Metrics for math.cos on complex, imaginary part

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-sub: 0.0ms (0% of total)

ival-exp: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

ival-sin: 0.0ms (0% of total)

ival-neg: 0.0ms (0% of total)

sample3.4s (32.9%)

Results

2.3s	3964×	1	valid
643.0ms	4292×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-exp: 1.1s (49.7% of total)

ival-sin: 497.0ms (23.4% of total)

ival-mult: 256.0ms (12% of total)

backward-pass: 136.0ms (6.4% of total)

ival-neg: 97.0ms (4.6% of total)

ival-sub: 71.0ms (3.3% of total)

const: 12.0ms (0.6% of total)

Bogosity

preprocess256.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

737×	`fma-neg`
661×	`fma-define`
244×	`distribute-lft-in`
219×	`distribute-rgt-in`
199×	`associate-*r/`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	316
1	80	308
2	261	308
3	887	304
4	2161	294
5	3608	294
6	4392	294
7	4927	294
8	5035	294
9	5035	294
10	5035	294
11	5035	294
12	5067	294
13	5097	294
14	5097	294

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 (neg.f64 re))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im))))
(neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 (neg.f64 re))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (-.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 (neg.f64 re))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (sin.f64 re) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (sin.f64 re) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 (neg.f64 re))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (-.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 im) (-.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))))
(*.f64 (sin.f64 im) (fma.f64 (exp.f64 re) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 re))))

Symmetry

(negabs re)

(negabs im)

explain205.0ms (2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
117	-	-	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`re`
0	-	-	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
0	-	-	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
0	-	-	`im`
0	-	-	`(sin.f64 re)`
0	-	-	`(neg.f64 im)`
0	-	-	`(exp.f64 (neg.f64 im))`
0	-	-	`(exp.f64 im)`

Results

126.0ms	230×	1	valid
40.0ms	282×	0	valid

Compiler

Compiled 85 to 32 computations (62.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-exp: 35.0ms (45% of total)

ival-sin: 17.0ms (21.9% of total)

ival-mult: 9.0ms (11.6% of total)

ival-neg: 6.0ms (7.7% of total)

backward-pass: 5.0ms (6.4% of total)

ival-sub: 4.0ms (5.1% of total)

const: 1.0ms (1.3% of total)

eval0.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.7%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(exp.f64 (neg.f64 im))
✓	cost-diff	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
✓	cost-diff	(sin.f64 re)
✓	cost-diff	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))

Rules

932×	`fma-define`
290×	`fma-neg`
115×	`distribute-lft-in`
88×	`distribute-rgt-in`
85×	`associate-r`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	128
1	28	128
2	59	128
3	131	128
4	261	126
5	426	126
6	687	126
7	1129	126
8	1787	126
9	2448	126
10	2544	126
11	2646	126
12	2661	126
13	2661	126

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (sin.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)

localize145.0ms (1.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (neg.f64 im))
✓	accuracy	100.0%	(exp.f64 im)
✓	accuracy	99.9%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	accuracy	57.6%	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

93.0ms	141×	0	valid
39.0ms	115×	1	valid

Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-sin: 79.0ms (71.4% of total)

ival-exp: 17.0ms (15.4% of total)

ival-mult: 5.0ms (4.5% of total)

ival-sub: 5.0ms (4.5% of total)

backward-pass: 3.0ms (2.7% of total)

ival-neg: 2.0ms (1.8% of total)

const: 0.0ms (0% of total)

series15.0ms (0.1%)

Counts

6 → 52

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re))>
#<alt (sin.f64 re)>
#<alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))>
#<alt (exp.f64 (neg.f64 im))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (exp.f64 im)>

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64)))))>
#<alt (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64)))))>
#<alt re>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))>
#<alt (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 re)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 re)) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) (sin.f64 re)) (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) im)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))>

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	im	@	-inf	(- (exp (neg im)) (exp im))
1.0ms	im	@	inf	(* (* 1/2 (sin re)) (- (exp (neg im)) (exp im)))
1.0ms	re	@	-inf	(* (* 1/2 (sin re)) (- (exp (neg im)) (exp im)))
1.0ms	re	@	0	(* (* 1/2 (sin re)) (- (exp (neg im)) (exp im)))
1.0ms	re	@	inf	(* (* 1/2 (sin re)) (- (exp (neg im)) (exp im)))

rewrite143.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

87×	`add-exp-log`
87×	`add-log-exp`
87×	`log1p-expm1-u`
87×	`expm1-log1p-u`
85×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	197	74
2	3040	74

Stop Event

1×

unsound

Counts

6 → 58

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(exp.f64 im)

Outputs
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(-.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal -3 binary64))
(*.f64 (sin.f64 re) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (sin.f64 re))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 (+.f64 re re))) #s(literal -2 binary64))
(pow.f64 (sin.f64 re) #s(literal -2 binary64))
(pow.f64 (sin.f64 re) #s(literal -3 binary64))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal -3 binary64)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)

simplify130.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

705×	`associate-r`
702×	`fma-define`
617×	`associate-l`
550×	`associate-+l+`
531×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	193	2488
1	514	2282
2	1450	2212
3	5025	2128

Stop Event

1×	node limit

Counts

110 → 132

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) re)
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64)))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64)))))
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 #s(literal -2 binary64) im)
(.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(.f64 #s(literal 1/2 binary64) (.f64 re (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 im (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 re)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
(.f64 im (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 re)) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))
(.f64 im (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) (sin.f64 re)) (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(-.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal -3 binary64))
(*.f64 (sin.f64 re) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (sin.f64 re))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 (+.f64 re re))) #s(literal -2 binary64))
(pow.f64 (sin.f64 re) #s(literal -2 binary64))
(pow.f64 (sin.f64 re) #s(literal -3 binary64))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal -3 binary64)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)

Outputs
(*.f64 #s(literal 1/2 binary64) re)
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 re (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64)))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/12 binary64)))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64)))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/10080 binary64))) #s(literal -1/12 binary64)))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/12 binary64))) #s(literal 1/2 binary64)))
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64)) re)
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re)
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/6 binary64))) (pow.f64 re #s(literal 3 binary64)) re)
(*.f64 #s(literal -2 binary64) im)
(.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 #s(literal 1 binary64) (neg.f64 im))
(-.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64))))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 im (fma.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im)) #s(literal -1 binary64))))
(fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(.f64 #s(literal 1/2 binary64) (.f64 re (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(.f64 re (fma.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(.f64 re (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 re (.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
(.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))
(.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal -1/12 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))
(.f64 re (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
(.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
(.f64 re (+.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 re (fma.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (pow.f64 re #s(literal 4 binary64))))))
(.f64 re (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/12 binary64))) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 im (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 re)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
(.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
(.f64 im (.f64 (sin.f64 re) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 im (.f64 (sin.f64 re) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))))
(.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(.f64 im (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 re)) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))
(.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (.f64 (.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re))))))
(.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (neg.f64 (sin.f64 re))))
(-.f64 (.f64 (.f64 (sin.f64 re) (pow.f64 im #s(literal 3 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (*.f64 im (sin.f64 re)))
(.f64 (sin.f64 re) (-.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im))
(.f64 im (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) (sin.f64 re)) (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))))
(.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (sin.f64 re) (.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))))
(.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 #s(literal -1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal -1/6 binary64) (sin.f64 re))) (neg.f64 (sin.f64 re))))
(.f64 im (fma.f64 (sin.f64 re) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))))
(.f64 im (.f64 (sin.f64 re) (+.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
(fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(-.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) re))))
(-.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 re #s(literal -2 binary64)))))
(+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 re #s(literal -2 binary64)))))
(fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 re #s(literal -2 binary64))) #s(literal -2 binary64))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal -3 binary64))
(+.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal 3 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)) #s(literal 3 binary64))
(+.f64 (sin.f64 re) #s(literal 4 binary64))
(*.f64 (sin.f64 re) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -3 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 (+.f64 re re))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) re))) #s(literal -2 binary64))
(-.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 re #s(literal 2 binary64))) #s(literal -2 binary64)))
(+.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 re) #s(literal -2 binary64))
(pow.f64 (sin.f64 re) #s(literal -3 binary64))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(sin.f64 re)
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(expm1.f64 (log1p.f64 (sin.f64 re)))
(sin.f64 re)
(log1p.f64 (expm1.f64 (sin.f64 re)))
(sin.f64 re)
(exp.f64 (log.f64 (sin.f64 re)))
(sin.f64 re)
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal -3 binary64)))
(pow.f64 (sin.f64 re) #s(literal -3 binary64))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)

eval160.0ms (1.6%)

Compiler: Compiled 2257 to 544 computations (75.9% saved)

prune21.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	127	5	132
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	127	6	133

Accuracy

99.9%

Counts

133 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.7%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	93.6%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
▶	83.7%	(.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
▶	48.1%	(*.f64 (neg.f64 im) (sin.f64 re))
▶	54.3%	(*.f64 #s(literal 8 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	23.0%	(*.f64 #s(literal -2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 147 to 106 computations (27.9% saved)

simplify163.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
✓	cost-diff	(-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)
	cost-diff	(sin.f64 re)
✓	cost-diff	(.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
	cost-diff	(exp.f64 im)
✓	cost-diff	(neg.f64 im)
	cost-diff	(exp.f64 (neg.f64 im))
	cost-diff	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
	cost-diff	(exp.f64 im)
✓	cost-diff	(neg.f64 im)
	cost-diff	(exp.f64 (neg.f64 im))
	cost-diff	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
	cost-diff	(sin.f64 re)
✓	cost-diff	(neg.f64 im)
✓	cost-diff	(*.f64 (neg.f64 im) (sin.f64 re))
✓	cost-diff	(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	cost-diff	(pow.f64 im #s(literal 2 binary64))
	cost-diff	(sin.f64 re)
	cost-diff	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))

Rules

760×	`fma-define`
691×	`associate-+r+`
568×	`distribute-lft-in`
533×	`distribute-rgt-in`
270×	`distribute-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	720
1	81	720
2	194	720
3	618	714
4	1845	714
5	4949	714

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
im
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))
(-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(*.f64 (neg.f64 im) (sin.f64 re))
(neg.f64 im)
im
(sin.f64 re)
re
(*.f64 #s(literal -2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(literal -2 binary64)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(*.f64 #s(literal 8 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(literal 8 binary64)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(sin.f64 re)
re
(-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 im #s(literal 3 binary64))
im
#s(literal 3 binary64)
#s(literal -1/6 binary64)

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))))
(.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))))
(.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) im)))
(.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))) (neg.f64 im)))
(.f64 (sin.f64 re) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 5 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64)))) im))
(.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 5 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64))) (neg.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -2 binary64))))
im
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3 binary64)) (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 4 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 4 binary64)) (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 6 binary64)))))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64))))
(-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))
(fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64))
#s(literal -1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 (sin.f64 re) (neg.f64 im))
(neg.f64 im)
im
(sin.f64 re)
re
(*.f64 #s(literal -2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(fma.f64 #s(literal 2 binary64) (exp.f64 im) (/.f64 #s(literal -2 binary64) (exp.f64 im)))
#s(literal -2 binary64)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(*.f64 #s(literal 8 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 8 binary64))
(fma.f64 #s(literal -8 binary64) (exp.f64 im) (/.f64 #s(literal 8 binary64) (exp.f64 im)))
(fma.f64 (exp.f64 im) #s(literal -8 binary64) (/.f64 #s(literal 8 binary64) (exp.f64 im)))
#s(literal 8 binary64)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(sin.f64 re)
re
(-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 im #s(literal 3 binary64))
im
#s(literal 3 binary64)
#s(literal -1/6 binary64)

localize426.0ms (4.2%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)
	accuracy	100.0%	(sin.f64 re)
✓	accuracy	99.8%	(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
✓	accuracy	93.9%	(.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
✓	accuracy	100.0%	(neg.f64 im)
	accuracy	100.0%	(exp.f64 (neg.f64 im))
	accuracy	100.0%	(exp.f64 im)
	accuracy	57.6%	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
✓	accuracy	100.0%	(neg.f64 im)
	accuracy	100.0%	(exp.f64 (neg.f64 im))
	accuracy	100.0%	(exp.f64 im)
	accuracy	57.6%	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
	accuracy	100.0%	(sin.f64 re)
✓	accuracy	100.0%	(neg.f64 im)
✓	accuracy	99.8%	(*.f64 (neg.f64 im) (sin.f64 re))
✓	accuracy	99.8%	(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))
✓	accuracy	99.8%	(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
✓	accuracy	99.5%	(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	accuracy	99.1%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))

Results

257.0ms	141×	0	valid
113.0ms	115×	1	valid

Compiler

Compiled 226 to 34 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 255.0ms

ival-sub: 163.0ms (63.9% of total)

ival-mult: 28.0ms (11% of total)

ival-exp: 18.0ms (7.1% of total)

...c/correct-round.rkt:121:19: 18.0ms (7.1% of total)

ival-pow: 11.0ms (4.3% of total)

backward-pass: 8.0ms (3.1% of total)

ival-sin: 6.0ms (2.4% of total)

ival-neg: 2.0ms (0.8% of total)

const: 1.0ms (0.4% of total)

series164.0ms (1.6%)

Counts

10 → 127

Calls

Call 1

Inputs
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (neg.f64 im) (sin.f64 re))>
#<alt (neg.f64 im)>
#<alt (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))>
#<alt (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))>

Outputs
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal 1/6 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) im)))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) im) (.f64 #s(literal 1/5040 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (.f64 re (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>

Calls

39 calls:

Time	Variable		Point	Expression
4.0ms	re	@	inf	(* (* 1/2 (sin re)) (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)))
2.0ms	re	@	0	(* (* 1/2 (sin re)) (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)))
2.0ms	im	@	0	(* (neg im) (sin re))
1.0ms	re	@	-inf	(* (* 1/2 (sin re)) (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)))
1.0ms	im	@	inf	(* (* 1/2 (sin re)) (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)))

rewrite476.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

865×	`prod-diff`
367×	`log1p-expm1-u`
227×	`associate-r`
201×	`expm1-log1p-u`
196×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	297
1	467	281
2	6224	281

Stop Event

1×	node limit

Counts

10 → 354

Calls

Call 1

Inputs
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (neg.f64 im) (sin.f64 re))
(neg.f64 im)
(.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 (cbrt.f64 im) im))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 im) (pow.f64 im #s(literal 3/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 im))
(.f64 (.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(neg.f64 (pow.f64 im #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/16003008000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal -1/2520 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/16003008000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (sin.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (sin.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (sin.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (sin.f64 re))) #s(literal 2 binary64))
(neg.f64 (*.f64 im (sin.f64 re)))
(sqrt.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (sin.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (sin.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 im (sin.f64 re))))
(exp.f64 (log.f64 (*.f64 im (sin.f64 re))))
(exp.f64 (.f64 (log.f64 (.f64 im (sin.f64 re))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) im)
(-.f64 #s(literal 0 binary64) im)
(-.f64 (exp.f64 (log1p.f64 im)) #s(literal 1 binary64))
(*.f64 im #s(literal 1 binary64))
(*.f64 im #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) im)
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 im))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im)))
(*.f64 (cbrt.f64 im) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 im))
(*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 (neg.f64 (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 im)) (sqrt.f64 im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) im))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64))) im)
(pow.f64 im #s(literal 1 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
(fabs.f64 im)
(log.f64 (exp.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 im)))
(cbrt.f64 (pow.f64 im #s(literal 3 binary64)))
im
(expm1.f64 (log1p.f64 im))
(log1p.f64 (expm1.f64 im))
(exp.f64 (log.f64 im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 im (sin.f64 re)))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (sin.f64 re)) (*.f64 im (sin.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))) #s(literal 1 binary64))
(/.f64 (.f64 (sin.f64 re) (+.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) #s(literal 2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64)))))
(/.f64 (*.f64 (sin.f64 re) (pow.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (sin.f64 re)) (+.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) #s(literal 2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64)))))
(/.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) #s(literal 2 binary64)) (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(pow.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) #s(literal 3 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))))
(exp.f64 (log.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))
(+.f64 im (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(+.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)
(+.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (fma.f64 im #s(literal 1 binary64) im))
(+.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (fma.f64 (neg.f64 (cbrt.f64 im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) im))
(+.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (fma.f64 (neg.f64 (sqrt.f64 im)) (sqrt.f64 im) im))
(+.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (fma.f64 #s(literal -1 binary64) im im))
(+.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (fma.f64 #s(literal 1 binary64) im im))
(+.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im) im))
(+.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 im))) (sqrt.f64 im) im))
(+.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (fma.f64 im #s(literal -1 binary64) im))
(+.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (fma.f64 (neg.f64 (sqrt.f64 im)) (neg.f64 (sqrt.f64 im)) im))
(+.f64 (fma.f64 im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) im) (fma.f64 im #s(literal 1 binary64) im))
(+.f64 (fma.f64 im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) im) (fma.f64 (neg.f64 (cbrt.f64 im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) im))
(+.f64 (fma.f64 im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) im) (fma.f64 (neg.f64 (sqrt.f64 im)) (sqrt.f64 im) im))
(+.f64 (fma.f64 im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) im) (fma.f64 #s(literal -1 binary64) im im))
(+.f64 (fma.f64 im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) im) (fma.f64 #s(literal 1 binary64) im im))
(+.f64 (fma.f64 im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) im) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im) im))
(+.f64 (fma.f64 im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) im) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 im))) (sqrt.f64 im) im))
(+.f64 (fma.f64 im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) im) (fma.f64 im #s(literal -1 binary64) im))
(+.f64 (fma.f64 im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) im) (fma.f64 (neg.f64 (sqrt.f64 im)) (neg.f64 (sqrt.f64 im)) im))
(+.f64 (fma.f64 im (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (neg.f64 (.f64 (neg.f64 (cbrt.f64 im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 im))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))))
(+.f64 (fma.f64 im (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (neg.f64 (.f64 (cbrt.f64 im) (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 im)) (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 im) (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))))
(+.f64 (fma.f64 im (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (neg.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))))))
(+.f64 (fma.f64 im (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (neg.f64 (.f64 (cbrt.f64 im) (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 im)) (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (.f64 (cbrt.f64 im) (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))))
(+.f64 (fma.f64 im (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (neg.f64 (.f64 (sqrt.f64 im) (.f64 #s(literal -1 binary64) (sqrt.f64 im))))) (fma.f64 (neg.f64 (sqrt.f64 im)) (.f64 #s(literal -1 binary64) (sqrt.f64 im)) (.f64 (sqrt.f64 im) (.f64 #s(literal -1 binary64) (sqrt.f64 im)))))
(+.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 im #s(literal -1/6 binary64)) im) (fma.f64 im #s(literal 1 binary64) im))
(+.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 im #s(literal -1/6 binary64)) im) (fma.f64 (neg.f64 (cbrt.f64 im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) im))
(+.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 im #s(literal -1/6 binary64)) im) (fma.f64 (neg.f64 (sqrt.f64 im)) (sqrt.f64 im) im))
(+.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 im #s(literal -1/6 binary64)) im) (fma.f64 #s(literal -1 binary64) im im))
(+.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 im #s(literal -1/6 binary64)) im) (fma.f64 #s(literal 1 binary64) im im))
(+.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 im #s(literal -1/6 binary64)) im) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im) im))
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(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 2 binary64)) #s(literal -1/9 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 1/3 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal -1/27 binary64)) (pow.f64 im #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 2 binary64)) #s(literal -1/9 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/16003008000 binary64)) #s(literal -1/216000 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) (+.f64 #s(literal 1/3600 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64)))))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/16003008000 binary64)) #s(literal -1/216000 binary64)) (pow.f64 im #s(literal 2 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) (+.f64 #s(literal 1/3600 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))) #s(literal 1 binary64)))

simplify901.0ms (8.8%)

Algorithm

1×	egg-herbie

Rules

426×	`fma-define`
323×	`*-commutative`
308×	`unsub-neg`
303×	`+-commutative`
278×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	892	20300
1	2212	18163
2	5894	17461

Stop Event

1×	node limit

Counts

481 → 524

Calls

Call 1

Inputs
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal 1/6 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))
(.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) im)))))
(.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) im) (.f64 #s(literal 1/5040 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(.f64 re (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(.f64 re (-.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))) im))
(.f64 re (-.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)))))) im))
(.f64 re (-.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))) (.f64 #s(literal 1/120 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))))))) im))
(.f64 (sin.f64 re) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(.f64 (sin.f64 re) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(.f64 (sin.f64 re) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(.f64 (sin.f64 re) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(.f64 (sin.f64 re) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(.f64 (sin.f64 re) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(.f64 (sin.f64 re) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(.f64 (sin.f64 re) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 im (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 re)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
(.f64 im (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 re)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
(.f64 im (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 re)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
(.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (sin.f64 re)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))
(.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) im)
(.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
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(pow.f64 (.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
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(cbrt.f64 (.f64 (pow.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
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(exp.f64 (.f64 (log.f64 (.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal -1/27 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 2 binary64)) #s(literal -1/9 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 1/3 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal -1/27 binary64)) (pow.f64 im #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 2 binary64)) #s(literal -1/9 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/16003008000 binary64)) #s(literal -1/216000 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) (+.f64 #s(literal 1/3600 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64)))))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/16003008000 binary64)) #s(literal -1/216000 binary64)) (pow.f64 im #s(literal 2 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) (+.f64 #s(literal 1/3600 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im re))
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(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/16003008000 binary64)) #s(literal -1/216000 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) (+.f64 #s(literal 1/3600 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64)))))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/16003008000 binary64) #s(literal -1/216000 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64) (+.f64 #s(literal 1/3600 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/16003008000 binary64) #s(literal -1/216000 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64)))))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal 1/60 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal 1/60 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/16003008000 binary64)) #s(literal -1/216000 binary64)) (pow.f64 im #s(literal 2 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) (+.f64 #s(literal 1/3600 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64)))))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/16003008000 binary64) #s(literal -1/216000 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64) (+.f64 #s(literal 1/3600 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/16003008000 binary64) #s(literal -1/216000 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal 1/60 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal 1/60 binary64))))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))) #s(literal 3 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(pow.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 3 binary64))))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))) #s(literal 2 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))

eval365.0ms (3.6%)

Compiler: Compiled 18276 to 2837 computations (84.5% saved)

prune126.0ms (1.2%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	836	12	848
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	839	15	854

Accuracy

100.0%

Counts

854 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(.f64 (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im))) (sin.f64 re))
	47.9%	(.f64 (.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))
✓	66.7%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	93.6%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
✓	83.7%	(.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
✓	48.1%	(*.f64 (neg.f64 im) (sin.f64 re))
	48.1%	(*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))
▶	48.0%	(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))
▶	35.5%	(*.f64 (neg.f64 im) re)
	62.0%	(.f64 (exp.f64 (log.f64 (sin.f64 re))) (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
	58.1%	(.f64 re (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
▶	44.1%	(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
▶	5.8%	(.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) im))
	12.9%	(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
	4.4%	(.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) im))

Compiler

Compiled 294 to 218 computations (25.9% saved)

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f64 (sin.f64 re))
	cost-diff	0	(neg.f64 im)
✓	cost-diff	12800	(expm1.f64 (log1p.f64 (sin.f64 re)))
✓	cost-diff	12800	(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))
✓	cost-diff	-6272	(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(-.f64 #s(literal 27 binary64) (exp.f64 im))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) im)
✓	cost-diff	128	(.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) im))
	cost-diff	0	(neg.f64 im)
✓	cost-diff	0	(*.f64 (neg.f64 im) re)
✓	cost-diff	-6336	(.f64 #s(literal -1/2520 binary64) (.f64 im im))
	cost-diff	0	(pow.f64 im #s(literal 2 binary64))
	cost-diff	0	(sin.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))

Rules

880×	`distribute-lft-in`
830×	`distribute-rgt-in`
827×	`fma-define`
299×	`distribute-lft-out`
280×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	580
1	87	580
2	190	578
3	534	566
4	1777	566
5	6247	566

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
im
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)))
(-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
#s(literal -1/2520 binary64)
(*.f64 im im)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(*.f64 (neg.f64 im) re)
(neg.f64 im)
im
re
(.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) im))
#s(literal 8 binary64)
(*.f64 #s(literal -2 binary64) im)
#s(literal -2 binary64)
im
(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
#s(literal 8 binary64)
(-.f64 #s(literal 27 binary64) (exp.f64 im))
#s(literal 27 binary64)
(exp.f64 im)
im
(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))
(neg.f64 im)
im
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (sin.f64 re))
(sin.f64 re)
re

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) im)))
(.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))) (neg.f64 im)))
(.f64 (sin.f64 re) (fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))))
im
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64))))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))
(fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
(pow.f64 im #s(literal 2 binary64))
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(*.f64 (neg.f64 im) re)
(*.f64 re (neg.f64 im))
(*.f64 im (neg.f64 re))
(neg.f64 im)
im
re
(.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal -16 binary64) im)
(*.f64 im #s(literal -16 binary64))
#s(literal 8 binary64)
(*.f64 #s(literal -2 binary64) im)
(*.f64 im #s(literal -2 binary64))
#s(literal -2 binary64)
im
(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(+.f64 #s(literal 216 binary64) (*.f64 #s(literal -8 binary64) (exp.f64 im)))
(fma.f64 #s(literal -8 binary64) (exp.f64 im) #s(literal 216 binary64))
(fma.f64 (exp.f64 im) #s(literal -8 binary64) #s(literal 216 binary64))
#s(literal 8 binary64)
(-.f64 #s(literal 27 binary64) (exp.f64 im))
#s(literal 27 binary64)
(exp.f64 im)
im
(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))
(*.f64 im (neg.f64 (expm1.f64 (log1p.f64 (sin.f64 re)))))
(*.f64 im (neg.f64 (+.f64 (sin.f64 re) #s(literal 0 binary64))))
(*.f64 (sin.f64 re) (neg.f64 im))
(neg.f64 (*.f64 (sin.f64 re) im))
(neg.f64 im)
im
(expm1.f64 (log1p.f64 (sin.f64 re)))
(sin.f64 re)
(log1p.f64 (sin.f64 re))
(sin.f64 re)
re

localize146.0ms (1.4%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(neg.f64 im)
✓	accuracy	99.8%	(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))
✓	accuracy	99.7%	(expm1.f64 (log1p.f64 (sin.f64 re)))
✓	accuracy	99.6%	(log1p.f64 (sin.f64 re))
✓	accuracy	100.0%	(-.f64 #s(literal 27 binary64) (exp.f64 im))
✓	accuracy	100.0%	(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
	accuracy	100.0%	(exp.f64 im)
✓	accuracy	100.0%	(.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) im))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) im)
✓	accuracy	100.0%	(*.f64 (neg.f64 im) re)
	accuracy	100.0%	(neg.f64 im)
✓	accuracy	99.8%	(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)))
✓	accuracy	99.8%	(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
✓	accuracy	99.5%	(.f64 #s(literal -1/2520 binary64) (.f64 im im))
✓	accuracy	99.1%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))

Results

101.0ms

256×

valid

Compiler

Compiled 195 to 33 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 21.0ms (34.6% of total)

...c/correct-round.rkt:121:19: 13.0ms (21.4% of total)

ival-sin: 6.0ms (9.9% of total)

ival-sub: 5.0ms (8.2% of total)

ival-expm1: 4.0ms (6.6% of total)

ival-log1p: 3.0ms (4.9% of total)

ival-pow: 3.0ms (4.9% of total)

ival-exp: 2.0ms (3.3% of total)

ival-neg: 2.0ms (3.3% of total)

const: 1.0ms (1.6% of total)

backward-pass: 0.0ms (0% of total)

series77.0ms (0.8%)

Counts

12 → 152

Calls

Call 1

Inputs
#<alt (.f64 #s(literal -1/2520 binary64) (.f64 im im))>
#<alt (*.f64 (neg.f64 im) re)>
#<alt (.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) im))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (-.f64 #s(literal 27 binary64) (exp.f64 im))>
#<alt (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt (*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))>
#<alt (expm1.f64 (log1p.f64 (sin.f64 re)))>
#<alt (log1p.f64 (sin.f64 re))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)))>

Outputs
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt #s(literal 26 binary64)>
#<alt (+.f64 #s(literal 26 binary64) (*.f64 #s(literal -1 binary64) im))>
#<alt (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64))))>
#<alt #s(literal 208 binary64)>
#<alt (+.f64 #s(literal 208 binary64) (*.f64 #s(literal -8 binary64) im))>
#<alt (+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))>
#<alt (+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal 1/6 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) im)))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) im) (.f64 #s(literal 1/5040 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt re>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt re>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) re)))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (-.f64 (.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/12 binary64) re))) #s(literal 1/2 binary64)))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (.f64 re (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/240 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/10080 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 1/240 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 re)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 re)) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) (sin.f64 re)) (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))))>
#<alt (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 7 binary64)) (sin.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/5040 binary64) (sin.f64 re))))>
#<alt (.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/120 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal -1/5040 binary64) (sin.f64 re)))))>
#<alt (.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/120 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/5040 binary64) (sin.f64 re))))))>
#<alt (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 7 binary64)) (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 (.f64 #s(literal 1/5040 binary64) (sin.f64 re)) (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 (.f64 #s(literal 1/5040 binary64) (sin.f64 re)) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 (.f64 #s(literal 1/5040 binary64) (sin.f64 re)) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 6 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/2520 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/2520 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 6 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/2520 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/2520 binary64)))>
#<alt (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>

Calls

45 calls:

Time	Variable		Point	Expression
40.0ms	re	@	inf	(log (+ 1 (sin re)))
15.0ms	re	@	-inf	(log (+ 1 (sin re)))
2.0ms	im	@	-inf	(* 8 (- 27 (exp im)))
2.0ms	im	@	-inf	(* (* 1/2 (sin re)) (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (* im im)) 1/60)) 1/3)) 2)))
1.0ms	im	@	inf	(* (neg im) re)

rewrite215.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`log1p-expm1-u`
268×	`associate-r`
248×	`prod-diff`
231×	`expm1-log1p-u`
225×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	291
1	548	283
2	6926	283

Stop Event

1×	node limit

Counts

12 → 216

Calls

Call 1

Inputs
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(*.f64 (neg.f64 im) re)
(.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal -2 binary64) im)
(-.f64 #s(literal 27 binary64) (exp.f64 im))
(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (sin.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal -1/16003008000 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal -1/2520 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 #s(literal -1/16003008000 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 im re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im re))) #s(literal 1 binary64))
(pow.f64 (*.f64 im re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im re)) #s(literal 2 binary64))
(neg.f64 (*.f64 im re))
(sqrt.f64 (pow.f64 (*.f64 im re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im re))))
(cbrt.f64 (pow.f64 (*.f64 im re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im re)))
(log1p.f64 (expm1.f64 (*.f64 im re)))
(exp.f64 (log.f64 (*.f64 im re)))
(exp.f64 (.f64 (log.f64 (.f64 im re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal -16 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal -16 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal -16 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal -16 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal -16 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 256 binary64) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal -16 binary64)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal -16 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal -16 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal -16 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal -16 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal -16 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 im #s(literal -16 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal -2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 im #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 27 binary64) (neg.f64 (exp.f64 im)))
(+.f64 #s(literal 27 binary64) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64)))
(+.f64 (neg.f64 (exp.f64 im)) #s(literal 27 binary64))
(*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))) (cbrt.f64 (pow.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))) (sqrt.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(.f64 (-.f64 #s(literal 19683 binary64) (exp.f64 (.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 729 binary64) (*.f64 (exp.f64 im) (+.f64 #s(literal 27 binary64) (exp.f64 im))))))
(*.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 27 binary64) (exp.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 729 binary64) (.f64 (exp.f64 im) (+.f64 #s(literal 27 binary64) (exp.f64 im)))) (-.f64 #s(literal 19683 binary64) (exp.f64 (.f64 im #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (exp.f64 im)) (-.f64 #s(literal 729 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 19683 binary64) (exp.f64 (.f64 im #s(literal 3 binary64)))) (+.f64 #s(literal 729 binary64) (.f64 (exp.f64 im) (+.f64 #s(literal 27 binary64) (exp.f64 im)))))
(/.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 #s(literal 27 binary64) (exp.f64 im)))
(/.f64 (neg.f64 (-.f64 #s(literal 19683 binary64) (exp.f64 (.f64 im #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 729 binary64) (.f64 (exp.f64 im) (+.f64 #s(literal 27 binary64) (exp.f64 im))))))
(/.f64 (neg.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 27 binary64) (exp.f64 im))))
(/.f64 (+.f64 #s(literal 19683 binary64) (pow.f64 (neg.f64 (exp.f64 im)) #s(literal 3 binary64))) (+.f64 #s(literal 729 binary64) (-.f64 (.f64 (neg.f64 (exp.f64 im)) (neg.f64 (exp.f64 im))) (.f64 #s(literal 27 binary64) (neg.f64 (exp.f64 im))))))
(/.f64 (-.f64 #s(literal 729 binary64) (*.f64 (neg.f64 (exp.f64 im)) (neg.f64 (exp.f64 im)))) (-.f64 #s(literal 27 binary64) (neg.f64 (exp.f64 im))))
(pow.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(exp.f64 (log.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 1 binary64)))
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(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))
(+.f64 (.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16003008000 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1/216000 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) (+.f64 #s(literal 1/3600 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64)))))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64))) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/60 binary64)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/16003008000 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1/216000 binary64)) (pow.f64 im #s(literal 2 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) (+.f64 #s(literal 1/3600 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/60 binary64)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))) #s(literal 1 binary64)))

simplify189.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

511×	`associate-r`
480×	`associate-l`
346×	`fma-define`
281×	`*-commutative`
243×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	702	12112
1	1654	11838
2	5620	11468

Stop Event

1×	node limit

Counts

368 → 390

Calls

Call 1

Inputs
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 #s(literal -16 binary64) im)
(*.f64 #s(literal -16 binary64) im)
(*.f64 #s(literal -16 binary64) im)
(*.f64 #s(literal -16 binary64) im)
(*.f64 #s(literal -16 binary64) im)
(*.f64 #s(literal -16 binary64) im)
(*.f64 #s(literal -16 binary64) im)
(*.f64 #s(literal -16 binary64) im)
(*.f64 #s(literal -16 binary64) im)
(*.f64 #s(literal -16 binary64) im)
(*.f64 #s(literal -16 binary64) im)
(*.f64 #s(literal -16 binary64) im)
#s(literal 26 binary64)
(+.f64 #s(literal 26 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))))
(+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(literal 208 binary64)
(+.f64 #s(literal 208 binary64) (*.f64 #s(literal -8 binary64) im))
(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))
(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal 1/6 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))
(.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) im)))))
(.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) im) (.f64 #s(literal 1/5040 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) re)))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (-.f64 (.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/12 binary64) re))) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 im (.f64 re (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
(.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/240 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))))))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/10080 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 1/240 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))))))
(.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
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(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/16003008000 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1/216000 binary64)) (pow.f64 im #s(literal 2 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) (+.f64 #s(literal 1/3600 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/60 binary64)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(*.f64 #s(literal -16 binary64) im)
(*.f64 im #s(literal -16 binary64))
(*.f64 #s(literal -16 binary64) im)
(*.f64 im #s(literal -16 binary64))
(*.f64 #s(literal -16 binary64) im)
(*.f64 im #s(literal -16 binary64))
(*.f64 #s(literal -16 binary64) im)
(*.f64 im #s(literal -16 binary64))
(*.f64 #s(literal -16 binary64) im)
(*.f64 im #s(literal -16 binary64))
(*.f64 #s(literal -16 binary64) im)
(*.f64 im #s(literal -16 binary64))
(*.f64 #s(literal -16 binary64) im)
(*.f64 im #s(literal -16 binary64))
(*.f64 #s(literal -16 binary64) im)
(*.f64 im #s(literal -16 binary64))
(*.f64 #s(literal -16 binary64) im)
(*.f64 im #s(literal -16 binary64))
(*.f64 #s(literal -16 binary64) im)
(*.f64 im #s(literal -16 binary64))
(*.f64 #s(literal -16 binary64) im)
(*.f64 im #s(literal -16 binary64))
(*.f64 #s(literal -16 binary64) im)
(*.f64 im #s(literal -16 binary64))
#s(literal 26 binary64)
(+.f64 #s(literal 26 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 #s(literal 26 binary64) (neg.f64 im))
(-.f64 #s(literal 26 binary64) im)
(+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))))
(+.f64 #s(literal 26 binary64) (*.f64 im (fma.f64 #s(literal -1/2 binary64) im #s(literal -1 binary64))))
(fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))
(+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 26 binary64) (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 26 binary64))
#s(literal 208 binary64)
(+.f64 #s(literal 208 binary64) (*.f64 #s(literal -8 binary64) im))
(+.f64 #s(literal 208 binary64) (*.f64 im #s(literal -8 binary64)))
(fma.f64 im #s(literal -8 binary64) #s(literal 208 binary64))
(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))
(+.f64 #s(literal 208 binary64) (*.f64 im (fma.f64 #s(literal -4 binary64) im #s(literal -8 binary64))))
(fma.f64 im (fma.f64 im #s(literal -4 binary64) #s(literal -8 binary64)) #s(literal 208 binary64))
(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))
(+.f64 #s(literal 208 binary64) (*.f64 im (fma.f64 im (fma.f64 #s(literal -4/3 binary64) im #s(literal -4 binary64)) #s(literal -8 binary64))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal -4/3 binary64) #s(literal -4 binary64)) #s(literal -8 binary64)) #s(literal 208 binary64))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 im (neg.f64 re))
(.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal 1/6 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))
(.f64 re (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 im (neg.f64 re) (.f64 (.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64))))
(.f64 re (.f64 im (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) im)))))
(.f64 re (fma.f64 #s(literal -1 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))) (.f64 im #s(literal 1/6 binary64))))))
(.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (.f64 im #s(literal -1/120 binary64)) (pow.f64 re #s(literal 2 binary64)) (*.f64 im #s(literal 1/6 binary64))) (neg.f64 im)))
(-.f64 (.f64 (.f64 im (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 re #s(literal 3 binary64))) (.f64 im re))
(.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) im) (.f64 #s(literal 1/5040 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
(.f64 re (fma.f64 #s(literal -1 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) im (.f64 (*.f64 im (pow.f64 re #s(literal 2 binary64))) #s(literal 1/5040 binary64))))))))
(.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im #s(literal -1/120 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im #s(literal 1/5040 binary64)))) (.f64 im #s(literal 1/6 binary64))) (neg.f64 im)))
(-.f64 (.f64 (fma.f64 im #s(literal 1/6 binary64) (.f64 (.f64 im (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal -1/120 binary64) (.f64 #s(literal 1/5040 binary64) (pow.f64 re #s(literal 2 binary64)))))) (pow.f64 re #s(literal 3 binary64))) (*.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 re (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(+.f64 re (*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
(+.f64 re (*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64))))
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) re)))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal -1/2 binary64))))
(*.f64 re (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))))
(*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (-.f64 (.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/12 binary64) re))) #s(literal 1/2 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (fma.f64 re (+.f64 #s(literal 1/6 binary64) (*.f64 re #s(literal -1/12 binary64))) #s(literal -1/2 binary64)))))
(*.f64 re (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))
(log1p.f64 (sin.f64 re))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))
(log1p.f64 (sin.f64 re))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))
(log1p.f64 (sin.f64 re))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))
(log1p.f64 (sin.f64 re))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))
(log1p.f64 (sin.f64 re))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))
(log1p.f64 (sin.f64 re))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))
(log1p.f64 (sin.f64 re))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))
(log1p.f64 (sin.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 im (.f64 re (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
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(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/216000 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/16003008000 binary64) #s(literal -1/216000 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/60 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/60 binary64))))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))) #s(literal 3 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))) #s(literal 2 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))

eval90.0ms (0.9%)

Compiler: Compiled 11707 to 2300 computations (80.4% saved)

prune92.0ms (0.9%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	602	8	610
Fresh	0	7	7
Picked	2	3	5
Done	1	2	3
Total	605	20	625

Accuracy

100.0%

Counts

625 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.7%	(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))
	25.7%	(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))
	47.3%	(.f64 (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im))) (sin.f64 re))
	47.9%	(.f64 (.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))
▶	93.6%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
✓	83.7%	(.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
	34.4%	(*.f64 (neg.f64 im) (-.f64 (+.f64 (sin.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	48.1%	(*.f64 (neg.f64 im) (sin.f64 re))
▶	48.1%	(*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))
✓	48.0%	(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))
	42.3%	(*.f64 (neg.f64 im) (cbrt.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64))))
✓	35.5%	(*.f64 (neg.f64 im) re)
	62.0%	(.f64 (exp.f64 (log.f64 (sin.f64 re))) (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
	58.1%	(.f64 re (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
	18.0%	(*.f64 im re)
	5.8%	(*.f64 im #s(literal -16 binary64))
✓	44.1%	(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
▶	12.9%	(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
▶	4.4%	(.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) im))
▶	2.2%	#s(literal 208 binary64)

Compiler

Compiled 364 to 272 computations (25.3% saved)

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(expm1.f64 (sin.f64 re))
	cost-diff	0	(neg.f64 im)
✓	cost-diff	12800	(log1p.f64 (expm1.f64 (sin.f64 re)))
✓	cost-diff	12800	(*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))
✓	cost-diff	-6272	(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
	cost-diff	0	(exp.f64 im)
	cost-diff	0	(-.f64 #s(literal 27 binary64) (exp.f64 im))
	cost-diff	0	(*.f64 #s(literal -2 binary64) im)
✓	cost-diff	128	(.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) im))
✓	cost-diff	-6336	(*.f64 im im)
	cost-diff	0	(pow.f64 im #s(literal 2 binary64))
	cost-diff	0	(sin.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))

Rules

690×	`fma-define`
629×	`sub-neg`
559×	`distribute-lft-in`
537×	`distribute-rgt-in`
521×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	539
1	86	539
2	185	539
3	515	533
4	1580	533
5	4762	533
6	7515	533

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
im
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)))
(*.f64 im im)
(-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
#s(literal -1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 208 binary64)
(.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) im))
#s(literal -2 binary64)
(*.f64 #s(literal -2 binary64) im)
im
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
#s(literal -2 binary64)
(-.f64 #s(literal 27 binary64) (exp.f64 im))
#s(literal 27 binary64)
(exp.f64 im)
im
(*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))
(neg.f64 im)
im
(log1p.f64 (expm1.f64 (sin.f64 re)))
(expm1.f64 (sin.f64 re))
(sin.f64 re)
re

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))))
(.f64 (sin.f64 re) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) im)))
(.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64))) (neg.f64 im)))
(.f64 (sin.f64 re) (fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3 binary64))) #s(literal -2 binary64)))
im
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal -2 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3 binary64))) #s(literal -2 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3 binary64))))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3 binary64)))
(.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64))))
(*.f64 im im)
(pow.f64 im #s(literal 2 binary64))
(-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))
(fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64))
#s(literal -1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 208 binary64)
(.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal 4 binary64) im)
(*.f64 im #s(literal 4 binary64))
#s(literal -2 binary64)
(*.f64 #s(literal -2 binary64) im)
(*.f64 im #s(literal -2 binary64))
im
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(+.f64 #s(literal -54 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 im)))
(fma.f64 #s(literal 2 binary64) (exp.f64 im) #s(literal -54 binary64))
#s(literal -2 binary64)
(-.f64 #s(literal 27 binary64) (exp.f64 im))
#s(literal 27 binary64)
(exp.f64 im)
im
(*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))
(*.f64 (sin.f64 re) (neg.f64 im))
(*.f64 im (neg.f64 (sin.f64 re)))
(neg.f64 im)
im
(log1p.f64 (expm1.f64 (sin.f64 re)))
(sin.f64 re)
(expm1.f64 (sin.f64 re))
(sin.f64 re)
re

localize143.0ms (1.4%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(neg.f64 im)
✓	accuracy	99.8%	(*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))
✓	accuracy	99.8%	(expm1.f64 (sin.f64 re))
✓	accuracy	99.8%	(log1p.f64 (expm1.f64 (sin.f64 re)))
	accuracy	100.0%	(-.f64 #s(literal 27 binary64) (exp.f64 im))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
	accuracy	100.0%	(exp.f64 im)
✓	accuracy	100.0%	(.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) im))
	accuracy	100.0%	(*.f64 #s(literal -2 binary64) im)
✓	accuracy	99.8%	(.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)))
✓	accuracy	99.8%	(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
	accuracy	99.5%	(.f64 #s(literal -1/2520 binary64) (.f64 im im))
✓	accuracy	99.1%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))

Results

101.0ms

256×

valid

Compiler

Compiled 187 to 32 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 21.0ms (32.1% of total)

ival-sub: 15.0ms (22.9% of total)

...c/correct-round.rkt:121:19: 11.0ms (16.8% of total)

ival-sin: 7.0ms (10.7% of total)

ival-log1p: 3.0ms (4.6% of total)

ival-pow: 3.0ms (4.6% of total)

ival-exp: 2.0ms (3.1% of total)

ival-expm1: 2.0ms (3.1% of total)

const: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

backward-pass: 0.0ms (0% of total)

series15.0ms (0.1%)

Counts

9 → 124

Calls

Call 1

Inputs
#<alt (*.f64 im im)>
#<alt (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) im))>
#<alt (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt (*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))>
#<alt (log1p.f64 (expm1.f64 (sin.f64 re)))>
#<alt (expm1.f64 (sin.f64 re))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))>
#<alt (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)))>

Outputs
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 4 binary64) im)>
#<alt (*.f64 #s(literal 4 binary64) im)>
#<alt (*.f64 #s(literal 4 binary64) im)>
#<alt (*.f64 #s(literal 4 binary64) im)>
#<alt (*.f64 #s(literal 4 binary64) im)>
#<alt (*.f64 #s(literal 4 binary64) im)>
#<alt (*.f64 #s(literal 4 binary64) im)>
#<alt (*.f64 #s(literal 4 binary64) im)>
#<alt (*.f64 #s(literal 4 binary64) im)>
#<alt (*.f64 #s(literal 4 binary64) im)>
#<alt (*.f64 #s(literal 4 binary64) im)>
#<alt (*.f64 #s(literal 4 binary64) im)>
#<alt #s(literal -52 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 52 binary64))>
#<alt (-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))>
#<alt (-.f64 (.f64 im (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) im))))) #s(literal 52 binary64))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im re))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal 1/6 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) im)))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) im) (.f64 #s(literal 1/5040 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt re>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt re>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/15 binary64) re) #s(literal 1/8 binary64)))))))>
#<alt (-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (.f64 re (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/240 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/10080 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 1/240 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 re)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 re)) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) (sin.f64 re)) (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))))>
#<alt (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 7 binary64)) (sin.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/5040 binary64) (sin.f64 re))))>
#<alt (.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/120 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal -1/5040 binary64) (sin.f64 re)))))>
#<alt (.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/120 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/5040 binary64) (sin.f64 re))))))>
#<alt (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 7 binary64)) (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 (.f64 #s(literal 1/5040 binary64) (sin.f64 re)) (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 (.f64 #s(literal 1/5040 binary64) (sin.f64 re)) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 (.f64 #s(literal 1/5040 binary64) (sin.f64 re)) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 6 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/2520 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/2520 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 6 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/2520 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/2520 binary64)))>
#<alt (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	re	@	0	(* (* 1/2 (sin re)) (* im (- (* (pow im 2) (- (* (* im im) (- (* -1/2520 (* im im)) 1/60)) 1/3)) 2)))
0.0ms	im	@	inf	(* -2 (* -2 im))
0.0ms	re	@	0	(- (exp (sin re)) 1)
0.0ms	im	@	-inf	(* -2 (* -2 im))
0.0ms	im	@	inf	(* -2 (- 27 (exp im)))

rewrite197.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

654×	`log1p-expm1-u`
257×	`prod-diff`
252×	`associate-r`
221×	`expm1-log1p-u`
216×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	244
1	523	240
2	6636	240

Stop Event

1×	node limit

Counts

9 → 157

Calls

Call 1

Inputs
(*.f64 im im)
(.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(expm1.f64 (sin.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (pow.f64 im #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 im)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 16 binary64) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 4 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal 4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal -54 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 im))))
(+.f64 #s(literal -54 binary64) (*.f64 (neg.f64 (exp.f64 im)) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (-.f64 #s(literal 19683 binary64) (exp.f64 (.f64 im #s(literal 3 binary64))))) (+.f64 #s(literal 729 binary64) (*.f64 (exp.f64 im) (+.f64 #s(literal 27 binary64) (exp.f64 im)))))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 729 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (+.f64 #s(literal 27 binary64) (exp.f64 im)))
(/.f64 (.f64 (-.f64 #s(literal 19683 binary64) (exp.f64 (.f64 im #s(literal 3 binary64)))) #s(literal -2 binary64)) (+.f64 #s(literal 729 binary64) (*.f64 (exp.f64 im) (+.f64 #s(literal 27 binary64) (exp.f64 im)))))
(/.f64 (*.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal -2 binary64)) (+.f64 #s(literal 27 binary64) (exp.f64 im)))
(pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (sin.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (sin.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (sin.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (sin.f64 re))) #s(literal 2 binary64))
(neg.f64 (*.f64 im (sin.f64 re)))
(sqrt.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (sin.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (sin.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (sin.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 im (sin.f64 re))))
(exp.f64 (log.f64 (*.f64 im (sin.f64 re))))
(exp.f64 (.f64 (log.f64 (.f64 im (sin.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal 1 binary64))
(*.f64 (sin.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 re))
(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 re)))
(*.f64 (sqrt.f64 (sin.f64 re)) (sqrt.f64 (sin.f64 re)))
(pow.f64 (sin.f64 re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 re)))
(cbrt.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (sin.f64 re)) #s(literal -1 binary64))
(-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))
(*.f64 (expm1.f64 (sin.f64 re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 re)))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 re))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 re))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 re))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (sin.f64 re))))
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 re))) (sqrt.f64 (expm1.f64 (sin.f64 re))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (exp.f64 (sin.f64 re)) (exp.f64 (sin.f64 re))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 re)) (exp.f64 (sin.f64 re))) #s(literal 1 binary64)) (+.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64)))
(pow.f64 (expm1.f64 (sin.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 (sin.f64 re)))))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 re)) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 re))))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 re))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 re))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 im (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))) (.f64 im (.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 im (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (.f64 (.f64 im (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64))) #s(literal -4 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)))
(pow.f64 (.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (.f64 im (.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 3 binary64)) #s(literal -1/27 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 2 binary64)) #s(literal -1/9 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 1/3 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 im #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 2 binary64)) #s(literal -1/9 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/16003008000 binary64)) #s(literal -1/216000 binary64))) (+.f64 (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64))))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/16003008000 binary64)) #s(literal -1/216000 binary64)) (pow.f64 im #s(literal 2 binary64))) (+.f64 (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))) #s(literal 1 binary64)))

simplify163.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

479×	`associate-r`
437×	`associate-l`
355×	`associate-+l+`
330×	`fma-define`
317×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	574	10148
1	1419	9973
2	4940	9582

Stop Event

1×	node limit

Counts

281 → 319

Calls

Call 1

Inputs
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) im)
(*.f64 #s(literal 4 binary64) im)
(*.f64 #s(literal 4 binary64) im)
(*.f64 #s(literal 4 binary64) im)
(*.f64 #s(literal 4 binary64) im)
(*.f64 #s(literal 4 binary64) im)
(*.f64 #s(literal 4 binary64) im)
(*.f64 #s(literal 4 binary64) im)
(*.f64 #s(literal 4 binary64) im)
(*.f64 #s(literal 4 binary64) im)
(*.f64 #s(literal 4 binary64) im)
(*.f64 #s(literal 4 binary64) im)
#s(literal -52 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 52 binary64))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
(-.f64 (.f64 im (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) im))))) #s(literal 52 binary64))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im re))
(.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal 1/6 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))
(.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) im)))))
(.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) im) (.f64 #s(literal 1/5040 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))
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(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))) #s(literal 1 binary64)))

Outputs
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) im)
(*.f64 im #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) im)
(*.f64 im #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) im)
(*.f64 im #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) im)
(*.f64 im #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) im)
(*.f64 im #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) im)
(*.f64 im #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) im)
(*.f64 im #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) im)
(*.f64 im #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) im)
(*.f64 im #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) im)
(*.f64 im #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) im)
(*.f64 im #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) im)
(*.f64 im #s(literal 4 binary64))
#s(literal -52 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 52 binary64))
(fma.f64 #s(literal 2 binary64) im #s(literal -52 binary64))
(fma.f64 im #s(literal 2 binary64) #s(literal -52 binary64))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
(fma.f64 im (+.f64 im #s(literal 2 binary64)) #s(literal -52 binary64))
(-.f64 (.f64 im (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) im))))) #s(literal 52 binary64))
(fma.f64 im (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/3 binary64))))) #s(literal -52 binary64))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -52 binary64))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 (neg.f64 im) re)
(*.f64 im (neg.f64 re))
(.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal 1/6 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))
(.f64 re (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
(.f64 re (fma.f64 #s(literal 1/6 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))) (neg.f64 im)))
(.f64 re (.f64 im (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/6 binary64)))))
(.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) im)))))
(.f64 re (fma.f64 #s(literal -1 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))) (.f64 im #s(literal 1/6 binary64))))))
(.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im #s(literal 1/6 binary64) (.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (neg.f64 im)))
(-.f64 (.f64 (.f64 im (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 re #s(literal 3 binary64))) (.f64 im re))
(.f64 re (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120 binary64) im) (.f64 #s(literal 1/5040 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
(.f64 re (fma.f64 #s(literal -1 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) im (.f64 (*.f64 im (pow.f64 re #s(literal 2 binary64))) #s(literal 1/5040 binary64))))))))
(.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im #s(literal -1/120 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/5040 binary64)))) (.f64 im #s(literal 1/6 binary64))) (neg.f64 im)))
(-.f64 (.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im (+.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/5040 binary64)))) (.f64 im #s(literal 1/6 binary64))) (pow.f64 re #s(literal 3 binary64))) (*.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
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(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(+.f64 re (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(+.f64 re (*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(+.f64 re (*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64))))
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/8 binary64))))))
(*.f64 re (fma.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/15 binary64) re) #s(literal 1/8 binary64)))))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/15 binary64) re #s(literal -1/8 binary64)))))))
(*.f64 re (fma.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 re #s(literal -1/15 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 re))
(-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 re))
(-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 re))
(-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 re))
(-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 re))
(-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 re))
(-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 re))
(-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 im (.f64 re (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(.f64 (.f64 re (*.f64 im #s(literal 1/2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
(.f64 re (fma.f64 #s(literal -1/12 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))))
(.f64 re (fma.f64 #s(literal 1/2 binary64) (.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))) (.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))) (*.f64 im #s(literal -1/12 binary64)))))
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(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal 1/60 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/16003008000 binary64)) #s(literal -1/216000 binary64)) (pow.f64 im #s(literal 2 binary64))) (+.f64 (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64))))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/16003008000 binary64) #s(literal -1/216000 binary64))) (+.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64) #s(literal 1/3600 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64))))
(/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/16003008000 binary64) #s(literal -1/216000 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64) #s(literal 1/3600 binary64))))
(/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/16003008000 binary64) #s(literal -1/216000 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64) #s(literal 1/3600 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal 1/60 binary64))))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))) #s(literal 3 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))) #s(literal 2 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))

eval85.0ms (0.8%)

Compiler: Compiled 11619 to 2344 computations (79.8% saved)

prune94.0ms (0.9%)

Pruning

23 alts after pruning (16 fresh and 7 done)

	Pruned	Kept	Total
New	567	6	573
Fresh	0	10	10
Picked	2	3	5
Done	1	4	5
Total	570	23	593

Accuracy

100.0%

Counts

593 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.5%	(-.f64 (.f64 im (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) im))))) #s(literal 52 binary64))
	6.7%	(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
	32.7%	(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))
	25.7%	(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))
	47.3%	(.f64 (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im))) (sin.f64 re))
	47.9%	(.f64 (.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))
	93.6%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
	34.4%	(*.f64 (neg.f64 im) (-.f64 (+.f64 (sin.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	48.1%	(*.f64 (neg.f64 im) (sin.f64 re))
	34.3%	(*.f64 (neg.f64 im) (log1p.f64 (log.f64 (exp.f64 (expm1.f64 (sin.f64 re))))))
✓	48.1%	(*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))
✓	48.0%	(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))
	42.3%	(*.f64 (neg.f64 im) (cbrt.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64))))
✓	35.5%	(*.f64 (neg.f64 im) re)
	62.0%	(.f64 (exp.f64 (log.f64 (sin.f64 re))) (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
	58.1%	(.f64 re (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
	18.0%	(*.f64 im re)
	4.4%	(*.f64 im #s(literal 4 binary64))
	5.8%	(*.f64 im #s(literal -16 binary64))
✓	44.1%	(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
✓	12.9%	(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
✓	2.2%	#s(literal 208 binary64)
	3.0%	#s(literal -52 binary64)

Compiler

Compiled 535 to 292 computations (45.4% saved)

regimes59.0ms (0.6%)

Counts

32 → 2

Calls

Call 1

Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
(*.f64 im #s(literal 4 binary64))
(*.f64 im re)
(*.f64 (neg.f64 im) re)
(.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) im))
(.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) im))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))
(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))
(-.f64 (.f64 im (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) im))))) #s(literal 52 binary64))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(.f64 re (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(*.f64 (neg.f64 im) (-.f64 (+.f64 (sin.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 8 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))
(*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))
(*.f64 (neg.f64 im) (cbrt.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64))))
(.f64 (.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im))) (sin.f64 re))
(.f64 (exp.f64 (log.f64 (sin.f64 re))) (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(*.f64 (neg.f64 im) (log1p.f64 (log.f64 (exp.f64 (expm1.f64 (sin.f64 re))))))

Outputs

(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))

Calls

6 calls:

11.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
10.0ms	im
9.0ms	(sin.f64 re)
9.0ms	re
9.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
93.6%	1	`re`
99.9%	2	`im`
98.8%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
93.6%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
93.6%	1	`(sin.f64 re)`
99.9%	2	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes17.0ms (0.2%)

Counts

26 → 3

Calls

Call 1

Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
(*.f64 im #s(literal 4 binary64))
(*.f64 im re)
(*.f64 (neg.f64 im) re)
(.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) im))
(.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) im))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))
(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))
(-.f64 (.f64 im (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) im))))) #s(literal 52 binary64))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(.f64 re (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(*.f64 (neg.f64 im) (-.f64 (+.f64 (sin.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 8 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))
(*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))
(*.f64 (neg.f64 im) (cbrt.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64))))
(.f64 (.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))

Outputs

(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))

(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))

(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))

Calls

2 calls:

10.0ms	im
6.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
98.7%	3	`im`
93.6%	1	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes19.0ms (0.2%)

Counts

17 → 2

Calls

Call 1

Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
(*.f64 im #s(literal 4 binary64))
(*.f64 im re)
(*.f64 (neg.f64 im) re)
(.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) im))
(.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) im))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))
(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))
(-.f64 (.f64 im (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) im))))) #s(literal 52 binary64))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(.f64 re (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(*.f64 (neg.f64 im) (-.f64 (+.f64 (sin.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64)))

Outputs
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))

Calls

3 calls:

6.0ms	re
6.0ms	im
6.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
67.1%	2	`re`
75.3%	4	`(sin.f64 re)`
88.2%	2	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Counts

14 → 3

Calls

Call 1

Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
(*.f64 im #s(literal 4 binary64))
(*.f64 im re)
(*.f64 (neg.f64 im) re)
(.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) im))
(.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) im))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))
(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))
(-.f64 (.f64 im (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) im))))) #s(literal 52 binary64))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))

Outputs

(*.f64 (neg.f64 im) (sin.f64 re))

(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))

(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))

Calls

1 calls:

5.0ms

im

Results

Accuracy	Segments	Branch
81.2%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

13 → 3

Calls

Call 1

Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
(*.f64 im #s(literal 4 binary64))
(*.f64 im re)
(*.f64 (neg.f64 im) re)
(.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) im))
(.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) im))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))
(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))
(-.f64 (.f64 im (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) im))))) #s(literal 52 binary64))
(*.f64 (neg.f64 im) (sin.f64 re))

Outputs
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im re)
(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))

Calls

1 calls:

5.0ms

im

Results

Accuracy	Segments	Branch
78.5%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
(*.f64 im #s(literal 4 binary64))
(*.f64 im re)
(*.f64 (neg.f64 im) re)
(.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) im))
(.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) im))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))
(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))
(-.f64 (.f64 im (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) im))))) #s(literal 52 binary64))

Outputs
(*.f64 (neg.f64 im) re)
(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))

Calls

2 calls:

4.0ms	im
4.0ms	re

Results

Accuracy	Segments	Branch
45.1%	5	`re`
57.3%	2	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
(*.f64 im #s(literal 4 binary64))
(*.f64 im re)
(*.f64 (neg.f64 im) re)
(.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) im))
(.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) im))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))

Outputs
(*.f64 (neg.f64 im) re)
(*.f64 im re)
(+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))

Calls

1 calls:

5.0ms

im

Results

Accuracy	Segments	Branch
52.4%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
(*.f64 im #s(literal 4 binary64))
(*.f64 im re)
(*.f64 (neg.f64 im) re)
(.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) im))
(.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) im))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))

Outputs
(*.f64 (neg.f64 im) re)
(*.f64 im re)

Calls

2 calls:

3.0ms	re
3.0ms	im

Results

Accuracy	Segments	Branch
37.0%	2	`re`
35.5%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
(*.f64 im #s(literal 4 binary64))
(*.f64 im re)

Outputs
(*.f64 im re)

Calls

2 calls:

4.0ms	re
2.0ms	im

Results

Accuracy	Segments	Branch
18.0%	1	`im`
18.0%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
(*.f64 im #s(literal 4 binary64))

Outputs
(*.f64 im #s(literal -16 binary64))

Calls

2 calls:

2.0ms	re
2.0ms	im

Results

Accuracy	Segments	Branch
5.8%	1	`im`
5.8%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -1.0b remaining (-1.6%)

Threshold costs -1b (-1.6%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)

Outputs
#s(literal -52 binary64)

Calls

2 calls:

2.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
3.0%	1	`im`
3.0%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-0.03742569720837208

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch45.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.8066051344841614e+41	2.430262699590795e+47
21.0ms	0.018711756661017414	1611.1007771167333

Results

31.0ms

288×

valid

Compiler

Compiled 702 to 500 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sin: 7.0ms (37.8% of total)

ival-exp: 4.0ms (21.6% of total)

ival-mult: 4.0ms (21.6% of total)

ival-sub: 2.0ms (10.8% of total)

ival-neg: 1.0ms (5.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.018711756661017414	1611.1007771167333

Results

18.0ms

144×

valid

Compiler

Compiled 171 to 140 computations (18.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-exp: 6.0ms (44.9% of total)

ival-sin: 3.0ms (22.5% of total)

ival-mult: 2.0ms (15% of total)

ival-sub: 1.0ms (7.5% of total)

ival-neg: 1.0ms (7.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	7.094478597498295e+103	5.460746901106344e+106
15.0ms	37341540403710.89	1100820996874744800.0

Results

28.0ms

256×

valid

Compiler

Compiled 354 to 294 computations (16.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sin: 6.0ms (39.4% of total)

ival-mult: 4.0ms (26.3% of total)

ival-exp: 3.0ms (19.7% of total)

ival-sub: 1.0ms (6.6% of total)

ival-neg: 1.0ms (6.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	7.094478597498295e+103	5.460746901106344e+106
11.0ms	1.0557443426816944e+60	5.8517653324918286e+60

Results

19.0ms

224×

valid

Compiler

Compiled 278 to 210 computations (24.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sin: 5.0ms (38.2% of total)

ival-mult: 3.0ms (22.9% of total)

ival-exp: 2.0ms (15.3% of total)

ival-sub: 1.0ms (7.6% of total)

ival-neg: 1.0ms (7.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch7.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.61013498977415e+83	2.081171935763058e+83

Results

4.0ms

48×

valid

Compiler

Compiled 87 to 68 computations (21.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 1.0ms (35.9% of total)

ival-sin: 1.0ms (35.9% of total)

ival-sub: 0.0ms (0% of total)

ival-exp: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

ival-neg: 0.0ms (0% of total)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	3.3578876170384817e+130	5.5362656446221346e+135
12.0ms	1.0557443426816944e+60	5.8517653324918286e+60

Results

28.0ms

240×

valid

Compiler

Compiled 258 to 194 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 10.0ms (47.2% of total)

ival-sin: 6.0ms (28.3% of total)

ival-exp: 2.0ms (9.4% of total)

ival-sub: 1.0ms (4.7% of total)

ival-neg: 1.0ms (4.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.3297424413610746e+257	6.283104858263538e+257

Results

12.0ms	34×	1	valid
5.0ms	46×	0	valid

Compiler

Compiled 83 to 59 computations (28.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-exp: 5.0ms (36.2% of total)

ival-sin: 3.0ms (21.7% of total)

backward-pass: 3.0ms (21.7% of total)

ival-mult: 1.0ms (7.2% of total)

ival-neg: 1.0ms (7.2% of total)

ival-sub: 1.0ms (7.2% of total)

const: 0.0ms (0% of total)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative`
21×	`+-commutative`
19×	`sub-neg`
11×	`neg-sub0`
11×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	824
1	138	824
2	171	824
3	194	824
4	206	824
5	208	824

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -inf.0 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
(if (<=.f64 im #s(literal 395 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (if (<=.f64 im #s(literal 335000000000000017667336330636865207319658496 binary64)) (.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 78 binary64)) (.f64 (neg.f64 im) (sin.f64 re)) (.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 38000000000000 binary64)) (.f64 (neg.f64 im) (sin.f64 re)) (if (<=.f64 im #s(literal 72000000000000003320797319195530658801995157302747201445921218154180702961656642545429783328002586705920 binary64)) (.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))))
(if (<=.f64 im #s(literal 3900000000000000302146520105674631951558304850275597018988544 binary64)) (.f64 (neg.f64 im) (sin.f64 re)) (if (<=.f64 im #s(literal 72000000000000003320797319195530658801995157302747201445921218154180702961656642545429783328002586705920 binary64)) (.f64 im re) (+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))))
(if (<=.f64 im #s(literal 164999999999999992277124766212713487315259420278286951493404477007761147206482001920 binary64)) (.f64 (neg.f64 im) re) (+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64)))))
(if (<=.f64 im #s(literal 1550000000000000028593636663411720323165097475782920841986048 binary64)) (.f64 (neg.f64 im) re) (if (<=.f64 im #s(literal 1250000000000000073330076587592514969432755357987163048511714193188727669006726951188096919745174198725503796982125937422100262952108032 binary64)) (.f64 im re) (+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))))
(if (<=.f64 re #s(literal 470000000000000007491985720186200702278676882972848913406332428238630682291235917661885569628866437355642405346516917181514548450809356906114793111818553758991741182071148002517081082144413332867459862810852963050577627427047494654381434348339829384104902656 binary64)) (.f64 (neg.f64 im) re) (.f64 im re))
(*.f64 im re)
(*.f64 im #s(literal -16 binary64))
#s(literal -52 binary64)

Outputs
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -inf.0 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -inf.0 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
(if (<=.f64 im #s(literal 395 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (if (<=.f64 im #s(literal 335000000000000017667336330636865207319658496 binary64)) (.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
(if (or (<=.f64 im #s(literal 395 binary64)) (not (<=.f64 im #s(literal 335000000000000017667336330636865207319658496 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 78 binary64)) (.f64 (neg.f64 im) (sin.f64 re)) (.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 78 binary64)) (.f64 im (neg.f64 (sin.f64 re))) (.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 38000000000000 binary64)) (.f64 (neg.f64 im) (sin.f64 re)) (if (<=.f64 im #s(literal 72000000000000003320797319195530658801995157302747201445921218154180702961656642545429783328002586705920 binary64)) (.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))))
(if (<=.f64 im #s(literal 38000000000000 binary64)) (.f64 (neg.f64 im) (sin.f64 re)) (if (<=.f64 im #s(literal 72000000000000003320797319195530658801995157302747201445921218154180702961656642545429783328002586705920 binary64)) (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) #s(literal -2 binary64)) (+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 im #s(literal -4/3 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64))))))
(if (<=.f64 im #s(literal 38000000000000 binary64)) (.f64 im (neg.f64 (sin.f64 re))) (if (<=.f64 im #s(literal 72000000000000003320797319195530658801995157302747201445921218154180702961656642545429783328002586705920 binary64)) (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) #s(literal -2 binary64)) (+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 im #s(literal -4/3 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64))))))
(if (<=.f64 im #s(literal 3900000000000000302146520105674631951558304850275597018988544 binary64)) (.f64 (neg.f64 im) (sin.f64 re)) (if (<=.f64 im #s(literal 72000000000000003320797319195530658801995157302747201445921218154180702961656642545429783328002586705920 binary64)) (.f64 im re) (+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))))
(if (<=.f64 im #s(literal 3900000000000000302146520105674631951558304850275597018988544 binary64)) (.f64 (neg.f64 im) (sin.f64 re)) (if (<=.f64 im #s(literal 72000000000000003320797319195530658801995157302747201445921218154180702961656642545429783328002586705920 binary64)) (.f64 im re) (+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 im #s(literal -4/3 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64))))))
(if (<=.f64 im #s(literal 3900000000000000302146520105674631951558304850275597018988544 binary64)) (.f64 im (neg.f64 (sin.f64 re))) (if (<=.f64 im #s(literal 72000000000000003320797319195530658801995157302747201445921218154180702961656642545429783328002586705920 binary64)) (.f64 im re) (+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 im #s(literal -4/3 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64))))))
(if (<=.f64 im #s(literal 164999999999999992277124766212713487315259420278286951493404477007761147206482001920 binary64)) (.f64 (neg.f64 im) re) (+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64)))))
(if (<=.f64 im #s(literal 164999999999999992277124766212713487315259420278286951493404477007761147206482001920 binary64)) (.f64 (neg.f64 im) re) (+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (.f64 im #s(literal -4/3 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64)))))
(if (<=.f64 im #s(literal 1550000000000000028593636663411720323165097475782920841986048 binary64)) (.f64 (neg.f64 im) re) (if (<=.f64 im #s(literal 1250000000000000073330076587592514969432755357987163048511714193188727669006726951188096919745174198725503796982125937422100262952108032 binary64)) (.f64 im re) (+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))))
(if (<=.f64 im #s(literal 1550000000000000028593636663411720323165097475782920841986048 binary64)) (.f64 (neg.f64 im) re) (if (<=.f64 im #s(literal 1250000000000000073330076587592514969432755357987163048511714193188727669006726951188096919745174198725503796982125937422100262952108032 binary64)) (.f64 im re) (+.f64 #s(literal 208 binary64) (.f64 im (-.f64 (.f64 im #s(literal -4 binary64)) #s(literal 8 binary64))))))
(if (<=.f64 re #s(literal 470000000000000007491985720186200702278676882972848913406332428238630682291235917661885569628866437355642405346516917181514548450809356906114793111818553758991741182071148002517081082144413332867459862810852963050577627427047494654381434348339829384104902656 binary64)) (.f64 (neg.f64 im) re) (.f64 im re))
(*.f64 im re)
(*.f64 im #s(literal -16 binary64))
#s(literal -52 binary64)

soundness954.0ms (9.3%)

Rules

865×	`prod-diff`
705×	`associate-r`
702×	`fma-define`
681×	`log1p-expm1-u`
617×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	892	20300
1	2212	18163
2	5894	17461
0	193	2488
1	514	2282
2	1450	2212
3	5025	2128
0	16	74
1	197	74
2	3040	74
0	32	297
1	467	281
2	6224	281
0	702	12112
1	1654	11838
2	5620	11468
0	38	291
1	548	283
2	6926	283

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit
1×	unsound
1×	node limit
1×	node limit

Compiler

Compiled 394 to 168 computations (57.4% saved)

preprocess101.0ms (1%)

Remove: (negabs re)
Compiler: Compiled 1144 to 558 computations (51.2% saved)

analyze0.0ms (0%)

sample3.4s (32.9%)

preprocess256.0ms (2.5%)

explain205.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify89.0ms (0.9%)

localize145.0ms (1.4%)

series15.0ms (0.1%)

rewrite143.0ms (1.4%)

simplify130.0ms (1.3%)

eval160.0ms (1.6%)

prune21.0ms (0.2%)

simplify163.0ms (1.6%)

localize426.0ms (4.2%)

series164.0ms (1.6%)

rewrite476.0ms (4.6%)

simplify901.0ms (8.8%)

eval365.0ms (3.6%)

prune126.0ms (1.2%)

simplify62.0ms (0.6%)

localize146.0ms (1.4%)

series77.0ms (0.8%)

rewrite215.0ms (2.1%)

simplify189.0ms (1.8%)

eval90.0ms (0.9%)

prune92.0ms (0.9%)

simplify81.0ms (0.8%)

localize143.0ms (1.4%)

series15.0ms (0.1%)

rewrite197.0ms (1.9%)

simplify163.0ms (1.6%)

eval85.0ms (0.8%)

prune94.0ms (0.9%)

regimes59.0ms (0.6%)

regimes17.0ms (0.2%)

regimes19.0ms (0.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch45.0ms (0.4%)

bsearch24.0ms (0.2%)

bsearch39.0ms (0.4%)

bsearch37.0ms (0.4%)

bsearch7.0ms (0.1%)

bsearch39.0ms (0.4%)

bsearch21.0ms (0.2%)

simplify19.0ms (0.2%)

soundness954.0ms (9.3%)

preprocess101.0ms (1%)

end0.0ms (0%)

Profiling