Metrics for expq2 (section 3.11)

analyze158.0ms (3.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	75.2%	24.8%	0%	0%	0%	0
0%	0%	75.2%	24.8%	0%	0%	0%	1
0%	0%	75.2%	24.8%	0%	0%	0%	2
25%	18.8%	56.4%	24.8%	0%	0%	0%	3
37.5%	28.2%	47%	24.8%	0%	0%	0%	4
37.5%	28.2%	47%	24.8%	0%	0%	0%	5
40.6%	30.5%	44.6%	24.8%	0%	0%	0%	6
42.2%	31.7%	43.5%	24.8%	0%	0%	0%	7
42.2%	31.7%	43.5%	24.8%	0%	0%	0%	8
43%	32.3%	42.9%	24.8%	0%	0%	0%	9
43%	32.3%	42.9%	24.8%	0%	0%	0%	10
43.1%	32.4%	42.8%	24.8%	0%	0%	0%	11
43.1%	32.4%	42.8%	24.8%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

Operation ival-sub, time spent: 16.0ms, 29.0% of total-time

Operation ival-exp, time spent: 16.0ms, 29.0% of total-time

Operation ival->, time spent: 12.0ms, 22.0% of total-time

Operation ival-div, time spent: 8.0ms, 15.0% of total-time

Operation const, time spent: 4.0ms, 7.0% of total-time

sample1.8s (36.6%)

Results

605.0ms	3861×	256	valid
773.0ms	2811×	1024	valid
255.0ms	1422×	512	valid
47.0ms	161×	2048	valid
0.0ms	1×	1024	valid

Precisions

Click to see histograms. Total time spent on operations: 979.0ms

Operation ival-exp, time spent: 648.0ms, 66.0% of total-time

Operation ival-sub, time spent: 120.0ms, 12.0% of total-time

Operation ival-div, time spent: 103.0ms, 11.0% of total-time

Operation ival->, time spent: 83.0ms, 8.0% of total-time

Operation const, time spent: 25.0ms, 3.0% of total-time

Bogosity

preprocess282.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

2412×	`fma-neg`
1494×	`div-sub`
1056×	`fma-define`
452×	`distribute-lft-neg-in`
436×	`associate-+r-`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
167	-	-	`(-.f64 (exp.f64 x) 1)`
0	-	-	`x`
0	-	-	`(exp.f64 x)`
0	-	-	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))`
0	-	-	`1`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	35	102
2	56	102
3	94	102
4	153	76
5	292	68
6	469	68
7	837	64
8	2147	64
9	3590	64
10	4606	64
11	5606	64
12	6702	64

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 1))
(neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 1)))

Outputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (neg.f64 x)))
(/.f64 1 (-.f64 1 (exp.f64 x)))
(/.f64 1 (neg.f64 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 1)))
(/.f64 (exp.f64 (neg.f64 x)) (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 (/.f64 -1 (exp.f64 x)) (expm1.f64 (neg.f64 x)))
(/.f64 -1 (*.f64 (exp.f64 x) (expm1.f64 (neg.f64 x))))
(/.f64 1 (expm1.f64 x))

Compiler

Compiled 42 to 23 computations (45.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

Operation ival-exp, time spent: 30.0ms, 54.0% of total-time

Operation ival-sub, time spent: 15.0ms, 27.0% of total-time

Operation ival-div, time spent: 8.0ms, 14.0% of total-time

Operation const, time spent: 3.0ms, 5.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize62.0ms (1.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	100.0%	(expm1.f64 (neg.f64 x))

Compiler

Compiled 14 to 7 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

Operation composed, time spent: 18.0ms, 40.0% of total-time

Operation ival-exp, time spent: 12.0ms, 27.0% of total-time

Operation ival-neg, time spent: 7.0ms, 16.0% of total-time

Operation ival-div, time spent: 3.0ms, 7.0% of total-time

Operation ival-sub, time spent: 3.0ms, 7.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 -1 (expm1.f64 (neg.f64 x)))
1.0ms	x	@	-inf	(/.f64 -1 (expm1.f64 (neg.f64 x)))
1.0ms	x	@	0	(expm1.f64 (neg.f64 x))
1.0ms	x	@	0	(/.f64 -1 (expm1.f64 (neg.f64 x)))
1.0ms	x	@	-inf	(expm1.f64 (neg.f64 x))

rewrite179.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

988×	`frac-times`
552×	`unpow-prod-down`
330×	`log-prod`
328×	`cbrt-prod`
302×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	91	16
2	1094	16

Stop Event

1×	node limit

Counts

2 → 158

Calls

Call 1

Inputs
(expm1.f64 (neg.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))

Outputs
(+.f64 (exp.f64 x) -1)
(+.f64 0 (expm1.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(-.f64 0 (expm1.f64 x))
(-.f64 (/.f64 (exp.f64 x) -1) -1)
(*.f64 (expm1.f64 x) -1)
(*.f64 (expm1.f64 x) 1)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(*.f64 (expm1.f64 x) (log.f64 (exp.f64 -1)))
(*.f64 -1 (expm1.f64 x))
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) -1) -1))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) -1))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) -1) -1))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (sqrt.f64 -1) (expm1.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 -1) 3) (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (expm1.f64 x))
(.f64 (pow.f64 (.f64 (pow.f64 (expm1.f64 x) 2) -1) 1/3) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (cbrt.f64 (expm1.f64 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (exp.f64 (log.f64 -1)) (expm1.f64 x))
(.f64 (cbrt.f64 (.f64 (pow.f64 (expm1.f64 x) 2) -1)) (cbrt.f64 (expm1.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(/.f64 (expm1.f64 x) -1)
(/.f64 (expm1.f64 x) 1)
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 -1) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (.f64 x 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (.f64 (exp.f64 x) 1))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 (exp.f64 x) 1))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 -1 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 -1) 3) (expm1.f64 x))
(/.f64 (exp.f64 (log.f64 -1)) (expm1.f64 x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) -1)) (cbrt.f64 (expm1.f64 x)))
(/.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -1)) (expm1.f64 x))
(/.f64 (*.f64 1 (sqrt.f64 -1)) (expm1.f64 x))
(/.f64 (*.f64 (sqrt.f64 -1) 1) (expm1.f64 x))
(pow.f64 (expm1.f64 x) -1)
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (cbrt.f64 (expm1.f64 x)) -3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 2) -1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) -1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (sqrt.f64 (expm1.f64 x)) -2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(neg.f64 (expm1.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(+.f64 (exp.f64 x) -1)
(+.f64 0 (expm1.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(-.f64 0 (expm1.f64 x))
(-.f64 (/.f64 (exp.f64 x) -1) -1)
(*.f64 (expm1.f64 x) -1)
(*.f64 (expm1.f64 x) 1)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(*.f64 (expm1.f64 x) (log.f64 (exp.f64 -1)))
(*.f64 -1 (expm1.f64 x))
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) -1) -1))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) -1))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) -1) -1))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (sqrt.f64 -1) (expm1.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 -1) 3) (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (expm1.f64 x))
(.f64 (pow.f64 (.f64 (pow.f64 (expm1.f64 x) 2) -1) 1/3) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (cbrt.f64 (expm1.f64 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (exp.f64 (log.f64 -1)) (expm1.f64 x))
(.f64 (cbrt.f64 (.f64 (pow.f64 (expm1.f64 x) 2) -1)) (cbrt.f64 (expm1.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(pow.f64 (expm1.f64 x) -1)
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (cbrt.f64 (expm1.f64 x)) -3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 2) -1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) -1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (sqrt.f64 (expm1.f64 x)) -2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(neg.f64 (expm1.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)

eval34.0ms (0.7%)

Compiler: Compiled 1551 to 868 computations (44% saved)

prune39.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	175	7	182
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	175	8	183

Accuracy

100.0%

Counts

183 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.2%	(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)
▶	66.2%	(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
▶	66.7%	(/.f64 1 x)
	37.7%	(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
▶	91.7%	(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (.f64 1/24 x) 1/6)))) 1)))
	88.2%	(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1)))
▶	82.1%	(/.f64 -1 (.f64 x (-.f64 (.f64 1/2 x) 1)))
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))

Compiler

Compiled 154 to 121 computations (21.4% saved)

localize270.0ms (5.5%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	99.9%	(.f64 x (+.f64 1/2 (.f64 1/12 x)))
✓	99.5%	(*.f64 1/12 x)
✓	85.1%	(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)
✓	100.0%	(.f64 x (-.f64 (.f64 1/2 x) 1))
✓	100.0%	(/.f64 -1 (.f64 x (-.f64 (.f64 1/2 x) 1)))
✓	100.0%	(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
✓	99.9%	(.f64 x (+.f64 1/2 (.f64 x (-.f64 (*.f64 1/24 x) 1/6))))
✓	99.6%	(.f64 x (-.f64 (.f64 1/24 x) 1/6))
✓	99.5%	(*.f64 1/24 x)
✓	99.4%	(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (.f64 1/24 x) 1/6)))) 1)))

Compiler

Compiled 178 to 133 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

Operation ival-mult, time spent: 77.0ms, 57.0% of total-time

Operation ival-add, time spent: 20.0ms, 15.0% of total-time

Operation ival-sub, time spent: 18.0ms, 13.0% of total-time

Operation ival-div, time spent: 11.0ms, 8.0% of total-time

Operation const, time spent: 9.0ms, 7.0% of total-time

series34.0ms (0.7%)

Counts

10 → 80

Calls

30 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	(*.f64 1/24 x)
2.0ms	x	@	-inf	(/.f64 -1 (.f64 x (-.f64 (.f64 1/2 x) 1)))
1.0ms	x	@	0	(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (.f64 1/24 x) 1/6)))) 1)))
1.0ms	x	@	inf	(*.f64 1/24 x)
1.0ms	x	@	-inf	(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)

rewrite231.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

451×	`log1p-expm1-u`
434×	`associate-r`
290×	`associate-l`
242×	`expm1-log1p-u`
239×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	268
1	529	244
2	7977	244

Stop Event

1×	node limit

Counts

10 → 244

Calls

Call 1

Inputs
(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (.f64 1/24 x) 1/6)))) 1)))
(*.f64 1/24 x)
(.f64 x (-.f64 (.f64 1/24 x) 1/6))
(.f64 x (+.f64 1/2 (.f64 x (-.f64 (*.f64 1/24 x) 1/6))))
(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
(/.f64 -1 (.f64 x (-.f64 (.f64 1/2 x) 1)))
(.f64 x (-.f64 (.f64 1/2 x) 1))
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)
(*.f64 1/12 x)
(.f64 x (+.f64 1/2 (.f64 1/12 x)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1)))) 1)
(.f64 -1 (/.f64 1 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))))
(*.f64 1 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1)))
(*.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1)) 1)
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))) 2) (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))) (sqrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))))
(.f64 (/.f64 1 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))) -1)
(*.f64 (/.f64 -1 x) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1)))
(.f64 (/.f64 (/.f64 -1 x) (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2)) 3) -1)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2)) 2) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) 1)))
(.f64 (/.f64 (/.f64 -1 x) (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2)) 2) -1)) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) 1))
(pow.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1)) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))) 2)
(pow.f64 (*.f64 x (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))) -1)
(pow.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1) -1)) -1)
(neg.f64 (/.f64 1 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))))
(sqrt.f64 (/.f64 1 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1)) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))))
(exp.f64 (log.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/24))) 1)
(pow.f64 (*.f64 x 1/24) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/24)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/13824) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/576))
(log.f64 (pow.f64 (exp.f64 1/24) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/24))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/13824))
(expm1.f64 (log1p.f64 (*.f64 x 1/24)))
(log1p.f64 (expm1.f64 (*.f64 x 1/24)))
(exp.f64 (log.f64 (*.f64 x 1/24)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/24)) 1))
(+.f64 (.f64 x (.f64 x 1/24)) (*.f64 x -1/6))
(+.f64 (.f64 (.f64 x 1/24) x) (*.f64 -1/6 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/24 -1/6)))) 1)
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 3) 1/13824) -1/216)) (+.f64 (.f64 (pow.f64 x 2) 1/576) (+.f64 1/36 (.f64 x 1/144))))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 2) 1/576) -1/36)) (fma.f64 x 1/24 1/6))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/13824) -1/216) x) (+.f64 (.f64 (pow.f64 x 2) 1/576) (+.f64 1/36 (.f64 x 1/144))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/576) -1/36) x) (fma.f64 x 1/24 1/6))
(pow.f64 (*.f64 x (fma.f64 x 1/24 -1/6)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/24 -1/6))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/24 -1/6)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/24 -1/6))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/24 -1/6)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/24 -1/6)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/24 -1/6)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/24 -1/6)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/24 -1/6))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/24 -1/6))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/24 -1/6))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/24 -1/6))) 1))
(+.f64 (.f64 x 1/2) (.f64 (fma.f64 x 1/24 -1/6) (pow.f64 x 2)))
(+.f64 (.f64 x 1/2) (.f64 (*.f64 (fma.f64 x 1/24 -1/6) (pow.f64 x 2)) 1))
(+.f64 (.f64 (fma.f64 x 1/24 -1/6) (pow.f64 x 2)) (.f64 x 1/2))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) 1) 1)
(/.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (.f64 (fma.f64 x 1/24 -1/6) (pow.f64 x 2)) 3)) (+.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 (.f64 (.f64 (fma.f64 x 1/24 -1/6) (pow.f64 x 2)) (.f64 (fma.f64 x 1/24 -1/6) (pow.f64 x 2))) (.f64 (.f64 x 1/2) (*.f64 (fma.f64 x 1/24 -1/6) (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (.f64 (fma.f64 x 1/24 -1/6) (pow.f64 x 2)) (.f64 (fma.f64 x 1/24 -1/6) (pow.f64 x 2)))) (-.f64 (.f64 x 1/2) (.f64 (fma.f64 x 1/24 -1/6) (pow.f64 x 2))))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/24 -1/6)) 3) 1/8)) (+.f64 1/4 (.f64 (.f64 x (fma.f64 x 1/24 -1/6)) (-.f64 (*.f64 x (fma.f64 x 1/24 -1/6)) 1/2))))
(/.f64 (.f64 x (-.f64 1/4 (pow.f64 (.f64 x (fma.f64 x 1/24 -1/6)) 2))) (-.f64 1/2 (*.f64 x (fma.f64 x 1/24 -1/6))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/24 -1/6)) 3) 1/8) x) (+.f64 1/4 (.f64 (.f64 x (fma.f64 x 1/24 -1/6)) (-.f64 (*.f64 x (fma.f64 x 1/24 -1/6)) 1/2))))
(/.f64 (.f64 (-.f64 1/4 (pow.f64 (.f64 x (fma.f64 x 1/24 -1/6)) 2)) x) (-.f64 1/2 (*.f64 x (fma.f64 x 1/24 -1/6))))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2))) 1))
(fma.f64 x 1/2 (*.f64 (fma.f64 x 1/24 -1/6) (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 (fma.f64 x 1/24 -1/6) (pow.f64 x 2)))
(fma.f64 1 (.f64 x 1/2) (.f64 (fma.f64 x 1/24 -1/6) (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 (fma.f64 x 1/24 -1/6) (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 (fma.f64 x 1/24 -1/6) (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 1/2 1) x))) 1)
(*.f64 1 (/.f64 (fma.f64 x 1/2 1) x))
(*.f64 (fma.f64 x 1/2 1) (/.f64 1 x))
(*.f64 (/.f64 (fma.f64 x 1/2 1) x) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) 2) (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (/.f64 (cbrt.f64 (fma.f64 x 1/2 1)) x))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (.f64 (cbrt.f64 (fma.f64 x 1/2 1)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) (sqrt.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (/.f64 (sqrt.f64 (fma.f64 x 1/2 1)) x))
(.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (/.f64 1 x)))
(*.f64 (neg.f64 (fma.f64 x 1/2 1)) (/.f64 -1 x))
(*.f64 (/.f64 1 x) (fma.f64 x 1/2 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x 1/2 1) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 x 1/2 1) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 1/2 1)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x 1/2 1)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 1/2 1)) 1) (/.f64 (sqrt.f64 (fma.f64 x 1/2 1)) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (cbrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 x 1/2 1) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x 1/2 1) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) 2)
(pow.f64 (/.f64 x (fma.f64 x 1/2 1)) -1)
(neg.f64 (/.f64 (fma.f64 x 1/2 1) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x 1/2 1)) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 1/2 1) x) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 1/2 1) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1/2 1) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 1/2 1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 1/2 1) x)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 -1 x) (fma.f64 x 1/2 -1)))) 1)
(.f64 -1 (/.f64 1 (.f64 x (fma.f64 x 1/2 -1))))
(*.f64 1 (/.f64 (/.f64 -1 x) (fma.f64 x 1/2 -1)))
(*.f64 (/.f64 (/.f64 -1 x) (fma.f64 x 1/2 -1)) 1)
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x 1/2 -1))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x 1/2 -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x 1/2 -1))) 2) (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x 1/2 -1))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x 1/2 -1))) (sqrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x 1/2 -1))))
(.f64 (/.f64 1 (.f64 x (fma.f64 x 1/2 -1))) -1)
(*.f64 (/.f64 -1 x) (/.f64 1 (fma.f64 x 1/2 -1)))
(.f64 (/.f64 (/.f64 -1 x) (+.f64 (.f64 1/8 (pow.f64 x 3)) -1)) (+.f64 (fma.f64 x 1/2 1) (*.f64 (pow.f64 x 2) 1/4)))
(.f64 (/.f64 (/.f64 -1 x) (+.f64 (.f64 (pow.f64 x 2) 1/4) -1)) (fma.f64 x 1/2 1))
(pow.f64 (/.f64 (/.f64 -1 x) (fma.f64 x 1/2 -1)) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x 1/2 -1))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 -1 x) (fma.f64 x 1/2 -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x 1/2 -1))) 2)
(pow.f64 (*.f64 x (neg.f64 (fma.f64 x 1/2 -1))) -1)
(pow.f64 (*.f64 x (/.f64 (fma.f64 x 1/2 -1) -1)) -1)
(neg.f64 (/.f64 1 (*.f64 x (fma.f64 x 1/2 -1))))
(sqrt.f64 (/.f64 1 (pow.f64 (*.f64 x (fma.f64 x 1/2 -1)) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 -1 x) (fma.f64 x 1/2 -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 -1 x) (fma.f64 x 1/2 -1)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) (fma.f64 x 1/2 -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 -1 x) (fma.f64 x 1/2 -1))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 -1 x) (fma.f64 x 1/2 -1))))
(exp.f64 (log.f64 (/.f64 (/.f64 -1 x) (fma.f64 x 1/2 -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 -1 x) (fma.f64 x 1/2 -1))) 1))
(+.f64 (.f64 x (.f64 x 1/2)) (*.f64 x -1))
(+.f64 (.f64 (.f64 x 1/2) x) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1)))) 1)
(/.f64 (.f64 x (+.f64 (.f64 1/8 (pow.f64 x 3)) -1)) (+.f64 (fma.f64 x 1/2 1) (*.f64 (pow.f64 x 2) 1/4)))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 2) 1/4) -1)) (fma.f64 x 1/2 1))
(/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) -1) x) (+.f64 (fma.f64 x 1/2 1) (*.f64 (pow.f64 x 2) 1/4)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) -1) x) (fma.f64 x 1/2 1))
(pow.f64 (*.f64 x (fma.f64 x 1/2 -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/2 -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/2 -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 -1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 -1)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/2 -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/2 -1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/2 -1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 -1))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/2 -1))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x))) 1)
(*.f64 1 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x))
(*.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) (/.f64 1 x))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)) 2) (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) 2) (/.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) x))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) 2) (.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)) (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) x))
(.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) (.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) (/.f64 1 x)))
(*.f64 (neg.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) (/.f64 -1 x))
(*.f64 (/.f64 1 x) (fma.f64 x (fma.f64 x 1/12 1/2) 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) 1) (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) (cbrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)) 2)
(pow.f64 (/.f64 x (fma.f64 x (fma.f64 x 1/12 1/2) 1)) -1)
(neg.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1)
(pow.f64 (*.f64 x 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 1/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(exp.f64 (log.f64 (*.f64 x 1/12)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/12)) 1))
(+.f64 (.f64 x 1/2) (.f64 1/12 (pow.f64 x 2)))
(+.f64 (.f64 x 1/2) (.f64 (*.f64 1/12 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/12 (pow.f64 x 2)) (.f64 x 1/2))
(-.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) 1)
(/.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (.f64 1/12 (pow.f64 x 2)) 3)) (+.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 (.f64 (.f64 1/12 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2))) (.f64 (.f64 x 1/2) (*.f64 1/12 (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (.f64 1/12 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2)))) (-.f64 (.f64 x 1/2) (.f64 1/12 (pow.f64 x 2))))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 3) 1/1728) 1/8)) (+.f64 1/4 (.f64 (.f64 x 1/12) (-.f64 (*.f64 x 1/12) 1/2))))
(/.f64 (.f64 x (-.f64 1/4 (.f64 (pow.f64 x 2) 1/144))) (-.f64 1/2 (*.f64 x 1/12)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) 1/8) x) (+.f64 1/4 (.f64 (.f64 x 1/12) (-.f64 (*.f64 x 1/12) 1/2))))
(/.f64 (.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/144)) x) (-.f64 1/2 (*.f64 x 1/12)))
(pow.f64 (*.f64 x (fma.f64 x 1/12 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/12 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/12 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/12 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/12 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/12 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/12 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/12 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/12 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/12 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/12 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/12 1/2))) 1))
(fma.f64 x 1/2 (*.f64 1/12 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/12 (pow.f64 x 2)))
(fma.f64 1 (.f64 x 1/2) (.f64 1/12 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 1/12 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 1/12 (pow.f64 x 2)))

eval136.0ms (2.8%)

Compiler: Compiled 4956 to 3872 computations (21.9% saved)

prune42.0ms (0.9%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	319	5	324
Fresh	0	2	2
Picked	0	5	5
Done	0	1	1
Total	319	13	332

Accuracy

100.0%

Counts

332 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.2%	(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)
✓	66.2%	(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
✓	66.7%	(/.f64 1 x)
	37.7%	(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
▶	91.7%	(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (+.f64 (.f64 (.f64 x 1/24) x) (*.f64 -1/6 x)))) 1)))
✓	91.7%	(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (.f64 1/24 x) 1/6)))) 1)))
▶	88.2%	(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1)))
✓	82.1%	(/.f64 -1 (.f64 x (-.f64 (.f64 1/2 x) 1)))
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶	66.2%	(+.f64 1/2 (/.f64 1 x))
▶	3.2%	(*.f64 1/12 x)
	31.9%	(.f64 -1 (.f64 x (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 1/12)))
▶	3.1%	1/2

Compiler

Compiled 198 to 157 computations (20.7% saved)

localize256.0ms (5.2%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))
✓	99.9%	(.f64 x (+.f64 1/2 (.f64 -1/6 x)))
✓	99.8%	(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1)))
✓	99.5%	(*.f64 -1/6 x)
✓	100.0%	(+.f64 1/2 (/.f64 1 x))
✓	99.5%	(*.f64 1/12 x)
✓	99.8%	(.f64 (.f64 x 1/24) x)
✓	99.5%	(*.f64 x 1/24)
✓	99.5%	(*.f64 -1/6 x)
✓	99.4%	(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (+.f64 (.f64 (.f64 x 1/24) x) (*.f64 -1/6 x)))) 1)))

Compiler

Compiled 173 to 126 computations (27.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

Operation ival-mult, time spent: 70.0ms, 57.0% of total-time

Operation ival-add, time spent: 26.0ms, 21.0% of total-time

Operation ival-sub, time spent: 11.0ms, 9.0% of total-time

Operation ival-div, time spent: 8.0ms, 7.0% of total-time

Operation const, time spent: 7.0ms, 6.0% of total-time

series20.0ms (0.4%)

Counts

10 → 73

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (+.f64 (.f64 (.f64 x 1/24) x) (*.f64 -1/6 x)))) 1)))
1.0ms	x	@	inf	(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1)))
1.0ms	x	@	-inf	(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1)))
1.0ms	x	@	inf	(.f64 x (+.f64 1/2 (.f64 -1/6 x)))
1.0ms	x	@	-inf	(.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))

rewrite210.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

714×	`log1p-expm1-u`
408×	`associate-r`
274×	`associate-l`
221×	`expm1-log1p-u`
218×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	235
1	474	212
2	7245	212

Stop Event

1×	node limit

Counts

10 → 194

Calls

Call 1

Inputs
(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (+.f64 (.f64 (.f64 x 1/24) x) (*.f64 -1/6 x)))) 1)))
(*.f64 -1/6 x)
(*.f64 x 1/24)
(.f64 (.f64 x 1/24) x)
(*.f64 1/12 x)
(+.f64 1/2 (/.f64 1 x))
(*.f64 -1/6 x)
(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1)))
(.f64 x (+.f64 1/2 (.f64 -1/6 x)))
(.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1)))) 1)
(*.f64 -1 (/.f64 (/.f64 1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1)))
(*.f64 1 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1)))
(*.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1)) 1)
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))) 2) (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))) (sqrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))))
(*.f64 (/.f64 (/.f64 1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1)) -1)
(*.f64 (/.f64 -1 x) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1)))
(.f64 (/.f64 (/.f64 -1 x) (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2)) 3) -1)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2)) 2) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) 1)))
(.f64 (/.f64 (/.f64 -1 x) (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2)) 2) -1)) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) 1))
(pow.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1)) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))) 2)
(pow.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1) (neg.f64 x)) -1)
(pow.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1) (/.f64 x -1)) -1)
(neg.f64 (/.f64 (/.f64 1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))))
(exp.f64 (log.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x (fma.f64 x 1/24 -1/6) 1/2) -1))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/6))) 1)
(pow.f64 (*.f64 x -1/6) 1)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)
(pow.f64 (*.f64 (pow.f64 x 3) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/6))))
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 x -1/6)))
(log1p.f64 (expm1.f64 (*.f64 x -1/6)))
(exp.f64 (log.f64 (*.f64 x -1/6)))
(exp.f64 (.f64 (log.f64 (.f64 x -1/6)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/24))) 1)
(pow.f64 (*.f64 x 1/24) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/24)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/24) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/576))
(log.f64 (pow.f64 (exp.f64 1/24) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/24))))
(cbrt.f64 (pow.f64 (*.f64 x 1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/24)))
(log1p.f64 (expm1.f64 (*.f64 x 1/24)))
(exp.f64 (log.f64 (*.f64 x 1/24)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/24)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/24 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 1/24 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/24 (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 1/24 (pow.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/24 (pow.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/24 (pow.f64 x 2)) 2))
(log.f64 (exp.f64 (*.f64 1/24 (pow.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/24 (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 1/24 (pow.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/24 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 1/24 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 1/24 (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 1/24 (pow.f64 x 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1)
(pow.f64 (*.f64 x 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 1/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))))
(cbrt.f64 (pow.f64 (*.f64 x 1/12) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(exp.f64 (log.f64 (*.f64 x 1/12)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/12)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (/.f64 1 x)))) 1)
(-.f64 (/.f64 1/4 (+.f64 1/2 (/.f64 -1 x))) (/.f64 (pow.f64 x -2) (+.f64 1/2 (/.f64 -1 x))))
(*.f64 1 (+.f64 1/2 (/.f64 1 x)))
(*.f64 (+.f64 1/2 (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x -3) 1/8) (/.f64 1 (-.f64 (+.f64 1/4 (pow.f64 x -2)) (/.f64 1/2 x))))
(*.f64 (-.f64 1/4 (pow.f64 x -2)) (/.f64 1 (+.f64 1/2 (/.f64 -1 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1/4 (pow.f64 x -2)) (/.f64 1/2 x)) (+.f64 (pow.f64 x -3) 1/8)))
(/.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1 x)) (-.f64 1/4 (pow.f64 x -2))))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (-.f64 (+.f64 1/4 (pow.f64 x -2)) (/.f64 1/2 x)))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))))
(/.f64 (-.f64 1/4 (pow.f64 x -2)) (+.f64 1/2 (/.f64 -1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) 1/8)) (neg.f64 (-.f64 (+.f64 1/4 (pow.f64 x -2)) (/.f64 1/2 x))))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 x -2))) (neg.f64 (+.f64 1/2 (/.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 x -2) 1/4) (-.f64 (/.f64 1 x) 1/2))
(pow.f64 (+.f64 1/2 (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1/2 (/.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 1/2 (/.f64 1 x))))
(exp.f64 (log.f64 (+.f64 1/2 (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 1 x))) 1))
(fma.f64 1 (/.f64 1 x) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) 1/2)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/6))) 1)
(pow.f64 (*.f64 x -1/6) 1)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)
(pow.f64 (*.f64 (pow.f64 x 3) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/6))))
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 x -1/6)))
(log1p.f64 (expm1.f64 (*.f64 x -1/6)))
(exp.f64 (log.f64 (*.f64 x -1/6)))
(exp.f64 (.f64 (log.f64 (.f64 x -1/6)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1)))) 1)
(*.f64 -1 (/.f64 (/.f64 1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1)))
(*.f64 1 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1)))
(*.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1)) 1)
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1))) 2) (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1))) (sqrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1))))
(*.f64 (/.f64 (/.f64 1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1)) -1)
(*.f64 (/.f64 -1 x) (/.f64 1 (fma.f64 x (fma.f64 x -1/6 1/2) -1)))
(.f64 (/.f64 (/.f64 -1 x) (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/6 1/2)) 3) -1)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 1/2)) 2) (fma.f64 x (fma.f64 x -1/6 1/2) 1)))
(.f64 (/.f64 (/.f64 -1 x) (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/6 1/2)) 2) -1)) (fma.f64 x (fma.f64 x -1/6 1/2) 1))
(pow.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1)) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1))) 2)
(pow.f64 (*.f64 x (neg.f64 (fma.f64 x (fma.f64 x -1/6 1/2) -1))) -1)
(pow.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x -1/6 1/2) -1) -1)) -1)
(neg.f64 (/.f64 (/.f64 1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1))))
(exp.f64 (log.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1))) 1))
(+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 x 1/2))
(+.f64 (.f64 x 1/2) (.f64 -1/6 (pow.f64 x 2)))
(+.f64 (.f64 (.f64 x 1/2) 1) (.f64 (.f64 -1/6 (pow.f64 x 2)) 1))
(-.f64 (fma.f64 x (fma.f64 x -1/6 1/2) 1) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 -1/6 (pow.f64 x 2)) 3)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 2))) (.f64 (.f64 x 1/2) (*.f64 -1/6 (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 2)))) (-.f64 (.f64 x 1/2) (.f64 -1/6 (pow.f64 x 2))))
(/.f64 (.f64 x (+.f64 1/8 (.f64 (pow.f64 x 3) -1/216))) (+.f64 1/4 (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 -1/12 x))))
(/.f64 (.f64 x (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36))) (+.f64 1/2 (*.f64 1/6 x)))
(/.f64 (.f64 (+.f64 1/8 (.f64 (pow.f64 x 3) -1/216)) x) (+.f64 1/4 (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 -1/12 x))))
(/.f64 (.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36)) x) (+.f64 1/2 (*.f64 1/6 x)))
(pow.f64 (*.f64 x (fma.f64 x -1/6 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/6 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/6 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/6 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/6 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/6 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/6 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -1/6 1/2))) 1))
(fma.f64 x 1/2 (*.f64 -1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 (.f64 x (.f64 x (fma.f64 x -1/6 1/2))) (*.f64 x -1))
(+.f64 (.f64 (.f64 x (fma.f64 x -1/6 1/2)) x) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1)))) 1)
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/6 1/2)) 3) -1)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 1/2)) 2) (fma.f64 x (fma.f64 x -1/6 1/2) 1)))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/6 1/2)) 2) -1)) (fma.f64 x (fma.f64 x -1/6 1/2) 1))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/6 1/2)) 3) -1) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 1/2)) 2) (fma.f64 x (fma.f64 x -1/6 1/2) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/6 1/2)) 2) -1) x) (fma.f64 x (fma.f64 x -1/6 1/2) 1))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (fma.f64 x -1/6 1/2) -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x -1/6 1/2) -1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1))) 1))

eval108.0ms (2.2%)

Compiler: Compiled 4754 to 3757 computations (21% saved)

prune32.0ms (0.7%)

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	293	0	293
Fresh	0	2	2
Picked	0	5	5
Done	0	6	6
Total	293	13	306

Accuracy

100.0%

Counts

306 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.2%	(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)
✓	66.2%	(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
✓	66.7%	(/.f64 1 x)
▶	37.7%	(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
✓	91.7%	(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (+.f64 (.f64 (.f64 x 1/24) x) (*.f64 -1/6 x)))) 1)))
✓	91.7%	(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (.f64 1/24 x) 1/6)))) 1)))
✓	88.2%	(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1)))
✓	82.1%	(/.f64 -1 (.f64 x (-.f64 (.f64 1/2 x) 1)))
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	66.2%	(+.f64 1/2 (/.f64 1 x))
✓	3.2%	(*.f64 1/12 x)
▶	31.9%	(.f64 -1 (.f64 x (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 1/12)))
✓	3.1%	1/2

Compiler

Compiled 128 to 101 computations (21.1% saved)

localize285.0ms (5.8%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
✓	39.3%	(-.f64 (exp.f64 (neg.f64 x)) 1)
✓	100.0%	(+.f64 1/2 (/.f64 1 x))
✓	99.8%	(/.f64 (+.f64 1/2 (/.f64 1 x)) x)
✓	65.4%	(.f64 x (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 1/12))

Compiler

Compiled 90 to 65 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

Operation ival-div, time spent: 59.0ms, 37.0% of total-time

Operation ival-mult, time spent: 32.0ms, 20.0% of total-time

Operation ival-sub, time spent: 20.0ms, 13.0% of total-time

Operation ival-add, time spent: 17.0ms, 11.0% of total-time

Operation ival-exp, time spent: 12.0ms, 8.0% of total-time

Operation ival-neg, time spent: 10.0ms, 6.0% of total-time

Operation const, time spent: 8.0ms, 5.0% of total-time

series19.0ms (0.4%)

Counts

5 → 38

Calls

15 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(-.f64 (exp.f64 (neg.f64 x)) 1)
3.0ms	x	@	-inf	(.f64 x (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 1/12))
1.0ms	x	@	0	(.f64 x (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 1/12))
1.0ms	x	@	inf	(.f64 x (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 1/12))
1.0ms	x	@	-inf	(/.f64 (+.f64 1/2 (/.f64 1 x)) x)

rewrite141.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`log1p-expm1-u`
802×	`expm1-log1p-u`
638×	`fma-define`
452×	`fma-neg`
424×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	113
1	291	103
2	4131	103

Stop Event

1×	node limit

Counts

5 → 175

Calls

Call 1

Inputs
(.f64 x (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 1/12))
(/.f64 (+.f64 1/2 (/.f64 1 x)) x)
(+.f64 1/2 (/.f64 1 x))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))

Outputs
(+.f64 (.f64 x (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)) (.f64 x -1/12))
(+.f64 (.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) x) (.f64 -1/12 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) -1/12)))) 1)
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) 3) -1/1728)) (+.f64 (pow.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) 2) (fma.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) 1/12 1/144)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) 2) -1/144)) (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) 1/12))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) 3) -1/1728) x) (+.f64 (pow.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) 2) (fma.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) 1/12 1/144)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) 2) -1/144) x) (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) 1/12))
(pow.f64 (*.f64 x (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) -1/12)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) -1/12))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) -1/12)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) -1/12))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) -1/12)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) -1/12)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) -1/12)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) -1/12)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) -1/12) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) -1/12) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) -1/12))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) -1/12))))
(exp.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) -1/12))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) -1/12))) 1))
(fma.f64 x (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) (*.f64 x -1/12))
(fma.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) x (*.f64 -1/12 x))
(-.f64 0 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x))) 1)
(*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x))
(*.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x))
(*.f64 (/.f64 -1 x) (+.f64 1/2 (/.f64 -1 x)))
(*.f64 (+.f64 1/2 (/.f64 -1 x)) (/.f64 -1 x))
(.f64 (+.f64 1/2 (/.f64 -1 x)) (.f64 (/.f64 -1 x) -1))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) -1)
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1 x))) 2) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1 x))) x))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1 x))) 2) (.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1 x))) (/.f64 -1 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1/2 (/.f64 -1 x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)) (sqrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x))))
(.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)) (.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)) -1))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1 x))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1 x))) x))
(.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1 x))) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1 x))) (/.f64 -1 x)))
(*.f64 (+.f64 (/.f64 -1 x) -1/2) (/.f64 -1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1/2 (/.f64 -1 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1 x))) 1) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1 x))) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1 x))) (cbrt.f64 x)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1/2 (/.f64 -1 x)) (cbrt.f64 x)))
(*.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (+.f64 1/2 (/.f64 -1 x)) (sqrt.f64 x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)) 2)) (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x))) (sqrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)))
(.f64 (.f64 (+.f64 1/2 (/.f64 -1 x)) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(.f64 (.f64 (+.f64 1/2 (/.f64 -1 x)) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)) 2)) (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)))
(.f64 (.f64 -1 (sqrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x))) (sqrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)))
(pow.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)) 2)
(pow.f64 (/.f64 x (+.f64 1/2 (/.f64 -1 x))) -1)
(neg.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1 x)) 3) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 -1 x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/2 (/.f64 -1 x)) x)) 1))
(-.f64 1/2 (/.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (/.f64 -1 x)))) 1)
(-.f64 (/.f64 1/4 (+.f64 1/2 (/.f64 -1 x))) (/.f64 (pow.f64 x -2) (+.f64 1/2 (/.f64 -1 x))))
(*.f64 1 (+.f64 1/2 (/.f64 -1 x)))
(*.f64 (+.f64 1/2 (/.f64 -1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 -1 x))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 -1 x))))
(*.f64 (+.f64 (pow.f64 x -3) 1/8) (/.f64 1 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x)))))
(*.f64 (+.f64 1/4 (pow.f64 x -2)) (/.f64 1 (+.f64 1/2 (/.f64 -1 x))))
(/.f64 1 (/.f64 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x))) (+.f64 (pow.f64 x -3) 1/8)))
(/.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1 x)) (+.f64 1/4 (pow.f64 x -2))))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x))))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))))
(/.f64 (+.f64 1/4 (pow.f64 x -2)) (+.f64 1/2 (/.f64 -1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) 1/8)) (neg.f64 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x)))))
(/.f64 (neg.f64 (+.f64 1/4 (pow.f64 x -2))) (+.f64 (/.f64 -1 x) -1/2))
(/.f64 (-.f64 1/8 (pow.f64 x -3)) (+.f64 1/4 (+.f64 (pow.f64 x -2) (/.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 x -2) 1/4) (+.f64 (/.f64 -1 x) -1/2))
(pow.f64 (+.f64 1/2 (/.f64 -1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1 x)) 2))
(log.f64 (exp.f64 (+.f64 1/2 (/.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 -1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1/2 (/.f64 -1 x))))
(log1p.f64 (expm1.f64 (+.f64 1/2 (/.f64 -1 x))))
(exp.f64 (log.f64 (+.f64 1/2 (/.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 -1 x))) 1))
(fma.f64 -1 (/.f64 -1 x) 1/2)
(fma.f64 1 (/.f64 -1 x) 1/2)
(fma.f64 (/.f64 -1 x) 1 1/2)
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) 1/2)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) 1/2)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) 1/2)
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) 1/2)
(+.f64 -1 (exp.f64 x))
(+.f64 (exp.f64 x) -1)
(*.f64 1 (expm1.f64 x))
(*.f64 (expm1.f64 x) 1)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 1 (exp.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 1 (exp.f64 x))))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (exp.f64 x) 1 -1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) 1) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) 1) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x)))) 1)
(*.f64 -1 (/.f64 1 (expm1.f64 x)))
(*.f64 1 (/.f64 -1 (expm1.f64 x)))
(*.f64 (/.f64 -1 (expm1.f64 x)) 1)
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 2) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 x))) (sqrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) -1)
(*.f64 (/.f64 -1 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 -1 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (+.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 x))) 2)
(pow.f64 (neg.f64 (expm1.f64 x)) -1)
(pow.f64 (*.f64 (expm1.f64 x) -1) -1)
(neg.f64 (/.f64 1 (expm1.f64 x)))
(sqrt.f64 (/.f64 1 (pow.f64 (expm1.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 x))))
(exp.f64 (log.f64 (/.f64 -1 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1))

eval75.0ms (1.5%)

Compiler: Compiled 3359 to 2637 computations (21.5% saved)

prune35.0ms (0.7%)

Pruning

14 alts after pruning (1 fresh and 13 done)

	Pruned	Kept	Total
New	212	1	213
Fresh	0	0	0
Picked	0	2	2
Done	0	11	11
Total	212	14	226

Accuracy

100.0%

Counts

226 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.2%	(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)
✓	66.2%	(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
✓	66.7%	(/.f64 1 x)
✓	37.7%	(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
✓	91.7%	(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (+.f64 (.f64 (.f64 x 1/24) x) (*.f64 -1/6 x)))) 1)))
✓	91.7%	(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (.f64 1/24 x) 1/6)))) 1)))
✓	88.2%	(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1)))
✓	82.1%	(/.f64 -1 (.f64 x (-.f64 (.f64 1/2 x) 1)))
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	66.2%	(+.f64 1/2 (/.f64 1 x))
✓	3.2%	(*.f64 1/12 x)
	31.9%	(.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (/.f64 (+.f64 1 (.f64 1/2 x)) x) x)) 1/12)))
✓	31.9%	(.f64 -1 (.f64 x (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 1/12)))
✓	3.1%	1/2

Compiler

Compiled 286 to 220 computations (23.1% saved)

regimes16.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

Inputs
1/2
(*.f64 1/12 x)
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
(/.f64 -1 (.f64 x (-.f64 (.f64 1/2 x) 1)))
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)
(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 1/12)))
(.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (/.f64 (+.f64 1 (.f64 1/2 x)) x) x)) 1/12)))
(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (.f64 1/24 x) 1/6)))) 1)))
(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (+.f64 (.f64 (.f64 x 1/24) x) (*.f64 -1/6 x)))) 1)))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

Outputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))

Calls

3 calls:

8.0ms	x
4.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))`
100.0%	1	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes8.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

Inputs
1/2
(*.f64 1/12 x)
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
(/.f64 -1 (.f64 x (-.f64 (.f64 1/2 x) 1)))
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)
(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 1/12)))
(.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (/.f64 (+.f64 1 (.f64 1/2 x)) x) x)) 1/12)))
(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (.f64 1/24 x) 1/6)))) 1)))
(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (+.f64 (.f64 (.f64 x 1/24) x) (*.f64 -1/6 x)))) 1)))

Outputs
(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (.f64 1/24 x) 1/6)))) 1)))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
91.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
1/2
(*.f64 1/12 x)
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
(/.f64 -1 (.f64 x (-.f64 (.f64 1/2 x) 1)))
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)
(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 1/12)))
(.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (/.f64 (+.f64 1 (.f64 1/2 x)) x) x)) 1/12)))

Outputs
(/.f64 -1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1)))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
88.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
1/2
(*.f64 1/12 x)
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
(/.f64 -1 (.f64 x (-.f64 (.f64 1/2 x) 1)))
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)

Outputs
(/.f64 -1 (.f64 x (-.f64 (.f64 1/2 x) 1)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
82.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
1/2
(*.f64 1/12 x)
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(/.f64 (+.f64 1 (*.f64 1/2 x)) x)

Outputs
(/.f64 1 x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
66.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
1/2
(*.f64 1/12 x)

Outputs
(*.f64 1/12 x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
3.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Stop Event

1×

fuel

Counts

1 → 1

Calls

Call 1

Inputs
1/2

Outputs
1/2

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
3.1%	1	`x`

Compiler

Compiled 60 to 47 computations (21.7% saved)

soundness311.0ms (6.4%)

Rules

2412×	`fma-neg`
1494×	`div-sub`
1056×	`fma-define`
452×	`distribute-lft-neg-in`
436×	`associate-+r-`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	35	102
2	56	102
3	94	102
4	153	76
5	292	68
6	469	68
7	837	64
8	2147	64
9	3590	64
10	4606	64
11	5606	64
12	6702	64

Stop Event

1×	node limit

Compiler

Compiled 205 to 95 computations (53.7% saved)

end0.0ms (0%)

preprocess79.0ms (1.6%)

Compiler: Compiled 134 to 102 computations (23.9% saved)

analyze158.0ms (3.2%)

sample1.8s (36.6%)

preprocess282.0ms (5.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize62.0ms (1.3%)

series5.0ms (0.1%)

rewrite179.0ms (3.7%)

eval34.0ms (0.7%)

prune39.0ms (0.8%)

localize270.0ms (5.5%)

series34.0ms (0.7%)

rewrite231.0ms (4.7%)

eval136.0ms (2.8%)

prune42.0ms (0.9%)

localize256.0ms (5.2%)

series20.0ms (0.4%)

rewrite210.0ms (4.3%)

eval108.0ms (2.2%)

prune32.0ms (0.7%)

localize285.0ms (5.8%)

series19.0ms (0.4%)

rewrite141.0ms (2.9%)

eval75.0ms (1.5%)

prune35.0ms (0.7%)

regimes16.0ms (0.3%)

regimes8.0ms (0.2%)

regimes8.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

soundness311.0ms (6.4%)

end0.0ms (0%)

preprocess79.0ms (1.6%)

Profiling