Metrics for qlog (example 3.10)

analyze473.0ms (6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
0%	0%	50%	50%	0%	0%	0%	3
0%	0%	50%	50%	0%	0%	0%	4
0%	0%	50%	50%	0%	0%	0%	5
6.3%	3.1%	46.8%	50%	0%	0%	0%	6
9.4%	4.7%	45.3%	50%	0%	0%	0%	7
12.5%	6.2%	43.7%	50%	0%	0%	0%	8
13.3%	6.6%	43.3%	50%	0%	0%	0%	9
13.9%	6.9%	43%	50%	0%	0%	0%	10
14.2%	7.1%	42.9%	50%	0%	0%	0%	11
14.3%	7.1%	42.8%	50%	0%	0%	0%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 282.0ms

Operation ival-log, time spent: 156.0ms, 55.0% of total-time

Operation ival-fabs, time spent: 29.0ms, 10.0% of total-time

Operation ival-sub, time spent: 27.0ms, 10.0% of total-time

Operation ival-add, time spent: 27.0ms, 10.0% of total-time

Operation ival-<=, time spent: 19.0ms, 7.0% of total-time

Operation ival-div, time spent: 17.0ms, 6.0% of total-time

Operation const, time spent: 7.0ms, 2.0% of total-time

sample5.0s (63.2%)

Results

3.2s	4083×	1024	valid
859.0ms	2125×	512	valid
304.0ms	1794×	256	valid
250.0ms	253×	2048	valid
0.0ms	1×	512	valid

Precisions

Click to see histograms. Total time spent on operations: 3.8s

Operation ival-log, time spent: 3.1s, 81.0% of total-time

Operation ival-sub, time spent: 159.0ms, 4.0% of total-time

Operation ival-fabs, time spent: 145.0ms, 4.0% of total-time

Operation ival-div, time spent: 143.0ms, 4.0% of total-time

Operation ival-add, time spent: 135.0ms, 4.0% of total-time

Operation ival-<=, time spent: 117.0ms, 3.0% of total-time

Operation const, time spent: 41.0ms, 1.0% of total-time

Bogosity

preprocess776.0ms (9.8%)

Algorithm

1×	egg-herbie

Rules

62×	`fma-neg`
58×	`fma-define`
48×	`sub-neg`
22×	`+-commutative`
20×	`distribute-lft-neg-in`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
255	-	-	`(log.f64 (+.f64 1 x))`
255	-	-	`(log.f64 (-.f64 1 x))`
0	-	-	`x`
0	-	-	`(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))`
0	-	-	`(+.f64 1 x)`
0	-	-	`(-.f64 1 x)`
0	-	-	`1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	124
1	40	104
2	61	104
3	102	104
4	151	104
5	203	104
6	235	104
7	254	104
8	274	104
9	276	104

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x))))
(neg.f64 (/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x)))))

Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x))))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log1p.f64 (neg.f64 x)))
(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(neg.f64 (/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x)))))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (neg.f64 (log1p.f64 (neg.f64 x))))
(/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))

Results

394.0ms	239×	1024	valid
204.0ms	158×	512	valid
26.0ms	106×	256	valid
19.0ms	8×	2048	valid
1.0ms	1×	1024	valid

Compiler

Compiled 64 to 48 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 552.0ms

Operation ival-log, time spent: 405.0ms, 73.0% of total-time

Operation ival-add, time spent: 102.0ms, 18.0% of total-time

Operation ival-sub, time spent: 26.0ms, 5.0% of total-time

Operation ival-div, time spent: 12.0ms, 2.0% of total-time

Operation const, time spent: 7.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize195.0ms (2.5%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Results

99.0ms	116×	1024	valid
63.0ms	80×	512	valid
9.0ms	58×	256	valid
1.0ms	1×	1024	valid
4.0ms	1×	2048	valid

Compiler

Compiled 16 to 6 computations (62.5% saved)

Precisions

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

Operation composed, time spent: 126.0ms, 49.0% of total-time

Operation ival-log, time spent: 113.0ms, 44.0% of total-time

Operation ival-add, time spent: 8.0ms, 3.0% of total-time

Operation ival-div, time spent: 4.0ms, 2.0% of total-time

Operation ival-neg, time spent: 4.0ms, 2.0% of total-time

Operation const, time spent: 1.0ms, 0.0% of total-time

series7.0ms (0.1%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))>

Outputs
#<alt -1>
#<alt (-.f64 (*.f64 -1 x) 1)>
#<alt (-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)>
#<alt (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1)) 1)>
#<alt (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (/.f64 2 (.f64 x (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (/.f64 2 (.f64 x (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))) (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (pow.f64 (log.f64 (/.f64 1 x)) 2))))) (.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 (pow.f64 x 3) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2)))))))))>
#<alt (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))>
#<alt (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))>
#<alt (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (.f64 x (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (.f64 x (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2)))) (+.f64 (/.f64 1/2 (.f64 x (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))>
#<alt (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 3)))))))) x)) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2)))))) x)) (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))>

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/ (log (+ 1 (neg x))) (log (+ 1 x)))
3.0ms	x	@	inf	(/ (log (+ 1 (neg x))) (log (+ 1 x)))
1.0ms	x	@	0	(/ (log (+ 1 (neg x))) (log (+ 1 x)))

rewrite219.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

684×	`unpow-prod-down`
350×	`log-prod`
332×	`cbrt-prod`
314×	`log1p-expm1-u`
314×	`expm1-log1p-u`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	112	21
2	1490	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Outputs
1

simplify98.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1610×	`unsub-neg`
782×	`fma-define`
766×	`associate-/r*`
746×	`neg-sub0`
590×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	2787
1	468	2458
2	1564	2232
3	7319	2216

Stop Event

1×	node limit

Counts

13 → 45

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1)) 1)
(.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (/.f64 2 (.f64 x (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (/.f64 2 (.f64 x (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))) (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (pow.f64 (log.f64 (/.f64 1 x)) 2))))) (.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 (pow.f64 x 3) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2)))))))))
(.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (.f64 x (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (.f64 x (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2)))) (+.f64 (/.f64 1/2 (.f64 x (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))
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1

Outputs
-1
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(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
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(-.f64 (/.f64 (-.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x) (/.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (.f64 x (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (.f64 x (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2)))) (+.f64 (/.f64 1/2 (.f64 x (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))
(.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (-.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (*.f64 x (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (/.f64 1/2 x) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) x)))
(-.f64 (/.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (-.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (*.f64 x (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (+.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (/.f64 1/2 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x))
(-.f64 (/.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (fma.f64 (/.f64 1/2 x) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (+.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) x))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x) (fma.f64 1/2 (/.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) x) (-.f64 (+.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))) x) (/.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 3)))))))) x)) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2)))))) x)) (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (neg.f64 (/.f64 (-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 1/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3)))))))) x)) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (+.f64 (/.f64 1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)))))) x) (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) x)))
(-.f64 (/.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (-.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (-.f64 (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) (neg.f64 x)) (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))))) x)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (+.f64 1/3 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) (.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (+.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -1/2)))) x)) x) (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) x) (/.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (+.f64 1/3 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) (.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (+.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -1/2))) (/.f64 -1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x) (-.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) x) (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) x) (/.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
1

eval338.0ms (4.3%)

Compiler: Compiled 3394 to 2662 computations (21.6% saved)

prune7.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	5	46

Accuracy

100.0%

Counts

46 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.7%	(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1)) 1)
▶	99.6%	(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
▶	99.2%	(-.f64 -1 x)
▶	98.0%	-1

Compiler

Compiled 37 to 29 computations (21.6% saved)

localize180.0ms (2.3%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1))
✓	100.0%	(.f64 x (-.f64 (.f64 -5/12 x) 1/2))
✓	99.4%	(*.f64 -5/12 x)
✓	100.0%	(.f64 x (-.f64 (.f64 -1/2 x) 1))

Results

137.0ms	255×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 87 to 65 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

Operation ival-sub, time spent: 50.0ms, 55.0% of total-time

Operation ival-mult, time spent: 36.0ms, 40.0% of total-time

Operation const, time spent: 5.0ms, 6.0% of total-time

series8.0ms (0.1%)

Counts

4 → 28

Calls

Call 1

Inputs
#<alt (.f64 x (-.f64 (.f64 -1/2 x) 1))>
#<alt (*.f64 -5/12 x)>
#<alt (.f64 x (-.f64 (.f64 -5/12 x) 1/2))>
#<alt (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1))>

Outputs
#<alt (*.f64 -1 x)>
#<alt (*.f64 -1/2 (pow.f64 x 2))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 -1/2 (pow.f64 x 2))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 -1/2 x)>
#<alt (*.f64 -5/12 (pow.f64 x 2))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))>
#<alt (*.f64 -5/12 (pow.f64 x 2))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))>
#<alt (*.f64 -1 x)>
#<alt (.f64 x (-.f64 (.f64 -1/2 x) 1))>
#<alt (*.f64 -5/12 (pow.f64 x 3))>
#<alt (.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))>
#<alt (.f64 (pow.f64 x 3) (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12))>
#<alt (.f64 (pow.f64 x 3) (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12))>
#<alt (*.f64 -5/12 (pow.f64 x 3))>
#<alt (.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x (- (* -1/2 x) 1))
1.0ms	x	@	-inf	(* x (- (* x (- (* -5/12 x) 1/2)) 1))
1.0ms	x	@	inf	(* x (- (* -5/12 x) 1/2))
0.0ms	x	@	-inf	(* x (- (* -1/2 x) 1))
0.0ms	x	@	-inf	(* x (- (* -5/12 x) 1/2))

rewrite124.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1148×	`log-prod`
1080×	`prod-diff`
672×	`log1p-expm1-u`
672×	`expm1-log1p-u`
652×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	84
1	234	84
2	3114	84

Stop Event

1×	node limit

Counts

4 → 96

Calls

Call 1

Inputs
(.f64 x (-.f64 (.f64 -1/2 x) 1))
(*.f64 -5/12 x)
(.f64 x (-.f64 (.f64 -5/12 x) 1/2))
(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1))

Outputs
(+.f64 0 (*.f64 x (fma.f64 x -1/2 -1)))
(+.f64 (.f64 x (.f64 x -1/2)) (*.f64 x -1))
(+.f64 (.f64 (.f64 x -1/2) x) (*.f64 -1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 -1)) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 -1)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 -1)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 -1)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 -1)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 -1)))) 1)
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 -1)) (fma.f64 (pow.f64 x 2) 1/4 (fma.f64 x -1/2 1)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/4 -1)) (fma.f64 x -1/2 1))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) -1/8 -1) x) (fma.f64 (pow.f64 x 2) 1/4 (fma.f64 x -1/2 1)))
(/.f64 (*.f64 (fma.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))
(fma.f64 x (.f64 x -1/2) (.f64 x -1))
(fma.f64 (.f64 x -1/2) x (.f64 -1 x))
(+.f64 0 (*.f64 x -5/12))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x)) (cbrt.f64 (pow.f64 (exp.f64 -5/12) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -5/12))) 1)
(pow.f64 (*.f64 x -5/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x -5/12)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) -125/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -5/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 25/144))
(log.f64 (pow.f64 (exp.f64 -5/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -5/12))))
(cbrt.f64 (*.f64 (pow.f64 x 3) -125/1728))
(expm1.f64 (log1p.f64 (*.f64 x -5/12)))
(log1p.f64 (expm1.f64 (*.f64 x -5/12)))
(exp.f64 (log.f64 (*.f64 x -5/12)))
(exp.f64 (.f64 (log.f64 (.f64 x -5/12)) 1))
(+.f64 0 (*.f64 x (fma.f64 x -5/12 -1/2)))
(+.f64 (.f64 x (.f64 x -5/12)) (*.f64 x -1/2))
(+.f64 (.f64 (.f64 x -5/12) x) (*.f64 x -1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) x))))
(-.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1) 1)
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -125/1728 -1/8)) (fma.f64 (pow.f64 x 2) 25/144 (fma.f64 x -5/24 1/4)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 25/144 -1/4)) (fma.f64 x -5/12 1/2))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) x) (fma.f64 (pow.f64 x 2) 25/144 (fma.f64 x -5/24 1/4)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 2) 25/144 -1/4) x) (fma.f64 x -5/12 1/2))
(pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -5/12 -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -5/12 -1/2))) 1))
(fma.f64 x (.f64 x -5/12) (.f64 x -1/2))
(fma.f64 1 (fma.f64 x (fma.f64 x -5/12 -1/2) 1) -1)
(fma.f64 (.f64 x -5/12) x (.f64 x -1/2))
(fma.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1)) (cbrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1))) (cbrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1)) -1)
(+.f64 0 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)))
(+.f64 (.f64 x (.f64 x (fma.f64 x -5/12 -1/2))) (*.f64 x -1))
(+.f64 (.f64 (.f64 x (fma.f64 x -5/12 -1/2)) x) (*.f64 -1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)))) 1)
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 3) -1)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2) (fma.f64 x (fma.f64 x -5/12 -1/2) 1)))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 2) -1)) (fma.f64 x (fma.f64 x -5/12 -1/2) 1))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 3) -1) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2) (fma.f64 x (fma.f64 x -5/12 -1/2) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 2) -1) x) (fma.f64 x (fma.f64 x -5/12 -1/2) 1))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))) 1))
(fma.f64 x (.f64 x (fma.f64 x -5/12 -1/2)) (.f64 x -1))
(fma.f64 (.f64 x (fma.f64 x -5/12 -1/2)) x (.f64 -1 x))

simplify112.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1406×	`fma-define`
1160×	`distribute-lft-in`
1122×	`distribute-rgt-in`
654×	`fma-neg`
488×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	267	4955
1	498	4955
2	1435	4573
3	5591	3573

Stop Event

1×	node limit

Counts

124 → 146

Calls

Call 1

Inputs
(*.f64 -1 x)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 -1/2 x)
(*.f64 -5/12 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(*.f64 -5/12 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(*.f64 -1 x)
(.f64 x (-.f64 (.f64 -1/2 x) 1))
(*.f64 -5/12 (pow.f64 x 3))
(.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(.f64 (pow.f64 x 3) (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12))
(.f64 (pow.f64 x 3) (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12))
(*.f64 -5/12 (pow.f64 x 3))
(.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))))
(.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))))
(+.f64 0 (*.f64 x (fma.f64 x -1/2 -1)))
(+.f64 (.f64 x (.f64 x -1/2)) (*.f64 x -1))
(+.f64 (.f64 (.f64 x -1/2) x) (*.f64 -1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 -1)) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 -1)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 -1)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 -1)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 -1)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 -1)))) 1)
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 -1)) (fma.f64 (pow.f64 x 2) 1/4 (fma.f64 x -1/2 1)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/4 -1)) (fma.f64 x -1/2 1))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) -1/8 -1) x) (fma.f64 (pow.f64 x 2) 1/4 (fma.f64 x -1/2 1)))
(/.f64 (*.f64 (fma.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))
(fma.f64 x (.f64 x -1/2) (.f64 x -1))
(fma.f64 (.f64 x -1/2) x (.f64 -1 x))
(+.f64 0 (*.f64 x -5/12))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x)) (cbrt.f64 (pow.f64 (exp.f64 -5/12) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -5/12))) 1)
(pow.f64 (*.f64 x -5/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x -5/12)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) -125/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -5/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 25/144))
(log.f64 (pow.f64 (exp.f64 -5/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -5/12))))
(cbrt.f64 (*.f64 (pow.f64 x 3) -125/1728))
(expm1.f64 (log1p.f64 (*.f64 x -5/12)))
(log1p.f64 (expm1.f64 (*.f64 x -5/12)))
(exp.f64 (log.f64 (*.f64 x -5/12)))
(exp.f64 (.f64 (log.f64 (.f64 x -5/12)) 1))
(+.f64 0 (*.f64 x (fma.f64 x -5/12 -1/2)))
(+.f64 (.f64 x (.f64 x -5/12)) (*.f64 x -1/2))
(+.f64 (.f64 (.f64 x -5/12) x) (*.f64 x -1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) x))))
(-.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1) 1)
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -125/1728 -1/8)) (fma.f64 (pow.f64 x 2) 25/144 (fma.f64 x -5/24 1/4)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 25/144 -1/4)) (fma.f64 x -5/12 1/2))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) x) (fma.f64 (pow.f64 x 2) 25/144 (fma.f64 x -5/24 1/4)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 2) 25/144 -1/4) x) (fma.f64 x -5/12 1/2))
(pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -5/12 -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -5/12 -1/2))) 1))
(fma.f64 x (.f64 x -5/12) (.f64 x -1/2))
(fma.f64 1 (fma.f64 x (fma.f64 x -5/12 -1/2) 1) -1)
(fma.f64 (.f64 x -5/12) x (.f64 x -1/2))
(fma.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1)) (cbrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1))) (cbrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1)) -1)
(+.f64 0 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)))
(+.f64 (.f64 x (.f64 x (fma.f64 x -5/12 -1/2))) (*.f64 x -1))
(+.f64 (.f64 (.f64 x (fma.f64 x -5/12 -1/2)) x) (*.f64 -1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)))) 1)
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 3) -1)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2) (fma.f64 x (fma.f64 x -5/12 -1/2) 1)))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 2) -1)) (fma.f64 x (fma.f64 x -5/12 -1/2) 1))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 3) -1) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2) (fma.f64 x (fma.f64 x -5/12 -1/2) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 2) -1) x) (fma.f64 x (fma.f64 x -5/12 -1/2) 1))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))) 1))
(fma.f64 x (.f64 x (fma.f64 x -5/12 -1/2)) (.f64 x -1))
(fma.f64 (.f64 x (fma.f64 x -5/12 -1/2)) x (.f64 -1 x))

Outputs
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -5/12)
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (+.f64 5/12 (/.f64 1/2 x)) (neg.f64 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) -5/12) (.f64 (neg.f64 x) 1/2))
(*.f64 x (fma.f64 x -5/12 -1/2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (+.f64 5/12 (/.f64 1/2 x)) (neg.f64 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) -5/12) (.f64 (neg.f64 x) 1/2))
(*.f64 x (fma.f64 x -5/12 -1/2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (+.f64 5/12 (/.f64 1/2 x)) (neg.f64 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) -5/12) (.f64 (neg.f64 x) 1/2))
(*.f64 x (fma.f64 x -5/12 -1/2))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -5/12)
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (+.f64 5/12 (/.f64 1/2 x)) (neg.f64 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) -5/12) (.f64 (neg.f64 x) 1/2))
(*.f64 x (fma.f64 x -5/12 -1/2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (+.f64 5/12 (/.f64 1/2 x)) (neg.f64 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) -5/12) (.f64 (neg.f64 x) 1/2))
(*.f64 x (fma.f64 x -5/12 -1/2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (+.f64 5/12 (/.f64 1/2 x)) (neg.f64 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) -5/12) (.f64 (neg.f64 x) 1/2))
(*.f64 x (fma.f64 x -5/12 -1/2))
(*.f64 -1 x)
(neg.f64 x)
(.f64 x (-.f64 (.f64 -1/2 x) 1))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 -5/12 (pow.f64 x 3))
(.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (*.f64 (+.f64 5/12 (/.f64 1/2 x)) (pow.f64 x 3)))
(*.f64 (+.f64 5/12 (/.f64 1/2 x)) (neg.f64 (pow.f64 x 3)))
(*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))
(.f64 (pow.f64 x 3) (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12))
(*.f64 (pow.f64 x 3) (fma.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x) -5/12))
(*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(.f64 (pow.f64 x 3) (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12))
(*.f64 (pow.f64 x 3) (fma.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x) -5/12))
(*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(*.f64 -5/12 (pow.f64 x 3))
(.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (*.f64 (+.f64 5/12 (/.f64 1/2 x)) (pow.f64 x 3)))
(*.f64 (+.f64 5/12 (/.f64 1/2 x)) (neg.f64 (pow.f64 x 3)))
(*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))
(.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (*.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (+.f64 (+.f64 5/12 (/.f64 1/2 x)) (/.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (+.f64 -5/12 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (*.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (+.f64 (+.f64 5/12 (/.f64 1/2 x)) (/.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (+.f64 -5/12 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(+.f64 0 (*.f64 x (fma.f64 x -1/2 -1)))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (.f64 x (.f64 x -1/2)) (*.f64 x -1))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (.f64 (.f64 x -1/2) x) (*.f64 -1 x))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 -1)) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 -1)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 -1)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 -1)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 -1)) x))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 -1)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 -1)))) 1)
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 -1)) (fma.f64 (pow.f64 x 2) 1/4 (fma.f64 x -1/2 1)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -1/8 -1) (fma.f64 (pow.f64 x 2) 1/4 (fma.f64 x -1/2 1))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/4 -1)) (fma.f64 x -1/2 1))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 2) 1/4 -1) (fma.f64 x -1/2 1)))
(*.f64 (fma.f64 (pow.f64 x 2) 1/4 -1) (/.f64 x (fma.f64 x -1/2 1)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) -1/8 -1) x) (fma.f64 (pow.f64 x 2) 1/4 (fma.f64 x -1/2 1)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 -1)) (fma.f64 (pow.f64 x 2) 1/4 (fma.f64 x -1/2 1)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -1/8 -1) (fma.f64 (pow.f64 x 2) 1/4 (fma.f64 x -1/2 1))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 2) 1/4 -1) x) (fma.f64 x -1/2 1))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 2) 1/4 -1) (fma.f64 x -1/2 1)))
(*.f64 (fma.f64 (pow.f64 x 2) 1/4 -1) (/.f64 x (fma.f64 x -1/2 1)))
(pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 1)
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 3)
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 3) 1/3)
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 2)
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 -1)) x))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/2 -1)))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 3))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -1/2 -1) 3)))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 -1) 3) (pow.f64 x 3)))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -1/2 -1))) 1))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 x (.f64 x -1/2) (.f64 x -1))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (.f64 x -1/2) x (.f64 -1 x))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 0 (*.f64 x -5/12))
(*.f64 x -5/12)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x)) (cbrt.f64 (pow.f64 (exp.f64 -5/12) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x))))
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(.f64 x (.f64 1 (fma.f64 x (fma.f64 x -5/12 -1/2) -1)))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 1)
(neg.f64 (*.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (+.f64 (+.f64 5/12 (/.f64 1/2 x)) (/.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (+.f64 -5/12 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))) 3)
(neg.f64 (*.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (+.f64 (+.f64 5/12 (/.f64 1/2 x)) (/.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (+.f64 -5/12 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 3) 1/3)
(neg.f64 (*.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (+.f64 (+.f64 5/12 (/.f64 1/2 x)) (/.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (+.f64 -5/12 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))) 2)
(neg.f64 (*.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (+.f64 (+.f64 5/12 (/.f64 1/2 x)) (/.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (+.f64 -5/12 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 2))
(neg.f64 (*.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (+.f64 (+.f64 5/12 (/.f64 1/2 x)) (/.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (+.f64 -5/12 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) x))
(neg.f64 (*.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (+.f64 (+.f64 5/12 (/.f64 1/2 x)) (/.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (+.f64 -5/12 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)))))
(neg.f64 (*.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (+.f64 (+.f64 5/12 (/.f64 1/2 x)) (/.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (+.f64 -5/12 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 3))
(neg.f64 (*.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (+.f64 (+.f64 5/12 (/.f64 1/2 x)) (/.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (+.f64 -5/12 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1) 3)))
(neg.f64 (*.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (+.f64 (+.f64 5/12 (/.f64 1/2 x)) (/.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (+.f64 -5/12 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1) 3) (pow.f64 x 3)))
(neg.f64 (*.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (+.f64 (+.f64 5/12 (/.f64 1/2 x)) (/.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (+.f64 -5/12 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))))
(neg.f64 (*.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (+.f64 (+.f64 5/12 (/.f64 1/2 x)) (/.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (+.f64 -5/12 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))))
(neg.f64 (*.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (+.f64 (+.f64 5/12 (/.f64 1/2 x)) (/.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (+.f64 -5/12 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))))
(neg.f64 (*.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (+.f64 (+.f64 5/12 (/.f64 1/2 x)) (/.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (+.f64 -5/12 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))) 1))
(neg.f64 (*.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (+.f64 (+.f64 5/12 (/.f64 1/2 x)) (/.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (+.f64 -5/12 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 x (.f64 x (fma.f64 x -5/12 -1/2)) (.f64 x -1))
(neg.f64 (*.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (+.f64 (+.f64 5/12 (/.f64 1/2 x)) (/.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (+.f64 -5/12 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 (.f64 x (fma.f64 x -5/12 -1/2)) x (.f64 -1 x))
(neg.f64 (*.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (+.f64 (+.f64 5/12 (/.f64 1/2 x)) (/.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (+.f64 -5/12 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))

eval122.0ms (1.5%)

Compiler: Compiled 2373 to 1882 computations (20.7% saved)

prune21.0ms (0.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	146	5	151

Accuracy

100.0%

Counts

151 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.7%	(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1)) 1)
✓	99.6%	(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
✓	99.2%	(-.f64 -1 x)
✓	98.0%	-1

Compiler

Compiled 79 to 61 computations (22.8% saved)

regimes8.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1)) 1)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Calls

2 calls:

5.0ms	x
2.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1)) 1)

Outputs
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1)) 1)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)

Outputs
(-.f64 -1 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`sub-neg`
18×	`*-commutative`
18×	`+-commutative`
6×	`neg-sub0`
6×	`mul-1-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	113
1	46	113
2	58	113
3	70	113
4	71	113

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1)) 1)
(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
(-.f64 -1 x)
-1

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1)) 1)
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 x -5/12) 1/2)) 1)) 1)
(+.f64 (.f64 x (+.f64 (.f64 x (-.f64 (*.f64 x -5/12) 1/2)) -1)) -1)
(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
(-.f64 (.f64 x (-.f64 (.f64 x -1/2) 1)) 1)
(+.f64 (.f64 x (+.f64 (.f64 x -1/2) -1)) -1)
(-.f64 -1 x)
-1

Compiler

Compiled 37 to 29 computations (21.6% saved)

soundness129.0ms (1.6%)

Rules

1610×	`unsub-neg`
782×	`fma-define`
766×	`associate-/r*`
746×	`neg-sub0`
590×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	141	2787
1	468	2458
2	1564	2232
3	7319	2216
0	19	124
1	40	104
2	61	104
3	102	104
4	151	104
5	203	104
6	235	104
7	254	104
8	274	104
9	276	104

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 63 to 46 computations (27% saved)

end0.0ms (0%)

preprocess59.0ms (0.7%)

Compiler: Compiled 100 to 76 computations (24% saved)

Iter	Nodes	Cost
0	19	124
1	40	104
2	61	104
3	102	104
4	151	104
5	203	104
6	235	104
7	254	104
8	274	104
9	276	104

Iter	Nodes	Cost
0	19	124
1	40	104
2	61	104
3	102	104
4	151	104
5	203	104
6	235	104
7	254	104
8	274	104
9	276	104

analyze473.0ms (6%)

sample5.0s (63.2%)

preprocess776.0ms (9.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize195.0ms (2.5%)

series7.0ms (0.1%)

rewrite219.0ms (2.8%)

simplify98.0ms (1.2%)

eval338.0ms (4.3%)

prune7.0ms (0.1%)

localize180.0ms (2.3%)

series8.0ms (0.1%)

rewrite124.0ms (1.6%)

simplify112.0ms (1.4%)

eval122.0ms (1.5%)

prune21.0ms (0.3%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

simplify5.0ms (0.1%)

soundness129.0ms (1.6%)

end0.0ms (0%)

preprocess59.0ms (0.7%)

Profiling

Iter	Nodes	Cost
0	19	124
1	40	104
2	61	104
3	102	104
4	151	104
5	203	104
6	235	104
7	254	104
8	274	104
9	276	104