Metrics for Hyperbolic tangent

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions

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

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-exp, time spent: 0.0ms, 0.0% of total-time

Operation ival-neg, time spent: 0.0ms, 0.0% of total-time

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

sample3.9s (71.3%)

Results

639.0ms	7623×	256	unsamplable
1.9s	4008×	1024	valid
784.0ms	2079×	512	valid
273.0ms	1939×	256	valid
101.0ms	229×	2048	valid
0.0ms	1×	1024	valid

Precisions

Click to see histograms. Total time spent on operations: 2.4s

Operation ival-exp, time spent: 1.3s, 54.0% of total-time

Operation ival-div, time spent: 572.0ms, 24.0% of total-time

Operation ival-sub, time spent: 185.0ms, 8.0% of total-time

Operation ival-add, time spent: 178.0ms, 7.0% of total-time

Operation ival-neg, time spent: 139.0ms, 6.0% of total-time

Operation const, time spent: 27.0ms, 1.0% of total-time

Bogosity

preprocess287.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

1566×	`div-sub`
1010×	`fma-neg`
638×	`cancel-sign-sub-inv`
606×	`sub-neg`
578×	`neg-mul-1`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
247	-	1	(0.00774429691122579)	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
6	-	0	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0	-	0	-	`x`
0	-	0	-	`(exp.f64 (neg.f64 x))`
0	-	0	-	`(neg.f64 x)`
0	-	0	-	`(exp.f64 x)`
0	-	0	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	220
1	49	220
2	97	220
3	196	220
4	544	220
5	2344	220
6	6420	220

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Symmetry

(negabs x)

Compiler

Compiled 84 to 23 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

Operation ival-exp, time spent: 57.0ms, 63.0% of total-time

Operation ival-div, time spent: 11.0ms, 12.0% of total-time

Operation ival-sub, time spent: 9.0ms, 10.0% of total-time

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

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

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

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.4%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 14 to 7 computations (50% saved)

localize89.0ms (1.6%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	97.7%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	11.7%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

Operation ival-exp, time spent: 31.0ms, 66.0% of total-time

Operation ival-div, time spent: 4.0ms, 9.0% of total-time

Operation ival-sub, time spent: 4.0ms, 9.0% of total-time

Operation ival-neg, time spent: 4.0ms, 9.0% of total-time

Operation ival-add, time spent: 3.0ms, 6.0% of total-time

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

series3.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	x	@	-inf	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	x	@	0	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0ms	x	@	0	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	x	@	-inf	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite140.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

110×	`associate-r`
108×	`times-frac`
80×	`add-exp-log`
80×	`add-log-exp`
80×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	174	42
2	3424	42

Stop Event

1×

unsound

Counts

3 → 30

Calls

Call 1

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

Outputs
-2
-1
0
1/2
1
3/2
2
3
4
5
-2
-1
0
1/2
1
3/2
2
3
4
5
-2
-1
0
1/2
1
3/2
2
3
4
5

simplify106.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1396×	`fma-def`
1008×	`unswap-sqr`
912×	`associate-r`
740×	`associate-l`
520×	`distribute-rgt-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	822
1	142	817
2	334	811
3	964	807
4	3187	807
5	5283	807
6	7064	807

Stop Event

1×	node limit

Counts

54 → 53

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
-2
-1
0
1/2
1
3/2
2
3
4
5
-2
-1
0
1/2
1
3/2
2
3
4
5
-2
-1
0
1/2
1
3/2
2
3
4
5

Outputs
(*.f64 2 x)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 2 x))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(fma.f64 (pow.f64 x 3) -1/3 x)
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 2/15)))
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (*.f64 (pow.f64 x 5) 2/15))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 x))
(fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 3) -1/3 x))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 (pow.f64 x 5) 2/15))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 7) -17/315)))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 7) -17/315))))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 7) -17/315 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2
(+.f64 2 (pow.f64 x 2))
(fma.f64 x x 2)
(+.f64 2 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 2 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) 2))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(+.f64 2 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) 2)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) 2)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
-2
-1
0
1/2
1
3/2
2
3
4
5
-2
-1
0
1/2
1
3/2
2
3
4
5
-2
-1
0
1/2
1
3/2
2
3
4
5

eval15.0ms (0.3%)

Compiler: Compiled 782 to 418 computations (46.5% saved)

prune10.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	6	54

Accuracy

97.9%

Counts

54 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.4%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	97.7%	(/.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	97.5%	(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
▶	97.5%	(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
▶	97.0%	(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
▶	96.4%	x

Compiler

Compiled 160 to 121 computations (24.4% saved)

localize415.0ms (7.6%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))
✓	99.9%	(*.f64 -17/315 (pow.f64 x 7))
✓	99.9%	(*.f64 2/15 (pow.f64 x 5))
✓	99.8%	(*.f64 -1/3 (pow.f64 x 3))
✓	100.0%	(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
✓	99.9%	(*.f64 2/15 (pow.f64 x 5))
✓	99.8%	(*.f64 -1/3 (pow.f64 x 3))
✓	99.8%	(*.f64 (pow.f64 x 3) -1/3)
✓	100.0%	(/.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	99.9%	(*.f64 1/2520 (pow.f64 x 7))
✓	99.9%	(*.f64 1/60 (pow.f64 x 5))
✓	99.8%	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 265 to 197 computations (25.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 218.0ms

Operation ival-pow, time spent: 105.0ms, 48.0% of total-time

Operation ival-mult, time spent: 63.0ms, 29.0% of total-time

Operation ival-add, time spent: 29.0ms, 13.0% of total-time

Operation const, time spent: 13.0ms, 6.0% of total-time

Operation ival-exp, time spent: 5.0ms, 2.0% of total-time

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

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

series19.0ms (0.4%)

Counts

12 → 33

Calls

36 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(*.f64 2/15 (pow.f64 x 5))
2.0ms	x	@	0	(*.f64 -17/315 (pow.f64 x 7))
1.0ms	x	@	inf	(/.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	x	@	-inf	(/.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	x	@	inf	(*.f64 1/60 (pow.f64 x 5))

rewrite62.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

426×	`associate-r`
286×	`prod-diff`
278×	`associate-l`
260×	`log1p-expm1-u`
260×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	192
1	578	192

Stop Event

1×	node limit

Counts

12 → 480

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/60 (pow.f64 x 5))
(*.f64 1/2520 (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 x 3) -1/3)
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 2/15 (pow.f64 x 5))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))

Outputs
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14

simplify131.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1894×	`times-frac`
1530×	`fma-neg`
1294×	`fma-def`
1190×	`associate-r`
866×	`associate-/r/`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	93	1917
1	204	1913
2	345	1909
3	694	1905
4	1351	1859
5	3646	1859
6	5199	1853
7	6385	1853

Stop Event

1×	node limit

Counts

513 → 89

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+.f64 (.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(+.f64 (.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))
(.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x)))))
(+.f64 (.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))) (.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))))
(+.f64 (.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))) (+.f64 (.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))) (.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x)))))))
(+.f64 (.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))) (+.f64 (.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))) (.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))))))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 2/15 (pow.f64 x 5))
(*.f64 2/15 (pow.f64 x 5))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (.f64 2/15 (pow.f64 x 5)))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (.f64 2/15 (pow.f64 x 5)))
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14

Outputs
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(*.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 1/2520 (pow.f64 x 7)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 (pow.f64 x 7) 1/2520) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (pow.f64 x 7) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2520))
(*.f64 (pow.f64 x 7) (/.f64 1/2520 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1/2520 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 7)))
(+.f64 (.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (*.f64 (pow.f64 x 7) 1/2520) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 x 7) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2520)))
(fma.f64 (pow.f64 x 5) (/.f64 1/60 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 x 7) (/.f64 1/2520 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 (pow.f64 x 5) (/.f64 1/60 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1/2520 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 7))))
(+.f64 (.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (/.f64 1/3 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (pow.f64 x 3))))
(fma.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 x 3) (/.f64 1/3 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 (pow.f64 x 3) (/.f64 1/3 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 (pow.f64 x 5) (/.f64 1/60 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 x 7) (/.f64 1/2520 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 (pow.f64 x 3) (/.f64 1/3 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 (pow.f64 x 5) (/.f64 1/60 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1/2520 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 7)))))
(+.f64 (.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))
(fma.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (*.f64 x 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 (pow.f64 x 5) (/.f64 1/60 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 (pow.f64 x 7) (/.f64 1/2520 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (.f64 1/3 (*.f64 x x)) 2))))
(fma.f64 (pow.f64 x 5) (/.f64 1/60 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 (pow.f64 x 7) (/.f64 1/2520 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 2 (.f64 1/3 (*.f64 x x))))))
(fma.f64 (pow.f64 x 5) (/.f64 1/60 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 (pow.f64 x 7) (/.f64 1/2520 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x)))))
(/.f64 (*.f64 1/2520 (pow.f64 x 7)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 (pow.f64 x 7) 1/2520) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (pow.f64 x 7) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2520))
(*.f64 (pow.f64 x 7) (/.f64 1/2520 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1/2520 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 7)))
(+.f64 (.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))) (.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))))
(fma.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (*.f64 (pow.f64 x 7) 1/2520) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 x 7) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2520)))
(fma.f64 (pow.f64 x 5) (/.f64 1/60 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 x 7) (/.f64 1/2520 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 (pow.f64 x 5) (/.f64 1/60 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1/2520 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 7))))
(+.f64 (.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))) (+.f64 (.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))) (.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x)))))))
(fma.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (/.f64 1/3 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (pow.f64 x 3))))
(fma.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 x 3) (/.f64 1/3 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 (pow.f64 x 3) (/.f64 1/3 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 (pow.f64 x 5) (/.f64 1/60 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 x 7) (/.f64 1/2520 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 (pow.f64 x 3) (/.f64 1/3 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 (pow.f64 x 5) (/.f64 1/60 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1/2520 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 7)))))
(+.f64 (.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))) (+.f64 (.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))) (.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))))))
(fma.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (*.f64 x 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 (pow.f64 x 5) (/.f64 1/60 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 (pow.f64 x 7) (/.f64 1/2520 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (.f64 1/3 (*.f64 x x)) 2))))
(fma.f64 (pow.f64 x 5) (/.f64 1/60 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 (pow.f64 x 7) (/.f64 1/2520 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 2 (.f64 1/3 (*.f64 x x))))))
(fma.f64 (pow.f64 x 5) (/.f64 1/60 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 (pow.f64 x 7) (/.f64 1/2520 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 2/15 (pow.f64 x 5))
(*.f64 2/15 (pow.f64 x 5))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (.f64 2/15 (pow.f64 x 5)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (.f64 2/15 (pow.f64 x 5)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
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-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
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-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
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-1/3
-2/15
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-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14
-4
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
0
1/16003008000
1/6350400
1/216000
1/3600
1/2520
8/3375
289/99225
1/60
4/225
1/27
1/9
2/15
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
10
14

eval33.0ms (0.6%)

Compiler: Compiled 2057 to 1175 computations (42.9% saved)

prune22.0ms (0.4%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	89	6	95

Accuracy

97.9%

Counts

95 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.4%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	97.7%	(/.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	97.5%	(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
✓	97.5%	(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
✓	97.0%	(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
✓	96.4%	x

Compiler

Compiled 169 to 119 computations (29.6% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
97.7%	1	`x`
97.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 16 to 8 computations (50% saved)

regimes7.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))

Calls

2 calls:

4.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
97.5%	1	`x`
97.5%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 16 to 8 computations (50% saved)

regimes3.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))

Outputs
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))

Outputs
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
96.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative`
16×	`*-commutative`
2×	`sub-neg`
2×	`neg-mul-1`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	245
1	63	245
2	65	245
3	66	245

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
x

Outputs
(/.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x 2)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 x (+.f64 (.f64 (pow.f64 x 3) -1/3) (+.f64 (.f64 (pow.f64 x 7) -17/315) (*.f64 (pow.f64 x 5) 2/15))))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 (pow.f64 x 3) -1/3) (.f64 (pow.f64 x 5) 2/15)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
x

Compiler

Compiled 73 to 57 computations (21.9% saved)

soundness126.0ms (2.3%)

Rules

1396×	`fma-def`
1008×	`unswap-sqr`
912×	`associate-r`
740×	`associate-l`
520×	`distribute-rgt-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	822
1	142	817
2	334	811
3	964	807
4	3187	807
5	5283	807
6	7064	807

Stop Event

1×	node limit

Compiler

Compiled 15 to 11 computations (26.7% saved)

end0.0ms (0%)

preprocess76.0ms (1.4%)

Remove: (negabs x)
Compiler: Compiled 514 to 396 computations (23% saved)

analyze0.0ms (0%)

sample3.9s (71.3%)

preprocess287.0ms (5.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize89.0ms (1.6%)

series3.0ms (0.1%)

rewrite140.0ms (2.6%)

simplify106.0ms (2%)

eval15.0ms (0.3%)

prune10.0ms (0.2%)

localize415.0ms (7.6%)

series19.0ms (0.4%)

rewrite62.0ms (1.1%)

simplify131.0ms (2.4%)

eval33.0ms (0.6%)

prune22.0ms (0.4%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify6.0ms (0.1%)

soundness126.0ms (2.3%)

end0.0ms (0%)

preprocess76.0ms (1.4%)

Profiling