Metrics for sqrt C (should all be same)

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 8 to 6 computations (25% saved)

Precisions

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

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

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

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

sample979.0ms (22.6%)

Results

924.0ms	8254×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 298.0ms

Operation ival-mult, time spent: 143.0ms, 48.0% of total-time

Operation ival-sqrt, time spent: 140.0ms, 47.0% of total-time

Operation const, time spent: 15.0ms, 5.0% of total-time

Bogosity

preprocess126.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

128×	`fma-define`
32×	`associate-r`
26×	`distribute-lft-neg-in`
26×	`associate-l`
24×	`distribute-lft-in`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
120	-	3	(2.6148827336273353e-161)	`(sqrt.f64 (.f64 2 (.f64 x x)))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`2`
0	-	0	-	`(.f64 2 (.f64 x x))`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	96
1	30	96
2	69	96
3	144	96
4	218	96
5	293	96
6	295	96

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 (neg.f64 x) (neg.f64 x))))
(neg.f64 (sqrt.f64 (.f64 2 (.f64 (neg.f64 x) (neg.f64 x)))))

Outputs
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 (neg.f64 x) (neg.f64 x))))
(sqrt.f64 (.f64 2 (.f64 x x)))
(neg.f64 (sqrt.f64 (.f64 2 (.f64 (neg.f64 x) (neg.f64 x)))))
(neg.f64 (sqrt.f64 (.f64 2 (.f64 x x))))

Symmetry

(abs x)

Compiler

Compiled 43 to 23 computations (46.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

Operation ival-mult, time spent: 14.0ms, 60.0% of total-time

Operation ival-sqrt, time spent: 8.0ms, 34.0% of total-time

Operation const, time spent: 2.0ms, 9.0% 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
▶	56.8%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize35.0ms (0.8%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 2 (.f64 x x))
✓	56.8%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 18 to 9 computations (50% saved)

Precisions

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

Operation ival-mult, time spent: 7.0ms, 56.0% of total-time

Operation ival-sqrt, time spent: 5.0ms, 40.0% of total-time

Operation const, time spent: 1.0ms, 8.0% of total-time

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(sqrt.f64 (.f64 2 (.f64 x x)))
1.0ms	x	@	inf	(.f64 2 (.f64 x x))
1.0ms	x	@	inf	(sqrt.f64 (.f64 2 (.f64 x x)))
1.0ms	x	@	0	(.f64 2 (.f64 x x))
1.0ms	x	@	-inf	(sqrt.f64 (.f64 2 (.f64 x x)))

rewrite190.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`unpow-prod-down`
418×	`log-prod`
398×	`cbrt-prod`
368×	`prod-exp`
317×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	89	30
2	981	30

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

Inputs
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 2 (.f64 x x))

Outputs
(+.f64 0 (*.f64 x (sqrt.f64 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))))
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 2))) 1)
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 x (sqrt.f64 2)) 1)
(.f64 1 (.f64 x (sqrt.f64 2)))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 2 (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (*.f64 x (sqrt.f64 2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 2) 1/2))
(.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (.f64 2 (*.f64 x (sqrt.f64 2))) 1/3))
(.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 2 (*.f64 x (sqrt.f64 2)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) (sqrt.f64 (*.f64 x (sqrt.f64 2))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 2 x)))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(.f64 (cbrt.f64 2) (pow.f64 (.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 2))) 1/3))
(.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (pow.f64 (pow.f64 (*.f64 2 (pow.f64 x 2)) 5/6) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x 2)) 5/6)))
(.f64 (cbrt.f64 (.f64 2 x)) (pow.f64 (.f64 x (.f64 x (sqrt.f64 2))) 1/3))
(.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 (.f64 x (.f64 x (sqrt.f64 2)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))))
(.f64 (pow.f64 2 1/4) (pow.f64 (.f64 x (*.f64 x (sqrt.f64 2))) 1/2))
(.f64 (pow.f64 2 1/4) (sqrt.f64 (.f64 x (*.f64 x (sqrt.f64 2)))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/4) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3/2) 1/2))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/4) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3/2)))
(.f64 (pow.f64 1 1/3) (.f64 x (sqrt.f64 2)))
(.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 3/2) 1/2) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/4))
(.f64 (pow.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 4)) 1/2) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 5/6) 1/2) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6))
(.f64 (pow.f64 (.f64 (*.f64 x (sqrt.f64 2)) (sqrt.f64 2)) 1/2) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 (*.f64 2 x) 1) 1/2) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 x) 2)) 1/2) (pow.f64 x 1/6))
(.f64 (pow.f64 (.f64 (*.f64 2 x) (sqrt.f64 x)) 1/2) (pow.f64 x 1/4))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))))
(.f64 (pow.f64 (.f64 (*.f64 2 (pow.f64 x 2)) (sqrt.f64 2)) 1/3) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 5/2) 1/3) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6))
(.f64 (cbrt.f64 (.f64 (*.f64 2 (pow.f64 x 2)) (sqrt.f64 2))) (cbrt.f64 x))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 5/2)) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6))
(.f64 (sqrt.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 5/6)) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 3/2)) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/4))
(.f64 (sqrt.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 4))) (cbrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 x (sqrt.f64 2)) (sqrt.f64 2))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 2 x) 1)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 x 1/6))
(.f64 (sqrt.f64 (.f64 (*.f64 2 x) (sqrt.f64 x))) (pow.f64 x 1/4))
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (*.f64 x (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 6) 8)) 1/3)
(pow.f64 (*.f64 (pow.f64 x 4) 4) 1/4)
(pow.f64 (*.f64 (pow.f64 x 6) 8) 1/6)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 2))))
(pow.f64 (exp.f64 1/2) (log.f64 (*.f64 2 (pow.f64 x 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 2)))) 2)) (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 2))))) (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 2)))))
(fabs.f64 (*.f64 x (sqrt.f64 2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))
(cbrt.f64 (sqrt.f64 (*.f64 (pow.f64 x 6) 8)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (pow.f64 x 6) 8))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 2))
(+.f64 (pow.f64 x 2) (pow.f64 x 2))
(+.f64 0 (*.f64 2 (pow.f64 x 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 4))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x 2)))))
(-.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) 1)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1)
(pow.f64 (*.f64 x (sqrt.f64 2)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 6)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 6) 8)) 2/3)
(pow.f64 (*.f64 (pow.f64 x 4) 4) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) 8) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 4)
(pow.f64 (E.f64) (log.f64 (*.f64 2 (pow.f64 x 2))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 2))) (cbrt.f64 (log.f64 (.f64 2 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 2 (pow.f64 x 2))))) (sqrt.f64 (log.f64 (.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 4))
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x 2)))
(cbrt.f64 (*.f64 (pow.f64 x 6) 8))
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 2))) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) 4)) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) 8)) 1/3))

eval80.0ms (1.9%)

Compiler: Compiled 1104 to 908 computations (17.8% saved)

prune18.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	111	7	118
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	111	8	119

Accuracy

99.9%

Counts

119 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
▶	97.8%	(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
▶	70.1%	(.f64 (sqrt.f64 (.f64 (*.f64 2 x) (sqrt.f64 x))) (pow.f64 x 1/4))
	79.1%	(.f64 (sqrt.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 4))) (cbrt.f64 x))
▶	99.5%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
▶	99.3%	(*.f64 (sqrt.f64 2) x)
	56.2%	(.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 (.f64 x (.f64 x (sqrt.f64 2)))))
✓	56.8%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 137 to 107 computations (21.9% saved)

localize238.0ms (5.5%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	99.8%	(.f64 (.f64 2 x) (sqrt.f64 x))
✓	99.4%	(.f64 (sqrt.f64 (.f64 (*.f64 2 x) (sqrt.f64 x))) (pow.f64 x 1/4))
✓	69.6%	(sqrt.f64 (.f64 (.f64 2 x) (sqrt.f64 x)))
✓	99.8%	(sqrt.f64 (*.f64 x (sqrt.f64 2)))
✓	99.3%	(*.f64 x (sqrt.f64 2))
✓	99.2%	(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
✓	99.3%	(*.f64 x (sqrt.f64 2))
✓	99.1%	(cbrt.f64 (*.f64 x (sqrt.f64 2)))
✓	98.8%	(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
✓	99.3%	(*.f64 (sqrt.f64 2) x)
✓	99.5%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))

Compiler

Compiled 104 to 72 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

Operation ival-sqrt, time spent: 61.0ms, 47.0% of total-time

Operation ival-mult, time spent: 39.0ms, 30.0% of total-time

Operation ival-pow, time spent: 21.0ms, 16.0% of total-time

Operation const, time spent: 5.0ms, 4.0% of total-time

Operation ival-cbrt, time spent: 4.0ms, 3.0% of total-time

series140.0ms (3.2%)

Counts

11 → 92

Calls

33 calls:

Time	Variable		Point	Expression
79.0ms	x	@	0	(sqrt.f64 (.f64 (.f64 2 x) (sqrt.f64 x)))
23.0ms	x	@	-inf	(.f64 (sqrt.f64 (.f64 (*.f64 2 x) (sqrt.f64 x))) (pow.f64 x 1/4))
7.0ms	x	@	inf	(sqrt.f64 (.f64 (.f64 2 x) (sqrt.f64 x)))
6.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
2.0ms	x	@	inf	(cbrt.f64 (*.f64 x (sqrt.f64 2)))

rewrite238.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1216×	`log-prod`
870×	`log1p-expm1-u`
870×	`expm1-log1p-u`
392×	`log-pow`
326×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	247
1	337	170
2	3334	170

Stop Event

1×	node limit

Counts

11 → 370

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 2) x)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
(cbrt.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(*.f64 x (sqrt.f64 2))
(sqrt.f64 (*.f64 x (sqrt.f64 2)))
(sqrt.f64 (.f64 (.f64 2 x) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (*.f64 2 x) (sqrt.f64 x))) (pow.f64 x 1/4))
(.f64 (.f64 2 x) (sqrt.f64 x))

Outputs
(+.f64 0 (*.f64 x (sqrt.f64 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2))) (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 2)))) 1)
(pow.f64 (*.f64 x (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 1/3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 2 (sqrt.f64 2))))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 x) 3/2) (pow.f64 x 3/2)))
(cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (.f64 2 x) 3/2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (pow.f64 x 3/2)) 3/2) (pow.f64 (pow.f64 x 1/4) 3)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 (.f64 2 (pow.f64 x 3/2)) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 2))) 1))
(+.f64 0 (*.f64 x (sqrt.f64 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2))) (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 2)))) 1)
(pow.f64 (*.f64 x (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 1/3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 2 (sqrt.f64 2))))
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(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 1/3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 2 (sqrt.f64 2))))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 x) 3/2) (pow.f64 x 3/2)))
(cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (.f64 2 x) 3/2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (pow.f64 x 3/2)) 3/2) (pow.f64 (pow.f64 x 1/4) 3)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 (.f64 2 (pow.f64 x 3/2)) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 2))) 1))
(+.f64 0 (sqrt.f64 (*.f64 x (sqrt.f64 2))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))) 1)
(*.f64 (sqrt.f64 x) (pow.f64 2 1/4))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) 1)
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) (log.f64 (exp.f64 1)))
(.f64 (pow.f64 x 1/4) (pow.f64 (.f64 2 x) 1/4))
(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (pow.f64 2 1/4)))
(.f64 1 (sqrt.f64 (.f64 x (sqrt.f64 2))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 2 1/4)))
(*.f64 (pow.f64 2 1/4) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 2 x) 1/4) (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 2 (pow.f64 x 3/2)) 1/4) (pow.f64 x 1/8))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/4) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/4))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/6) (cbrt.f64 (*.f64 x (sqrt.f64 2))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/6) (pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 1/2))
(.f64 (pow.f64 x 1/8) (pow.f64 (.f64 2 (pow.f64 x 3/2)) 1/4))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 x (sqrt.f64 2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) 1/2) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6))
(.f64 (pow.f64 1 3/2) (sqrt.f64 (.f64 x (sqrt.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 x) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 2)) 3/2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/6) 3/2) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6) 3/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) 3/4) (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3/4))
(pow.f64 (*.f64 x (sqrt.f64 2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3/2)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 1)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6) 3)
(fabs.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 2))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) 3/2))
(+.f64 0 (sqrt.f64 (*.f64 2 (pow.f64 x 3/2))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (pow.f64 x 3/2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (pow.f64 x 3/2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (pow.f64 x 3/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (pow.f64 x 3/2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (pow.f64 x 3/2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3/2))))) 1)
(.f64 (sqrt.f64 (.f64 2 x)) (pow.f64 x 1/4))
(*.f64 (sqrt.f64 2) (pow.f64 (pow.f64 x 1/4) 3))
(*.f64 (sqrt.f64 2) (pow.f64 (pow.f64 x 3/2) 1/2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (pow.f64 x 3/2)))
(.f64 (sqrt.f64 (.f64 2 (pow.f64 x 3/2))) 1)
(.f64 (sqrt.f64 (.f64 2 (pow.f64 x 3/2))) (log.f64 (exp.f64 1)))
(.f64 (pow.f64 x 1/4) (sqrt.f64 (.f64 2 x)))
(.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 3/2))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (pow.f64 x 3/2)))) (*.f64 (cbrt.f64 2) (sqrt.f64 x)))
(.f64 (cbrt.f64 (.f64 2 x)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 x))) (pow.f64 x 1/4)))
(.f64 (.f64 (cbrt.f64 2) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3/2)))))
(.f64 (pow.f64 (.f64 2 x) 1/4) (sqrt.f64 (*.f64 x (sqrt.f64 2))))
(.f64 (pow.f64 (.f64 2 (pow.f64 x 3/2)) 1/4) (pow.f64 (*.f64 2 (pow.f64 x 3/2)) 1/4))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 2 (pow.f64 x 3/2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 x 3))) 1/2) (pow.f64 (*.f64 (cbrt.f64 2) (sqrt.f64 x)) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 3)))) (sqrt.f64 (*.f64 (cbrt.f64 2) (sqrt.f64 x))))
(pow.f64 (*.f64 2 (pow.f64 x 3/2)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3/2))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3/2)))) 3)
(pow.f64 (pow.f64 (*.f64 2 (pow.f64 x 3/2)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (pow.f64 x 3/2)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3/2))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3/2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3/2))))))
(cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x 3/2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3/2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3/2)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3/2)))))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 3/2))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (pow.f64 x 3/2)))) 1))
(+.f64 0 (*.f64 x (sqrt.f64 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2))) (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 2)))) 1)
(pow.f64 (*.f64 x (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 1/3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 2 (sqrt.f64 2))))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 x) 3/2) (pow.f64 x 3/2)))
(cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (.f64 2 x) 3/2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (pow.f64 x 3/2)) 3/2) (pow.f64 (pow.f64 x 1/4) 3)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 (.f64 2 (pow.f64 x 3/2)) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 2))) 1))
(+.f64 0 (*.f64 2 (pow.f64 x 3/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x 3/2))) (cbrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x 3/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x 3/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x 3/2)))) 1)
(pow.f64 (*.f64 2 (pow.f64 x 3/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3/2))) 2)
(pow.f64 (*.f64 (cbrt.f64 2) (sqrt.f64 x)) 3)
(pow.f64 (*.f64 4 (pow.f64 x 3)) 1/2)
(pow.f64 (pow.f64 (*.f64 2 (pow.f64 x 3/2)) 3) 1/3)
(sqrt.f64 (*.f64 4 (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x 3/2)))))
(cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x 3/2)) 3))
(cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (.f64 2 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x 3/2))))
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x 3/2))))
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x 3/2))))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 3/2))) 1))

eval168.0ms (3.9%)

Compiler: Compiled 5665 to 4741 computations (16.3% saved)

prune56.0ms (1.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	506	4	510
Fresh	2	0	2
Picked	3	2	5
Done	0	1	1
Total	511	7	518

Accuracy

100.0%

Counts

518 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(pow.f64 (*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) 2)
▶	70.1%	(.f64 (pow.f64 x 1/4) (sqrt.f64 (.f64 2 (pow.f64 x 3/2))))
▶	99.3%	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
▶	98.5%	(.f64 (.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
✓	99.5%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 2) x)
✓	56.8%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 62 to 50 computations (19.4% saved)

localize646.0ms (14.9%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	99.5%	(*.f64 (pow.f64 2 1/4) (sqrt.f64 x))
✓	99.2%	(pow.f64 (*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) 2)
✓	100.0%	(*.f64 2 (pow.f64 x 3/2))
✓	99.4%	(.f64 (pow.f64 x 1/4) (sqrt.f64 (.f64 2 (pow.f64 x 3/2))))
✓	69.6%	(sqrt.f64 (*.f64 2 (pow.f64 x 3/2)))
✓	99.7%	(*.f64 (pow.f64 2 1/4) x)
✓	99.5%	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
✓	99.5%	(.f64 (sqrt.f64 (.f64 2 x)) (cbrt.f64 x))
✓	99.5%	(.f64 (.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
✓	99.1%	(cbrt.f64 x)
✓	99.1%	(cbrt.f64 (sqrt.f64 x))

Compiler

Compiled 109 to 76 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 540.0ms

Operation ival-pow, time spent: 405.0ms, 75.0% of total-time

Operation ival-mult, time spent: 62.0ms, 11.0% of total-time

Operation ival-cbrt, time spent: 47.0ms, 9.0% of total-time

Operation ival-sqrt, time spent: 19.0ms, 4.0% of total-time

Operation const, time spent: 6.0ms, 1.0% of total-time

series116.0ms (2.7%)

Counts

11 → 104

Calls

33 calls:

Time	Variable		Point	Expression
44.0ms	x	@	0	(*.f64 (pow.f64 2 1/4) x)
13.0ms	x	@	0	(cbrt.f64 (sqrt.f64 x))
9.0ms	x	@	0	(.f64 (sqrt.f64 (.f64 2 x)) (cbrt.f64 x))
9.0ms	x	@	inf	(.f64 (sqrt.f64 (.f64 2 x)) (cbrt.f64 x))
8.0ms	x	@	inf	(cbrt.f64 (sqrt.f64 x))

rewrite172.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`log-prod`
695×	`log1p-expm1-u`
695×	`expm1-log1p-u`
440×	`expm1-undefine`
440×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	295
1	384	171
2	4556	171

Stop Event

1×	node limit

Counts

11 → 288

Calls

Call 1

Inputs
(cbrt.f64 (sqrt.f64 x))
(cbrt.f64 x)
(.f64 (.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 2 x)) (cbrt.f64 x))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(*.f64 (pow.f64 2 1/4) x)
(sqrt.f64 (*.f64 2 (pow.f64 x 3/2)))
(.f64 (pow.f64 x 1/4) (sqrt.f64 (.f64 2 (pow.f64 x 3/2))))
(*.f64 2 (pow.f64 x 3/2))
(pow.f64 (*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) 2)
(*.f64 (pow.f64 2 1/4) (sqrt.f64 x))

Outputs
(+.f64 0 (pow.f64 x 1/6))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x 1/6))) (cbrt.f64 (exp.f64 (pow.f64 x 1/6))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 1/6)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 1/6)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 1/6))) 1)
(*.f64 (pow.f64 x 1/6) 1)
(*.f64 1 (pow.f64 x 1/6))
(*.f64 (cbrt.f64 (pow.f64 x 1/6)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 1/6)))
(*.f64 (sqrt.f64 (pow.f64 x 1/6)) (sqrt.f64 (pow.f64 x 1/6)))
(*.f64 (pow.f64 1 1/3) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 x))))
(pow.f64 x 1/6)
(pow.f64 (sqrt.f64 x) 1/3)
(pow.f64 (pow.f64 x 1/6) 1)
(pow.f64 (cbrt.f64 x) 1/2)
(pow.f64 (cbrt.f64 (pow.f64 x 1/6)) 3)
(pow.f64 (sqrt.f64 (pow.f64 x 1/6)) 2)
(sqrt.f64 (cbrt.f64 x))
(fabs.f64 (pow.f64 x 1/6))
(log.f64 (exp.f64 (pow.f64 x 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 1/6))))
(expm1.f64 (log1p.f64 (pow.f64 x 1/6)))
(log1p.f64 (expm1.f64 (pow.f64 x 1/6)))
(exp.f64 (log.f64 (pow.f64 x 1/6)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 1/6)) 1))
(+.f64 0 (cbrt.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) (cbrt.f64 (exp.f64 (cbrt.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(*.f64 (cbrt.f64 x) 1)
(*.f64 (pow.f64 x 1/4) (sqrt.f64 (pow.f64 x 1/6)))
(*.f64 1 (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 x 2))))
(.f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (cbrt.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 x 1/6)) (pow.f64 x 1/4))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 2)) 1/3) (cbrt.f64 (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 x 1/6) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 1/6)))
(pow.f64 x 1/3)
(pow.f64 (sqrt.f64 x) 2/3)
(pow.f64 (pow.f64 x 1/6) 2)
(pow.f64 (cbrt.f64 x) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 x 2)))
(log.f64 (exp.f64 (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
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(.f64 (.f64 (pow.f64 x 1/4) (sqrt.f64 2)) (pow.f64 x 3/4))
(.f64 (.f64 (pow.f64 x 1/4) (pow.f64 (.f64 2 (pow.f64 x 3/2)) 1/4)) (pow.f64 (.f64 2 (pow.f64 x 3/2)) 1/4))
(.f64 (.f64 (pow.f64 4 1/8) (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 x 2)))) (cbrt.f64 (.f64 x (pow.f64 4 1/8))))
(.f64 (.f64 (pow.f64 4 1/8) (.f64 (sqrt.f64 x) (pow.f64 2 1/8))) (.f64 (sqrt.f64 x) (pow.f64 2 1/8)))
(.f64 (.f64 (*.f64 x (pow.f64 4 1/8)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (pow.f64 4 1/8)))
(.f64 (.f64 (*.f64 x (pow.f64 4 1/8)) (pow.f64 2 1/8)) (pow.f64 2 1/8))
(.f64 (.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(sqrt.f64 (.f64 (.f64 x 2) x))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))
(cbrt.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 x 2))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (pow.f64 x 3/2)) 3/2) (pow.f64 x 3/4)))
(cbrt.f64 (.f64 (pow.f64 x 3/4) (pow.f64 (.f64 2 (pow.f64 x 3/2)) 3/2)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 4 1/8) 3) (pow.f64 (.f64 x (pow.f64 4 1/8)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (pow.f64 4 1/8)) 3) (pow.f64 (pow.f64 4 1/8) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 2))) 1))
(+.f64 0 (sqrt.f64 (*.f64 x (sqrt.f64 2))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))) 1)
(pow.f64 (*.f64 x (sqrt.f64 2)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 1/4) (pow.f64 2 1/8)) 2)
(sqrt.f64 (*.f64 x (sqrt.f64 2)))
(fabs.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (pow.f64 4 1/8) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 4 1/8) 3) (pow.f64 x 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1))

eval137.0ms (3.2%)

Compiler: Compiled 4802 to 3708 computations (22.8% saved)

prune34.0ms (0.8%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	391	1	392
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	392	7	399

Accuracy

100.0%

Counts

399 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(pow.f64 (*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) 2)
✓	70.1%	(.f64 (pow.f64 x 1/4) (sqrt.f64 (.f64 2 (pow.f64 x 3/2))))
✓	99.3%	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
▶	99.4%	(.f64 (pow.f64 2 1/8) (.f64 (pow.f64 2 1/8) (*.f64 x (pow.f64 4 1/8))))
✓	99.5%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 2) x)
✓	56.8%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 64 to 54 computations (15.6% saved)

localize92.0ms (2.1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.7%	(*.f64 x (pow.f64 4 1/8))
✓	99.6%	(.f64 (pow.f64 2 1/8) (.f64 x (pow.f64 4 1/8)))
✓	99.6%	(.f64 (pow.f64 2 1/8) (.f64 (pow.f64 2 1/8) (*.f64 x (pow.f64 4 1/8))))

Compiler

Compiled 39 to 35 computations (10.3% saved)

Precisions

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

Operation ival-pow, time spent: 34.0ms, 72.0% of total-time

Operation ival-mult, time spent: 10.0ms, 21.0% of total-time

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

series68.0ms (1.6%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	x	@	0	(.f64 (pow.f64 2 1/8) (.f64 (pow.f64 2 1/8) (*.f64 x (pow.f64 4 1/8))))
21.0ms	x	@	0	(.f64 (pow.f64 2 1/8) (.f64 x (pow.f64 4 1/8)))
20.0ms	x	@	0	(*.f64 x (pow.f64 4 1/8))
1.0ms	x	@	inf	(.f64 (pow.f64 2 1/8) (.f64 (pow.f64 2 1/8) (*.f64 x (pow.f64 4 1/8))))
1.0ms	x	@	-inf	(.f64 (pow.f64 2 1/8) (.f64 (pow.f64 2 1/8) (*.f64 x (pow.f64 4 1/8))))

rewrite88.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1262×	`unpow-prod-down`
808×	`prod-exp`
732×	`log-prod`
606×	`pow-prod-down`
537×	`log1p-expm1-u`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	84
1	141	54
2	1663	48

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

Inputs
(.f64 (pow.f64 2 1/8) (.f64 (pow.f64 2 1/8) (*.f64 x (pow.f64 4 1/8))))
(.f64 (pow.f64 2 1/8) (.f64 x (pow.f64 4 1/8)))
(*.f64 x (pow.f64 4 1/8))

Outputs
(+.f64 0 (*.f64 (pow.f64 2 1/2) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 2 1/2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 2 1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 2 1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 2 1/2)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 2 1/2) x))) 1)
(pow.f64 (*.f64 (pow.f64 2 1/2) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 2 1/2) x)) 3)
(pow.f64 (*.f64 (pow.f64 4 1/2) (pow.f64 x 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 2 1/2) x) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 4 1/2) (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 2 1/2)) x))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 2 1/2) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 2 1/2) x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 2 1/2) x)))
(exp.f64 (log.f64 (*.f64 (pow.f64 2 1/2) x)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 2 1/2) x)) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 2 1/2) x))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (pow.f64 2 1/2) x) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 2 1/4) (sqrt.f64 x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 2 1/2) x)) 1) 1))
(exp.f64 (+.f64 (.f64 1/8 (log.f64 2)) (.f64 (log.f64 (*.f64 x (pow.f64 2 3/8))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/8 (log.f64 2)) 1) (log.f64 (*.f64 x (pow.f64 2 3/8)))))
(exp.f64 (+.f64 (.f64 (.f64 1/8 (log.f64 2)) 1) (.f64 (log.f64 (.f64 x (pow.f64 2 3/8))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 4) 1/16) (log.f64 (.f64 x (pow.f64 2 3/8)))))
(exp.f64 (+.f64 (.f64 (log.f64 4) 1/16) (.f64 (log.f64 (*.f64 x (pow.f64 2 3/8))) 1)))
(exp.f64 (+.f64 (.f64 1/16 (log.f64 16)) (.f64 (log.f64 (*.f64 x (pow.f64 2 1/4))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/16 (log.f64 16)) 1) (log.f64 (*.f64 x (pow.f64 2 1/4)))))
(exp.f64 (+.f64 (.f64 (.f64 1/16 (log.f64 16)) 1) (.f64 (log.f64 (.f64 x (pow.f64 2 1/4))) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 x (pow.f64 2 1/4))) (.f64 (*.f64 1/16 (log.f64 16)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (pow.f64 2 1/4))) 1) (*.f64 1/16 (log.f64 16))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (pow.f64 2 1/4))) 1) (.f64 (.f64 1/16 (log.f64 16)) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 x (pow.f64 2 3/8))) (.f64 (*.f64 1/8 (log.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 x (pow.f64 2 3/8))) (.f64 (log.f64 4) 1/16)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (pow.f64 2 3/8))) 1) (*.f64 1/8 (log.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (pow.f64 2 3/8))) 1) (.f64 (.f64 1/8 (log.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (pow.f64 2 3/8))) 1) (*.f64 (log.f64 4) 1/16)))
(exp.f64 (+.f64 (.f64 1/8 (log.f64 16)) (.f64 (log.f64 x) 1)))
(+.f64 0 (*.f64 x (pow.f64 2 3/8)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 2 3/8)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 2 3/8)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 2 3/8)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 2 3/8)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 2 3/8)))) 1)
(pow.f64 (*.f64 x (pow.f64 2 3/8)) 1)
(pow.f64 (*.f64 (pow.f64 2 1/8) (cbrt.f64 x)) 3)
(pow.f64 (*.f64 (pow.f64 2 3/4) (pow.f64 x 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (pow.f64 2 3/8)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 2 3/16)) 2)
(sqrt.f64 (*.f64 (pow.f64 2 3/4) (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 2 3/8)) x))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 2 3/8)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 2 3/8))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 2 3/8))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 2 3/8))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 2 3/8))) 1))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 2 1/8) (cbrt.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (pow.f64 2 3/8)))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) (pow.f64 2 3/16))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 2 3/8))) 1) 1))
(exp.f64 (+.f64 (.f64 1/8 (log.f64 2)) (.f64 (log.f64 (*.f64 x (pow.f64 2 1/4))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/8 (log.f64 2)) 1) (log.f64 (*.f64 x (pow.f64 2 1/4)))))
(exp.f64 (+.f64 (.f64 (.f64 1/8 (log.f64 2)) 1) (.f64 (log.f64 (.f64 x (pow.f64 2 1/4))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 4) 1/16) (log.f64 (.f64 x (pow.f64 2 1/4)))))
(exp.f64 (+.f64 (.f64 (log.f64 4) 1/16) (.f64 (log.f64 (*.f64 x (pow.f64 2 1/4))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (pow.f64 2 3/8))))
(exp.f64 (+.f64 (.f64 (.f64 1/16 (log.f64 16)) 1) (log.f64 (*.f64 (pow.f64 2 1/8) x))))
(exp.f64 (+.f64 (log.f64 (.f64 x (pow.f64 2 1/4))) (.f64 (*.f64 1/8 (log.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 x (pow.f64 2 1/4))) (.f64 (log.f64 4) 1/16)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (pow.f64 2 1/4))) 1) (*.f64 1/8 (log.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (pow.f64 2 1/4))) 1) (.f64 (.f64 1/8 (log.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (pow.f64 2 1/4))) 1) (*.f64 (log.f64 4) 1/16)))
(exp.f64 (+.f64 (log.f64 (pow.f64 2 3/8)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 (pow.f64 2 1/8) x)) (.f64 (*.f64 1/16 (log.f64 16)) 1)))
(+.f64 0 (*.f64 x (pow.f64 2 1/4)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 2 1/4)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 2 1/4)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 2 1/4)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 2 1/4)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 2 1/4)))) 1)
(pow.f64 (*.f64 x (pow.f64 2 1/4)) 1)
(pow.f64 (*.f64 (pow.f64 2 1/12) (cbrt.f64 x)) 3)
(pow.f64 (*.f64 (pow.f64 2 1/2) (pow.f64 x 2)) 1/2)
(pow.f64 (*.f64 (pow.f64 2 3/4) (pow.f64 x 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 2 1/8) (sqrt.f64 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 2 1/2) (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 2 1/4)) x))
(cbrt.f64 (*.f64 (pow.f64 2 3/4) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 2 1/4))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 2 1/4))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 2 1/4))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 2 1/4))) 1))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 2 1/12) (cbrt.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (pow.f64 2 1/4)))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 2 1/8) (sqrt.f64 x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 2 1/4))) 1) 1))
(exp.f64 (+.f64 (.f64 (.f64 1/8 (log.f64 2)) 1) (log.f64 (*.f64 (pow.f64 2 1/8) x))))
(exp.f64 (+.f64 (.f64 (log.f64 4) 1/16) (log.f64 (.f64 (pow.f64 2 1/8) x))))
(exp.f64 (+.f64 (log.f64 x) (.f64 (.f64 1/16 (log.f64 16)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 1/16 (log.f64 16))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (*.f64 1/16 (log.f64 16)) 1)))
(exp.f64 (+.f64 (.f64 1/16 (log.f64 16)) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/16 (log.f64 16)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (.f64 1/16 (log.f64 16)) 1) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 (pow.f64 2 1/8) x)) (.f64 (*.f64 1/8 (log.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 (pow.f64 2 1/8) x)) (.f64 (log.f64 4) 1/16)))

eval60.0ms (1.4%)

Compiler: Compiled 1807 to 1648 computations (8.8% saved)

prune18.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	0	0	0
Picked	1	0	1
Done	2	4	6
Total	139	5	144

Accuracy

100.0%

Counts

144 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
	99.6%	(.f64 (pow.f64 2 1/8) (.f64 (pow.f64 8 1/8) x))
✓	99.5%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 2) x)
✓	56.8%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 165 to 129 computations (21.8% saved)

regimes33.0ms (0.8%)

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(.f64 (pow.f64 2 1/8) (.f64 (pow.f64 8 1/8) x))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(pow.f64 (*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) 2)
(.f64 (pow.f64 x 1/4) (sqrt.f64 (.f64 2 (pow.f64 x 3/2))))
(.f64 (sqrt.f64 (.f64 (*.f64 2 x) (sqrt.f64 x))) (pow.f64 x 1/4))
(.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 (.f64 x (.f64 x (sqrt.f64 2)))))
(.f64 (pow.f64 2 1/8) (.f64 (pow.f64 2 1/8) (*.f64 x (pow.f64 4 1/8))))
(.f64 (sqrt.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 4))) (cbrt.f64 x))
(.f64 (.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))

Outputs
(.f64 (pow.f64 2 1/8) (.f64 (pow.f64 8 1/8) x))

Calls

4 calls:

14.0ms	(.f64 2 (.f64 x x))
8.0ms	x
5.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
5.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(sqrt.f64 (.f64 2 (.f64 x x)))`
99.6%	1	`(.f64 2 (.f64 x x))`
99.6%	1	`(*.f64 x x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes12.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))

Outputs
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))

Calls

4 calls:

3.0ms	x
3.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
3.0ms	(.f64 2 (.f64 x x))
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(sqrt.f64 (.f64 2 (.f64 x x)))`
99.5%	1	`(.f64 2 (.f64 x x))`
99.5%	1	`(*.f64 x x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes13.0ms (0.3%)

Accuracy

Total -27.4b remaining (-6263.4%)

Threshold costs -27.4b (-6263.4%)

Stop Event

1×

fuel

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(sqrt.f64 (.f64 2 (.f64 x x)))

Outputs
(*.f64 (sqrt.f64 2) x)

Calls

4 calls:

4.0ms	(*.f64 x x)
3.0ms	x
2.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
2.0ms	(.f64 2 (.f64 x x))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(sqrt.f64 (.f64 2 (.f64 x x)))`
99.3%	1	`(.f64 2 (.f64 x x))`
99.3%	1	`(*.f64 x x)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

soundness528.0ms (12.2%)

Rules

1616×	`log-prod`
1216×	`log-prod`
902×	`unpow-prod-down`
870×	`log1p-expm1-u`
870×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	295
1	384	171
2	4556	171
0	10	36
1	89	30
2	981	30
0	24	247
1	337	170
2	3334	170

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 384 to 317 computations (17.4% saved)

end0.0ms (0%)

preprocess43.0ms (1%)

Compiler: Compiled 96 to 80 computations (16.7% saved)

analyze0.0ms (0%)

sample979.0ms (22.6%)

preprocess126.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize35.0ms (0.8%)

series5.0ms (0.1%)

rewrite190.0ms (4.4%)

eval80.0ms (1.9%)

prune18.0ms (0.4%)

localize238.0ms (5.5%)

series140.0ms (3.2%)

rewrite238.0ms (5.5%)

eval168.0ms (3.9%)

prune56.0ms (1.3%)

localize646.0ms (14.9%)

series116.0ms (2.7%)

rewrite172.0ms (4%)

eval137.0ms (3.2%)

prune34.0ms (0.8%)

localize92.0ms (2.1%)

series68.0ms (1.6%)

rewrite88.0ms (2%)

eval60.0ms (1.4%)

prune18.0ms (0.4%)

regimes33.0ms (0.8%)

regimes12.0ms (0.3%)

regimes13.0ms (0.3%)

soundness528.0ms (12.2%)

end0.0ms (0%)

preprocess43.0ms (1%)

Profiling