Details

analyze322.0ms (4.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0.2%	99.8%	0
0%	0.2%	99.8%	1
0%	0.2%	99.8%	2
0.1%	0.1%	99.8%	3
0.1%	0.1%	99.8%	4
0.1%	0%	99.8%	5
0.1%	0%	99.8%	6
0.1%	0%	99.8%	7
0.1%	0%	99.8%	8
0.2%	0%	99.8%	9
0.2%	0%	99.8%	10
0.2%	0%	99.8%	11
0.2%	0%	99.8%	12
0.2%	0%	99.8%	13
0.2%	0%	99.8%	14

Compiler

Compiled 20 to 15 computations (25% saved)

sample43.0ms (0.6%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
6.0ms	256×	pre	128	true

Compiler

Compiled 33 to 25 computations (24.2% saved)

simplify27.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

88×	`cancel-sign-sub-inv_binary32`
79×	`distribute-rgt-in_binary32`
67×	`distribute-lft-in_binary32`
53×	`sub-neg_binary32`
41×	`unsub-neg_binary32`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	22	14
2	42	14
3	75	14
4	82	14
5	98	14
6	129	14
7	171	14
8	284	14
9	315	14
10	303	14
11	379	14
12	375	14
13	391	14
14	389	14
15	334	14

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

14.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	14.7b	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))

Compiler

Compiled 33 to 24 computations (27.3% saved)

localize30.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.3b	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
14.8b	(log.f32 (-.f32 1 u0))

rewrite59.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

9.3b

Rules

18×	`log-prod_binary32`
15×	`*-un-lft-identity_binary32`
15×	`add-sqr-sqrt_binary32`
9×	`pow1_binary32`
8×	`add-exp-log_binary32`

Counts

2 → 49

Calls

2 calls:

6.0ms	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
3.0ms	(log.f32 (-.f32 1 u0))

Compiler

Compiled 744 to 417 computations (44% saved)

series63.0ms (0.9%)

Error

0.4b

Counts

2 → 15

Calls

2 calls:

33.0ms	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
15.0ms	(log.f32 (-.f32 1 u0))

Compiler

Compiled 559 to 422 computations (24.5% saved)

simplify155.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

715×	`unsub-neg_binary32`
493×	`neg-sub0_binary32`
492×	`neg-mul-1_binary32`
320×	`*-commutative_binary32`
291×	`sqr-pow_binary32`

Counts

64 → 52

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	131	1185
1	314	1048
2	1102	1020
3	2644	1020
4	3752	1018
5	4515	1018
6	4946	1012
7	4989	1012
8	4819	1012

prune65.0ms (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	40	12	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	12	53

Error

0.3b

Counts

53 → 12

Alt Table

Status	Error	Program
	14.6b	(.f32 (.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (.f32 alpha (neg.f32 alpha))) (cbrt.f32 (log.f32 (-.f32 1 u0))))
	7.7b	(.f32 u0 (.f32 alpha alpha))
	11.0b	(+.f32 (.f32 (log.f32 (+.f32 1 (sqrt.f32 u0))) (.f32 alpha (neg.f32 alpha))) (.f32 (log.f32 (-.f32 1 (sqrt.f32 u0))) (.f32 alpha (neg.f32 alpha))))
	3.8b	(.f32 (.f32 (neg.f32 alpha) alpha) (.f32 u0 (-.f32 -1 (.f32 u0 1/2))))
	16.0b	(.f32 (.f32 (neg.f32 alpha) alpha) (+.f32 (*.f32 2 (log.f32 (cbrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0)))))
	15.5b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (*.f32 u0 u0))) (log.f32 (+.f32 u0 1))))
	15.6b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log.f32 (+.f32 1 (+.f32 u0 (*.f32 u0 u0))))))
▶	1.9b	(.f32 (.f32 alpha alpha) (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4)))))
	15.4b	(+.f32 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 alpha (neg.f32 alpha))) (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 alpha (neg.f32 alpha))))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (.f32 alpha alpha)))) (sqrt.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (*.f32 alpha alpha)))))
	14.7b	(.f32 (.f32 (cbrt.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (.f32 alpha alpha)))) (cbrt.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (.f32 alpha alpha))))) (cbrt.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (.f32 alpha alpha)))))
	14.7b	(exp.f32 (log.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (.f32 alpha alpha)))))

Compiler

Compiled 972 to 611 computations (37.1% saved)

localize59.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.1b	(+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4)))
0.3b	(*.f32 u0 1/3)
0.3b	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))
0.3b	(.f32 (.f32 alpha alpha) (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4)))))

rewrite172.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-cbrt-cube_binary32`
16×	`add-exp-log_binary32`
16×	`pow1_binary32`
12×	`add-sqr-sqrt_binary32`
10×	`associate-r_binary32`

Counts

4 → 78

Calls

4 calls:

13.0ms	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))
10.0ms	(.f32 (.f32 alpha alpha) (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4)))))
6.0ms	(+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4)))
3.0ms	(*.f32 u0 1/3)

Compiler

Compiled 2352 to 1450 computations (38.4% saved)

series95.0ms (1.4%)

Error

0.3b

Counts

4 → 23

Calls

4 calls:

42.0ms	(.f32 (.f32 alpha alpha) (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4)))))
13.0ms	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))
10.0ms	(+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4)))
9.0ms	(*.f32 u0 1/3)

Compiler

Compiled 1047 to 777 computations (25.8% saved)

simplify117.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

336×	`associate-l_binary32`
264×	`exp-prod_binary32`
262×	`associate-r_binary32`
199×	`associate-+r+_binary32`
198×	`sub-neg_binary32`

Counts

101 → 74

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	2234
1	476	2002
2	1852	1978
3	3959	1978
4	4961	1978
5	4927	1978

prune131.0ms (1.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	67	7	74
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	69	17	86

Error

0.0b

Counts

86 → 17

Alt Table

Status	Error	Program
	1.9b	(.f32 alpha (.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))) alpha))
	14.6b	(.f32 (.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (.f32 alpha (neg.f32 alpha))) (cbrt.f32 (log.f32 (-.f32 1 u0))))
	4.9b	(.f32 (.f32 alpha alpha) (+.f32 u0 (log.f32 (pow.f32 (exp.f32 (.f32 u0 u0)) (+.f32 (.f32 1/4 (.f32 u0 u0)) (+.f32 1/2 (.f32 u0 1/3)))))))
	2.0b	(/.f32 (.f32 (.f32 alpha alpha) (-.f32 (.f32 u0 u0) (.f32 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))))) (-.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4)))))
▶	1.9b	(+.f32 (.f32 u0 (.f32 alpha alpha)) (.f32 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) (.f32 alpha alpha)))
	11.0b	(+.f32 (.f32 (log.f32 (+.f32 1 (sqrt.f32 u0))) (.f32 alpha (neg.f32 alpha))) (.f32 (log.f32 (-.f32 1 (sqrt.f32 u0))) (.f32 alpha (neg.f32 alpha))))
	3.8b	(.f32 (.f32 (neg.f32 alpha) alpha) (.f32 u0 (-.f32 -1 (.f32 u0 1/2))))
	16.0b	(.f32 (.f32 (neg.f32 alpha) alpha) (+.f32 (*.f32 2 (log.f32 (cbrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0)))))
	15.5b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (*.f32 u0 u0))) (log.f32 (+.f32 u0 1))))
	15.6b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log.f32 (+.f32 1 (+.f32 u0 (*.f32 u0 u0))))))
	2.1b	(.f32 (.f32 alpha (.f32 alpha (sqrt.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))))))) (sqrt.f32 (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (*.f32 1/4 (pow.f32 u0 4))))))
	2.3b	(.f32 (.f32 (.f32 alpha alpha) (.f32 (cbrt.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))))) (cbrt.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))))))) (cbrt.f32 (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4))))))
	2.1b	(.f32 (.f32 alpha (sqrt.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))))) (.f32 alpha (sqrt.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (*.f32 u0 1/3)))))))))
	15.4b	(+.f32 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 alpha (neg.f32 alpha))) (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 alpha (neg.f32 alpha))))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (.f32 alpha alpha)))) (sqrt.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (*.f32 alpha alpha)))))
	14.7b	(.f32 (.f32 (cbrt.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (.f32 alpha alpha)))) (cbrt.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (.f32 alpha alpha))))) (cbrt.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (.f32 alpha alpha)))))
	14.7b	(exp.f32 (log.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (.f32 alpha alpha)))))

Compiler

Compiled 2399 to 1603 computations (33.2% saved)

localize64.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.2b	(.f32 u0 (.f32 alpha alpha))
0.3b	(*.f32 u0 1/3)
0.3b	(.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))
0.4b	(.f32 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) (.f32 alpha alpha))

rewrite176.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`add-cbrt-cube_binary32`
25×	`add-exp-log_binary32`
25×	`pow1_binary32`
14×	`add-sqr-sqrt_binary32`
13×	`cbrt-unprod_binary32`

Counts

4 → 83

Calls

4 calls:

20.0ms	(.f32 u0 (.f32 alpha alpha))
8.0ms	(.f32 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) (.f32 alpha alpha))
4.0ms	(.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))
3.0ms	(*.f32 u0 1/3)

Compiler

Compiled 2500 to 1405 computations (43.8% saved)

series102.0ms (1.5%)

Error

0.0b

Counts

4 → 23

Calls

4 calls:

45.0ms	(.f32 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) (.f32 alpha alpha))
20.0ms	(.f32 u0 (.f32 alpha alpha))
15.0ms	(.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))
7.0ms	(*.f32 u0 1/3)

Compiler

Compiled 1353 to 911 computations (32.7% saved)

simplify84.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

484×	`associate-+l+_binary32`
469×	`unswap-sqr_binary32`
342×	`associate-l_binary32`
297×	`associate-r_binary32`
201×	`exp-prod_binary32`

Counts

106 → 70

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	2026
1	428	1560
2	1654	1560
3	2731	1558
4	5136	1558

prune101.0ms (1.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	16	16
Picked	0	1	1
Done	0	0	0
Total	70	17	87

Error

0.0b

Counts

87 → 17

Alt Table

Status	Error	Program
▶	1.9b	(.f32 alpha (.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))) alpha))
	14.6b	(.f32 (.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (.f32 alpha (neg.f32 alpha))) (cbrt.f32 (log.f32 (-.f32 1 u0))))
	4.9b	(.f32 (.f32 alpha alpha) (+.f32 u0 (log.f32 (pow.f32 (exp.f32 (.f32 u0 u0)) (+.f32 (.f32 1/4 (.f32 u0 u0)) (+.f32 1/2 (.f32 u0 1/3)))))))
	2.0b	(/.f32 (.f32 (.f32 alpha alpha) (-.f32 (.f32 u0 u0) (.f32 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))))) (-.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4)))))
✓	1.9b	(+.f32 (.f32 u0 (.f32 alpha alpha)) (.f32 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) (.f32 alpha alpha)))
	11.0b	(+.f32 (.f32 (log.f32 (+.f32 1 (sqrt.f32 u0))) (.f32 alpha (neg.f32 alpha))) (.f32 (log.f32 (-.f32 1 (sqrt.f32 u0))) (.f32 alpha (neg.f32 alpha))))
	3.8b	(.f32 (.f32 (neg.f32 alpha) alpha) (.f32 u0 (-.f32 -1 (.f32 u0 1/2))))
	16.0b	(.f32 (.f32 (neg.f32 alpha) alpha) (+.f32 (*.f32 2 (log.f32 (cbrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0)))))
	15.5b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (*.f32 u0 u0))) (log.f32 (+.f32 u0 1))))
	15.6b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log.f32 (+.f32 1 (+.f32 u0 (*.f32 u0 u0))))))
	2.1b	(.f32 (.f32 alpha (.f32 alpha (sqrt.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))))))) (sqrt.f32 (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (*.f32 1/4 (pow.f32 u0 4))))))
	2.3b	(.f32 (.f32 (.f32 alpha alpha) (.f32 (cbrt.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))))) (cbrt.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))))))) (cbrt.f32 (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4))))))
	2.1b	(.f32 (.f32 alpha (sqrt.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))))) (.f32 alpha (sqrt.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (*.f32 u0 1/3)))))))))
	15.4b	(+.f32 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 alpha (neg.f32 alpha))) (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 alpha (neg.f32 alpha))))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (.f32 alpha alpha)))) (sqrt.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (*.f32 alpha alpha)))))
	14.7b	(.f32 (.f32 (cbrt.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (.f32 alpha alpha)))) (cbrt.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (.f32 alpha alpha))))) (cbrt.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (.f32 alpha alpha)))))
	14.7b	(exp.f32 (log.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (.f32 alpha alpha)))))

Compiler

Compiled 2022 to 1248 computations (38.3% saved)

localize56.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.2b	(.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))
0.3b	(.f32 alpha (.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))) alpha))
0.3b	(*.f32 u0 1/3)
0.3b	(.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))

rewrite173.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary32`
15×	`add-cbrt-cube_binary32`
15×	`add-exp-log_binary32`
15×	`pow1_binary32`
12×	`associate-l_binary32`

Counts

4 → 82

Calls

4 calls:

6.0ms	(.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))
5.0ms	(.f32 alpha (.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))) alpha))
4.0ms	(.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))
3.0ms	(*.f32 u0 1/3)

Compiler

Compiled 2387 to 1646 computations (31% saved)

series92.0ms (1.3%)

Error

0.0b

Counts

4 → 23

Calls

4 calls:

39.0ms	(.f32 alpha (.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))) alpha))
14.0ms	(.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))
13.0ms	(.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))
9.0ms	(*.f32 u0 1/3)

Compiler

Compiled 1053 to 778 computations (26.1% saved)

simplify117.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

378×	`cancel-sign-sub-inv_binary32`
317×	`unswap-sqr_binary32`
295×	`associate-l_binary32`
281×	`exp-prod_binary32`
264×	`associate-r_binary32`

Counts

105 → 74

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	2209
1	472	1956
2	1776	1950
3	3291	1945
4	4940	1945
5	5041	1945

prune114.0ms (1.7%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	3	12	15
Picked	0	1	1
Done	0	1	1
Total	75	16	91

Error

0.0b

Counts

91 → 16

Alt Table

Status	Error	Program
	1.9b	(.f32 alpha (.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))) alpha))
	14.6b	(.f32 (.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (.f32 alpha (neg.f32 alpha))) (cbrt.f32 (log.f32 (-.f32 1 u0))))
	1.9b	(+.f32 (.f32 u0 (.f32 alpha alpha)) (.f32 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) (.f32 alpha alpha)))
	11.0b	(+.f32 (.f32 (log.f32 (+.f32 1 (sqrt.f32 u0))) (.f32 alpha (neg.f32 alpha))) (.f32 (log.f32 (-.f32 1 (sqrt.f32 u0))) (.f32 alpha (neg.f32 alpha))))
	16.0b	(.f32 (.f32 (neg.f32 alpha) alpha) (+.f32 (*.f32 2 (log.f32 (cbrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0)))))
	15.5b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (*.f32 u0 u0))) (log.f32 (+.f32 u0 1))))
	15.6b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log.f32 (+.f32 1 (+.f32 u0 (*.f32 u0 u0))))))
	2.0b	(/.f32 (.f32 alpha (.f32 alpha (-.f32 (.f32 u0 u0) (.f32 (pow.f32 u0 4) (.f32 (+.f32 (.f32 1/4 (.f32 u0 u0)) (+.f32 1/2 (.f32 u0 1/3))) (+.f32 (.f32 1/4 (.f32 u0 u0)) (+.f32 1/2 (.f32 u0 1/3)))))))) (-.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (*.f32 u0 1/3)))))))
	2.0b	(/.f32 (.f32 alpha (.f32 alpha (+.f32 (pow.f32 u0 3) (pow.f32 (.f32 (.f32 u0 u0) (+.f32 (.f32 1/4 (.f32 u0 u0)) (+.f32 1/2 (.f32 u0 1/3)))) 3)))) (+.f32 (.f32 u0 u0) (-.f32 (.f32 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))) (.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))))))
	2.3b	(.f32 (.f32 (.f32 alpha alpha) (.f32 (cbrt.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))))) (cbrt.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))))))) (cbrt.f32 (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4))))))
	4.9b	(.f32 (.f32 alpha alpha) (+.f32 u0 (log.f32 (pow.f32 (exp.f32 (.f32 u0 u0)) (+.f32 (.f32 1/4 (.f32 u0 u0)) (+.f32 1/2 (.f32 u0 1/3)))))))
	2.1b	(.f32 (.f32 alpha (sqrt.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))))) (.f32 alpha (sqrt.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (*.f32 u0 1/3)))))))))
	15.4b	(+.f32 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 alpha (neg.f32 alpha))) (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 alpha (neg.f32 alpha))))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (.f32 alpha alpha)))) (sqrt.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (*.f32 alpha alpha)))))
	14.7b	(.f32 (.f32 (cbrt.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (.f32 alpha alpha)))) (cbrt.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (.f32 alpha alpha))))) (cbrt.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (.f32 alpha alpha)))))
	14.7b	(exp.f32 (log.f32 (neg.f32 (.f32 (log.f32 (-.f32 1 u0)) (.f32 alpha alpha)))))

Compiler

Compiled 1986 to 1270 computations (36.1% saved)

regimes2.6s (37.4%)

Accuracy

Total 0.4b remaining (83.4%)

Threshold costs 0.4b (83.4%)

Compiler

Compiled 36229 to 24841 computations (31.4% saved)

bsearch9.0ms (0.1%)

Compiler: Compiled 5 to 4 computations (20% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary32`
11×	`+-commutative_binary32`
9×	`neg-sub0_binary32`
9×	`neg-mul-1_binary32`
8×	`sub-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	95
1	51	95
2	62	95
3	75	95
4	87	95
5	94	95
6	98	95
7	99	95
8	98	95

end3.0ms (0%)

Compiler: Compiled 63 to 47 computations (25.4% saved)

sample1.8s (26.9%)

Algorithm

1×

intervals

Results

552.0ms	8000×	body	128	valid
171.0ms	8000×	pre	128	true

Compiler

Compiled 601 to 424 computations (29.5% saved)

Iter	Nodes	Cost
0	9	14
1	22	14
2	42	14
3	75	14
4	82	14
5	98	14
6	129	14
7	171	14
8	284	14
9	315	14
10	303	14
11	379	14
12	375	14
13	391	14
14	389	14
15	334	14

Iter	Nodes	Cost
0	9	14
1	22	14
2	42	14
3	75	14
4	82	14
5	98	14
6	129	14
7	171	14
8	284	14
9	315	14
10	303	14
11	379	14
12	375	14
13	391	14
14	389	14
15	334	14

Details

analyze322.0ms (4.7%)

sample43.0ms (0.6%)

simplify27.0ms (0.4%)

prune3.0ms (0%)

localize30.0ms (0.4%)

rewrite59.0ms (0.9%)

series63.0ms (0.9%)

simplify155.0ms (2.3%)

prune65.0ms (0.9%)

localize59.0ms (0.9%)

rewrite172.0ms (2.5%)

series95.0ms (1.4%)

simplify117.0ms (1.7%)

prune131.0ms (1.9%)

localize64.0ms (0.9%)

rewrite176.0ms (2.6%)

series102.0ms (1.5%)

simplify84.0ms (1.2%)

prune101.0ms (1.5%)

localize56.0ms (0.8%)

rewrite173.0ms (2.5%)

series92.0ms (1.3%)

simplify117.0ms (1.7%)

prune114.0ms (1.7%)

regimes2.6s (37.4%)

bsearch9.0ms (0.1%)

simplify7.0ms (0.1%)

end3.0ms (0%)

sample1.8s (26.9%)

Profiling

Iter	Nodes	Cost
0	9	14
1	22	14
2	42	14
3	75	14
4	82	14
5	98	14
6	129	14
7	171	14
8	284	14
9	315	14
10	303	14
11	379	14
12	375	14
13	391	14
14	389	14
15	334	14