Details

analyze338.0ms (3.6%)

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)

sample46.0ms (0.5%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
6.0ms	256×	pre	128	true

Compiler

Compiled 33 to 25 computations (24.2% saved)

simplify31.0ms (0.3%)

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

14.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	14.4b	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))

Compiler

Compiled 33 to 24 computations (27.3% saved)

localize32.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.3b	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
14.5b	(log.f32 (-.f32 1 u0))

rewrite60.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

10.2b

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:

7.0ms	(.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)

series56.0ms (0.6%)

Error

0.3b

Counts

2 → 15

Calls

2 calls:

28.0ms	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
10.0ms	(log.f32 (-.f32 1 u0))

Compiler

Compiled 559 to 422 computations (24.5% saved)

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Rules

807×	`unsub-neg_binary32`
412×	`neg-sub0_binary32`
401×	`unswap-sqr_binary32`
397×	`neg-mul-1_binary32`
373×	`distribute-rgt-in_binary32`

Counts

64 → 51

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	1217
1	347	1066
2	1325	1050
3	3411	1050
4	3574	1050
5	4857	1050

prune56.0ms (0.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	41	10	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	11	52

Error

0.2b

Counts

52 → 11

Alt Table

Status	Error	Program
	15.3b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (*.f32 u0 u0))) (log.f32 (+.f32 u0 1))))
	11.6b	(+.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (log.f32 (+.f32 1 (sqrt.f32 u0)))) (.f32 (.f32 alpha (neg.f32 alpha)) (log.f32 (-.f32 1 (sqrt.f32 u0)))))
	15.4b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log.f32 (+.f32 1 (+.f32 u0 (*.f32 u0 u0))))))
	7.7b	(.f32 alpha (.f32 alpha u0))
	15.2b	(+.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (log.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (.f32 alpha (neg.f32 alpha)) (log.f32 (sqrt.f32 (-.f32 1 u0)))))
▶	1.9b	(.f32 (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4)))) (.f32 alpha alpha))
	16.0b	(+.f32 (.f32 (.f32 alpha (.f32 alpha (log.f32 (cbrt.f32 (-.f32 1 u0))))) -2) (.f32 (*.f32 alpha (neg.f32 alpha)) (log.f32 (cbrt.f32 (-.f32 1 u0)))))
	3.7b	(.f32 alpha (.f32 alpha (+.f32 u0 (.f32 1/2 (.f32 u0 u0)))))
	14.5b	(exp.f32 (log.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (log.f32 (-.f32 1 u0)))))
✓	14.4b	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
	14.5b	(.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0))))) (cbrt.f32 (log.f32 (-.f32 1 u0))))

Compiler

Compiled 792 to 499 computations (37% saved)

localize59.0ms (0.6%)

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

rewrite160.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

16×	`add-cbrt-cube_binary32`
16×	`add-exp-log_binary32`
16×	`pow1_binary32`
12×	`add-sqr-sqrt_binary32`
10×	`*-un-lft-identity_binary32`

Counts

4 → 76

Calls

4 calls:

12.0ms	(.f32 (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4)))) (.f32 alpha alpha))
7.0ms	(+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4)))
6.0ms	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))
3.0ms	(*.f32 u0 1/3)

Compiler

Compiled 2279 to 1410 computations (38.1% saved)

series90.0ms (1%)

Error

0.2b

Counts

4 → 23

Calls

4 calls:

41.0ms	(.f32 (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4)))) (.f32 alpha alpha))
14.0ms	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))
11.0ms	(+.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)

simplify138.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

290×	`associate-l_binary32`
252×	`exp-prod_binary32`
242×	`associate-+r+_binary32`
242×	`associate-+l+_binary32`
234×	`associate-r_binary32`

Counts

99 → 76

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	2738
1	478	2185
2	1852	2161
3	4272	2161
4	5012	2161

prune126.0ms (1.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	69	7	76
Fresh	3	6	9
Picked	1	0	1
Done	0	1	1
Total	73	14	87

Error

0.1b

Counts

87 → 14

Alt Table

Status	Error	Program
	2.0b	(.f32 (sqrt.f32 (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4))))) (.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))))))))))
	4.2b	(cbrt.f32 (.f32 (pow.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (*.f32 u0 1/3)))))) 3) (pow.f32 alpha 6)))
	14.5b	(.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0))))) (cbrt.f32 (log.f32 (-.f32 1 u0))))
	15.3b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (*.f32 u0 u0))) (log.f32 (+.f32 u0 1))))
	2.3b	(.f32 (.f32 (cbrt.f32 (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4))))) (cbrt.f32 (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4)))))) (.f32 (.f32 alpha alpha) (cbrt.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))))))
▶	1.9b	(.f32 alpha (.f32 alpha (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))))))
	11.6b	(+.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (log.f32 (+.f32 1 (sqrt.f32 u0)))) (.f32 (.f32 alpha (neg.f32 alpha)) (log.f32 (-.f32 1 (sqrt.f32 u0)))))
	15.4b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log.f32 (+.f32 1 (+.f32 u0 (*.f32 u0 u0))))))
	15.2b	(+.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (log.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (.f32 alpha (neg.f32 alpha)) (log.f32 (sqrt.f32 (-.f32 1 u0)))))
	2.0b	(/.f32 (.f32 (.f32 alpha alpha) (+.f32 (pow.f32 u0 3) (pow.f32 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) 3))) (+.f32 (.f32 u0 u0) (-.f32 (.f32 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4))) (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4)))) (.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (*.f32 1/4 (pow.f32 u0 4)))))))
	16.0b	(+.f32 (.f32 (.f32 alpha (.f32 alpha (log.f32 (cbrt.f32 (-.f32 1 u0))))) -2) (.f32 (*.f32 alpha (neg.f32 alpha)) (log.f32 (cbrt.f32 (-.f32 1 u0)))))
	2.1b	(.f32 (sqrt.f32 (.f32 alpha (.f32 alpha (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))))))) (sqrt.f32 (.f32 alpha (.f32 alpha (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (*.f32 u0 1/3))))))))))
✓	14.4b	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
	2.3b	(.f32 (.f32 (cbrt.f32 (.f32 alpha (.f32 alpha (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))))))) (cbrt.f32 (.f32 alpha (.f32 alpha (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))))))) (cbrt.f32 (.f32 alpha (.f32 alpha (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))))))))

Compiler

Compiled 2357 to 1598 computations (32.2% saved)

localize61.0ms (0.7%)

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

rewrite192.0ms (2.1%)

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 → 86

Calls

4 calls:

7.0ms	(.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))
5.0ms	(.f32 alpha (.f32 alpha (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))))))
5.0ms	(.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))
3.0ms	(*.f32 u0 1/3)

Compiler

Compiled 2487 to 1707 computations (31.4% saved)

series95.0ms (1%)

Error

0.1b

Counts

4 → 23

Calls

4 calls:

43.0ms	(.f32 alpha (.f32 alpha (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))))))
15.0ms	(.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))
14.0ms	(.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))
7.0ms	(*.f32 u0 1/3)

Compiler

Compiled 1053 to 778 computations (26.1% saved)

simplify109.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

366×	`unswap-sqr_binary32`
339×	`associate-l_binary32`
297×	`associate-r_binary32`
228×	`exp-prod_binary32`
222×	`distribute-lft-in_binary32`

Counts

109 → 75

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	215	2565
1	585	2312
2	2080	2306
3	3802	2304
4	5192	2304

prune125.0ms (1.3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	3	9	12
Picked	0	1	1
Done	0	1	1
Total	75	14	89

Error

0.0b

Counts

89 → 14

Alt Table

Status	Error	Program
▶	1.8b	(+.f32 (.f32 u0 (.f32 alpha alpha)) (.f32 alpha (.f32 alpha (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3)))))))
✓	14.4b	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
	2.0b	(.f32 (sqrt.f32 (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4))))) (.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))))))))))
	4.2b	(cbrt.f32 (.f32 (pow.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (*.f32 u0 1/3)))))) 3) (pow.f32 alpha 6)))
	14.5b	(.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0))))) (cbrt.f32 (log.f32 (-.f32 1 u0))))
	15.3b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (*.f32 u0 u0))) (log.f32 (+.f32 u0 1))))
✓	1.9b	(.f32 alpha (.f32 alpha (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))))))
	11.6b	(+.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (log.f32 (+.f32 1 (sqrt.f32 u0)))) (.f32 (.f32 alpha (neg.f32 alpha)) (log.f32 (-.f32 1 (sqrt.f32 u0)))))
	15.4b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log.f32 (+.f32 1 (+.f32 u0 (*.f32 u0 u0))))))
	15.2b	(+.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (log.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (.f32 alpha (neg.f32 alpha)) (log.f32 (sqrt.f32 (-.f32 1 u0)))))
	2.0b	(.f32 (sqrt.f32 alpha) (.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (pow.f32 alpha 3/2)))
	2.0b	(/.f32 (.f32 alpha (.f32 alpha (.f32 u0 (-.f32 u0 (.f32 u0 (.f32 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))) (+.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 (cbrt.f32 (.f32 alpha (.f32 alpha (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))))))) (cbrt.f32 (.f32 alpha (.f32 alpha (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))))))) (cbrt.f32 (.f32 alpha (.f32 alpha (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))))))))
	16.0b	(+.f32 (.f32 (.f32 alpha (.f32 alpha (log.f32 (cbrt.f32 (-.f32 1 u0))))) -2) (.f32 (*.f32 alpha (neg.f32 alpha)) (log.f32 (cbrt.f32 (-.f32 1 u0)))))

Compiler

Compiled 2068 to 1405 computations (32.1% saved)

localize69.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

rewrite161.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 82

Calls

4 calls:

7.0ms	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))
6.0ms	(.f32 alpha (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))))
4.0ms	(.f32 u0 (.f32 alpha alpha))
3.0ms	(*.f32 u0 1/3)

Compiler

Compiled 2505 to 1411 computations (43.7% saved)

series166.0ms (1.8%)

Error

0.0b

Counts

4 → 23

Calls

4 calls:

78.0ms	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))
42.0ms	(.f32 alpha (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))))
21.0ms	(.f32 u0 (.f32 alpha alpha))
8.0ms	(*.f32 u0 1/3)

Compiler

Compiled 1327 to 904 computations (31.9% saved)

simplify116.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

372×	`associate-l_binary32`
351×	`exp-prod_binary32`
316×	`associate-r_binary32`
271×	`distribute-lft-out_binary32`
178×	`distribute-rgt-out_binary32`

Counts

105 → 75

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	2208
1	486	1922
2	1893	1901
3	3328	1899
4	4755	1899
5	4933	1899

prune103.0ms (1.1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	11	11
Picked	0	1	1
Done	1	1	2
Total	75	14	89

Error

0.0b

Counts

89 → 14

Alt Table

Status	Error	Program
	2.5b	(.f32 alpha (.f32 u0 (+.f32 alpha (.f32 u0 (.f32 alpha (+.f32 1/2 (*.f32 u0 1/3)))))))
	2.0b	(/.f32 (.f32 alpha (.f32 alpha (.f32 u0 (-.f32 u0 (.f32 u0 (.f32 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))) (+.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)))))))
✓	1.8b	(+.f32 (.f32 u0 (.f32 alpha alpha)) (.f32 alpha (.f32 alpha (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3)))))))
✓	14.4b	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
	2.0b	(.f32 (sqrt.f32 (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (.f32 1/4 (pow.f32 u0 4))))) (.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))))))))))
	4.2b	(cbrt.f32 (.f32 (pow.f32 (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (*.f32 u0 1/3)))))) 3) (pow.f32 alpha 6)))
	14.5b	(.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0))))) (cbrt.f32 (log.f32 (-.f32 1 u0))))
	15.3b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (*.f32 u0 u0))) (log.f32 (+.f32 u0 1))))
	11.6b	(+.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (log.f32 (+.f32 1 (sqrt.f32 u0)))) (.f32 (.f32 alpha (neg.f32 alpha)) (log.f32 (-.f32 1 (sqrt.f32 u0)))))
	15.4b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log.f32 (+.f32 1 (+.f32 u0 (*.f32 u0 u0))))))
	15.2b	(+.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (log.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (.f32 alpha (neg.f32 alpha)) (log.f32 (sqrt.f32 (-.f32 1 u0)))))
	2.0b	(.f32 (sqrt.f32 alpha) (.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (pow.f32 alpha 3/2)))
	2.3b	(.f32 (.f32 (cbrt.f32 (.f32 alpha (.f32 alpha (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))))))) (cbrt.f32 (.f32 alpha (.f32 alpha (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))))))) (cbrt.f32 (.f32 alpha (.f32 alpha (+.f32 u0 (.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 3)) (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))))))))
	16.0b	(+.f32 (.f32 (.f32 alpha (.f32 alpha (log.f32 (cbrt.f32 (-.f32 1 u0))))) -2) (.f32 (*.f32 alpha (neg.f32 alpha)) (log.f32 (cbrt.f32 (-.f32 1 u0)))))

Compiler

Compiled 1783 to 1107 computations (37.9% saved)

regimes3.5s (38.1%)

Accuracy

Total 0.4b remaining (80.6%)

Threshold costs 0.4b (80.6%)

Compiler

Compiled 34708 to 24257 computations (30.1% saved)

bsearch18.0ms (0.2%)

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

simplify29.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

98×	`distribute-rgt-neg-in_binary32`
74×	`cancel-sign-sub-inv_binary32`
64×	`distribute-lft-neg-out_binary32`
63×	`distribute-lft-neg-in_binary32`
53×	`neg-sub0_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	94
1	55	90
2	71	90
3	93	90
4	118	90
5	159	90
6	200	90
7	242	90
8	287	90
9	345	90
10	398	90
11	434	90
12	457	90
13	463	90
14	453	90

end6.0ms (0.1%)

Compiler: Compiled 61 to 40 computations (34.4% saved)

sample3.2s (34.6%)

Algorithm

1×

intervals

Results

1.0s	8000×	body	128	valid
316.0ms	8000×	pre	128	true

Compiler

Compiled 494 to 349 computations (29.4% 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	34	94
1	55	90
2	71	90
3	93	90
4	118	90
5	159	90
6	200	90
7	242	90
8	287	90
9	345	90
10	398	90
11	434	90
12	457	90
13	463	90
14	453	90

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	34	94
1	55	90
2	71	90
3	93	90
4	118	90
5	159	90
6	200	90
7	242	90
8	287	90
9	345	90
10	398	90
11	434	90
12	457	90
13	463	90
14	453	90

Details

analyze338.0ms (3.6%)

sample46.0ms (0.5%)

simplify31.0ms (0.3%)

prune3.0ms (0%)

localize32.0ms (0.3%)

rewrite60.0ms (0.6%)

series56.0ms (0.6%)

simplify96.0ms (1%)

prune56.0ms (0.6%)

localize59.0ms (0.6%)

rewrite160.0ms (1.7%)

series90.0ms (1%)

simplify138.0ms (1.5%)

prune126.0ms (1.4%)

localize61.0ms (0.7%)

rewrite192.0ms (2.1%)

series95.0ms (1%)

simplify109.0ms (1.2%)

prune125.0ms (1.3%)

localize69.0ms (0.7%)

rewrite161.0ms (1.7%)

series166.0ms (1.8%)

simplify116.0ms (1.2%)

prune103.0ms (1.1%)

regimes3.5s (38.1%)

bsearch18.0ms (0.2%)

simplify29.0ms (0.3%)

end6.0ms (0.1%)

sample3.2s (34.6%)

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

Iter	Nodes	Cost
0	34	94
1	55	90
2	71	90
3	93	90
4	118	90
5	159	90
6	200	90
7	242	90
8	287	90
9	345	90
10	398	90
11	434	90
12	457	90
13	463	90
14	453	90