Details

analyze703.0ms (5.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	1.5%	98.5%	0
0%	1.5%	98.5%	1
0%	1.5%	98.5%	2
0.8%	0.8%	98.5%	3
0.8%	0.8%	98.5%	4
1.2%	0.4%	98.5%	5
1.2%	0.4%	98.5%	6
1.4%	0.2%	98.5%	7
1.4%	0.2%	98.5%	8
1.4%	0.1%	98.5%	9
1.4%	0.1%	98.5%	10
1.5%	0%	98.5%	11
1.5%	0%	98.5%	12
1.5%	0%	98.5%	13
1.5%	0%	98.5%	14

Compiler

Compiled 21 to 17 computations (19% saved)

sample50.0ms (0.4%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
8.0ms	256×	pre	128	true

Compiler

Compiled 35 to 29 computations (17.1% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

51×	`sub-neg_binary32`
46×	`cancel-sign-sub-inv_binary32`
29×	`distribute-rgt-in_binary32`
25×	`associate-+l-_binary32`
20×	`distribute-lft-in_binary32`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	24	14
2	37	14
3	58	14
4	70	14
5	85	14
6	112	14
7	157	14
8	201	14
9	218	14
10	238	14
11	273	14
12	288	14
13	290	14
14	242	14

prune8.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

11.7b

Counts

2 → 2

Alt Table

Status	Error	Program
	12.6b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
▶	11.8b	(.f32 s (neg.f32 (log.f32 (-.f32 1 (.f32 4 u)))))

Compiler

Compiled 57 to 47 computations (17.5% saved)

localize29.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(.f32 s (neg.f32 (log.f32 (-.f32 1 (.f32 4 u)))))
13.4b	(log.f32 (-.f32 1 (*.f32 4 u)))

rewrite86.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

11.4b

Rules

12×	`associate-r_binary32`
11×	`add-sqr-sqrt_binary32`
9×	`*-un-lft-identity_binary32`
9×	`log-prod_binary32`
9×	`add-cube-cbrt_binary32`

Counts

2 → 48

Calls

2 calls:

8.0ms	(.f32 s (neg.f32 (log.f32 (-.f32 1 (.f32 4 u)))))
2.0ms	(log.f32 (-.f32 1 (*.f32 4 u)))

Compiler

Compiled 766 to 624 computations (18.5% saved)

series64.0ms (0.5%)

Error

0.3b

Counts

2 → 15

Calls

2 calls:

32.0ms	(.f32 s (neg.f32 (log.f32 (-.f32 1 (.f32 4 u)))))
13.0ms	(log.f32 (-.f32 1 (*.f32 4 u)))

Compiler

Compiled 528 to 411 computations (22.2% saved)

simplify141.0ms (1%)

Algorithm

1×	egg-herbie

Rules

691×	`unsub-neg_binary32`
422×	`neg-sub0_binary32`
417×	`neg-mul-1_binary32`
379×	`distribute-rgt-neg-in_binary32`
327×	`distribute-neg-in_binary32`

Counts

63 → 57

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	1149
1	364	1046
2	1281	1016
3	2825	1016
4	3705	1016
5	4731	1016
6	4948	1016
7	4836	1016

prune79.0ms (0.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	45	12	57
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	45	14	59

Error

0.4b

Counts

59 → 14

Alt Table

Status	Error	Program
	4.1b	(.f32 s (.f32 u (+.f32 (*.f32 u 8) 4)))
	12.6b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
	12.1b	(exp.f32 (log.f32 (neg.f32 (.f32 s (log.f32 (+.f32 (.f32 -4 u) 1))))))
	11.8b	(.f32 (sqrt.f32 s) (.f32 (neg.f32 (log.f32 (+.f32 (*.f32 -4 u) 1))) (sqrt.f32 s)))
▶	2.0b	(.f32 s (+.f32 (.f32 u (+.f32 (.f32 u 8) 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 64 (pow.f32 u 4)))))
	11.8b	(.f32 (.f32 s (.f32 (cbrt.f32 (log.f32 (+.f32 (.f32 -4 u) 1))) (cbrt.f32 (log.f32 (+.f32 (.f32 -4 u) 1))))) (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 (.f32 4 u))))))
	12.8b	(.f32 s (neg.f32 (+.f32 (log.f32 (sqrt.f32 (+.f32 (.f32 -4 u) 1))) (log.f32 (sqrt.f32 (+.f32 (*.f32 -4 u) 1))))))
	13.2b	(.f32 s (neg.f32 (+.f32 (.f32 2 (log.f32 (cbrt.f32 (+.f32 (.f32 -4 u) 1)))) (log.f32 (cbrt.f32 (+.f32 (.f32 -4 u) 1))))))
	2.7b	(.f32 s (+.f32 (.f32 u (+.f32 (.f32 u 8) 4)) (.f32 64/3 (pow.f32 u 3))))
	11.8b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (neg.f32 (log.f32 (+.f32 (.f32 -4 u) 1))) (cbrt.f32 s)))
✓	11.8b	(.f32 s (neg.f32 (log.f32 (-.f32 1 (.f32 4 u)))))
	12.7b	(.f32 s (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u (.f32 u 16)))) (log.f32 (-.f32 1 (.f32 -4 u))))))
	11.8b	(.f32 (.f32 (sqrt.f32 s) (sqrt.f32 (neg.f32 (log.f32 (+.f32 (.f32 -4 u) 1))))) (.f32 (sqrt.f32 s) (sqrt.f32 (neg.f32 (log.f32 (+.f32 (*.f32 -4 u) 1))))))
	8.1b	(.f32 s (.f32 u 4))

Compiler

Compiled 1093 to 874 computations (20% saved)

localize59.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f32 s (+.f32 (.f32 u (+.f32 (.f32 u 8) 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 64 (pow.f32 u 4)))))
0.2b	(+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))
0.4b	(.f32 u (+.f32 (.f32 u 8) 4))
0.4b	(*.f32 64/3 (pow.f32 u 3))

rewrite233.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

23×	`add-sqr-sqrt_binary32`
18×	`associate-r_binary32`
13×	`add-exp-log_binary32`
12×	`associate-*r/_binary32`
12×	`*-un-lft-identity_binary32`

Counts

4 → 90

Calls

4 calls:

14.0ms	(.f32 s (+.f32 (.f32 u (+.f32 (.f32 u 8) 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 64 (pow.f32 u 4)))))
7.0ms	(*.f32 64/3 (pow.f32 u 3))
6.0ms	(.f32 u (+.f32 (.f32 u 8) 4))
5.0ms	(+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))

Compiler

Compiled 2863 to 2241 computations (21.7% saved)

series110.0ms (0.8%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

45.0ms	(.f32 s (+.f32 (.f32 u (+.f32 (.f32 u 8) 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 64 (pow.f32 u 4)))))
20.0ms	(.f32 u (+.f32 (.f32 u 8) 4))
18.0ms	(+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))
12.0ms	(*.f32 64/3 (pow.f32 u 3))

Compiler

Compiled 1047 to 810 computations (22.6% saved)

simplify148.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

372×	`associate-l_binary32`
344×	`associate-r_binary32`
302×	`associate-+l+_binary32`
291×	`associate-+r+_binary32`
272×	`exp-prod_binary32`

Counts

114 → 66

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	210	2734
1	631	2535
2	2513	2508
3	4675	2484
4	4969	2484
5	4935	2484

prune143.0ms (1%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	57	9	66
Fresh	3	9	12
Picked	1	0	1
Done	0	1	1
Total	61	19	80

Error

0.1b

Counts

80 → 19

Alt Table

Status	Error	Program
	12.6b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
	12.1b	(exp.f32 (log.f32 (neg.f32 (.f32 s (log.f32 (+.f32 (.f32 -4 u) 1))))))
	2.3b	(.f32 s (+.f32 (.f32 (.f32 (cbrt.f32 u) (cbrt.f32 u)) (.f32 (+.f32 (.f32 u 8) 4) (cbrt.f32 u))) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 64 (pow.f32 u 4)))))
	11.8b	(.f32 (sqrt.f32 s) (.f32 (neg.f32 (log.f32 (+.f32 (*.f32 -4 u) 1))) (sqrt.f32 s)))
	2.2b	(.f32 (sqrt.f32 s) (.f32 (+.f32 (.f32 u (+.f32 (.f32 u 8) 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))) (sqrt.f32 s)))
	11.8b	(.f32 (.f32 s (.f32 (cbrt.f32 (log.f32 (+.f32 (.f32 -4 u) 1))) (cbrt.f32 (log.f32 (+.f32 (.f32 -4 u) 1))))) (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 (.f32 4 u))))))
	12.8b	(.f32 s (neg.f32 (+.f32 (log.f32 (sqrt.f32 (+.f32 (.f32 -4 u) 1))) (log.f32 (sqrt.f32 (+.f32 (*.f32 -4 u) 1))))))
	11.8b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (neg.f32 (log.f32 (+.f32 (.f32 -4 u) 1))) (cbrt.f32 s)))
✓	11.8b	(.f32 s (neg.f32 (log.f32 (-.f32 1 (.f32 4 u)))))
	12.7b	(.f32 s (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u (.f32 u 16)))) (log.f32 (-.f32 1 (.f32 -4 u))))))
	2.0b	(+.f32 (.f32 s (.f32 u (+.f32 (.f32 u 8) 4))) (.f32 s (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))))
	11.8b	(.f32 (.f32 (sqrt.f32 s) (sqrt.f32 (neg.f32 (log.f32 (+.f32 (.f32 -4 u) 1))))) (.f32 (sqrt.f32 s) (sqrt.f32 (neg.f32 (log.f32 (+.f32 (*.f32 -4 u) 1))))))
▶	1.9b	(.f32 s (+.f32 (+.f32 (.f32 u (.f32 u 8)) (.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))))
	13.2b	(.f32 s (neg.f32 (+.f32 (.f32 2 (log.f32 (cbrt.f32 (+.f32 (.f32 -4 u) 1)))) (log.f32 (cbrt.f32 (+.f32 (.f32 -4 u) 1))))))
	2.3b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (+.f32 (.f32 u (+.f32 (.f32 u 8) 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 64 (pow.f32 u 4)))) (cbrt.f32 s)))
	10.7b	(/.f32 (.f32 s (.f32 (-.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4))) (+.f32 (.f32 u (-.f32 (.f32 64 (.f32 u u)) 16)) (.f32 (-.f32 (.f32 u 8) 4) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4))))))) (.f32 (-.f32 (.f32 u 8) 4) (-.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 64 (pow.f32 u 4)))))
	19.1b	(/.f32 (.f32 s (+.f32 (.f32 (.f32 u (-.f32 (.f32 64 (.f32 u u)) 16)) (+.f32 (.f32 4096/9 (pow.f32 u 6)) (-.f32 (.f32 4096 (pow.f32 u 8)) (.f32 (pow.f32 u 4) (.f32 (pow.f32 u 3) 4096/3))))) (.f32 (+.f32 (.f32 262144/27 (pow.f32 u 9)) (pow.f32 (.f32 64 (pow.f32 u 4)) 3)) (-.f32 (.f32 u 8) 4)))) (.f32 (-.f32 (.f32 u 8) 4) (+.f32 (.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64/3 (pow.f32 u 3))) (-.f32 (.f32 (.f32 64 (pow.f32 u 4)) (.f32 64 (pow.f32 u 4))) (.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))))))
	10.3b	(/.f32 (.f32 s (+.f32 (.f32 (.f32 u (+.f32 64 (pow.f32 (.f32 u 8) 3))) (-.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))) (.f32 (+.f32 (.f32 4096/9 (pow.f32 u 6)) (.f32 (pow.f32 u 8) -4096)) (+.f32 16 (.f32 u (+.f32 -32 (.f32 u 64))))))) (.f32 (+.f32 (.f32 (.f32 u 8) (.f32 u 8)) (-.f32 (.f32 4 4) (.f32 (.f32 u 8) 4))) (-.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))))
	2.0b	(+.f32 (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (.f32 u u)))) (.f32 s (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))))

Compiler

Compiled 2368 to 1836 computations (22.5% saved)

localize65.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(+.f32 (+.f32 (.f32 u (.f32 u 8)) (.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 64 (pow.f32 u 4))))
0.2b	(.f32 s (+.f32 (+.f32 (.f32 u (.f32 u 8)) (.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))))
0.2b	(+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))
0.4b	(*.f32 64/3 (pow.f32 u 3))

rewrite267.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

19×	`add-sqr-sqrt_binary32`
18×	`add-log-exp_binary32`
16×	`associate-r_binary32`
14×	`*-un-lft-identity_binary32`
11×	`flip-+_binary32`

Counts

4 → 90

Calls

4 calls:

14.0ms	(.f32 s (+.f32 (+.f32 (.f32 u (.f32 u 8)) (.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))))
12.0ms	(+.f32 (+.f32 (.f32 u (.f32 u 8)) (.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 64 (pow.f32 u 4))))
6.0ms	(*.f32 64/3 (pow.f32 u 3))
5.0ms	(+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))

Compiler

Compiled 3633 to 2778 computations (23.5% saved)

series238.0ms (1.7%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

87.0ms	(.f32 s (+.f32 (+.f32 (.f32 u (.f32 u 8)) (.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))))
52.0ms	(*.f32 64/3 (pow.f32 u 3))
40.0ms	(+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))
21.0ms	(+.f32 (+.f32 (.f32 u (.f32 u 8)) (.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 64 (pow.f32 u 4))))

Compiler

Compiled 967 to 731 computations (24.4% saved)

simplify190.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

411×	`associate-+l+_binary32`
354×	`associate-l_binary32`
340×	`associate-r_binary32`
318×	`cancel-sign-sub-inv_binary32`
228×	`distribute-rgt-in_binary32`

Counts

114 → 92

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	3727
1	621	3333
2	2688	3276
3	5154	3276

prune451.0ms (3.3%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	3	14	17
Picked	1	0	1
Done	0	1	1
Total	90	21	111

Error

0.1b

Counts

111 → 21

Alt Table

Status	Error	Program
	2.1b	(.f32 s (/.f32 (+.f32 (pow.f32 (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4))) 3) (pow.f32 (.f32 u (+.f32 (.f32 u 8) 4)) 3)) (+.f32 (.f32 (.f32 u (+.f32 (.f32 u 8) 4)) (.f32 u (+.f32 (.f32 u 8) 4))) (.f32 (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4))) (+.f32 (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4))) (.f32 u (+.f32 -4 (*.f32 u -8))))))))
	11.8b	(.f32 (.f32 (sqrt.f32 s) (sqrt.f32 (neg.f32 (log.f32 (+.f32 (.f32 -4 u) 1))))) (.f32 (sqrt.f32 s) (sqrt.f32 (neg.f32 (log.f32 (+.f32 (*.f32 -4 u) 1))))))
	12.6b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
	14.3b	(/.f32 (.f32 s (.f32 (.f32 u (.f32 (-.f32 (.f32 u 8) 4) (-.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4))))) (+.f32 (.f32 u (+.f32 (.f32 u 8) 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))))) (.f32 (-.f32 (.f32 u (.f32 u 8)) (.f32 u 4)) (-.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 64 (pow.f32 u 4)))))
	12.1b	(exp.f32 (log.f32 (neg.f32 (.f32 s (log.f32 (+.f32 (.f32 -4 u) 1))))))
	2.3b	(.f32 s (+.f32 (.f32 (.f32 (cbrt.f32 u) (cbrt.f32 u)) (.f32 (+.f32 (.f32 u 8) 4) (cbrt.f32 u))) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 64 (pow.f32 u 4)))))
	11.8b	(.f32 (sqrt.f32 s) (.f32 (neg.f32 (log.f32 (+.f32 (*.f32 -4 u) 1))) (sqrt.f32 s)))
	2.2b	(.f32 (sqrt.f32 s) (.f32 (+.f32 (.f32 u (+.f32 (.f32 u 8) 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))) (sqrt.f32 s)))
	11.8b	(.f32 (.f32 s (.f32 (cbrt.f32 (log.f32 (+.f32 (.f32 -4 u) 1))) (cbrt.f32 (log.f32 (+.f32 (.f32 -4 u) 1))))) (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 (.f32 4 u))))))
	12.8b	(.f32 s (neg.f32 (+.f32 (log.f32 (sqrt.f32 (+.f32 (.f32 -4 u) 1))) (log.f32 (sqrt.f32 (+.f32 (*.f32 -4 u) 1))))))
	4.1b	(/.f32 (.f32 s (-.f32 (.f32 (.f32 u (+.f32 (.f32 u 8) 4)) (.f32 u (+.f32 (.f32 u 8) 4))) (.f32 (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4))) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))))) (-.f32 (+.f32 (.f32 u (.f32 u 8)) (.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))))
	13.2b	(.f32 s (neg.f32 (+.f32 (.f32 2 (log.f32 (cbrt.f32 (+.f32 (.f32 -4 u) 1)))) (log.f32 (cbrt.f32 (+.f32 (.f32 -4 u) 1))))))
	11.8b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (neg.f32 (log.f32 (+.f32 (.f32 -4 u) 1))) (cbrt.f32 s)))
✓	11.8b	(.f32 s (neg.f32 (log.f32 (-.f32 1 (.f32 4 u)))))
	12.7b	(.f32 s (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u (.f32 u 16)))) (log.f32 (-.f32 1 (.f32 -4 u))))))
	2.0b	(+.f32 (.f32 s (.f32 u (+.f32 (.f32 u 8) 4))) (.f32 s (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))))
	7.6b	(.f32 s (/.f32 (+.f32 (.f32 (-.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4))) (+.f32 (.f32 (pow.f32 u 6) 512) (.f32 (pow.f32 u 3) 64))) (.f32 (+.f32 (.f32 4096/9 (pow.f32 u 6)) (.f32 (pow.f32 u 8) -4096)) (+.f32 (.f32 64 (pow.f32 u 4)) (.f32 u (.f32 (.f32 u 4) (+.f32 4 (.f32 u -8))))))) (.f32 (-.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4))) (+.f32 (.f32 64 (pow.f32 u 4)) (.f32 u (.f32 (.f32 u 4) (+.f32 4 (.f32 u -8))))))))
	2.3b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (+.f32 (.f32 u (+.f32 (.f32 u 8) 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 64 (pow.f32 u 4)))) (cbrt.f32 s)))
	6.9b	(/.f32 (.f32 s (+.f32 (pow.f32 (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4))) 3) (pow.f32 (.f32 u (+.f32 (.f32 u 8) 4)) 3))) (+.f32 (.f32 (+.f32 (.f32 u (.f32 u 8)) (.f32 u 4)) (+.f32 (.f32 u (.f32 u 8)) (.f32 u 4))) (-.f32 (.f32 (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4))) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))) (.f32 (+.f32 (.f32 u (.f32 u 8)) (.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 64 (pow.f32 u 4)))))))
	3.1b	(.f32 s (exp.f32 (log.f32 (+.f32 (.f32 u (+.f32 (.f32 u 8) 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 64 (pow.f32 u 4)))))))
▶	2.0b	(+.f32 (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (.f32 u u)))) (.f32 s (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))))

Compiler

Compiled 3762 to 2916 computations (22.5% saved)

localize163.0ms (1.2%)

Local error

Found 4 expressions with local error:

0.2b	(+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))
0.2b	(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (*.f32 u u))))
0.3b	(.f32 8 (.f32 s (*.f32 u u)))
0.4b	(*.f32 64/3 (pow.f32 u 3))

rewrite328.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

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

Counts

4 → 74

Calls

4 calls:

13.0ms	(.f32 8 (.f32 s (*.f32 u u)))
11.0ms	(*.f32 64/3 (pow.f32 u 3))
11.0ms	(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (*.f32 u u))))
10.0ms	(+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))

Compiler

Compiled 2316 to 1437 computations (38% saved)

series206.0ms (1.5%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

66.0ms	(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (*.f32 u u))))
48.0ms	(.f32 8 (.f32 s (*.f32 u u)))
38.0ms	(+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))
22.0ms	(*.f32 64/3 (pow.f32 u 3))

Compiler

Compiled 1385 to 1019 computations (26.4% saved)

simplify208.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

475×	`cancel-sign-sub-inv_binary32`
258×	`associate-r_binary32`
227×	`associate-l_binary32`
206×	`distribute-rgt-out_binary32`
195×	`exp-prod_binary32`

Counts

98 → 73

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	2110
1	427	1854
2	1439	1623
3	3443	1599
4	4696	1599
5	4971	1599
6	4946	1599

prune224.0ms (1.6%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	4	15	19
Picked	0	1	1
Done	0	1	1
Total	75	19	94

Error

0.1b

Counts

94 → 19

Alt Table

Status	Error	Program
	12.6b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
	12.1b	(exp.f32 (log.f32 (neg.f32 (.f32 s (log.f32 (+.f32 (.f32 -4 u) 1))))))
	2.3b	(.f32 s (+.f32 (.f32 (.f32 (cbrt.f32 u) (cbrt.f32 u)) (.f32 (+.f32 (.f32 u 8) 4) (cbrt.f32 u))) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 64 (pow.f32 u 4)))))
	11.8b	(.f32 (sqrt.f32 s) (.f32 (neg.f32 (log.f32 (+.f32 (*.f32 -4 u) 1))) (sqrt.f32 s)))
	2.2b	(.f32 (sqrt.f32 s) (.f32 (+.f32 (.f32 u (+.f32 (.f32 u 8) 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))) (sqrt.f32 s)))
	11.8b	(.f32 (.f32 s (.f32 (cbrt.f32 (log.f32 (+.f32 (.f32 -4 u) 1))) (cbrt.f32 (log.f32 (+.f32 (.f32 -4 u) 1))))) (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 (.f32 4 u))))))
	12.8b	(.f32 s (neg.f32 (+.f32 (log.f32 (sqrt.f32 (+.f32 (.f32 -4 u) 1))) (log.f32 (sqrt.f32 (+.f32 (*.f32 -4 u) 1))))))
	11.8b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (neg.f32 (log.f32 (+.f32 (.f32 -4 u) 1))) (cbrt.f32 s)))
✓	11.8b	(.f32 s (neg.f32 (log.f32 (-.f32 1 (.f32 4 u)))))
	12.7b	(.f32 s (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u (.f32 u 16)))) (log.f32 (-.f32 1 (.f32 -4 u))))))
	2.3b	(+.f32 (.f32 (sqrt.f32 (.f32 (.f32 s u) (+.f32 4 (.f32 u 8)))) (sqrt.f32 (.f32 (.f32 s u) (+.f32 4 (.f32 u 8))))) (.f32 s (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))))
	2.3b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (+.f32 (.f32 u (+.f32 (.f32 u 8) 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 64 (pow.f32 u 4)))) (cbrt.f32 s)))
	6.9b	(/.f32 (.f32 s (+.f32 (pow.f32 (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4))) 3) (pow.f32 (.f32 u (+.f32 (.f32 u 8) 4)) 3))) (+.f32 (.f32 (+.f32 (.f32 u (.f32 u 8)) (.f32 u 4)) (+.f32 (.f32 u (.f32 u 8)) (.f32 u 4))) (-.f32 (.f32 (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4))) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))) (.f32 (+.f32 (.f32 u (.f32 u 8)) (.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 64 (pow.f32 u 4)))))))
	2.4b	(+.f32 (.f32 (.f32 (cbrt.f32 (.f32 (.f32 s u) (+.f32 4 (.f32 u 8)))) (cbrt.f32 (.f32 (.f32 s u) (+.f32 4 (.f32 u 8))))) (cbrt.f32 (.f32 (.f32 s u) (+.f32 4 (.f32 u 8))))) (.f32 s (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))))
	2.0b	(+.f32 (.f32 s (.f32 u (+.f32 (.f32 u 8) 4))) (.f32 s (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))))
	11.8b	(.f32 (.f32 (sqrt.f32 s) (sqrt.f32 (neg.f32 (log.f32 (+.f32 (.f32 -4 u) 1))))) (.f32 (sqrt.f32 s) (sqrt.f32 (neg.f32 (log.f32 (+.f32 (*.f32 -4 u) 1))))))
	13.2b	(.f32 s (neg.f32 (+.f32 (.f32 2 (log.f32 (cbrt.f32 (+.f32 (.f32 -4 u) 1)))) (log.f32 (cbrt.f32 (+.f32 (.f32 -4 u) 1))))))
	3.1b	(.f32 s (exp.f32 (log.f32 (+.f32 (.f32 u (+.f32 (.f32 u 8) 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 64 (pow.f32 u 4)))))))
✓	2.0b	(+.f32 (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (.f32 u u)))) (.f32 s (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64 (pow.f32 u 4)))))

Compiler

Compiled 1671 to 1145 computations (31.5% saved)

regimes5.5s (39.5%)

Accuracy

Total 0.3b remaining (77.9%)

Threshold costs 0.3b (77.9%)

Compiler

Compiled 36664 to 28759 computations (21.6% saved)

bsearch19.0ms (0.1%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary32`
9×	`+-commutative_binary32`
6×	`sub-neg_binary32`
5×	`neg-sub0_binary32`
5×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	63
1	53	63
2	66	63
3	76	63
4	82	63
5	84	63
6	82	63

end6.0ms (0%)

Compiler: Compiled 44 to 35 computations (20.5% saved)

sample4.1s (29.8%)

Algorithm

1×

intervals

Results

1.2s	8000×	body	128	valid
356.0ms	8000×	pre	128	true

Compiler

Compiled 595 to 459 computations (22.9% saved)

Iter	Nodes	Cost
0	10	14
1	24	14
2	37	14
3	58	14
4	70	14
5	85	14
6	112	14
7	157	14
8	201	14
9	218	14
10	238	14
11	273	14
12	288	14
13	290	14
14	242	14

Iter	Nodes	Cost
0	10	14
1	24	14
2	37	14
3	58	14
4	70	14
5	85	14
6	112	14
7	157	14
8	201	14
9	218	14
10	238	14
11	273	14
12	288	14
13	290	14
14	242	14

Details

analyze703.0ms (5.1%)

sample50.0ms (0.4%)

simplify23.0ms (0.2%)

prune8.0ms (0.1%)

localize29.0ms (0.2%)

rewrite86.0ms (0.6%)

series64.0ms (0.5%)

simplify141.0ms (1%)

prune79.0ms (0.6%)

localize59.0ms (0.4%)

rewrite233.0ms (1.7%)

series110.0ms (0.8%)

simplify148.0ms (1.1%)

prune143.0ms (1%)

localize65.0ms (0.5%)

rewrite267.0ms (1.9%)

series238.0ms (1.7%)

simplify190.0ms (1.4%)

prune451.0ms (3.3%)

localize163.0ms (1.2%)

rewrite328.0ms (2.4%)

series206.0ms (1.5%)

simplify208.0ms (1.5%)

prune224.0ms (1.6%)

regimes5.5s (39.5%)

bsearch19.0ms (0.1%)

simplify13.0ms (0.1%)

end6.0ms (0%)

sample4.1s (29.8%)

Profiling

Iter	Nodes	Cost
0	10	14
1	24	14
2	37	14
3	58	14
4	70	14
5	85	14
6	112	14
7	157	14
8	201	14
9	218	14
10	238	14
11	273	14
12	288	14
13	290	14
14	242	14