Details

analyze317.0ms (3.7%)

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)

sample37.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
6.0ms	256×	pre	128	true

Compiler

Compiled 33 to 25 computations (24.2% saved)

simplify31.0ms (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

prune4.0ms (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

14.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	14.1b	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))

Compiler

Compiled 33 to 24 computations (27.3% saved)

localize24.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.4b	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
14.1b	(log.f32 (-.f32 1 u0))

rewrite73.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

9.9b

Rules

18×	`log-prod_binary32`
15×	`add-sqr-sqrt_binary32` `*-un-lft-identity_binary32`
9×	`pow1_binary32`
8×	`add-exp-log_binary32`
7×	`add-cbrt-cube_binary32`

Counts

2 → 49

Calls

2 calls:

9.0ms	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
4.0ms	(log.f32 (-.f32 1 u0))

Compiler

Compiled 744 to 417 computations (44% saved)

series73.0ms (0.8%)

Error

0.4b

Counts

2 → 15

Calls

2 calls:

36.0ms	(.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)

simplify122.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

648×	`neg-sub0_binary32`
640×	`neg-mul-1_binary32`
511×	`unsub-neg_binary32`
325×	`*-commutative_binary32`
283×	`distribute-neg-out_binary32`

Counts

64 → 50

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1185
1	315	1070
2	1100	1033
3	2608	1033
4	4212	1033
5	4835	1033
6	4845	1033

prune78.0ms (0.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	38	12	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	13	51

Error

0.3b

Counts

51 → 13

Alt Table

Status	Error	Program
	15.0b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (*.f32 u0 u0))) (log.f32 (+.f32 u0 1))))
	14.2b	(exp.f32 (log.f32 (neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))))
✓	14.1b	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
	11.3b	(+.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))))
	1.9b	(+.f32 (.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 1/2 (.f32 u0 u0)))) (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/3 (pow.f32 u0 3)) (.f32 1/4 (pow.f32 u0 4)))))
	2.6b	(+.f32 (.f32 u0 (.f32 alpha alpha)) (.f32 (.f32 alpha alpha) (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))))
	14.9b	(+.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))))
	4.2b	(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 1/2 (.f32 u0 u0))))
	4.3b	(.f32 (.f32 (neg.f32 alpha) alpha) (.f32 u0 (-.f32 -1 (.f32 u0 1/2))))
	15.4b	(+.f32 (.f32 (.f32 alpha (.f32 alpha (log.f32 (cbrt.f32 (-.f32 1 u0))))) -2) (.f32 (log.f32 (cbrt.f32 (-.f32 1 u0))) (*.f32 alpha (neg.f32 alpha))))
	14.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))) (sqrt.f32 (neg.f32 (.f32 (*.f32 alpha alpha) (log.f32 (-.f32 1 u0))))))
	14.9b	(.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 (neg.f32 alpha) alpha) (-.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))))

Compiler

Compiled 994 to 614 computations (38.2% saved)

localize55.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

rewrite239.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

16×	`pow1_binary32` `add-exp-log_binary32` `add-cbrt-cube_binary32`
14×	`add-sqr-sqrt_binary32`
11×	`add-cube-cbrt_binary32` `*-un-lft-identity_binary32`
9×	`add-log-exp_binary32` `associate-r_binary32` `cancel-sign-sub-inv_binary32`
7×	`pow-prod-down_binary32` `prod-exp_binary32` `cbrt-unprod_binary32`

Counts

4 → 86

Calls

4 calls:

12.0ms	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))))
8.0ms	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))
8.0ms	(-.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3)))))
4.0ms	(*.f32 u0 1/3)

Compiler

Compiled 2799 to 1665 computations (40.5% saved)

series119.0ms (1.4%)

Error

0.3b

Counts

4 → 24

Calls

4 calls:

49.0ms	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))))
22.0ms	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))
14.0ms	(-.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3)))))
13.0ms	(*.f32 u0 1/3)

Compiler

Compiled 1068 to 794 computations (25.7% saved)

simplify120.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

404×	`associate-l_binary32`
388×	`exp-prod_binary32`
322×	`associate-r_binary32`
301×	`distribute-rgt-neg-out_binary32`
292×	`distribute-lft-neg-out_binary32`

Counts

110 → 90

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	2798
1	552	2474
2	2370	2291
3	4341	2291
4	5027	2291

prune197.0ms (2.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	2	9	11
Picked	1	0	1
Done	0	1	1
Total	85	18	103

Error

0.1b

Counts

103 → 18

Alt Table

Status	Error	Program
	1.9b	(.f32 (.f32 alpha alpha) (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 u0 (+.f32 1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2))))))
	15.0b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (*.f32 u0 u0))) (log.f32 (+.f32 u0 1))))
	2.2b	(/.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (-.f32 (.f32 (pow.f32 u0 12) -1/64) (pow.f32 (.f32 u0 (+.f32 1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))) 3))) (+.f32 (.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (pow.f32 u0 4) -1/4)) (+.f32 (.f32 (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3)))) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3))))))))
	14.2b	(exp.f32 (log.f32 (neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))))
✓	14.1b	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
	2.3b	(.f32 (.f32 (neg.f32 alpha) alpha) (.f32 (.f32 (cbrt.f32 (+.f32 (.f32 u0 (-.f32 -1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))) (.f32 (pow.f32 u0 4) -1/4))) (cbrt.f32 (+.f32 (.f32 u0 (-.f32 -1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))) (.f32 (pow.f32 u0 4) -1/4)))) (cbrt.f32 (+.f32 (.f32 u0 (-.f32 -1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))) (.f32 (pow.f32 u0 4) -1/4)))))
	11.3b	(+.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))))
	2.2b	(.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (.f32 (cbrt.f32 (+.f32 (.f32 u0 (-.f32 -1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))) (.f32 (pow.f32 u0 4) -1/4))) (cbrt.f32 (+.f32 (.f32 u0 (-.f32 -1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))) (.f32 (pow.f32 u0 4) -1/4))))) (cbrt.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3)))))))
	2.0b	(.f32 (neg.f32 alpha) (.f32 alpha (+.f32 (.f32 u0 (-.f32 -1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))) (.f32 (pow.f32 u0 4) -1/4))))
▶	1.9b	(+.f32 (.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 1/2 (.f32 u0 u0)))) (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/3 (pow.f32 u0 3)) (.f32 1/4 (pow.f32 u0 4)))))
	2.3b	(.f32 (.f32 (cbrt.f32 (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 u0 (+.f32 1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2))))))) (cbrt.f32 (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 u0 (+.f32 1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))))))) (cbrt.f32 (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 u0 (+.f32 1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2))))))))
	2.1b	(/.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (+.f32 (.f32 (pow.f32 u0 8) 1/16) (.f32 (.f32 u0 (+.f32 1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))) (.f32 u0 (-.f32 -1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2))))))) (+.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))))
	2.6b	(+.f32 (.f32 u0 (.f32 alpha alpha)) (.f32 (.f32 alpha alpha) (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))))
	14.9b	(+.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))))
	3.6b	(exp.f32 (log.f32 (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 u0 (+.f32 1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2))))))))
	15.4b	(+.f32 (.f32 (.f32 alpha (.f32 alpha (log.f32 (cbrt.f32 (-.f32 1 u0))))) -2) (.f32 (log.f32 (cbrt.f32 (-.f32 1 u0))) (*.f32 alpha (neg.f32 alpha))))
	14.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))) (sqrt.f32 (neg.f32 (.f32 (*.f32 alpha alpha) (log.f32 (-.f32 1 u0))))))
	14.9b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log.f32 (+.f32 1 (+.f32 u0 (*.f32 u0 u0))))))

Compiler

Compiled 2844 to 1932 computations (32.1% saved)

localize58.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

rewrite258.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

19×	`add-exp-log_binary32` `add-sqr-sqrt_binary32`
18×	`associate-r_binary32`
16×	`add-cbrt-cube_binary32`
14×	`pow1_binary32`
10×	`add-cube-cbrt_binary32` `*-un-lft-identity_binary32`

Counts

4 → 88

Calls

4 calls:

11.0ms	(.f32 (.f32 alpha alpha) (+.f32 (.f32 1/3 (pow.f32 u0 3)) (.f32 1/4 (pow.f32 u0 4))))
9.0ms	(*.f32 1/3 (pow.f32 u0 3))
8.0ms	(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 1/2 (.f32 u0 u0))))
5.0ms	(+.f32 (.f32 1/3 (pow.f32 u0 3)) (.f32 1/4 (pow.f32 u0 4)))

Compiler

Compiled 2925 to 1764 computations (39.7% saved)

series171.0ms (2%)

Error

0.1b

Counts

4 → 27

Calls

4 calls:

58.0ms	(.f32 (.f32 alpha alpha) (+.f32 (.f32 1/3 (pow.f32 u0 3)) (.f32 1/4 (pow.f32 u0 4))))
47.0ms	(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 1/2 (.f32 u0 u0))))
25.0ms	(+.f32 (.f32 1/3 (pow.f32 u0 3)) (.f32 1/4 (pow.f32 u0 4)))
16.0ms	(*.f32 1/3 (pow.f32 u0 3))

Compiler

Compiled 1609 to 1117 computations (30.6% saved)

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

630×	`distribute-rgt-in_binary32`
613×	`distribute-lft-in_binary32`
351×	`associate-l_binary32`
324×	`associate-r_binary32`
245×	`unswap-sqr_binary32`

Counts

115 → 70

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	2249
1	454	1936
2	1813	1905
3	5187	1905

prune153.0ms (1.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	4	12	16
Picked	1	0	1
Done	0	1	1
Total	72	16	88

Error

0.1b

Counts

88 → 16

Alt Table

Status	Error	Program
	15.0b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (*.f32 u0 u0))) (log.f32 (+.f32 u0 1))))
	2.2b	(/.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (-.f32 (.f32 (pow.f32 u0 12) -1/64) (pow.f32 (.f32 u0 (+.f32 1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))) 3))) (+.f32 (.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (pow.f32 u0 4) -1/4)) (+.f32 (.f32 (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3)))) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3))))))))
	14.2b	(exp.f32 (log.f32 (neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))))
✓	14.1b	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
	2.3b	(.f32 (.f32 (neg.f32 alpha) alpha) (.f32 (.f32 (cbrt.f32 (+.f32 (.f32 u0 (-.f32 -1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))) (.f32 (pow.f32 u0 4) -1/4))) (cbrt.f32 (+.f32 (.f32 u0 (-.f32 -1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))) (.f32 (pow.f32 u0 4) -1/4)))) (cbrt.f32 (+.f32 (.f32 u0 (-.f32 -1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))) (.f32 (pow.f32 u0 4) -1/4)))))
	11.3b	(+.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))))
	2.0b	(.f32 (neg.f32 alpha) (.f32 alpha (+.f32 (.f32 u0 (-.f32 -1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))) (.f32 (pow.f32 u0 4) -1/4))))
	2.3b	(.f32 (.f32 (cbrt.f32 (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 u0 (+.f32 1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2))))))) (cbrt.f32 (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 u0 (+.f32 1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))))))) (cbrt.f32 (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 u0 (+.f32 1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2))))))))
	2.1b	(/.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (+.f32 (.f32 (pow.f32 u0 8) 1/16) (.f32 (.f32 u0 (+.f32 1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))) (.f32 u0 (-.f32 -1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2))))))) (+.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))))
	2.0b	(+.f32 (/.f32 (.f32 (.f32 alpha alpha) (-.f32 (.f32 u0 u0) (.f32 1/4 (pow.f32 u0 4)))) (-.f32 u0 (.f32 1/2 (.f32 u0 u0)))) (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/3 (pow.f32 u0 3)) (.f32 1/4 (pow.f32 u0 4)))))
	2.0b	(+.f32 (/.f32 (.f32 (.f32 alpha alpha) (+.f32 (pow.f32 u0 3) (.f32 (pow.f32 u0 6) 1/8))) (+.f32 (.f32 u0 u0) (-.f32 (.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 1/2 (.f32 u0 u0))) (.f32 u0 (.f32 1/2 (.f32 u0 u0)))))) (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/3 (pow.f32 u0 3)) (.f32 1/4 (pow.f32 u0 4)))))
	14.9b	(+.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))))
▶	1.9b	(+.f32 (+.f32 (.f32 u0 (.f32 alpha alpha)) (.f32 (.f32 alpha alpha) (.f32 1/2 (.f32 u0 u0)))) (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/3 (pow.f32 u0 3)) (.f32 1/4 (pow.f32 u0 4)))))
	15.4b	(+.f32 (.f32 (.f32 alpha (.f32 alpha (log.f32 (cbrt.f32 (-.f32 1 u0))))) -2) (.f32 (log.f32 (cbrt.f32 (-.f32 1 u0))) (*.f32 alpha (neg.f32 alpha))))
	14.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))) (sqrt.f32 (neg.f32 (.f32 (*.f32 alpha alpha) (log.f32 (-.f32 1 u0))))))
	14.9b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log.f32 (+.f32 1 (+.f32 u0 (*.f32 u0 u0))))))

Compiler

Compiled 2270 to 1466 computations (35.4% saved)

localize64.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

rewrite271.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

40×	`add-exp-log_binary32`
37×	`add-cbrt-cube_binary32`
35×	`pow1_binary32`
24×	`prod-exp_binary32`
22×	`cbrt-unprod_binary32`

Counts

4 → 101

Calls

4 calls:

11.0ms	(.f32 (.f32 alpha alpha) (.f32 1/2 (.f32 u0 u0)))
10.0ms	(.f32 (.f32 alpha alpha) (+.f32 (.f32 1/3 (pow.f32 u0 3)) (.f32 1/4 (pow.f32 u0 4))))
6.0ms	(*.f32 1/3 (pow.f32 u0 3))
5.0ms	(.f32 u0 (.f32 alpha alpha))

Compiler

Compiled 3367 to 1742 computations (48.3% saved)

series159.0ms (1.8%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

58.0ms	(.f32 (.f32 alpha alpha) (+.f32 (.f32 1/3 (pow.f32 u0 3)) (.f32 1/4 (pow.f32 u0 4))))
37.0ms	(.f32 (.f32 alpha alpha) (.f32 1/2 (.f32 u0 u0)))
31.0ms	(.f32 u0 (.f32 alpha alpha))
15.0ms	(*.f32 1/3 (pow.f32 u0 3))

Compiler

Compiled 1702 to 1111 computations (34.7% saved)

simplify123.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

460×	`exp-prod_binary32`
402×	`associate-l_binary32`
391×	`associate-r_binary32`
326×	`distribute-rgt-in_binary32`
325×	`distribute-lft-in_binary32`

Counts

125 → 97

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	2092
1	428	1752
2	1767	1632
3	4217	1606
4	4767	1606
5	4979	1606

prune145.0ms (1.7%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	13	14
Picked	0	1	1
Done	0	1	1
Total	97	16	113

Error

0.1b

Counts

113 → 16

Alt Table

Status	Error	Program
	15.0b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (*.f32 u0 u0))) (log.f32 (+.f32 u0 1))))
	2.2b	(/.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (-.f32 (.f32 (pow.f32 u0 12) -1/64) (pow.f32 (.f32 u0 (+.f32 1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))) 3))) (+.f32 (.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (pow.f32 u0 4) -1/4)) (+.f32 (.f32 (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3)))) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3))))))))
	14.2b	(exp.f32 (log.f32 (neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))))
	14.1b	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
	2.3b	(.f32 (.f32 (neg.f32 alpha) alpha) (.f32 (.f32 (cbrt.f32 (+.f32 (.f32 u0 (-.f32 -1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))) (.f32 (pow.f32 u0 4) -1/4))) (cbrt.f32 (+.f32 (.f32 u0 (-.f32 -1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))) (.f32 (pow.f32 u0 4) -1/4)))) (cbrt.f32 (+.f32 (.f32 u0 (-.f32 -1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))) (.f32 (pow.f32 u0 4) -1/4)))))
	11.3b	(+.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))))
	2.0b	(.f32 (neg.f32 alpha) (.f32 alpha (+.f32 (.f32 u0 (-.f32 -1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))) (.f32 (pow.f32 u0 4) -1/4))))
	2.3b	(.f32 (.f32 (cbrt.f32 (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 u0 (+.f32 1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2))))))) (cbrt.f32 (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 u0 (+.f32 1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2)))))))) (cbrt.f32 (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 u0 (+.f32 1 (.f32 u0 (+.f32 (.f32 1/3 u0) 1/2))))))))
	2.0b	(+.f32 (/.f32 (.f32 (.f32 alpha alpha) (-.f32 (.f32 u0 u0) (.f32 1/4 (pow.f32 u0 4)))) (-.f32 u0 (.f32 1/2 (.f32 u0 u0)))) (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/3 (pow.f32 u0 3)) (.f32 1/4 (pow.f32 u0 4)))))
	2.0b	(+.f32 (/.f32 (.f32 (.f32 alpha alpha) (+.f32 (pow.f32 u0 3) (.f32 (pow.f32 u0 6) 1/8))) (+.f32 (.f32 u0 u0) (-.f32 (.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 1/2 (.f32 u0 u0))) (.f32 u0 (.f32 1/2 (.f32 u0 u0)))))) (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/3 (pow.f32 u0 3)) (.f32 1/4 (pow.f32 u0 4)))))
	2.1b	(+.f32 (+.f32 (.f32 (sqrt.f32 u0) (.f32 alpha (.f32 alpha (sqrt.f32 u0)))) (.f32 (.f32 alpha alpha) (.f32 1/2 (.f32 u0 u0)))) (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/3 (pow.f32 u0 3)) (*.f32 1/4 (pow.f32 u0 4)))))
	14.9b	(+.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))))
	1.9b	(+.f32 (+.f32 (.f32 u0 (.f32 alpha alpha)) (.f32 (.f32 alpha alpha) (.f32 1/2 (.f32 u0 u0)))) (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/3 (pow.f32 u0 3)) (.f32 1/4 (pow.f32 u0 4)))))
	15.4b	(+.f32 (.f32 (.f32 alpha (.f32 alpha (log.f32 (cbrt.f32 (-.f32 1 u0))))) -2) (.f32 (log.f32 (cbrt.f32 (-.f32 1 u0))) (*.f32 alpha (neg.f32 alpha))))
	14.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))) (sqrt.f32 (neg.f32 (.f32 (*.f32 alpha alpha) (log.f32 (-.f32 1 u0))))))
	14.9b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log.f32 (+.f32 1 (+.f32 u0 (*.f32 u0 u0))))))

Compiler

Compiled 2139 to 1209 computations (43.5% saved)

regimes3.5s (41%)

Accuracy

Total 0.4b remaining (80.5%)

Threshold costs 0.4b (80.5%)

Compiler

Compiled 41695 to 28160 computations (32.5% saved)

bsearch9.0ms (0.1%)

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary32`
9×	`+-commutative_binary32`
6×	`sub-neg_binary32`
5×	`neg-mul-1_binary32` `neg-sub0_binary32`
3×	`distribute-rgt-neg-in_binary32` `distribute-lft-neg-in_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	75
1	54	75
2	64	75
3	77	75
4	83	75
5	86	75
6	87	75
7	86	75

end3.0ms (0%)

Compiler: Compiled 52 to 40 computations (23.1% saved)

sample2.1s (24.3%)

Algorithm

1×

intervals

Results

481.0ms	8000×	body	128	valid
190.0ms	8000×	pre	128	true

Compiler

Compiled 632 to 443 computations (29.9% 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

analyze317.0ms (3.7%)

sample37.0ms (0.4%)

simplify31.0ms (0.4%)

prune4.0ms (0%)

localize24.0ms (0.3%)

rewrite73.0ms (0.9%)

series73.0ms (0.8%)

simplify122.0ms (1.4%)

prune78.0ms (0.9%)

localize55.0ms (0.6%)

rewrite239.0ms (2.8%)

series119.0ms (1.4%)

simplify120.0ms (1.4%)

prune197.0ms (2.3%)

localize58.0ms (0.7%)

rewrite258.0ms (3%)

series171.0ms (2%)

simplify77.0ms (0.9%)

prune153.0ms (1.8%)

localize64.0ms (0.7%)

rewrite271.0ms (3.1%)

series159.0ms (1.8%)

simplify123.0ms (1.4%)

prune145.0ms (1.7%)

regimes3.5s (41%)

bsearch9.0ms (0.1%)

simplify6.0ms (0.1%)

end3.0ms (0%)

sample2.1s (24.3%)

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