Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample2.2s (24.5%)

Results

2.2s	8256×	body	128	valid
1.0ms	4×	body	128	invalid

Compiler

Compiled 94 to 76 computations (19.1% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

40×	`fma-neg_binary32`
22×	`sub-neg_binary32`
17×	`cancel-sign-sub-inv_binary32`
15×	`fma-def_binary32`
11×	`*-commutative_binary32`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	26	21
2	38	21
3	46	21
4	56	21
5	67	21
6	82	21
7	106	21
8	119	21
9	125	21
10	144	21
11	140	21
12	167	21
13	180	21
14	184	21
15	185	21
16	163	21

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 58 to 49 computations (15.5% saved)

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.4b	(.f32 (.f32 2 (PI.f32)) u2)

series220.0ms (2.4%)

Counts

4 → 52

Calls

4 calls:

198.0ms	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
14.0ms	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
3.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
3.0ms	(.f32 (.f32 2 (PI.f32)) u2)

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`sqrt-prod_binary32`
18×	`add-sqr-sqrt_binary32`
14×	`associate-l_binary32`
13×	`*-un-lft-identity_binary32`
13×	`add-cube-cbrt_binary32`

Counts

4 → 82

Calls

4 calls:

6.0ms	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
4.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
4.0ms	(.f32 (.f32 2 (PI.f32)) u2)
2.0ms	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))

simplify195.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

532×	`cancel-sign-sub-inv_binary32`
449×	`fma-neg_binary32`
324×	`times-frac_binary32`
243×	`associate-/r*_binary32`
229×	`associate-/l*_binary32`

Counts

134 → 168

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	281	3614
1	751	3315
2	2419	3199
3	4597	3191
4	5025	3191

prune225.0ms (2.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	158	10	168
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	159	10	169

Error

0.0b

Counts

169 → 10

Alt Table

Status	Error	Program
	0.4b	(.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cbrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (cbrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))) (cbrt.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
	0.3b	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	0.6b	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.4b	(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	1.9b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (sqrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	0.8b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))) (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	2.3b	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
	0.5b	(.f32 (sqrt.f32 (.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 (neg.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (*.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2))))

Compiler

Compiled 5023 to 3046 computations (39.4% saved)

localize49.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (*.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2))))
✓	0.4b	(.f32 (.f32 (.f32 2 (PI.f32)) (.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2))
✓	0.4b	(.f32 (.f32 2 (PI.f32)) (*.f32 (cbrt.f32 u2) (cbrt.f32 u2)))
✓	0.5b	(*.f32 (cbrt.f32 u2) (cbrt.f32 u2))

series344.0ms (3.8%)

Counts

4 → 56

Calls

4 calls:

208.0ms	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (*.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2))))
77.0ms	(.f32 (.f32 2 (PI.f32)) (*.f32 (cbrt.f32 u2) (cbrt.f32 u2)))
39.0ms	(*.f32 (cbrt.f32 u2) (cbrt.f32 u2))
20.0ms	(.f32 (.f32 (.f32 2 (PI.f32)) (.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2))

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`pow1_binary32`
38×	`add-exp-log_binary32`
31×	`add-sqr-sqrt_binary32`
24×	`pow-prod-down_binary32`
23×	`cbrt-unprod_binary32`

Counts

4 → 129

Calls

4 calls:

9.0ms	(.f32 (.f32 (.f32 2 (PI.f32)) (.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2))
8.0ms	(.f32 (.f32 2 (PI.f32)) (*.f32 (cbrt.f32 u2) (cbrt.f32 u2)))
6.0ms	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (*.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2))))
4.0ms	(*.f32 (cbrt.f32 u2) (cbrt.f32 u2))

simplify128.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

564×	`fma-def_binary32`
372×	`associate-l_binary32`
331×	`associate-r_binary32`
300×	`cancel-sign-sub-inv_binary32`
267×	`fma-neg_binary32`

Counts

185 → 208

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	280	3852
1	668	3439
2	2341	3285
3	4682	3264
4	4978	3264

prune290.0ms (3.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	206	2	208
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	208	10	218

Error

0.0b

Counts

218 → 10

Alt Table

Status	Error	Program
	0.6b	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.4b	(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	0.9b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2))))) (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2)))))) (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (*.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2))))))
▶	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (log.f32 (exp.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (*.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2))))))
	1.9b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (sqrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	0.4b	(.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cbrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (cbrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))) (cbrt.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
	0.8b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))) (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	2.3b	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
	0.5b	(.f32 (sqrt.f32 (.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 (neg.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))

Compiler

Compiled 6341 to 2967 computations (53.2% saved)

localize63.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f32 (.f32 (.f32 2 (PI.f32)) (.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2))
	0.4b	(.f32 (.f32 2 (PI.f32)) (*.f32 (cbrt.f32 u2) (cbrt.f32 u2)))
	0.5b	(*.f32 (cbrt.f32 u2) (cbrt.f32 u2))
✓	13.2b	(log.f32 (exp.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2))))

series16.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

16.0ms

(log.f32 (exp.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2))))

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`log-prod_binary32`
3×	`log-pow_binary32`
2×	`*-un-lft-identity_binary32`
2×	`add-sqr-sqrt_binary32`
2×	`add-cube-cbrt_binary32`

Counts

1 → 16

Calls

1 calls:

2.0ms

(log.f32 (exp.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2))))

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

706×	`fma-def_binary32`
468×	`distribute-rgt-out_binary32`
373×	`unswap-sqr_binary32`
359×	`*-commutative_binary32`
337×	`log-div_binary32`

Counts

28 → 27

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	537
1	51	305
2	135	305
3	657	299
4	1316	287
5	2046	283
6	4659	283
7	5099	283

prune272.0ms (3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	161	9	170

Error

0.0b

Counts

170 → 9

Alt Table

Status	Error	Program
	0.6b	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.4b	(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	0.9b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2))))) (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2)))))) (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (*.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2))))))
▶	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (log.f32 (exp.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (pow.f32 u2 2/3)) (cbrt.f32 u2))))))
	0.5b	(.f32 (sqrt.f32 (.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 (neg.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
	0.4b	(.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cbrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (cbrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))) (cbrt.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
	0.8b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))) (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	2.3b	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))

Compiler

Compiled 4636 to 2105 computations (54.6% saved)

localize69.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 (.f32 (*.f32 2 (PI.f32)) (pow.f32 u2 2/3)) (cbrt.f32 u2))
✓	0.4b	(.f32 (.f32 2 (PI.f32)) (pow.f32 u2 2/3))
✓	1.8b	(pow.f32 u2 2/3)
✓	13.2b	(log.f32 (exp.f32 (.f32 (.f32 (*.f32 2 (PI.f32)) (pow.f32 u2 2/3)) (cbrt.f32 u2))))

series92.0ms (1%)

Counts

4 → 48

Calls

4 calls:

40.0ms	(.f32 (.f32 2 (PI.f32)) (pow.f32 u2 2/3))
25.0ms	(pow.f32 u2 2/3)
13.0ms	(log.f32 (exp.f32 (.f32 (.f32 (*.f32 2 (PI.f32)) (pow.f32 u2 2/3)) (cbrt.f32 u2))))
13.0ms	(.f32 (.f32 (*.f32 2 (PI.f32)) (pow.f32 u2 2/3)) (cbrt.f32 u2))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-exp-log_binary32`
25×	`prod-exp_binary32`
15×	`add-cbrt-cube_binary32`
13×	`associate-r_binary32`
11×	`*-un-lft-identity_binary32`

Counts

4 → 89

Calls

4 calls:

7.0ms	(.f32 (.f32 (*.f32 2 (PI.f32)) (pow.f32 u2 2/3)) (cbrt.f32 u2))
5.0ms	(.f32 (.f32 2 (PI.f32)) (pow.f32 u2 2/3))
1.0ms	(log.f32 (exp.f32 (.f32 (.f32 (*.f32 2 (PI.f32)) (pow.f32 u2 2/3)) (cbrt.f32 u2))))
1.0ms	(pow.f32 u2 2/3)

simplify304.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

601×	`log-prod_binary32`
506×	`*-commutative_binary32`
368×	`unswap-sqr_binary32`
279×	`log-pow_binary32`
250×	`associate-l_binary32`

Counts

137 → 125

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	141	1877
1	277	1432
2	963	1369
3	1637	1362
4	3815	1316
5	4706	1316
6	5086	1316

prune193.0ms (2.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	125	9	134

Error

0.0b

Counts

134 → 9

Alt Table

Status	Error	Program
	0.6b	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.4b	(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	0.9b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2))))) (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2)))))) (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (*.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2))))))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (log.f32 (exp.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (pow.f32 u2 2/3)) (cbrt.f32 u2))))))
	0.5b	(.f32 (sqrt.f32 (.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 (neg.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
	0.4b	(.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cbrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (cbrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))) (cbrt.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
	0.8b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))) (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	2.3b	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))

Compiler

Compiled 3248 to 1881 computations (42.1% saved)

regimes3.8s (42.1%)

Accuracy

Total 0.2b remaining (70.4%)

Threshold costs 0.2b (70.4%)

Counts

188 → 1

Compiler

Compiled 46476 to 36014 computations (22.5% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary32`
2×	`+-commutative_binary32`
2×	`sub-neg_binary32`
2×	`neg-sub0_binary32`
2×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	33
1	31	33
2	35	33
3	37	33
4	36	33

end336.0ms (3.7%)

Compiler: Compiled 308 to 221 computations (28.2% saved)

Iter	Nodes	Cost
0	14	22
1	26	21
2	38	21
3	46	21
4	56	21
5	67	21
6	82	21
7	106	21
8	119	21
9	125	21
10	144	21
11	140	21
12	167	21
13	180	21
14	184	21
15	185	21
16	163	21

Iter	Nodes	Cost
0	14	22
1	26	21
2	38	21
3	46	21
4	56	21
5	67	21
6	82	21
7	106	21
8	119	21
9	125	21
10	144	21
11	140	21
12	167	21
13	180	21
14	184	21
15	185	21
16	163	21

Details

analyze5.0ms (0.1%)

sample2.2s (24.5%)

simplify19.0ms (0.2%)

prune6.0ms (0.1%)

localize37.0ms (0.4%)

series220.0ms (2.4%)

rewrite20.0ms (0.2%)

simplify195.0ms (2.2%)

prune225.0ms (2.5%)

localize49.0ms (0.5%)

series344.0ms (3.8%)

rewrite40.0ms (0.4%)

simplify128.0ms (1.4%)

prune290.0ms (3.2%)

localize63.0ms (0.7%)

series16.0ms (0.2%)

rewrite2.0ms (0%)

simplify70.0ms (0.8%)

prune272.0ms (3%)

localize69.0ms (0.8%)

series92.0ms (1%)

rewrite19.0ms (0.2%)

simplify304.0ms (3.4%)

prune193.0ms (2.1%)

regimes3.8s (42.1%)

simplify6.0ms (0.1%)

end336.0ms (3.7%)

Profiling

Iter	Nodes	Cost
0	14	22
1	26	21
2	38	21
3	46	21
4	56	21
5	67	21
6	82	21
7	106	21
8	119	21
9	125	21
10	144	21
11	140	21
12	167	21
13	180	21
14	184	21
15	185	21
16	163	21