Details

analyze980.0ms (4.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4997	22
1	4997	22
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
31.2%	68.7%	0.1%	5
31.2%	59.3%	9.5%	6
34.3%	54.6%	11%	7
34.3%	49.2%	16.5%	8
35.9%	46.4%	17.7%	9
35.9%	42.1%	22%	10
36.7%	40.6%	22.7%	11
36.7%	39.1%	24.2%	12
37.1%	38.3%	24.7%	13
37.1%	36.7%	26.2%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample387.0ms (1.9%)

Algorithm

1×

intervals

Results

287.0ms	147×	body	8192	exit
43.0ms	107×	body	1024	nan
15.0ms	256×	body	128	valid
9.0ms	47×	body	512	nan
3.0ms	28×	body	256	nan
1.0ms	13×	body	128	nan
0.0ms	1×	body	2048	nan
0.0ms	5×	body	128	overflowed
0.0ms	3×	body	128	invalid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify118.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4896	11
1	4896	11

prune3.0ms (0%)

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

0.4b

Counts

2 → 2

Compiler

Compiled 22 to 17 computations (22.7% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
0.4b	(pow.f64 l (exp.f64 w))

rewrite75.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

12×	`add-sqr-sqrt_binary64_782`
7×	`add-cube-cbrt_binary64_795` `unpow-prod-down_binary64_839` `-un-lft-identity_binary64_760` `associate-r*_binary64_700`
5×	`add-exp-log_binary64_798`
4×	`add-cbrt-cube_binary64_796`
3×	`pow-unpow_binary64_837` `pow1_binary64_821` `sqr-pow_binary64_732` `prod-exp_binary64_809` `unswap-sqr_binary64_728` `associate-l_binary64_701`
2×	`pow-to-exp_binary64_829` `pow-exp_binary64_828` `add-log-exp_binary64_799` `associate-*l/_binary64_703`
1×	`pow-pow_binary64_832` `cbrt-unprod_binary64_793` `neg-sub0_binary64_755` `exp-diff_binary64_808` `exp-neg_binary64_807` `*-commutative_binary64_691`

Counts

2 → 44

Calls

2 calls:

16.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
3.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 641 to 150 computations (76.6% saved)

series480.0ms (2.4%)

Error

0.3b

Counts

2 → 18

Calls

2 calls:

259.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
192.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 1057 to 608 computations (42.5% saved)

simplify120.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4971	996
1	4971	996

prune84.0ms (0.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	55	7	62
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	57	7	64

Error

0.1b

Counts

64 → 7

Compiler

Compiled 1091 to 372 computations (65.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 (neg.f64 w)))
0.0b	(cbrt.f64 (exp.f64 (neg.f64 w)))
0.0b	(cbrt.f64 (exp.f64 (neg.f64 w)))
0.4b	(pow.f64 l (exp.f64 w))

rewrite84.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

9×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760` `cbrt-prod_binary64_791`
6×	`cbrt-div_binary64_792`
5×	`pow1_binary64_821` `add-exp-log_binary64_798`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
3×	`unpow-prod-down_binary64_839` `pow-unpow_binary64_837` `pow1/3_binary64_842` `neg-sub0_binary64_755` `exp-diff_binary64_808` `exp-neg_binary64_807`
1×	`pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `sqr-pow_binary64_732`

Counts

4 → 56

Calls

4 calls:

5.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
4.0ms	(pow.f64 l (exp.f64 w))
4.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
3.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))

Compiler

Compiled 1357 to 233 computations (82.8% saved)

series457.0ms (2.3%)

Error

0.1b

Counts

4 → 27

Calls

4 calls:

175.0ms	(pow.f64 l (exp.f64 w))
94.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
79.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
75.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))

Compiler

Compiled 1653 to 835 computations (49.5% saved)

simplify110.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4913	840
1	4913	840

prune117.0ms (0.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	83	7	90

Error

0.1b

Counts

90 → 7

Compiler

Compiled 2132 to 604 computations (71.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))))
0.5b	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
0.5b	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
0.5b	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))

rewrite385.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

215×	`cbrt-prod_binary64_791`
177×	`times-frac_binary64_766`
176×	`add-sqr-sqrt_binary64_782`
106×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
73×	`unpow-prod-down_binary64_839`
31×	`sqr-pow_binary64_732`
28×	`swap-sqr_binary64_727` `associate-l_binary64_701` `associate-r_binary64_700`
25×	`unswap-sqr_binary64_728`
11×	`pow1_binary64_821`
9×	`pow1/3_binary64_842`
7×	`cbrt-div_binary64_792` `div-inv_binary64_757`
6×	`add-exp-log_binary64_798`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
2×	`pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `pow-sqr_binary64_733`
1×	`pow2_binary64_841` `pow-plus_binary64_823` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-times_binary64_770` `associate-l/_binary64_703` `associate-r/_binary64_702` `*-commutative_binary64_691`

Counts

4 → 232

Calls

4 calls:

47.0ms	(*.f64 (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))))
5.0ms	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
5.0ms	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
5.0ms	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))

Compiler

Compiled 9362 to 1312 computations (86% saved)

series2.3s (11.4%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

645.0ms	(*.f64 (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))))
555.0ms	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
532.0ms	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
499.0ms	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))

Compiler

Compiled 3636 to 1774 computations (51.2% saved)

simplify175.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4972	8843
1	4972	8843

prune324.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	264	1	265
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	265	7	272

Error

0.1b

Counts

272 → 7

Compiler

Compiled 10072 to 1644 computations (83.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 l (exp.f64 w))
0.4b	(pow.f64 l (exp.f64 w))
0.5b	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
4.1b	(exp.f64 (*.f64 2/3 (log.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))))

rewrite266.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

63×	`times-frac_binary64_766`
50×	`add-cube-cbrt_binary64_795` `log-prod_binary64_846` `exp-sum_binary64_806` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
33×	`unpow-prod-down_binary64_839`
25×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `cbrt-prod_binary64_791`
11×	`sqr-pow_binary64_732`
6×	`add-log-exp_binary64_799` `pow1_binary64_821` `add-exp-log_binary64_798` `pow-unpow_binary64_837`
4×	`add-cbrt-cube_binary64_796`
3×	`div-inv_binary64_757`
2×	`pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828`
1×	`exp-to-pow_binary64_822` `exp-prod_binary64_812` `rem-exp-log_binary64_800` `pow1/3_binary64_842` `cbrt-div_binary64_792`

Counts

4 → 128

Calls

4 calls:

11.0ms	(exp.f64 (*.f64 2/3 (log.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))))
10.0ms	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
4.0ms	(pow.f64 l (exp.f64 w))
4.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 4016 to 1198 computations (70.2% saved)

series1.4s (6.7%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

503.0ms	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
454.0ms	(exp.f64 (*.f64 2/3 (log.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))))
177.0ms	(pow.f64 l (exp.f64 w))
169.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 2856 to 1595 computations (44.2% saved)

simplify133.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4937	3507
1	4937	3507

prune185.0ms (0.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	158	3	161
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	161	7	168

Error

0.1b

Counts

168 → 7

Compiler

Compiled 4377 to 1248 computations (71.5% saved)

regimes375.0ms (1.9%)

Accuracy

Total 0.2b remaining (79.7%)

Threshold costs 0.2b (79.7%)

Compiler

Compiled 3641 to 2185 computations (40% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	13
1	16	13

end0.0ms (0%)

sample11.6s (57.5%)

Algorithm

1×

intervals

Results

8.0s	4592×	body	8192	exit
1.0s	3184×	body	1024	nan
429.0ms	8000×	body	128	valid
269.0ms	1536×	body	512	nan
86.0ms	801×	body	256	nan
13.0ms	309×	body	128	nan
10.0ms	149×	body	128	overflowed
7.0ms	128×	body	128	invalid
2.0ms	1×	body	8192	nan
1.0ms	1×	body	4096	nan
1.0ms	4×	body	2048	nan

Compiler

Compiled 1224 to 738 computations (39.7% saved)

Details

analyze980.0ms (4.9%)

sample387.0ms (1.9%)

simplify118.0ms (0.6%)

prune3.0ms (0%)

localize6.0ms (0%)

rewrite75.0ms (0.4%)

series480.0ms (2.4%)

simplify120.0ms (0.6%)

prune84.0ms (0.4%)

localize10.0ms (0.1%)

rewrite84.0ms (0.4%)

series457.0ms (2.3%)

simplify110.0ms (0.5%)

prune117.0ms (0.6%)

localize12.0ms (0.1%)

rewrite385.0ms (1.9%)

series2.3s (11.4%)

simplify175.0ms (0.9%)

prune324.0ms (1.6%)

localize12.0ms (0.1%)

rewrite266.0ms (1.3%)

series1.4s (6.7%)

simplify133.0ms (0.7%)

prune185.0ms (0.9%)

regimes375.0ms (1.9%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample11.6s (57.5%)

Profiling