Details

analyze838.0ms (4%)

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)

sample325.0ms (1.5%)

Algorithm

1×

intervals

Results

235.0ms	133×	body	8192	exit
34.0ms	109×	body	1024	nan
14.0ms	256×	body	128	valid
9.0ms	55×	body	512	nan
3.0ms	31×	body	256	nan
0.0ms	10×	body	128	nan
0.0ms	1×	body	2048	nan
0.0ms	4×	body	128	invalid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 17 to 17 computations (0% saved)

simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4896	11
1	4896	11

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
0.2b	(pow.f64 l (exp.f64 w))

rewrite88.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

21×	`times-frac_binary64_766`
20×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
15×	`unpow-prod-down_binary64_839`
7×	`associate-/l*_binary64_705`
5×	`add-exp-log_binary64_798` `sqr-pow_binary64_732`
4×	`add-cbrt-cube_binary64_796`
3×	`pow-unpow_binary64_837` `pow1_binary64_821` `div-exp_binary64_811` `associate-/r*_binary64_704`
2×	`pow-to-exp_binary64_829` `pow-exp_binary64_828` `add-log-exp_binary64_799`
1×	`pow-pow_binary64_832` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757`

Counts

2 → 62

Calls

2 calls:

5.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
2.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 920 to 220 computations (76.1% saved)

series587.0ms (2.8%)

Error

0.2b

Counts

2 → 18

Calls

2 calls:

327.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
239.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 894 to 503 computations (43.7% saved)

simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4974	1490
1	4974	1490

prune93.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	6	81

Error

0.1b

Counts

81 → 6

Compiler

Compiled 1116 to 377 computations (66.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 w))
0.0b	(cbrt.f64 (exp.f64 w))
0.0b	(/.f64 (pow.f64 l (exp.f64 w)) (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
0.2b	(pow.f64 l (exp.f64 w))

rewrite163.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

18×	`add-exp-log_binary64_798`
12×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
9×	`unpow-prod-down_binary64_839`
7×	`add-cbrt-cube_binary64_796` `times-frac_binary64_766` `associate-/l*_binary64_705`
6×	`div-exp_binary64_811` `cbrt-prod_binary64_791`
5×	`pow1_binary64_821`
4×	`add-log-exp_binary64_799`
3×	`pow-unpow_binary64_837` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `sqr-pow_binary64_732` `prod-exp_binary64_809`
2×	`cbrt-undiv_binary64_794` `pow1/3_binary64_842`
1×	`pow-pow_binary64_832` `cbrt-unprod_binary64_793` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/r*_binary64_704`

Counts

4 → 72

Calls

4 calls:

9.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
3.0ms	(pow.f64 l (exp.f64 w))
2.0ms	(cbrt.f64 (exp.f64 w))
2.0ms	(cbrt.f64 (exp.f64 w))

Compiler

Compiled 1525 to 283 computations (81.4% saved)

series1.3s (6%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

775.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
233.0ms	(pow.f64 l (exp.f64 w))
108.0ms	(cbrt.f64 (exp.f64 w))
96.0ms	(cbrt.f64 (exp.f64 w))

Compiler

Compiled 1865 to 1017 computations (45.5% saved)

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5005	1530

prune175.0ms (0.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	1	3	4
Picked	1	0	1
Done	1	0	1
Total	102	6	108

Error

0.1b

Counts

108 → 6

Compiler

Compiled 1862 to 632 computations (66.1% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 w w) (+.f64 1/18 (*.f64 1/162 w)))
0.2b	(pow.f64 l (exp.f64 w))
0.3b	(*.f64 w 1/3)
0.3b	(*.f64 1/162 w)

rewrite233.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

16×	`add-sqr-sqrt_binary64_782`
14×	`pow1_binary64_821` `add-exp-log_binary64_798`
13×	`add-cbrt-cube_binary64_796`
11×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
9×	`associate-r_binary64_700`
7×	`associate-l_binary64_701`
5×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
4×	`add-log-exp_binary64_799`
3×	`unswap-sqr_binary64_728` `*-commutative_binary64_691` `unpow-prod-down_binary64_839` `pow-unpow_binary64_837`
2×	`associate-*r/_binary64_702`
1×	`pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `sqr-pow_binary64_732` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `flip3-+_binary64_763` `flip-+_binary64_734`

Counts

4 → 76

Calls

4 calls:

8.0ms	(.f64 (.f64 w w) (+.f64 1/18 (*.f64 1/162 w)))
4.0ms	(*.f64 1/162 w)
4.0ms	(*.f64 w 1/3)
2.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 2366 to 1206 computations (49% saved)

series413.0ms (2%)

Error

0.1b

Counts

4 → 21

Calls

4 calls:

241.0ms	(pow.f64 l (exp.f64 w))
91.0ms	(.f64 (.f64 w w) (+.f64 1/18 (*.f64 1/162 w)))
27.0ms	(*.f64 w 1/3)
26.0ms	(*.f64 1/162 w)

Compiler

Compiled 1565 to 998 computations (36.2% saved)

simplify52.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5023	992

prune188.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	97	6	103

Error

0.1b

Counts

103 → 6

Compiler

Compiled 2234 to 1172 computations (47.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (exp.f64 w) 2/3))
0.2b	(pow.f64 l (exp.f64 w))
0.2b	(pow.f64 l (exp.f64 w))
0.4b	(*.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (exp.f64 w) 2/3))) (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (exp.f64 w) 2/3))))

rewrite1.6s (7.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

498×	`add-sqr-sqrt_binary64_782`
461×	`times-frac_binary64_766`
434×	`sqrt-prod_binary64_776`
366×	`unpow-prod-down_binary64_839`
218×	`sqr-pow_binary64_732`
160×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
121×	`unswap-sqr_binary64_728`
58×	`swap-sqr_binary64_727`
56×	`associate-l_binary64_701` `associate-r_binary64_700`
21×	`pow1_binary64_821`
20×	`rem-sqrt-square_binary64_773`
17×	`add-exp-log_binary64_798`
10×	`sqr-abs_binary64_775`
9×	`div-exp_binary64_811`
8×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `add-cbrt-cube_binary64_796` `pow-to-exp_binary64_829` `pow-exp_binary64_828`
7×	`associate-/l_binary64_705` `associate-/r_binary64_704`
6×	`pow-unpow_binary64_837`
5×	`pow-prod-up_binary64_830` `div-inv_binary64_757`
4×	`add-log-exp_binary64_799` `sqrt-div_binary64_777`
3×	`pow-prod-down_binary64_831` `pow-sqr_binary64_733`
2×	`pow-pow_binary64_832`
1×	`pow2_binary64_841` `pow-plus_binary64_823` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `sqrt-unprod_binary64_780` `rem-square-sqrt_binary64_772` `frac-times_binary64_770` `associate-l/_binary64_703` `associate-r/_binary64_702` `*-commutative_binary64_691` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759`

Counts

4 → 446

Calls

4 calls:

74.0ms	(*.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (exp.f64 w) 2/3))) (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (exp.f64 w) 2/3))))
7.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (exp.f64 w) 2/3))
2.0ms	(pow.f64 l (exp.f64 w))
2.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 17587 to 7918 computations (55% saved)

series2.1s (9.8%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

775.0ms	(*.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (exp.f64 w) 2/3))) (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (exp.f64 w) 2/3))))
759.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (exp.f64 w) 2/3))
234.0ms	(pow.f64 l (exp.f64 w))
231.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 3307 to 1908 computations (42.3% saved)

simplify208.0ms (1%)

Algorithm

1×	egg-herbie

Counts

482 → 482

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5045	18121

prune775.0ms (3.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	481	1	482
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	482	6	488

Error

0.1b

Counts

488 → 6

Compiler

Compiled 10996 to 4131 computations (62.4% saved)

regimes1.1s (5%)

Accuracy

Total 0.2b remaining (70.1%)

Threshold costs 0.2b (70.1%)

Compiler

Compiled 11600 to 7507 computations (35.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	24
1	14	24

end1.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

sample10.6s (50.3%)

Algorithm

1×

intervals

Results

7.8s	4674×	body	8192	exit
978.0ms	3216×	body	1024	nan
428.0ms	8000×	body	128	valid
251.0ms	1539×	body	512	nan
77.0ms	794×	body	256	nan
15.0ms	314×	body	128	nan
9.0ms	150×	body	128	overflowed
7.0ms	115×	body	128	invalid
2.0ms	5×	body	2048	nan
1.0ms	1×	body	4096	nan

Compiler

Compiled 238 to 167 computations (29.8% saved)

Details

analyze838.0ms (4%)

sample325.0ms (1.5%)

simplify96.0ms (0.5%)

prune3.0ms (0%)

localize8.0ms (0%)

rewrite88.0ms (0.4%)

series587.0ms (2.8%)

simplify61.0ms (0.3%)

prune93.0ms (0.4%)

localize11.0ms (0.1%)

rewrite163.0ms (0.8%)

series1.3s (6%)

simplify77.0ms (0.4%)

prune175.0ms (0.8%)

localize21.0ms (0.1%)

rewrite233.0ms (1.1%)

series413.0ms (2%)

simplify52.0ms (0.2%)

prune188.0ms (0.9%)

localize13.0ms (0.1%)

rewrite1.6s (7.7%)

series2.1s (9.8%)

simplify208.0ms (1%)

prune775.0ms (3.7%)

regimes1.1s (5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end1.0ms (0%)

sample10.6s (50.3%)

Profiling