Details

analyze1.4s (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)

sample651.0ms (2.2%)

Algorithm

1×

intervals

Results

504.0ms	150×	body	8192	exit
60.0ms	101×	body	1024	nan
26.0ms	256×	body	128	valid
14.0ms	41×	body	512	nan
9.0ms	27×	body	256	nan
1.0ms	1×	body	2048	nan
1.0ms	9×	body	128	nan
0.0ms	4×	body	128	overflowed
0.0ms	3×	body	128	invalid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify205.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (194.0ms)

Iter	Nodes	Cost
0	4896	11
1	4896	11

prune7.0ms (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

0.2b

Counts

2 → 2

Compiler

Compiled 22 to 17 computations (22.7% saved)

localize9.0ms (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))

rewrite21.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`times-frac_binary64_766`
20×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
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×	`associate-/r*_binary64_704` `div-exp_binary64_811` `pow1_binary64_821` `pow-unpow_binary64_837`
2×	`add-log-exp_binary64_799` `pow-exp_binary64_828` `pow-to-exp_binary64_829`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `clear-num_binary64_759` `pow-pow_binary64_832`

Counts

2 → 62

Calls

2 calls:

10.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
4.0ms	(pow.f64 l (exp.f64 w))

series1.0s (3.5%)

Counts

2 → 18

Calls

2 calls:

641.0ms	(pow.f64 l (exp.f64 w))
373.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))

Compiler

Compiled 526 to 342 computations (35% saved)

simplify126.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4974	1490
1	4974	1490

prune147.0ms (0.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	77	5	82

Error

0.1b

Counts

82 → 5

Compiler

Compiled 1338 to 398 computations (70.3% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (cbrt.f64 (exp.f64 w)))
0.2b	(pow.f64 (sqrt.f64 l) (exp.f64 w))
0.2b	(pow.f64 (sqrt.f64 l) (exp.f64 w))
0.4b	(.f64 (/.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (/.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (cbrt.f64 (exp.f64 w))))

rewrite195.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

207×	`add-sqr-sqrt_binary64_782`
206×	`times-frac_binary64_766`
134×	`unpow-prod-down_binary64_839`
109×	`add-exp-log_binary64_798`
96×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
83×	`cbrt-prod_binary64_791`
67×	`sqrt-prod_binary64_776`
64×	`associate-r_binary64_700`
48×	`div-exp_binary64_811`
45×	`unswap-sqr_binary64_728`
40×	`prod-exp_binary64_809`
35×	`sqr-pow_binary64_732`
19×	`add-cbrt-cube_binary64_796`
18×	`pow-exp_binary64_828` `pow-to-exp_binary64_829`
14×	`associate-l_binary64_701`
10×	`associate-/l*_binary64_705` `pow1_binary64_821`
8×	`cbrt-undiv_binary64_794` `cbrt-unprod_binary64_793`
6×	`associate-/r*_binary64_704` `pow-unpow_binary64_837` `pow-pow_binary64_832`
4×	`add-log-exp_binary64_799`
3×	`div-inv_binary64_757`
2×	`sqrt-pow1_binary64_778` `pow1/2_binary64_840` `sqrt-pow2_binary64_779`
1×	`frac-2neg_binary64_771` `associate-l/_binary64_703` `frac-times_binary64_770` `associate-r/_binary64_702` `clear-num_binary64_759` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

4 → 305

Calls

4 calls:

74.0ms	(.f64 (/.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (/.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
15.0ms	(/.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (cbrt.f64 (exp.f64 w)))
7.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))
6.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))

series1.4s (4.9%)

Counts

4 → 36

Calls

4 calls:

525.0ms	(.f64 (/.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (/.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
466.0ms	(/.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (cbrt.f64 (exp.f64 w)))
217.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))
215.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))

Compiler

Compiled 2024 to 1081 computations (46.6% saved)

simplify282.0ms (1%)

Algorithm

1×	egg-herbie

Counts

341 → 341

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5239	11454

prune651.0ms (2.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	338	3	341
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	341	5	346

Error

0.0b

Counts

346 → 5

Compiler

Compiled 10896 to 1823 computations (83.3% saved)

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sqrt.f64 l)) (cbrt.f64 (sqrt.f64 l)))
0.6b	(cbrt.f64 (sqrt.f64 l))
0.6b	(cbrt.f64 (sqrt.f64 l))
0.6b	(cbrt.f64 (sqrt.f64 l))

rewrite52.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`cbrt-prod_binary64_791`
44×	`add-sqr-sqrt_binary64_782`
29×	`sqrt-prod_binary64_776`
22×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
11×	`swap-sqr_binary64_727` `pow1_binary64_821`
9×	`pow1/3_binary64_842` `unswap-sqr_binary64_728` `associate-r_binary64_700` `associate-l_binary64_701`
6×	`add-exp-log_binary64_798`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
2×	`pow-sqr_binary64_733` `pow-prod-up_binary64_830` `pow-prod-down_binary64_831`
1×	`pow2_binary64_841` `prod-exp_binary64_809` `pow-plus_binary64_823` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`

Counts

4 → 98

Calls

4 calls:

18.0ms	(*.f64 (cbrt.f64 (sqrt.f64 l)) (cbrt.f64 (sqrt.f64 l)))
3.0ms	(cbrt.f64 (sqrt.f64 l))
3.0ms	(cbrt.f64 (sqrt.f64 l))
3.0ms	(cbrt.f64 (sqrt.f64 l))

series411.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt.f64 (sqrt.f64 l))
104.0ms	(cbrt.f64 (sqrt.f64 l))
101.0ms	(*.f64 (cbrt.f64 (sqrt.f64 l)) (cbrt.f64 (sqrt.f64 l)))
99.0ms	(cbrt.f64 (sqrt.f64 l))

Compiler

Compiled 868 to 454 computations (47.7% saved)

simplify134.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5290	1109

prune234.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	110	5	115

Error

0.0b

Counts

115 → 5

Compiler

Compiled 4342 to 575 computations (86.8% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (sqrt.f64 l) (exp.f64 w))
0.2b	(pow.f64 (sqrt.f64 l) (exp.f64 w))
0.4b	(.f64 (/.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (exp.f64 (log.f64 (/.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (cbrt.f64 (exp.f64 w))))))
3.9b	(exp.f64 (log.f64 (/.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (cbrt.f64 (exp.f64 w)))))

rewrite218.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

214×	`add-sqr-sqrt_binary64_782`
210×	`times-frac_binary64_766`
173×	`exp-sum_binary64_806` `log-prod_binary64_846`
130×	`unpow-prod-down_binary64_839`
94×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
80×	`cbrt-prod_binary64_791`
67×	`associate-r_binary64_700`
65×	`sqrt-prod_binary64_776`
50×	`unswap-sqr_binary64_728`
35×	`sqr-pow_binary64_732`
20×	`add-exp-log_binary64_798`
14×	`associate-l_binary64_701`
11×	`add-cbrt-cube_binary64_796` `pow1_binary64_821`
10×	`prod-exp_binary64_809`
6×	`div-exp_binary64_811` `pow-unpow_binary64_837` `pow-pow_binary64_832`
4×	`exp-prod_binary64_812` `add-log-exp_binary64_799` `pow-exp_binary64_828` `pow-to-exp_binary64_829` `cbrt-unprod_binary64_793`
3×	`log-div_binary64_847` `exp-diff_binary64_808` `div-inv_binary64_757`
2×	`cbrt-undiv_binary64_794` `sqrt-pow1_binary64_778` `pow1/2_binary64_840` `sqrt-pow2_binary64_779`
1×	`associate-l/_binary64_703` `rem-exp-log_binary64_800` `log-pow_binary64_849` `frac-times_binary64_770` `associate-r/_binary64_702` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

4 → 276

Calls

4 calls:

92.0ms	(.f64 (/.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (exp.f64 (log.f64 (/.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (cbrt.f64 (exp.f64 w))))))
22.0ms	(exp.f64 (log.f64 (/.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (cbrt.f64 (exp.f64 w)))))
7.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))
7.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))

series2.4s (8.3%)

Counts

4 → 36

Calls

4 calls:

1.3s	(.f64 (/.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (exp.f64 (log.f64 (/.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (cbrt.f64 (exp.f64 w))))))
682.0ms	(exp.f64 (log.f64 (/.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (cbrt.f64 (exp.f64 w)))))
235.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))
234.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))

Compiler

Compiled 2500 to 1304 computations (47.8% saved)

simplify325.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

312 → 312

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	5068	12010

prune641.0ms (2.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	309	3	312
Fresh	1	2	3
Picked	0	1	1
Done	1	0	1
Total	311	6	317

Error

0.0b

Counts

317 → 6

Compiler

Compiled 11029 to 1448 computations (86.9% saved)

regimes481.0ms (1.7%)

Accuracy

Total 0.2b remaining (77.4%)

Threshold costs 0.2b (77.4%)

Compiler

Compiled 2954 to 1564 computations (47.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	23
1	12	23

end0.0ms (0%)

sample17.9s (61.6%)

Algorithm

1×

intervals

Results

12.7s	4514×	body	8192	exit
1.6s	3122×	body	1024	nan
746.0ms	8000×	body	128	valid
459.0ms	1586×	body	512	nan
134.0ms	749×	body	256	nan
31.0ms	334×	body	128	nan
14.0ms	121×	body	128	overflowed
10.0ms	108×	body	128	invalid
8.0ms	10×	body	2048	nan
3.0ms	1×	body	4096	nan

Compiler

Compiled 1001 to 533 computations (46.8% saved)

Details

analyze1.4s (4.9%)

sample651.0ms (2.2%)

simplify205.0ms (0.7%)

prune7.0ms (0%)

localize9.0ms (0%)

rewrite21.0ms (0.1%)

series1.0s (3.5%)

simplify126.0ms (0.4%)

prune147.0ms (0.5%)

localize27.0ms (0.1%)

rewrite195.0ms (0.7%)

series1.4s (4.9%)

simplify282.0ms (1%)

prune651.0ms (2.2%)

localize36.0ms (0.1%)

rewrite52.0ms (0.2%)

series411.0ms (1.4%)

simplify134.0ms (0.5%)

prune234.0ms (0.8%)

localize28.0ms (0.1%)

rewrite218.0ms (0.7%)

series2.4s (8.3%)

simplify325.0ms (1.1%)

prune641.0ms (2.2%)

regimes481.0ms (1.7%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample17.9s (61.6%)

Profiling