Details

analyze613.0ms (4.3%)

Algorithm

1×

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)

sample330.0ms (2.3%)

Algorithm

1×

intervals

Results

257.0ms	144×	body	8192	exit
30.0ms	88×	body	1024	nan
14.0ms	256×	body	128	valid
9.0ms	52×	body	512	nan
3.0ms	29×	body	256	nan
0.0ms	7×	body	128	overflowed
0.0ms	10×	body	128	nan
0.0ms	2×	body	128	invalid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify187.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4896	11
1	4896	11

prune6.0ms (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

Merged error: 0.4b

Counts

2 → 2

Compiler

Compiled 22 to 17 computations (22.7% saved)

localize7.0ms (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))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

8.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
2.0ms	(pow.f64 l (exp.f64 w))

series144.0ms (1%)

Counts

2 → 6

Calls

2 calls:

86.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
59.0ms	(pow.f64 l (exp.f64 w))

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5142	685

prune46.0ms (0.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	43	7	50
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	45	7	52

Merged error: 0.2b

Counts

52 → 7

Compiler

Compiled 770 to 216 computations (71.9% saved)

localize11.0ms (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))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

3.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
3.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
3.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
2.0ms	(pow.f64 l (exp.f64 w))

series280.0ms (2%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
74.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
71.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
59.0ms	(pow.f64 l (exp.f64 w))

simplify42.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5251	682

prune67.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	67	8	75

Merged error: 0.2b

Counts

75 → 8

Compiler

Compiled 1700 to 349 computations (79.5% saved)

localize18.0ms (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))

rewrite17.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

3.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
3.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
3.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
2.0ms	(pow.f64 l (exp.f64 w))

series271.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
70.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
68.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
63.0ms	(pow.f64 l (exp.f64 w))

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5251	682

prune83.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	68	8	76

Merged error: 0.2b

Counts

76 → 8

Compiler

Compiled 2610 to 451 computations (82.7% saved)

localize16.0ms (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)))
0.4b	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
0.4b	(pow.f64 l (sqrt.f64 (exp.f64 w)))

rewrite19.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `unpow-prod-down_binary64_839` `add-sqr-sqrt_binary64_782`
12×	`pow-unpow_binary64_837`
7×	`add-exp-log_binary64_798`
6×	`sqrt-prod_binary64_776` `cbrt-prod_binary64_791`
5×	`pow-exp_binary64_828` `pow1_binary64_821`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `cbrt-div_binary64_792`
3×	`pow-to-exp_binary64_829` `sqr-pow_binary64_732`
2×	`pow1/3_binary64_842` `exp-diff_binary64_808` `neg-sub0_binary64_755` `exp-neg_binary64_807` `pow-pow_binary64_832`

Counts

4 → 72

Calls

4 calls:

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

series369.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

165.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
74.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
65.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))
65.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4946	1199
1	4946	1199

prune85.0ms (0.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	82	10	92

Merged error: 0.2b

Counts

92 → 10

Compiler

Compiled 2424 to 414 computations (82.9% saved)

regimes378.0ms (2.7%)

Compiler: Compiled 1919 to 994 computations (48.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	13
1	16	13

end0.0ms (0%)

sample11.1s (77.7%)

Algorithm

1×

intervals

Results

8.3s	4772×	body	8192	exit
985.0ms	3194×	body	1024	nan
433.0ms	8000×	body	128	valid
281.0ms	1636×	body	512	nan
79.0ms	801×	body	256	nan
16.0ms	350×	body	128	nan
10.0ms	150×	body	128	overflowed
7.0ms	116×	body	128	invalid
5.0ms	2×	body	8192	nan
1.0ms	2×	body	2048	nan
1.0ms	1×	body	4096	nan

Compiler

Compiled 650 to 341 computations (47.5% saved)

Details

analyze613.0ms (4.3%)

sample330.0ms (2.3%)

simplify187.0ms (1.3%)

prune6.0ms (0%)

localize7.0ms (0%)

rewrite13.0ms (0.1%)

series144.0ms (1%)

simplify52.0ms (0.4%)

prune46.0ms (0.3%)

localize11.0ms (0.1%)

rewrite15.0ms (0.1%)

series280.0ms (2%)

simplify42.0ms (0.3%)

prune67.0ms (0.5%)

localize18.0ms (0.1%)

rewrite17.0ms (0.1%)

series271.0ms (1.9%)

simplify40.0ms (0.3%)

prune83.0ms (0.6%)

localize16.0ms (0.1%)

rewrite19.0ms (0.1%)

series369.0ms (2.6%)

simplify75.0ms (0.5%)

prune85.0ms (0.6%)

regimes378.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample11.1s (77.7%)

Profiling