Details

analyze669.0ms (4.1%)

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)

sample358.0ms (2.2%)

Algorithm

1×

intervals

Results

271.0ms	130×	body	8192	exit
38.0ms	108×	body	1024	nan
19.0ms	256×	body	128	valid
10.0ms	50×	body	512	nan
3.0ms	21×	body	256	nan
1.0ms	10×	body	128	nan
0.0ms	1×	body	128	invalid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 17 to 17 computations (0% saved)

simplify249.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5961	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

Merged error: 0.3b

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)))
0.3b	(pow.f64 l (exp.f64 w))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_772`
7×	`add-cube-cbrt_binary64_783` `unpow-prod-down_binary64_827` `-un-lft-identity_binary64_751` `associate-r*_binary64_693`
5×	`add-exp-log_binary64_786`
4×	`add-cbrt-cube_binary64_784`
3×	`prod-exp_binary64_797` `unswap-sqr_binary64_719` `sqr-pow_binary64_723` `pow1_binary64_809` `associate-l_binary64_694` `pow-unpow_binary64_825`
2×	`pow-to-exp_binary64_817` `pow-exp_binary64_816` `add-log-exp_binary64_787` `associate-*l/_binary64_696`
1×	`*-commutative_binary64_684` `pow-pow_binary64_820` `exp-neg_binary64_795` `exp-diff_binary64_796` `cbrt-unprod_binary64_781` `neg-sub0_binary64_746`

Counts

2 → 44

Calls

2 calls:

10.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
3.0ms	(pow.f64 l (exp.f64 w))

series293.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

177.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
116.0ms	(pow.f64 l (exp.f64 w))

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4939	686
1	4939	686

prune46.0ms (0.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Merged error: 0.1b

Counts

52 → 4

Compiler

Compiled 729 to 196 computations (73.1% 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)))
0.3b	(pow.f64 l (exp.f64 w))

rewrite18.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cube-cbrt_binary64_783` `cbrt-prod_binary64_779` `*-un-lft-identity_binary64_751` `add-sqr-sqrt_binary64_772`
6×	`cbrt-div_binary64_780`
5×	`pow1_binary64_809` `add-exp-log_binary64_786`
4×	`add-log-exp_binary64_787` `add-cbrt-cube_binary64_784`
3×	`pow1/3_binary64_830` `unpow-prod-down_binary64_827` `exp-neg_binary64_795` `exp-diff_binary64_796` `pow-unpow_binary64_825` `neg-sub0_binary64_746`
1×	`pow-to-exp_binary64_817` `pow-exp_binary64_816` `sqr-pow_binary64_723` `pow-pow_binary64_820`

Counts

4 → 56

Calls

4 calls:

4.0ms	(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)))
3.0ms	(pow.f64 l (exp.f64 w))

series506.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
130.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
130.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
116.0ms	(pow.f64 l (exp.f64 w))

simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4899	681
1	4899	681

prune63.0ms (0.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	68	4	72

Merged error: 0.1b

Counts

72 → 4

Compiler

Compiled 1640 to 308 computations (81.2% saved)

localize17.0ms (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)))
0.3b	(pow.f64 l (exp.f64 w))

rewrite20.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cube-cbrt_binary64_783` `cbrt-prod_binary64_779` `*-un-lft-identity_binary64_751` `add-sqr-sqrt_binary64_772`
6×	`cbrt-div_binary64_780`
5×	`pow1_binary64_809` `add-exp-log_binary64_786`
4×	`add-log-exp_binary64_787` `add-cbrt-cube_binary64_784`
3×	`pow1/3_binary64_830` `unpow-prod-down_binary64_827` `exp-neg_binary64_795` `exp-diff_binary64_796` `pow-unpow_binary64_825` `neg-sub0_binary64_746`
1×	`pow-to-exp_binary64_817` `pow-exp_binary64_816` `sqr-pow_binary64_723` `pow-pow_binary64_820`

Counts

4 → 56

Calls

4 calls:

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

series500.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
133.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
131.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
96.0ms	(pow.f64 l (exp.f64 w))

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4899	681
1	4899	681

prune86.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	68	4	72

Merged error: 0.1b

Counts

72 → 4

Compiler

Compiled 2561 to 413 computations (83.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 w))
0.0b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
0.3b	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
0.3b	(pow.f64 l (sqrt.f64 (exp.f64 w)))

rewrite33.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`unpow-prod-down_binary64_827`
26×	`add-sqr-sqrt_binary64_772`
17×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
12×	`pow-unpow_binary64_825`
11×	`associate-r_binary64_693`
10×	`add-exp-log_binary64_786`
9×	`pow-exp_binary64_816` `sqrt-prod_binary64_766`
7×	`sqr-pow_binary64_723`
6×	`pow1_binary64_809` `add-cbrt-cube_binary64_784`
5×	`prod-exp_binary64_797` `pow-to-exp_binary64_817` `unswap-sqr_binary64_719`
4×	`add-log-exp_binary64_787` `sqrt-pow1_binary64_768`
3×	`exp-prod_binary64_800` `associate-l_binary64_694`
2×	`pow-pow_binary64_820` `associate-*l/_binary64_696`
1×	`rem-sqrt-square_binary64_764` `pow1/2_binary64_828` `*-commutative_binary64_684` `exp-neg_binary64_795` `exp-diff_binary64_796` `cbrt-unprod_binary64_781` `neg-sub0_binary64_746`

Counts

4 → 97

Calls

4 calls:

12.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
5.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
3.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))
2.0ms	(sqrt.f64 (exp.f64 w))

series823.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

386.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
295.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
119.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))
23.0ms	(sqrt.f64 (exp.f64 w))

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4971	1987
1	4971	1987

prune81.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	109	4	113

Merged error: 0.1b

Counts

113 → 4

Compiler

Compiled 2058 to 369 computations (82.1% saved)

regimes27.0ms (0.2%)

Compiler: Compiled 222 to 122 computations (45% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	33
1	20	33

end0.0ms (0%)

sample12.0s (74.2%)

Algorithm

1×

intervals

Results

9.2s	4554×	body	8192	exit
1.1s	3135×	body	1024	nan
572.0ms	8000×	body	128	valid
316.0ms	1536×	body	512	nan
98.0ms	782×	body	256	nan
16.0ms	304×	body	128	nan
11.0ms	151×	body	128	overflowed
9.0ms	121×	body	128	invalid
7.0ms	2×	body	8192	nan
5.0ms	3×	body	4096	nan
2.0ms	3×	body	2048	nan

Compiler

Compiled 137 to 78 computations (43.1% saved)

Details

analyze669.0ms (4.1%)

sample358.0ms (2.2%)

simplify249.0ms (1.5%)

prune3.0ms (0%)

localize7.0ms (0%)

rewrite15.0ms (0.1%)

series293.0ms (1.8%)

simplify81.0ms (0.5%)

prune46.0ms (0.3%)

localize10.0ms (0.1%)

rewrite18.0ms (0.1%)

series506.0ms (3.1%)

simplify85.0ms (0.5%)

prune63.0ms (0.4%)

localize17.0ms (0.1%)

rewrite20.0ms (0.1%)

series500.0ms (3.1%)

simplify86.0ms (0.5%)

prune86.0ms (0.5%)

localize10.0ms (0.1%)

rewrite33.0ms (0.2%)

series823.0ms (5.1%)

simplify68.0ms (0.4%)

prune81.0ms (0.5%)

regimes27.0ms (0.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample12.0s (74.2%)

Profiling