Details

analyze665.0ms (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)

sample405.0ms (2.5%)

Algorithm

1×

intervals

Results

313.0ms	155×	body	8192	exit
42.0ms	116×	body	1024	nan
18.0ms	256×	body	128	valid
11.0ms	56×	body	512	nan
3.0ms	21×	body	256	nan
1.0ms	13×	body	128	nan
0.0ms	7×	body	128	overflowed
0.0ms	1×	body	2048	nan
0.0ms	4×	body	128	invalid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify234.0ms (1.4%)

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: 0.2b

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

rewrite17.0ms (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:

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

series277.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

169.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
107.0ms	(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

prune45.0ms (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: 0.0b

Counts

52 → 4

Compiler

Compiled 716 to 192 computations (73.2% 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)))
0.2b	(pow.f64 l (exp.f64 w))

rewrite17.0ms (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:

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

series522.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
139.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
130.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
111.0ms	(pow.f64 l (exp.f64 w))

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (70.0ms)

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

Merged error: 0.0b

Counts

72 → 4

Compiler

Compiled 1638 to 307 computations (81.3% saved)

localize15.0ms (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)))
0.2b	(pow.f64 l (exp.f64 w))

rewrite22.0ms (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:

6.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
4.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
3.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
3.0ms	(pow.f64 l (exp.f64 w))

series473.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
126.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
118.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
99.0ms	(pow.f64 l (exp.f64 w))

simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4899	681
1	4899	681

prune84.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	68	4	72

Merged error: 0.0b

Counts

72 → 4

Compiler

Compiled 2503 to 393 computations (84.3% 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)))
4.9b	(exp.f64 (*.f64 (exp.f64 w) (log.f64 l)))

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×	`add-log-exp_binary64_787` `log-prod_binary64_834` `cbrt-div_binary64_780` `exp-sum_binary64_794`
4×	`pow1_binary64_809` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
3×	`pow1/3_binary64_830` `distribute-lft-in_binary64_702` `exp-neg_binary64_795` `exp-diff_binary64_796` `distribute-rgt-in_binary64_703` `neg-sub0_binary64_746`
1×	`exp-to-pow_binary64_810` `exp-prod_binary64_800` `rem-exp-log_binary64_788`

Counts

4 → 55

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	(exp.f64 (*.f64 (exp.f64 w) (log.f64 l)))

series494.0ms (3%)

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
127.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
126.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
105.0ms	(exp.f64 (*.f64 (exp.f64 w) (log.f64 l)))

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5114	667

prune78.0ms (0.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	67	4	71

Merged error: 0.0b

Counts

71 → 4

Compiler

Compiled 2497 to 358 computations (85.7% saved)

regimes114.0ms (0.7%)

Compiler: Compiled 1151 to 655 computations (43.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	57
1	24	57

end0.0ms (0%)

sample12.3s (76%)

Algorithm

1×

intervals

Results

9.4s	4672×	body	8192	exit
1.2s	3305×	body	1024	nan
538.0ms	8000×	body	128	valid
326.0ms	1644×	body	512	nan
96.0ms	817×	body	256	nan
15.0ms	303×	body	128	nan
9.0ms	126×	body	128	overflowed
8.0ms	116×	body	128	invalid
8.0ms	5×	body	4096	nan
3.0ms	5×	body	2048	nan

Compiler

Compiled 418 to 234 computations (44% saved)

Details

analyze665.0ms (4.1%)

sample405.0ms (2.5%)

simplify234.0ms (1.4%)

prune3.0ms (0%)

localize7.0ms (0%)

rewrite17.0ms (0.1%)

series277.0ms (1.7%)

simplify81.0ms (0.5%)

prune45.0ms (0.3%)

localize11.0ms (0.1%)

rewrite17.0ms (0.1%)

series522.0ms (3.2%)

simplify83.0ms (0.5%)

prune63.0ms (0.4%)

localize15.0ms (0.1%)

rewrite22.0ms (0.1%)

series473.0ms (2.9%)

simplify85.0ms (0.5%)

prune84.0ms (0.5%)

localize17.0ms (0.1%)

rewrite20.0ms (0.1%)

series494.0ms (3%)

simplify55.0ms (0.3%)

prune78.0ms (0.5%)

regimes114.0ms (0.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample12.3s (76%)

Profiling