Details

analyze689.0ms (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)

sample411.0ms (2.5%)

Algorithm

1×

intervals

Results

317.0ms	155×	body	8192	exit
38.0ms	112×	body	1024	nan
18.0ms	256×	body	128	valid
15.0ms	59×	body	512	nan
4.0ms	32×	body	256	nan
1.0ms	10×	body	128	nan
0.0ms	5×	body	128	overflowed
0.0ms	1×	body	128	invalid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify252.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

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)

localize8.0ms (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))

rewrite19.0ms (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:

13.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
3.0ms	(pow.f64 l (exp.f64 w))

series278.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

164.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
113.0ms	(pow.f64 l (exp.f64 w))

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4905	687
1	4905	687

prune46.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	45	5	50
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	47	5	52

Merged error: 0.1b

Counts

52 → 5

Compiler

Compiled 744 to 203 computations (72.7% saved)

localize12.0ms (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	(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w))))
0.3b	(pow.f64 l (exp.f64 w))

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_782`
22×	`cbrt-prod_binary64_791`
16×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `cbrt-div_binary64_792`
12×	`pow1_binary64_821`
8×	`pow1/3_binary64_842` `exp-diff_binary64_808` `neg-sub0_binary64_755` `exp-neg_binary64_807`
7×	`add-exp-log_binary64_798`
6×	`swap-sqr_binary64_727` `associate-r_binary64_700` `associate-l_binary64_701`
4×	`unswap-sqr_binary64_728` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `frac-times_binary64_770`
3×	`pow-unpow_binary64_837` `unpow-prod-down_binary64_839`
2×	`associate-l/_binary64_703` `pow-sqr_binary64_733` `associate-r/_binary64_702` `pow-prod-up_binary64_830` `pow-prod-down_binary64_831`
1×	`pow2_binary64_841` `prod-exp_binary64_809` `pow-exp_binary64_828` `pow-plus_binary64_823` `pow-to-exp_binary64_829` `sqr-pow_binary64_732` `cbrt-unprod_binary64_793` `*-commutative_binary64_691` `pow-pow_binary64_832`

Counts

4 → 91

Calls

4 calls:

9.0ms	(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (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))

series547.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

188.0ms	(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w))))
135.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
121.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
101.0ms	(pow.f64 l (exp.f64 w))

simplify70.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4999	1221
1	4999	1221

prune291.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	102	6	108

Merged error: 0.1b

Counts

108 → 6

Compiler

Compiled 2389 to 491 computations (79.4% 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 w))
0.0b	(cbrt.f64 (exp.f64 w))
0.3b	(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`
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` `pow-unpow_binary64_837` `unpow-prod-down_binary64_839`
2×	`cbrt-div_binary64_792`
1×	`exp-diff_binary64_808` `pow-exp_binary64_828` `neg-sub0_binary64_755` `pow-to-exp_binary64_829` `exp-neg_binary64_807` `sqr-pow_binary64_732` `pow-pow_binary64_832`

Counts

4 → 52

Calls

4 calls:

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

series439.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
110.0ms	(cbrt.f64 (exp.f64 w))
109.0ms	(cbrt.f64 (exp.f64 w))
94.0ms	(pow.f64 l (exp.f64 w))

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4901	589
1	4901	589

prune85.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	1	3	4
Picked	1	0	1
Done	1	0	1
Total	64	6	70

Merged error: 0.1b

Counts

70 → 6

Compiler

Compiled 1863 to 753 computations (59.6% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite17.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_791`
10×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
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` `sqrt-prod_binary64_776` `pow-unpow_binary64_837` `unpow-prod-down_binary64_839`
2×	`cbrt-div_binary64_792`
1×	`exp-diff_binary64_808` `pow-exp_binary64_828` `neg-sub0_binary64_755` `pow-to-exp_binary64_829` `exp-neg_binary64_807` `sqr-pow_binary64_732` `pow-pow_binary64_832`

Counts

4 → 55

Calls

4 calls:

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

series438.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
110.0ms	(cbrt.f64 (exp.f64 w))
103.0ms	(cbrt.f64 (sqrt.f64 (exp.f64 w)))
100.0ms	(pow.f64 l (exp.f64 w))

simplify99.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4902	674
1	4902	674

prune84.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	67	6	73

Merged error: 0.1b

Counts

73 → 6

Compiler

Compiled 2209 to 711 computations (67.8% saved)

regimes122.0ms (0.7%)

Compiler: Compiled 1211 to 769 computations (36.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	59
1	30	59

end0.0ms (0%)

sample12.6s (75.3%)

Algorithm

1×

intervals

Results

9.5s	4707×	body	8192	exit
1.2s	3257×	body	1024	nan
573.0ms	8000×	body	128	valid
339.0ms	1599×	body	512	nan
96.0ms	759×	body	256	nan
17.0ms	316×	body	128	nan
13.0ms	142×	body	128	overflowed
11.0ms	3×	body	8192	nan
9.0ms	119×	body	128	invalid
0.0ms	1×	body	2048	nan

Compiler

Compiled 440 to 279 computations (36.6% saved)

Details

analyze689.0ms (4.1%)

sample411.0ms (2.5%)

simplify252.0ms (1.5%)

prune3.0ms (0%)

localize8.0ms (0%)

rewrite19.0ms (0.1%)

series278.0ms (1.7%)

simplify86.0ms (0.5%)

prune46.0ms (0.3%)

localize12.0ms (0.1%)

rewrite28.0ms (0.2%)

series547.0ms (3.3%)

simplify70.0ms (0.4%)

prune291.0ms (1.7%)

localize16.0ms (0.1%)

rewrite15.0ms (0.1%)

series439.0ms (2.6%)

simplify61.0ms (0.4%)

prune85.0ms (0.5%)

localize19.0ms (0.1%)

rewrite17.0ms (0.1%)

series438.0ms (2.6%)

simplify99.0ms (0.6%)

prune84.0ms (0.5%)

regimes122.0ms (0.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample12.6s (75.3%)

Profiling