Details

analyze783.0ms (4.7%)

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)

sample315.0ms (1.9%)

Algorithm

1×

intervals

Results

229.0ms	132×	body	8192	exit
35.0ms	106×	body	1024	nan
14.0ms	256×	body	128	valid
10.0ms	56×	body	512	nan
2.0ms	21×	body	256	nan
1.0ms	15×	body	128	nan
0.0ms	6×	body	128	invalid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 17 to 17 computations (0% saved)

simplify100.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4896	11
1	4896	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

Error

0.4b

Counts

2 → 2

Compiler

Compiled 22 to 17 computations (22.7% saved)

localize6.0ms (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))

rewrite49.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

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

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))

Compiler

Compiled 641 to 150 computations (76.6% saved)

series356.0ms (2.1%)

Error

0.3b

Counts

2 → 18

Calls

2 calls:

201.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
135.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 1057 to 608 computations (42.5% saved)

simplify97.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4971	996
1	4971	996

prune63.0ms (0.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	53	9	62
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	55	9	64

Error

0.1b

Counts

64 → 9

Compiler

Compiled 1116 to 392 computations (64.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 (neg.f64 w))))
0.0b	(.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w)))) (*.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 (neg.f64 w)))))
0.0b	(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w))))
0.4b	(pow.f64 l (exp.f64 w))

rewrite196.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

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

Counts

4 → 148

Calls

4 calls:

14.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w)))) (*.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 (neg.f64 w)))))
8.0ms	(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w))))
8.0ms	(*.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 (neg.f64 w))))
2.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 3882 to 684 computations (82.4% saved)

series833.0ms (5%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

341.0ms	(*.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 (neg.f64 w))))
210.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w)))) (*.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 (neg.f64 w)))))
158.0ms	(pow.f64 l (exp.f64 w))
84.0ms	(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w))))

Compiler

Compiled 2425 to 1265 computations (47.8% saved)

simplify90.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4952	3285
1	4952	3285

prune151.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	177	4	181
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	182	8	190

Error

0.1b

Counts

190 → 8

Compiler

Compiled 4088 to 970 computations (76.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w)))))
0.0b	(cbrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))
0.0b	(cbrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))
0.4b	(pow.f64 l (exp.f64 w))

rewrite125.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

30×	`cbrt-prod_binary64_791`
29×	`add-sqr-sqrt_binary64_782`
16×	`cbrt-div_binary64_792`
15×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
11×	`sqrt-prod_binary64_776`
10×	`sqrt-div_binary64_777`
9×	`associate-r_binary64_700`
8×	`neg-sub0_binary64_755` `exp-diff_binary64_808` `exp-neg_binary64_807`
7×	`pow1_binary64_821` `add-exp-log_binary64_798`
6×	`unswap-sqr_binary64_728` `associate-l_binary64_701`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `pow1/3_binary64_842` `frac-times_binary64_770`
3×	`unpow-prod-down_binary64_839` `pow-unpow_binary64_837`
2×	`pow-prod-down_binary64_831` `associate-l/_binary64_703` `associate-r/_binary64_702`
1×	`pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `sqr-pow_binary64_732` `pow3_binary64_843` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `rem-3cbrt-lft_binary64_785` `*-commutative_binary64_691`

Counts

4 → 92

Calls

4 calls:

10.0ms	(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w)))))
4.0ms	(pow.f64 l (exp.f64 w))
4.0ms	(cbrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))
4.0ms	(cbrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))

Compiler

Compiled 2997 to 442 computations (85.3% saved)

series361.0ms (2.2%)

Error

0.1b

Counts

4 → 27

Calls

4 calls:

163.0ms	(pow.f64 l (exp.f64 w))
69.0ms	(cbrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))
69.0ms	(cbrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))
28.0ms	(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w)))))

Compiler

Compiled 1990 to 941 computations (52.7% saved)

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5198	1865

prune114.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	119	8	127

Error

0.1b

Counts

127 → 8

Compiler

Compiled 3816 to 654 computations (82.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (cbrt.f64 (exp.f64 (neg.f64 w))))
0.0b	(cbrt.f64 (cbrt.f64 (exp.f64 (neg.f64 w))))
0.1b	(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (neg.f64 w)))) 4)
0.4b	(pow.f64 l (exp.f64 w))

rewrite107.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

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

Counts

4 → 73

Calls

4 calls:

4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (neg.f64 w)))) 4)
2.0ms	(cbrt.f64 (cbrt.f64 (exp.f64 (neg.f64 w))))
2.0ms	(cbrt.f64 (cbrt.f64 (exp.f64 (neg.f64 w))))
2.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 2592 to 557 computations (78.5% saved)

series430.0ms (2.6%)

Error

0.1b

Counts

4 → 27

Calls

4 calls:

159.0ms	(pow.f64 l (exp.f64 w))
102.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (neg.f64 w)))) 4)
69.0ms	(cbrt.f64 (cbrt.f64 (exp.f64 (neg.f64 w))))
68.0ms	(cbrt.f64 (cbrt.f64 (exp.f64 (neg.f64 w))))

Compiler

Compiled 2245 to 1049 computations (53.3% saved)

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4900	1373
1	4900	1373

prune109.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	99	9	108

Error

0.1b

Counts

108 → 9

Compiler

Compiled 3349 to 781 computations (76.7% saved)

regimes406.0ms (2.4%)

Accuracy

Total 0.2b remaining (78.5%)

Threshold costs 0.2b (78.5%)

Compiler

Compiled 5279 to 2921 computations (44.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	59
1	25	59

end0.0ms (0%)

sample11.9s (71.1%)

Algorithm

1×

intervals

Results

8.1s	4688×	body	8192	exit
1.0s	3228×	body	1024	nan
418.0ms	8000×	body	128	valid
282.0ms	1618×	body	512	nan
77.0ms	779×	body	256	nan
15.0ms	350×	body	128	nan
9.0ms	149×	body	128	overflowed
6.0ms	104×	body	128	invalid
4.0ms	6×	body	2048	nan
2.0ms	1×	body	8192	nan

Compiler

Compiled 1774 to 977 computations (44.9% saved)

Details

analyze783.0ms (4.7%)

sample315.0ms (1.9%)

simplify100.0ms (0.6%)

prune3.0ms (0%)

localize6.0ms (0%)

rewrite49.0ms (0.3%)

series356.0ms (2.1%)

simplify97.0ms (0.6%)

prune63.0ms (0.4%)

localize10.0ms (0.1%)

rewrite196.0ms (1.2%)

series833.0ms (5%)

simplify90.0ms (0.5%)

prune151.0ms (0.9%)

localize13.0ms (0.1%)

rewrite125.0ms (0.7%)

series361.0ms (2.2%)

simplify54.0ms (0.3%)

prune114.0ms (0.7%)

localize14.0ms (0.1%)

rewrite107.0ms (0.6%)

series430.0ms (2.6%)

simplify61.0ms (0.4%)

prune109.0ms (0.6%)

regimes406.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample11.9s (71.1%)

Profiling