Details

analyze794.0ms (7.2%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	74.9%	25.1%	8
0%	74.9%	25.1%	9
9.4%	65.5%	25.1%	10
9.4%	53%	37.6%	11
14%	48.4%	37.6%	12
16.4%	46%	37.6%	13
16.4%	39.8%	43.8%	14

Compiler

Compiled 28 to 21 computations (25% saved)

sample55.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms	184×	body	128	valid
11.0ms	32×	body	1024	valid
6.0ms	23×	body	1024	nan
5.0ms	24×	body	512	valid
3.0ms	47×	body	128	nan
3.0ms	14×	body	512	nan
2.0ms	14×	body	256	valid
1.0ms	7×	body	256	nan
1.0ms	2×	body	2048	valid

Compiler

Compiled 55 to 44 computations (20% saved)

simplify238.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5155	41

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: 42.2b

Counts

2 → 1

Compiler

Compiled 54 to 40 computations (25.9% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l))))
0.4b	(*.f64 (sqrt.f64 2) t)
14.1b	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
22.4b	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))

rewrite72.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_98`
13×	`sqrt-prod_binary64_92`
12×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
11×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110`
7×	`pow1_binary64_135`
6×	`associate-/r_binary64_23` `associate-l*_binary64_20` `add-log-exp_binary64_113` `times-frac_binary64_83`
4×	`sqrt-div_binary64_93`
3×	`flip--_binary64_52` `flip3--_binary64_81` `associate-r_binary64_19`
2×	`cbrt-unprod_binary64_107` `cbrt-undiv_binary64_108` `associate--l+_binary64_16` `div-exp_binary64_125` `unswap-sqr_binary64_45` `associate-/r/_binary64_25` `prod-exp_binary64_123`
1×	`pow-prod-down_binary64_145` `rem-sqrt-square_binary64_90` `sqrt-pow1_binary64_94` `sub-neg_binary64_70` `distribute-lft-in_binary64_28` `associate-/l_binary64_24` `-commutative_binary64_10` `pow1/2_binary64_154` `clear-num_binary64_76` `diff-log_binary64_166` `distribute-rgt-in_binary64_29` `frac-2neg_binary64_88` `div-inv_binary64_74`

Counts

4 → 79

Calls

4 calls:

22.0ms	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l))))
17.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
17.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))
5.0ms	(*.f64 (sqrt.f64 2) t)

series2.8s (25.8%)

Counts

4 → 12

Calls

4 calls:

1.6s	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))
826.0ms	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l))))
331.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
47.0ms	(*.f64 (sqrt.f64 2) t)

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4950	3052
1	4950	3052

prune188.0ms (1.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	84	7	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	7	92

Merged error: 7.5b

Counts

92 → 7

Compiler

Compiled 3616 to 2129 computations (41.1% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.6b	(+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x))))
6.9b	(/.f64 (*.f64 l l) x)
8.4b	(/.f64 (*.f64 t t) x)
27.8b	(sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x)))))

rewrite38.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110`
10×	`add-sqr-sqrt_binary64_98`
9×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
8×	`associate-*r/_binary64_21`
6×	`associate-/r*_binary64_23` `add-log-exp_binary64_113` `times-frac_binary64_83`
5×	`pow1_binary64_135`
4×	`frac-add_binary64_85` `flip-+_binary64_51` `cbrt-undiv_binary64_108` `sqrt-div_binary64_93` `flip3-+_binary64_80` `div-exp_binary64_125`
3×	`sqrt-prod_binary64_92`
2×	`cbrt-unprod_binary64_107` `associate-/l*_binary64_24` `prod-exp_binary64_123` `associate-+r+_binary64_11` `clear-num_binary64_76` `frac-2neg_binary64_88` `div-inv_binary64_74`
1×	`rem-sqrt-square_binary64_90` `sqrt-pow1_binary64_94` `distribute-lft-in_binary64_28` `+-commutative_binary64_9` `pow1/2_binary64_154` `distribute-rgt-in_binary64_29` `sum-log_binary64_165`

Counts

4 → 74

Calls

4 calls:

10.0ms	(+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x))))
9.0ms	(sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x)))))
5.0ms	(/.f64 (*.f64 l l) x)
5.0ms	(/.f64 (*.f64 t t) x)

series333.0ms (3%)

Counts

4 → 12

Calls

4 calls:

191.0ms	(sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x)))))
93.0ms	(+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x))))
25.0ms	(/.f64 (*.f64 t t) x)
24.0ms	(/.f64 (*.f64 l l) x)

simplify45.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5516	1977

prune127.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	83	10	93

Merged error: 3.8b

Counts

93 → 10

Compiler

Compiled 3113 to 1433 computations (54% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.8b	(+.f64 (*.f64 t t) (/.f64 l (/.f64 x l)))
3.6b	(+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 l (/.f64 x l)))))
8.4b	(/.f64 (*.f64 t t) x)
27.8b	(sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 l (/.f64 x l))))))

rewrite45.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110`
8×	`add-log-exp_binary64_113` `associate-*r/_binary64_21` `add-sqr-sqrt_binary64_98`
7×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
5×	`flip-+_binary64_51` `flip3-+_binary64_80` `pow1_binary64_135`
4×	`frac-add_binary64_85` `sqrt-div_binary64_93`
3×	`sqrt-prod_binary64_92` `associate-/r*_binary64_23` `times-frac_binary64_83`
2×	`cbrt-undiv_binary64_108` `+-commutative_binary64_9` `div-exp_binary64_125` `associate-+r+_binary64_11` `sum-log_binary64_165`
1×	`rem-sqrt-square_binary64_90` `sqrt-pow1_binary64_94` `cbrt-unprod_binary64_107` `distribute-lft-in_binary64_28` `associate-/l*_binary64_24` `prod-exp_binary64_123` `pow1/2_binary64_154` `clear-num_binary64_76` `distribute-rgt-in_binary64_29` `frac-2neg_binary64_88` `div-inv_binary64_74`

Counts

4 → 64

Calls

4 calls:

14.0ms	(+.f64 (*.f64 t t) (/.f64 l (/.f64 x l)))
10.0ms	(+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 l (/.f64 x l)))))
9.0ms	(sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 l (/.f64 x l))))))
5.0ms	(/.f64 (*.f64 t t) x)

series344.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

183.0ms	(sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 l (/.f64 x l))))))
80.0ms	(+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 l (/.f64 x l)))))
53.0ms	(+.f64 (*.f64 t t) (/.f64 l (/.f64 x l)))
26.0ms	(/.f64 (*.f64 t t) x)

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5034	2011

prune114.0ms (1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	73	13	86

Merged error: 3.8b

Counts

86 → 13

Compiler

Compiled 3037 to 1379 computations (54.6% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.8b	(+.f64 (.f64 t t) (.f64 (/.f64 l (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 l (cbrt.f64 x))))
3.6b	(+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (.f64 (/.f64 l (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 l (cbrt.f64 x))))))
8.4b	(/.f64 (*.f64 t t) x)
27.8b	(sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (.f64 (/.f64 l (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 l (cbrt.f64 x)))))))

rewrite38.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110`
8×	`add-log-exp_binary64_113` `associate-*r/_binary64_21` `add-sqr-sqrt_binary64_98`
7×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
5×	`flip-+_binary64_51` `flip3-+_binary64_80` `pow1_binary64_135`
4×	`frac-add_binary64_85` `sqrt-div_binary64_93`
3×	`sqrt-prod_binary64_92` `associate-/r*_binary64_23` `times-frac_binary64_83`
2×	`cbrt-undiv_binary64_108` `+-commutative_binary64_9` `div-exp_binary64_125` `associate-+r+_binary64_11` `sum-log_binary64_165`
1×	`rem-sqrt-square_binary64_90` `sqrt-pow1_binary64_94` `cbrt-unprod_binary64_107` `distribute-lft-in_binary64_28` `associate-/l*_binary64_24` `prod-exp_binary64_123` `pow1/2_binary64_154` `clear-num_binary64_76` `distribute-rgt-in_binary64_29` `frac-2neg_binary64_88` `div-inv_binary64_74`

Counts

4 → 64

Calls

4 calls:

9.0ms	(+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (.f64 (/.f64 l (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 l (cbrt.f64 x))))))
9.0ms	(sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (.f64 (/.f64 l (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 l (cbrt.f64 x)))))))
5.0ms	(+.f64 (.f64 t t) (.f64 (/.f64 l (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 l (cbrt.f64 x))))
5.0ms	(/.f64 (*.f64 t t) x)

series434.0ms (4%)

Counts

4 → 12

Calls

4 calls:

213.0ms	(sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (.f64 (/.f64 l (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 l (cbrt.f64 x)))))))
110.0ms	(+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (.f64 (/.f64 l (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 l (cbrt.f64 x))))))
87.0ms	(+.f64 (.f64 t t) (.f64 (/.f64 l (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 l (cbrt.f64 x))))
24.0ms	(/.f64 (*.f64 t t) x)

simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5762	2016

prune97.0ms (0.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	76	13	89

Merged error: 3.8b

Counts

89 → 13

Compiler

Compiled 2807 to 1073 computations (61.8% saved)

regimes1.3s (12.2%)

Compiler: Compiled 14192 to 9733 computations (31.4% saved)

bsearch540.0ms (4.9%)

Steps

Iters	Range		Point
5	9.066701080462736e+104	3.6239322138541783e+105	3.552303323015909e+105
9	2.9356296320339956e-167	9.393450140931853e-158	2.9878933277788783e-167
6	5.808436522777279e-270	5.36640949457357e-269	5.289804017494565e-269
9	-9.688054288276612e-263	-4.842710277104906e-270	-9.537665178779285e-263
8	-2.9407021909694715e-192	-7.216082082978438e-197	-7.376286544804047e-197
9	-4.522081167183284e+107	-8.191308943204796e+99	-4.448494623502798e+107

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	196	327
1	196	327

end0.0ms (0%)

sample3.1s (27.8%)

Algorithm

1×

intervals

Results

380.0ms	5322×	body	128	valid
315.0ms	1176×	body	1024	valid
205.0ms	775×	body	1024	nan
182.0ms	878×	body	512	valid
104.0ms	1502×	body	128	nan
98.0ms	502×	body	512	nan
78.0ms	553×	body	256	valid
35.0ms	269×	body	256	nan
24.0ms	71×	body	2048	valid

Compiler

Compiled 2170 to 1468 computations (32.4% saved)

Details

analyze794.0ms (7.2%)

sample55.0ms (0.5%)

simplify238.0ms (2.2%)

prune3.0ms (0%)

localize20.0ms (0.2%)

rewrite72.0ms (0.7%)

series2.8s (25.8%)

simplify70.0ms (0.6%)

prune188.0ms (1.7%)

localize18.0ms (0.2%)

rewrite38.0ms (0.3%)

series333.0ms (3%)

simplify45.0ms (0.4%)

prune127.0ms (1.2%)

localize16.0ms (0.1%)

rewrite45.0ms (0.4%)

series344.0ms (3.1%)

simplify41.0ms (0.4%)

prune114.0ms (1%)

localize20.0ms (0.2%)

rewrite38.0ms (0.3%)

series434.0ms (4%)

simplify49.0ms (0.4%)

prune97.0ms (0.9%)

regimes1.3s (12.2%)

bsearch540.0ms (4.9%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample3.1s (27.8%)

Profiling