Details

analyze779.0ms (8.6%)

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)

sample61.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	169×	body	128	valid
12.0ms	44×	body	1024	valid
8.0ms	32×	body	1024	nan
5.0ms	43×	body	128	nan
5.0ms	24×	body	512	valid
2.0ms	13×	body	512	nan
2.0ms	17×	body	256	valid
1.0ms	6×	body	256	nan
1.0ms	2×	body	2048	valid

Compiler

Compiled 55 to 44 computations (20% saved)

simplify234.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5009	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: 44.7b

Counts

2 → 1

Compiler

Compiled 54 to 40 computations (25.9% saved)

localize16.0ms (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)
13.7b	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
21.9b	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))

rewrite74.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_101`
13×	`sqrt-prod_binary64_95`
12×	`add-cube-cbrt_binary64_114` `*-un-lft-identity_binary64_79`
11×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115`
7×	`pow1_binary64_140`
6×	`associate-/r_binary64_23` `associate-l*_binary64_20` `times-frac_binary64_85` `add-log-exp_binary64_118`
4×	`sqrt-div_binary64_96`
3×	`flip--_binary64_54` `flip3--_binary64_83` `associate-r_binary64_19`
2×	`cbrt-undiv_binary64_113` `div-exp_binary64_130` `associate--l+_binary64_16` `unswap-sqr_binary64_47` `cbrt-unprod_binary64_112` `prod-exp_binary64_128` `associate-/r/_binary64_25`
1×	`div-inv_binary64_76` `distribute-lft-in_binary64_28` `associate-/l_binary64_24` `rem-sqrt-square_binary64_92` `-commutative_binary64_10` `pow-prod-down_binary64_150` `sqrt-pow1_binary64_97` `diff-log_binary64_171` `clear-num_binary64_78` `pow1/2_binary64_159` `cancel-sign-sub-inv_binary64_45` `distribute-rgt-in_binary64_29` `sub-neg_binary64_72` `frac-2neg_binary64_90`

Counts

4 → 80

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)))
6.0ms	(*.f64 (sqrt.f64 2) t)

series2.8s (31.5%)

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)))
824.0ms	(/.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))))
343.0ms	(-.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 (0.8%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4955	3058
1	4955	3058

prune568.0ms (6.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	87	5	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	5	93

Merged error: 7.7b

Counts

93 → 5

Compiler

Compiled 13071 to 8651 computations (33.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.0b	(+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x))))
7.2b	(/.f64 (*.f64 l l) x)
10.4b	(/.f64 (*.f64 t t) x)
28.5b	(sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x)))))

rewrite39.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115`
10×	`add-sqr-sqrt_binary64_101`
9×	`add-cube-cbrt_binary64_114` `*-un-lft-identity_binary64_79`
8×	`associate-*r/_binary64_21`
6×	`associate-/r*_binary64_23` `times-frac_binary64_85` `add-log-exp_binary64_118`
5×	`pow1_binary64_140`
4×	`cbrt-undiv_binary64_113` `div-exp_binary64_130` `flip-+_binary64_53` `frac-add_binary64_87` `sqrt-div_binary64_96` `flip3-+_binary64_82`
3×	`sqrt-prod_binary64_95`
2×	`div-inv_binary64_76` `associate-/l*_binary64_24` `cbrt-unprod_binary64_112` `prod-exp_binary64_128` `associate-+r+_binary64_11` `clear-num_binary64_78` `frac-2neg_binary64_90`
1×	`sum-log_binary64_170` `distribute-lft-in_binary64_28` `+-commutative_binary64_9` `rem-sqrt-square_binary64_92` `sqrt-pow1_binary64_97` `pow1/2_binary64_159` `distribute-rgt-in_binary64_29`

Counts

4 → 74

Calls

4 calls:

11.0ms	(sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x)))))
9.0ms	(+.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)

series321.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

186.0ms	(sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x)))))
84.0ms	(+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x))))
27.0ms	(/.f64 (*.f64 t t) x)
24.0ms	(/.f64 (*.f64 l l) x)

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5003	1976

prune334.0ms (3.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	81	5	86
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	83	8	91

Merged error: 3.9b

Counts

91 → 8

Compiler

Compiled 7730 to 4593 computations (40.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.2b	(+.f64 (.f64 t t) (.f64 l (/.f64 l x)))
4.0b	(+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (*.f64 l (/.f64 l x)))))
10.4b	(/.f64 (*.f64 t t) x)
28.5b	(sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (*.f64 l (/.f64 l x))))))

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115`
8×	`add-sqr-sqrt_binary64_101` `associate-*r/_binary64_21` `add-log-exp_binary64_118`
7×	`add-cube-cbrt_binary64_114` `*-un-lft-identity_binary64_79`
5×	`flip-+_binary64_53` `flip3-+_binary64_82` `pow1_binary64_140`
4×	`frac-add_binary64_87` `sqrt-div_binary64_96`
3×	`sqrt-prod_binary64_95` `associate-/r*_binary64_23` `times-frac_binary64_85`
2×	`cbrt-undiv_binary64_113` `div-exp_binary64_130` `sum-log_binary64_170` `+-commutative_binary64_9` `associate-+r+_binary64_11`
1×	`div-inv_binary64_76` `distribute-lft-in_binary64_28` `associate-/l*_binary64_24` `cbrt-unprod_binary64_112` `prod-exp_binary64_128` `rem-sqrt-square_binary64_92` `sqrt-pow1_binary64_97` `clear-num_binary64_78` `pow1/2_binary64_159` `distribute-rgt-in_binary64_29` `frac-2neg_binary64_90`

Counts

4 → 64

Calls

4 calls:

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

series342.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

180.0ms	(sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (*.f64 l (/.f64 l x))))))
83.0ms	(+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (*.f64 l (/.f64 l x)))))
56.0ms	(+.f64 (.f64 t t) (.f64 l (/.f64 l x)))
23.0ms	(/.f64 (*.f64 t t) x)

simplify44.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5242	2011

prune136.0ms (1.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	75	9	84

Merged error: 3.9b

Counts

84 → 9

Compiler

Compiled 3448 to 1695 computations (50.8% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.2b	(+.f64 (.f64 t t) (.f64 (/.f64 l (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 l (cbrt.f64 x))))
4.0b	(+.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))))))
10.4b	(/.f64 (*.f64 t t) x)
28.5b	(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)))))))

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115`
8×	`add-sqr-sqrt_binary64_101` `associate-*r/_binary64_21` `add-log-exp_binary64_118`
7×	`add-cube-cbrt_binary64_114` `*-un-lft-identity_binary64_79`
5×	`flip-+_binary64_53` `flip3-+_binary64_82` `pow1_binary64_140`
4×	`frac-add_binary64_87` `sqrt-div_binary64_96`
3×	`sqrt-prod_binary64_95` `associate-/r*_binary64_23` `times-frac_binary64_85`
2×	`cbrt-undiv_binary64_113` `div-exp_binary64_130` `sum-log_binary64_170` `+-commutative_binary64_9` `associate-+r+_binary64_11`
1×	`div-inv_binary64_76` `distribute-lft-in_binary64_28` `associate-/l*_binary64_24` `cbrt-unprod_binary64_112` `prod-exp_binary64_128` `rem-sqrt-square_binary64_92` `sqrt-pow1_binary64_97` `clear-num_binary64_78` `pow1/2_binary64_159` `distribute-rgt-in_binary64_29` `frac-2neg_binary64_90`

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)

series429.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

209.0ms	(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)))))))
108.0ms	(+.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))))))
86.0ms	(+.f64 (.f64 t t) (.f64 (/.f64 l (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 l (cbrt.f64 x))))
26.0ms	(/.f64 (*.f64 t t) x)

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5015	2016

prune96.0ms (1.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	76	9	85

Merged error: 3.9b

Counts

85 → 9

Compiler

Compiled 2807 to 1073 computations (61.8% saved)

regimes259.0ms (2.9%)

Compiler: Compiled 1800 to 1287 computations (28.5% saved)

bsearch144.0ms (1.6%)

Steps

Iters	Range		Point
9	2.3480766382914438e+67	2.141412780247298e+76	2.0153125317558426e+76
9	-8.887922042972933e+104	-2.268072157007144e+97	-8.464227126236566e+104

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	148	143
1	148	143

end0.0ms (0%)

sample2.0s (22.1%)

Algorithm

1×

intervals

Results

388.0ms	5371×	body	128	valid
301.0ms	1133×	body	1024	valid
215.0ms	835×	body	1024	nan
175.0ms	885×	body	512	valid
109.0ms	555×	body	512	nan
104.0ms	1499×	body	128	nan
73.0ms	547×	body	256	valid
35.0ms	271×	body	256	nan
22.0ms	64×	body	2048	valid

Compiler

Compiled 421 to 296 computations (29.7% saved)

Details

analyze779.0ms (8.6%)

sample61.0ms (0.7%)

simplify234.0ms (2.6%)

prune3.0ms (0%)

localize16.0ms (0.2%)

rewrite74.0ms (0.8%)

series2.8s (31.5%)

simplify70.0ms (0.8%)

prune568.0ms (6.3%)

localize15.0ms (0.2%)

rewrite39.0ms (0.4%)

series321.0ms (3.6%)

simplify59.0ms (0.7%)

prune334.0ms (3.7%)

localize15.0ms (0.2%)

rewrite36.0ms (0.4%)

series342.0ms (3.8%)

simplify44.0ms (0.5%)

prune136.0ms (1.5%)

localize19.0ms (0.2%)

rewrite40.0ms (0.4%)

series429.0ms (4.7%)

simplify64.0ms (0.7%)

prune96.0ms (1.1%)

regimes259.0ms (2.9%)

bsearch144.0ms (1.6%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.0s (22.1%)

Profiling