Details

analyze470.0ms (6.1%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	68.6%	6.4%	7
31.2%	62.4%	6.4%	8
36.7%	54.6%	8.7%	9
38.2%	48.4%	13.4%	10
42.7%	42.3%	15%	11
47.8%	34.1%	18.1%	12
49.1%	30.3%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample37.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	179×	body	128	valid
8.0ms	30×	body	2048	valid
6.0ms	29×	body	1024	valid
2.0ms	6×	body	4096	valid
1.0ms	8×	body	512	valid
1.0ms	17×	body	128	nan
1.0ms	14×	body	128	invalid
0.0ms	4×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify466.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (291.0ms)

Iter	Nodes	Cost
0	1706	24
1	1706	24

prune6.0ms (0.1%)

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: 30.5b

Counts

2 → 2

Compiler

Compiled 82 to 67 computations (18.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.6b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
22.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite42.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_2487`
10×	`add-log-exp_binary64_2526`
9×	`add-exp-log_binary64_2525` `add-cbrt-cube_binary64_2523`
8×	`add-sqr-sqrt_binary64_2509`
7×	`add-cube-cbrt_binary64_2522`
6×	`distribute-lft-out_binary64_2438`
5×	`times-frac_binary64_2493` `associate-/l*_binary64_2432` `pow1_binary64_2548`
3×	`sqrt-prod_binary64_2503` `distribute-rgt-neg-in_binary64_2445`
2×	`flip--_binary64_2462` `associate-+l-_binary64_2422` `flip-+_binary64_2461` `flip3-+_binary64_2490` `sum-log_binary64_2578` `div-exp_binary64_2538` `sqrt-div_binary64_2504` `associate-/l/_binary64_2434` `neg-sub0_binary64_2482` `flip3--_binary64_2491` `cbrt-undiv_binary64_2521`
1×	`sub-neg_binary64_2480` `cancel-sign-sub-inv_binary64_2453` `neg-log_binary64_2580` `diff-log_binary64_2579` `prod-exp_binary64_2536` `associate-/r*_binary64_2431` `frac-2neg_binary64_2498` `clear-num_binary64_2486` `div-sub_binary64_2492` `div-inv_binary64_2484` `sqrt-pow1_binary64_2505` `+-commutative_binary64_2417` `cbrt-unprod_binary64_2520` `rem-sqrt-square_binary64_2500` `pow1/2_binary64_2567`

Counts

4 → 70

Calls

4 calls:

13.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
10.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series544.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

223.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
136.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
120.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
66.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5343	1836

prune664.0ms (8.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	72	10	82
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	73	11	84

Merged error: 5.3b

Counts

84 → 11

Compiler

Compiled 12503 to 9138 computations (26.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
2.3b	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
10.2b	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
22.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite68.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-exp-log_binary64_2525` `add-cbrt-cube_binary64_2523`
34×	`times-frac_binary64_2493` `add-sqr-sqrt_binary64_2509`
33×	`*-un-lft-identity_binary64_2487`
17×	`div-exp_binary64_2538` `cbrt-undiv_binary64_2521`
14×	`associate-/l*_binary64_2432`
13×	`prod-exp_binary64_2536` `add-cube-cbrt_binary64_2522` `cbrt-unprod_binary64_2520`
11×	`sqrt-prod_binary64_2503`
10×	`difference-of-squares_binary64_2456` `distribute-lft-out--_binary64_2439`
8×	`associate-/r*_binary64_2431` `add-log-exp_binary64_2526`
6×	`cancel-sign-sub-inv_binary64_2453` `associate-/r/_binary64_2433`
5×	`flip--_binary64_2462` `distribute-rgt-neg-in_binary64_2445` `pow1_binary64_2548` `flip3--_binary64_2491`
4×	`div-inv_binary64_2484`
2×	`diff-log_binary64_2579` `frac-2neg_binary64_2498` `clear-num_binary64_2486` `sqrt-div_binary64_2504`
1×	`sub-neg_binary64_2480` `neg-log_binary64_2580` `associate--l-_binary64_2425` `sqrt-pow1_binary64_2505` `associate-/l/_binary64_2434` `rem-sqrt-square_binary64_2500` `pow1/2_binary64_2567` `neg-sub0_binary64_2482`

Counts

4 → 125

Calls

4 calls:

19.0ms	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
18.0ms	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
10.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series965.0ms (12.6%)

Counts

4 → 12

Calls

4 calls:

396.0ms	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
314.0ms	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
133.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
122.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

simplify83.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4938	3955
1	4938	3955

prune611.0ms (8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	133	4	137
Fresh	1	8	9
Picked	1	0	1
Done	1	0	1
Total	136	12	148

Merged error: 5.2b

Counts

148 → 12

Compiler

Compiled 8595 to 5760 computations (33% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))) c)
0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.7b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
22.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite44.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64_2509`
39×	`*-un-lft-identity_binary64_2487`
21×	`times-frac_binary64_2493`
19×	`add-cube-cbrt_binary64_2522`
11×	`sqrt-prod_binary64_2503`
10×	`difference-of-squares_binary64_2456` `distribute-lft-out--_binary64_2439` `add-log-exp_binary64_2526`
7×	`cancel-sign-sub-inv_binary64_2453` `associate-/l*_binary64_2432`
6×	`add-exp-log_binary64_2525` `add-cbrt-cube_binary64_2523`
5×	`distribute-rgt-neg-in_binary64_2445` `pow1_binary64_2548`
4×	`flip--_binary64_2462` `flip3--_binary64_2491`
3×	`diff-log_binary64_2579` `associate-/r*_binary64_2431`
2×	`sub-neg_binary64_2480` `sqrt-div_binary64_2504` `associate-/l/_binary64_2434`
1×	`neg-log_binary64_2580` `frac-2neg_binary64_2498` `associate--l-_binary64_2425` `clear-num_binary64_2486` `div-sub_binary64_2492` `div-inv_binary64_2484` `sqrt-pow1_binary64_2505` `div-exp_binary64_2538` `rem-sqrt-square_binary64_2500` `pow1/2_binary64_2567` `neg-sub0_binary64_2482` `cbrt-undiv_binary64_2521`

Counts

4 → 96

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))) c)
11.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series458.0ms (6%)

Counts

4 → 12

Calls

4 calls:

137.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))) c)
131.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
126.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
64.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5143	2961

prune251.0ms (3.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	107	13	120

Merged error: 5.2b

Counts

120 → 13

Compiler

Compiled 5242 to 3482 computations (33.6% saved)

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
22.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
22.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
22.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite38.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_2509`
13×	`sqrt-prod_binary64_2503` `*-un-lft-identity_binary64_2487`
9×	`add-cube-cbrt_binary64_2522`
8×	`add-log-exp_binary64_2526`
7×	`pow1_binary64_2548`
6×	`cancel-sign-sub-inv_binary64_2453` `sqrt-div_binary64_2504`
4×	`add-exp-log_binary64_2525` `flip--_binary64_2462` `add-cbrt-cube_binary64_2523` `flip3--_binary64_2491`
3×	`sqrt-pow1_binary64_2505` `rem-sqrt-square_binary64_2500` `pow1/2_binary64_2567`
2×	`diff-log_binary64_2579` `difference-of-squares_binary64_2456` `distribute-lft-out--_binary64_2439`
1×	`sub-neg_binary64_2480` `neg-log_binary64_2580` `distribute-rgt-neg-in_binary64_2445` `associate--l-_binary64_2425` `neg-sub0_binary64_2482`

Counts

4 → 68

Calls

4 calls:

11.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series478.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

130.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
122.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
116.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
111.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5062	1640

prune218.0ms (2.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	79	14	93

Merged error: 5.2b

Counts

93 → 14

Compiler

Compiled 5355 to 2882 computations (46.2% saved)

regimes293.0ms (3.8%)

Compiler: Compiled 1567 to 1207 computations (23% saved)

bsearch112.0ms (1.5%)

Steps

Iters	Range	Point
11	1.533617338164353e+90	5.978655733152044e+113	1.6151502496309929e+106
8	-3.7448139070813874e-255	-1.8350954815756547e-259	-1.944440046579189e-259
6	-3.1236249989981952e+137	-3.4656754976857467e+136	-3.0772718270963217e+137

Iters

Range

Point

1.533617338164353e+90

5.978655733152044e+113

1.6151502496309929e+106

-3.7448139070813874e-255

-1.8350954815756547e-259

-1.944440046579189e-259

-3.1236249989981952e+137

-3.4656754976857467e+136

-3.0772718270963217e+137

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	150	85
1	150	85

end0.0ms (0%)

sample1.6s (20.3%)

Algorithm

1×

intervals

Results

307.0ms	1165×	body	2048	valid
284.0ms	5167×	body	128	valid
151.0ms	715×	body	1024	valid
130.0ms	409×	body	4096	valid
60.0ms	380×	body	512	valid
37.0ms	678×	body	128	nan
21.0ms	398×	body	128	invalid
17.0ms	164×	body	256	valid

Compiler

Compiled 409 to 312 computations (23.7% saved)

Details

analyze470.0ms (6.1%)

sample37.0ms (0.5%)

simplify466.0ms (6.1%)

prune6.0ms (0.1%)

localize12.0ms (0.2%)

rewrite42.0ms (0.6%)

series544.0ms (7.1%)

simplify56.0ms (0.7%)

prune664.0ms (8.7%)

localize12.0ms (0.2%)

rewrite68.0ms (0.9%)

series965.0ms (12.6%)

simplify83.0ms (1.1%)

prune611.0ms (8%)

localize13.0ms (0.2%)

rewrite44.0ms (0.6%)

series458.0ms (6%)

simplify66.0ms (0.9%)

prune251.0ms (3.3%)

localize27.0ms (0.4%)

rewrite38.0ms (0.5%)

series478.0ms (6.2%)

simplify77.0ms (1%)

prune218.0ms (2.8%)

regimes293.0ms (3.8%)

bsearch112.0ms (1.5%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.6s (20.3%)

Profiling