Details

analyze285.0ms (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
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	240×	body	128	valid
1.0ms	28×	body	128	invalid
1.0ms	7×	body	512	valid
0.0ms	4×	body	1024	valid
0.0ms	5×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify96.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune9.0ms (0.2%)

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

0.1b

Counts

2 → 2

Compiler

Compiled 25 to 23 computations (8% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 d1 3) (.f64 d1 d2))
0.0b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
0.0b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
0.0b	(+.f64 (.f64 d1 3) (.f64 d1 d2))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_2845`
4×	`sum-log_binary64_2897`
3×	`distribute-lft-out_binary64_2757`
2×	`add-sqr-sqrt_binary64_2828` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `*-un-lft-identity_binary64_2806` `flip-+_binary64_2780` `add-cube-cbrt_binary64_2841` `flip3-+_binary64_2809` `pow1_binary64_2867` `+-commutative_binary64_2736`
1×	`associate-+l+_binary64_2739`

Counts

2 → 26

Calls

4 calls:

7.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
4.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))
0.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
0.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

series211.0ms (5.3%)

Counts

2 → 24

Calls

2 calls:

142.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
68.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

Compiler

Compiled 341 to 301 computations (11.7% saved)

simplify75.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4955	530
1	4955	530

prune46.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Error

0.0b

Counts

52 → 4

Compiler

Compiled 605 to 339 computations (44% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 d1 (+.f64 3 d2)) (.f64 d1 d3))
0.0b	(*.f64 d1 (+.f64 3 d2))
0.0b	(*.f64 d1 (+.f64 3 d2))
0.0b	(+.f64 (.f64 d1 (+.f64 3 d2)) (.f64 d1 d3))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
4×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-log-exp_binary64_2845` `add-cube-cbrt_binary64_2841` `associate-r_binary64_2746` `pow1_binary64_2867`
3×	`associate-l_binary64_2747`
2×	`distribute-lft-out_binary64_2757` `distribute-lft-in_binary64_2755` `associate-+l+_binary64_2739` `distribute-rgt-in_binary64_2756` `flip-+_binary64_2780` `flip3-+_binary64_2809` `associate-*r/_binary64_2748`
1×	`*-commutative_binary64_2737` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `sum-log_binary64_2897` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774` `+-commutative_binary64_2736`

Counts

2 → 37

Calls

4 calls:

8.0ms	(*.f64 d1 (+.f64 3 d2))
7.0ms	(+.f64 (.f64 d1 (+.f64 3 d2)) (.f64 d1 d3))
0.0ms	(*.f64 d1 (+.f64 3 d2))
0.0ms	(+.f64 (.f64 d1 (+.f64 3 d2)) (.f64 d1 d3))

series197.0ms (5%)

Counts

2 → 24

Calls

2 calls:

139.0ms	(+.f64 (.f64 d1 (+.f64 3 d2)) (.f64 d1 d3))
57.0ms	(*.f64 d1 (+.f64 3 d2))

Compiler

Compiled 341 to 301 computations (11.7% saved)

simplify58.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5196	597

prune48.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	60	5	65

Error

0.0b

Counts

65 → 5

Compiler

Compiled 734 to 415 computations (43.5% saved)

localize8.0ms (0.2%)

Local error

Found 6 expressions with local error:

0.3b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 3 d2))) (sqrt.f64 (+.f64 3 d2)))
0.3b	(*.f64 d1 (sqrt.f64 (+.f64 3 d2)))
0.0b	(+.f64 (.f64 (.f64 d1 (sqrt.f64 (+.f64 3 d2))) (sqrt.f64 (+.f64 3 d2))) (*.f64 d1 d3))
0.0b	(+.f64 (.f64 (.f64 d1 (sqrt.f64 (+.f64 3 d2))) (sqrt.f64 (+.f64 3 d2))) (*.f64 d1 d3))
0.3b	(*.f64 d1 (sqrt.f64 (+.f64 3 d2)))
0.3b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 3 d2))) (sqrt.f64 (+.f64 3 d2)))

rewrite41.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`sqrt-div_binary64_2823` `associate-r_binary64_2746`
12×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
10×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `associate-*r/_binary64_2748` `pow1_binary64_2867`
9×	`sqrt-prod_binary64_2822`
8×	`flip-+_binary64_2780` `add-cube-cbrt_binary64_2841` `flip3-+_binary64_2809`
5×	`add-log-exp_binary64_2845`
4×	`frac-times_binary64_2816` `associate-l_binary64_2747` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `pow-prod-down_binary64_2877`
2×	`distribute-lft-out_binary64_2757` `-commutative_binary64_2737` `associate-l/_binary64_2749` `unswap-sqr_binary64_2774`
1×	`sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

3 → 66

Calls

6 calls:

14.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 3 d2))) (sqrt.f64 (+.f64 3 d2)))
13.0ms	(+.f64 (.f64 (.f64 d1 (sqrt.f64 (+.f64 3 d2))) (sqrt.f64 (+.f64 3 d2))) (*.f64 d1 d3))
8.0ms	(*.f64 d1 (sqrt.f64 (+.f64 3 d2)))
0.0ms	(+.f64 (.f64 (.f64 d1 (sqrt.f64 (+.f64 3 d2))) (sqrt.f64 (+.f64 3 d2))) (*.f64 d1 d3))
0.0ms	(*.f64 d1 (sqrt.f64 (+.f64 3 d2)))

series281.0ms (7.1%)

Counts

3 → 33

Calls

3 calls:

142.0ms	(+.f64 (.f64 (.f64 d1 (sqrt.f64 (+.f64 3 d2))) (sqrt.f64 (+.f64 3 d2))) (*.f64 d1 d3))
77.0ms	(*.f64 d1 (sqrt.f64 (+.f64 3 d2)))
61.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 3 d2))) (sqrt.f64 (+.f64 3 d2)))

Compiler

Compiled 629 to 543 computations (13.7% saved)

simplify56.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5722	1255

prune86.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	99	5	104

Error

0.0b

Counts

104 → 5

Compiler

Compiled 1639 to 1017 computations (37.9% saved)

localize11.0ms (0.3%)

Local error

Found 8 expressions with local error:

9.2b	(/.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))) (-.f64 3 d2))
6.4b	(.f64 d1 (-.f64 9 (.f64 d2 d2)))
0.0b	(+.f64 (/.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))) (-.f64 3 d2)) (*.f64 d1 d3))
0.0b	(-.f64 9 (*.f64 d2 d2))
0.0b	(-.f64 9 (*.f64 d2 d2))
0.0b	(+.f64 (/.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))) (-.f64 3 d2)) (*.f64 d1 d3))
6.4b	(.f64 d1 (-.f64 9 (.f64 d2 d2)))
9.2b	(/.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))) (-.f64 3 d2))

rewrite39.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_2828`
12×	`*-un-lft-identity_binary64_2806`
11×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
8×	`add-log-exp_binary64_2845` `add-cube-cbrt_binary64_2841`
6×	`pow1_binary64_2867`
5×	`times-frac_binary64_2812` `associate-/r*_binary64_2750`
4×	`flip3--_binary64_2810` `flip--_binary64_2781` `associate-r_binary64_2746` `associate-*r/_binary64_2748` `difference-of-squares_binary64_2775`
3×	`associate-l_binary64_2747` `cancel-sign-sub-inv_binary64_2772` `sub-neg_binary64_2799`
2×	`associate-/l/_binary64_2753` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `distribute-lft-in_binary64_2755` `distribute-lft-out--_binary64_2758` `distribute-rgt-in_binary64_2756` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `associate-/r/_binary64_2752`
1×	`div-inv_binary64_2803` `-commutative_binary64_2737` `diff-log_binary64_2898` `flip-+_binary64_2780` `sum-log_binary64_2897` `flip3-+_binary64_2809` `clear-num_binary64_2805` `associate-/l_binary64_2751` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774` `frac-2neg_binary64_2817` `+-commutative_binary64_2736`

Counts

4 → 78

Calls

8 calls:

13.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))) (-.f64 3 d2))
11.0ms	(+.f64 (/.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))) (-.f64 3 d2)) (*.f64 d1 d3))
6.0ms	(.f64 d1 (-.f64 9 (.f64 d2 d2)))
3.0ms	(-.f64 9 (*.f64 d2 d2))
0.0ms	(-.f64 9 (*.f64 d2 d2))

series639.0ms (16.1%)

Counts

4 → 39

Calls

4 calls:

364.0ms	(+.f64 (/.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))) (-.f64 3 d2)) (*.f64 d1 d3))
144.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))) (-.f64 3 d2))
95.0ms	(.f64 d1 (-.f64 9 (.f64 d2 d2)))
36.0ms	(-.f64 9 (*.f64 d2 d2))

Compiler

Compiled 887 to 763 computations (14% saved)

simplify47.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5113	1696

prune107.0ms (2.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	2	0	2
Picked	0	1	1
Done	1	1	2
Total	119	3	122

Error

Counts

122 → 3

Compiler

Compiled 2068 to 1069 computations (48.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	181	492
1	181	492

regimes127.0ms (3.2%)

Compiler: Compiled 1005 to 891 computations (11.3% saved)

bsearch0.0ms (0%)

regimes41.0ms (1%)

Compiler: Compiled 105 to 153 computations (-45.7% saved)

bsearch0.0ms (0%)

regimes85.0ms (2.2%)

Compiler: Compiled 63 to 114 computations (-81% saved)

bsearch50.0ms (1.3%)

Steps

Iters	Range		Point
7	4.576077776052435e+155	6.77681068892772e+157	4.696201976590496e+155
7	-0.002269321912253517	-3.996115098967217e-05	-0.0016423919654486251
10	-4.0558625336345927e+52	-5.632099212621375e+38	-4.002034046307147e+52
3	-6.807569592671813e+87	-5.642572363497906e+87	-5.861009343968015e+87

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes59.0ms (1.5%)

Compiler: Compiled 48 to 96 computations (-100% saved)

bsearch19.0ms (0.5%)

Steps

Iters	Range		Point
7	4.576077776052435e+155	6.77681068892772e+157	4.696201976590496e+155
3	-6.807569592671813e+87	-5.642572363497906e+87	-5.715384690321276e+87

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes64.0ms (1.6%)

Compiler: Compiled 33 to 78 computations (-136.4% saved)

bsearch19.0ms (0.5%)

Steps

Iters	Range		Point
7	4.576077776052435e+155	6.77681068892772e+157	4.696201976590496e+155
3	-6.807569592671813e+87	-5.642572363497906e+87	-5.715384690321276e+87

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes28.0ms (0.7%)

Compiler: Compiled 24 to 66 computations (-175% saved)

bsearch0.0ms (0%)

regimes25.0ms (0.6%)

Compiler: Compiled 15 to 54 computations (-260% saved)

bsearch0.0ms (0%)

regimes22.0ms (0.5%)

Accuracy

Total 0.1b remaining (98%)

Threshold costs 0.1b (98%)

Compiler

Compiled 12 to 42 computations (-250% saved)

bsearch6.0ms (0.1%)

Compiler: Compiled 94 to 77 computations (18.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	124
1	53	124

end0.0ms (0%)

sample1.0s (25.3%)

Algorithm

1×

intervals

Results

231.0ms	7539×	body	128	valid
19.0ms	673×	body	128	invalid
16.0ms	157×	body	1024	valid
14.0ms	177×	body	512	valid
7.0ms	127×	body	256	valid

Compiler

Compiled 438 to 388 computations (11.4% saved)

Pareto

0.4450696136242029

Details

analyze285.0ms (7.2%)

sample18.0ms (0.5%)

simplify96.0ms (2.4%)

prune9.0ms (0.2%)

localize7.0ms (0.2%)

rewrite14.0ms (0.3%)

series211.0ms (5.3%)

simplify75.0ms (1.9%)

prune46.0ms (1.2%)

localize6.0ms (0.2%)

rewrite18.0ms (0.4%)

series197.0ms (5%)

simplify58.0ms (1.5%)

prune48.0ms (1.2%)

localize8.0ms (0.2%)

rewrite41.0ms (1%)

series281.0ms (7.1%)

simplify56.0ms (1.4%)

prune86.0ms (2.2%)

localize11.0ms (0.3%)

rewrite39.0ms (1%)

series639.0ms (16.1%)

simplify47.0ms (1.2%)

prune107.0ms (2.7%)

simplify9.0ms (0.2%)

regimes127.0ms (3.2%)

bsearch0.0ms (0%)

regimes41.0ms (1%)

bsearch0.0ms (0%)

regimes85.0ms (2.2%)

bsearch50.0ms (1.3%)

regimes59.0ms (1.5%)

bsearch19.0ms (0.5%)

regimes64.0ms (1.6%)

bsearch19.0ms (0.5%)

regimes28.0ms (0.7%)

bsearch0.0ms (0%)

regimes25.0ms (0.6%)

bsearch0.0ms (0%)

regimes22.0ms (0.5%)

bsearch6.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (25.3%)

Profiling