Details

analyze410.0ms (3.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5830	21
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample265.0ms (2.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
10.0ms	266×	body	128	nan

Compiler

Compiled 7859 to 7334 computations (6.7% saved)

simplify273.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (264.0ms)

Iter	Nodes	Cost
0	5830	21

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

0.6b

Counts

2 → 1

Compiler

Compiled 28 to 24 computations (14.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 6 (-.f64 x 1))
0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.6b	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

rewrite133.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_23629`
12×	`*-un-lft-identity_binary64_23607`
10×	`add-exp-log_binary64_23645` `add-cbrt-cube_binary64_23643`
9×	`add-cube-cbrt_binary64_23642`
8×	`add-log-exp_binary64_23646`
7×	`associate-r_binary64_23547`
6×	`cancel-sign-sub-inv_binary64_23573`
5×	`pow1_binary64_23668`
4×	`associate-*r/_binary64_23549` `distribute-rgt-in_binary64_23557` `distribute-lft-in_binary64_23556`
3×	`times-frac_binary64_23613` `associate-/r_binary64_23551` `sum-log_binary64_23698` `associate-l*_binary64_23548`
2×	`prod-exp_binary64_23656` `div-exp_binary64_23658` `cbrt-undiv_binary64_23641` `cbrt-unprod_binary64_23640` `flip3--_binary64_23611` `associate-/l/_binary64_23554` `flip--_binary64_23582` `flip3-+_binary64_23610` `associate-/r/_binary64_23553` `flip-+_binary64_23581` `sub-neg_binary64_23600` `difference-of-squares_binary64_23576`
1×	`frac-2neg_binary64_23618` `clear-num_binary64_23606` `div-inv_binary64_23604` `associate-/l_binary64_23552` `associate-+l+_binary64_23540` `+-commutative_binary64_23537` `pow-prod-down_binary64_23678` `unswap-sqr_binary64_23575` `difference-of-sqr-1_binary64_23577` `distribute-lft-out--_binary64_23559` `-commutative_binary64_23538`

Counts

3 → 70

Calls

3 calls:

12.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
7.0ms	(*.f64 6 (-.f64 x 1))
6.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 1600 to 1190 computations (25.6% saved)

series106.0ms (0.9%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

48.0ms	(*.f64 6 (-.f64 x 1))
28.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
17.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 320 to 271 computations (15.3% saved)

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5173	1147

prune109.0ms (1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	78	4	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	4	83

Error

Counts

83 → 4

Compiler

Compiled 1556 to 1149 computations (26.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))
0.0b	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))
0.0b	(/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))

rewrite212.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`add-sqr-sqrt_binary64_23629`
48×	`*-un-lft-identity_binary64_23607`
43×	`times-frac_binary64_23613`
27×	`add-cube-cbrt_binary64_23642` `associate-r_binary64_23547`
14×	`difference-of-squares_binary64_23576`
10×	`add-exp-log_binary64_23645` `add-cbrt-cube_binary64_23643`
8×	`add-log-exp_binary64_23646`
7×	`difference-of-sqr-1_binary64_23577` `distribute-lft-out--_binary64_23559` `associate-/l*_binary64_23552`
5×	`pow1_binary64_23668`
4×	`associate-/r/_binary64_23553`
3×	`flip3-+_binary64_23610` `flip-+_binary64_23581` `associate-/r_binary64_23551` `associate-l*_binary64_23548` `sum-log_binary64_23698`
2×	`div-exp_binary64_23658` `cbrt-undiv_binary64_23641` `div-inv_binary64_23604` `associate-/l/_binary64_23554` `prod-exp_binary64_23656` `cbrt-unprod_binary64_23640` `unswap-sqr_binary64_23575`
1×	`frac-2neg_binary64_23618` `div-sub_binary64_23612` `clear-num_binary64_23606` `flip3--_binary64_23611` `flip--_binary64_23582` `pow-prod-down_binary64_23678` `associate-r/_binary64_23549` `-commutative_binary64_23538` `associate-+l+_binary64_23540` `+-commutative_binary64_23537`

Counts

3 → 107

Calls

3 calls:

16.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))
11.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
6.0ms	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 2917 to 2119 computations (27.4% saved)

series72.0ms (0.6%)

Error

Counts

3 → 9

Calls

3 calls:

26.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
25.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))
18.0ms	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 187 to 177 computations (5.3% saved)

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5707	2799

prune164.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	116	4	120

Error

Counts

120 → 4

Compiler

Compiled 2763 to 2010 computations (27.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))
0.0b	(.f64 6 (.f64 (-.f64 x 1) (/.f64 1 (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))))
0.0b	(/.f64 1 (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
0.1b	(.f64 (-.f64 x 1) (/.f64 1 (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))

rewrite248.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`add-exp-log_binary64_23645` `add-sqr-sqrt_binary64_23629`
25×	`*-un-lft-identity_binary64_23607`
21×	`add-cube-cbrt_binary64_23642`
20×	`add-cbrt-cube_binary64_23643` `times-frac_binary64_23613`
16×	`associate-r_binary64_23547`
13×	`prod-exp_binary64_23656`
12×	`pow1_binary64_23668`
10×	`associate-l_binary64_23548`
9×	`add-log-exp_binary64_23646`
8×	`associate-*r/_binary64_23549`
7×	`cbrt-unprod_binary64_23640`
6×	`div-exp_binary64_23658`
4×	`pow-prod-down_binary64_23678` `flip3--_binary64_23611` `frac-times_binary64_23617` `flip--_binary64_23582` `associate-*l/_binary64_23550` `associate-/r/_binary64_23553`
3×	`1-exp_binary64_23651` `rec-exp_binary64_23657` `cbrt-undiv_binary64_23641` `unswap-sqr_binary64_23575` `flip3-+_binary64_23610` `flip-+_binary64_23581` `associate-/l_binary64_23552` `associate-/r_binary64_23551` `sum-log_binary64_23698`
2×	`un-div-inv_binary64_23605` `difference-of-squares_binary64_23576` `div-inv_binary64_23604` `*-commutative_binary64_23538`
1×	`difference-of-sqr-1_binary64_23577` `distribute-lft-out--_binary64_23559` `inv-pow_binary64_23692` `pow-flip_binary64_23681` `frac-2neg_binary64_23618` `clear-num_binary64_23606` `associate-+l+_binary64_23540` `+-commutative_binary64_23537`

Counts

4 → 120

Calls

4 calls:

18.0ms	(.f64 6 (.f64 (-.f64 x 1) (/.f64 1 (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))))
17.0ms	(.f64 (-.f64 x 1) (/.f64 1 (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))
7.0ms	(/.f64 1 (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
6.0ms	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 3206 to 2444 computations (23.8% saved)

series100.0ms (0.9%)

Error

Counts

4 → 12

Calls

4 calls:

27.0ms	(/.f64 1 (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
27.0ms	(.f64 (-.f64 x 1) (/.f64 1 (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))
25.0ms	(.f64 6 (.f64 (-.f64 x 1) (/.f64 1 (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))))
15.0ms	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 316 to 291 computations (7.9% saved)

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4967	2524
1	4967	2524

prune170.0ms (1.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	132	4	136

Error

Counts

136 → 4

Compiler

Compiled 2804 to 2112 computations (24.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 6 (*.f64 6 x))
0.0b	(+.f64 x (*.f64 4 (sqrt.f64 x)))
0.6b	(/.f64 (-.f64 6 (.f64 6 x)) (-.f64 -1 (+.f64 x (.f64 4 (sqrt.f64 x)))))

rewrite114.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-sqr-sqrt_binary64_23629`
21×	`*-un-lft-identity_binary64_23607`
15×	`times-frac_binary64_23613`
13×	`add-cube-cbrt_binary64_23642`
7×	`add-log-exp_binary64_23646`
5×	`add-exp-log_binary64_23645` `add-cbrt-cube_binary64_23643` `associate-/r*_binary64_23551`
4×	`difference-of-squares_binary64_23576` `distribute-lft-out--_binary64_23559`
3×	`pow1_binary64_23668` `flip3--_binary64_23611` `flip--_binary64_23582` `associate-/l*_binary64_23552`
2×	`associate-/l/_binary64_23554` `associate-/r/_binary64_23553`
1×	`div-exp_binary64_23658` `cbrt-undiv_binary64_23641` `frac-2neg_binary64_23618` `div-sub_binary64_23612` `clear-num_binary64_23606` `div-inv_binary64_23604` `sum-log_binary64_23698` `flip3-+_binary64_23610` `flip-+_binary64_23581` `distribute-rgt-out_binary64_23560` `+-commutative_binary64_23537` `diff-log_binary64_23699` `sub-neg_binary64_23600` `cancel-sign-sub-inv_binary64_23573`

Counts

3 → 64

Calls

3 calls:

8.0ms	(/.f64 (-.f64 6 (.f64 6 x)) (-.f64 -1 (+.f64 x (.f64 4 (sqrt.f64 x)))))
3.0ms	(-.f64 6 (*.f64 6 x))
3.0ms	(+.f64 x (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 1638 to 1225 computations (25.2% saved)

series95.0ms (0.8%)

Error

Counts

3 → 12

Calls

3 calls:

41.0ms	(-.f64 6 (*.f64 6 x))
26.0ms	(/.f64 (-.f64 6 (.f64 6 x)) (-.f64 -1 (+.f64 x (.f64 4 (sqrt.f64 x)))))
20.0ms	(+.f64 x (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 354 to 301 computations (15% saved)

simplify102.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4899	1633
1	4899	1633

prune99.0ms (0.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	76	4	80

Error

Counts

80 → 4

Compiler

Compiled 1605 to 1199 computations (25.3% saved)

regimes156.0ms (1.4%)

Accuracy

Total 0.0b remaining (99.7%)

Threshold costs 0.0b (99.7%)

Compiler

Compiled 1679 to 1387 computations (17.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	21
1	26	21

end0.0ms (0%)

sample8.3s (72.9%)

Algorithm

1×

intervals

Results

330.0ms	8000×	body	128	valid
317.0ms	7950×	body	128	nan

Compiler

Compiled 240064 to 223973 computations (6.7% saved)

Details

analyze410.0ms (3.6%)

sample265.0ms (2.3%)

simplify273.0ms (2.4%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite133.0ms (1.2%)

series106.0ms (0.9%)

simplify54.0ms (0.5%)

prune109.0ms (1%)

localize9.0ms (0.1%)

rewrite212.0ms (1.9%)

series72.0ms (0.6%)

simplify85.0ms (0.7%)

prune164.0ms (1.4%)

localize10.0ms (0.1%)

rewrite248.0ms (2.2%)

series100.0ms (0.9%)

simplify79.0ms (0.7%)

prune170.0ms (1.5%)

localize9.0ms (0.1%)

rewrite114.0ms (1%)

series95.0ms (0.8%)

simplify102.0ms (0.9%)

prune99.0ms (0.9%)

regimes156.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample8.3s (72.9%)

Profiling