Details

analyze167.0ms (6.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	11	18
0	2	2
1	2	2

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
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	50%	6.3%	6
43.7%	43.7%	12.6%	7
59.3%	26.5%	14.1%	8
59.3%	22.6%	18%	9
67.1%	13.7%	19.2%	10
67.1%	11.5%	21.4%	11
71%	6.9%	22%	12
71%	5.8%	23.2%	13
73%	3.5%	23.5%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 13 to 13 computations (0% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

prune2.0ms (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

Error

19.8b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x x) y)
18.5b	(sqrt.f64 (+.f64 (*.f64 x x) y))

rewrite28.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

19.8b

Rules

4×	`add-log-exp_binary64_14780` `add-sqr-sqrt_binary64_14763`
3×	`pow1_binary64_14802` `add-cube-cbrt_binary64_14776` `sqrt-prod_binary64_14757` `*-un-lft-identity_binary64_14741`
2×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777` `flip3-+_binary64_14744` `sqrt-div_binary64_14758` `flip-+_binary64_14715`
1×	`pow1/2_binary64_14821` `sqrt-pow1_binary64_14759` `rem-sqrt-square_binary64_14754` `sum-log_binary64_14832` `+-commutative_binary64_14671`

Counts

2 → 26

Calls

2 calls:

5.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
4.0ms	(+.f64 (*.f64 x x) y)

Compiler

Compiled 355 to 89 computations (74.9% saved)

series130.0ms (4.7%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

62.0ms	(+.f64 (*.f64 x x) y)
54.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))

Compiler

Compiled 432 to 359 computations (16.9% saved)

simplify82.0ms (3%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4904	489
1	4904	489

prune33.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	4	51

Error

Counts

51 → 4

Compiler

Compiled 455 to 149 computations (67.3% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Error

Counts

4 → 4

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize4.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Error

Counts

4 → 4

Compiler

Compiled 21 to 16 computations (23.8% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

7.6b	(+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (.f64 x x))))
14.5b	(sqrt.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3)))
19.1b	(sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (.f64 x x)))))
31.1b	(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (.f64 x x))))))

rewrite268.0ms (9.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

59×	`sqrt-prod_binary64_14757`
52×	`*-un-lft-identity_binary64_14741`
42×	`times-frac_binary64_14747`
38×	`add-sqr-sqrt_binary64_14763`
36×	`add-cube-cbrt_binary64_14776`
8×	`distribute-lft-out_binary64_14692` `sqrt-div_binary64_14758`
7×	`associate-/l*_binary64_14686`
6×	`pow1_binary64_14802` `add-exp-log_binary64_14779` `add-log-exp_binary64_14780` `add-cbrt-cube_binary64_14777` `associate-/r*_binary64_14685`
5×	`flip3-+_binary64_14744` `flip-+_binary64_14715`
4×	`associate-+r+_binary64_14673`
2×	`associate-/l/_binary64_14688` `associate-/r/_binary64_14687` `pow1/2_binary64_14821` `sqrt-pow1_binary64_14759` `rem-sqrt-square_binary64_14754` `sub-neg_binary64_14734` `distribute-rgt-in_binary64_14691` `cancel-sign-sub-inv_binary64_14707` `distribute-lft-in_binary64_14690`
1×	`div-exp_binary64_14792` `cbrt-undiv_binary64_14775` `sqrt-undiv_binary64_14762` `frac-2neg_binary64_14752` `clear-num_binary64_14740` `div-inv_binary64_14738` `sum-log_binary64_14832` `+-commutative_binary64_14671`

Counts

4 → 118

Calls

4 calls:

20.0ms	(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (.f64 x x))))))
9.0ms	(sqrt.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3)))
6.0ms	(+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (.f64 x x))))
5.0ms	(sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (.f64 x x)))))

Compiler

Compiled 4496 to 2518 computations (44% saved)

series648.0ms (23.6%)

Error

Counts

4 → 56

Calls

4 calls:

194.0ms	(+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (.f64 x x))))
188.0ms	(sqrt.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3)))
123.0ms	(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (.f64 x x))))))
93.0ms	(sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (.f64 x x)))))

Compiler

Compiled 2417 to 1879 computations (22.3% saved)

simplify110.0ms (4%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4948	5314
1	4948	5314

prune246.0ms (8.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	174	4	178

Error

Counts

178 → 4

Compiler

Compiled 4967 to 2764 computations (44.4% saved)

regimes238.0ms (8.6%)

Accuracy

Total 0.5b remaining (99.7%)

Threshold costs 0.5b (99.7%)

Compiler

Compiled 1303 to 762 computations (41.5% saved)

bsearch31.0ms (1.1%)

Steps

Iters	Range		Point
8	6.100299001870361e+53	5.58788569813385e+57	5.507042569157648e+57
10	-1.2800095136329352e+165	-7.478383606142075e+153	-1.3506077002236376e+154

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	34
1	67	34

end0.0ms (0%)

sample698.0ms (25.4%)

Algorithm

1×

intervals

Results

217.0ms	8000×	body	128	valid
3.0ms	141×	body	128	nan

Compiler

Compiled 255 to 160 computations (37.3% saved)

Details

analyze167.0ms (6.1%)

sample15.0ms (0.6%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize8.0ms (0.3%)

rewrite28.0ms (1%)

series130.0ms (4.7%)

simplify82.0ms (3%)

prune33.0ms (1.2%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.2%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.2%)

prune2.0ms (0.1%)

localize13.0ms (0.5%)

rewrite268.0ms (9.8%)

series648.0ms (23.6%)

simplify110.0ms (4%)

prune246.0ms (8.9%)

regimes238.0ms (8.6%)

bsearch31.0ms (1.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample698.0ms (25.4%)

Profiling