Details

analyze3.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.4%	13
66.6%	0%	33.4%	14

sample11.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

valid

simplify118.0ms (9.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4975	9
1	4975	9

prune4.0ms (0.3%)

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: 0.2b

Counts

2 → 1

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x x) (-.f64 3.0 (*.f64 x 2.0)))

rewrite8.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`-un-lft-identity_binary64` `sub-neg_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x x) (-.f64 3.0 (*.f64 x 2.0)))

series9.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

9.0ms

(*.f64 (*.f64 x x) (-.f64 3.0 (*.f64 x 2.0)))

simplify64.0ms (5%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4915	272
1	4915	272

prune46.0ms (3.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	20	6	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	6	27

Merged error: 0.0b

Counts

27 → 6

localize10.0ms (0.8%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 2.0 (pow.f64 (neg.f64 x) 3))
0.0b	(+.f64 (.f64 (.f64 x x) 3.0) (*.f64 2.0 (pow.f64 (neg.f64 x) 3)))
0.2b	(.f64 (.f64 x x) 3.0)

rewrite25.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`associate-r_binary64`
20×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`unpow-prod-down_binary64` `cube-prod_binary64`
10×	`add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64`
5×	`add-log-exp_binary64` `unswap-sqr_binary64`
4×	`cbrt-unprod_binary64` `associate-l_binary64`
3×	`pow-prod-down_binary64`
2×	`distribute-rgt-neg-out_binary64` `neg-mul-1_binary64` `sqr-pow_binary64` `cube-neg_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unsub-neg_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

3 → 77

Calls

3 calls:

10.0ms	(*.f64 2.0 (pow.f64 (neg.f64 x) 3))
7.0ms	(+.f64 (.f64 (.f64 x x) 3.0) (*.f64 2.0 (pow.f64 (neg.f64 x) 3)))
6.0ms	(.f64 (.f64 x x) 3.0)

series22.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(+.f64 (.f64 (.f64 x x) 3.0) (*.f64 2.0 (pow.f64 (neg.f64 x) 3)))
5.0ms	(*.f64 2.0 (pow.f64 (neg.f64 x) 3))
4.0ms	(.f64 (.f64 x x) 3.0)

simplify73.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5154	609

prune106.0ms (8.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	87	5	92

Merged error: 0.0b

Counts

92 → 5

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (-.f64 3.0 (.f64 x 2.0)))
0.2b	(.f64 x (.f64 x (-.f64 3.0 (*.f64 x 2.0))))

rewrite16.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`sub-neg_binary64` `associate-r/_binary64` `associate-l*_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

2 → 46

Calls

2 calls:

7.0ms	(.f64 x (.f64 x (-.f64 3.0 (*.f64 x 2.0))))
6.0ms	(.f64 x (-.f64 3.0 (.f64 x 2.0)))

series17.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(.f64 x (.f64 x (-.f64 3.0 (*.f64 x 2.0))))
8.0ms	(.f64 x (-.f64 3.0 (.f64 x 2.0)))

simplify42.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5524	490

prune68.0ms (5.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	51	6	57

Merged error: 0b

Counts

57 → 6

localize10.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (.f64 x 2.0)))
0.1b	(.f64 x (-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (*.f64 x 2.0))))
0.2b	(.f64 x (/.f64 (.f64 x (-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (.f64 x 2.0)))) (+.f64 3.0 (*.f64 x 2.0))))
0.3b	(/.f64 (.f64 x (-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (.f64 x 2.0)))) (+.f64 3.0 (.f64 x 2.0)))

rewrite40.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `times-frac_binary64`
5×	`associate-*r/_binary64`
4×	`cbrt-undiv_binary64` `associate-/r/_binary64` `div-exp_binary64`
3×	`associate-/r*_binary64` `sub-neg_binary64` `flip3--_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-/l/_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `div-inv_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64`

Counts

4 → 89

Calls

4 calls:

12.0ms	(.f64 x (/.f64 (.f64 x (-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (.f64 x 2.0)))) (+.f64 3.0 (*.f64 x 2.0))))
11.0ms	(/.f64 (.f64 x (-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (.f64 x 2.0)))) (+.f64 3.0 (.f64 x 2.0)))
10.0ms	(.f64 x (-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (*.f64 x 2.0))))
5.0ms	(-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (.f64 x 2.0)))

series55.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(/.f64 (.f64 x (-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (.f64 x 2.0)))) (+.f64 3.0 (.f64 x 2.0)))
17.0ms	(.f64 x (/.f64 (.f64 x (-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (.f64 x 2.0)))) (+.f64 3.0 (*.f64 x 2.0))))
12.0ms	(.f64 x (-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (*.f64 x 2.0))))
8.0ms	(-.f64 (.f64 3.0 3.0) (.f64 (.f64 x 2.0) (.f64 x 2.0)))

simplify66.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4967	1249
1	4967	1249

prune134.0ms (10.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	101	6	107

Merged error: 0b

Counts

107 → 6

regimes36.0ms (2.8%)

Accuracy

Total 0.2b remaining (91%)

Threshold costs 0.2b (91%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms (0%)

sample277.0ms (21.8%)

Algorithm

1×

intervals

Results

192.0ms

8000×

body

valid

Details

analyze3.0ms (0.3%)

sample11.0ms (0.9%)

simplify118.0ms (9.3%)

prune4.0ms (0.3%)

localize6.0ms (0.4%)

rewrite8.0ms (0.7%)

series9.0ms (0.7%)

simplify64.0ms (5%)

prune46.0ms (3.6%)

localize10.0ms (0.8%)

rewrite25.0ms (1.9%)

series22.0ms (1.7%)

simplify73.0ms (5.7%)

prune106.0ms (8.3%)

localize6.0ms (0.4%)

rewrite16.0ms (1.2%)

series17.0ms (1.4%)

simplify42.0ms (3.3%)

prune68.0ms (5.4%)

localize10.0ms (0.8%)

rewrite40.0ms (3.2%)

series55.0ms (4.3%)

simplify66.0ms (5.2%)

prune134.0ms (10.5%)

regimes36.0ms (2.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample277.0ms (21.8%)

Profiling