Details

analyze64.0ms (5.6%)

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
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
54.6%	42.1%	3.2%	7
63.2%	30.4%	6.3%	8
69.9%	21.5%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
82%	7%	11%	12
83.9%	4.4%	11.8%	13
84.7%	3.5%	11.8%	14

sample17.0ms (1.4%)

Algorithm

1×

intervals

Results

5.0ms	198×	body	80	valid
2.0ms	18×	body	1280	valid
1.0ms	19×	body	320	valid
1.0ms	12×	body	640	valid
0.0ms	9×	body	160	valid
0.0ms	1×	body	80	invalid

simplify103.0ms (8.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	1642	9
1	1642	9

prune5.0ms (0.4%)

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: 13.5b

Counts

2 → 1

localize5.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1.0 x) (-.f64 1.0 y))
2.3b	(+.f64 x (*.f64 (-.f64 1.0 x) (-.f64 1.0 y)))

rewrite16.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
6×	`flip3--_binary64` `flip--_binary64`
5×	`associate-r_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `frac-times_binary64`
2×	`associate-r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-+r+_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 45

Calls

2 calls:

10.0ms	(*.f64 (-.f64 1.0 x) (-.f64 1.0 y))
4.0ms	(+.f64 x (*.f64 (-.f64 1.0 x) (-.f64 1.0 y)))

series14.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(+.f64 x (*.f64 (-.f64 1.0 x) (-.f64 1.0 y)))
5.0ms	(*.f64 (-.f64 1.0 x) (-.f64 1.0 y))

simplify38.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5073	575

prune76.0ms (6.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	2	52

Merged error: 0b

Counts

52 → 2

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (-.f64 1.0 x) y)

rewrite8.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
5×	`-un-lft-identity_binary64` `associate-l*_binary64`
3×	`pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

7.0ms

(*.f64 (-.f64 1.0 x) y)

series6.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(*.f64 (-.f64 1.0 x) y)

simplify45.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5237	162

prune32.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Merged error: 0b

Counts

27 → 2

localize7.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 1.0 x) y)
0.1b	(pow.f64 (*.f64 (-.f64 1.0 x) y) 3)
40.0b	(cbrt.f64 (pow.f64 (*.f64 (-.f64 1.0 x) y) 3))

rewrite19.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-*l/_binary64`
5×	`associate-l_binary64`
4×	`cube-div_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64` `flip3--_binary64` `associate-r_binary64` `flip--_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

3 → 65

Calls

3 calls:

7.0ms	(pow.f64 (*.f64 (-.f64 1.0 x) y) 3)
7.0ms	(*.f64 (-.f64 1.0 x) y)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (-.f64 1.0 x) y) 3))

series27.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(pow.f64 (*.f64 (-.f64 1.0 x) y) 3)
9.0ms	(cbrt.f64 (pow.f64 (*.f64 (-.f64 1.0 x) y) 3))
6.0ms	(*.f64 (-.f64 1.0 x) y)

simplify49.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5043	575

prune84.0ms (7.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	74	2	76

Merged error: 0b

Counts

76 → 2

regimes67.0ms (5.8%)

Accuracy

Total 0.0b remaining (11.9%)

Threshold costs 0.0b (11.9%)

bsearch0.0ms (0%)

simplify5.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	158	7
1	158	7

end0.0ms (0%)

sample467.0ms (40.2%)

Algorithm

1×

intervals

Results

150.0ms	5860×	body	80	valid
69.0ms	769×	body	640	valid
51.0ms	449×	body	1280	valid
42.0ms	579×	body	320	valid
19.0ms	343×	body	160	valid
2.0ms	73×	body	80	invalid

Details

analyze64.0ms (5.6%)

sample17.0ms (1.4%)

simplify103.0ms (8.9%)

prune5.0ms (0.4%)

localize5.0ms (0.5%)

rewrite16.0ms (1.4%)

series14.0ms (1.2%)

simplify38.0ms (3.3%)

prune76.0ms (6.5%)

localize4.0ms (0.4%)

rewrite8.0ms (0.6%)

series6.0ms (0.5%)

simplify45.0ms (3.9%)

prune32.0ms (2.8%)

localize7.0ms (0.6%)

rewrite19.0ms (1.7%)

series27.0ms (2.4%)

simplify49.0ms (4.2%)

prune84.0ms (7.3%)

regimes67.0ms (5.8%)

bsearch0.0ms (0%)

simplify5.0ms (0.4%)

end0.0ms (0%)

sample467.0ms (40.2%)

Profiling