Details

analyze663.0ms (24.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
23.4%	74.9%	1.8%	11
27.3%	69%	3.7%	12
36.6%	56.5%	6.8%	13
40.5%	52%	7.4%	14

sample23.0ms (0.8%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	72×	body	80	invalid

simplify24.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	437	7
1	437	7

prune12.0ms (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: 0.1b

Counts

2 → 2

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 t (-.f64 x z))
7.0b	(.f64 y (.f64 t (-.f64 x z)))

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

8.0ms	(.f64 y (.f64 t (-.f64 x z)))
7.0ms	(*.f64 t (-.f64 x z))

series233.0ms (8.6%)

Counts

2 → 6

Calls

2 calls:

219.0ms	(*.f64 t (-.f64 x z))
13.0ms	(.f64 y (.f64 t (-.f64 x z)))

simplify37.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5277	393

prune72.0ms (2.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	50	4	54
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	50	6	56

Merged error: 0.0b

Counts

56 → 6

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

6.0b	(.f64 (.f64 y t) (-.f64 x z))

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`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` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 (*.f64 y t) (-.f64 x z))

series13.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

13.0ms

(*.f64 (*.f64 y t) (-.f64 x z))

simplify43.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5019	214

prune42.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	27	6	33

Merged error: 0.0b

Counts

33 → 6

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

6.0b	(.f64 (.f64 y t) (-.f64 x z))
9.4b	(cbrt.f64 (.f64 (.f64 y t) (-.f64 x z)))
9.4b	(cbrt.f64 (.f64 (.f64 y t) (-.f64 x z)))
9.4b	(cbrt.f64 (.f64 (.f64 y t) (-.f64 x z)))

rewrite28.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-*r/_binary64`
7×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64`
5×	`associate-r_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `prod-exp_binary64` `cbrt-prod_binary64`
2×	`sub-neg_binary64`
1×	`distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

4 → 57

Calls

4 calls:

8.0ms	(.f64 (.f64 y t) (-.f64 x z))
6.0ms	(cbrt.f64 (.f64 (.f64 y t) (-.f64 x z)))
6.0ms	(cbrt.f64 (.f64 (.f64 y t) (-.f64 x z)))
6.0ms	(cbrt.f64 (.f64 (.f64 y t) (-.f64 x z)))

series135.0ms (5%)

Counts

4 → 12

Calls

4 calls:

41.0ms	(cbrt.f64 (.f64 (.f64 y t) (-.f64 x z)))
40.0ms	(cbrt.f64 (.f64 (.f64 y t) (-.f64 x z)))
39.0ms	(cbrt.f64 (.f64 (.f64 y t) (-.f64 x z)))
15.0ms	(.f64 (.f64 y t) (-.f64 x z))

simplify48.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4950	643
1	4950	643

prune76.0ms (2.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	69	6	75

Merged error: 0.0b

Counts

75 → 6

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.8b	(-.f64 (.f64 x y) (.f64 z y))
8.9b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

7.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
4.0ms	(-.f64 (.f64 x y) (.f64 z y))

series27.0ms (1%)

Counts

2 → 6

Calls

2 calls:

16.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
11.0ms	(-.f64 (.f64 x y) (.f64 z y))

simplify47.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5098	319

prune38.0ms (1.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	37	8	45

Merged error: 0.0b

Counts

45 → 8

regimes520.0ms (19.2%)

Accuracy

Total 0.8b remaining (96.7%)

Threshold costs 0.8b (96.7%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	87
1	60	87

end0.0ms (0%)

sample560.0ms (20.7%)

Algorithm

1×

intervals

Results

253.0ms	8000×	body	80	valid
62.0ms	1872×	body	80	invalid

Details

analyze663.0ms (24.5%)

sample23.0ms (0.8%)

simplify24.0ms (0.9%)

prune12.0ms (0.4%)

localize6.0ms (0.2%)

rewrite16.0ms (0.6%)

series233.0ms (8.6%)

simplify37.0ms (1.4%)

prune72.0ms (2.6%)

localize6.0ms (0.2%)

rewrite9.0ms (0.3%)

series13.0ms (0.5%)

simplify43.0ms (1.6%)

prune42.0ms (1.5%)

localize10.0ms (0.4%)

rewrite28.0ms (1%)

series135.0ms (5%)

simplify48.0ms (1.8%)

prune76.0ms (2.8%)

localize7.0ms (0.2%)

rewrite11.0ms (0.4%)

series27.0ms (1%)

simplify47.0ms (1.7%)

prune38.0ms (1.4%)

regimes520.0ms (19.2%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample560.0ms (20.7%)

Profiling