Details

analyze2.1s (22.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample100.0ms (1.1%)

Algorithm

1×

intervals

Results

37.0ms	382×	body	80	invalid
21.0ms	256×	body	80	valid

simplify370.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (367.0ms)

Iter	Nodes	Cost
0	4955	29
1	4955	29

prune12.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 11.2b

Counts

2 → 1

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 c z) (.f64 t i))
4.3b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
4.9b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
5.0b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

10.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
7.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
4.0ms	(-.f64 (.f64 c z) (.f64 t i))

series88.0ms (1%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
25.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
24.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
13.0ms	(-.f64 (.f64 c z) (.f64 t i))

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4937	937
1	4937	937

prune272.0ms (2.9%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	67	22	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	22	90

Merged error: 8.5b

Counts

90 → 22

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.9b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
6.4b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
6.4b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
6.4b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 61

Calls

4 calls:

7.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))

series159.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
44.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
43.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
25.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4950	897
1	4950	897

prune222.0ms (2.4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	21	21
Picked	1	0	1
Done	0	0	0
Total	73	22	95

Merged error: 8.5b

Counts

95 → 22

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.0b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
6.4b	(cbrt.f64 (-.f64 (.f64 c a) (.f64 y i)))
6.4b	(cbrt.f64 (-.f64 (.f64 c a) (.f64 i y)))
6.4b	(cbrt.f64 (-.f64 (.f64 c a) (.f64 i y)))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 61

Calls

4 calls:

7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c a) (.f64 i y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c a) (.f64 i y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c a) (.f64 y i)))

series157.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(cbrt.f64 (-.f64 (.f64 c a) (.f64 i y)))
43.0ms	(cbrt.f64 (-.f64 (.f64 c a) (.f64 i y)))
43.0ms	(cbrt.f64 (-.f64 (.f64 c a) (.f64 y i)))
25.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4964	897
1	4964	897

prune221.0ms (2.4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	21	21
Picked	1	0	1
Done	0	0	0
Total	73	22	95

Merged error: 8.5b

Counts

95 → 22

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.0b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
6.2b	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
6.2b	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))
6.2b	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 61

Calls

4 calls:

7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))

series158.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))
43.0ms	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))
43.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
25.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4960	897
1	4960	897

prune90.0ms (1%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	1	20	21
Picked	1	0	1
Done	0	0	0
Total	72	23	95

Merged error: 8.4b

Counts

95 → 23

regimes2.3s (25.5%)

Accuracy

Total 3.7b remaining (31.3%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	539	52
1	539	52

end0.0ms (0%)

sample2.6s (27.7%)

Algorithm

1×

intervals

Results

952.0ms	10922×	body	80	invalid
678.0ms	8000×	body	80	valid

Details

analyze2.1s (22.5%)

sample100.0ms (1.1%)

simplify370.0ms (4%)

prune12.0ms (0.1%)

localize20.0ms (0.2%)

rewrite30.0ms (0.3%)

series88.0ms (1%)

simplify52.0ms (0.6%)

prune272.0ms (2.9%)

localize27.0ms (0.3%)

rewrite21.0ms (0.2%)

series159.0ms (1.7%)

simplify42.0ms (0.5%)

prune222.0ms (2.4%)

localize30.0ms (0.3%)

rewrite21.0ms (0.2%)

series157.0ms (1.7%)

simplify42.0ms (0.5%)

prune221.0ms (2.4%)

localize31.0ms (0.3%)

rewrite21.0ms (0.2%)

series158.0ms (1.7%)

simplify41.0ms (0.4%)

prune90.0ms (1%)

regimes2.3s (25.5%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

end0.0ms (0%)

sample2.6s (27.7%)

Profiling