Details

analyze687.0ms (24.9%)

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
12.5%	85.6%	1.9%	11
19.8%	76.5%	3.7%	12
26.1%	64.4%	9.6%	13
31.7%	54.5%	13.7%	14

sample22.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	82×	body	80	invalid

simplify101.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	1581	9
1	1581	9

prune11.0ms (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: 0.0b

Counts

2 → 1

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.5%)

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

series31.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

19.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
12.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

simplify40.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5066	573

prune73.0ms (2.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	46	5	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	5	52

Merged error: 0b

Counts

52 → 5

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite35.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
13×	`associate-r_binary64`
12×	`associate-*l/_binary64`
11×	`add-log-exp_binary64`
10×	`add-cube-cbrt_binary64` `associate-l_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`flip3--_binary64` `flip--_binary64`
4×	`frac-add_binary64` `sum-log_binary64`
3×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `*-commutative_binary64`
1×	`associate-+r-_binary64` `neg-mul-1_binary64` `associate-+r+_binary64`

Counts

4 → 84

Calls

4 calls:

9.0ms	(+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x)))
9.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x))))
8.0ms	(*.f64 (-.f64 y z) (neg.f64 x))
7.0ms	(*.f64 (-.f64 y z) t)

series56.0ms (2%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x))))
19.0ms	(+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x)))
9.0ms	(*.f64 (-.f64 y z) (neg.f64 x))
9.0ms	(*.f64 (-.f64 y z) t)

simplify48.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5213	889

prune102.0ms (3.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	96	5	101

Merged error: 0b

Counts

101 → 5

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x)))
0.6b	(cbrt.f64 (-.f64 t x))
0.6b	(cbrt.f64 (-.f64 t x))
0.6b	(cbrt.f64 (-.f64 t x))

rewrite25.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`difference-of-squares_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x)))
3.0ms	(cbrt.f64 (-.f64 t x))
3.0ms	(cbrt.f64 (-.f64 t x))
3.0ms	(cbrt.f64 (-.f64 t x))

series135.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x)))
34.0ms	(cbrt.f64 (-.f64 t x))
32.0ms	(cbrt.f64 (-.f64 t x))
30.0ms	(cbrt.f64 (-.f64 t x))

simplify45.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5291	1060

prune123.0ms (4.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	113	5	118

Merged error: 0b

Counts

118 → 5

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x))) (+.f64 t x)))
0.9b	(-.f64 (.f64 t t) (.f64 x x))
5.4b	(.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x)))
20.3b	(/.f64 (.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x))) (+.f64 t x))

rewrite38.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64`
13×	`flip3--_binary64` `flip--_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l/_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `frac-times_binary64`
6×	`pow1_binary64`
5×	`associate-l_binary64`
4×	`associate-/r_binary64` `associate-r_binary64` `associate-r/_binary64` `times-frac_binary64` `associate-*l/_binary64`
3×	`sub-neg_binary64` `distribute-lft-out_binary64` `difference-of-squares_binary64`
2×	`flip3-+_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

13.0ms	(/.f64 (.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x))) (+.f64 t x))
10.0ms	(.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x)))
8.0ms	(+.f64 x (/.f64 (.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x))) (+.f64 t x)))
4.0ms	(-.f64 (.f64 t t) (.f64 x x))

series137.0ms (5%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(/.f64 (.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x))) (+.f64 t x))
49.0ms	(+.f64 x (/.f64 (.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x))) (+.f64 t x)))
30.0ms	(.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x)))
7.0ms	(-.f64 (.f64 t t) (.f64 x x))

simplify51.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4989	1341
1	4989	1341

prune104.0ms (3.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	2	0	2
Picked	1	0	1
Done	0	2	2
Total	101	4	105

Merged error: 0b

Counts

105 → 4

regimes269.0ms (9.8%)

Accuracy

Total 0.0b remaining (48.2%)

Threshold costs 0.0b (48.2%)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	229	13
1	229	13

end0.0ms (0%)

sample562.0ms (20.4%)

Algorithm

1×

intervals

Results

229.0ms	8000×	body	80	valid
71.0ms	2553×	body	80	invalid

Details

analyze687.0ms (24.9%)

sample22.0ms (0.8%)

simplify101.0ms (3.7%)

prune11.0ms (0.4%)

localize6.0ms (0.2%)

rewrite15.0ms (0.5%)

series31.0ms (1.1%)

simplify40.0ms (1.4%)

prune73.0ms (2.6%)

localize9.0ms (0.3%)

rewrite35.0ms (1.3%)

series56.0ms (2%)

simplify48.0ms (1.7%)

prune102.0ms (3.7%)

localize10.0ms (0.4%)

rewrite25.0ms (0.9%)

series135.0ms (4.9%)

simplify45.0ms (1.7%)

prune123.0ms (4.5%)

localize11.0ms (0.4%)

rewrite38.0ms (1.4%)

series137.0ms (5%)

simplify51.0ms (1.9%)

prune104.0ms (3.8%)

regimes269.0ms (9.8%)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

end0.0ms (0%)

sample562.0ms (20.4%)

Profiling