Details

analyze948.0ms (24.6%)

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
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.6%	0.2%	14

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	255×	body	80	valid
1.0ms	28×	body	80	invalid
0.0ms	1×	body	320	valid

simplify233.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (230.0ms)

Iter	Nodes	Cost
0	5600	11

prune8.0ms (0.2%)

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: 11.1b

Counts

2 → 1

localize14.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
10.9b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

10.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
7.0ms	(*.f64 y (-.f64 z t))

series29.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

20.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
9.0ms	(*.f64 y (-.f64 z t))

simplify43.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5975	485

prune83.0ms (2.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	4	60

Merged error: 0.0b

Counts

60 → 4

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
2.1b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `associate-/l_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 102

Calls

2 calls:

14.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
8.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

series32.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

20.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
12.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

simplify55.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5024	1163

prune117.0ms (3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	107	5	112

Merged error: 0.0b

Counts

112 → 5

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
2.3b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64`
194×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
90×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`div-sub_binary64`

Counts

2 → 194

Calls

2 calls:

12.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
9.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

series49.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

37.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
12.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

simplify58.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5078	3157

prune190.0ms (4.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	201	4	205

Merged error: 0.0b

Counts

205 → 4

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (-.f64 a t))
0.0b	(/.f64 1 (-.f64 z t))
10.9b	(/.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (-.f64 z t)))

rewrite90.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

1131×	`times-frac_binary64`
699×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
419×	`add-cube-cbrt_binary64`
140×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
93×	`associate-/r/_binary64`
47×	`div-inv_binary64`
46×	`flip3--_binary64` `flip--_binary64`
31×	`associate-/r*_binary64` `add-exp-log_binary64`
27×	`associate-/l*_binary64`
19×	`add-cbrt-cube_binary64` `div-exp_binary64`
10×	`cbrt-undiv_binary64`
4×	`pow1_binary64`
3×	`add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`associate-/l/_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

3 → 585

Calls

3 calls:

24.0ms	(/.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (-.f64 z t)))
6.0ms	(/.f64 1 (-.f64 z t))
6.0ms	(/.f64 y (-.f64 a t))

series49.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

34.0ms	(/.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (-.f64 z t)))
9.0ms	(/.f64 y (-.f64 a t))
5.0ms	(/.f64 1 (-.f64 z t))

simplify117.0ms (3%)

Algorithm

1×	egg-herbie

Counts

594 → 594

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5067	12289

prune623.0ms (16.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	594	0	594
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	594	4	598

Merged error: 0.0b

Counts

598 → 4

regimes334.0ms (8.7%)

Accuracy

Total 0.6b remaining (98%)

Threshold costs 0.6b (98%)

bsearch26.0ms (0.7%)

Steps

Iters	Range		Point
7	7.092666504979075e-93	3.8705227125424864e-91	1.0004809981351819e-91
5	-2.9819104114687414e-39	-1.2102695073600544e-39	-2.4894281283083287e-39

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	33
1	59	33

end0.0ms (0%)

sample619.0ms (16.1%)

Algorithm

1×

intervals

Results

312.0ms	7998×	body	80	valid
29.0ms	705×	body	80	invalid
0.0ms	2×	body	320	valid

Details

analyze948.0ms (24.6%)

sample24.0ms (0.6%)

simplify233.0ms (6.1%)

prune8.0ms (0.2%)

localize14.0ms (0.4%)

rewrite18.0ms (0.5%)

series29.0ms (0.8%)

simplify43.0ms (1.1%)

prune83.0ms (2.1%)

localize9.0ms (0.2%)

rewrite27.0ms (0.7%)

series32.0ms (0.8%)

simplify55.0ms (1.4%)

prune117.0ms (3%)

localize9.0ms (0.2%)

rewrite32.0ms (0.8%)

series49.0ms (1.3%)

simplify58.0ms (1.5%)

prune190.0ms (4.9%)

localize10.0ms (0.3%)

rewrite90.0ms (2.3%)

series49.0ms (1.3%)

simplify117.0ms (3%)

prune623.0ms (16.2%)

regimes334.0ms (8.7%)

bsearch26.0ms (0.7%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample619.0ms (16.1%)

Profiling