Details

analyze36.0ms (2.7%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
50%	50%	0.1%	6
68.7%	31.2%	0.1%	7
81.2%	18.7%	0.1%	8
89%	10.9%	0.1%	9
92.1%	7.8%	0.1%	10
95.6%	4.3%	0.1%	11
96.4%	3.5%	0.1%	12
98%	1.9%	0.1%	13
98.2%	1.7%	0.1%	14

sample18.0ms (1.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

valid

simplify86.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4889	9
1	4889	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: 14.2b

Counts

2 → 1

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 x 2.0) y)
13.7b	(/.f64 (.f64 (.f64 x 2.0) y) (-.f64 x y))

rewrite15.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

9.0ms	(/.f64 (.f64 (.f64 x 2.0) y) (-.f64 x y))
5.0ms	(.f64 (.f64 x 2.0) y)

series15.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 (.f64 (.f64 x 2.0) y) (-.f64 x y))
4.0ms	(.f64 (.f64 x 2.0) y)

simplify33.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5117	435

prune78.0ms (5.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	45	8	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	8	54

Merged error: 0.0b

Counts

54 → 8

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 x y))
7.4b	(.f64 (.f64 x 2.0) (/.f64 y (-.f64 x y)))

rewrite19.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 78

Calls

2 calls:

10.0ms	(.f64 (.f64 x 2.0) (/.f64 y (-.f64 x y)))
5.0ms	(/.f64 y (-.f64 x y))

series17.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(.f64 (.f64 x 2.0) (/.f64 y (-.f64 x y)))
7.0ms	(/.f64 y (-.f64 x y))

simplify68.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4947	755
1	4947	755

prune91.0ms (6.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) y)
7.6b	(/.f64 (*.f64 x 2.0) (/.f64 (-.f64 x y) y))

rewrite19.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`times-frac_binary64`
50×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
30×	`add-cube-cbrt_binary64`
22×	`associate-/r*_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`associate-/l*_binary64`
4×	`div-inv_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`
1×	`flip3--_binary64` `associate-/r/_binary64` `div-sub_binary64` `flip--_binary64`

Counts

2 → 96

Calls

2 calls:

9.0ms	(/.f64 (*.f64 x 2.0) (/.f64 (-.f64 x y) y))
6.0ms	(/.f64 (-.f64 x y) y)

series16.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 (*.f64 x 2.0) (/.f64 (-.f64 x y) y))
5.0ms	(/.f64 (-.f64 x y) y)

simplify47.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	6727	1059

prune97.0ms (7.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	5	1	6
Picked	0	1	1
Done	1	0	1
Total	107	3	110

Merged error: 0b

Counts

110 → 3

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 x y))
6.5b	(.f64 (/.f64 x (-.f64 x y)) (.f64 2.0 y))

rewrite20.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 78

Calls

2 calls:

10.0ms	(.f64 (/.f64 x (-.f64 x y)) (.f64 2.0 y))
7.0ms	(/.f64 x (-.f64 x y))

series17.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(.f64 (/.f64 x (-.f64 x y)) (.f64 2.0 y))
7.0ms	(/.f64 x (-.f64 x y))

simplify55.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5899	754

prune93.0ms (7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0b

Counts

87 → 3

regimes86.0ms (6.4%)

Accuracy

Total 0.8b remaining (98.6%)

Threshold costs 0.8b (98.6%)

bsearch16.0ms (1.2%)

Steps

Iters	Range		Point
6	6.2158580891604304e-89	4.7768733817814525e-88	4.719494049959965e-88
6	-6.793574704981815e+104	-6.314798613368055e+103	-6.4106232377991766e+103

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	27
1	32	27

end0.0ms (0%)

sample363.0ms (27.1%)

Algorithm

1×

intervals

Results

232.0ms

8000×

body

valid

Details

analyze36.0ms (2.7%)

sample18.0ms (1.4%)

simplify86.0ms (6.5%)

prune5.0ms (0.4%)

localize6.0ms (0.4%)

rewrite15.0ms (1.2%)

series15.0ms (1.1%)

simplify33.0ms (2.5%)

prune78.0ms (5.8%)

localize6.0ms (0.4%)

rewrite19.0ms (1.4%)

series17.0ms (1.3%)

simplify68.0ms (5.1%)

prune91.0ms (6.8%)

localize6.0ms (0.4%)

rewrite19.0ms (1.4%)

series16.0ms (1.2%)

simplify47.0ms (3.5%)

prune97.0ms (7.3%)

localize6.0ms (0.4%)

rewrite20.0ms (1.5%)

series17.0ms (1.3%)

simplify55.0ms (4.1%)

prune93.0ms (7%)

regimes86.0ms (6.4%)

bsearch16.0ms (1.2%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample363.0ms (27.1%)

Profiling