Details

analyze365.0ms

Algorithm

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
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	255×	body	80	valid
1.0ms	23×	body	80	invalid
0.0ms	1×	body	640	valid

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	673	7
1	673	7

prune3.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (-.f64 1.0 z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
5×	`associate-r_binary64`
4×	`associate-l_binary64` `frac-times_binary64`
3×	`flip3-+_binary64` `pow1_binary64` `flip3--_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `associate-r/_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

1 → 31

Calls

1 calls:

9.0ms

(*.f64 (+.f64 x y) (-.f64 1.0 z))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(*.f64 (+.f64 x y) (-.f64 1.0 z))

simplify42.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5170	379

prune41.0ms

Filtered

25 candidates to 34 candidates (-36.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Merged error: 0.0b

Counts

35 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1.0 z))
0.0b	(sqrt.f64 (-.f64 1.0 z))
0.0b	(*.f64 (+.f64 x y) (sqrt.f64 (-.f64 1.0 z)))
0.1b	(.f64 (.f64 (+.f64 x y) (sqrt.f64 (-.f64 1.0 z))) (sqrt.f64 (-.f64 1.0 z)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div_binary64`
32×	`frac-times_binary64`
25×	`add-sqr-sqrt_binary64`
23×	`flip3--_binary64` `flip--_binary64`
21×	`*-un-lft-identity_binary64` `sqrt-prod_binary64`
16×	`associate-r_binary64` `associate-*l/_binary64`
13×	`pow1_binary64`
12×	`flip3-+_binary64` `flip-+_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
5×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `*-commutative_binary64`
1×	`distribute-lft-out_binary64`

Counts

4 → 116

Calls

4 calls:

3.0ms	(sqrt.f64 (-.f64 1.0 z))
3.0ms	(sqrt.f64 (-.f64 1.0 z))
9.0ms	(*.f64 (+.f64 x y) (sqrt.f64 (-.f64 1.0 z)))
23.0ms	(.f64 (.f64 (+.f64 x y) (sqrt.f64 (-.f64 1.0 z))) (sqrt.f64 (-.f64 1.0 z)))

series33.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt.f64 (-.f64 1.0 z))
4.0ms	(sqrt.f64 (-.f64 1.0 z))
15.0ms	(*.f64 (+.f64 x y) (sqrt.f64 (-.f64 1.0 z)))
9.0ms	(.f64 (.f64 (+.f64 x y) (sqrt.f64 (-.f64 1.0 z))) (sqrt.f64 (-.f64 1.0 z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5048	1796

prune123.0ms

Filtered

94 candidates to 128 candidates (-36.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	128	3	131

Merged error: 0.0b

Counts

131 → 3

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 z z) (*.f64 1.0 z))

1.0b

(*.f64 (+.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 z 3)))

16.8b

(/.f64 (*.f64 (+.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 z 3))) (+.f64 (*.f64 1.0 1.0) (+.f64 (*.f64 z z) (*.f64 1.0 z))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
25×	`associate-r_binary64`
19×	`*-un-lft-identity_binary64`
16×	`difference-of-squares_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`flip3-+_binary64` `associate-/l/_binary64` `sqr-pow_binary64` `flip-+_binary64` `frac-times_binary64`
7×	`add-cube-cbrt_binary64`
6×	`flip3--_binary64` `flip--_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `distribute-lft-out--_binary64`
4×	`associate-r/_binary64` `associate-l_binary64` `associate-l/_binary64`
3×	`associate-/r*_binary64` `times-frac_binary64`
2×	`sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `difference-cubes_binary64` `distribute-lft-out_binary64` `distribute-rgt-out_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` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 94

Calls

3 calls:

4.0ms

(+.f64 (*.f64 z z) (*.f64 1.0 z))

20.0ms

(*.f64 (+.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 z 3)))

23.0ms

(/.f64 (*.f64 (+.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 z 3))) (+.f64 (*.f64 1.0 1.0) (+.f64 (*.f64 z z) (*.f64 1.0 z))))

series91.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms

(+.f64 (*.f64 z z) (*.f64 1.0 z))

26.0ms

(*.f64 (+.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 z 3)))

58.0ms

(/.f64 (*.f64 (+.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 z 3))) (+.f64 (*.f64 1.0 1.0) (+.f64 (*.f64 z z) (*.f64 1.0 z))))

simplify38.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5112	1588

prune118.0ms

Filtered

73 candidates to 103 candidates (-41.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0.0b

Counts

106 → 3

regimes270.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms

sample360.0ms

Algorithm

intervals

Results

185.0ms	7997×	body	80	valid
13.0ms	590×	body	80	invalid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid

Details

analyze365.0ms

sample15.0ms

simplify31.0ms

prune3.0ms

localize5.0ms

rewrite10.0ms

series9.0ms

simplify42.0ms

prune41.0ms

localize7.0ms

rewrite46.0ms

series33.0ms

simplify52.0ms

prune123.0ms

localize16.0ms

rewrite50.0ms

series91.0ms

simplify38.0ms

prune118.0ms

regimes270.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample360.0ms

Profiling