Details

analyze718.0ms

Algorithm

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

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	78×	body	80	invalid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	1581	9
1	1581	9

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

localize10.0ms

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))

rewrite16.0ms

Algorithm

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:

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

series26.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
10.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

simplify39.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5066	573

prune43.0ms

Filtered

40 candidates to 51 candidates (-27.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	5	52

Merged error: 0b

Counts

52 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))
0.6b	(cbrt.f64 (-.f64 y z))
0.6b	(cbrt.f64 (-.f64 y z))
0.6b	(cbrt.f64 (-.f64 y z))

rewrite25.0ms

Algorithm

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 y z)) (cbrt.f64 (-.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 y z))
3.0ms	(cbrt.f64 (-.f64 y z))
4.0ms	(cbrt.f64 (-.f64 y z))

series135.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))
25.0ms	(cbrt.f64 (-.f64 y z))
28.0ms	(cbrt.f64 (-.f64 y z))
49.0ms	(cbrt.f64 (-.f64 y z))

simplify46.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5327	1060

prune59.0ms

Filtered

86 candidates to 113 candidates (-31.4%)

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

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
1.6b	(-.f64 (.f64 y y) (.f64 z z))
5.2b	(.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z)))
19.4b	(/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))

rewrite40.0ms

Algorithm

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:

8.0ms	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
4.0ms	(-.f64 (.f64 y y) (.f64 z z))
10.0ms	(.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z)))
14.0ms	(/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))

series150.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
7.0ms	(-.f64 (.f64 y y) (.f64 z z))
27.0ms	(.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z)))
44.0ms	(/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))

simplify64.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5008	1339

prune53.0ms

Filtered

78 candidates to 100 candidates (-28.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	2	0	2
Picked	1	0	1
Done	0	2	2
Total	102	3	105

Merged error: 0b

Counts

105 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 y z))
0.0b	(+.f64 x (/.f64 1 (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 t x))))
0.3b	(/.f64 (/.f64 1 (-.f64 y z)) (-.f64 t x))
0.3b	(/.f64 1 (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 t x)))

rewrite420.0ms

Algorithm

rewrite-expression-head

Rules

1263×	`times-frac_binary64`
849×	`*-un-lft-identity_binary64`
846×	`add-sqr-sqrt_binary64`
470×	`add-cube-cbrt_binary64`
188×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
121×	`associate-/r*_binary64`
65×	`associate-/r/_binary64`
52×	`add-exp-log_binary64`
36×	`div-exp_binary64`
34×	`div-inv_binary64`
32×	`flip3--_binary64` `flip--_binary64`
27×	`associate-/l*_binary64`
20×	`add-cbrt-cube_binary64`
10×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64`
6×	`add-log-exp_binary64` `pow1_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64`
2×	`distribute-lft-out_binary64` `inv-pow_binary64` `pow-flip_binary64`
1×	`flip3-+_binary64` `associate-/l/_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 682

Calls

4 calls:

7.0ms	(/.f64 1 (-.f64 y z))
305.0ms	(+.f64 x (/.f64 1 (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 t x))))
14.0ms	(/.f64 (/.f64 1 (-.f64 y z)) (-.f64 t x))
35.0ms	(/.f64 1 (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 t x)))

series99.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/.f64 1 (-.f64 y z))
16.0ms	(+.f64 x (/.f64 1 (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 t x))))
67.0ms	(/.f64 (/.f64 1 (-.f64 y z)) (-.f64 t x))
11.0ms	(/.f64 1 (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 t x)))

simplify134.0ms

Algorithm

egg-herbie

Counts

694 → 694

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5116	11588

prune210.0ms

Filtered

284 candidates to 694 candidates (-144.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	694	0	694
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	694	3	697

Merged error: 0b

Counts

697 → 3

regimes236.0ms

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	28	9
1	28	9

end0.0ms

sample570.0ms

Algorithm

intervals

Results

233.0ms	8000×	body	80	valid
71.0ms	2531×	body	80	invalid

Details

analyze718.0ms

sample20.0ms

simplify97.0ms

prune3.0ms

localize10.0ms

rewrite16.0ms

series26.0ms

simplify39.0ms

prune43.0ms

localize11.0ms

rewrite25.0ms

series135.0ms

simplify46.0ms

prune59.0ms

localize11.0ms

rewrite40.0ms

series150.0ms

simplify64.0ms

prune53.0ms

localize9.0ms

rewrite420.0ms

series99.0ms

simplify134.0ms

prune210.0ms

regimes236.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample570.0ms

Profiling