Details

analyze712.0ms

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	75×	body	80	invalid

simplify102.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

simplify44.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5066	573

prune38.0ms

Filtered

40 candidates to 51 candidates (-27.5%)

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

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

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 x (+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x))))
7.0ms	(*.f64 (-.f64 y z) t)
9.0ms	(+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x)))
10.0ms	(*.f64 (-.f64 y z) (neg.f64 x))

series44.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x))))
7.0ms	(*.f64 (-.f64 y z) t)
14.0ms	(+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x)))
7.0ms	(*.f64 (-.f64 y z) (neg.f64 x))

simplify47.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5213	889

prune49.0ms

Filtered

75 candidates to 96 candidates (-28.0%)

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(*.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))

rewrite26.0ms

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 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))

series111.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x)))
28.0ms	(cbrt.f64 (-.f64 t x))
25.0ms	(cbrt.f64 (-.f64 t x))
26.0ms	(cbrt.f64 (-.f64 t x))

simplify50.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5291	1060

prune58.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
9×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`sub-neg_binary64`
5×	`pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate--l+_binary64`
3×	`distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
2×	`flip3--_binary64` `diff-log_binary64` `associate-*r/_binary64` `flip--_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-+r-_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` `*-commutative_binary64`

Counts

3 → 54

Calls

3 calls:

10.0ms	(+.f64 x (-.f64 (.f64 z (-.f64 x t)) (.f64 y x)))
7.0ms	(-.f64 (.f64 z (-.f64 x t)) (.f64 y x))
7.0ms	(*.f64 z (-.f64 x t))

series31.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify55.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5800	623

prune27.0ms

Filtered

48 candidates to 63 candidates (-31.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	63	5	68

Merged error: 0b

Counts

68 → 5

regimes214.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	229	13
1	229	13

end0.0ms

sample562.0ms

Algorithm

intervals

Results

221.0ms	8000×	body	80	valid
72.0ms	2617×	body	80	invalid

Details

analyze712.0ms

sample20.0ms

simplify102.0ms

prune3.0ms

localize7.0ms

rewrite16.0ms

series26.0ms

simplify44.0ms

prune38.0ms

localize8.0ms

rewrite38.0ms

series44.0ms

simplify47.0ms

prune49.0ms

localize14.0ms

rewrite26.0ms

series111.0ms

simplify50.0ms

prune58.0ms

localize8.0ms

rewrite26.0ms

series31.0ms

simplify55.0ms

prune27.0ms

regimes214.0ms

bsearch0.0ms

simplify7.0ms

end0.0ms

sample562.0ms

Profiling