Details

analyze677.0ms

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
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

sample26.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
4.0ms	100×	body	80	invalid

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	720	13
1	720	13

prune4.0ms

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: 5.6b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

5.3b	(.f64 (.f64 y 4.0) (-.f64 (*.f64 z z) t))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

9.0ms

(*.f64 (*.f64 y 4.0) (-.f64 (*.f64 z z) t))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(*.f64 (*.f64 y 4.0) (-.f64 (*.f64 z z) t))

simplify45.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5057	254

prune53.0ms

Filtered

16 candidates to 26 candidates (-62.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	18	8	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	8	27

Merged error: 1.5b

Counts

27 → 8

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 y 4.0) (.f64 z z)) (.f64 (*.f64 y 4.0) (neg.f64 t)))
9.5b	(.f64 (.f64 y 4.0) (*.f64 z z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`flip3-+_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `associate-l_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

10.0ms	(+.f64 (.f64 (.f64 y 4.0) (.f64 z z)) (.f64 (*.f64 y 4.0) (neg.f64 t)))
8.0ms	(.f64 (.f64 y 4.0) (*.f64 z z))

series28.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+.f64 (.f64 (.f64 y 4.0) (.f64 z z)) (.f64 (*.f64 y 4.0) (neg.f64 t)))
9.0ms	(.f64 (.f64 y 4.0) (*.f64 z z))

simplify58.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4971	369
1	4971	369

prune48.0ms

Filtered

23 candidates to 41 candidates (-78.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	43	6	49

Merged error: 0.0b

Counts

49 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 (.f64 y 4.0) z) z) (.f64 (*.f64 y 4.0) (neg.f64 t)))
0.1b	(.f64 (.f64 (*.f64 y 4.0) z) z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`flip3-+_binary64` `distribute-rgt-neg-out_binary64` `associate-l_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

9.0ms	(+.f64 (.f64 (.f64 (.f64 y 4.0) z) z) (.f64 (*.f64 y 4.0) (neg.f64 t)))
7.0ms	(.f64 (.f64 (*.f64 y 4.0) z) z)

series30.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+.f64 (.f64 (.f64 (.f64 y 4.0) z) z) (.f64 (*.f64 y 4.0) (neg.f64 t)))
11.0ms	(.f64 (.f64 (*.f64 y 4.0) z) z)

simplify79.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5004	356

prune55.0ms

Filtered

24 candidates to 39 candidates (-62.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	37	8	45

Merged error: 0.0b

Counts

45 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 z (.f64 (.f64 y 4.0) z))) (cbrt.f64 (.f64 z (.f64 (*.f64 y 4.0) z))))
23.6b	(cbrt.f64 (.f64 z (.f64 (*.f64 y 4.0) z)))
23.6b	(cbrt.f64 (.f64 z (.f64 (*.f64 y 4.0) z)))
23.6b	(cbrt.f64 (.f64 z (.f64 (*.f64 y 4.0) z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 z (.f64 (.f64 y 4.0) z))) (cbrt.f64 (.f64 z (.f64 (*.f64 y 4.0) z))))
5.0ms	(cbrt.f64 (.f64 z (.f64 (*.f64 y 4.0) z)))
5.0ms	(cbrt.f64 (.f64 z (.f64 (*.f64 y 4.0) z)))
5.0ms	(cbrt.f64 (.f64 z (.f64 (*.f64 y 4.0) z)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(.f64 (cbrt.f64 (.f64 z (.f64 (.f64 y 4.0) z))) (cbrt.f64 (.f64 z (.f64 (*.f64 y 4.0) z))))
23.0ms	(cbrt.f64 (.f64 z (.f64 (*.f64 y 4.0) z)))
23.0ms	(cbrt.f64 (.f64 z (.f64 (*.f64 y 4.0) z)))
26.0ms	(cbrt.f64 (.f64 z (.f64 (*.f64 y 4.0) z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	6074	635

prune87.0ms

Filtered

56 candidates to 70 candidates (-25.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	70	8	78

Merged error: 0.0b

Counts

78 → 8

regimes776.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	234	17
1	234	17

end0.0ms

sample691.0ms

Algorithm

intervals

Results

311.0ms	8000×	body	80	valid
113.0ms	3026×	body	80	invalid

Details

analyze677.0ms

sample26.0ms

simplify34.0ms

prune4.0ms

localize8.0ms

rewrite10.0ms

series19.0ms

simplify45.0ms

prune53.0ms

localize11.0ms

rewrite18.0ms

series28.0ms

simplify58.0ms

prune48.0ms

localize10.0ms

rewrite17.0ms

series30.0ms

simplify79.0ms

prune55.0ms

localize14.0ms

rewrite25.0ms

series107.0ms

simplify52.0ms

prune87.0ms

regimes776.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample691.0ms

Profiling