Details

analyze654.0ms

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
23.4%	74.9%	1.8%	11
27.3%	69%	3.7%	12
36.6%	56.5%	6.8%	13
40.5%	52%	7.4%	14

sample22.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	66×	body	80	invalid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	437	7
1	437	7

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 t (-.f64 x z))
5.9b	(.f64 y (.f64 t (-.f64 x z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

7.0ms	(*.f64 t (-.f64 x z))
8.0ms	(.f64 y (.f64 t (-.f64 x z)))

series20.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 t (-.f64 x z))
12.0ms	(.f64 y (.f64 t (-.f64 x z)))

simplify37.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5277	393

prune42.0ms

Filtered

32 candidates to 54 candidates (-68.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	46	8	54
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	47	9	56

Merged error: 0.0b

Counts

56 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 y (.f64 t x)) (.f64 y (.f64 t (neg.f64 z))))
6.0b	(.f64 y (.f64 t x))
6.7b	(.f64 y (.f64 t (neg.f64 z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

6.0ms	(+.f64 (.f64 y (.f64 t x)) (.f64 y (.f64 t (neg.f64 z))))
5.0ms	(.f64 y (.f64 t x))
6.0ms	(.f64 y (.f64 t (neg.f64 z)))

series30.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+.f64 (.f64 y (.f64 t x)) (.f64 y (.f64 t (neg.f64 z))))
7.0ms	(.f64 y (.f64 t x))
7.0ms	(.f64 y (.f64 t (neg.f64 z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5104	409

prune37.0ms

Filtered

39 candidates to 59 candidates (-51.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	59	9	68

Merged error: 0.0b

Counts

68 → 9

localize5.0ms

Local error

Found 1 expressions with local error:

6.6b	(.f64 (.f64 y t) (-.f64 x z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`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` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

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

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5019	214

prune34.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	25	11	36

Merged error: 0.0b

Counts

36 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 y t) x) (.f64 (.f64 y t) (neg.f64 z)))
3.4b	(.f64 (.f64 y t) (neg.f64 z))
5.3b	(.f64 (.f64 y t) x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`add-log-exp_binary64`
3×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
2×	`distribute-rgt-neg-out_binary64` `associate-l_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `neg-mul-1_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64`

Counts

3 → 57

Calls

3 calls:

6.0ms	(+.f64 (.f64 (.f64 y t) x) (.f64 (.f64 y t) (neg.f64 z)))
7.0ms	(.f64 (.f64 y t) (neg.f64 z))
6.0ms	(.f64 (.f64 y t) x)

series31.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+.f64 (.f64 (.f64 y t) x) (.f64 (.f64 y t) (neg.f64 z)))
7.0ms	(.f64 (.f64 y t) (neg.f64 z))
9.0ms	(.f64 (.f64 y t) x)

simplify61.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4955	453
1	4955	453

prune22.0ms

Filtered

42 candidates to 66 candidates (-57.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	66	11	77

Merged error: 0.0b

Counts

77 → 11

regimes286.0ms

Accuracy

63.8% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 7.4b

bsearch28.0ms

Steps

Iters	Range		Point
9	3.663715742420783e-48	7.149837217222747e-43	3.193401404254416e-44
6	-2.607916637008019e-15	-4.328595525487109e-16	-6.925233186446084e-16

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	97	37
1	97	37

end0.0ms

sample548.0ms

Algorithm

intervals

Results

242.0ms	8000×	body	80	valid
60.0ms	1910×	body	80	invalid

Details

analyze654.0ms

sample22.0ms

simplify28.0ms

prune8.0ms

localize5.0ms

rewrite16.0ms

series20.0ms

simplify37.0ms

prune42.0ms

localize9.0ms

rewrite19.0ms

series30.0ms

simplify55.0ms

prune37.0ms

localize5.0ms

rewrite9.0ms

series14.0ms

simplify42.0ms

prune34.0ms

localize8.0ms

rewrite21.0ms

series31.0ms

simplify61.0ms

prune22.0ms

regimes286.0ms

bsearch28.0ms

simplify3.0ms

end0.0ms

sample548.0ms

Profiling