Details

analyze1.5s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.8%	98%	0.3%	13
2.4%	97.3%	0.3%	14

sample38.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
5.0ms	126×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	80	13
1	80	13

prune13.0ms

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: 0.0b

Counts

2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y z))
0.0b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
6.5b	(.f64 (.f64 a z) b)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp_binary64`
10×	`sum-log_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64`
2×	`associate-+l+_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

4 → 56

Calls

4 calls:

3.0ms	(+.f64 x (*.f64 y z))
9.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
6.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
5.0ms	(.f64 (.f64 a z) b)

series59.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+.f64 x (*.f64 y z))
30.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
15.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
7.0ms	(.f64 (.f64 a z) b)

simplify25.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5328	695

prune81.0ms

Filtered

50 candidates to 68 candidates (-36.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	63	5	68
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

6.5b	(.f64 (.f64 a z) b)
12.0b	(cbrt.f64 (.f64 (.f64 a z) b))
12.0b	(cbrt.f64 (.f64 (.f64 a z) b))
12.0b	(cbrt.f64 (.f64 (.f64 a z) b))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `pow1/3_binary64` `prod-exp_binary64` `cbrt-prod_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

4 → 45

Calls

4 calls:

5.0ms	(.f64 (.f64 a z) b)
4.0ms	(cbrt.f64 (.f64 (.f64 a z) b))
4.0ms	(cbrt.f64 (.f64 (.f64 a z) b))
4.0ms	(cbrt.f64 (.f64 (.f64 a z) b))

series77.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(.f64 (.f64 a z) b)
26.0ms	(cbrt.f64 (.f64 (.f64 a z) b))
22.0ms	(cbrt.f64 (.f64 (.f64 a z) b))
22.0ms	(cbrt.f64 (.f64 (.f64 a z) b))

simplify48.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5108	379

prune71.0ms

Filtered

39 candidates to 57 candidates (-46.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

6.5b	(.f64 (.f64 a z) b)
12.0b	(cbrt.f64 (.f64 (.f64 (.f64 a z) (.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b)))
12.0b	(cbrt.f64 (.f64 (.f64 a z) b))
12.0b	(cbrt.f64 (.f64 (.f64 a z) b))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `pow1/3_binary64` `prod-exp_binary64` `cbrt-prod_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

4 → 45

Calls

4 calls:

5.0ms	(.f64 (.f64 a z) b)
11.0ms	(cbrt.f64 (.f64 (.f64 (.f64 a z) (.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b)))
4.0ms	(cbrt.f64 (.f64 (.f64 a z) b))
4.0ms	(cbrt.f64 (.f64 (.f64 a z) b))

series77.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(.f64 (.f64 a z) b)
23.0ms	(cbrt.f64 (.f64 (.f64 (.f64 a z) (.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b)))
22.0ms	(cbrt.f64 (.f64 (.f64 a z) b))
25.0ms	(cbrt.f64 (.f64 (.f64 a z) b))

simplify52.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5154	386

prune69.0ms

Filtered

39 candidates to 57 candidates (-46.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	56	8	64

Merged error: 0.0b

Counts

64 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

6.5b	(.f64 (.f64 a z) b)
12.0b	(cbrt.f64 (.f64 (.f64 (.f64 a z) (.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b)))
12.0b	(cbrt.f64 (.f64 (.f64 a z) b))
13.2b	(cbrt.f64 (*.f64 a z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `pow1/3_binary64` `prod-exp_binary64` `cbrt-prod_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

4 → 45

Calls

4 calls:

5.0ms	(.f64 (.f64 a z) b)
10.0ms	(cbrt.f64 (.f64 (.f64 (.f64 a z) (.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b)))
4.0ms	(cbrt.f64 (.f64 (.f64 a z) b))
3.0ms	(cbrt.f64 (*.f64 a z))

series72.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(.f64 (.f64 a z) b)
29.0ms	(cbrt.f64 (.f64 (.f64 (.f64 a z) (.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b)))
22.0ms	(cbrt.f64 (.f64 (.f64 a z) b))
13.0ms	(cbrt.f64 (*.f64 a z))

simplify44.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5140	357

prune48.0ms

Filtered

40 candidates to 57 candidates (-42.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	56	9	65

Merged error: 0.0b

Counts

65 → 9

regimes604.0ms

Accuracy

86.1% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.4b

bsearch51.0ms

Steps

Iters	Range		Point
9	2.4912113102304837e+36	1.5540688719523994e+42	2.97334263332371e+36
7	-1.6533258782991014e+48	-3.7526458703347625e+46	-1.0091276599937923e+48

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	77
1	54	77

end0.0ms

sample935.0ms

Algorithm

intervals

Results

364.0ms	8000×	body	80	valid
174.0ms	3791×	body	80	invalid

Details

analyze1.5s

sample38.0ms

simplify6.0ms

prune13.0ms

localize11.0ms

rewrite25.0ms

series59.0ms

simplify25.0ms

prune81.0ms

localize17.0ms

rewrite17.0ms

series77.0ms

simplify48.0ms

prune71.0ms

localize22.0ms

rewrite25.0ms

series77.0ms

simplify52.0ms

prune69.0ms

localize26.0ms

rewrite24.0ms

series72.0ms

simplify44.0ms

prune48.0ms

regimes604.0ms

bsearch51.0ms

simplify2.0ms

end0.0ms

sample935.0ms

Profiling