Details

analyze297.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	60.8%	3.3%	9
44.1%	48%	7.9%	10
54.8%	36.9%	8.3%	11
57.6%	31.5%	10.9%	12
61.9%	24%	14.1%	13
67.2%	18.6%	14.2%	14

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	19×	body	80	invalid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	536	9
1	536	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: 4.3b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 y) z)
4.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

8.0ms	(*.f64 (-.f64 1 y) z)
7.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(*.f64 (-.f64 1 y) z)
11.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

simplify80.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4944	421
1	4944	421

prune91.0ms

Filtered

34 candidates to 51 candidates (-50.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	43	8	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	9	52

Merged error: 4.1b

Counts

52 → 9

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
0.0b	(-.f64 (*.f64 y z) z)
4.1b	(.f64 x (-.f64 (.f64 y z) z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-sqr-sqrt_binary64`
5×	`sub-neg_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-r_binary64`
3×	`associate-l_binary64`
2×	`flip3--_binary64` `distribute-rgt-out--_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 48

Calls

3 calls:

4.0ms	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
4.0ms	(-.f64 (*.f64 y z) z)
7.0ms	(.f64 x (-.f64 (.f64 y z) z))

series25.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
5.0ms	(-.f64 (*.f64 y z) z)
10.0ms	(.f64 x (-.f64 (.f64 y z) z))

simplify47.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5503	510

prune61.0ms

Filtered

41 candidates to 57 candidates (-39.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	4	3	7
Picked	1	0	1
Done	0	1	1
Total	60	6	66

Merged error: 0.0b

Counts

66 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))
2.6b	(.f64 (.f64 x z) (-.f64 y 1))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

4.0ms	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))
8.0ms	(.f64 (.f64 x z) (-.f64 y 1))

series19.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))
9.0ms	(.f64 (.f64 x z) (-.f64 y 1))

simplify43.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5071	411

prune53.0ms

Filtered

30 candidates to 45 candidates (-50.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	1	3	4
Picked	0	1	1
Done	1	0	1
Total	44	7	51

Merged error: 0.0b

Counts

51 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (-.f64 y 1))
0.3b	(cbrt.f64 (-.f64 y 1))
0.6b	(.f64 (.f64 (.f64 x z) (.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))) (cbrt.f64 (-.f64 y 1)))
2.1b	(.f64 (.f64 x z) (*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div_binary64`
42×	`associate-*r/_binary64`
35×	`flip3--_binary64` `flip--_binary64`
34×	`pow1_binary64` `add-exp-log_binary64`
32×	`frac-times_binary64`
21×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64` `cbrt-prod_binary64`
20×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
16×	`associate-*l/_binary64`
11×	`associate-r_binary64`
8×	`add-cube-cbrt_binary64`
6×	`difference-of-squares_binary64`
4×	`add-log-exp_binary64`
3×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
2×	`pow1/3_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 124

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 y 1))
3.0ms	(cbrt.f64 (-.f64 y 1))
25.0ms	(.f64 (.f64 (.f64 x z) (.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))) (cbrt.f64 (-.f64 y 1)))
16.0ms	(.f64 (.f64 x z) (*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(cbrt.f64 (-.f64 y 1))
7.0ms	(cbrt.f64 (-.f64 y 1))
13.0ms	(.f64 (.f64 (.f64 x z) (.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))) (cbrt.f64 (-.f64 y 1)))
32.0ms	(.f64 (.f64 x z) (*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1))))

simplify63.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4952	1922
1	4952	1922

prune117.0ms

Filtered

81 candidates to 136 candidates (-67.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	135	8	143

Merged error: 0.0b

Counts

143 → 8

regimes483.0ms

Accuracy

72.2% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.6b

bsearch19.0ms

Steps

Iters	Range		Point
7	15960361.950229786	406088050.8925208	31156517.829588935
4	-5.417870074481602e+125	-3.168949127308343e+125	-3.3614943132513892e+125

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	29
1	73	29

end0.0ms

sample420.0ms

Algorithm

intervals

Results

226.0ms	8000×	body	80	valid
17.0ms	651×	body	80	invalid

Details

analyze297.0ms

sample16.0ms

simplify26.0ms

prune3.0ms

localize6.0ms

rewrite16.0ms

series15.0ms

simplify80.0ms

prune91.0ms

localize6.0ms

rewrite17.0ms

series25.0ms

simplify47.0ms

prune61.0ms

localize6.0ms

rewrite14.0ms

series19.0ms

simplify43.0ms

prune53.0ms

localize10.0ms

rewrite56.0ms

series59.0ms

simplify63.0ms

prune117.0ms

regimes483.0ms

bsearch19.0ms

simplify3.0ms

end0.0ms

sample420.0ms

Profiling