Details

analyze277.0ms

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

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	17×	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

prune2.0ms

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: 4.6b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

4.3b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

6.0ms

(*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z)))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4983	258
1	4983	258

prune34.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	18	7	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	7	26

Merged error: 4.5b

Counts

26 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 y z) z)
0.0b	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
4.3b	(.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 (*.f64 y z) z)
4.0ms	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
7.0ms	(.f64 x (-.f64 (.f64 y z) z))

series24.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(-.f64 (*.f64 y z) z)
10.0ms	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
10.0ms	(.f64 x (-.f64 (.f64 y z) z))

simplify49.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5503	510

prune34.0ms

Filtered

41 candidates to 57 candidates (-39.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	5	1	6
Picked	0	1	1
Done	0	0	0
Total	59	5	64

Merged error: 0.0b

Counts

64 → 5

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

series21.0ms

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))

simplify44.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5071	411

prune28.0ms

Filtered

30 candidates to 45 candidates (-50.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	44	6	50

Merged error: 0.0b

Counts

50 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (.f64 y z))
2.8b	(.f64 z (-.f64 (.f64 y (*.f64 y z)) z))
8.1b	(.f64 x (.f64 z (-.f64 (.f64 y (.f64 y z)) z)))
20.7b	(/.f64 (.f64 x (.f64 z (-.f64 (.f64 y (.f64 y z)) z))) (+.f64 (*.f64 y z) z))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`pow1_binary64`
12×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`cbrt-unprod_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
9×	`associate-l_binary64`
7×	`pow-prod-down_binary64`
6×	`sub-neg_binary64`
5×	`associate-/r_binary64` `associate-r*_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `times-frac_binary64`
4×	`add-log-exp_binary64`
3×	`flip3--_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64`

Counts

4 → 95

Calls

4 calls:

5.0ms	(.f64 y (.f64 y z))
9.0ms	(.f64 z (-.f64 (.f64 y (*.f64 y z)) z))
11.0ms	(.f64 x (.f64 z (-.f64 (.f64 y (.f64 y z)) z)))
15.0ms	(/.f64 (.f64 x (.f64 z (-.f64 (.f64 y (.f64 y z)) z))) (+.f64 (*.f64 y z) z))

series81.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(.f64 y (.f64 y z))
14.0ms	(.f64 z (-.f64 (.f64 y (*.f64 y z)) z))
29.0ms	(.f64 x (.f64 z (-.f64 (.f64 y (.f64 y z)) z)))
33.0ms	(/.f64 (.f64 x (.f64 z (-.f64 (.f64 y (.f64 y z)) z))) (+.f64 (*.f64 y z) z))

simplify66.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4970	1194
1	4970	1194

prune42.0ms

Filtered

74 candidates to 107 candidates (-44.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	107	6	113

Merged error: 0.0b

Counts

113 → 6

regimes203.0ms

Accuracy

87.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	35
1	64	35

end0.0ms

sample421.0ms

Algorithm

intervals

Results

226.0ms	8000×	body	80	valid
19.0ms	727×	body	80	invalid

Details

analyze277.0ms

sample15.0ms

simplify26.0ms

prune2.0ms

localize6.0ms

rewrite7.0ms

series10.0ms

simplify50.0ms

prune34.0ms

localize6.0ms

rewrite17.0ms

series24.0ms

simplify49.0ms

prune34.0ms

localize6.0ms

rewrite14.0ms

series21.0ms

simplify44.0ms

prune28.0ms

localize13.0ms

rewrite43.0ms

series81.0ms

simplify66.0ms

prune42.0ms

regimes203.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample421.0ms

Profiling