Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	224×	body	80	valid
5.0ms	31×	body	1280	valid
3.0ms	23×	body	640	valid
2.0ms	22×	body	320	valid
1.0ms	6×	body	2560	valid
1.0ms	11×	body	160	valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (19.0ms)

Iter	Nodes	Cost
0	23	6
1	75	5
2	223	4
3	515	3
4	1164	2
5	3578	2
6	5001	2

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma y (- x z) 0)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma y (- x z) 0)

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(fma y (- x z) 0)

simplify72.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	29	44
1	61	39
2	251	39
3	1485	39
4	5001	39

prune30.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* y y))
0.0b	(- (+ (* x y) (* y y)) (* y z))
9.8b	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
12×	`prod-diff`
9×	`add-sqr-sqrt` `associate--l+`
8×	`add-cube-cbrt` `distribute-rgt-out` `*-un-lft-identity` `fma-neg`
7×	`diff-log`
5×	`distribute-lft-out--`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `sum-log` `add-cbrt-cube` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`+-commutative` `associate--l-` `fma-def` `flip3-+` `flip-+` `difference-of-squares`

Counts

3 → 74

Calls

3 calls:

4.0ms	(+ (* x y) (* y y))
6.0ms	(- (+ (* x y) (* y y)) (* y z))
10.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

series97.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* x y) (* y y))
31.0ms	(- (+ (* x y) (* y y)) (* y z))
33.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

simplify47.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	290	557
1	1187	476
2	5001	430

prune148.0ms

Filtered

83 candidates to 63 candidates (75.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	82	4	86

Merged error: 0.0b

Counts

86 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma y (- x z) 0)
0.2b	(* (sqrt (fma y (- x z) 0)) (sqrt (fma y (- x z) 0)))
2.7b	(sqrt (fma y (- x z) 0))
2.7b	(sqrt (fma y (- x z) 0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma y (- x z) 0)
7.0ms	(* (sqrt (fma y (- x z) 0)) (sqrt (fma y (- x z) 0)))
1.0ms	(sqrt (fma y (- x z) 0))
2.0ms	(sqrt (fma y (- x z) 0))

series189.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(fma y (- x z) 0)
35.0ms	(* (sqrt (fma y (- x z) 0)) (sqrt (fma y (- x z) 0)))
60.0ms	(sqrt (fma y (- x z) 0))
56.0ms	(sqrt (fma y (- x z) 0))

simplify152.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (144.0ms)

Iter	Nodes	Cost
0	167	465
1	606	407
2	3358	383
3	5001	372

prune159.0ms

Filtered

103 candidates to 63 candidates (61.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	104	3	107

Merged error: 0.0b

Counts

107 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (sqrt (fma y (- x z) 0))) (sqrt (sqrt (fma y (- x z) 0))))
2.7b	(sqrt (fma y (- x z) 0))
2.7b	(sqrt (fma y (- x z) 0))
2.7b	(sqrt (fma y (- x z) 0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

75×	`sqrt-prod`
52×	`add-sqr-sqrt`
35×	`sqrt-pow1`
30×	`pow1`
19×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
15×	`swap-sqr`
9×	`associate-r` `associate-l` `pow-prod-up` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-down` `pow-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 122

Calls

4 calls:

10.0ms	(* (sqrt (sqrt (fma y (- x z) 0))) (sqrt (sqrt (fma y (- x z) 0))))
1.0ms	(sqrt (fma y (- x z) 0))
2.0ms	(sqrt (fma y (- x z) 0))
2.0ms	(sqrt (fma y (- x z) 0))

series224.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (sqrt (sqrt (fma y (- x z) 0))) (sqrt (sqrt (fma y (- x z) 0))))
58.0ms	(sqrt (fma y (- x z) 0))
58.0ms	(sqrt (fma y (- x z) 0))
55.0ms	(sqrt (fma y (- x z) 0))

simplify180.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	190	734
1	685	652
2	3769	616
3	5001	616

prune209.0ms

Filtered

134 candidates to 72 candidates (53.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	134	3	137

Merged error: 0.0b

Counts

137 → 3

regimes64.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2

end0.0ms

sample996.0ms

Algorithm

intervals

Results

284.0ms	7001×	body	80	valid
187.0ms	1028×	body	1280	valid
137.0ms	939×	body	640	valid
64.0ms	601×	body	320	valid
49.0ms	209×	body	2560	valid
28.0ms	347×	body	160	valid