Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

320×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	26	3
2	62	3
3	164	3
4	320	3
5	438	3
6	600	3
7	831	3
8	1451	3
9	2357	3
10	2545	3
11	2545	3

prune2.0ms

Filtered

1 candidates to 0 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 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (- 1.0 z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`sub-neg` `associate-r/` `associate-l/`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 53

Calls

1 calls:

9.0ms

(* (+ x y) (- 1.0 z))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* (+ x y) (- 1.0 z))

simplify45.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	397	499
1	1589	357
2	5001	356

prune78.0ms

Filtered

56 candidates to 29 candidates (51.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	3	57

Merged error: 0b

Counts

57 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (fma 1.0 x (* 1.0 y)) (* (- z) (+ x y)))
0.0b	(* (- z) (+ x y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-l`
9×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `fma-def` `distribute-rgt-neg-in`
2×	`distribute-rgt-in` `expm1-log1p-u` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `neg-mul-1` `associate-+l+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

3.0ms	(+ (fma 1.0 x (* 1.0 y)) (* (- z) (+ x y)))
7.0ms	(* (- z) (+ x y))

series85.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (fma 1.0 x (* 1.0 y)) (* (- z) (+ x y)))
39.0ms	(* (- z) (+ x y))

simplify39.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	289	302
1	1292	273
2	5002	261

prune114.0ms

Filtered

60 candidates to 46 candidates (76.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	61	2	63

Merged error: 0b

Counts

63 → 2

localize7.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	0	0
Total	2	2

Merged error: 0b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x z (* z y))
0.0b	(fma 1.0 y (- (fma x z (* z y))))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

1.0ms	(fma x z (* z y))
1.0ms	(fma 1.0 y (- (fma x z (* z y))))

series77.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(fma x z (* z y))
47.0ms	(fma 1.0 y (- (fma x z (* z y))))

simplify65.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	42	116
1	113	102
2	436	102
3	2118	102
4	5002	102

prune51.0ms

Filtered

26 candidates to 20 candidates (76.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	26	2	28

Merged error: 0b

Counts

28 → 2

regimes61.0ms

Accuracy

92.5% (0.9b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 12.4b

bsearch35.0ms

Steps

Iters	Range		Point
3	18724.121991280714	23682.176306478614	22132.784332979267
6	-0.007334616805611751	-0.0013599480658119621	-0.0027006521927979837

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	8
1	23	8

end0.0ms

sample461.0ms

Algorithm

intervals

Results

246.0ms	10191×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid