Details

sample33.0ms

Algorithm

intervals

Results

16.0ms

385×

body

valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (14.0ms)

Iter	Nodes	Cost
0	26	7
1	68	4
2	140	4
3	200	4
4	214	4
5	217	3
6	217	3

prune8.0ms

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

localize9.0ms

Local error

Found 1 expressions with local error:

1.5b	(fma (fma a b y) z (fma a t x))

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 (fma a b y) z (fma a t x))

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

(fma (fma a b y) z (fma a t x))

simplify59.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	44	58
1	93	51
2	307	49
3	2032	49
4	5002	49

prune43.0ms

Filtered

13 candidates to 12 candidates (92.3%)

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
6.0b	(* (* a z) b)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 73

Calls

4 calls:

8.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
3.0ms	(+ x (* y z))
5.0ms	(+ (+ x (* y z)) (* t a))
5.0ms	(* (* a z) b)

series181.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
24.0ms	(+ x (* y z))
47.0ms	(+ (+ x (* y z)) (* t a))
25.0ms	(* (* a z) b)

simplify57.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	358	405
1	1787	339
2	5001	330

prune231.0ms

Filtered

85 candidates to 68 candidates (80.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x (* y z)) (fma t a (* (* a z) b)))
0.0b	(+ x (* y z))
6.0b	(* (* a z) b)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
4×	`sum-log`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `associate-+r+` `associate-l` `*-commutative` `fma-udef` `distribute-lft-out`

Counts

3 → 56

Calls

3 calls:

5.0ms	(+ (+ x (* y z)) (fma t a (* (* a z) b)))
3.0ms	(+ x (* y z))
5.0ms	(* (* a z) b)

series135.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ (+ x (* y z)) (fma t a (* (* a z) b)))
27.0ms	(+ x (* y z))
26.0ms	(* (* a z) b)

simplify43.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	272	290
1	1168	246
2	5001	243

prune164.0ms

Filtered

65 candidates to 52 candidates (80.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	65	4	69

Merged error: 0.0b

Counts

69 → 4

localize10.0ms

Local error

Found 1 expressions with local error:

3.1b	(fma a (+ t (* z b)) (fma z y x))

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 a (+ t (* z b)) (fma z y x))

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

(fma a (+ t (* z b)) (fma z y x))

simplify68.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	45	71
1	96	61
2	325	59
3	2271	59
4	5001	59

prune39.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	13	4	17

Merged error: 0.0b

Counts

17 → 4

regimes178.0ms

Accuracy

92.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.7b

bsearch81.0ms

Steps

Iters	Range		Point
7	1.5556617561521648e-54	1.554484708846392e-52	8.799567967124541e-53
6	-9.672136890151637e+51	-6.632400044917705e+50	-2.5804298148702942e+51

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	8
1	31	8
2	31	8

end0.0ms

sample828.0ms

Algorithm

intervals

Results

437.0ms

11709×

body

valid