Details

sample56.0ms

Algorithm

intervals

Results

28.0ms

362×

body

valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (18.0ms)

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

prune16.0ms

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

localize17.0ms

Local error

Found 1 expressions with local error:

1.7b	(fma (fma a b y) z (fma a t x))

rewrite2.0ms

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))

series92.0ms

Counts

1 → 3

Calls

1 calls:

91.0ms

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

simplify53.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

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

prune42.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (fma a b y) z (fma a t x)))
1.7b	(fma (fma a b y) z (fma a t x))
1.7b	(fma (fma a b y) z (fma a t x))
1.7b	(fma (fma a b y) z (fma a t x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (fma a b y) z (fma a t x)))
1.0ms	(fma (fma a b y) z (fma a t x))
1.0ms	(fma (fma a b y) z (fma a t x))
1.0ms	(fma (fma a b y) z (fma a t x))

series473.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(cbrt (fma (fma a b y) z (fma a t x)))
83.0ms	(fma (fma a b y) z (fma a t x))
83.0ms	(fma (fma a b y) z (fma a t x))
83.0ms	(fma (fma a b y) z (fma a t x))

simplify35.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	126	287
1	310	257
2	1134	248
3	5002	246

prune187.0ms

Filtered

55 candidates to 51 candidates (92.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	54	5	59

Merged error: 0.0b

Counts

59 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

1.7b	(fma (fma a b y) z (fma a t x))
1.7b	(fma (fma a b y) z (fma a t x))
1.7b	(fma (fma a b y) z (fma a t x))
1.7b	(fma (fma a b y) z (fma a t x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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

4 → 40

Calls

4 calls:

1.0ms	(fma (fma a b y) z (fma a t x))
1.0ms	(fma (fma a b y) z (fma a t x))
1.0ms	(fma (fma a b y) z (fma a t x))
1.0ms	(fma (fma a b y) z (fma a t x))

series331.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(fma (fma a b y) z (fma a t x))
83.0ms	(fma (fma a b y) z (fma a t x))
82.0ms	(fma (fma a b y) z (fma a t x))
82.0ms	(fma (fma a b y) z (fma a t x))

simplify57.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	44	232
1	93	204
2	307	196
3	2032	196
4	5002	196

prune213.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	52	5	57

Merged error: 0.0b

Counts

57 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.6b	(* (* 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:

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

series169.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (+ x (* y z)) (* t a))
22.0ms	(+ x (* y z))
77.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
25.0ms	(* (* a z) b)

simplify52.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	358	405
1	1787	339
2	5002	330

prune193.0ms

Filtered

85 candidates to 68 candidates (80.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	0	1
Picked	0	1	1
Done	2	1	3
Total	86	4	90

Merged error: 0b

Counts

90 → 4

regimes202.0ms

Accuracy

88.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.6b

bsearch122.0ms

Steps

Iters	Range		Point
7	5.000226203061288e-119	5.727763748172352e-117	5.475081918976096e-117
9	-6.768690621125346e+66	-2.890589668464834e+60	-1.0819746626039273e+61

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	10
1	32	10

end0.0ms

sample950.0ms

Algorithm

intervals

Results

549.0ms

11826×

body

valid