Details

sample35.0ms

Algorithm

intervals

Results

17.0ms

375×

body

valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (20.0ms)

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

prune11.0ms

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

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.1b	(* (* a z) b)

rewrite24.0ms

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:

3.0ms	(+ x (* y z))
5.0ms	(+ (+ x (* y z)) (* t a))
9.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(* (* a z) b)

series195.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ x (* y z))
52.0ms	(+ (+ x (* y z)) (* t a))
89.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
27.0ms	(* (* a z) b)

simplify64.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (57.0ms)

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

prune240.0ms

Filtered

85 candidates to 68 candidates (80.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	83	4	87

Merged error: 0.0b

Counts

87 → 4

localize14.0ms

Local error

Found 1 expressions with local error:

2.0b	(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))

series98.0ms

Counts

1 → 3

Calls

1 calls:

98.0ms

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

simplify67.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (9.0ms)

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 (2 fresh and 2 done)

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

Merged error: 0.0b

Counts

17 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
4.9b	(* a (* z b))

rewrite29.0ms

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-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-r` `*-commutative`

Counts

4 → 73

Calls

4 calls:

3.0ms	(+ x (* y z))
5.0ms	(+ (+ x (* y z)) (* t a))
13.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
6.0ms	(* a (* z b))

series191.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ x (* y z))
47.0ms	(+ (+ x (* y z)) (* t a))
88.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
27.0ms	(* a (* z b))

simplify50.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	346	404
1	1564	338
2	5001	329

prune217.0ms

Filtered

85 candidates to 65 candidates (76.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (sqrt a) (* (sqrt a) (* z b))))
0.8b	(* (sqrt a) (* (sqrt a) (* z b)))
1.3b	(* (sqrt a) (* z b))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

5.0ms	(+ (+ x (* y z)) (* t a))
10.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (sqrt a) (* (sqrt a) (* z b))))
10.0ms	(* (sqrt a) (* (sqrt a) (* z b)))
6.0ms	(* (sqrt a) (* z b))

series242.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ (+ x (* y z)) (* t a))
98.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (sqrt a) (* (sqrt a) (* z b))))
36.0ms	(* (sqrt a) (* (sqrt a) (* z b)))
51.0ms	(* (sqrt a) (* z b))

simplify72.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	403	633
1	1947	493
2	5002	476

prune262.0ms

Filtered

98 candidates to 71 candidates (72.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

regimes261.0ms

Accuracy

75.5% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.4b

bsearch105.0ms

Steps

Iters	Range		Point
7	5.661386535601215e+142	6.623747578396011e+144	5.792861305246143e+142
7	-1.4589195677542865e+81	-1.9189793615914056e+79	-1.8818349257803475e+80

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	14
1	35	14

end0.0ms

sample967.0ms

Algorithm

intervals

Results

555.0ms

11823×

body

valid