Details

sample39.0ms

Algorithm

intervals

Results

19.0ms

409×

body

valid

simplify26.0ms

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

prune10.0ms

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 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ (+ x (* y z)) (* t a))
3.3b	(* (* a z) b)

rewrite25.0ms

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))
9.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(+ (+ x (* y z)) (* t a))
6.0ms	(* (* a z) b)

series216.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ x (* y z))
97.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
54.0ms	(+ (+ x (* y z)) (* t a))
29.0ms	(* (* a z) b)

simplify69.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (60.0ms)

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

prune244.0ms

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: 0b

Counts

87 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
0.0b	(+ (+ x (* y z)) (* t a))
3.1b	(* a (* z b))

rewrite25.0ms

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))
9.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
6.0ms	(+ (+ x (* y z)) (* t a))
5.0ms	(* a (* z b))

series208.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ x (* y z))
96.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
55.0ms	(+ (+ x (* y z)) (* t a))
28.0ms	(* a (* z b))

simplify59.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (52.0ms)

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

prune223.0ms

Filtered

85 candidates to 66 candidates (77.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize10.0ms

Local error

Found 1 expressions with local error:

5.2b	(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))

series112.0ms

Counts

1 → 3

Calls

1 calls:

112.0ms

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

simplify74.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (11.0ms)

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

prune48.0ms

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: 0b

Counts

17 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.2b	(pow (* (* a z) b) 3)
3.3b	(* (* a z) b)
26.6b	(cbrt (pow (* (* a z) b) 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-log-exp`
8×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `pow-pow` `fma-def` `associate-r` `pow-exp` `sum-log` `rem-cube-cbrt`
2×	`cube-mult` `unpow-prod-down` `unpow3` `cube-prod` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+l+` `flip3-+` `pow1/3` `associate-l` `*-commutative` `rem-cbrt-cube` `flip-+`

Counts

4 → 84

Calls

4 calls:

6.0ms	(+ (+ x (* y z)) (* t a))
6.0ms	(pow (* (* a z) b) 3)
6.0ms	(* (* a z) b)
4.0ms	(cbrt (pow (* (* a z) b) 3))

series274.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (+ x (* y z)) (* t a))
128.0ms	(pow (* (* a z) b) 3)
33.0ms	(* (* a z) b)
53.0ms	(cbrt (pow (* (* a z) b) 3))

simplify75.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	305	354
1	1503	324
2	5002	320

prune251.0ms

Filtered

96 candidates to 65 candidates (67.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	96	4	100

Merged error: 0b

Counts

100 → 4

regimes187.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	20	7

end0.0ms

sample999.0ms

Algorithm

intervals

Results

575.0ms

11823×

body

valid