Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

317×

body

valid

simplify151.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (51.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	92	4
3	232	4
4	491	4
5	785	4
6	1115	4
7	1482	4
8	2218	3
9	3349	3
10	4819	3
11	5001	3

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 3.9b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

3.6b	(* (fma (- y 1.0) z 1.0) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

3.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	94	116
1	301	98
2	1482	94
3	5002	94

prune54.0ms

Filtered

23 candidates to 16 candidates (69.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	17	6	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	7	24

Merged error: 3.7b

Counts

24 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (* (cbrt (fma (- y 1.0) z 1.0)) x))
3.8b	(cbrt (fma (- y 1.0) z 1.0))
3.8b	(cbrt (fma (- y 1.0) z 1.0))
3.8b	(cbrt (fma (- y 1.0) z 1.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 63

Calls

4 calls:

10.0ms	(* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (* (cbrt (fma (- y 1.0) z 1.0)) x))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))

series353.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (* (cbrt (fma (- y 1.0) z 1.0)) x))
99.0ms	(cbrt (fma (- y 1.0) z 1.0))
102.0ms	(cbrt (fma (- y 1.0) z 1.0))
101.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify88.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	270	794
1	864	635
2	3690	546
3	5002	517

prune187.0ms

Filtered

75 candidates to 58 candidates (77.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	74	8	82

Merged error: 3.7b

Counts

82 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.7b	(* (* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
2.2b	(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
11×	`add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-r`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
10.0ms	(* (* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
7.0ms	(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))

series568.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt x)
175.0ms	(cbrt x)
71.0ms	(* (* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
136.0ms	(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	273	597
1	1207	457
2	5001	401

prune206.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	3	2	5
Picked	1	0	1
Done	1	1	2
Total	87	6	93

Merged error: 0.0b

Counts

93 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x 1.0 (* (* x z) (- y 1.0)))
1.5b	(* (* x z) (- y 1.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

1.0ms	(fma x 1.0 (* (* x z) (- y 1.0)))
8.0ms	(* (* x z) (- y 1.0))

series105.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(fma x 1.0 (* (* x z) (- y 1.0)))
48.0ms	(* (* x z) (- y 1.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	323	512
1	1370	346
2	5001	334

prune84.0ms

Filtered

62 candidates to 31 candidates (50.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	61	7	68

Merged error: 0.0b

Counts

68 → 7

regimes97.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample445.0ms

Algorithm

intervals

Results

244.0ms

10044×

body

valid