Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

311×

body

valid

simplify162.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (57.0ms)

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

prune6.0ms

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: 3.3b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- y 1.0) z 1.0)
3.1b	(* (fma (- y 1.0) z 1.0) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma (- y 1.0) z 1.0)
3.0ms	(* (fma (- y 1.0) z 1.0) x)

series85.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(fma (- y 1.0) z 1.0)
56.0ms	(* (fma (- y 1.0) z 1.0) x)

simplify58.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	108	166
1	323	137
2	1922	133
3	5001	133

prune83.0ms

Filtered

36 candidates to 26 candidates (72.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	7	38

Merged error: 3.2b

Counts

38 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (* (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))
3.4b	(cbrt (fma (- y 1.0) z 1.0))
3.4b	(cbrt (fma (- y 1.0) z 1.0))
3.4b	(cbrt (fma (- y 1.0) z 1.0))

rewrite18.0ms

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))

series371.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* (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))
106.0ms	(cbrt (fma (- y 1.0) z 1.0))
106.0ms	(cbrt (fma (- y 1.0) z 1.0))
106.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify103.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (88.0ms)

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

prune199.0ms

Filtered

75 candidates to 58 candidates (77.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	74	8	82

Merged error: 3.2b

Counts

82 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (fma (- y 1.0) z 1.0)) (* (cbrt (fma (- y 1.0) z 1.0)) x))
3.4b	(cbrt (fma (- y 1.0) z 1.0))
3.4b	(cbrt (fma (- y 1.0) z 1.0))
3.4b	(cbrt (fma (- y 1.0) z 1.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

6.0ms	(* (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))
6.0ms	(cbrt (fma (- y 1.0) z 1.0))

series758.0ms

Counts

4 → 12

Calls

4 calls:

436.0ms	(* (cbrt (fma (- y 1.0) z 1.0)) (* (cbrt (fma (- y 1.0) z 1.0)) x))
106.0ms	(cbrt (fma (- y 1.0) z 1.0))
107.0ms	(cbrt (fma (- y 1.0) z 1.0))
109.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify114.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	332	725
1	992	669
2	3871	616
3	5001	584

prune229.0ms

Filtered

74 candidates to 64 candidates (86.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	73	9	82

Merged error: 3.2b

Counts

82 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) x)
3.4b	(cbrt (fma (- y 1.0) z 1.0))
3.4b	(cbrt (fma (- y 1.0) z 1.0))
3.4b	(cbrt (fma (- y 1.0) z 1.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

7.0ms	(* (* (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))

series761.0ms

Counts

4 → 12

Calls

4 calls:

439.0ms	(* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) x)
107.0ms	(cbrt (fma (- y 1.0) z 1.0))
109.0ms	(cbrt (fma (- y 1.0) z 1.0))
106.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify130.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	343	710
1	1112	642
2	4684	595
3	5001	577

prune206.0ms

Filtered

72 candidates to 61 candidates (84.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	72	9	81

Merged error: 3.2b

Counts

81 → 9

regimes110.0ms

Accuracy

0% (0.2b remaining)

Error of 3.6b against oracle of 3.4b and baseline of 3.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample424.0ms

Algorithm

intervals

Results

228.0ms

10099×

body

valid