Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

315×

body

valid

simplify136.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (42.0ms)

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

prune5.0ms

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: 2.8b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

2.6b	(* (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)

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 2 (13.0ms)

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

prune47.0ms

Filtered

23 candidates to 16 candidates (69.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	18	5	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	6	24

Merged error: 2.7b

Counts

24 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (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))
2.9b	(cbrt (fma (- y 1.0) z 1.0))
2.9b	(cbrt (fma (- y 1.0) z 1.0))
2.9b	(cbrt (fma (- y 1.0) z 1.0))

rewrite14.0ms

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:

9.0ms	(* (* (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))

series332.0ms

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))
92.0ms	(cbrt (fma (- y 1.0) z 1.0))
94.0ms	(cbrt (fma (- y 1.0) z 1.0))
95.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify84.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (76.0ms)

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

prune167.0ms

Filtered

75 candidates to 58 candidates (77.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	74	7	81

Merged error: 2.7b

Counts

81 → 7

localize9.0ms

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)) (* (cbrt (fma (- y 1.0) z 1.0)) x)))
2.9b	(cbrt (fma (- y 1.0) z 1.0))
2.9b	(cbrt (fma (- y 1.0) z 1.0))
2.9b	(cbrt (fma (- y 1.0) z 1.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

8.0ms	(* (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))

series331.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (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)))
93.0ms	(cbrt (fma (- y 1.0) z 1.0))
93.0ms	(cbrt (fma (- y 1.0) z 1.0))
94.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify86.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	270	805
1	831	692
2	3372	586
3	5001	554

prune177.0ms

Filtered

77 candidates to 62 candidates (80.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	77	7	84

Merged error: 2.7b

Counts

84 → 7

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* x z))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 20

Calls

1 calls:

3.0ms

(- x (* x z))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(- x (* x z))

simplify49.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	89	96
1	288	84
2	1343	83
3	5001	69

prune31.0ms

Filtered

23 candidates to 17 candidates (73.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	20	10	30

Merged error: 2.7b

Counts

30 → 10

regimes100.0ms

Accuracy

0% (0.1b remaining)

Error of 3.5b against oracle of 3.3b and baseline of 3.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample487.0ms

Algorithm

intervals

Results

282.0ms

10143×

body

valid