Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

314×

body

valid

simplify186.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	10	3
1	19	2
2	35	2
3	57	2
4	74	2
5	88	2
6	109	2
7	163	2
8	329	2
9	652	2
10	1169	2
11	1615	2
12	2261	2
13	3963	2
14	5001	2

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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma z (- y x) 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 z (- y x) x)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(fma z (- y x) x)

simplify43.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	32	50
1	67	39
2	280	39
3	1533	39
4	5002	39

prune27.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	3	14

Merged error: 0.0b

Counts

14 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (- y x) x)
0.0b	(sqrt (fma z (- y x) x))
0.0b	(sqrt (fma z (- y x) x))
0.3b	(* (sqrt (fma z (- y x) x)) (sqrt (fma z (- y x) x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma z (- y x) x)
1.0ms	(sqrt (fma z (- y x) x))
1.0ms	(sqrt (fma z (- y x) x))
6.0ms	(* (sqrt (fma z (- y x) x)) (sqrt (fma z (- y x) x)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(fma z (- y x) x)
62.0ms	(sqrt (fma z (- y x) x))
73.0ms	(sqrt (fma z (- y x) x))
24.0ms	(* (sqrt (fma z (- y x) x)) (sqrt (fma z (- y x) x)))

simplify144.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (136.0ms)

Iter	Nodes	Cost
0	178	483
1	611	409
2	3446	389
3	5001	378

prune157.0ms

Filtered

103 candidates to 59 candidates (57.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	103	3	106

Merged error: 0.0b

Counts

106 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z (- y x) x)
0.1b	(pow (fma z (- y x) x) 3)
41.4b	(cbrt (pow (fma z (- y x) x) 3))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

1.0ms	(fma z (- y x) x)
2.0ms	(pow (fma z (- y x) x) 3)
2.0ms	(cbrt (pow (fma z (- y x) x) 3))

series126.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(fma z (- y x) x)
76.0ms	(pow (fma z (- y x) x) 3)
26.0ms	(cbrt (pow (fma z (- y x) x) 3))

simplify33.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	168	305
1	688	280
2	5001	274

prune96.0ms

Filtered

67 candidates to 37 candidates (55.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	68	2	70

Merged error: 0b

Counts

70 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fma z (- y x) x) (fma z (- y x) x))
0.3b	(* (cbrt (* (fma z (- y x) x) (fma z (- y x) x))) (cbrt (fma z (- y x) x)))
0.6b	(cbrt (fma z (- y x) x))
29.2b	(cbrt (* (fma z (- y x) x) (fma z (- y x) x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`pow1` `cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r`
8×	`add-exp-log`
7×	`associate-l`
6×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `pow1/3` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr` `pow-prod-down`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow3` `pow-sqr` `pow-prod-up`

Counts

4 → 82

Calls

4 calls:

4.0ms	(* (fma z (- y x) x) (fma z (- y x) x))
5.0ms	(* (cbrt (* (fma z (- y x) x) (fma z (- y x) x))) (cbrt (fma z (- y x) x)))
1.0ms	(cbrt (fma z (- y x) x))
2.0ms	(cbrt (* (fma z (- y x) x) (fma z (- y x) x)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (fma z (- y x) x) (fma z (- y x) x))
24.0ms	(* (cbrt (* (fma z (- y x) x) (fma z (- y x) x))) (cbrt (fma z (- y x) x)))
130.0ms	(cbrt (fma z (- y x) x))
188.0ms	(cbrt (* (fma z (- y x) x) (fma z (- y x) x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	342	790
1	1295	704
2	5001	651

prune197.0ms

Filtered

94 candidates to 71 candidates (75.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	94	2	96

Merged error: 0b

Counts

96 → 2

regimes41.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	2

end0.0ms

sample446.0ms

Algorithm

intervals

Results

243.0ms

10196×

body

valid