Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

355×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	2
1	24	2
2	47	2
3	71	2
4	71	2

prune6.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

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 x y z) y t)

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(fma (fma x y z) y t)

simplify64.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	39	47
1	91	38
2	366	38
3	1887	38
4	5001	38

prune36.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	4	14

Merged error: 0.0b

Counts

14 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
0.5b	(cbrt (fma (fma x y z) y t))
0.5b	(cbrt (fma (fma x y z) y t))
0.5b	(cbrt (fma (fma x y z) y t))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))

series642.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
150.0ms	(cbrt (fma (fma x y z) y t))
163.0ms	(cbrt (fma (fma x y z) y t))
150.0ms	(cbrt (fma (fma x y z) y t))

simplify179.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	246	698
1	931	634
2	4917	570
3	5001	570

prune246.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	92	5	97

Merged error: 0.0b

Counts

97 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (fma x y z) y t))
0.5b	(cbrt (cbrt (fma (fma x y z) y t)))
0.5b	(cbrt (cbrt (fma (fma x y z) y t)))
0.5b	(cbrt (cbrt (fma (fma x y z) y t)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt (fma (fma x y z) y t))
2.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
2.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
2.0ms	(cbrt (cbrt (fma (fma x y z) y t)))

series605.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (fma (fma x y z) y t))
155.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
146.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
153.0ms	(cbrt (cbrt (fma (fma x y z) y t)))

simplify70.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	194	560
1	519	510
2	2168	490
3	5002	478

prune270.0ms

Filtered

73 candidates to 69 candidates (94.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	73	5	78

Merged error: 0.0b

Counts

78 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`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×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

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

series487.0ms

Counts

4 → 12

Calls

4 calls:

321.0ms	(sqrt (fma (fma x y z) y t))
56.0ms	(fma (fma x y z) y t)
54.0ms	(fma (fma x y z) y t)
56.0ms	(* (sqrt (fma (fma x y z) y t)) (sqrt (fma (fma x y z) y t)))

simplify174.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	207	441
1	758	374
2	4790	357
3	5001	357

prune174.0ms

Filtered

98 candidates to 57 candidates (58.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	1	0	1
Picked	0	1	1
Done	1	2	3
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

regimes94.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2

end0.0ms

sample659.0ms

Algorithm

intervals

Results

353.0ms

11295×

body

valid