Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

362×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	2
1	24	2
2	47	2
3	71	2
4	71	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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(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)

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(fma (fma x y z) y t)

simplify57.0ms

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

prune33.0ms

Filtered

13 candidates to 11 candidates (84.6%)

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

localize10.0ms

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)))
0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(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:

5.0ms	(* (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))

series620.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
148.0ms	(cbrt (fma (fma x y z) y t))
147.0ms	(cbrt (fma (fma x y z) y t))
143.0ms	(cbrt (fma (fma x y z) y t))

simplify177.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (30.0ms)

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

prune416.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	89	7	96

Merged error: 0.0b

Counts

96 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))
0.6b	(cbrt (cbrt (fma (fma x y z) y t)))
0.9b	(pow (cbrt (cbrt (fma (fma x y z) y t))) 4)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt (fma (fma x y z) y t))
4.0ms	(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))
2.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
4.0ms	(pow (cbrt (cbrt (fma (fma x y z) y t))) 4)

series736.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (fma (fma x y z) y t))
182.0ms	(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))
144.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
258.0ms	(pow (cbrt (cbrt (fma (fma x y z) y t))) 4)

simplify48.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	387	643
1	1357	577
2	5001	535

prune275.0ms

Filtered

78 candidates to 63 candidates (80.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	79	6	85

Merged error: 0.0b

Counts

85 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))
0.6b	(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))
0.6b	(cbrt (cbrt (fma (fma x y z) y t)))
0.9b	(pow (cbrt (cbrt (fma (fma x y z) y t))) 4)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

4.0ms	(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))
7.0ms	(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))
2.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
4.0ms	(pow (cbrt (cbrt (fma (fma x y z) y t))) 4)

series768.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))
178.0ms	(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))
149.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
259.0ms	(pow (cbrt (cbrt (fma (fma x y z) y t))) 4)

simplify42.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	327	690
1	1152	608
2	5001	558

prune295.0ms

Filtered

76 candidates to 63 candidates (82.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	76	6	82

Merged error: 0.0b

Counts

82 → 6

regimes124.0ms

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

sample595.0ms

Algorithm

intervals

Results

290.0ms

11262×

body

valid