Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

336×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	9	3
1	11	3
2	13	2
3	14	2
4	14	2

prune8.0ms

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: 0.0b

Counts

2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ y z) y 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 (/ y z) y x)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(fma (/ y z) y x)

simplify36.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	44
1	68	39
2	221	39
3	820	39
4	5002	39

prune26.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	10	5	15

Merged error: 0.0b

Counts

15 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
0.6b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (fma (/ y z) y x))

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 (/ y z) y x)) (cbrt (fma (/ y z) y x)))
1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))

series344.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
86.0ms	(cbrt (fma (/ y z) y x))
85.0ms	(cbrt (fma (/ y z) y x))
86.0ms	(cbrt (fma (/ y z) y x))

simplify78.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	157	649
1	570	598
2	2522	552
3	5001	529

prune195.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	91	7	98

Merged error: 0.0b

Counts

98 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
0.6b	(cbrt (cbrt (fma (/ y z) y x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`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 → 53

Calls

4 calls:

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

series355.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt (fma (/ y z) y x))
91.0ms	(cbrt (fma (/ y z) y x))
88.0ms	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
87.0ms	(cbrt (cbrt (fma (/ y z) y x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	141	456
1	336	416
2	1167	408
3	5002	387

prune201.0ms

Filtered

65 candidates to 62 candidates (95.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	65	7	72

Merged error: 0.0b

Counts

72 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (* y y) z))
9.8b	(/ (* y y) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`add-log-exp`
3×	`fma-def` `times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 40

Calls

2 calls:

4.0ms	(+ x (/ (* y y) z))
5.0ms	(/ (* y y) z)

series46.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ x (/ (* y y) z))
18.0ms	(/ (* y y) z)

simplify87.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	176	173
1	675	155
2	2852	150
3	5002	149

prune63.0ms

Filtered

46 candidates to 34 candidates (73.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	3	1	4
Picked	0	1	1
Done	0	2	2
Total	48	5	53

Merged error: 0b

Counts

53 → 5

regimes119.0ms

Accuracy

0% (0.1b 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	5	2

end0.0ms

sample530.0ms

Algorithm

intervals

Results

297.0ms

10553×

body

valid