Details

sample29.0ms

Algorithm

intervals

Results

18.0ms

358×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

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:

0.0ms

(fma (/ y z) y x)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma (/ y z) y x)

simplify46.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (6.0ms)

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

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

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 (/ 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))

series405.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
101.0ms	(cbrt (fma (/ y z) y x))
102.0ms	(cbrt (fma (/ y z) y x))
102.0ms	(cbrt (fma (/ y z) y x))

simplify97.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (88.0ms)

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

prune251.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`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 → 46

Calls

4 calls:

1.0ms	(cbrt (fma (/ y z) y x))
3.0ms	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
3.0ms	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
3.0ms	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

series408.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(cbrt (fma (/ y z) y x))
101.0ms	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
105.0ms	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
102.0ms	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

simplify117.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	116	496
1	260	438
2	824	430
3	3367	405
4	5001	405

prune209.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (* y y) z))
6.7b	(/ (* y y) z)

rewrite9.0ms

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))
4.0ms	(/ (* y y) z)

series57.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ x (/ (* y y) z))
21.0ms	(/ (* y y) z)

simplify93.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (90.0ms)

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

prune95.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample693.0ms

Algorithm

intervals

Results

453.0ms

10693×

body

valid