Details

sample35.0ms

Algorithm

intervals

Results

9.0ms	274×	body	80	nan
7.0ms	270×	body	80	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	5
1	51	4
2	86	4
3	126	4
4	151	4
5	169	4
6	185	4
7	187	4
8	187	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

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

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(fma (sqrt z) y x)

simplify62.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (59.0ms)

Iter	Nodes	Cost
0	70	58
1	176	50
2	528	50
3	1813	46
4	5001	43

prune45.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

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:

11.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))

series1.2s

Counts

4 → 12

Calls

4 calls:

236.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
314.0ms	(cbrt (fma (sqrt z) y x))
306.0ms	(cbrt (fma (sqrt z) y x))
306.0ms	(cbrt (fma (sqrt z) y x))

simplify40.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	318	868
1	1125	805
2	5001	760

prune328.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`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 → 50

Calls

4 calls:

1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
5.0ms	(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))

series1.2s

Counts

4 → 12

Calls

4 calls:

316.0ms	(cbrt (fma (sqrt z) y x))
311.0ms	(cbrt (fma (sqrt z) y x))
311.0ms	(cbrt (fma (sqrt z) y x))
245.0ms	(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))

simplify87.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	282	629
1	835	579
2	3213	568
3	5002	533

prune300.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`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 → 50

Calls

4 calls:

1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
5.0ms	(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))

series1.2s

Counts

4 → 12

Calls

4 calls:

320.0ms	(cbrt (fma (sqrt z) y x))
315.0ms	(cbrt (fma (sqrt z) y x))
306.0ms	(cbrt (fma (sqrt z) y x))
236.0ms	(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))

simplify89.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	282	629
1	835	579
2	3213	568
3	5002	533

prune341.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes197.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample908.0ms

Algorithm

intervals

Results

218.0ms	8497×	body	80	valid
216.0ms	8475×	body	80	nan