Details

sample40.0ms

Algorithm

intervals

Results

14.0ms	270×	body	80	valid
13.0ms	298×	body	80	nan

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	13	4
1	25	3
2	44	3
3	69	3
4	102	3
5	171	3
6	192	3
7	225	3
8	316	3
9	351	3
10	351	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (sqrt x) y (- 1.0 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 x) y (- 1.0 x))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(fma (sqrt x) y (- 1.0 x))

simplify43.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (15.0ms)

Iter	Nodes	Cost
0	64	71
1	162	57
2	476	55
3	1755	54
4	5001	54

prune41.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
0.3b	(cbrt (fma (sqrt x) y (- 1.0 x)))
0.3b	(cbrt (fma (sqrt x) y (- 1.0 x)))
0.3b	(cbrt (fma (sqrt x) y (- 1.0 x)))

rewrite9.0ms

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 (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
0.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
0.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
1.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))

series695.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
140.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
280.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
140.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))

simplify103.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	238	888
1	755	823
2	3353	765
3	5001	747

prune274.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (fma (sqrt x) y (- 1.0 x)))
0.3b	(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
0.5b	(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))

rewrite5.0ms

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:

0.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
0.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
3.0ms	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
1.0ms	(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))

series543.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
138.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
129.0ms	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
140.0ms	(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))

simplify77.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	296	641
1	742	591
2	2549	583
3	5001	571

prune275.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
0.4b	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
0.5b	(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

14×	`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 → 51

Calls

4 calls:

0.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
3.0ms	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
3.0ms	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
1.0ms	(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))

series554.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
137.0ms	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
134.0ms	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
144.0ms	(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))

simplify75.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	296	680
1	742	618
2	2549	610
3	5001	598

prune295.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes75.0ms

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	3

end0.0ms

sample1.1s

Algorithm

intervals

Results

440.0ms	8547×	body	80	valid
381.0ms	8584×	body	80	nan