Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

328×

body

valid

simplify157.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (54.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	92	4
3	232	4
4	491	4
5	785	4
6	1115	4
7	1482	4
8	2218	3
9	3349	3
10	4819	3
11	5001	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- y 1.0) z 1.0)
3.1b	(* (fma (- y 1.0) z 1.0) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma (- y 1.0) z 1.0)
3.0ms	(* (fma (- y 1.0) z 1.0) x)

series85.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(fma (- y 1.0) z 1.0)
56.0ms	(* (fma (- y 1.0) z 1.0) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	108	166
1	323	137
2	1922	133
3	5001	133

prune94.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.2b

localize10.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (cbrt (fma (- y 1.0) z 1.0))) x)
3.4b	(cbrt (fma (- y 1.0) z 1.0))
3.4b	(cbrt (fma (- y 1.0) z 1.0))
3.4b	(cbrt (fma (- y 1.0) z 1.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
9×	`cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 62

Calls

4 calls:

49.0ms	(* (* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (cbrt (fma (- y 1.0) z 1.0))) x)
0.0ms	(cbrt (fma (- y 1.0) z 1.0))
0.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))

series373.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (cbrt (fma (- y 1.0) z 1.0))) x)
108.0ms	(cbrt (fma (- y 1.0) z 1.0))
107.0ms	(cbrt (fma (- y 1.0) z 1.0))
106.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify122.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	273	779
1	963	634
2	4839	536
3	5001	527

prune236.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

1.1b	(fma (* x z) (- y 1.0) (* 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 (* x z) (- y 1.0) (* 1.0 x))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(fma (* x z) (- y 1.0) (* 1.0 x))

simplify123.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (25.0ms)

Iter	Nodes	Cost
0	48	80
1	125	65
2	491	62
3	3197	61
4	5001	61

prune49.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (* x z) (- y 1.0) (* 1.0 x)))
1.1b	(fma (* x z) (- y 1.0) (* 1.0 x))
1.1b	(fma (* x z) (- y 1.0) (* 1.0 x))
1.1b	(fma (* x z) (- y 1.0) (* 1.0 x))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

0.0ms	(cbrt (fma (* x z) (- y 1.0) (* 1.0 x)))
0.0ms	(fma (* x z) (- y 1.0) (* 1.0 x))
0.0ms	(fma (* x z) (- y 1.0) (* 1.0 x))
0.0ms	(fma (* x z) (- y 1.0) (* 1.0 x))

series352.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt (fma (* x z) (- y 1.0) (* 1.0 x)))
57.0ms	(fma (* x z) (- y 1.0) (* 1.0 x))
52.0ms	(fma (* x z) (- y 1.0) (* 1.0 x))
57.0ms	(fma (* x z) (- y 1.0) (* 1.0 x))

simplify66.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	201	450
1	558	392
2	2167	374
3	5001	338

prune197.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes89.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample452.0ms

Algorithm

intervals

Results

245.0ms

10181×

body

valid