Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

329×

body

valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 10 (55.0ms)

Iter	Nodes	Cost
0	11	4
1	20	4
2	36	4
3	58	4
4	78	4
5	101	4
6	138	4
7	225	4
8	510	4
9	1682	4
10	5001	3

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- 1 y) (/ x z) y)

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 (- 1 y) (/ x z) y)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma (- 1 y) (/ x z) y)

simplify40.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	38	66
1	82	59
2	256	53
3	1313	53
4	5001	53

prune31.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- 1 y) (/ x z)) y)
3.0b	(* (- 1 y) (/ x z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--`

Counts

2 → 55

Calls

2 calls:

7.0ms	(+ (* (- 1 y) (/ x z)) y)
15.0ms	(* (- 1 y) (/ x z))

series54.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* (- 1 y) (/ x z)) y)
28.0ms	(* (- 1 y) (/ x z))

simplify40.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	306	322
1	1459	297
2	5001	287

prune119.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.9b	(* (* (* (cbrt x) (cbrt x)) (- 1 y)) (/ (cbrt x) z))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac` `add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
5×	`associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`frac-times` `flip3--` `associate-*l/` `flip--`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 92

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
0.0ms	(cbrt x)
57.0ms	(* (* (* (cbrt x) (cbrt x)) (- 1 y)) (/ (cbrt x) z))

series600.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt x)
176.0ms	(cbrt x)
175.0ms	(cbrt x)
65.0ms	(* (* (* (cbrt x) (cbrt x)) (- 1 y)) (/ (cbrt x) z))

simplify69.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	432	716
1	2568	547
2	5001	507

prune243.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (- 1 y) x) (/ 1 z)) y)
0.0b	(* (- 1 y) x)
1.9b	(* (* (- 1 y) x) (/ 1 z))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-sqr-sqrt` `add-cbrt-cube`
16×	`associate-r`
15×	`*-un-lft-identity`
13×	`prod-exp`
12×	`add-cube-cbrt`
10×	`pow1`
9×	`times-frac`
8×	`associate-*l/`
7×	`associate-l` `cbrt-unprod`
5×	`add-log-exp`
4×	`div-exp` `pow-prod-down`
3×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `*-commutative` `difference-of-squares`
1×	`+-commutative` `fma-def` `flip3-+` `associate-*r/` `sum-log` `un-div-inv` `flip-+` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 83

Calls

3 calls:

16.0ms	(+ (* (* (- 1 y) x) (/ 1 z)) y)
11.0ms	(* (- 1 y) x)
19.0ms	(* (* (- 1 y) x) (/ 1 z))

series78.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (* (* (- 1 y) x) (/ 1 z)) y)
23.0ms	(* (- 1 y) x)
30.0ms	(* (* (- 1 y) x) (/ 1 z))

simplify51.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	414	481
1	2262	397
2	5002	382

prune154.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample462.0ms

Algorithm

intervals

Results

246.0ms

10199×

body

valid