Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

392×

body

valid

simplify284.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	16	6
1	33	4
2	56	4
3	76	3
4	88	3
5	131	3
6	236	3
7	328	3
8	343	3
9	443	3
10	797	3
11	3499	3
12	5001	3

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z z))
0.1b	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`sum-log`
4×	`fma-def`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
1×	`associate-+l+`

Counts

2 → 33

Calls

2 calls:

8.0ms	(+ (* x y) (* z z))
122.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series91.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* x y) (* z z))
49.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify105.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	193	260
1	873	214
2	3668	199
3	5001	195

prune94.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(+ (+ (fma x y (* z z)) (* z z)) (* z z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`fma-def` `sum-log`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 18

Calls

1 calls:

28.0ms

(+ (+ (fma x y (* z z)) (* z z)) (* z z))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(+ (+ (fma x y (* z z)) (* z z)) (* z z))

simplify72.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	115	153
1	521	127
2	2209	115
3	5001	112

prune63.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 3 (pow z 2) (* x 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 3 (pow z 2) (* x y))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(fma 3 (pow z 2) (* x y))

simplify51.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	27	59
1	72	52
2	248	52
3	1030	52
4	5001	52

prune43.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (fma x y (* z z)) (* z z))) (cbrt (+ (fma x y (* z z)) (* z z))))
2.4b	(cbrt (+ (fma x y (* z z)) (* z z)))
2.4b	(cbrt (+ (fma x y (* z z)) (* z z)))
2.4b	(cbrt (+ (fma x y (* z z)) (* z z)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

31.0ms	(* (cbrt (+ (fma x y (* z z)) (* z z))) (cbrt (+ (fma x y (* z z)) (* z z))))
3.0ms	(cbrt (+ (fma x y (* z z)) (* z z)))
3.0ms	(cbrt (+ (fma x y (* z z)) (* z z)))
3.0ms	(cbrt (+ (fma x y (* z z)) (* z z)))

series623.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (cbrt (+ (fma x y (* z z)) (* z z))) (cbrt (+ (fma x y (* z z)) (* z z))))
148.0ms	(cbrt (+ (fma x y (* z z)) (* z z)))
151.0ms	(cbrt (+ (fma x y (* z z)) (* z z)))
148.0ms	(cbrt (+ (fma x y (* z z)) (* z z)))

simplify84.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	303	1300
1	959	1217
2	3604	1125
3	5001	1110

prune306.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes154.0ms

Accuracy

0% (0.1b 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	9	6
1	9	6

end0.0ms

sample821.0ms

Algorithm

intervals

Results

484.0ms

12229×

body

valid