Details

sample32.0ms

Algorithm

intervals

Results

20.0ms

354×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	20	4
2	39	4
3	47	4
4	47	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`flip3-+` `associate-r` `associate-l` `flip-+`
2×	`+-commutative` `associate-*l/` `sum-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

8.0ms	(+ (* (+ (* x y) z) y) t)
3.0ms	(+ (* x y) z)
10.0ms	(* (+ (* x y) z) y)

series124.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ (* (+ (* x y) z) y) t)
23.0ms	(+ (* x y) z)
36.0ms	(* (+ (* x y) z) y)

simplify105.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	208	263
1	742	237
2	4187	233
3	5002	233

prune118.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
7.6b	(cbrt (* (+ (* x y) z) y))
7.6b	(cbrt (* (+ (* x y) z) y))
7.6b	(cbrt (* (+ (* x y) z) y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

12.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
4.0ms	(cbrt (* (+ (* x y) z) y))
4.0ms	(cbrt (* (+ (* x y) z) y))
4.0ms	(cbrt (* (+ (* x y) z) y))

series583.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
133.0ms	(cbrt (* (+ (* x y) z) y))
133.0ms	(cbrt (* (+ (* x y) z) y))
142.0ms	(cbrt (* (+ (* x y) z) y))

simplify150.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	354	828
1	1098	762
2	4863	684
3	5001	684

prune287.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) z)
0.1b	(* (+ (* x y) z) y)
0.2b	(pow (* (+ (* x y) z) y) 3)
34.0b	(cbrt (pow (* (+ (* x y) z) y) 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-*l/` `add-log-exp`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow` `associate-r` `associate-l`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

3.0ms	(+ (* x y) z)
13.0ms	(* (+ (* x y) z) y)
5.0ms	(pow (* (+ (* x y) z) y) 3)
2.0ms	(cbrt (pow (* (+ (* x y) z) y) 3))

series245.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (* x y) z)
41.0ms	(* (+ (* x y) z) y)
121.0ms	(pow (* (+ (* x y) z) y) 3)
59.0ms	(cbrt (pow (* (+ (* x y) z) y) 3))

simplify54.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	305	440
1	1487	419
2	5002	417

prune210.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (+ (* x y) z) (sqrt y)) (sqrt y)) t)
0.0b	(+ (* x y) z)
0.1b	(* (* (+ (* x y) z) (sqrt y)) (sqrt y))
0.2b	(* (+ (* x y) z) (sqrt y))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-log-exp`
7×	`sqrt-prod`
6×	`associate-*l/`
4×	`flip3-+` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`+-commutative` `sum-log` `*-commutative` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

18.0ms	(+ (* (* (+ (* x y) z) (sqrt y)) (sqrt y)) t)
3.0ms	(+ (* x y) z)
20.0ms	(* (* (+ (* x y) z) (sqrt y)) (sqrt y))
12.0ms	(* (+ (* x y) z) (sqrt y))

series235.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(+ (* (* (+ (* x y) z) (sqrt y)) (sqrt y)) t)
24.0ms	(+ (* x y) z)
52.0ms	(* (* (+ (* x y) z) (sqrt y)) (sqrt y))
62.0ms	(* (+ (* x y) z) (sqrt y))

simplify48.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	314	537
1	1300	458
2	5001	448

prune182.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes148.0ms

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	12	4
1	12	4

end0.0ms

sample956.0ms

Algorithm

intervals

Results

667.0ms

11160×

body

valid