Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

357×

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: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

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:

7.0ms	(+ (* x y) z)
15.0ms	(+ (* (+ (* x y) z) y) t)
28.0ms	(* (+ (* x y) z) y)

series123.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (* x y) z)
63.0ms	(+ (* (+ (* x y) z) y) t)
38.0ms	(* (+ (* x y) z) y)

simplify108.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (26.0ms)

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

prune97.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
7.0b	(cbrt (* (+ (* x y) z) y))
7.0b	(cbrt (* (+ (* x y) z) y))
7.0b	(cbrt (* (+ (* x y) z) y))

rewrite67.0ms

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:

36.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
10.0ms	(cbrt (* (+ (* x y) z) y))
10.0ms	(cbrt (* (+ (* x y) z) y))
9.0ms	(cbrt (* (+ (* x y) z) y))

series551.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
130.0ms	(cbrt (* (+ (* x y) z) y))
130.0ms	(cbrt (* (+ (* x y) z) y))
128.0ms	(cbrt (* (+ (* x y) z) y))

simplify138.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (32.0ms)

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

prune253.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt y)
7.0b	(cbrt (* (+ (* x y) z) y))
7.0b	(cbrt (* (+ (* x y) z) y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `associate-*l/` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`

Counts

4 → 46

Calls

4 calls:

5.0ms	(cbrt (+ (* x y) z))
3.0ms	(cbrt y)
9.0ms	(cbrt (* (+ (* x y) z) y))
9.0ms	(cbrt (* (+ (* x y) z) y))

series542.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt (+ (* x y) z))
172.0ms	(cbrt y)
127.0ms	(cbrt (* (+ (* x y) z) y))
126.0ms	(cbrt (* (+ (* x y) z) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	278	394
1	702	366
2	2505	340
3	5002	337

prune226.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite15.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series718.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt y) (cbrt y))
174.0ms	(cbrt y)
178.0ms	(cbrt y)
172.0ms	(cbrt y)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune211.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes168.0ms

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

sample619.0ms

Algorithm

intervals

Results

254.0ms

11289×

body

valid