Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

339×

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

5.0ms	(+ (* (+ (* x y) z) y) t)
10.0ms	(* (+ (* x y) z) y)

series93.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ (* (+ (* x y) z) y) t)
33.0ms	(* (+ (* x y) z) y)

simplify99.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	187	206
1	701	185
2	4076	182
3	5002	182

prune75.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
6.5b	(cbrt (* (+ (* x y) z) y))
6.5b	(cbrt (* (+ (* x y) z) y))
6.5b	(cbrt (* (+ (* x y) z) y))

rewrite28.0ms

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))
6.0ms	(cbrt (* (+ (* x y) z) y))

series534.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
128.0ms	(cbrt (* (+ (* x y) z) y))
122.0ms	(cbrt (* (+ (* x y) z) y))
121.0ms	(cbrt (* (+ (* x y) z) y))

simplify142.0ms

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

prune274.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt y)
6.5b	(cbrt (* (+ (* x y) z) y))
6.5b	(cbrt (* (+ (* x y) z) y))

rewrite11.0ms

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:

2.0ms	(cbrt (+ (* x y) z))
0.0ms	(cbrt y)
4.0ms	(cbrt (* (+ (* x y) z) y))
4.0ms	(cbrt (* (+ (* x y) z) y))

series538.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (+ (* x y) z))
180.0ms	(cbrt y)
129.0ms	(cbrt (* (+ (* x y) z) y))
123.0ms	(cbrt (* (+ (* x y) z) y))

simplify67.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (62.0ms)

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

prune239.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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×	`frac-times` `add-cbrt-cube` `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 → 87

Calls

4 calls:

24.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))

series458.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
108.0ms	(cbrt (+ (* x y) z))
107.0ms	(cbrt (+ (* x y) z))
109.0ms	(cbrt (+ (* x y) z))

simplify141.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (132.0ms)

Iter	Nodes	Cost
0	267	831
1	930	778
2	4394	715
3	5001	710

prune278.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes156.0ms

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

sample806.0ms

Algorithm

intervals

Results

530.0ms

11307×

body

valid