Details

sample25.0ms

Algorithm

intervals

Results

8.0ms

376×

body

valid

simplify9.0ms

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

rewrite37.0ms

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:

8.0ms	(+ (* x y) z)
28.0ms	(* (+ (* x y) z) y)

series53.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (* x y) z)
30.0ms	(* (+ (* x y) z) y)

simplify72.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	143	171
1	557	149
2	3035	148
3	5001	148

prune78.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (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))

rewrite75.0ms

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:

50.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
6.0ms	(cbrt (+ (* x y) z))
8.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))

series408.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
95.0ms	(cbrt (+ (* x y) z))
97.0ms	(cbrt (+ (* x y) z))
100.0ms	(cbrt (+ (* x y) z))

simplify145.0ms

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

prune279.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (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))

rewrite70.0ms

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)))
12.0ms	(cbrt (* (+ (* x y) z) y))
10.0ms	(cbrt (* (+ (* x y) z) y))
10.0ms	(cbrt (* (+ (* x y) z) y))

series496.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
114.0ms	(cbrt (* (+ (* x y) z) y))
117.0ms	(cbrt (* (+ (* x y) z) y))
114.0ms	(cbrt (* (+ (* x y) z) y))

simplify139.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (31.0ms)

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

prune275.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) z))
0.7b	(cbrt y)
6.5b	(cbrt (* (+ (* x y) z) y))
6.5b	(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:

6.0ms	(cbrt (+ (* x y) z))
1.0ms	(cbrt y)
10.0ms	(cbrt (* (+ (* x y) z) y))
10.0ms	(cbrt (* (+ (* x y) z) y))

series499.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(cbrt (+ (* x y) z))
164.0ms	(cbrt y)
120.0ms	(cbrt (* (+ (* x y) z) y))
115.0ms	(cbrt (* (+ (* x y) z) y))

simplify68.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (63.0ms)

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

prune234.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes191.0ms

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

sample659.0ms

Algorithm

intervals

Results

259.0ms

11406×

body

valid