Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

355×

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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)

rewrite20.0ms

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:

3.0ms	(+ (* x y) z)
5.0ms	(+ (* (+ (* x y) z) y) t)
11.0ms	(* (+ (* x y) z) y)

series113.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (* x y) z)
59.0ms	(+ (* (+ (* x y) z) y) t)
33.0ms	(* (+ (* x y) z) y)

simplify104.0ms

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

prune110.0ms

Filtered

51 candidates to 36 candidates (70.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
8.1b	(cbrt (* (+ (* x y) z) y))
8.1b	(cbrt (* (+ (* x y) z) y))
8.1b	(cbrt (* (+ (* x y) z) y))

rewrite29.0ms

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))

series517.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
121.0ms	(cbrt (* (+ (* x y) z) y))
120.0ms	(cbrt (* (+ (* x y) z) y))
120.0ms	(cbrt (* (+ (* x y) z) y))

simplify138.0ms

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

prune270.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

6 alts after pruning (5 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)
8.1b	(cbrt (* (+ (* x y) z) y))
8.1b	(cbrt (* (+ (* x y) z) y))

rewrite12.0ms

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))

series525.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt (+ (* x y) z))
180.0ms	(cbrt y)
122.0ms	(cbrt (* (+ (* x y) z) y))
121.0ms	(cbrt (* (+ (* x y) z) y))

simplify66.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (61.0ms)

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

prune232.0ms

Filtered

58 candidates to 53 candidates (91.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite32.0ms

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:

21.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
2.0ms	(cbrt (+ (* x y) z))
3.0ms	(cbrt (+ (* x y) z))
3.0ms	(cbrt (+ (* x y) z))

series431.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
101.0ms	(cbrt (+ (* x y) z))
101.0ms	(cbrt (+ (* x y) z))
104.0ms	(cbrt (+ (* x y) z))

simplify135.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (127.0ms)

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

prune267.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes164.0ms

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

sample536.0ms

Algorithm

intervals

Results

269.0ms

11279×

body

valid