Details

sample26.0ms

Algorithm

intervals

Results

16.0ms

333×

body

valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- 1.0 x) y) (* x z))
0.0b	(* (- 1.0 x) y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

5.0ms	(+ (* (- 1.0 x) y) (* x z))
10.0ms	(* (- 1.0 x) y)

series67.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* (- 1.0 x) y) (* x z))
30.0ms	(* (- 1.0 x) y)

simplify106.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	184	181
1	787	167
2	4082	166
3	5001	166

prune77.0ms

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 (* (- 1.0 x) y)) (cbrt (* (- 1.0 x) y)))
0.6b	(cbrt (* (- 1.0 x) y))
0.6b	(cbrt (* (- 1.0 x) y))
0.6b	(cbrt (* (- 1.0 x) y))

rewrite25.0ms

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:

11.0ms	(* (cbrt (* (- 1.0 x) y)) (cbrt (* (- 1.0 x) y)))
5.0ms	(cbrt (* (- 1.0 x) y))
3.0ms	(cbrt (* (- 1.0 x) y))
4.0ms	(cbrt (* (- 1.0 x) y))

series384.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (cbrt (* (- 1.0 x) y)) (cbrt (* (- 1.0 x) y)))
90.0ms	(cbrt (* (- 1.0 x) y))
90.0ms	(cbrt (* (- 1.0 x) y))
90.0ms	(cbrt (* (- 1.0 x) y))

simplify40.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	366	875
1	1167	822
2	5002	760

prune247.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
0.6b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.6b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.6b	(cbrt (+ (* (- 1.0 x) y) (* x z)))

rewrite52.0ms

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:

37.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
4.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
4.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
4.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

series721.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
174.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
174.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
171.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	379	1485
1	1222	1402
2	5001	1300

prune262.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.6b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.6b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.9b	(pow (cbrt (cbrt (+ (* (- 1.0 x) y) (* x z)))) 4)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

4.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
4.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
4.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
9.0ms	(pow (cbrt (cbrt (+ (* (- 1.0 x) y) (* x z)))) 4)

series801.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
171.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
170.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
280.0ms	(pow (cbrt (cbrt (+ (* (- 1.0 x) y) (* x z)))) 4)

simplify130.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	370	1019
1	1108	970
2	4427	935
3	5001	935

prune257.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample686.0ms

Algorithm

intervals

Results

482.0ms

10214×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4