Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

335×

body

valid

simplify30.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

6.0ms	(+ (* (- 1.0 x) y) (* x z))
7.0ms	(* (- 1.0 x) y)

series63.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* (- 1.0 x) y) (* x z))
29.0ms	(* (- 1.0 x) y)

simplify108.0ms

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

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))

rewrite39.0ms

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:

18.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
6.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

series712.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
169.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
165.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
173.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

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

prune259.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 x))
0.0b	(sqrt (- 1.0 x))
0.1b	(* (sqrt (- 1.0 x)) y)
0.1b	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
19×	`*-un-lft-identity`
18×	`sqrt-div`
16×	`associate-l`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

3.0ms	(sqrt (- 1.0 x))
3.0ms	(sqrt (- 1.0 x))
7.0ms	(* (sqrt (- 1.0 x)) y)
16.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

series181.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sqrt (- 1.0 x))
29.0ms	(sqrt (- 1.0 x))
88.0ms	(* (sqrt (- 1.0 x)) y)
29.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

simplify110.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	329	600
1	1113	526
2	4769	512
3	5001	512

prune240.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (* (- 1.0 x) y) 3)) (* x z))
0.0b	(* (- 1.0 x) y)
0.1b	(pow (* (- 1.0 x) y) 3)
38.6b	(cbrt (pow (* (- 1.0 x) y) 3))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*l/` `add-log-exp`
5×	`associate-l`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-r` `flip--`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

6.0ms	(+ (cbrt (pow (* (- 1.0 x) y) 3)) (* x z))
6.0ms	(* (- 1.0 x) y)
9.0ms	(pow (* (- 1.0 x) y) 3)
3.0ms	(cbrt (pow (* (- 1.0 x) y) 3))

series164.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (cbrt (pow (* (- 1.0 x) y) 3)) (* x z))
29.0ms	(* (- 1.0 x) y)
36.0ms	(pow (* (- 1.0 x) y) 3)
45.0ms	(cbrt (pow (* (- 1.0 x) y) 3))

simplify51.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	335	440
1	1588	390
2	5002	389

prune181.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes73.0ms

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

sample429.0ms

Algorithm

intervals

Results

226.0ms

10102×

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