Details

sample23.0ms

Algorithm

intervals

Results

14.0ms

306×

body

valid

simplify31.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

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:

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

series65.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (- 1.0 x) y)
37.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify103.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (26.0ms)

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

prune81.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (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)))

rewrite53.0ms

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)))

series737.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
170.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
171.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
172.0ms	(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

prune264.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `associate-l`
14×	`sqrt-div`
12×	`*-un-lft-identity`
11×	`sqrt-prod`
10×	`pow1` `add-exp-log` `associate-*l/` `add-cbrt-cube`
8×	`add-cube-cbrt`
7×	`flip3--` `flip--`
5×	`add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-r/` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 68

Calls

3 calls:

18.0ms	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
11.0ms	(* (sqrt (- 1.0 x)) y)
26.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

series149.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
86.0ms	(* (sqrt (- 1.0 x)) y)
29.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

simplify43.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	359	552
1	1275	471
2	5001	461

prune153.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (- 1.0 x) (sqrt y)) (sqrt y)) (* x z))
0.0b	(* (- 1.0 x) (sqrt y))
0.2b	(* (* (- 1.0 x) (sqrt y)) (sqrt y))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

17.0ms	(+ (* (* (- 1.0 x) (sqrt y)) (sqrt y)) (* x z))
13.0ms	(* (- 1.0 x) (sqrt y))
18.0ms	(* (* (- 1.0 x) (sqrt y)) (sqrt y))

series120.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (* (* (- 1.0 x) (sqrt y)) (sqrt y)) (* x z))
43.0ms	(* (- 1.0 x) (sqrt y))
29.0ms	(* (* (- 1.0 x) (sqrt y)) (sqrt y))

simplify42.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	317	432
1	1306	366
2	5001	355

prune121.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes82.0ms

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

sample674.0ms

Algorithm

intervals

Results

467.0ms

10176×

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