Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

330×

body

valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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))

series63.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- 1.0 x) y)
32.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify96.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (23.0ms)

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

prune78.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
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 → 101

Calls

4 calls:

19.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
2.0ms	(cbrt (- 1.0 x))
2.0ms	(cbrt (- 1.0 x))
2.0ms	(cbrt (- 1.0 x))

series374.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
90.0ms	(cbrt (- 1.0 x))
87.0ms	(cbrt (- 1.0 x))
90.0ms	(cbrt (- 1.0 x))

simplify139.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (130.0ms)

Iter	Nodes	Cost
0	316	847
1	1003	807
2	4432	753
3	5001	749

prune329.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

2.0ms	(cbrt (- 1.0 x))
2.0ms	(cbrt (- 1.0 x))
2.0ms	(cbrt (- 1.0 x))
2.0ms	(cbrt (- 1.0 x))

series364.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt (- 1.0 x))
92.0ms	(cbrt (- 1.0 x))
99.0ms	(cbrt (- 1.0 x))
85.0ms	(cbrt (- 1.0 x))

simplify50.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	183	516
1	460	492
2	1484	480
3	5001	452

prune326.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 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))

rewrite50.0ms

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:

4.0ms	(sqrt (- 1.0 x))
7.0ms	(sqrt (- 1.0 x))
11.0ms	(* (sqrt (- 1.0 x)) y)
24.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

series177.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt (- 1.0 x))
30.0ms	(sqrt (- 1.0 x))
85.0ms	(* (sqrt (- 1.0 x)) y)
30.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

simplify108.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (28.0ms)

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

prune239.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample639.0ms

Algorithm

intervals

Results

425.0ms

10092×

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