Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

343×

body

valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	5
1	65	5
2	175	5
3	475	5
4	1183	5
5	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
5.2b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3--` `flip--`
10×	`add-sqr-sqrt`
8×	`frac-times` `*-un-lft-identity` `associate-/l/`
5×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `add-cube-cbrt` `associate-r/` `div-exp` `associate-l/`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

9.0ms	(* (- 1.0 x) (- 3.0 x))
12.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series71.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (- 1.0 x) (- 3.0 x))
45.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	413	460
1	2310	393
2	5001	393

prune129.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 3.0 x) 3.0)
0.0b	(/ (- 1.0 x) y)
0.1b	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
64×	`times-frac`
41×	`add-cube-cbrt`
19×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/l*`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
3×	`add-log-exp`
2×	`flip3--` `frac-2neg` `div-sub` `clear-num` `flip--`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 138

Calls

3 calls:

6.0ms	(/ (- 3.0 x) 3.0)
6.0ms	(/ (- 1.0 x) y)
20.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series118.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (- 3.0 x) 3.0)
36.0ms	(/ (- 1.0 x) y)
45.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	559	898
1	2363	816
2	5001	815

prune270.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
0.2b	(/ (* y 3.0) (- 3.0 x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
68×	`add-sqr-sqrt` `*-un-lft-identity`
28×	`add-cube-cbrt`
20×	`distribute-lft-out--` `difference-of-squares`
16×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
15×	`associate-/r/`
8×	`flip3--` `flip--` `div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/l*`
2×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 118

Calls

2 calls:

11.0ms	(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
6.0ms	(/ (* y 3.0) (- 3.0 x))

series87.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
42.0ms	(/ (* y 3.0) (- 3.0 x))

simplify70.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	629	1107
1	2875	1038
2	5001	1035

prune244.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (/ (/ (* y 3.0) (- 3.0 x)) (- 1.0 x)))
0.1b	(/ (/ (* y 3.0) (- 3.0 x)) (- 1.0 x))
0.2b	(/ (* y 3.0) (- 3.0 x))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

593×	`times-frac`
347×	`add-sqr-sqrt` `*-un-lft-identity`
179×	`add-cube-cbrt`
84×	`distribute-lft-out--` `difference-of-squares`
71×	`associate-/r*`
65×	`associate-/r/`
51×	`add-exp-log`
33×	`div-inv`
32×	`flip3--` `flip--`
31×	`add-cbrt-cube`
30×	`div-exp`
16×	`cbrt-undiv`
15×	`associate-/l*`
5×	`prod-exp`
4×	`pow1` `rec-exp` `1-exp`
3×	`frac-2neg` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 393

Calls

3 calls:

24.0ms	(/ 1 (/ (/ (* y 3.0) (- 3.0 x)) (- 1.0 x)))
12.0ms	(/ (/ (* y 3.0) (- 3.0 x)) (- 1.0 x))
7.0ms	(/ (* y 3.0) (- 3.0 x))

series166.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ 1 (/ (/ (* y 3.0) (- 3.0 x)) (- 1.0 x)))
64.0ms	(/ (/ (* y 3.0) (- 3.0 x)) (- 1.0 x))
46.0ms	(/ (* y 3.0) (- 3.0 x))

simplify78.0ms

Algorithm

egg-herbie

Counts

402 → 402

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1382	4629
1	5001	4181

prune715.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.1b 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	10	5
1	10	5

end0.0ms

sample477.0ms

Algorithm

intervals

Results

306.0ms

10643×

body

valid