Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

367×

body

valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 6.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
6.0b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite30.0ms

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:

17.0ms	(* (- 1.0 x) (- 3.0 x))
11.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series69.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(* (- 1.0 x) (- 3.0 x))
46.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (12.0ms)

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

prune140.0ms

Pruning

5 alts after pruning (5 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))

rewrite49.0ms

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:

7.0ms	(/ (- 3.0 x) 3.0)
7.0ms	(/ (- 1.0 x) y)
29.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series115.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (- 3.0 x) 3.0)
31.0ms	(/ (- 1.0 x) y)
45.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (52.0ms)

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

prune285.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 x) y)
0.1b	(/ (- 3.0 x) (cbrt 3.0))
0.2b	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
0.3b	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

173×	`times-frac`
157×	`add-sqr-sqrt`
130×	`*-un-lft-identity`
78×	`add-cube-cbrt`
61×	`add-exp-log`
43×	`add-cbrt-cube`
36×	`cbrt-prod`
34×	`associate-r`
29×	`associate-/l*`
26×	`distribute-lft-out--` `difference-of-squares`
25×	`cbrt-undiv` `div-exp`
23×	`associate-l`
16×	`prod-exp` `cbrt-unprod`
10×	`associate-/r*`
9×	`unswap-sqr`
8×	`div-inv`
6×	`pow1`
5×	`associate-/l/`
4×	`div-sub` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`flip3--` `flip--`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 251

Calls

4 calls:

7.0ms	(/ (- 1.0 x) y)
8.0ms	(/ (- 3.0 x) (cbrt 3.0))
15.0ms	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
52.0ms	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

series364.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (- 1.0 x) y)
76.0ms	(/ (- 3.0 x) (cbrt 3.0))
164.0ms	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
93.0ms	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

simplify118.0ms

Algorithm

egg-herbie

Counts

263 → 263

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	995	2480
1	4844	2204
2	5002	2182

prune672.0ms

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))

rewrite26.0ms

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:

14.0ms	(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
6.0ms	(/ (* y 3.0) (- 3.0 x))

series85.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
41.0ms	(/ (* y 3.0) (- 3.0 x))

simplify74.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (58.0ms)

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

prune252.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample429.0ms

Algorithm

intervals

Results

266.0ms

10641×

body

valid