Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

343×

body

valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	5
1	65	5
2	179	5
3	512	5
4	1357	5
5	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize7.0ms

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))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`prod-diff`
16×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`frac-times` `associate-/l/`
5×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/`
2×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `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 → 85

Calls

2 calls:

10.0ms	(* (- 1.0 x) (- 3.0 x))
13.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series75.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* (- 1.0 x) (- 3.0 x))
51.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify83.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	497	758
1	2837	559
2	5002	559

prune172.0ms

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))

rewrite40.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 144

Calls

3 calls:

6.0ms	(/ (- 3.0 x) 3.0)
6.0ms	(/ (- 1.0 x) y)
21.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series126.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (- 3.0 x) 3.0)
41.0ms	(/ (- 1.0 x) y)
46.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify79.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	571	920
1	2402	835
2	5001	834

prune322.0ms

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))

rewrite29.0ms

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` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 122

Calls

2 calls:

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

series92.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
40.0ms	(/ (* y 3.0) (- 3.0 x))

simplify78.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	643	1124
1	2934	1051
2	5001	1048

prune275.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 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))

rewrite73.0ms

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×	`expm1-log1p-u` `frac-2neg` `clear-num` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 399

Calls

3 calls:

21.0ms	(/ 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))

series394.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ 1 (/ (/ (* y 3.0) (- 3.0 x)) (- 1.0 x)))
295.0ms	(/ (/ (* y 3.0) (- 3.0 x)) (- 1.0 x))
39.0ms	(/ (* y 3.0) (- 3.0 x))

simplify82.0ms

Algorithm

egg-herbie

Counts

408 → 408

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1403	4625
1	5001	4185

prune747.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes73.0ms

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

sample440.0ms

Algorithm

intervals

Results

272.0ms

10643×

body

valid