Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

366×

body

valid

simplify51.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
5.9b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite45.0ms

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:

21.0ms	(* (- 1.0 x) (- 3.0 x))
16.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series70.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* (- 1.0 x) (- 3.0 x))
46.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify82.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (16.0ms)

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

prune174.0ms

Filtered

91 candidates to 53 candidates (58.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite56.0ms

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:

9.0ms	(/ (- 3.0 x) 3.0)
9.0ms	(/ (- 1.0 x) y)
31.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series125.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (- 3.0 x) 3.0)
34.0ms	(/ (- 1.0 x) y)
50.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify72.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (60.0ms)

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

prune334.0ms

Filtered

153 candidates to 110 candidates (71.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

237×	`times-frac`
178×	`add-sqr-sqrt`
169×	`*-un-lft-identity`
117×	`add-cube-cbrt`
61×	`associate-r`
26×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1` `associate-l`
3×	`expm1-log1p-u` `flip3--` `div-sub` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp` `unswap-sqr`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

3 → 228

Calls

3 calls:

13.0ms	(/ (- 3.0 x) 3.0)
43.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
13.0ms	(/ (/ (- 3.0 x) 3.0) y)

series131.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (- 3.0 x) 3.0)
52.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
40.0ms	(/ (/ (- 3.0 x) 3.0) y)

simplify125.0ms

Algorithm

egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	807	1746
1	4031	1652
2	5001	1649

prune548.0ms

Filtered

237 candidates to 176 candidates (74.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- 1.0 x) (fma (- 0.3333333333333333) (/ x y) (/ 1.0 y)))
0.1b	(fma (- 0.3333333333333333) (/ x y) (/ 1.0 y))

rewrite12.0ms

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`
3×	`associate-r` `fma-udef`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

11.0ms	(* (- 1.0 x) (fma (- 0.3333333333333333) (/ x y) (/ 1.0 y)))
0.0ms	(fma (- 0.3333333333333333) (/ x y) (/ 1.0 y))

series111.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* (- 1.0 x) (fma (- 0.3333333333333333) (/ x y) (/ 1.0 y)))
59.0ms	(fma (- 0.3333333333333333) (/ x y) (/ 1.0 y))

simplify104.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	160	325
1	657	284
2	4522	284
3	5001	284

prune97.0ms

Filtered

42 candidates to 30 candidates (71.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes74.0ms

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

sample446.0ms

Algorithm

intervals

Results

268.0ms

10602×

body

valid