Details

Time bar (total: 2.6s)

sample18.0ms

Algorithm
intervals
Results
8.0ms339×body80valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1655
21795
35125
413575
550015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
3.5b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite42.0ms

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:
22.0ms
(* (- 1.0 x) (- 3.0 x))
16.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series67.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(* (- 1.0 x) (- 3.0 x))
44.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify80.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0497758
12837559
25002559

prune152.0ms

Pruning

7 alts after pruning (6 fresh and 1 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))

rewrite54.0ms

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))

series117.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (- 3.0 x) 3.0)
32.0ms
(/ (- 1.0 x) y)
46.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0571920
12402835
25001834

prune290.0ms

Pruning

6 alts after pruning (5 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))

rewrite28.0ms

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))

series84.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
41.0ms
(/ (* y 3.0) (- 3.0 x))

simplify71.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06431124
129341051
250011048

prune242.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
38×cbrt-prod *-un-lft-identity
16×add-cube-cbrt cbrt-div
11×pow1 add-exp-log
10×swap-sqr distribute-lft-out--
9×flip3-- add-cbrt-cube flip--
8×pow1/3 associate-*r* associate-*l* difference-of-squares
5×times-frac associate-/r*
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp unswap-sqr
2×cbrt-undiv associate-*r/ div-exp pow-prod-down associate-*l/ prod-exp associate-/r/ pow-sqr pow-prod-up cbrt-unprod
1×pow2 frac-2neg pow-plus clear-num *-commutative div-inv associate-/l*
Counts
4 → 121
Calls
4 calls:
2.0ms
(cbrt (- 1.0 x))
2.0ms
(cbrt (- 1.0 x))
24.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
7.0ms
(/ (* y 3.0) (- 3.0 x))

series331.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(cbrt (- 1.0 x))
91.0ms
(cbrt (- 1.0 x))
111.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
37.0ms
(/ (* y 3.0) (- 3.0 x))

simplify59.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0522911
11956854
25001808

prune332.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes71.0ms

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)

IterNodesCost
0105
1105

end0.0ms

sample427.0ms

Algorithm
intervals
Results
265.0ms10619×body80valid