Details

Time bar (total: 3.0s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1284
2434
3564
4724
51334
62144
72654
82974
92974

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
14×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 58
Calls
1 calls:
9.0ms
(/ (- x y) (- 2.0 (+ x y)))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify124.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0275489
1853468
24118466
35002466

prune104.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- 2.0 (+ x y)))
0.0b
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
95×*-un-lft-identity
46×times-frac
39×add-sqr-sqrt
33×distribute-lft-out--
15×add-cube-cbrt
10×distribute-lft-out difference-of-squares
6×associate-/r* associate-/r/
4×add-exp-log flip3-- add-cbrt-cube flip-- add-log-exp
3×distribute-rgt-out-- div-inv associate-/l*
2×pow1
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num frac-sub sub-div
Counts
2 → 75
Calls
2 calls:
9.0ms
(/ y (- 2.0 (+ x y)))
35.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series106.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ y (- 2.0 (+ x y)))
61.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify138.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0309642
1905614
24024612
35001612

prune150.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x y)) (cbrt (- x y)))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
10.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))

series560.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
144.0ms
(cbrt (- x y))
146.0ms
(cbrt (- x y))
148.0ms
(cbrt (- x y))

simplify169.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (159.0ms)

IterNodesCost
0261760
1912723
24506670
35001660

prune268.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (- 2.0 (+ x y)))
0.0b
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
0.1b
(pow (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) 3)
6.9b
(cbrt (pow (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) 3))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
351×*-un-lft-identity
158×times-frac
133×distribute-lft-out--
119×add-sqr-sqrt
52×cbrt-prod
46×unpow-prod-down cube-prod
34×distribute-lft-out difference-of-squares
31×add-cube-cbrt
22×associate-/r/
15×distribute-rgt-out--
14×flip3-- flip--
11×div-inv
8×cube-div
7×add-exp-log add-cbrt-cube
6×associate-/r* add-log-exp
5×pow1
4×cbrt-div
3×pow-unpow frac-sub associate-/l* sub-div
2×cube-mult unpow3 sqr-pow
1×cbrt-undiv pow-to-exp sub-neg pow-pow frac-2neg pow1/3 diff-log div-exp pow-exp clear-num rem-cbrt-cube rem-cube-cbrt
Counts
4 → 207
Calls
4 calls:
7.0ms
(/ y (- 2.0 (+ x y)))
39.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
38.0ms
(pow (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) 3)
44.0ms
(cbrt (pow (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) 3))

series273.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ y (- 2.0 (+ x y)))
65.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
96.0ms
(pow (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) 3)
69.0ms
(cbrt (pow (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) 3))

simplify90.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06522340
126022270
250012256

prune347.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097
197

end0.0ms

sample294.0ms

Algorithm
intervals
Results
169.0ms8000×body80valid