Details

Time bar (total: 4.7s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify25.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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 expm1-log1p-u frac-2neg div-sub div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 60
Calls
1 calls:
11.0ms
(/ (- x y) (- 2.0 (+ x y)))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify136.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0283498
1886475
24321474
35001474

prune118.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
1352×*-un-lft-identity
946×times-frac
843×add-sqr-sqrt
576×prod-diff
517×add-cube-cbrt
335×distribute-lft-out--
161×distribute-lft-out difference-of-squares
106×associate-/r/
54×flip3-- flip--
53×div-inv
24×fma-neg
12×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 722
Calls
3 calls:
7.0ms
(/ x (- 2.0 (+ x y)))
8.0ms
(/ y (- 2.0 (+ x y)))
55.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series178.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ x (- 2.0 (+ x y)))
49.0ms
(/ y (- 2.0 (+ x y)))
76.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify258.0ms

Algorithm
egg-herbie
Counts
731 → 731
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
0130423967
1366517833
2500117718

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ x (- 2.0 (+ x y)))) (cbrt (/ x (- 2.0 (+ x y)))))
7.6b
(cbrt (/ x (- 2.0 (+ x y))))
7.6b
(cbrt (/ x (- 2.0 (+ x y))))
7.6b
(cbrt (/ x (- 2.0 (+ x y))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
267×*-un-lft-identity
216×cbrt-prod
168×times-frac
156×add-sqr-sqrt
90×add-cube-cbrt
66×distribute-lft-out--
45×swap-sqr
33×distribute-lft-out
27×associate-*r* associate-*l*
21×difference-of-squares
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 236
Calls
4 calls:
34.0ms
(* (cbrt (/ x (- 2.0 (+ x y)))) (cbrt (/ x (- 2.0 (+ x y)))))
7.0ms
(cbrt (/ x (- 2.0 (+ x y))))
7.0ms
(cbrt (/ x (- 2.0 (+ x y))))
7.0ms
(cbrt (/ x (- 2.0 (+ x y))))

series566.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(* (cbrt (/ x (- 2.0 (+ x y)))) (cbrt (/ x (- 2.0 (+ x y)))))
136.0ms
(cbrt (/ x (- 2.0 (+ x y))))
137.0ms
(cbrt (/ x (- 2.0 (+ x y))))
143.0ms
(cbrt (/ x (- 2.0 (+ x y))))

simplify76.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04702941
115682856
250012673

prune740.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- 2.0 (+ x y)))
0.6b
(cbrt (- 2.0 (+ x y)))
0.6b
(cbrt (- 2.0 (+ x y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
23×cbrt-prod
16×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
7×distribute-lft-out--
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u add-log-exp difference-of-squares
3×distribute-lft-out
Counts
4 → 71
Calls
4 calls:
3.0ms
(cbrt (- x y))
5.0ms
(cbrt (- 2.0 (+ x y)))
5.0ms
(cbrt (- 2.0 (+ x y)))
5.0ms
(cbrt (- 2.0 (+ x y)))

series522.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt (- x y))
114.0ms
(cbrt (- 2.0 (+ x y)))
115.0ms
(cbrt (- 2.0 (+ x y)))
116.0ms
(cbrt (- 2.0 (+ x y)))

simplify80.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0321590
1761564
22648555
35001542

prune326.0ms

Pruning

3 alts after pruning (0 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

sample308.0ms

Algorithm
intervals
Results
178.0ms7998×body80valid
0.0ms2×body1280valid