Details

Time bar (total: 4.2s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

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:
19.0ms
(/ (- x y) (- 2.0 (+ x y)))

series48.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify123.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0275489
1853468
24118466
35002466

prune98.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
651×*-un-lft-identity
372×cbrt-prod
324×times-frac
318×add-sqr-sqrt
212×distribute-lft-out--
108×add-cube-cbrt
93×swap-sqr difference-of-squares
67×distribute-lft-out
39×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube 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 → 336
Calls
4 calls:
107.0ms
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
10.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
10.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
10.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))

series621.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
157.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
157.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
164.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))

simplify83.0ms

Algorithm
egg-herbie
Counts
348 → 348
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05025127
115915026
250024604

prune631.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.3b
(* (* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (- x y))) (cbrt (/ 1 (- 2.0 (+ x y)))))
0.5b
(cbrt (/ 1 (- 2.0 (+ x y))))
0.5b
(cbrt (- x y))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
107×*-un-lft-identity
89×cbrt-prod
74×add-sqr-sqrt
66×times-frac
38×add-cube-cbrt
29×distribute-lft-out--
27×associate-*r*
24×cbrt-div
18×difference-of-squares
11×distribute-lft-out
9×pow1 add-exp-log frac-times
8×flip3-- flip--
7×associate-*l/
6×pow1/3 associate-/r/
5×associate-*r/ pow-prod-down add-cbrt-cube
4×add-log-exp
3×prod-exp cbrt-unprod div-inv
1×associate-*l* *-commutative
Counts
4 → 147
Calls
4 calls:
10.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
85.0ms
(* (* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (- x y))) (cbrt (/ 1 (- 2.0 (+ x y)))))
8.0ms
(cbrt (/ 1 (- 2.0 (+ x y))))
6.0ms
(cbrt (- x y))

series528.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
121.0ms
(* (* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (- x y))) (cbrt (/ 1 (- 2.0 (+ x y)))))
100.0ms
(cbrt (/ 1 (- 2.0 (+ x y))))
147.0ms
(cbrt (- x y))

simplify72.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
07891856
123331771
250011710

prune447.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y)))))
0.6b
(cbrt (- 2.0 (+ x y)))
0.6b
(cbrt (- 2.0 (+ x y)))
0.6b
(cbrt (- 2.0 (+ x y)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
18×cbrt-prod cbrt-div
15×add-exp-log add-sqr-sqrt
12×pow1
9×add-cube-cbrt flip3-- pow-flip pow1/3 flip--
8×associate-/r/
7×add-cbrt-cube
6×distribute-lft-out--
4×frac-times div-exp add-log-exp
3×times-frac prod-exp distribute-lft-out associate-/l* difference-of-squares
2×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 frac-2neg pow-plus clear-num associate-/r* cbrt-unprod div-inv inv-pow
Counts
4 → 91
Calls
4 calls:
33.0ms
(/ 1 (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y)))))
6.0ms
(cbrt (- 2.0 (+ x y)))
10.0ms
(cbrt (- 2.0 (+ x y)))
6.0ms
(cbrt (- 2.0 (+ x y)))

series405.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(/ 1 (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y)))))
106.0ms
(cbrt (- 2.0 (+ x y)))
100.0ms
(cbrt (- 2.0 (+ x y)))
98.0ms
(cbrt (- 2.0 (+ x y)))

simplify145.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0377845
11110767
24710732
35001732

prune241.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes59.0ms

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
084
184

end0.0ms

sample309.0ms

Algorithm
intervals
Results
179.0ms7999×body80valid
0.0ms1×body1280valid