Details

Time bar (total: 3.5s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify26.0ms

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)))

rewrite26.0ms

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:
23.0ms
(/ (- x y) (- 2.0 (+ x y)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify131.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0283498
1886475
24321474
35001474

prune112.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
0.0b
(/ (- x y) (- 2.0 (+ x y)))
0.3b
(expm1 (/ (- x y) (- 2.0 (+ x y))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
42×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
16×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×add-exp-log add-cbrt-cube associate-/l*
4×log1p-expm1-u
3×pow1 expm1-log1p-u add-log-exp
2×flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p frac-2neg div-sub log1p-expm1 div-exp clear-num div-inv expm1-udef
Counts
3 → 82
Calls
3 calls:
0.0ms
(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
23.0ms
(/ (- x y) (- 2.0 (+ x y)))
0.0ms
(expm1 (/ (- x y) (- 2.0 (+ x y))))

series258.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
48.0ms
(/ (- x y) (- 2.0 (+ x y)))
108.0ms
(expm1 (/ (- x y) (- 2.0 (+ x y))))

simplify137.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0338687
11017638
24745631
35001631

prune207.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

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))

rewrite33.0ms

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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 109
Calls
4 calls:
22.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))

series583.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
143.0ms
(cbrt (- x y))
155.0ms
(cbrt (- x y))
158.0ms
(cbrt (- x y))

simplify157.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (147.0ms)

IterNodesCost
0270790
1950753
24639700
35001694

prune377.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

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)))

rewrite63.0ms

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×expm1-log1p-u frac-times div-exp log1p-expm1-u 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 → 99
Calls
4 calls:
38.0ms
(/ 1 (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y)))))
7.0ms
(cbrt (- 2.0 (+ x y)))
7.0ms
(cbrt (- 2.0 (+ x y)))
7.0ms
(cbrt (- 2.0 (+ x y)))

series414.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(/ 1 (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y)))))
100.0ms
(cbrt (- 2.0 (+ x y)))
104.0ms
(cbrt (- 2.0 (+ x y)))
106.0ms
(cbrt (- 2.0 (+ x y)))

simplify158.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0390887
11171805
24948768
35001768

prune281.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes61.0ms

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
0106
1106

end0.0ms

sample312.0ms

Algorithm
intervals
Results
184.0ms7999×body80valid
0.0ms1×body1280valid