Details

Time bar (total: 6.2s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0174
1284
2434
3564
4724
51334
62144
72654
82974
92974

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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:
24.0ms
(/ (- x y) (- 2.0 (+ x y)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify149.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0283498
1886475
24321474
35001474

prune126.0ms

Filtered
63 candidates to 40 candidates (63.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 2.0 (+ x y)))
0.0b
(sqrt (- 2.0 (+ x y)))
0.1b
(/ (/ (- x y) (sqrt (- 2.0 (+ x y)))) (sqrt (- 2.0 (+ x y))))
0.3b
(/ (- x y) (sqrt (- 2.0 (+ x y))))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
1082×*-un-lft-identity
954×times-frac
754×add-sqr-sqrt
660×sqrt-prod
332×add-cube-cbrt
320×distribute-lft-out--
210×difference-of-squares
110×distribute-lft-out
56×associate-/l*
28×sqrt-div
24×associate-/r/
18×associate-/r*
15×flip3-- flip--
12×div-inv
11×add-exp-log add-cbrt-cube
6×pow1
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×div-sub associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
Counts
4 → 657
Calls
4 calls:
19.0ms
(sqrt (- 2.0 (+ x y)))
19.0ms
(sqrt (- 2.0 (+ x y)))
69.0ms
(/ (/ (- x y) (sqrt (- 2.0 (+ x y)))) (sqrt (- 2.0 (+ x y))))
24.0ms
(/ (- x y) (sqrt (- 2.0 (+ x y))))

series287.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(sqrt (- 2.0 (+ x y)))
49.0ms
(sqrt (- 2.0 (+ x y)))
61.0ms
(/ (/ (- x y) (sqrt (- 2.0 (+ x y)))) (sqrt (- 2.0 (+ x y))))
134.0ms
(/ (- x y) (sqrt (- 2.0 (+ x y))))

simplify180.0ms

Algorithm
egg-herbie
Counts
669 → 669
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
0119911266
1456410091
2500110074

prune844.0ms

Filtered
669 candidates to 213 candidates (31.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))
0.1b
(pow (/ (- x y) (- 2.0 (+ x y))) 3)
5.0b
(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
258×*-un-lft-identity
180×add-sqr-sqrt
150×times-frac
83×distribute-lft-out--
78×cbrt-prod
72×unpow-prod-down cube-prod
66×add-cube-cbrt
57×difference-of-squares
26×distribute-lft-out
10×associate-/r/
8×add-exp-log add-cbrt-cube
6×flip3-- associate-/r* flip--
5×div-inv associate-/l*
4×pow1
3×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 div-sub clear-num rem-cbrt-cube
Counts
3 → 244
Calls
3 calls:
23.0ms
(/ (- x y) (- 2.0 (+ x y)))
28.0ms
(pow (/ (- x y) (- 2.0 (+ x y))) 3)
27.0ms
(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

series204.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (- x y) (- 2.0 (+ x y)))
95.0ms
(pow (/ (- x y) (- 2.0 (+ x y))) 3)
58.0ms
(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

simplify112.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
07372366
131602234
250022206

prune400.0ms

Filtered
253 candidates to 105 candidates (41.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (cbrt (pow (/ (- x y) (sqrt (- 2.0 (+ x y)))) 3)) (sqrt (- 2.0 (+ x y))))
0.2b
(pow (/ (- x y) (sqrt (- 2.0 (+ x y)))) 3)
0.3b
(/ (- x y) (sqrt (- 2.0 (+ x y))))
16.9b
(cbrt (pow (/ (- x y) (sqrt (- 2.0 (+ x y)))) 3))

rewrite710.0ms

Algorithm
rewrite-expression-head
Rules
2394×*-un-lft-identity
2124×times-frac
1680×add-sqr-sqrt
1428×sqrt-prod
1188×cbrt-prod
752×add-cube-cbrt
702×distribute-lft-out--
612×unpow-prod-down cube-prod
464×difference-of-squares
238×distribute-lft-out
116×associate-/l*
52×sqrt-div associate-/r/
27×flip3-- flip--
26×div-inv
18×associate-/r*
12×cube-mult unpow3 sqr-pow
11×add-exp-log
10×add-cbrt-cube
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv cube-div pow-unpow div-exp associate-/l/
2×cbrt-div frac-2neg pow-exp clear-num rem-cube-cbrt
1×pow-to-exp pow-pow pow1/3 div-sub rem-cbrt-cube
Counts
4 → 1458
Calls
4 calls:
147.0ms
(/ (cbrt (pow (/ (- x y) (sqrt (- 2.0 (+ x y)))) 3)) (sqrt (- 2.0 (+ x y))))
32.0ms
(pow (/ (- x y) (sqrt (- 2.0 (+ x y)))) 3)
24.0ms
(/ (- x y) (sqrt (- 2.0 (+ x y))))
31.0ms
(cbrt (pow (/ (- x y) (sqrt (- 2.0 (+ x y)))) 3))

series486.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ (cbrt (pow (/ (- x y) (sqrt (- 2.0 (+ x y)))) 3)) (sqrt (- 2.0 (+ x y))))
221.0ms
(pow (/ (- x y) (sqrt (- 2.0 (+ x y)))) 3)
104.0ms
(/ (- x y) (sqrt (- 2.0 (+ x y))))
112.0ms
(cbrt (pow (/ (- x y) (sqrt (- 2.0 (+ x y)))) 3))

simplify300.0ms

Algorithm
egg-herbie
Counts
1470 → 1470
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
0143930823
1500127576

prune1.5s

Filtered
1470 candidates to 314 candidates (21.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample325.0ms

Algorithm
intervals
Results
184.0ms7999×body80valid
0.0ms1×body1280valid