Details

Time bar (total: 3.6s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify17.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
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)))

rewrite23.0ms

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:
21.0ms
(/ (- x y) (- 2.0 (+ x y)))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify114.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0275489
1853468
24118466
35002466

prune101.0ms

Filtered
61 candidates to 38 candidates (62.3%)
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)))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))

rewrite30.0ms

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:
20.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))

series559.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
139.0ms
(cbrt (- x y))
148.0ms
(cbrt (- x y))
148.0ms
(cbrt (- x y))

simplify147.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (139.0ms)

IterNodesCost
0261760
1912723
24506670
35001660

prune253.0ms

Filtered
113 candidates to 81 candidates (71.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

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))))
0.2b
(/ (- x y) (sqrt (- 2.0 (+ x y))))

rewrite176.0ms

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 div-exp add-log-exp
3×div-sub associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
Counts
4 → 649
Calls
4 calls:
16.0ms
(sqrt (- 2.0 (+ x y)))
14.0ms
(sqrt (- 2.0 (+ x y)))
63.0ms
(/ (/ (- x y) (sqrt (- 2.0 (+ x y)))) (sqrt (- 2.0 (+ x y))))
21.0ms
(/ (- x y) (sqrt (- 2.0 (+ x y))))

series220.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(sqrt (- 2.0 (+ x y)))
40.0ms
(sqrt (- 2.0 (+ x y)))
45.0ms
(/ (/ (- x y) (sqrt (- 2.0 (+ x y)))) (sqrt (- 2.0 (+ x y))))
100.0ms
(/ (- x y) (sqrt (- 2.0 (+ x y))))

simplify161.0ms

Algorithm
egg-herbie
Counts
661 → 661
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0118111219
1449910046
2500210039

prune729.0ms

Filtered
661 candidates to 204 candidates (30.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.2b
(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
27.8b
(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
54×add-sqr-sqrt
41×times-frac
30×associate-*l*
29×add-cube-cbrt
20×difference-of-squares
12×pow1 add-exp-log add-cbrt-cube
9×associate-*r* distribute-lft-out distribute-lft-out--
8×flip3-+ flip-+
6×frac-times swap-sqr
5×associate-/l*
4×associate-*r/ associate-/r* associate-/r/
3×flip3-- associate-*l/ prod-exp flip-- cbrt-unprod add-log-exp unswap-sqr
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down *-commutative div-inv associate-/l/
1×pow2 frac-2neg pow-plus div-sub clear-num pow-sqr pow-prod-up
Counts
3 → 139
Calls
3 calls:
17.0ms
(* (+ x y) (+ x y))
55.0ms
(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
11.0ms
(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

series174.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* (+ x y) (+ x y))
86.0ms
(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
74.0ms
(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

simplify116.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
08061462
142131347
250011343

prune263.0ms

Filtered
148 candidates to 99 candidates (66.9%)
Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes47.0ms

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

sample294.0ms

Algorithm
intervals
Results
171.0ms8000×body80valid