Details

Time bar (total: 6.4s)

sample16.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

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)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify118.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0275489
1853468
24118466
35002466

prune96.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 2.0 (+ x y)) (- x y))
0.0b
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
292×*-un-lft-identity
258×times-frac
214×add-sqr-sqrt
100×add-cube-cbrt
83×distribute-lft-out--
57×difference-of-squares
41×associate-/r*
26×distribute-lft-out
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×flip3-- flip-- div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 226
Calls
2 calls:
24.0ms
(/ (- 2.0 (+ x y)) (- x y))
23.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

series173.0ms

Counts
2 → 6
Calls
2 calls:
127.0ms
(/ (- 2.0 (+ x y)) (- x y))
46.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

simplify77.0ms

Algorithm
egg-herbie
Counts
232 → 232
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06452314
131022113
250011926

prune231.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 (- x y)) (/ (+ x y) (- x y)))
0.0b
(/ 2.0 (- x y))
0.0b
(/ (+ x y) (- x y))
0.0b
(/ 1 (- (/ 2.0 (- x y)) (/ (+ x y) (- x y))))

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
390×*-un-lft-identity
270×times-frac
193×add-sqr-sqrt
124×distribute-lft-out--
75×add-cube-cbrt
49×difference-of-squares
41×distribute-lft-out
35×associate-/r*
28×associate-/r/
15×distribute-rgt-out--
14×flip3-- flip--
13×div-inv
12×add-exp-log
10×add-cbrt-cube associate-/l*
6×add-log-exp
5×pow1
4×div-exp
3×cbrt-undiv frac-2neg clear-num
2×frac-sub associate-/l/ sub-div
1×sub-neg rec-exp pow-flip flip3-+ diff-log 1-exp flip-+ inv-pow
Counts
4 → 241
Calls
4 calls:
56.0ms
(- (/ 2.0 (- x y)) (/ (+ x y) (- x y)))
8.0ms
(/ 2.0 (- x y))
11.0ms
(/ (+ x y) (- x y))
158.0ms
(/ 1 (- (/ 2.0 (- x y)) (/ (+ x y) (- x y))))

series364.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(- (/ 2.0 (- x y)) (/ (+ x y) (- x y)))
39.0ms
(/ 2.0 (- x y))
62.0ms
(/ (+ x y) (- x y))
124.0ms
(/ 1 (- (/ 2.0 (- x y)) (/ (+ x y) (- x y))))

simplify81.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05692196
122622077
250031960

prune335.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ 2.0 (- x y)) 3)
0.2b
(* (/ 2.0 (- x y)) (/ 2.0 (- x y)))
0.3b
(/ 1 (- (pow (/ 2.0 (- x y)) 3) (pow (/ (+ x y) (- x y)) 3)))
4.3b
(* (/ 1 (- (pow (/ 2.0 (- x y)) 3) (pow (/ (+ x y) (- x y)) 3))) (+ (* (/ 2.0 (- x y)) (/ 2.0 (- x y))) (+ (* (/ (+ x y) (- x y)) (/ (+ x y) (- x y))) (* (/ 2.0 (- x y)) (/ (+ x y) (- x y))))))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
2076×*-un-lft-identity
1738×times-frac
1278×add-sqr-sqrt
693×unpow-prod-down cube-prod
675×distribute-lft-out--
411×add-cube-cbrt
382×difference-of-squares
368×associate-*l*
196×distribute-lft-out
132×associate-/r/
120×frac-add
113×associate-/r*
94×frac-times associate-*r/
85×sqr-pow
84×distribute-rgt-out--
64×flip3-- flip-- div-inv
60×associate-*l/
32×add-exp-log
27×swap-sqr
26×add-cbrt-cube
24×associate-*r*
15×pow1
9×cube-div div-exp
8×flip3-+ prod-exp flip-+
7×difference-cubes cbrt-undiv unswap-sqr
6×cbrt-unprod
4×add-log-exp
3×pow-unpow associate-/l*
2×rec-exp 1-exp pow-prod-down pow-exp *-commutative frac-sub sub-div rem-cube-cbrt
1×pow2 distribute-rgt-in cube-mult pow-to-exp pow-flip pow-pow frac-2neg distribute-lft-in pow-plus unpow3 clear-num pow-sqr pow-prod-up inv-pow
Counts
4 → 1075
Calls
4 calls:
8.0ms
(pow (/ 2.0 (- x y)) 3)
33.0ms
(* (/ 2.0 (- x y)) (/ 2.0 (- x y)))
322.0ms
(/ 1 (- (pow (/ 2.0 (- x y)) 3) (pow (/ (+ x y) (- x y)) 3)))
889.0ms
(* (/ 1 (- (pow (/ 2.0 (- x y)) 3) (pow (/ (+ x y) (- x y)) 3))) (+ (* (/ 2.0 (- x y)) (/ 2.0 (- x y))) (+ (* (/ (+ x y) (- x y)) (/ (+ x y) (- x y))) (* (/ 2.0 (- x y)) (/ (+ x y) (- x y))))))

series894.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(pow (/ 2.0 (- x y)) 3)
55.0ms
(* (/ 2.0 (- x y)) (/ 2.0 (- x y)))
351.0ms
(/ 1 (- (pow (/ 2.0 (- x y)) 3) (pow (/ (+ x y) (- x y)) 3)))
409.0ms
(* (/ 1 (- (pow (/ 2.0 (- x y)) 3) (pow (/ (+ x y) (- x y)) 3))) (+ (* (/ 2.0 (- x y)) (/ 2.0 (- x y))) (+ (* (/ (+ x y) (- x y)) (/ (+ x y) (- x y))) (* (/ 2.0 (- x y)) (/ (+ x y) (- x y))))))

simplify281.0ms

Algorithm
egg-herbie
Counts
1087 → 1087
Iterations

Useful iterations: 1 (63.0ms)

IterNodesCost
0319822253
1500320665

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

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

sample424.0ms

Algorithm
intervals
Results
297.0ms7995×body80valid
0.0ms4×body1280valid
0.0ms1×body640valid