Details

Time bar (total: 4.7s)

sample15.0ms

Algorithm
intervals
Results
7.0ms303×body80valid

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1193
2433
3553
4593
5673
6873
71233
81983
93813
104543
116293
128893
1312603
1416843
1523543
1650023

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (+ x 1.0) y) x)
0.0b
(* (+ x 1.0) y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×sub-neg flip3-- flip3-+ diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 33
Calls
2 calls:
5.0ms
(- (* (+ x 1.0) y) x)
6.0ms
(* (+ x 1.0) y)

series46.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(- (* (+ x 1.0) y) x)
27.0ms
(* (+ x 1.0) y)

simplify65.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0149159
1616147
23110145
35001145

prune88.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (- (* 1.0 1.0) (* x 1.0)))
0.0b
(- (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) x)
1.7b
(* (+ (pow x 3) (pow 1.0 3)) y)
16.4b
(/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×add-sqr-sqrt
11×add-exp-log add-cbrt-cube add-log-exp
9×associate-*l*
8×add-cube-cbrt
6×pow1
5×distribute-lft-out
4×unpow-prod-down flip3-+ cube-prod associate-*l/ flip-+
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv sub-neg associate-+r+ diff-log div-exp prod-exp sum-log associate-/r/ cbrt-unprod associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg pow-prod-down clear-num sum-cubes *-commutative flip-- div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 80
Calls
4 calls:
6.0ms
(+ (* x x) (- (* 1.0 1.0) (* x 1.0)))
23.0ms
(- (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) x)
14.0ms
(* (+ (pow x 3) (pow 1.0 3)) y)
19.0ms
(/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))

series210.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (* x x) (- (* 1.0 1.0) (* x 1.0)))
66.0ms
(- (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) x)
39.0ms
(* (+ (pow x 3) (pow 1.0 3)) y)
84.0ms
(/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))

simplify58.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0390891
11862783
25003777

prune257.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ y (+ (* (* (- 1.0) (- 1.0 x)) (* 1.0 (- 1.0 x))) (pow x 4)))
10.0b
(+ (* (* (- 1.0) (- 1.0 x)) (* 1.0 (- 1.0 x))) (pow x 4))
13.9b
(* (* (/ y (+ (* (* (- 1.0) (- 1.0 x)) (* 1.0 (- 1.0 x))) (pow x 4))) (+ (pow x 3) (pow 1.0 3))) (- (* x x) (- (* 1.0 1.0) (* x 1.0))))
19.6b
(* (/ y (+ (* (* (- 1.0) (- 1.0 x)) (* 1.0 (- 1.0 x))) (pow x 4))) (+ (pow x 3) (pow 1.0 3)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
27×add-sqr-sqrt
21×add-cube-cbrt
20×add-exp-log add-cbrt-cube
19×times-frac
18×frac-times
16×associate-*l*
13×associate-*r*
12×distribute-rgt-in distribute-lft-in
11×pow1 flip3-+ flip-+
10×associate-*r/
9×associate-*l/
8×associate-+l+
7×prod-exp cbrt-unprod
6×sub-neg flip3-- flip-- add-log-exp
5×distribute-lft-out
4×unpow-prod-down cube-prod pow-prod-down associate-/r/
3×cbrt-undiv div-exp associate-/r* associate-/l*
2×*-commutative div-inv associate--r- unswap-sqr
1×+-commutative frac-2neg clear-num sum-log sum-cubes difference-of-squares
Counts
4 → 138
Calls
4 calls:
15.0ms
(/ y (+ (* (* (- 1.0) (- 1.0 x)) (* 1.0 (- 1.0 x))) (pow x 4)))
16.0ms
(+ (* (* (- 1.0) (- 1.0 x)) (* 1.0 (- 1.0 x))) (pow x 4))
38.0ms
(* (* (/ y (+ (* (* (- 1.0) (- 1.0 x)) (* 1.0 (- 1.0 x))) (pow x 4))) (+ (pow x 3) (pow 1.0 3))) (- (* x x) (- (* 1.0 1.0) (* x 1.0))))
30.0ms
(* (/ y (+ (* (* (- 1.0) (- 1.0 x)) (* 1.0 (- 1.0 x))) (pow x 4))) (+ (pow x 3) (pow 1.0 3)))

series653.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(/ y (+ (* (* (- 1.0) (- 1.0 x)) (* 1.0 (- 1.0 x))) (pow x 4)))
36.0ms
(+ (* (* (- 1.0) (- 1.0 x)) (* 1.0 (- 1.0 x))) (pow x 4))
303.0ms
(* (* (/ y (+ (* (* (- 1.0) (- 1.0 x)) (* 1.0 (- 1.0 x))) (pow x 4))) (+ (pow x 3) (pow 1.0 3))) (- (* x x) (- (* 1.0 1.0) (* x 1.0))))
177.0ms
(* (/ y (+ (* (* (- 1.0) (- 1.0 x)) (* 1.0 (- 1.0 x))) (pow x 4))) (+ (pow x 3) (pow 1.0 3)))

simplify50.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
09272776
150012450

prune596.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (/ (* y (+ (pow x 6) (- (pow 1.0 6)))) (- (pow x 3) (pow 1.0 3))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) x)
1.4b
(* y (+ (pow x 6) (- (pow 1.0 6))))
16.4b
(/ (/ (* y (+ (pow x 6) (- (pow 1.0 6)))) (- (pow x 3) (pow 1.0 3))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))
18.2b
(/ (* y (+ (pow x 6) (- (pow 1.0 6)))) (- (pow x 3) (pow 1.0 3)))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
219×times-frac
199×add-sqr-sqrt
116×*-un-lft-identity
98×difference-of-squares
74×unpow-prod-down
72×cube-prod
48×add-cube-cbrt sqr-pow
32×associate-/l*
31×distribute-lft-out--
28×associate-/r*
20×add-exp-log add-cbrt-cube
12×associate-/r/
7×cbrt-undiv div-exp
6×pow1 difference-cubes flip3-- associate-*r* flip-- div-inv add-log-exp
4×associate-*r/
3×flip3-+ associate-*l* prod-exp cbrt-unprod flip-+ associate-/l/ distribute-lft-out
2×distribute-rgt-neg-in frac-2neg clear-num
1×distribute-rgt-in sub-neg distribute-lft-in diff-log pow-prod-down *-commutative unswap-sqr
Counts
4 → 255
Calls
4 calls:
62.0ms
(- (/ (/ (* y (+ (pow x 6) (- (pow 1.0 6)))) (- (pow x 3) (pow 1.0 3))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) x)
13.0ms
(* y (+ (pow x 6) (- (pow 1.0 6))))
39.0ms
(/ (/ (* y (+ (pow x 6) (- (pow 1.0 6)))) (- (pow x 3) (pow 1.0 3))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))
27.0ms
(/ (* y (+ (pow x 6) (- (pow 1.0 6)))) (- (pow x 3) (pow 1.0 3)))

series842.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(- (/ (/ (* y (+ (pow x 6) (- (pow 1.0 6)))) (- (pow x 3) (pow 1.0 3))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) x)
207.0ms
(* y (+ (pow x 6) (- (pow 1.0 6))))
262.0ms
(/ (/ (* y (+ (pow x 6) (- (pow 1.0 6)))) (- (pow x 3) (pow 1.0 3))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))
199.0ms
(/ (* y (+ (pow x 6) (- (pow 1.0 6)))) (- (pow x 3) (pow 1.0 3)))

simplify77.0ms

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
010214903
150024412

prune832.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes64.0ms

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
083
183

end0.0ms

sample310.0ms

Algorithm
intervals
Results
168.0ms9142×body80valid
0.0ms1×body1280valid