Details

Time bar (total: 2.2s)

sample15.0ms

Algorithm
intervals
Results
6.0ms341×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1323
2703
3903
4973
5973

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) (- 1.0 y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
12.0ms
(* (* x y) (- 1.0 y))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(* (* x y) (- 1.0 y))

simplify29.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0167140
1840114
25002114

prune41.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

rewrite32.0ms

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:
2.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
2.0ms
(cbrt (- 1.0 y))
20.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series369.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(cbrt (- 1.0 y))
89.0ms
(cbrt (- 1.0 y))
87.0ms
(cbrt (- 1.0 y))
104.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify139.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (129.0ms)

IterNodesCost
0316847
11010807
24442753
35001749

prune290.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
5.9b
(* x (* y (- 1.0 y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×sub-neg associate-*r/ associate-*r* associate-*l*
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
9.0ms
(* y (- 1.0 y))
12.0ms
(* x (* y (- 1.0 y)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* y (- 1.0 y))
46.0ms
(* x (* y (- 1.0 y)))

simplify31.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0198252
1861214
25002214

prune82.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- (* 1.0 1.0) (* y y)))
3.3b
(/ (* y (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
5.9b
(* x (/ (* y (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
16×*-un-lft-identity
14×add-sqr-sqrt associate-*r*
10×add-cube-cbrt
8×times-frac
7×pow1
6×associate-*l* prod-exp cbrt-unprod
5×associate-*r/
4×cbrt-undiv div-exp associate-/r* associate-/r/
3×distribute-lft-out add-log-exp
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ pow-prod-down *-commutative flip-- flip-+ div-inv associate-/l/ unswap-sqr
1×frac-2neg clear-num associate-/l* difference-of-squares
Counts
3 → 82
Calls
3 calls:
10.0ms
(* y (- (* 1.0 1.0) (* y y)))
10.0ms
(/ (* y (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
19.0ms
(* x (/ (* y (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))

series298.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(* y (- (* 1.0 1.0) (* y y)))
116.0ms
(/ (* y (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
109.0ms
(* x (/ (* y (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))

simplify62.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0389693
12130559
25001559

prune161.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes68.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample371.0ms

Algorithm
intervals
Results
199.0ms10696×body80valid