Details

Time bar (total: 2.7s)

sample19.0ms

Algorithm
intervals
Results
9.0ms313×body80valid

simplify85.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (33.0ms)

IterNodesCost
0226
1466
21116
32376
44056
55956
69196
726275
850015

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 0.25 (/ (- x z) y))
0.0b
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
0.0b
(/ (- x z) y)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
13×add-cube-cbrt
7×add-log-exp
5×add-exp-log add-cbrt-cube associate-/l*
4×distribute-lft-out-- difference-of-squares
3×pow1 associate-/r*
2×+-commutative associate-+r+ flip3-+ div-sub sum-log flip-+ associate-/l/
1×cbrt-undiv distribute-rgt-in associate-+r- flip3-- frac-2neg distribute-lft-in div-exp clear-num flip-- div-inv distribute-lft-out
Counts
3 → 64
Calls
3 calls:
21.0ms
(+ 0.25 (/ (- x z) y))
4.0ms
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
12.0ms
(/ (- x z) y)

series82.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ 0.25 (/ (- x z) y))
31.0ms
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
37.0ms
(/ (- x z) y)

simplify31.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0326399
11055367
25002367

prune154.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ 0.25 (/ x y)) (/ z y))
0.0b
(+ 1.0 (* 4.0 (- (+ 0.25 (/ x y)) (/ z y))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
7×add-sqr-sqrt *-un-lft-identity
6×associate-+r+
3×distribute-rgt-in sub-neg distribute-lft-in associate--l+
2×pow1 add-exp-log add-cube-cbrt flip3-+ diff-log sum-log frac-sub add-cbrt-cube flip-+ distribute-lft-out-- difference-of-squares
1×+-commutative flip3-- times-frac flip-- distribute-lft-out
Counts
2 → 37
Calls
2 calls:
62.0ms
(- (+ 0.25 (/ x y)) (/ z y))
23.0ms
(+ 1.0 (* 4.0 (- (+ 0.25 (/ x y)) (/ z y))))

series44.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(- (+ 0.25 (/ x y)) (/ z y))
29.0ms
(+ 1.0 (* 4.0 (- (+ 0.25 (/ x y)) (/ z y))))

simplify91.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0266335
1858312
24144305
35001305

prune105.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ 1.0 (* 0.25 4.0)) (* (- (/ x y) (/ z y)) 4.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-*l/ frac-add
6×add-log-exp
5×flip3-+ flip-+
3×sum-log
2×flip3-- frac-sub flip-- sub-div
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ *-un-lft-identity add-cbrt-cube
Counts
1 → 21
Calls
1 calls:
18.0ms
(+ (+ 1.0 (* 0.25 4.0)) (* (- (/ x y) (/ z y)) 4.0))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(+ (+ 1.0 (* 0.25 4.0)) (* (- (/ x y) (/ z y)) 4.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0371403
11496382
25002382

prune73.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x z)) (cbrt (- x z)))
0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))

rewrite34.0ms

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 z)) (cbrt (- x z)))
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))

series564.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* (cbrt (- x z)) (cbrt (- x z)))
151.0ms
(cbrt (- x z))
147.0ms
(cbrt (- x z))
141.0ms
(cbrt (- x z))

simplify152.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (143.0ms)

IterNodesCost
0260760
1909723
24484670
35001660

prune368.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes45.0ms

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
0177
1177

end0.0ms

sample578.0ms

Algorithm
intervals
Results
351.0ms10076×body80valid