Details

Time bar (total: 4.6s)

sample36.0ms

Algorithm
intervals
Results
24.0ms331×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2426
3496
4556
5616
6636
7636

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b
(/ (+ x 4.0) y)
2.9b
(* (/ x y) z)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-exp-log add-cbrt-cube distribute-lft-out
pow1 add-log-exp
div-inv associate-/l*
expm1-log1p-u associate-*r* associate-*l/ associate-/r* log1p-expm1-u
cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 117
Calls
3 calls:
35.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
8.0ms
(/ (+ x 4.0) y)
8.0ms
(* (/ x y) z)

series93.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
30.0ms
(/ (+ x 4.0) y)
21.0ms
(* (/ x y) z)

simplify44.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0399743
11422683
25001668

prune291.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma 4.0 (/ 1 y) (/ x y)) (* (/ x y) z))
0.0b
(fma 4.0 (/ 1 y) (/ x y))
2.9b
(* (/ x y) z)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity associate-*l*
10×times-frac
add-exp-log add-cbrt-cube
pow1 add-log-exp
expm1-log1p-u fma-neg associate-*r* prod-diff log1p-expm1-u
prod-exp cbrt-unprod fma-udef unswap-sqr
cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ associate--l+ *-commutative flip-- div-inv
Counts
3 → 65
Calls
3 calls:
3.0ms
(- (fma 4.0 (/ 1 y) (/ x y)) (* (/ x y) z))
0.0ms
(fma 4.0 (/ 1 y) (/ x y))
8.0ms
(* (/ x y) z)

series98.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- (fma 4.0 (/ 1 y) (/ x y)) (* (/ x y) z))
32.0ms
(fma 4.0 (/ 1 y) (/ x y))
21.0ms
(* (/ x y) z)

simplify112.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
0248404
1954367
24828355
35001346

prune210.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series725.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt y)
179.0ms
(cbrt x)
176.0ms
(cbrt x)
186.0ms
(cbrt x)

simplify51.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152

prune271.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (cbrt y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 61
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt (cbrt y))
1.0ms
(cbrt (cbrt y))
1.0ms
(cbrt (cbrt y))

series1.1s

Counts
4 → 12
Calls
4 calls:
332.0ms
(cbrt x)
244.0ms
(cbrt (cbrt y))
246.0ms
(cbrt (cbrt y))
245.0ms
(cbrt (cbrt y))

simplify66.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
088283
1158265
2374257
31307257
45001257

prune357.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes83.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02217
12217

end0.0ms

sample990.0ms

Algorithm
intervals
Results
759.0ms10127×body80valid