Details

Time bar (total: 3.0s)

sample20.0ms

Algorithm
intervals
Results
9.0ms323×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2426
3496
4556
5616
6636
7636

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

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)
3.4b
(* (/ x y) z)

rewrite56.0ms

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
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-*r* associate-*l/ associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
1×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:
37.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
8.0ms
(/ (+ x 4.0) y)
8.0ms
(* (/ x y) z)

series94.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
31.0ms
(/ (+ x 4.0) y)
20.0ms
(* (/ x y) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0399743
11422683
25001668

prune307.0ms

Filtered
126 candidates to 89 candidates (70.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))
3.4b
(* (/ x y) z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity associate-*l*
10×times-frac
8×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
3×expm1-log1p-u fma-neg associate-*r* prod-diff log1p-expm1-u
2×prod-exp cbrt-unprod fma-udef unswap-sqr
1×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:
2.0ms
(- (fma 4.0 (/ 1 y) (/ x y)) (* (/ x y) z))
0.0ms
(fma 4.0 (/ 1 y) (/ x y))
8.0ms
(* (/ x y) z)

series99.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- (fma 4.0 (/ 1 y) (/ x y)) (* (/ x y) z))
33.0ms
(fma 4.0 (/ 1 y) (/ x y))
21.0ms
(* (/ x y) z)

simplify110.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
0248404
1954367
24828355
35001346

prune212.0ms

Filtered
74 candidates to 56 candidates (75.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×frac-times times-frac associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 90
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
43.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series558.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt x)
184.0ms
(cbrt x)
181.0ms
(cbrt x)
22.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify60.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04101005
12226677
25002546

prune277.0ms

Filtered
102 candidates to 62 candidates (60.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
0.0b
(/ (+ x 4.0) y)
4.9b
(* x (/ z y))

rewrite52.0ms

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-*r*
10×add-exp-log add-cbrt-cube distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-*r/ associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
1×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:
32.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
8.0ms
(/ (+ x 4.0) y)
7.0ms
(* x (/ z y))

series89.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
29.0ms
(/ (+ x 4.0) y)
19.0ms
(* x (/ z y))

simplify45.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0409748
11644688
25001677

prune281.0ms

Filtered
126 candidates to 87 candidates (69.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02217
12217

end0.0ms

sample479.0ms

Algorithm
intervals
Results
282.0ms10070×body80valid