Details

Time bar (total: 3.4s)

sample21.0ms

Algorithm
intervals
Results
10.0ms336×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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

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)
3.0b
(* (/ x y) z)

rewrite53.0ms

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:
31.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
10.0ms
(/ (+ x 4.0) y)
7.0ms
(* (/ x y) z)

series92.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
29.0ms
(/ (+ x 4.0) y)
20.0ms
(* (/ x y) z)

simplify43.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0399743
11422683
25001668

prune279.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

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)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
168×*-un-lft-identity
160×times-frac
115×add-sqr-sqrt
112×prod-diff
110×add-cube-cbrt
28×div-inv distribute-lft-out
16×fma-neg
10×add-exp-log add-cbrt-cube
6×associate-/r*
5×associate-/l* add-log-exp
3×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
2×frac-2neg clear-num associate-/l/ difference-of-squares
1×sub-neg flip3-- distribute-rgt-out-- flip3-+ diff-log prod-exp frac-sub flip-- cbrt-unprod flip-+ distribute-lft-out-- sub-div
Counts
3 → 206
Calls
3 calls:
38.0ms
(- (/ (+ x 4.0) y) (/ (* x z) y))
8.0ms
(/ (+ x 4.0) y)
3.0ms
(/ (* x z) y)

series91.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- (/ (+ x 4.0) y) (/ (* x z) y))
26.0ms
(/ (+ x 4.0) y)
19.0ms
(/ (* x z) y)

simplify74.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05893240
120582330
250012301

prune338.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ x y)) (cbrt (/ x y)))
10.0b
(cbrt (/ x y))
10.0b
(cbrt (/ x y))
10.0b
(cbrt (/ x y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
17.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
1.0ms
(cbrt (/ x y))
1.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series272.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
63.0ms
(cbrt (/ x y))
60.0ms
(cbrt (/ x y))
65.0ms
(cbrt (/ x y))

simplify75.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
02671139
19171091
235901046
350011022

prune496.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
3.0b
(* (/ x y) z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
13×associate-*l*
10×times-frac
9×add-exp-log cbrt-prod add-cbrt-cube
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 73
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
7.0ms
(* (/ x y) z)

series544.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt y)
178.0ms
(cbrt y)
172.0ms
(cbrt y)
20.0ms
(* (/ x y) z)

simplify52.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0190263
1647239
22424232
35001229

prune237.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes79.0ms

Accuracy

36.1% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 3.7b

bsearch31.0ms

Steps
ItersRangePoint
7
5.8390711275170506e+144
4.673469084827294e+146
8.04631218254802e+144

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample502.0ms

Algorithm
intervals
Results
293.0ms10051×body80valid