Details

Time bar (total: 3.5s)

sample22.0ms

Algorithm
intervals
Results
9.0ms334×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2386
3456
4516
5546
6546

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.7b
(* (/ x y) z)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv 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 → 79
Calls
3 calls:
18.0ms
(/ (+ x 4.0) y)
50.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
14.0ms
(* (/ x y) z)

series96.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (+ x 4.0) y)
44.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
22.0ms
(* (/ x y) z)

simplify110.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0341425
11212395
24978394
35002394

prune179.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x 4.0))
0.0b
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
0.1b
(/ 1 (/ y (+ x 4.0)))
2.7b
(* (/ x y) z)

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
124×times-frac
104×*-un-lft-identity
77×add-sqr-sqrt
72×add-cube-cbrt
22×add-exp-log associate-/r*
16×add-cbrt-cube distribute-lft-out
13×associate-*l*
11×associate-/r/
9×div-exp
7×pow1 div-inv
6×associate-/l* add-log-exp
5×cbrt-undiv flip3-+ flip-+
3×associate-*r*
2×rec-exp frac-2neg 1-exp associate-*l/ prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg flip3-- pow-flip diff-log pow-prod-down *-commutative frac-sub flip-- inv-pow
Counts
4 → 174
Calls
4 calls:
12.0ms
(/ y (+ x 4.0))
81.0ms
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
16.0ms
(/ 1 (/ y (+ x 4.0)))
14.0ms
(* (/ x y) z)

series127.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ y (+ x 4.0))
47.0ms
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
25.0ms
(/ 1 (/ y (+ x 4.0)))
22.0ms
(* (/ x y) z)

simplify68.0ms

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06411180
13132953
25002947

prune307.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
9.5b
(cbrt (/ x y))
9.5b
(cbrt (/ x y))
9.5b
(cbrt (/ x y))

rewrite37.0ms

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×add-cbrt-cube 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 → 144
Calls
4 calls:
24.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series285.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
63.0ms
(cbrt (/ x y))
66.0ms
(cbrt (/ x y))
68.0ms
(cbrt (/ x y))

simplify69.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
02601109
19021061
235251016
35001992

prune458.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt x)
9.5b
(cbrt (/ x y))
9.5b
(cbrt (/ x y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×cbrt-div div-inv
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt x)
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series484.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt y)
177.0ms
(cbrt x)
64.0ms
(cbrt (/ x y))
65.0ms
(cbrt (/ x y))

simplify40.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
0165360
1398340
21423332
35001314

prune282.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167
1167

end0.0ms

sample597.0ms

Algorithm
intervals
Results
296.0ms10044×body80valid