Details

Time bar (total: 4.2s)

sample21.0ms

Algorithm
intervals
Results
10.0ms325×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.9b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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:
9.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(/ (+ x 4.0) y)
7.0ms
(* (/ x y) z)

series95.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
27.0ms
(/ (+ x 4.0) y)
25.0ms
(* (/ x y) z)

simplify112.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0341425
11212395
24978394
35002394

prune195.0ms

Filtered
88 candidates to 63 candidates (71.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New81788
Fresh000
Picked101
Done000
Total82789

Merged error: 0b

Counts
89 → 7

localize21.0ms

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))

rewrite24.0ms

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×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 → 82
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
17.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series542.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt x)
176.0ms
(cbrt x)
175.0ms
(cbrt x)
22.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify60.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0406967
12218639
25001524

prune220.0ms

Filtered
94 candidates to 54 candidates (57.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New93194
Fresh156
Picked101
Done000
Total956101

Merged error: 0b

Counts
101 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.3b
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
5×pow1 sqrt-prod
4×add-exp-log add-cbrt-cube add-log-exp
3×pow1/3
2×rem-sqrt-square times-frac
1×sqrt-pow1 pow1/2 sqrt-div div-inv
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
8.0ms
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series697.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
165.0ms
(cbrt x)
290.0ms
(cbrt x)
63.0ms
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify74.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 4 (69.0ms)

IterNodesCost
0113280
1245258
2727252
32887247
45001228

prune330.0ms

Filtered
62 candidates to 52 candidates (83.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New61162
Fresh145
Picked101
Done000
Total63568

Merged error: 0b

Counts
68 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series721.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt y)
175.0ms
(cbrt x)
172.0ms
(cbrt x)
174.0ms
(cbrt x)

simplify57.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
069156
1145144
2346136
31277136
45001136

prune244.0ms

Filtered
56 candidates to 48 candidates (85.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New56056
Fresh044
Picked011
Done000
Total56561

Merged error: 0b

Counts
61 → 5

regimes68.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02419
12819
22819

end0.0ms

sample569.0ms

Algorithm
intervals
Results
335.0ms10118×body80valid