Details

Time bar (total: 4.1s)

sample22.0ms

Algorithm
intervals
Results
12.0ms325×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.9b

Counts
2 → 1

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)
4.0b
(* (/ x y) z)

rewrite25.0ms

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:
10.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
5.0ms
(/ (+ x 4.0) y)
6.0ms
(* (/ 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)

simplify42.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0399743
11422683
25001668

prune275.0ms

Filtered
126 candidates to 89 candidates (70.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1197126
Fresh000
Picked101
Done000
Total1207127

Merged error: 0b

Counts
127 → 7

localize16.0ms

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))

rewrite23.0ms

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:
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))

series553.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
172.0ms
(cbrt x)
177.0ms
(cbrt x)
22.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify62.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04101005
12226677
25002546

prune261.0ms

Filtered
102 candidates to 62 candidates (60.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1011102
Fresh156
Picked101
Done000
Total1036109

Merged error: 0b

Counts
109 → 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))))

rewrite13.0ms

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 expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×rem-sqrt-square times-frac
1×sqrt-pow1 pow1/2 sqrt-div div-inv
Counts
4 → 58
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))))

series728.0ms

Counts
4 → 12
Calls
4 calls:
312.0ms
(cbrt x)
175.0ms
(cbrt x)
175.0ms
(cbrt x)
66.0ms
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify75.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 4 (70.0ms)

IterNodesCost
0117310
1249288
2737282
32936277
45001260

prune296.0ms

Filtered
70 candidates to 61 candidates (87.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New69170
Fresh145
Picked101
Done000
Total71576

Merged error: 0b

Counts
76 → 5

localize14.0ms

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 expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series715.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt y)
170.0ms
(cbrt x)
172.0ms
(cbrt x)
192.0ms
(cbrt x)

simplify49.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152

prune256.0ms

Filtered
64 candidates to 56 candidates (87.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New64064
Fresh044
Picked011
Done000
Total64569

Merged error: 0b

Counts
69 → 5

regimes69.0ms

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
01918
11918

end0.0ms

sample496.0ms

Algorithm
intervals
Results
293.0ms10118×body80valid