Details

Time bar (total: 5.2s)

sample14.0ms

Algorithm
intervals
Results
6.0ms333×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2383
3473
4473

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: 0.1b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (- 1.0 (* x y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
7×*-un-lft-identity associate-*r*
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ distribute-lft-out-- difference-of-squares unswap-sqr
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp
Counts
1 → 28
Calls
1 calls:
12.0ms
(* x (- 1.0 (* x y)))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* x (- 1.0 (* x y)))

simplify84.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0140141
1586124
23067124
35002124

prune41.0ms

Filtered
31 candidates to 18 candidates (58.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New25631
Fresh000
Picked011
Done000
Total25732

Merged error: 0.0b

Counts
32 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
65×cbrt-prod
63×*-un-lft-identity
58×add-sqr-sqrt
22×distribute-lft-out--
21×associate-*l*
18×cbrt-div
16×swap-sqr
15×add-cube-cbrt
14×difference-of-squares
11×pow1 unswap-sqr
10×associate-*r*
9×flip3-- pow1/3 flip--
8×add-cbrt-cube
6×add-exp-log
4×frac-times cbrt-unprod add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative
Counts
4 → 120
Calls
4 calls:
22.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
6.0ms
(cbrt (- 1.0 (* x y)))
6.0ms
(cbrt (- 1.0 (* x y)))
6.0ms
(cbrt (- 1.0 (* x y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
229.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
239.0ms
(cbrt (- 1.0 (* x y)))
377.0ms
(cbrt (- 1.0 (* x y)))
249.0ms
(cbrt (- 1.0 (* x y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03901419
114681345
250011208

prune256.0ms

Filtered
132 candidates to 87 candidates (65.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1311132
Fresh055
Picked011
Done011
Total1318139

Merged error: 0.0b

Counts
139 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
140×cbrt-prod
102×add-sqr-sqrt
81×*-un-lft-identity
80×associate-*r*
53×associate-*l*
29×add-cube-cbrt unswap-sqr
27×swap-sqr
22×distribute-lft-out--
20×associate-*r/
18×cbrt-div
14×difference-of-squares
11×pow1
9×flip3-- pow1/3 flip--
8×*-commutative add-cbrt-cube
6×add-exp-log
4×frac-times cbrt-unprod add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp
Counts
4 → 181
Calls
4 calls:
27.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
9.0ms
(cbrt (* x (- 1.0 (* x y))))
9.0ms
(cbrt (* x (- 1.0 (* x y))))
9.0ms
(cbrt (* x (- 1.0 (* x y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
298.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
275.0ms
(cbrt (* x (- 1.0 (* x y))))
273.0ms
(cbrt (* x (- 1.0 (* x y))))
277.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify77.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05532359
122932257
250012164

prune361.0ms

Filtered
193 candidates to 132 candidates (68.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1921193
Fresh055
Picked011
Done022
Total1929201

Merged error: 0b

Counts
201 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
61×cbrt-prod
52×add-sqr-sqrt
31×associate-*l*
29×*-un-lft-identity
27×associate-*r*
17×add-cube-cbrt
14×unswap-sqr
8×add-cbrt-cube
6×pow1 add-exp-log cbrt-div associate-*r/ distribute-lft-out-- difference-of-squares
5×pow1/3
4×*-commutative cbrt-unprod add-log-exp
3×flip3-- flip--
2×pow-prod-down associate-*l/
1×prod-exp
Counts
4 → 111
Calls
4 calls:
15.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt x))
1.0ms
(cbrt x)
10.0ms
(cbrt (* x (- 1.0 (* x y))))
9.0ms
(cbrt (* x (- 1.0 (* x y))))

series1.0s

Counts
4 → 12
Calls
4 calls:
305.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt x))
178.0ms
(cbrt x)
277.0ms
(cbrt (* x (- 1.0 (* x y))))
278.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify62.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05231199
120921138
250011122

prune304.0ms

Filtered
123 candidates to 100 candidates (81.3%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1230123
Fresh055
Picked011
Done033
Total1239132

Merged error: 0b

Counts
132 → 9

regimes86.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample354.0ms

Algorithm
intervals
Results
192.0ms10636×body80valid