Details

Time bar (total: 2.6s)

analyze251.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
31.2%68.6%0.1%8
39%57.7%3.3%9
47.6%46%6.4%10
58.1%35.5%6.4%11
62.2%29.1%8.7%12
66.2%22.7%11.1%13
71.3%17.6%11.1%14

sample19.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms22×body80invalid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
02857
12857

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.6b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
3.4b
(* x (- 1.0 (* y z)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×flip3-- associate-*r/ flip--
1×distribute-rgt-in distribute-lft-in diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
3.0ms
(- 1.0 (* y z))
5.0ms
(* x (- 1.0 (* y z)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- 1.0 (* y z))
9.0ms
(* x (- 1.0 (* y z)))

simplify38.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04922327
14922327

prune84.0ms

Filtered
27 candidates to 39 candidates (-44.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New31839
Fresh000
Picked011
Done000
Total31940

Merged error: 3.4b

Counts
40 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.6b
(cbrt (- 1.0 (* y z)))
3.6b
(cbrt (- 1.0 (* y z)))
3.6b
(cbrt (- 1.0 (* y z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-- flip--
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
10.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
3.0ms
(cbrt (- 1.0 (* y z)))

series137.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
36.0ms
(cbrt (- 1.0 (* y z)))
38.0ms
(cbrt (- 1.0 (* y z)))
36.0ms
(cbrt (- 1.0 (* y z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
053271070

prune214.0ms

Filtered
68 candidates to 78 candidates (-14.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New75378
Fresh347
Picked101
Done011
Total79887

Merged error: 3.3b

Counts
87 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (cbrt (- 1.0 (* y z))) x) (cbrt (- 1.0 (* y z))))
3.6b
(cbrt (- 1.0 (* y z)))
3.6b
(cbrt (- 1.0 (* y z)))
3.6b
(cbrt (- 1.0 (* y z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
12×cbrt-prod
9×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity flip--
8×associate-*l/
6×associate-*r* add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×associate-*l* *-commutative
Counts
4 → 68
Calls
4 calls:
12.0ms
(* (* (cbrt (- 1.0 (* y z))) x) (cbrt (- 1.0 (* y z))))
2.0ms
(cbrt (- 1.0 (* y z)))
3.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))

series178.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (* (cbrt (- 1.0 (* y z))) x) (cbrt (- 1.0 (* y z))))
39.0ms
(cbrt (- 1.0 (* y z)))
37.0ms
(cbrt (- 1.0 (* y z)))
38.0ms
(cbrt (- 1.0 (* y z)))

simplify70.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049311216
149311216

prune196.0ms

Filtered
62 candidates to 80 candidates (-29.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New80080
Fresh066
Picked011
Done011
Total80888

Merged error: 3.3b

Counts
88 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

3.6b
(cbrt (- 1.0 (* y z)))
3.6b
(cbrt (- 1.0 (* y z)))
3.6b
(cbrt (- 1.0 (* y z)))
3.6b
(cbrt (- 1.0 (* y z)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
3.0ms
(cbrt (- 1.0 (* y z)))

series152.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(cbrt (- 1.0 (* y z)))
38.0ms
(cbrt (- 1.0 (* y z)))
37.0ms
(cbrt (- 1.0 (* y z)))
39.0ms
(cbrt (- 1.0 (* y z)))

simplify36.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
04987816
14987816

prune230.0ms

Filtered
60 candidates to 64 candidates (-6.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh055
Picked011
Done022
Total64872

Merged error: 3.3b

Counts
72 → 8

regimes450.0ms

Accuracy

0% (0.2b remaining)

Error of 3.2b against oracle of 3.0b and baseline of 3.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0667
1667

end0.0ms

sample397.0ms

Algorithm
intervals
Results
206.0ms8000×body80valid
15.0ms536×body80invalid

Profiling

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