Details

Time bar (total: 3.9s)

analyze1.4s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.8%98%0.3%13
2.4%97.3%0.3%14

sample34.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
6.0ms141×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08013
18013

prune17.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y z) (* a (+ t (* z b))))
0.0b
(+ x (+ (* y z) (* a (+ t (* z b)))))
1.1b
(* a (+ t (* z b)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt add-cbrt-cube
sum-log
associate-+r+ flip3-+ associate-*r* associate-*l* flip-+
+-commutative distribute-rgt-in distribute-lft-in associate-*r/
pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 49
Calls
3 calls:
4.0ms
(+ (* y z) (* a (+ t (* z b))))
5.0ms
(+ x (+ (* y z) (* a (+ t (* z b)))))
6.0ms
(* a (+ t (* z b)))

series55.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ (* y z) (* a (+ t (* z b))))
26.0ms
(+ x (+ (* y z) (* a (+ t (* z b)))))
12.0ms
(* a (+ t (* z b)))

simplify42.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04992702
14992702

prune96.0ms

Filtered
45 candidates to 58 candidates (-28.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New52658
Fresh011
Picked011
Done000
Total52860

Merged error: 0b

Counts
60 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
1.0b
(* (* (cbrt a) (cbrt a)) (* (+ t (* z b)) (cbrt a)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
10×add-cbrt-cube
cbrt-prod
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
pow1/3
associate-*r/ associate-*l/
flip3-+ associate-*r* associate-*l* *-commutative flip-+
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
11.0ms
(* (* (cbrt a) (cbrt a)) (* (+ t (* z b)) (cbrt a)))

series88.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt a)
22.0ms
(cbrt a)
23.0ms
(cbrt a)
18.0ms
(* (* (cbrt a) (cbrt a)) (* (+ t (* z b)) (cbrt a)))

simplify59.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04901369
14901369

prune81.0ms

Filtered
42 candidates to 69 candidates (-64.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New69069
Fresh066
Picked011
Done011
Total69877

Merged error: 0b

Counts
77 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ x (* y z))
6.1b
(* (* a z) b)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
10×sum-log
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
+-commutative flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
associate-+l+
associate-*l* *-commutative
Counts
4 → 56
Calls
4 calls:
8.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms
(+ (+ x (* y z)) (* t a))
3.0ms
(+ x (* y z))
5.0ms
(* (* a z) b)

series53.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
14.0ms
(+ (+ x (* y z)) (* t a))
8.0ms
(+ x (* y z))
6.0ms
(* (* a z) b)

simplify23.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
05328695

prune89.0ms

Filtered
50 candidates to 68 candidates (-36.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New67168
Fresh145
Picked011
Done112
Total69776

Merged error: 0b

Counts
76 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (+ (* y z) (cbrt (pow (* a (+ t (* z b))) 3))))
0.3b
(pow (* a (+ t (* z b))) 3)
1.1b
(* a (+ t (* z b)))
36.4b
(cbrt (pow (* a (+ t (* z b))) 3))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cbrt-cube add-log-exp
cbrt-prod add-cube-cbrt
associate-*r/
cube-div flip3-+ flip-+
pow-unpow associate-*r* associate-*l* sum-log
cube-mult unpow-prod-down cbrt-div pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
+-commutative distribute-rgt-in pow-to-exp associate-+r+ distribute-lft-in pow1/3 *-commutative rem-cbrt-cube distribute-lft-out unswap-sqr
Counts
4 → 79
Calls
4 calls:
7.0ms
(+ x (+ (* y z) (cbrt (pow (* a (+ t (* z b))) 3))))
5.0ms
(pow (* a (+ t (* z b))) 3)
5.0ms
(* a (+ t (* z b)))
2.0ms
(cbrt (pow (* a (+ t (* z b))) 3))

series94.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ x (+ (* y z) (cbrt (pow (* a (+ t (* z b))) 3))))
31.0ms
(pow (* a (+ t (* z b))) 3)
12.0ms
(* a (+ t (* z b)))
17.0ms
(cbrt (pow (* a (+ t (* z b))) 3))

simplify26.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
060311036

prune97.0ms

Filtered
65 candidates to 91 candidates (-40.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh044
Picked011
Done022
Total91798

Merged error: 0b

Counts
98 → 7

regimes631.0ms

Accuracy

66.1% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.7b

bsearch44.0ms

Steps
ItersRangePoint
9
1.030937000770057e-101
1.0308175509495064e-94
7.262225120511357e-98
9
-4.6340841948073446e-182
-3.277304735146307e-187
-4.5837431279462196e-182

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03937
13937

end0.0ms

sample889.0ms

Algorithm
intervals
Results
360.0ms8000×body80valid
164.0ms3670×body80invalid

Profiling

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