Details

Time bar (total: 4.0s)

analyze880.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
16.4%83.4%0.2%11
19.9%79.9%0.2%12
21.6%77.2%1.2%13
24.8%73.7%1.4%14

sample31.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms94×body80invalid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
05509
15509

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.2b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
8.7b
(/ (- (* x y) (* z t)) a)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
5.0ms
(/ (- (* x y) (* z t)) a)

series24.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(- (* x y) (* z t))
14.0ms
(/ (- (* x y) (* z t)) a)

simplify39.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05334577

prune77.0ms

Filtered
37 candidates to 47 candidates (-27.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New40747
Fresh000
Picked011
Done000
Total40848

Merged error: 0.1b

Counts
48 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (/ y a)) (* z (/ t a)))
5.3b
(* x (/ y a))
5.9b
(* z (/ t a))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
26×associate-*r*
20×times-frac
19×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
7×pow1
6×associate-*r/ associate-*l*
5×add-log-exp
4×prod-exp cbrt-unprod unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 77
Calls
3 calls:
5.0ms
(- (* x (/ y a)) (* z (/ t a)))
6.0ms
(* x (/ y a))
6.0ms
(* z (/ t a))

series27.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(- (* x (/ y a)) (* z (/ t a)))
4.0ms
(* x (/ y a))
5.0ms
(* z (/ t a))

simplify55.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04955706
14955706

prune132.0ms

Filtered
59 candidates to 86 candidates (-45.8%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New77986
Fresh156
Picked101
Done011
Total791594

Merged error: 0b

Counts
94 → 15

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.7b
(* z (* (cbrt t) (/ (cbrt t) (* (cbrt a) (cbrt a)))))
5.3b
(* x (/ y a))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
20×add-sqr-sqrt
16×add-cbrt-cube
15×add-cube-cbrt *-un-lft-identity
14×associate-*r*
11×pow1
10×times-frac prod-exp cbrt-unprod
6×cbrt-prod associate-*l*
4×pow-prod-down add-log-exp
3×cbrt-undiv associate-*r/ div-exp
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 77
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
10.0ms
(* z (* (cbrt t) (/ (cbrt t) (* (cbrt a) (cbrt a)))))
6.0ms
(* x (/ y a))

series75.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
24.0ms
(cbrt t)
25.0ms
(* z (* (cbrt t) (/ (cbrt t) (* (cbrt a) (cbrt a)))))
5.0ms
(* x (/ y a))

simplify47.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05260623

prune123.0ms

Filtered
59 candidates to 89 candidates (-50.8%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh01313
Picked011
Done011
Total8915104

Merged error: 0b

Counts
104 → 15

localize12.0ms

Local error

Found 4 expressions with local error:

5.9b
(* z (/ t a))
13.7b
(cbrt (/ y a))
13.7b
(cbrt (/ y a))
13.7b
(cbrt (/ y a))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
38×add-sqr-sqrt
37×times-frac
33×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
6×pow1
4×div-inv add-log-exp
3×cbrt-div pow1/3 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative
Counts
4 → 98
Calls
4 calls:
6.0ms
(* z (/ t a))
2.0ms
(cbrt (/ y a))
2.0ms
(cbrt (/ y a))
2.0ms
(cbrt (/ y a))

series43.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* z (/ t a))
12.0ms
(cbrt (/ y a))
14.0ms
(cbrt (/ y a))
12.0ms
(cbrt (/ y a))

simplify51.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04892809
14892809

prune85.0ms

Filtered
78 candidates to 110 candidates (-41.0%)
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh01212
Picked011
Done022
Total11015125

Merged error: 0b

Counts
125 → 15

regimes1.4s

Accuracy

93.8% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 5.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124124
1124124

end0.0ms

sample726.0ms

Algorithm
intervals
Results
285.0ms8000×body80valid
103.0ms3040×body80invalid

Profiling

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