Details

Time bar (total: 5.2s)

analyze1.3s

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
9.4%90.4%0.2%11
9.4%90.4%0.2%12
10.1%89.6%0.2%13
20.8%78.9%0.2%14

sample29.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
3.0ms80×body80invalid

simplify302.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (300.0ms)

IterNodesCost
0488813
1488813

prune18.0ms

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: 8.5b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(* z (* 9.0 t))
0.7b
(- (* x y) (* z (* 9.0 t)))
8.0b
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*l* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*r* clear-num associate-/r* *-commutative div-inv
Counts
3 → 53
Calls
3 calls:
4.0ms
(* z (* 9.0 t))
4.0ms
(- (* x y) (* z (* 9.0 t)))
7.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series36.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* z (* 9.0 t))
12.0ms
(- (* x y) (* z (* 9.0 t)))
20.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify31.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
05089703

prune110.0ms

Filtered
42 candidates to 62 candidates (-47.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New54862
Fresh011
Picked101
Done000
Total55964

Merged error: 0.0b

Counts
64 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (* y (/ x a))) (* 4.5 (* z (/ t a))))
0.2b
(* 4.5 (* z (/ t a)))
3.5b
(* z (/ t a))
4.9b
(* y (/ x a))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
27×associate-*r*
23×add-exp-log add-cbrt-cube
21×add-cube-cbrt *-un-lft-identity
20×times-frac
13×pow1
12×associate-*r/
9×associate-*l* prod-exp cbrt-unprod
6×add-log-exp
5×pow-prod-down
4×unswap-sqr
3×cbrt-undiv div-exp *-commutative
2×div-inv
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
4 → 98
Calls
4 calls:
8.0ms
(- (* 0.5 (* y (/ x a))) (* 4.5 (* z (/ t a))))
6.0ms
(* 4.5 (* z (/ t a)))
6.0ms
(* z (/ t a))
6.0ms
(* y (/ x a))

series40.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- (* 0.5 (* y (/ x a))) (* 4.5 (* z (/ t a))))
6.0ms
(* 4.5 (* z (/ t a)))
5.0ms
(* z (/ t a))
5.0ms
(* y (/ x a))

simplify48.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04967973
14967973

prune172.0ms

Filtered
76 candidates to 110 candidates (-44.7%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1019110
Fresh448
Picked101
Done000
Total10613119

Merged error: 0b

Counts
119 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
3.5b
(* z (/ t a))
3.5b
(* (/ y (* (cbrt a) (cbrt a))) (/ x (cbrt a)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
38×times-frac
35×associate-*r*
30×add-exp-log
29×add-cube-cbrt *-un-lft-identity
23×add-cbrt-cube
17×cbrt-prod
10×associate-*l* prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp unswap-sqr
4×add-log-exp
3×div-inv
2×pow1/3 associate-*r/ pow-prod-down *-commutative
1×frac-times associate-*l/
Counts
4 → 113
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
6.0ms
(* z (/ t a))
14.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ x (cbrt a)))

series64.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt a)
25.0ms
(cbrt a)
5.0ms
(* z (/ t a))
11.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ x (cbrt a)))

simplify96.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
04917977
14917977

prune167.0ms

Filtered
86 candidates to 125 candidates (-45.3%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1241125
Fresh11112
Picked011
Done000
Total12513138

Merged error: 0b

Counts
138 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
1.2b
(* (* (/ y (pow (cbrt a) 2)) x) (/ 1 (cbrt a)))
2.8b
(* (/ y (pow (cbrt a) 2)) x)
3.5b
(* z (/ t a))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
88×add-exp-log
68×add-sqr-sqrt
66×times-frac
48×add-cube-cbrt *-un-lft-identity
42×prod-exp
41×associate-*l*
38×associate-*r*
32×add-cbrt-cube
26×div-exp
22×cbrt-prod
20×unpow-prod-down
14×cbrt-unprod
13×pow1
8×unswap-sqr
7×cbrt-undiv
5×pow-to-exp rec-exp 1-exp pow-prod-down pow-exp
4×associate-*l/ unpow2 add-log-exp sqr-pow
3×*-commutative div-inv
2×associate-*r/
1×frac-times pow1/3 un-div-inv
Counts
4 → 168
Calls
4 calls:
1.0ms
(cbrt a)
15.0ms
(* (* (/ y (pow (cbrt a) 2)) x) (/ 1 (cbrt a)))
11.0ms
(* (/ y (pow (cbrt a) 2)) x)
6.0ms
(* z (/ t a))

series73.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt a)
10.0ms
(* (* (/ y (pow (cbrt a) 2)) x) (/ 1 (cbrt a)))
35.0ms
(* (/ y (pow (cbrt a) 2)) x)
5.0ms
(* z (/ t a))

simplify113.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
049371390
149371390

prune203.0ms

Filtered
121 candidates to 180 candidates (-48.8%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1791180
Fresh2911
Picked011
Done101
Total18211193

Merged error: 0b

Counts
193 → 11

regimes1.4s

Accuracy

85.5% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 7.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
015169
115169

end0.0ms

sample828.0ms

Algorithm
intervals
Results
343.0ms8000×body80valid
131.0ms3062×body80invalid

Profiling

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