Details

Time bar (total: 5.0s)

analyze1.1s

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

sample31.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
4.0ms96×body80invalid

simplify294.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (292.0ms)

IterNodesCost
0488813
1488813

prune13.0ms

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: 8.2b

Counts
2 → 2

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
7.8b
(/ (- (* 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-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 53
Calls
3 calls:
3.0ms
(- (* x y) (* (* z 9.0) t))
4.0ms
(* (* z 9.0) t)
6.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series33.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(- (* x y) (* (* z 9.0) t))
3.0ms
(* (* z 9.0) t)
18.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify31.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
05095704

prune110.0ms

Filtered
43 candidates to 62 candidates (-44.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New53962
Fresh101
Picked011
Done000
Total541064

Merged error: 0.1b

Counts
64 → 10

localize10.0ms

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)))
4.6b
(* z (/ t a))
6.6b
(* y (/ x a))

rewrite32.0ms

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))))
8.0ms
(* 4.5 (* z (/ t a)))
6.0ms
(* z (/ t a))
7.0ms
(* y (/ x a))

series38.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (* 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))

simplify47.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04967973
14967973

prune165.0ms

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

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1028110
Fresh358
Picked101
Done011
Total10614120

Merged error: 0.0b

Counts
120 → 14

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
4.6b
(* z (/ t a))
4.6b
(* (/ y (* (cbrt a) (cbrt a))) (/ x (cbrt a)))

rewrite28.0ms

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))
15.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ x (cbrt a)))

series56.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt a)
21.0ms
(cbrt a)
5.0ms
(* z (/ t a))
10.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ x (cbrt a)))

simplify94.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
04917977
14917977

prune174.0ms

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

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1232125
Fresh11112
Picked101
Done011
Total12514139

Merged error: 0b

Counts
139 → 14

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.4b
(* y (/ (* (cbrt x) (cbrt x)) (pow (cbrt a) 2)))
4.6b
(* z (/ t a))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
30×add-exp-log
28×associate-*r*
26×times-frac
19×add-cube-cbrt *-un-lft-identity
16×add-cbrt-cube
12×prod-exp
10×cbrt-prod
8×pow1 unpow-prod-down unswap-sqr
7×div-exp
6×associate-*l* cbrt-unprod
4×add-log-exp
3×cbrt-undiv
2×pow-to-exp pow1/3 associate-*r/ pow-prod-down pow-exp *-commutative div-inv unpow2 sqr-pow
Counts
4 → 98
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
11.0ms
(* y (/ (* (cbrt x) (cbrt x)) (pow (cbrt a) 2)))
6.0ms
(* z (/ t a))

series73.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
23.0ms
(cbrt x)
24.0ms
(* y (/ (* (cbrt x) (cbrt x)) (pow (cbrt a) 2)))
5.0ms
(* z (/ t a))

simplify51.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04979892
14979892

prune125.0ms

Filtered
75 candidates to 110 candidates (-46.7%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh01212
Picked011
Done011
Total11014124

Merged error: 0b

Counts
124 → 14

regimes1.6s

Accuracy

83.6% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 5.4b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
016886
116886

end0.0ms

sample828.0ms

Algorithm
intervals
Results
356.0ms8000×body80valid
133.0ms3169×body80invalid

Profiling

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