Details

Time bar (total: 3.9s)

sample39.0ms

Algorithm
intervals
Results
14.0ms361×body80valid

simplify298.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (296.0ms)

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: 9.3b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
8.8b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
pow1
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
prod-exp cbrt-unprod
times-frac associate-*r* pow-prod-down associate-/l*
cbrt-undiv flip3-- div-exp flip-- associate-/l/
sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
6.0ms
(- (* x y) (* (* z 9.0) t))
5.0ms
(* (* z 9.0) t)
6.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series35.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(- (* x y) (* (* z 9.0) t))
4.0ms
(* (* z 9.0) t)
19.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify33.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05095710

prune99.0ms

Filtered
43 candidates to 63 candidates (-46.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New57663
Fresh101
Picked011
Done000
Total58765

Merged error: 0.0b

Counts
65 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y (/ x (* a 2.0))) (* t (* (/ z a) (/ 9.0 2.0))))
0.2b
(* (/ z a) (/ 9.0 2.0))
4.9b
(* t (* (/ z a) (/ 9.0 2.0)))
6.2b
(* y (/ x (* a 2.0)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
43×add-exp-log add-cbrt-cube
36×add-sqr-sqrt
25×times-frac
22×add-cube-cbrt *-un-lft-identity
21×associate-*r*
19×associate-*l*
17×prod-exp cbrt-unprod
15×associate-*r/
13×pow1
10×cbrt-undiv div-exp
add-log-exp
pow-prod-down unswap-sqr
frac-times
associate-*l/ *-commutative frac-sub div-inv
sub-neg flip3-- diff-log flip-- sub-div
Counts
4 → 120
Calls
4 calls:
8.0ms
(- (* y (/ x (* a 2.0))) (* t (* (/ z a) (/ 9.0 2.0))))
10.0ms
(* (/ z a) (/ 9.0 2.0))
8.0ms
(* t (* (/ z a) (/ 9.0 2.0)))
7.0ms
(* y (/ x (* a 2.0)))

series42.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(- (* y (/ x (* a 2.0))) (* t (* (/ z a) (/ 9.0 2.0))))
3.0ms
(* (/ z a) (/ 9.0 2.0))
6.0ms
(* t (* (/ z a) (/ 9.0 2.0)))
6.0ms
(* y (/ x (* a 2.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049811392
149811392

prune182.0ms

Filtered
87 candidates to 132 candidates (-51.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1275132
Fresh145
Picked101
Done011
Total12910139

Merged error: 0b

Counts
139 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ y a) (/ x 2.0)) (* t (* (/ z a) (/ 9.0 2.0))))
0.2b
(* (/ z a) (/ 9.0 2.0))
4.4b
(* (/ y a) (/ x 2.0))
4.9b
(* t (* (/ z a) (/ 9.0 2.0)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
46×add-exp-log add-cbrt-cube
44×times-frac
33×add-cube-cbrt *-un-lft-identity
29×associate-*l*
27×associate-*r*
26×associate-*r/
17×prod-exp cbrt-unprod
13×pow1
12×cbrt-undiv div-exp
11×frac-times associate-*l/
frac-sub
unswap-sqr
add-log-exp
pow-prod-down
div-inv
*-commutative sub-div
sub-neg flip3-- diff-log flip--
Counts
4 → 151
Calls
4 calls:
9.0ms
(- (* (/ y a) (/ x 2.0)) (* t (* (/ z a) (/ 9.0 2.0))))
10.0ms
(* (/ z a) (/ 9.0 2.0))
12.0ms
(* (/ y a) (/ x 2.0))
8.0ms
(* t (* (/ z a) (/ 9.0 2.0)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- (* (/ y a) (/ x 2.0)) (* t (* (/ z a) (/ 9.0 2.0))))
3.0ms
(* (/ z a) (/ 9.0 2.0))
6.0ms
(* (/ y a) (/ x 2.0))
6.0ms
(* t (* (/ z a) (/ 9.0 2.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049851757
149851757

prune209.0ms

Filtered
115 candidates to 163 candidates (-41.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1621163
Fresh178
Picked011
Done011
Total16310173

Merged error: 0b

Counts
173 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y (/ x (* a 2.0))) (* t (/ (* z 9.0) (* a 2.0))))
0.2b
(/ (* z 9.0) (* a 2.0))
4.9b
(* t (/ (* z 9.0) (* a 2.0)))
6.2b
(* y (/ x (* a 2.0)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
43×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
13×add-sqr-sqrt
12×associate-*r*
10×cbrt-undiv div-exp
add-cube-cbrt *-un-lft-identity
pow1
associate-*r/ associate-*l* add-log-exp
times-frac
div-inv
pow-prod-down *-commutative unswap-sqr
sub-neg flip3-- frac-2neg diff-log clear-num associate-/r* frac-sub flip-- associate-/l* sub-div
Counts
4 → 91
Calls
4 calls:
7.0ms
(- (* y (/ x (* a 2.0))) (* t (/ (* z 9.0) (* a 2.0))))
5.0ms
(/ (* z 9.0) (* a 2.0))
8.0ms
(* t (/ (* z 9.0) (* a 2.0)))
6.0ms
(* y (/ x (* a 2.0)))

series41.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- (* y (/ x (* a 2.0))) (* t (/ (* z 9.0) (* a 2.0))))
3.0ms
(/ (* z 9.0) (* a 2.0))
6.0ms
(* t (/ (* z 9.0) (* a 2.0)))
8.0ms
(* y (/ x (* a 2.0)))

simplify38.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
051031106

prune95.0ms

Filtered
64 candidates to 103 candidates (-60.9%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh077
Picked011
Done022
Total10310113

Merged error: 0b

Counts
113 → 10

regimes1.4s

Accuracy

84.9% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 7.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
011555
111555

end0.0ms

sample1.1s

Algorithm
intervals
Results
460.0ms11205×body80valid

Profiling

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