Details

Time bar (total: 3.6s)

sample42.0ms

Algorithm
intervals
Results
16.0ms352×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
092313
192313

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: 8.2b

Counts
2 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.4b
(- (* x y) (* (* z 9.0) t))
7.8b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite19.0ms

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 → 54
Calls
3 calls:
6.0ms
(* (* z 9.0) t)
4.0ms
(- (* x y) (* (* z 9.0) t))
8.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series39.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* (* z 9.0) t)
14.0ms
(- (* x y) (* (* z 9.0) t))
21.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify34.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05061711

prune111.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New56763
Fresh101
Picked011
Done000
Total57865

Merged error: 0.0b

Counts
65 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (* y (/ x a))) (* 4.5 (* z (/ t a))))
0.3b
(* 4.5 (* z (/ t a)))
4.7b
(* y (/ x a))
5.1b
(* z (/ t a))

rewrite36.0ms

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 → 99
Calls
4 calls:
7.0ms
(- (* 0.5 (* y (/ x a))) (* 4.5 (* z (/ t a))))
7.0ms
(* 4.5 (* z (/ t a)))
10.0ms
(* y (/ x a))
8.0ms
(* z (/ t a))

series44.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- (* 0.5 (* y (/ x a))) (* 4.5 (* z (/ t a))))
6.0ms
(* 4.5 (* z (/ t a)))
5.0ms
(* y (/ x a))
5.0ms
(* z (/ t a))

simplify39.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04994981
14994981

prune152.0ms

Filtered
76 candidates to 111 candidates (-46.1%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1074111
Fresh156
Picked101
Done011
Total10910119

Merged error: 0.0b

Counts
119 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (* y (/ x a))) (* z (* 4.5 (/ t a))))
0.2b
(* 4.5 (/ t a))
4.7b
(* y (/ x a))
5.1b
(* z (* 4.5 (/ t a)))

rewrite33.0ms

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 → 99
Calls
4 calls:
7.0ms
(- (* 0.5 (* y (/ x a))) (* z (* 4.5 (/ t a))))
7.0ms
(* 4.5 (/ t a))
7.0ms
(* y (/ x a))
7.0ms
(* z (* 4.5 (/ t a)))

series44.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- (* 0.5 (* y (/ x a))) (* z (* 4.5 (/ t a))))
3.0ms
(* 4.5 (/ t a))
5.0ms
(* y (/ x a))
7.0ms
(* z (* 4.5 (/ t a)))

simplify41.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05021981

prune137.0ms

Filtered
72 candidates to 111 candidates (-54.2%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1101111
Fresh178
Picked011
Done011
Total11110121

Merged error: 0.0b

Counts
121 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (* y (/ x a))) (* z (/ (* 4.5 t) a)))
0.2b
(/ (* 4.5 t) a)
4.7b
(* y (/ x a))
5.1b
(* z (/ (* 4.5 t) a))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
23×add-exp-log add-cbrt-cube
20×associate-*r*
17×add-cube-cbrt *-un-lft-identity
16×times-frac
8×pow1 associate-*r/
7×prod-exp cbrt-unprod
6×associate-*l* add-log-exp
5×cbrt-undiv div-exp
3×associate-/r* div-inv unswap-sqr
2×pow-prod-down *-commutative
1×sub-neg flip3-- frac-2neg diff-log clear-num frac-sub flip-- associate-/l* sub-div
Counts
4 → 94
Calls
4 calls:
7.0ms
(- (* 0.5 (* y (/ x a))) (* z (/ (* 4.5 t) a)))
5.0ms
(/ (* 4.5 t) a)
7.0ms
(* y (/ x a))
7.0ms
(* z (/ (* 4.5 t) a))

series45.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- (* 0.5 (* y (/ x a))) (* z (/ (* 4.5 t) a)))
3.0ms
(/ (* 4.5 t) a)
5.0ms
(* y (/ x a))
7.0ms
(* z (/ (* 4.5 t) a))

simplify42.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04982955
14982955

prune99.0ms

Filtered
71 candidates to 106 candidates (-49.3%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1060106
Fresh077
Picked011
Done022
Total10610116

Merged error: 0.0b

Counts
116 → 10

regimes1.4s

Accuracy

89.6% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 8.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03953
13953

end0.0ms

sample1.2s

Algorithm
intervals
Results
516.0ms11264×body80valid

Profiling

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