Details

Time bar (total: 4.6s)

sample59.0ms

Algorithm
intervals
Results
29.0ms401×body80valid

simplify124.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.2b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.7b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
5.0b
(* (* (* z 4.0) t) a)
18.7b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
12×*-un-lft-identity
10×prod-exp cbrt-unprod
pow-prod-down
add-sqr-sqrt add-cube-cbrt
associate-*r* add-log-exp
times-frac associate-/l*
cbrt-undiv div-exp associate-*l* *-commutative associate-/l/ distribute-lft-out
associate-+l- sub-neg flip3-- frac-2neg flip3-+ diff-log div-sub clear-num associate-/r* flip-- flip-+ div-inv
Counts
4 → 77
Calls
4 calls:
5.0ms
(* (* x 9.0) y)
4.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0ms
(* (* (* z 4.0) t) a)
10.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series317.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* x 9.0) y)
75.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
27.0ms
(* (* (* z 4.0) t) a)
196.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify71.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0491675
12345574
25002574

prune238.0ms

Filtered
89 candidates to 57 candidates (64.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New791089
Fresh000
Picked101
Done000
Total801090

Merged error: 6.9b

Counts
90 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
5.8b
(/ b (* z c))
6.9b
(/ (* a t) c)
10.4b
(/ (* x y) (* z c))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-undiv add-sqr-sqrt div-exp
10×add-cube-cbrt *-un-lft-identity
times-frac
pow1
associate-*r* associate-/r* associate-/l*
div-inv add-log-exp
frac-2neg associate-*l* clear-num
associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
8.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ b (* z c))
7.0ms
(/ (* a t) c)
6.0ms
(/ (* x y) (* z c))

series106.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* 9.0 (/ (* x y) (* z c)))
19.0ms
(/ b (* z c))
18.0ms
(/ (* a t) c)
27.0ms
(/ (* x y) (* z c))

simplify56.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0420503
12365384
25002384

prune249.0ms

Filtered
104 candidates to 62 candidates (59.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New977104
Fresh459
Picked101
Done000
Total10212114

Merged error: 0.8b

Counts
114 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ (* z c) y)
5.8b
(/ b (* z c))
6.5b
(/ x (/ (* z c) y))
6.9b
(/ (* a t) c)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
28×add-exp-log add-cbrt-cube
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×associate-/r*
11×cbrt-undiv div-exp
div-inv associate-/l*
pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
associate-/r/
Counts
4 → 111
Calls
4 calls:
4.0ms
(/ (* z c) y)
4.0ms
(/ b (* z c))
6.0ms
(/ x (/ (* z c) y))
4.0ms
(/ (* a t) c)

series88.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (* z c) y)
19.0ms
(/ b (* z c))
33.0ms
(/ x (/ (* z c) y))
18.0ms
(/ (* a t) c)

simplify51.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0457568
12237494
25001494

prune358.0ms

Filtered
123 candidates to 90 candidates (73.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1185123
Fresh3811
Picked101
Done000
Total12213135

Merged error: 0.3b

Counts
135 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

3.3b
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
4.4b
(/ (* z c) y)
5.8b
(/ b (* z c))
6.5b
(/ x (/ (* z c) y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
67×times-frac
55×add-sqr-sqrt
44×add-exp-log
39×add-cube-cbrt *-un-lft-identity
37×add-cbrt-cube
22×associate-*r*
16×cbrt-undiv div-exp
11×cbrt-prod prod-exp associate-/r* cbrt-unprod
div-inv
associate-*l* associate-/l*
pow1 unswap-sqr
add-log-exp
frac-2neg clear-num
frac-times associate-*r/ pow-prod-down associate-*l/ associate-/r/ *-commutative
Counts
4 → 149
Calls
4 calls:
15.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
5.0ms
(/ (* z c) y)
4.0ms
(/ b (* z c))
9.0ms
(/ x (/ (* z c) y))

series119.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
22.0ms
(/ (* z c) y)
19.0ms
(/ b (* z c))
31.0ms
(/ x (/ (* z c) y))

simplify81.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
07461086
13742944
25001911

prune492.0ms

Filtered
161 candidates to 119 candidates (73.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1601161
Fresh11112
Picked101
Done000
Total16212174

Merged error: 0.3b

Counts
174 → 12

regimes862.0ms

Accuracy

24.6% (7.5b remaining)

Error of 7.7b against oracle of 0.2b and baseline of 10.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06656
16656

end0.0ms

sample1.1s

Algorithm
intervals
Results
612.0ms12812×body80valid

Profiling

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