Details

Time bar (total: 13.4s)

sample4.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0.341297%

Space saved by search: 0.341297%

Guaranteed chance to sample good point: 0%

Results
15.0ms256×body80valid
10.0ms170×body80invalid

simplify149.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 22.1b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.3b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
5.5b
(* (* (* z 4.0) t) a)
18.5b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
12×*-un-lft-identity
10×prod-exp cbrt-unprod
9×pow-prod-down
8×add-sqr-sqrt add-cube-cbrt
6×associate-*r* add-log-exp
4×times-frac associate-/l*
2×cbrt-undiv div-exp associate-*l* *-commutative associate-/l/ distribute-lft-out
1×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))

series80.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* x 9.0) y)
18.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0ms
(* (* (* z 4.0) t) a)
52.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify69.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0491675
12345574
25002574

prune180.0ms

Filtered
57 candidates to 89 candidates (-56.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New771289
Fresh000
Picked101
Done000
Total781290

Merged error: 6.6b

Counts
90 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.4b
(/ b (* z c))
5.5b
(/ (* a t) c)
9.2b
(/ (* x y) (* z c))

rewrite24.0ms

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
8×times-frac
6×pow1
5×associate-*r* associate-/r* associate-/l*
4×div-inv add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
7.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ b (* z c))
4.0ms
(/ (* a t) c)
6.0ms
(/ (* x y) (* z c))

series26.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* 9.0 (/ (* x y) (* z c)))
5.0ms
(/ b (* z c))
5.0ms
(/ (* a t) c)
8.0ms
(/ (* x y) (* z c))

simplify57.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0420503
12365384
25002384

prune167.0ms

Filtered
62 candidates to 104 candidates (-67.7%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New977104
Fresh3811
Picked101
Done000
Total10115116

Merged error: 0.3b

Counts
116 → 15

localize22.0ms

Local error

Found 4 expressions with local error:

9.2b
(/ (* x y) (* z c))
16.9b
(cbrt (/ b (* z c)))
16.9b
(cbrt (/ b (* z c)))
16.9b
(cbrt (/ b (* z c)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
16×add-exp-log add-cbrt-cube
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
4×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp
3×cbrt-div pow1/3
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 69
Calls
4 calls:
5.0ms
(/ (* x y) (* z c))
3.0ms
(cbrt (/ b (* z c)))
3.0ms
(cbrt (/ b (* z c)))
3.0ms
(cbrt (/ b (* z c)))

series68.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ (* x y) (* z c))
22.0ms
(cbrt (/ b (* z c)))
19.0ms
(cbrt (/ b (* z c)))
19.0ms
(cbrt (/ b (* z c)))

simplify36.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0267496
11193431
25001425

prune156.0ms

Filtered
64 candidates to 81 candidates (-26.6%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New81081
Fresh01414
Picked011
Done000
Total811596

Merged error: 0.3b

Counts
96 → 15

localize19.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ b (* z c))
4.6b
(/ (* z c) y)
5.5b
(/ (* a t) c)
7.6b
(/ x (/ (* z c) y))

rewrite21.0ms

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
8×div-inv associate-/l*
4×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/r/
Counts
4 → 111
Calls
4 calls:
4.0ms
(/ b (* z c))
4.0ms
(/ (* z c) y)
4.0ms
(/ (* a t) c)
6.0ms
(/ x (/ (* z c) y))

series23.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ b (* z c))
4.0ms
(/ (* z c) y)
5.0ms
(/ (* a t) c)
9.0ms
(/ x (/ (* z c) y))

simplify50.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0457568
12237494
25001494

prune110.0ms

Filtered
90 candidates to 123 candidates (-36.7%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1212123
Fresh21113
Picked101
Done011
Total12414138

Merged error: 0.0b

Counts
138 → 14

regimes1.7s

Accuracy

28.2% (9.0b remaining)

Error of 9.3b against oracle of 0.3b and baseline of 12.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07381
17381

end0.0ms

sample5.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0.341297%

Space saved by search: 0.341297%

Guaranteed chance to sample good point: 0%

Results
479.0ms8000×body80valid
281.0ms4710×body80invalid

Profiling

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