Details

Time bar (total: 11.9s)

sample3.4s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 33.618164%

Guaranteed chance to sample good point: 8.417617%

Results
16.0ms256×body80valid
10.0ms158×body80invalid

simplify138.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.6b

Counts
2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
0.4b
(* (* x 9.0) y)
4.3b
(* (* (* z 4.0) t) a)
13.9b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite53.0ms

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:
8.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
8.0ms
(* (* x 9.0) y)
12.0ms
(* (* (* z 4.0) t) a)
18.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series132.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0ms
(* (* x 9.0) y)
12.0ms
(* (* (* z 4.0) t) a)
93.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify71.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0491675
12345574
25002574

prune205.0ms

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

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New751489
Fresh000
Picked101
Done000
Total761490

Merged error: 7.5b

Counts
90 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.7b
(/ (* a t) c)
4.8b
(/ b (* z c))
10.7b
(/ (* x y) (* z c))

rewrite26.0ms

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:
8.0ms
(* 9.0 (/ (* x y) (* z c)))
6.0ms
(/ (* a t) c)
4.0ms
(/ b (* z c))
6.0ms
(/ (* x y) (* z c))

series29.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* 9.0 (/ (* x y) (* z c)))
5.0ms
(/ (* a t) c)
5.0ms
(/ b (* z c))
11.0ms
(/ (* x y) (* z c))

simplify55.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0420503
12365384
25002384

prune192.0ms

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

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New959104
Fresh6713
Picked101
Done000
Total10216118

Merged error: 0.8b

Counts
118 → 16

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ 1 (/ (* z c) (* x y)))
4.7b
(/ (* a t) c)
4.8b
(/ b (* z c))
10.7b
(/ (* z c) (* x y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
70×add-exp-log
44×add-cbrt-cube
30×div-exp
26×times-frac
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp
17×cbrt-undiv
10×associate-/r* cbrt-unprod
8×div-inv associate-/l*
5×pow1 rec-exp 1-exp
4×frac-2neg clear-num add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
4 → 119
Calls
4 calls:
7.0ms
(/ 1 (/ (* z c) (* x y)))
4.0ms
(/ (* a t) c)
4.0ms
(/ b (* z c))
6.0ms
(/ (* z c) (* x y))

series26.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ 1 (/ (* z c) (* x y)))
5.0ms
(/ (* a t) c)
5.0ms
(/ b (* z c))
8.0ms
(/ (* z c) (* x y))

simplify60.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0487675
12599549
25002524

prune178.0ms

Filtered
67 candidates to 131 candidates (-95.5%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1292131
Fresh21315
Picked011
Done000
Total13116147

Merged error: 0.7b

Counts
147 → 16

localize17.0ms

Local error

Found 4 expressions with local error:

3.4b
(/ (* z c) x)
4.7b
(/ (* a t) c)
4.8b
(/ b (* z c))
6.5b
(/ (/ (* z c) x) y)

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

series21.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ (* z c) x)
4.0ms
(/ (* a t) c)
5.0ms
(/ b (* z c))
7.0ms
(/ (/ (* z c) x) y)

simplify51.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0469563
12180488
25001488

prune122.0ms

Filtered
87 candidates to 123 candidates (-41.4%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1212123
Fresh11314
Picked101
Done101
Total12415139

Merged error: 0.2b

Counts
139 → 15

regimes1.9s

Accuracy

1% (9.5b remaining)

Error of 9.6b against oracle of 0.1b and baseline of 9.7b

bsearch1.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
06468
16768
27332
37632
48232
59332
610032
710132
810132

end0.0ms

sample5.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 33.618164%

Guaranteed chance to sample good point: 8.417617%

Results
529.0ms8000×body80valid
350.0ms5431×body80invalid

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