Details

Time bar (total: 11.0s)

sample3.4s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 39.453125%

Results
14.0ms256×body80valid
9.0ms151×body80invalid

simplify128.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 23.4b

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))
6.5b
(* (* (* z 4.0) t) a)
18.6b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite29.0ms

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

series79.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* x 9.0) y)
20.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0ms
(* (* (* z 4.0) t) a)
49.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify70.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0491675
12345574
25002574

prune183.0ms

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

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New761389
Fresh000
Picked101
Done000
Total771390

Merged error: 7.1b

Counts
90 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.8b
(/ b (* z c))
5.5b
(/ (* a t) c)
10.2b
(/ (* x y) (* z c))

rewrite25.0ms

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
(/ b (* z c))
4.0ms
(/ (* a t) c)
5.0ms
(/ (* x y) (* z c))

series26.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ b (* z c))
4.0ms
(/ (* a t) c)
7.0ms
(/ (* x y) (* z c))

simplify56.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0420503
12365384
25002384

prune164.0ms

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

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New9410104
Fresh8412
Picked101
Done000
Total10314117

Merged error: 0.5b

Counts
117 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

3.4b
(/ (* z c) y)
4.8b
(/ b (* z c))
5.5b
(/ (* a t) c)
7.7b
(/ 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
(/ (* z c) y)
4.0ms
(/ b (* z c))
4.0ms
(/ (* a t) c)
6.0ms
(/ x (/ (* z c) y))

series24.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ (* z c) y)
4.0ms
(/ b (* z c))
6.0ms
(/ (* a t) c)
8.0ms
(/ x (/ (* z c) y))

simplify50.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0457568
12237494
25001494

prune170.0ms

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

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1212123
Fresh31013
Picked011
Done000
Total12413137

Merged error: 0.0b

Counts
137 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

3.4b
(/ (* z c) y)
4.8b
(/ b (* z c))
5.0b
(* a (/ t c))
7.7b
(/ x (/ (* z c) y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
49×times-frac
37×add-sqr-sqrt
32×add-cube-cbrt *-un-lft-identity
28×add-exp-log add-cbrt-cube
13×associate-*r*
11×associate-/r*
10×cbrt-undiv div-exp
8×div-inv
7×associate-/l*
6×pow1
5×prod-exp cbrt-unprod
4×add-log-exp
3×frac-2neg associate-*l* clear-num
2×unswap-sqr
1×associate-*r/ pow-prod-down associate-/r/ *-commutative
Counts
4 → 122
Calls
4 calls:
4.0ms
(/ (* z c) y)
4.0ms
(/ b (* z c))
6.0ms
(* a (/ t c))
6.0ms
(/ x (/ (* z c) y))

series24.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ (* z c) y)
4.0ms
(/ b (* z c))
4.0ms
(* a (/ t c))
8.0ms
(/ x (/ (* z c) y))

simplify55.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0512616
12443542
25001542

prune115.0ms

Filtered
96 candidates to 134 candidates (-39.6%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1331134
Fresh11011
Picked011
Done011
Total13413147

Merged error: 0.0b

Counts
147 → 13

regimes1.5s

Accuracy

13.9% (9.2b remaining)

Error of 9.3b against oracle of 0.1b and baseline of 10.8b

bsearch134.0ms

Steps
ItersRangePoint
9
3.772784506154577e+193
4.2987459073076085e+198
2.0727243079836234e+198
9
9.441857581338357e-87
5.4160249877779626e-80
5.3421256748814415e-80
9
-3.4040770010268437e+50
-2.1676410399783334e+45
-2.4449453549594433e+48

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05944
15944

end0.0ms

sample4.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 39.453125%

Results
466.0ms8000×body80valid
279.0ms4696×body80invalid

Profiling

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