Details

Time bar (total: 4.9s)

sample144.0ms

Algorithm
intervals
Results
28.0ms416×body80valid

simplify126.0ms

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: 20.3b

Counts
2 → 1

localize13.0ms

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))
6.0b
(* (* (* z 4.0) t) a)
17.0b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite42.0ms

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:
9.0ms
(* (* x 9.0) y)
8.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
12.0ms
(* (* (* z 4.0) t) a)
10.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series215.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (* x 9.0) y)
20.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0ms
(* (* (* z 4.0) t) a)
185.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify69.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0491675
12345574
25002574

prune156.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New80989
Fresh000
Picked101
Done000
Total81990

Merged error: 7.5b

Counts
90 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.1b
(/ b (* z c))
7.0b
(/ (* a t) c)
7.5b
(/ (* 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)
5.0ms
(/ (* x y) (* z c))

series28.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* 9.0 (/ (* x y) (* z c)))
5.0ms
(/ b (* z c))
5.0ms
(/ (* a t) c)
8.0ms
(/ (* x y) (* z c))

simplify56.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0420503
12365384
25002384

prune152.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New968104
Fresh448
Picked101
Done000
Total10112113

Merged error: 0.3b

Counts
113 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt c) (cbrt c))
3.5b
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
4.1b
(/ b (* z c))
7.5b
(/ (* x y) (* z c))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
44×add-exp-log
35×add-cbrt-cube
32×times-frac
29×add-cube-cbrt *-un-lft-identity
28×associate-*r*
27×cbrt-prod
14×prod-exp cbrt-unprod
13×pow1 cbrt-undiv div-exp associate-*l*
10×unswap-sqr
6×pow1/3 swap-sqr
4×div-inv associate-/l* add-log-exp
3×pow-prod-down
2×frac-2neg clear-num associate-/r* pow-sqr *-commutative pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/
Counts
4 → 141
Calls
4 calls:
5.0ms
(* (cbrt c) (cbrt c))
15.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
4.0ms
(/ b (* z c))
5.0ms
(/ (* x y) (* z c))

series48.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt c) (cbrt c))
10.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
5.0ms
(/ b (* z c))
8.0ms
(/ (* x y) (* z c))

simplify97.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
07051009
13843861
25002805

prune180.0ms

Filtered
98 candidates to 153 candidates (-56.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1521153
Fresh2911
Picked101
Done000
Total15510165

Merged error: 0.0b

Counts
165 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.1b
(/ b (* z c))
5.3b
(/ a (/ c t))
7.5b
(/ (* x y) (* z c))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
52×add-sqr-sqrt
50×add-cube-cbrt *-un-lft-identity
44×add-exp-log add-cbrt-cube
15×associate-/r*
14×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
8×div-inv
7×associate-/l*
6×pow1
5×associate-*r*
4×add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down associate-/r/ *-commutative unswap-sqr
Counts
4 → 141
Calls
4 calls:
7.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ b (* z c))
5.0ms
(/ a (/ c t))
5.0ms
(/ (* x y) (* z c))

series29.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* 9.0 (/ (* x y) (* z c)))
5.0ms
(/ b (* z c))
6.0ms
(/ a (/ c t))
8.0ms
(/ (* x y) (* z c))

simplify74.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0634870
13152746
25001746

prune134.0ms

Filtered
104 candidates to 153 candidates (-47.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1512153
Fresh279
Picked101
Done000
Total1549163

Merged error: 0.0b

Counts
163 → 9

regimes1.3s

Accuracy

8.5% (10.2b remaining)

Error of 10.4b against oracle of 0.1b and baseline of 11.3b

bsearch230.0ms

Steps
ItersRangePoint
7
1.2567845954061696e+103
1.6804378555159818e+105
9.548612318502768e+104
8
1.8828928815540617e+29
1.0895649112291198e+33
1.816374351258568e+30
7
1.1658185959443178e-125
1.8698854711195907e-124
7.938596938477321e-125
8
-4.323342398503372e-92
-8.984743248136116e-97
-1.3850054847929775e-92
8
-6.808250179712502e+143
-2.091225626739947e+140
-6.719481697948842e+143
9
-1.4489144774401616e+177
-6.05010799455117e+170
-3.923055202345456e+175

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08876
18876

end0.0ms

sample1.6s

Algorithm
intervals
Results
786.0ms12779×body80valid

Profiling

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