Details

Time bar (total: 23.7s)

analyze1.7s

Algorithm
search

sample50.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
10.0ms149×body80invalid

simplify130.0ms

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: 18.6b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
0.2b
(* (* x 9.0) y)
6.7b
(* (* (* z 4.0) t) a)
15.7b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite26.0ms

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

series120.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0ms
(* (* x 9.0) y)
11.0ms
(* (* (* z 4.0) t) a)
69.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify110.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
0491675
12345574
25002574

prune244.0ms

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

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New741589
Fresh000
Picked101
Done000
Total751590

Merged error: 5.8b

Counts
90 → 15

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
5.4b
(/ b (* z c))
5.5b
(/ (* a t) c)
8.4b
(/ (* x y) (* z c))

rewrite23.0ms

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))

series25.0ms

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))

simplify52.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0420503
12365384
25002384

prune180.0ms

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

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New9410104
Fresh10414
Picked101
Done000
Total10514119

Merged error: 0.1b

Counts
119 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
5.3b
(/ a (/ c t))
5.4b
(/ b (* z c))
8.4b
(/ (* x y) (* z c))

rewrite28.0ms

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)))
5.0ms
(/ a (/ c t))
4.0ms
(/ b (* z 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
(/ a (/ c t))
5.0ms
(/ b (* z c))
7.0ms
(/ (* x y) (* z c))

simplify75.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0634870
13152746
25001746

prune197.0ms

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

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1521153
Fresh21113
Picked011
Done000
Total15413167

Merged error: 0.1b

Counts
167 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

3.8b
(/ (* z c) y)
5.4b
(/ b (* z c))
5.5b
(/ (* a t) c)
5.5b
(/ 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:
6.0ms
(/ (* z c) y)
4.0ms
(/ b (* z c))
4.0ms
(/ (* a t) c)
9.0ms
(/ x (/ (* z c) y))

simplify49.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0457568
12237494
25001494

prune117.0ms

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

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1221123
Fresh01111
Picked011
Done011
Total12214136

Merged error: 0.0b

Counts
136 → 14

regimes1.7s

Accuracy

5% (10.1b remaining)

Error of 10.5b against oracle of 0.4b and baseline of 11.0b

bsearch15.4s

Steps
ItersRangePoint
9
3.546257961000708e+220
4.4564653260568884e+226
7.831889214975256e+225
9
6.020417315413235e+73
4.490608801897303e+78
3.4153001191145707e+77
7
2.9878604087600776e-153
7.811112080249643e-152
7.162481485317363e-153
9
-3.306660032422445e-118
-8.926271716928207e-126
-3.4306549152910225e-125

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07255
17255

end0.0ms

analyze1.9s

Algorithm
search

sample1.3s

Algorithm
intervals
Results
531.0ms8000×body80valid
316.0ms4656×body80invalid

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