Details

Time bar (total: 18.3s)

analyze1.5s

Algorithm
search

sample46.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
8.0ms146×body80invalid

simplify132.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 23.7b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.5b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.1b
(* (* (* z 4.0) t) a)
20.2b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite32.0ms

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)
14.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series83.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* x 9.0) y)
22.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0ms
(* (* (* z 4.0) t) a)
51.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify71.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0491675
12345574
25002574

prune167.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New791089
Fresh000
Picked101
Done000
Total801090

Merged error: 8.8b

Counts
90 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
6.3b
(/ b (* z c))
6.6b
(/ (* a t) c)
10.2b
(/ (* 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)
5.0ms
(/ (* x y) (* z c))

series29.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* 9.0 (/ (* x y) (* z c)))
7.0ms
(/ 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

prune154.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New977104
Fresh549
Picked101
Done000
Total10311114

Merged error: 0.5b

Counts
114 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
5.6b
(/ a (/ c t))
6.3b
(/ b (* z c))
10.2b
(/ (* x y) (* z c))

rewrite29.0ms

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

series28.0ms

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

simplify72.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0634870
13152746
25001746

prune186.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1503153
Fresh3710
Picked101
Done000
Total15410164

Merged error: 0.0b

Counts
164 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

3.6b
(/ x (/ (* z c) y))
5.0b
(/ (* z c) y)
5.6b
(/ a (/ c t))
6.3b
(/ b (* z c))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
66×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
28×add-exp-log add-cbrt-cube
24×associate-/r*
12×cbrt-undiv div-exp div-inv
10×associate-/l*
4×pow1 frac-2neg clear-num add-log-exp
3×prod-exp cbrt-unprod
2×associate-/r/
Counts
4 → 160
Calls
4 calls:
6.0ms
(/ x (/ (* z c) y))
4.0ms
(/ (* z c) y)
6.0ms
(/ a (/ c t))
4.0ms
(/ b (* z c))

series24.0ms

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

simplify69.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0670935
13037856
25001856

prune159.0ms

Filtered
132 candidates to 172 candidates (-30.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1711172
Fresh189
Picked011
Done000
Total17210182

Merged error: 0.0b

Counts
182 → 10

regimes1.4s

Accuracy

-2.1% (10.6b remaining)

Error of 10.7b against oracle of 0.1b and baseline of 10.5b

bsearch11.1s

Steps
ItersRangePoint
9
2.1647553906768003e-201
6.535897879877555e-192
2.4953142462410543e-199
1
1.7277988471876587e-210
1.895955180790103e-210
1.7698379305882696e-210
9
6.086124000824101e-252
4.428712809314433e-245
1.2973098851879563e-251
7
-1.6883357528749035e-157
-3.624096275119092e-159
-1.990106932961341e-158

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07556
17556

end0.0ms

analyze1.5s

Algorithm
search

sample1.3s

Algorithm
intervals
Results
502.0ms8000×body80valid
298.0ms4782×body80invalid

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