Details

Time bar (total: 4.8s)

sample57.0ms

Algorithm
intervals
Results
21.0ms390×body80valid

simplify131.0ms

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: 18.5b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z 4.0) t)
0.3b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
5.1b
(* (* (* z 4.0) t) a)
15.4b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite27.0ms

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
(* (* z 4.0) t)
4.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0ms
(* (* (* z 4.0) t) a)
10.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series81.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* z 4.0) t)
18.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0ms
(* (* (* z 4.0) t) a)
53.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify64.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0446680
12162574
25001574

prune183.0ms

Filtered
55 candidates to 89 candidates (-61.8%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New751489
Fresh000
Picked101
Done000
Total761490

Merged error: 5.4b

Counts
90 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 9.0 (/ (* x y) (* z c)))
4.8b
(/ b (* z c))
7.0b
(/ (* a t) c)
8.8b
(/ (* 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))

series26.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ b (* z c))
5.0ms
(/ (* a t) c)
7.0ms
(/ (* x y) (* z c))

simplify58.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0420503
12365384
25002384

prune163.0ms

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

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New986104
Fresh5813
Picked101
Done000
Total10414118

Merged error: 0.7b

Counts
118 → 14

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 9.0 (/ (* x y) (* z c)))
4.4b
(/ a (/ c t))
4.8b
(/ b (* z c))
8.8b
(/ (* x y) (* z c))

rewrite27.0ms

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))
5.0ms
(/ (* 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))

simplify73.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0634870
13152746
25001746

prune196.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1494153
Fresh5813
Picked101
Done000
Total15512167

Merged error: 0.0b

Counts
167 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

3.9b
(/ (* z c) y)
4.4b
(/ a (/ c t))
4.8b
(/ b (* z c))
6.3b
(/ x (/ (* z c) y))

rewrite25.0ms

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:
5.0ms
(/ (* z c) y)
5.0ms
(/ a (/ c t))
4.0ms
(/ b (* z c))
6.0ms
(/ x (/ (* z c) y))

series25.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ (* z c) y)
5.0ms
(/ a (/ c t))
5.0ms
(/ b (* z c))
8.0ms
(/ x (/ (* z c) y))

simplify70.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0670935
13037856
25001856

prune172.0ms

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

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1702172
Fresh11011
Picked011
Done000
Total17113184

Merged error: 0.0b

Counts
184 → 13

regimes1.5s

Accuracy

24.7% (7.3b remaining)

Error of 7.6b against oracle of 0.3b and baseline of 10.0b

bsearch88.0ms

Steps
ItersRangePoint
11
1.2365793815322157e-65
2.4044003054525675e-38
2.0754904640767998e-39
7
-4579.616410621801
-178.64679090478634
-417.69386984956265

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04822
14822

end0.0ms

sample1.6s

Algorithm
intervals
Results
721.0ms12930×body80valid

Profiling

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