Details

Time bar (total: 29.4s)

analyze1.5s

Algorithm
search

sample45.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
8.0ms148×body80invalid

simplify129.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.9b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* x 9.0) y)
1.1b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
7.4b
(* (* (* z 4.0) t) a)
17.4b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite28.0ms

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)
10.0ms
(/ (+ (- (* (* 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)
19.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0ms
(* (* (* z 4.0) t) a)
54.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify75.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0491675
12345574
25002574

prune200.0ms

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

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New751489
Fresh000
Picked101
Done000
Total761490

Merged error: 7.4b

Counts
90 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
5.7b
(/ b (* z c))
6.1b
(/ (* a t) c)
10.3b
(/ (* 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))

series27.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* 9.0 (/ (* x y) (* z c)))
5.0ms
(/ 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 (12.0ms)

IterNodesCost
0420503
12365384
25002384

prune193.0ms

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

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New968104
Fresh4913
Picked101
Done000
Total10117118

Merged error: 0.5b

Counts
118 → 17

localize15.0ms

Local error

Found 4 expressions with local error:

5.1b
(/ x (/ (* z c) y))
5.3b
(/ (* z c) y)
5.7b
(/ b (* z c))
6.1b
(/ (* a t) c)

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

series23.0ms

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

simplify56.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0457568
12237494
25001494

prune208.0ms

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

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1194123
Fresh41216
Picked101
Done000
Total12416140

Merged error: 0.0b

Counts
140 → 16

localize15.0ms

Local error

Found 4 expressions with local error:

5.1b
(/ x (/ (* z c) y))
5.3b
(/ (* z c) y)
5.7b
(/ b (* z c))
6.9b
(* a (/ t c))

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

series26.0ms

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

simplify58.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0512616
12443542
25001542

prune120.0ms

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

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1340134
Fresh01515
Picked011
Done000
Total13416150

Merged error: 0.0b

Counts
150 → 16

regimes2.2s

Accuracy

1.3% (9.6b remaining)

Error of 9.9b against oracle of 0.3b and baseline of 10.0b

bsearch21.2s

Steps
ItersRangePoint
2
1.5937789475822595e+66
1.7947392838050682e+66
1.685172513053519e+66
9
2746.968846856873
478754184.0769629
554395.2686077823
7
3.957161647843879e-211
2.068192308458086e-209
2.4746682039209063e-210
6
-1.9248922044640566e-265
-3.531782759433951e-266
-1.0097852738766652e-265
9
-6.173854631624383e-151
-8.954437047953179e-157
-5.15422094316754e-151
10
-9.74471947797163e-139
-7.619032943814759e-149
-4.1930462201876396e-144
8
-8.613695209499529e-15
-6.800921840914636e-18
-1.12480033573026e-17

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010797
110797

end0.0ms

analyze1.5s

Algorithm
search

sample1.5s

Algorithm
intervals
Results
723.0ms8000×body80valid
281.0ms4766×body80invalid

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