Details

Time bar (total: 1.2min)

sample32.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results
15.0ms256×body80valid
9.0ms164×body80invalid

simplify125.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 23.8b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.7b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
7.0b
(* (* (* z 4.0) t) a)
17.9b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite30.0ms

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

series84.0ms

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)
52.0ms
(/ (+ (- (* (* 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

prune200.0ms

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: 7.4b

Counts
90 → 15

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
5.0b
(/ b (* z c))
7.0b
(/ (* a t) c)
8.8b
(/ (* x y) (* z c))

rewrite25.0ms

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

series27.0ms

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))

simplify57.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0420503
12365384
25002384

prune171.0ms

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

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New968104
Fresh8614
Picked101
Done000
Total10514119

Merged error: 1.0b

Counts
119 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

3.5b
(/ (* z c) y)
5.0b
(/ b (* z c))
6.1b
(/ x (/ (* z c) y))
7.0b
(/ (* a t) c)

rewrite24.0ms

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

series23.0ms

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

simplify51.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0457568
12237494
25001494

prune182.0ms

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

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1203123
Fresh31013
Picked101
Done000
Total12413137

Merged error: 0.0b

Counts
137 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

3.5b
(/ (* z c) y)
5.0b
(/ b (* z c))
5.7b
(* a (/ t c))
6.1b
(/ x (/ (* z c) y))

rewrite26.0ms

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

series24.0ms

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

simplify55.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0512616
12443542
25001542

prune116.0ms

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

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1331134
Fresh01212
Picked011
Done000
Total13314147

Merged error: 0.0b

Counts
147 → 14

regimes1.8s

Accuracy

5.1% (9.6b remaining)

Error of 9.7b against oracle of 0.1b and baseline of 10.3b

bsearch635.0ms

Steps
ItersRangePoint
8
3.8425351982130684e+284
1.0069379670118323e+289
9.788797891790952e+288
9
2.1229985234922052e+38
2.1885949331596344e+45
2.3506571094433586e+39
10
9.904049465339588e-157
2.6488445120813727e-146
4.3831626515963193e-156
9
1.3815205992797982e-185
1.364930201866452e-180
1.4271930213022396e-183
9
9.969450116406066e-225
9.14942965944398e-218
6.133833892194774e-218
9
-2.763711154984044e-211
-4.97811242647409e-219
-3.5511642756597985e-215
10
-2.2820490859048333e-100
-7.304998274159607e-112
-4.125330149723708e-111

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0102101
1102101

end0.0ms

sample35.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results
479.0ms8000×body80valid
280.0ms4824×body80invalid

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