Details

Time bar (total: 22.8s)

sample41.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify80.0ms

Counts
1 → 1
Iterations
IterNodes
done18
518
417
315
212
110
06

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize32.0ms

Local error

Found 1 expressions with local error:

8.3b
(/ (* x y) (+ y 1.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-cbrt-cube add-exp-log
4×associate-/r* times-frac
3×add-sqr-sqrt add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out
1×expm1-log1p-u pow1 clear-num frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 28
Calls
1 calls:
25.0ms
(/ (* x y) (+ y 1.0))

series89.0ms

Counts
1 → 3
Calls
1 calls:
89.0ms
(/ (* x y) (+ y 1.0))

simplify5.9s

Counts
31 → 31
Iterations
IterNodes
done5016
33797
2811
1212
075

prune331.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

7.1b
(cbrt (/ (* x y) (+ y 1.0)))
8.3b
(/ (* x y) (+ y 1.0))
8.3b
(/ (* x y) (+ y 1.0))
8.3b
(/ (* x y) (+ y 1.0))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
19×add-cbrt-cube add-exp-log
16×times-frac
12×add-sqr-sqrt associate-/r* add-cube-cbrt
10×cbrt-prod
8×associate-/r/
7×distribute-lft-out
6×cbrt-undiv div-exp
4×expm1-log1p-u pow1 flip3-+ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
3×clear-num frac-2neg prod-exp cbrt-unprod associate-/l*
1×cbrt-div pow1/3
Counts
4 → 106
Calls
4 calls:
11.0ms
(cbrt (/ (* x y) (+ y 1.0)))
30.0ms
(/ (* x y) (+ y 1.0))
22.0ms
(/ (* x y) (+ y 1.0))
32.0ms
(/ (* x y) (+ y 1.0))

series618.0ms

Counts
4 → 12
Calls
4 calls:
322.0ms
(cbrt (/ (* x y) (+ y 1.0)))
77.0ms
(/ (* x y) (+ y 1.0))
93.0ms
(/ (* x y) (+ y 1.0))
126.0ms
(/ (* x y) (+ y 1.0))

simplify2.8s

Counts
118 → 118
Iterations
IterNodes
done5001
21268
1374
0149

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize216.0ms

Local error

Found 4 expressions with local error:

7.1b
(cbrt (/ (* x y) (+ y 1.0)))
7.1b
(cbrt (/ (* x y) (+ y 1.0)))
8.3b
(/ (* x y) (+ y 1.0))
8.3b
(/ (* x y) (+ y 1.0))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
20×cbrt-prod
16×times-frac
14×add-cbrt-cube add-exp-log
12×add-sqr-sqrt add-cube-cbrt
8×associate-/r* associate-/r/
6×distribute-lft-out
4×expm1-log1p-u pow1 cbrt-undiv flip3-+ div-exp flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
2×cbrt-div clear-num frac-2neg pow1/3 prod-exp cbrt-unprod associate-/l*
Counts
4 → 100
Calls
4 calls:
11.0ms
(cbrt (/ (* x y) (+ y 1.0)))
11.0ms
(cbrt (/ (* x y) (+ y 1.0)))
44.0ms
(/ (* x y) (+ y 1.0))
45.0ms
(/ (* x y) (+ y 1.0))

series848.0ms

Counts
4 → 12
Calls
4 calls:
373.0ms
(cbrt (/ (* x y) (+ y 1.0)))
303.0ms
(cbrt (/ (* x y) (+ y 1.0)))
80.0ms
(/ (* x y) (+ y 1.0))
92.0ms
(/ (* x y) (+ y 1.0))

simplify2.6s

Counts
112 → 112
Iterations
IterNodes
done5001
21268
1374
0149

prune1.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ x y) (- (/ 1.0 y) 1.0) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
1.0ms
(fma (/ x y) (- (/ 1.0 y) 1.0) x)

series106.0ms

Counts
1 → 3
Calls
1 calls:
106.0ms
(fma (/ x y) (- (/ 1.0 y) 1.0) x)

simplify4.4s

Counts
14 → 14
Iterations
IterNodes
done5072
42104
3418
2125
152
027

prune144.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes571.0ms

Accuracy

99% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 7.8b

bsearch176.0ms

Steps
ItersRangePoint
9
94859.26993337883
238702944844.10663
257574.27222550486
11
-1.884313823524989e+71
-2.971125736392027e+46
-3.7521480753717866e+46

simplify9.0ms

Iterations
IterNodes
done21
121
016

end0.0ms

sample631.0ms

Algorithm
intervals
Results
370.0ms8000×body80valid