Details

Time bar (total: 12.4s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify13.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

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:
33.0ms
(/ (* x y) (+ y 1.0))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(/ (* x y) (+ y 1.0))

simplify2.6s

Counts
31 → 31
Iterations
IterNodes
done5107
33791
2803
1212
075

prune166.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

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))

rewrite131.0ms

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:
15.0ms
(cbrt (/ (* x y) (+ y 1.0)))
34.0ms
(/ (* x y) (+ y 1.0))
35.0ms
(/ (* x y) (+ y 1.0))
42.0ms
(/ (* x y) (+ y 1.0))

series448.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(cbrt (/ (* x y) (+ y 1.0)))
63.0ms
(/ (* x y) (+ y 1.0))
60.0ms
(/ (* x y) (+ y 1.0))
91.0ms
(/ (* x y) (+ y 1.0))

simplify1.9s

Counts
118 → 118
Iterations
IterNodes
done5001
21272
1374
0149

prune654.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize68.0ms

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))

rewrite105.0ms

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)))
14.0ms
(cbrt (/ (* x y) (+ y 1.0)))
35.0ms
(/ (* x y) (+ y 1.0))
43.0ms
(/ (* x y) (+ y 1.0))

series658.0ms

Counts
4 → 12
Calls
4 calls:
253.0ms
(cbrt (/ (* x y) (+ y 1.0)))
230.0ms
(cbrt (/ (* x y) (+ y 1.0)))
94.0ms
(/ (* x y) (+ y 1.0))
82.0ms
(/ (* x y) (+ y 1.0))

simplify1.4s

Counts
112 → 112
Iterations
IterNodes
done5001
21272
1374
0149

prune817.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize20.0ms

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:
0.0ms
(fma (/ x y) (- (/ 1.0 y) 1.0) x)

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(fma (/ x y) (- (/ 1.0 y) 1.0) x)

simplify2.2s

Counts
14 → 14
Iterations
IterNodes
done5080
41983
3418
2125
152
027

prune77.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes197.0ms

Accuracy

99% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 7.3b

bsearch111.0ms

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

simplify6.0ms

Iterations
IterNodes
done21
121
016

end0.0ms

sample573.0ms

Algorithm
intervals
Results
410.0ms8000×body80valid