Details

Time bar (total: 20.5s)

sample39.0ms

Algorithm
intervals
Results
18.0ms193×body80valid
3.0ms20×body640valid
2.0ms20×body320valid
2.0ms11×body1280valid
1.0ms12×body160valid

simplify3.6s

Counts
1 → 1
Iterations
IterNodes
done5002
134169
123568
113113
102621
92078
81683
71107
6562
5259
4129
373
233
116
08

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.7b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x 1.0) (+ 1.0 y))
14.9b
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
23×add-sqr-sqrt
20×times-frac
13×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r* add-cbrt-cube add-exp-log
2×expm1-log1p-u pow1 associate-/r/ log1p-expm1-u add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp flip-+ fma-udef div-inv flip--
Counts
2 → 58
Calls
2 calls:
41.0ms
(/ (- x 1.0) (+ 1.0 y))
1.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

series160.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- x 1.0) (+ 1.0 y))
106.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

simplify2.5s

Counts
64 → 64
Iterations
IterNodes
done5000
33520
2878
1282
0114

prune329.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)) (cbrt (fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)))
14.9b
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
14.9b
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
14.9b
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×cbrt-prod
12×*-un-lft-identity add-cube-cbrt
11×pow1
6×pow1/3 swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×fma-udef
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 72
Calls
4 calls:
14.0ms
(* (cbrt (fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)) (cbrt (fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)))
0.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
0.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
0.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

series856.0ms

Counts
4 → 12
Calls
4 calls:
507.0ms
(* (cbrt (fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)) (cbrt (fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)))
151.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
94.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
103.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

simplify2.2s

Counts
84 → 84
Iterations
IterNodes
done5006
31615
2594
1227
097

prune578.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize172.0ms

Local error

Found 4 expressions with local error:

14.9b
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
14.9b
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
14.9b
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
14.9b
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
4 → 40
Calls
4 calls:
0.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
0.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
0.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
2.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

series431.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
140.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
97.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
85.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

simplify3.3s

Counts
52 → 52
Iterations
IterNodes
done5008
42483
3510
2167
162
029

prune481.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize203.0ms

Local error

Found 4 expressions with local error:

14.9b
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
14.9b
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
14.9b
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
14.9b
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
4 → 40
Calls
4 calls:
0.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
0.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
0.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
0.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

series433.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
108.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
114.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
91.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

simplify3.1s

Counts
52 → 52
Iterations
IterNodes
done5008
42483
3510
2167
162
029

prune523.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

regimes310.0ms

Accuracy

97.9% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 15.1b

bsearch72.0ms

Steps
ItersRangePoint
10
4.9803363081918155
422514113030.77625
32042329.830661833
5
-2.085807323628561e+25
-8.665460962243007e+24
-8.76265571073903e+24

simplify3.0ms

Iterations
IterNodes
done26
126
019

end0.0ms

sample1.0s

Algorithm
intervals
Results
376.0ms6102×body80valid
269.0ms744×body640valid
71.0ms336×body1280valid
68.0ms538×body320valid
23.0ms280×body160valid