Details

Time bar (total: 10.4s)

sample33.0ms

Algorithm
intervals
Results
12.0ms195×body80valid
4.0ms14×body1280valid
3.0ms23×body320valid
3.0ms17×body640valid
1.0ms7×body160valid

simplify979.0ms

Counts
1 → 1
Iterations
IterNodes
done2000
81683
71107
6562
5259
4129
373
233
116
08

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x 1.0) (+ 1.0 y))
14.3b
(fma y (/ (- x 1.0) (+ 1.0 y)) 1.0)

rewrite30.0ms

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/ insert-posit16 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 → 60
Calls
2 calls:
28.0ms
(/ (- x 1.0) (+ 1.0 y))
0.0ms
(fma y (/ (- x 1.0) (+ 1.0 y)) 1.0)

series118.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- x 1.0) (+ 1.0 y))
66.0ms
(fma y (/ (- x 1.0) (+ 1.0 y)) 1.0)

simplify747.0ms

Counts
66 → 66
Iterations
IterNodes
done2000
2876
1283
0115

prune319.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ 1.0 y))
0.2b
(cbrt (+ 1.0 y))
0.3b
(* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))
14.2b
(fma y (/ (/ (- x 1.0) (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))) (cbrt (+ 1.0 y))) 1.0)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod *-un-lft-identity
22×add-sqr-sqrt
16×cbrt-div
14×add-cube-cbrt
11×pow1
9×swap-sqr
8×flip3-+ pow1/3 flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 101
Calls
4 calls:
3.0ms
(cbrt (+ 1.0 y))
3.0ms
(cbrt (+ 1.0 y))
23.0ms
(* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))
0.0ms
(fma y (/ (/ (- x 1.0) (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))) (cbrt (+ 1.0 y))) 1.0)

series512.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(cbrt (+ 1.0 y))
155.0ms
(cbrt (+ 1.0 y))
153.0ms
(* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))
81.0ms
(fma y (/ (/ (- x 1.0) (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))) (cbrt (+ 1.0 y))) 1.0)

simplify760.0ms

Counts
113 → 113
Iterations
IterNodes
done2000
21003
1402
0172

prune691.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.5b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x 1.0) (+ y 1.0))
0.1b
(* y (/ (- x 1.0) (+ y 1.0)))
4.6b
(+ (* y (/ (- x 1.0) (+ y 1.0))) 1.0)

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
48×add-sqr-sqrt
41×times-frac
26×associate-*r*
25×add-cube-cbrt
11×distribute-lft-out
10×add-cbrt-cube add-exp-log
9×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
4×associate-/r* associate-/r/
3×expm1-log1p-u flip3-+ associate-*l* flip-+ insert-posit16 log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×+-commutative clear-num sum-log fma-def frac-2neg flip3-- div-sub pow-prod-down associate-*r/ *-commutative flip--
Counts
3 → 112
Calls
3 calls:
17.0ms
(/ (- x 1.0) (+ y 1.0))
39.0ms
(* y (/ (- x 1.0) (+ y 1.0)))
32.0ms
(+ (* y (/ (- x 1.0) (+ y 1.0))) 1.0)

series244.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (- x 1.0) (+ y 1.0))
87.0ms
(* y (/ (- x 1.0) (+ y 1.0)))
118.0ms
(+ (* y (/ (- x 1.0) (+ y 1.0))) 1.0)

simplify980.0ms

Counts
121 → 121
Iterations
IterNodes
done2000
21578
1471
0170

prune521.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.5b

localize48.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (/ (- x 1.0) (+ y 1.0)))
0.4b
(cbrt (/ (- x 1.0) (+ y 1.0)))
0.4b
(cbrt (/ (- x 1.0) (+ y 1.0)))
10.0b
(+ (* (* y (* (cbrt (/ (- x 1.0) (+ y 1.0))) (cbrt (/ (- x 1.0) (+ y 1.0))))) (cbrt (/ (- x 1.0) (+ y 1.0)))) 1.0)

rewrite270.0ms

Algorithm
rewrite-expression-head
Rules
88×*-un-lft-identity
78×cbrt-prod
60×times-frac
58×add-sqr-sqrt
34×add-cube-cbrt
15×distribute-lft-out
12×distribute-lft-out-- difference-of-squares
6×associate-/r/ add-log-exp
4×expm1-log1p-u pow1 flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u
3×cbrt-div pow1/3 div-inv
1×+-commutative sum-log fma-def
Counts
4 → 129
Calls
4 calls:
12.0ms
(cbrt (/ (- x 1.0) (+ y 1.0)))
13.0ms
(cbrt (/ (- x 1.0) (+ y 1.0)))
11.0ms
(cbrt (/ (- x 1.0) (+ y 1.0)))
230.0ms
(+ (* (* y (* (cbrt (/ (- x 1.0) (+ y 1.0))) (cbrt (/ (- x 1.0) (+ y 1.0))))) (cbrt (/ (- x 1.0) (+ y 1.0)))) 1.0)

series551.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(cbrt (/ (- x 1.0) (+ y 1.0)))
142.0ms
(cbrt (/ (- x 1.0) (+ y 1.0)))
109.0ms
(cbrt (/ (- x 1.0) (+ y 1.0)))
175.0ms
(+ (* (* y (* (cbrt (/ (- x 1.0) (+ y 1.0))) (cbrt (/ (- x 1.0) (+ y 1.0))))) (cbrt (/ (- x 1.0) (+ y 1.0)))) 1.0)

simplify870.0ms

Counts
141 → 141
Iterations
IterNodes
done2001
2977
1394
0172

prune732.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.5b

regimes202.0ms

Accuracy

96.8% (0.2b remaining)

Error of 7.4b against oracle of 7.1b and baseline of 14.9b

bsearch192.0ms

Steps
ItersRangePoint
7
9.350013159855062e+31
2.032094385037816e+34
4.471669177154523e+32
10
-121993772661.31783
-0.22068356154967622
-120684821833.98685

simplify12.0ms

Iterations
IterNodes
done34
134
025

end0.0ms

sample1.4s

Algorithm
intervals
Results
558.0ms6097×body80valid
250.0ms747×body640valid
234.0ms358×body1280valid
104.0ms505×body320valid
43.0ms293×body160valid