Details

Time bar (total: 6.9s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify25.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (11.0ms)

IterNodesCost
0911
11511
22211
32610
42910
53010
done3010

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x y) 2.0)
8.7b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
15×times-frac
13×add-sqr-sqrt add-cube-cbrt
9×add-exp-log add-cbrt-cube
7×associate-/r*
4×distribute-lft-out associate-/l*
3×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u div-inv add-log-exp
1×flip3-+ prod-exp cbrt-unprod flip-+
Counts
2 → 58
Calls
2 calls:
11.0ms
(/ (* x y) 2.0)
23.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (* x y) 2.0)
90.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify783.0ms

Counts
64 → 64
Iterations

Useful iterations: done (780.0ms)

IterNodesCost
0132802
1326759
21723705
done5002658

prune179.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
8.7b
(/ (fma (/ x 2.0) y 1.0) y)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 107
Calls
2 calls:
12.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
5.0ms
(/ (fma (/ x 2.0) y 1.0) y)

series160.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
74.0ms
(/ (fma (/ x 2.0) y 1.0) y)

simplify1.1s

Counts
113 → 113
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01842005
14451781
220481689
done50011564

prune288.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ y (sqrt (fma (/ x 2.0) y 1.0)))
0.1b
(* (/ 1 (sqrt (fma (/ x 2.0) y 1.0))) (/ y (sqrt (fma (/ x 2.0) y 1.0))))
5.2b
(sqrt (fma (/ x 2.0) y 1.0))
5.2b
(sqrt (fma (/ x 2.0) y 1.0))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
28×add-exp-log
22×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
9×div-exp
8×pow1 prod-exp
6×associate-/r*
5×cbrt-undiv
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 156
Calls
4 calls:
6.0ms
(/ y (sqrt (fma (/ x 2.0) y 1.0)))
50.0ms
(* (/ 1 (sqrt (fma (/ x 2.0) y 1.0))) (/ y (sqrt (fma (/ x 2.0) y 1.0))))
2.0ms
(sqrt (fma (/ x 2.0) y 1.0))
2.0ms
(sqrt (fma (/ x 2.0) y 1.0))

series498.0ms

Counts
4 → 12
Calls
4 calls:
229.0ms
(/ y (sqrt (fma (/ x 2.0) y 1.0)))
63.0ms
(* (/ 1 (sqrt (fma (/ x 2.0) y 1.0))) (/ y (sqrt (fma (/ x 2.0) y 1.0))))
101.0ms
(sqrt (fma (/ x 2.0) y 1.0))
104.0ms
(sqrt (fma (/ x 2.0) y 1.0))

simplify2.4s

Counts
168 → 168
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02273583
16593314
237632951
done50012943

prune486.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11212
done1212

end0.0ms

sample719.0ms

Algorithm
intervals
Results
438.0ms7997×body80valid
0.0ms2×body1280valid
0.0ms1×body2560valid