Details

Time bar (total: 9.5s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
0911
11511
22211
32610
42910
53010
done3010

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

6.4b
(/ y (fma (/ x 2.0) y 1.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
5.0ms
(/ y (fma (/ x 2.0) y 1.0))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(/ y (fma (/ x 2.0) y 1.0))

simplify2.0s

Counts
32 → 32
Iterations

Useful iterations: 3 (226.0ms)

IterNodesCost
082485
1166471
2443431
31170429
43490429
done5001429

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
6.4b
(/ (fma (/ x 2.0) y 1.0) y)

rewrite20.0ms

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:
10.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
5.0ms
(/ (fma (/ x 2.0) y 1.0) y)

series115.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
53.0ms
(/ (fma (/ x 2.0) y 1.0) y)

simplify1.5s

Counts
113 → 113
Iterations

Useful iterations: 3 (506.0ms)

IterNodesCost
01842005
13871781
28291580
320601560
done50011560

prune167.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 0.5 x (/ 1.0 y))
0.1b
(/ 1 (fma 0.5 x (/ 1.0 y)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log
4×add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
1×cbrt-undiv rec-exp pow-flip frac-2neg 1-exp clear-num fma-udef div-inv inv-pow
Counts
2 → 43
Calls
2 calls:
0.0ms
(fma 0.5 x (/ 1.0 y))
5.0ms
(/ 1 (fma 0.5 x (/ 1.0 y)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(fma 0.5 x (/ 1.0 y))
54.0ms
(/ 1 (fma 0.5 x (/ 1.0 y)))

simplify2.1s

Counts
49 → 49
Iterations

Useful iterations: 3 (225.0ms)

IterNodesCost
088618
1175563
2400507
31058505
43123505
done5001505

prune83.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (/ 1 (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0)))) (/ y (cbrt (fma (/ x 2.0) y 1.0))))
6.7b
(cbrt (fma (/ x 2.0) y 1.0))
6.7b
(cbrt (fma (/ x 2.0) y 1.0))
6.7b
(cbrt (fma (/ x 2.0) y 1.0))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
22×add-cube-cbrt associate-*r*
21×cbrt-prod
20×prod-exp
18×add-cbrt-cube
15×div-exp
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv associate-*l*
6×pow1
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 111
Calls
4 calls:
61.0ms
(* (/ 1 (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0)))) (/ y (cbrt (fma (/ x 2.0) y 1.0))))
1.0ms
(cbrt (fma (/ x 2.0) y 1.0))
1.0ms
(cbrt (fma (/ x 2.0) y 1.0))
1.0ms
(cbrt (fma (/ x 2.0) y 1.0))

series853.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (/ 1 (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0)))) (/ y (cbrt (fma (/ x 2.0) y 1.0))))
268.0ms
(cbrt (fma (/ x 2.0) y 1.0))
264.0ms
(cbrt (fma (/ x 2.0) y 1.0))
254.0ms
(cbrt (fma (/ x 2.0) y 1.0))

simplify1.5s

Counts
123 → 123
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02193438
15903180
220042451
done50012252

prune329.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
done810

end0.0ms

sample387.0ms

Algorithm
intervals
Results
205.0ms7999×body80valid
0.0ms1×body1280valid