Details

Time bar (total: 27.1s)

sample394.0ms

Algorithm
halfpoints

simplify830.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01624
13011
24811
38311
412811
524711
6103711
done500111

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.1b

localize41.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
58.7b
(- (exp x) (exp (- x)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
27×*-un-lft-identity
19×add-cube-cbrt associate-*l*
16×times-frac
9×prod-diff
7×add-exp-log add-cbrt-cube
4×pow1 distribute-lft-out-- add-log-exp difference-of-squares
3×fma-neg associate-*r*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv
Counts
2 → 68
Calls
2 calls:
59.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.0ms
(- (exp x) (exp (- x)))

series142.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
42.0ms
(- (exp x) (exp (- x)))

simplify1.1s

Counts
74 → 74
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01491156
13651007
21505847
done5000789

prune338.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 1/60 (pow x 5) (* 2 x))
0.1b
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative fma-udef div-inv
Counts
2 → 44
Calls
2 calls:
1.0ms
(fma 1/60 (pow x 5) (* 2 x))
19.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

series373.0ms

Counts
2 → 6
Calls
2 calls:
206.0ms
(fma 1/60 (pow x 5) (* 2 x))
167.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

simplify950.0ms

Counts
50 → 50
Iterations

Useful iterations: done (948.0ms)

IterNodesCost
0100971
1222961
2948835
done5000829

prune354.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
0.3b
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
0.5b
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
1.0b
(/ 1 (sqrt 2.0))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
74×times-frac
69×add-sqr-sqrt
61×add-cube-cbrt *-un-lft-identity
54×add-exp-log
44×associate-*l*
43×sqrt-prod
34×add-cbrt-cube
22×prod-exp
14×div-exp
13×pow1
12×associate-/r* cbrt-unprod
8×cbrt-undiv
6×associate-/l*
4×expm1-log1p-u rec-exp 1-exp associate-*r* pow-prod-down associate-*l/ log1p-expm1-u div-inv add-log-exp
3×pow-flip unswap-sqr
2×frac-2neg clear-num *-commutative
1×frac-times sqrt-pow1 pow1/2 associate-*r/ inv-pow
Counts
4 → 188
Calls
4 calls:
27.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
80.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
12.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
14.0ms
(/ 1 (sqrt 2.0))

series722.0ms

Counts
4 → 10
Calls
4 calls:
256.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
299.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
167.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify3.9s

Counts
198 → 198
Iterations

Useful iterations: done (3.9s)

IterNodesCost
02544584
16644327
238823773
done50013735

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
0.3b
(* (cbrt (/ 1 (* 2.0 (sqrt 2.0)))) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
0.5b
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
1.0b
(/ 1 (* 2.0 (sqrt 2.0)))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
44×times-frac
38×add-cube-cbrt *-un-lft-identity
32×associate-*l*
31×add-exp-log
22×sqrt-prod add-cbrt-cube
17×pow1
10×prod-exp
8×cbrt-unprod
7×cbrt-prod div-exp associate-/r*
6×associate-/l*
5×cbrt-undiv pow-flip pow-prod-down
4×expm1-log1p-u associate-*r* associate-*l/ log1p-expm1-u div-inv add-log-exp
3×unswap-sqr
2×rec-exp cbrt-div frac-2neg 1-exp clear-num *-commutative pow-prod-up
1×frac-times sqrt-pow1 pow1/2 associate-*r/ pow3 inv-pow
Counts
4 → 150
Calls
4 calls:
49.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
77.0ms
(* (cbrt (/ 1 (* 2.0 (sqrt 2.0)))) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
7.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
23.0ms
(/ 1 (* 2.0 (sqrt 2.0)))

series1.0s

Counts
4 → 10
Calls
4 calls:
198.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
680.0ms
(* (cbrt (/ 1 (* 2.0 (sqrt 2.0)))) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
156.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (* 2.0 (sqrt 2.0)))

simplify1.7s

Counts
160 → 160
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02513759
16113626
228303253
done50003251

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes133.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01618
11818
done1818

end0.0ms

sample12.4s

Algorithm
halfpoints