Details

Time bar (total: 21.2s)

sample524.0ms

Algorithm
halfpoints

simplify6.7s

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01624
13011
24811
38311
412711
520011
637311
760811
8110511
9152111
10185511
11193911
12195911
done195911

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.8b

localize62.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
57.7b
(- (exp x) (exp (- x)))

rewrite111.0ms

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:
84.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
21.0ms
(- (exp x) (exp (- x)))

series206.0ms

Counts
2 → 6
Calls
2 calls:
121.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
85.0ms
(- (exp x) (exp (- x)))

simplify2.8s

Counts
74 → 74
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01491156
13481004
2899843
33520788
done5000779

prune316.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
0.2b
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

rewrite20.0ms

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:
0.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
18.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

series219.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
145.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

simplify2.5s

Counts
50 → 50
Iterations

Useful iterations: 3 (955.0ms)

IterNodesCost
0991049
12191036
2695896
33306894
done5000894

prune324.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

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))
0.4b
(* (/ 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))

rewrite120.0ms

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:
26.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
69.0ms
(* (/ 1 (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))
7.0ms
(/ 1 (sqrt 2.0))

series634.0ms

Counts
4 → 10
Calls
4 calls:
199.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
308.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
124.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify1.4s

Counts
198 → 198
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02544584
16014231
219843619
done50013595

prune830.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize61.0ms

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))
0.4b
(* (cbrt (/ 1 (* (sqrt 2.0) 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) 2.0))

rewrite182.0ms

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
18×pow1
10×prod-exp
8×cbrt-unprod
7×cbrt-prod pow-flip div-exp associate-/r*
6×associate-/l*
5×cbrt-undiv 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 sqrt-pow1 pow-plus pow1/2 1-exp clear-num *-commutative pow-prod-up
1×frac-times cube-unmult associate-*r/ inv-pow
Counts
4 → 152
Calls
4 calls:
41.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
89.0ms
(* (cbrt (/ 1 (* (sqrt 2.0) 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))
32.0ms
(/ 1 (* (sqrt 2.0) 2.0))

series1.3s

Counts
4 → 10
Calls
4 calls:
240.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
856.0ms
(* (cbrt (/ 1 (* (sqrt 2.0) 2.0))) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
171.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (* (sqrt 2.0) 2.0))

simplify1.5s

Counts
162 → 162
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02513767
15793626
217513253
done50003247

prune980.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes189.0ms

bsearch1.0ms