Details

Time bar (total: 30.8s)

sample430.0ms

Algorithm
halfpoints

simplify1.2s

Counts
1 → 1
Iterations
IterNodes
done5000
61025
5247
4128
383
248
130
016

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 45.8b

localize61.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
59.8b
(- (exp x) (exp (- x)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
31×*-un-lft-identity
21×add-cube-cbrt
19×associate-*l*
16×times-frac
9×prod-diff
8×add-cbrt-cube add-exp-log
7×add-log-exp
5×pow1
4×distribute-lft-out-- difference-of-squares
3×expm1-log1p-u fma-def fma-neg associate-*r* log1p-expm1-u
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative sum-log sub-neg flip3-+ flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv flip-- distribute-lft-out
Counts
3 → 85
Calls
3 calls:
10.0ms
(+ (exp x) (exp (- x)))
47.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
13.0ms
(- (exp x) (exp (- x)))

series178.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (exp x) (exp (- x)))
102.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
40.0ms
(- (exp x) (exp (- x)))

simplify1.5s

Counts
94 → 94
Iterations
IterNodes
done5000
21936
1420
0169

prune646.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize75.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.1b
(* (/ (fma (* x x) (* x 1/3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))
0.4b
(* x 1/3)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity associate-*l*
14×add-cube-cbrt
10×times-frac add-cbrt-cube add-exp-log
7×pow1
6×associate-*r*
5×add-log-exp
3×expm1-log1p-u fma-def prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
2×pow-prod-down *-commutative
1×cbrt-undiv +-commutative sum-log flip3-+ div-exp associate-*l/ flip-+ div-inv distribute-lft-out
Counts
3 → 71
Calls
3 calls:
10.0ms
(+ (exp x) (exp (- x)))
14.0ms
(* (/ (fma (* x x) (* x 1/3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))
5.0ms
(* x 1/3)

series146.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ (exp x) (exp (- x)))
102.0ms
(* (/ (fma (* x x) (* x 1/3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))
15.0ms
(* x 1/3)

simplify1.4s

Counts
80 → 80
Iterations
IterNodes
done5001
21502
1373
0156

prune794.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize120.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 (sqrt 2.0)) (* (/ (fma (* x x) (* x 1/3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
0.4b
(* x 1/3)
0.5b
(/ (fma (* x x) (* x 1/3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
1.0b
(/ 1 (sqrt 2.0))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac
51×add-sqr-sqrt add-exp-log
49×*-un-lft-identity add-cube-cbrt
33×sqrt-prod
31×add-cbrt-cube
25×associate-*l*
21×prod-exp
13×pow1 div-exp
12×associate-/r*
11×cbrt-unprod
7×cbrt-undiv
6×associate-/l*
4×expm1-log1p-u rec-exp 1-exp associate-*r* pow-prod-down log1p-expm1-u add-log-exp
3×associate-*l/ div-inv pow-flip
2×clear-num frac-2neg *-commutative
1×frac-times sqrt-pow1 pow1/2 associate-*r/ inv-pow unswap-sqr
Counts
4 → 164
Calls
4 calls:
60.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma (* x x) (* x 1/3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
7.0ms
(* x 1/3)
6.0ms
(/ (fma (* x x) (* x 1/3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
8.0ms
(/ 1 (sqrt 2.0))

series419.0ms

Counts
4 → 10
Calls
4 calls:
261.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma (* x x) (* x 1/3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
19.0ms
(* x 1/3)
139.0ms
(/ (fma (* x x) (* x 1/3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify2.7s

Counts
174 → 174
Iterations
IterNodes
done5001
23229
1604
0241

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize126.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ (fma (* x x) (* x 1/3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
0.3b
(* (/ 1 (sqrt 2.0)) (* (/ (/ (fma (* x x) (* x 1/3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sin y)))
0.4b
(* x 1/3)
1.0b
(/ 1 (sqrt 2.0))

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
585×times-frac
579×sqrt-prod
322×add-sqr-sqrt
320×*-un-lft-identity add-cube-cbrt
75×add-exp-log
45×add-cbrt-cube
34×associate-/l*
29×prod-exp
25×div-exp associate-*l*
15×associate-/r* cbrt-unprod
14×cbrt-undiv
13×pow1 div-inv
5×rec-exp 1-exp
4×expm1-log1p-u associate-*r* pow-prod-down log1p-expm1-u add-log-exp
3×associate-*l/ pow-flip
2×clear-num frac-2neg *-commutative
1×frac-times sqrt-pow1 pow1/2 associate-*r/ inv-pow unswap-sqr associate-/l/
Counts
4 → 465
Calls
4 calls:
33.0ms
(/ (/ (fma (* x x) (* x 1/3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
155.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (/ (fma (* x x) (* x 1/3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sin y)))
10.0ms
(* x 1/3)
8.0ms
(/ 1 (sqrt 2.0))

series498.0ms

Counts
4 → 10
Calls
4 calls:
176.0ms
(/ (/ (fma (* x x) (* x 1/3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
306.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (/ (fma (* x x) (* x 1/3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sin y)))
16.0ms
(* x 1/3)
0.0ms
(/ 1 (sqrt 2.0))

simplify2.2s

Counts
475 → 475
Iterations
IterNodes
done5000
11407
0556

prune3.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes217.0ms

Accuracy

0% (0.1b remaining)

Error of 0.8b against oracle of 0.7b and baseline of 0.8b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done30
130
025

end0.0ms

sample13.1s

Algorithm
halfpoints