Details

Time bar (total: 36.2s)

sample450.0ms

Algorithm
halfpoints
Results

simplify3.8s

Counts
1 → 1

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 41.2b

localize102.0ms

Local error

Found 3 expressions with local error:

57.8b
(- (exp x) (exp (- x)))
0.1b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
43×*-un-lft-identity
35×associate-*l*
29×times-frac add-cube-cbrt
13×add-cbrt-cube add-exp-log
9×prod-diff
7×pow1
6×associate-*r*
5×add-log-exp
4×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
3×expm1-log1p-u fma-neg insert-posit16 log1p-expm1-u distribute-lft-out
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×sub-neg flip3-- diff-log flip--
Counts
3 → 108
Calls
3 calls:
Slowest
73.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
40.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
34.0ms
(- (exp x) (exp (- x)))

series238.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
100.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
86.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
52.0ms
(- (exp x) (exp (- x)))

simplify552.0ms

Counts
117 → 117

prune1.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize174.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 1/3 (* x x))
0.1b
(* (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) 2) (sin y))
0.1b
(* (* 1/3 (* x x)) x)
0.0b
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
33×associate-*l*
29×*-un-lft-identity
28×add-cbrt-cube add-exp-log
23×times-frac add-cube-cbrt
22×pow1
13×prod-exp cbrt-unprod
11×pow-prod-down
10×associate-*r*
5×unswap-sqr
4×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
3×distribute-lft-out
2×cbrt-undiv div-exp associate-*l/ div-inv
Counts
4 → 119
Calls
4 calls:
Slowest
77.0ms
(* (* 1/3 (* x x)) x)
49.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
28.0ms
(* 1/3 (* x x))
25.0ms
(* (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) 2) (sin y))

series333.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
134.0ms
(* (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) 2) (sin y))
84.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
67.0ms
(* (* 1/3 (* x x)) x)
47.0ms
(* 1/3 (* x x))

simplify800.0ms

Counts
131 → 131

prune2.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize197.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))))
0.6b
(cbrt (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))))
0.6b
(cbrt (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))))
0.5b
(* (cbrt (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x)))) (cbrt (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x)))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
Slowest
14.0ms
(* (cbrt (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x)))) (cbrt (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x)))))
1.0ms
(cbrt (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))))
1.0ms
(cbrt (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))))
1.0ms
(cbrt (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))))

series869.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
251.0ms
(cbrt (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))))
210.0ms
(* (cbrt (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x)))) (cbrt (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x)))))
205.0ms
(cbrt (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))))
202.0ms
(cbrt (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))))

simplify1.1s

Counts
97 → 97

prune2.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize161.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) 2))
0.6b
(cbrt (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) 2))
0.6b
(cbrt (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) 2))
0.5b
(* (cbrt (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) 2)) (cbrt (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) 2)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×*-un-lft-identity add-cube-cbrt
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 156
Calls
4 calls:
Slowest
13.0ms
(* (cbrt (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) 2)) (cbrt (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) 2)))
2.0ms
(cbrt (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) 2))
1.0ms
(cbrt (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) 2))
1.0ms
(cbrt (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) 2))

series1.5s

Counts
4 → 12
Calls
4 calls:
Slowest
659.0ms
(cbrt (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) 2))
304.0ms
(* (cbrt (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) 2)) (cbrt (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) 2)))
259.0ms
(cbrt (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) 2))
246.0ms
(cbrt (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) 2))

simplify2.4s

Counts
168 → 168

prune3.8s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes293.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch12.0ms

end0.0ms

sample12.2s

Algorithm
halfpoints
Results