Details

Time bar (total: 1.7m)

sample670.0ms

Algorithm
intervals
Results
175.0ms562×body80valid

simplify186.0ms

Calls
1 calls:
Slowest
185.0ms
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 0.125 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 4.5)

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 2 (* r r))
0.4b
(* (* w r) (* w r))
0.1b
(fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5)
0.0b
(- (+ 3 (/ 2 (* r r))) (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
27×*-un-lft-identity
21×add-cbrt-cube add-exp-log
17×pow-prod-down
16×add-sqr-sqrt
14×add-cube-cbrt
12×prod-diff
9×prod-exp cbrt-unprod add-log-exp
5×distribute-lft-out
4×expm1-log1p-u fma-neg pow-sqr pow-prod-up insert-posit16 log1p-expm1-u
3×times-frac associate-/l*
2×cbrt-undiv pow-plus diff-log div-exp fma-udef distribute-lft-out--
1×pow2 clear-num associate-/r* sum-log sub-neg frac-2neg flip3-- swap-sqr associate-*r* associate-*l* associate--l+ *-commutative div-inv flip-- associate--r+ difference-of-squares
Calls
4 calls:
Slowest
112.0ms
(- (+ 3 (/ 2 (* r r))) (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5))
47.0ms
(* (* w r) (* w r))
27.0ms
(/ 2 (* r r))
0.0ms
(fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5)

series320.0ms

Calls
4 calls:
Slowest
127.0ms
(- (+ 3 (/ 2 (* r r))) (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5))
117.0ms
(fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5)
44.0ms
(/ 2 (* r r))
32.0ms
(* (* w r) (* w r))

simplify14.4s

Calls
88 calls:
Slowest
734.0ms
(* (* (* (* w w) w) (* (* r r) r)) (* (* (* w w) w) (* (* r r) r)))
642.0ms
(* (* (* (* w r) (* w r)) (* w r)) (* (* (* w r) (* w r)) (* w r)))
556.0ms
(fma (* (cbrt (+ 3 (/ 2 (* r r)))) (cbrt (+ 3 (/ 2 (* r r))))) (cbrt (+ 3 (/ 2 (* r r)))) (- (* (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5) 1)))
527.0ms
(fma 1 (+ 3 (/ 2 (* r r))) (- (* (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5) 1)))
503.0ms
(fma 1 (+ 3 (/ 2 (* r r))) (- (* (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5) 1)))

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* w r) (* w r))
0.2b
(/ (/ 2 r) r)
0.1b
(fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5)
0.0b
(- (+ 3 (/ (/ 2 r) r)) (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
67×*-un-lft-identity
56×add-sqr-sqrt
54×add-cube-cbrt
43×pow1
21×add-cbrt-cube add-exp-log
17×pow-prod-down
13×associate-/l*
12×prod-diff
9×add-log-exp
8×prod-exp cbrt-unprod
5×div-inv distribute-lft-out
4×expm1-log1p-u fma-neg pow-sqr pow-prod-up insert-posit16 log1p-expm1-u
3×cbrt-undiv associate-/r* div-exp
2×pow-plus diff-log fma-udef distribute-lft-out--
1×pow2 clear-num sum-log sub-neg frac-2neg flip3-- swap-sqr associate-*r* associate-*l* associate--l+ *-commutative flip-- associate--r+ difference-of-squares associate-/l/
Calls
4 calls:
Slowest
88.0ms
(- (+ 3 (/ (/ 2 r) r)) (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5))
28.0ms
(* (* w r) (* w r))
7.0ms
(/ (/ 2 r) r)
0.0ms
(fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5)

series332.0ms

Calls
4 calls:
Slowest
156.0ms
(- (+ 3 (/ (/ 2 r) r)) (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5))
110.0ms
(fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5)
36.0ms
(* (* w r) (* w r))
30.0ms
(/ (/ 2 r) r)

simplify16.6s

Calls
171 calls:
Slowest
670.0ms
(* (* (* (* w w) w) (* (* r r) r)) (* (* (* w w) w) (* (* r r) r)))
616.0ms
(* (* (* (* w r) (* w r)) (* w r)) (* (* (* w r) (* w r)) (* w r)))
538.0ms
(fma (- (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5)) 1 (* (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5) 1))
508.0ms
(fma 1 (+ 3 (/ (/ 2 r) r)) (- (* (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5) 1)))
503.0ms
(/ (/ (* (cbrt 2) (cbrt 2)) (* (cbrt r) (cbrt r))) 1)

prune2.5s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* w r) (* w r))
0.2b
(/ (/ 2 r) r)
0.1b
(* (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)))
0.0b
(- (- (+ 3 (/ (/ 2 r) r)) (* (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)))) 4.5)

rewrite671.0ms

Algorithm
rewrite-expression-head
Rules
198×times-frac
142×add-sqr-sqrt
138×*-un-lft-identity
107×add-cube-cbrt
90×add-cbrt-cube add-exp-log
72×associate-*l*
61×pow1
47×prod-exp cbrt-unprod
30×pow-prod-down
19×difference-of-squares
18×cbrt-undiv div-exp
13×prod-diff associate-/l* add-log-exp
10×distribute-lft-out--
9×div-inv
8×associate--l+
5×diff-log
4×expm1-log1p-u pow-sqr pow-prod-up insert-posit16 log1p-expm1-u
3×associate-/r* fma-neg unswap-sqr
2×sub-neg pow-plus associate-*r* *-commutative
1×associate--l- pow2 clear-num sum-log frac-2neg flip3-- swap-sqr associate-*l/ associate-/r/ flip-- distribute-lft-out associate-/l/
Calls
4 calls:
Slowest
492.0ms
(- (- (+ 3 (/ (/ 2 r) r)) (* (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)))) 4.5)
114.0ms
(* (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)))
46.0ms
(* (* w r) (* w r))
7.0ms
(/ (/ 2 r) r)

series326.0ms

Calls
4 calls:
Slowest
132.0ms
(- (- (+ 3 (/ (/ 2 r) r)) (* (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)))) 4.5)
87.0ms
(* (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)))
60.0ms
(* (* w r) (* w r))
48.0ms
(/ (/ 2 r) r)

simplify37.4s

Calls
285 calls:
Slowest
1.1s
(* (/ (* (* (fma v -2 3) (fma v -2 3)) (fma v -2 3)) (/ (* (* (- 1 v) (- 1 v)) (- 1 v)) (* (* 0.125 0.125) 0.125))) (* (* (* (* w w) w) (* (* r r) r)) (* (* (* w r) (* w r)) (* w r))))
1.0s
(* (/ (* (* (fma v -2 3) (fma v -2 3)) (fma v -2 3)) (/ (* (* (- 1 v) (- 1 v)) (- 1 v)) (* (* 0.125 0.125) 0.125))) (* (* (* (* w r) (* w r)) (* w r)) (* (* (* w w) w) (* (* r r) r))))
953.0ms
(* (/ (* (* (fma v -2 3) (fma v -2 3)) (fma v -2 3)) (/ (* (* (- 1 v) (- 1 v)) (- 1 v)) (* (* 0.125 0.125) 0.125))) (* (* (* (* w w) w) (* (* r r) r)) (* (* (* w w) w) (* (* r r) r))))
924.0ms
(* (/ (* (* (fma v -2 3) (fma v -2 3)) (fma v -2 3)) (* (* (/ (- 1 v) 0.125) (/ (- 1 v) 0.125)) (/ (- 1 v) 0.125))) (* (* (* (* w w) w) (* (* r r) r)) (* (* (* w w) w) (* (* r r) r))))
883.0ms
(* (/ (* (* (fma v -2 3) (fma v -2 3)) (fma v -2 3)) (/ (* (* (- 1 v) (- 1 v)) (- 1 v)) (* (* 0.125 0.125) 0.125))) (* (* (* (* w r) (* w r)) (* w r)) (* (* (* w r) (* w r)) (* w r))))

prune4.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

11.8b
(sqrt (* (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r))))
11.8b
(sqrt (* (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r))))
0.4b
(* (* w r) (* w r))
0.4b
(* (* w r) (* w r))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
120×pow1
60×pow-prod-down
28×add-cbrt-cube add-exp-log
16×prod-exp cbrt-unprod
12×sqrt-pow1
8×pow-sqr pow-prod-up
4×add-sqr-sqrt expm1-log1p-u *-un-lft-identity pow-plus add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
2×pow2 pow1/2 sqrt-div swap-sqr associate-*r* associate-*l* associate-*l/ *-commutative sqrt-prod
Calls
4 calls:
Slowest
98.0ms
(sqrt (* (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r))))
76.0ms
(sqrt (* (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r))))
38.0ms
(* (* w r) (* w r))
35.0ms
(* (* w r) (* w r))

series1.5s

Calls
4 calls:
Slowest
715.0ms
(sqrt (* (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r))))
684.0ms
(sqrt (* (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r))))
53.0ms
(* (* w r) (* w r))
52.0ms
(* (* w r) (* w r))

simplify13.6s

Calls
92 calls:
Slowest
881.0ms
(- (* (sqrt 2) (* r (* (sqrt 0.125) w))) (+ (* 1/2 (/ (* r (* (sqrt 0.125) w)) (* (sqrt 2) (pow v 2)))) (+ (* 1/2 (/ (* r (* (sqrt 0.125) w)) (* (sqrt 2) v))) (* 1/8 (/ (* r (* (sqrt 0.125) w)) (* (pow (sqrt 2) 3) (pow v 2)))))))
834.0ms
(- (* (sqrt 2) (* r (* (sqrt 0.125) w))) (+ (* 1/2 (/ (* r (* (sqrt 0.125) w)) (* (sqrt 2) (pow v 2)))) (+ (* 1/2 (/ (* r (* (sqrt 0.125) w)) (* (sqrt 2) v))) (* 1/8 (/ (* r (* (sqrt 0.125) w)) (* (pow (sqrt 2) 3) (pow v 2)))))))
774.0ms
(* (* (* (* w w) w) (* (* r r) r)) (* (* (* w w) w) (* (* r r) r)))
765.0ms
(* (* (* (* w w) w) (* (* r r) r)) (* (* (* w w) w) (* (* r r) r)))
763.0ms
(- (* (sqrt 2) (* r (* (sqrt 0.125) w))) (+ (* 1/2 (/ (* r (* (sqrt 0.125) w)) (* (sqrt 2) (pow v 2)))) (+ (* 1/2 (/ (* r (* (sqrt 0.125) w)) (* (sqrt 2) v))) (* 1/8 (/ (* r (* (sqrt 0.125) w)) (* (pow (sqrt 2) 3) (pow v 2)))))))

prune2.5s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes676.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch8.0ms

end0.0ms

sample4.6s

Algorithm
intervals
Results
4.1s17158×body80valid