Details

Time bar (total: 2.4m)

sample89.0ms

Algorithm
intervals
Results
44.0ms256×body80valid
31.0ms270×body80nan

simplify247.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
247.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt 2) (/ 4 (- 1 (* v v))))
0.0b
(* (/ (sqrt 2) (/ 4 (- 1 (* v v)))) (sqrt (fma (* v v) -3 1)))
0.0b
(/ 4 (- 1 (* v v)))
0.0b
(sqrt (fma (* v v) -3 1))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
297×add-sqr-sqrt
264×*-un-lft-identity
221×add-cube-cbrt
144×sqrt-prod
131×associate-*l*
86×difference-of-squares
30×associate-/r/
26×associate-/r*
20×add-cbrt-cube add-exp-log
16×div-inv
14×flip3-- flip--
10×unswap-sqr
9×associate-/l*
7×pow1 cbrt-undiv div-exp
6×associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod
2×clear-num frac-2neg
1×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down associate-*l/ *-commutative
Counts
4 → 393
Calls
4 calls:
Slowest
38.0ms
(* (/ (sqrt 2) (/ 4 (- 1 (* v v)))) (sqrt (fma (* v v) -3 1)))
13.0ms
(/ (sqrt 2) (/ 4 (- 1 (* v v))))
7.0ms
(/ 4 (- 1 (* v v)))
1.0ms
(sqrt (fma (* v v) -3 1))

series619.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
305.0ms
(* (/ (sqrt 2) (/ 4 (- 1 (* v v)))) (sqrt (fma (* v v) -3 1)))
183.0ms
(/ (sqrt 2) (/ 4 (- 1 (* v v))))
83.0ms
(sqrt (fma (* v v) -3 1))
48.0ms
(/ 4 (- 1 (* v v)))

simplify1.0m

Counts
505 → 405
Calls
505 calls:
Slowest
616.0ms
(/ (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (/ (* (* 4 4) 4) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))))
545.0ms
(/ (sqrt 2) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))
535.0ms
(/ (sqrt 1) (/ 4 (- (* 1 1) (* (* v v) (* v v)))))
475.0ms
(/ (sqrt 1) (/ 4 (- (* 1 1) (* (* v v) (* v v)))))
445.0ms
(/ (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* (/ 4 (- 1 (* v v))) (/ 4 (- 1 (* v v)))) (/ 4 (- 1 (* v v)))))

prune4.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt 2) (sqrt (fma (* v v) -3 1)))
0.0b
(/ 4 (- 1 (* v v)))
0.0b
(sqrt (fma (* v v) -3 1))
0.0b
(/ (* (sqrt 2) (sqrt (fma (* v v) -3 1))) (/ 4 (- 1 (* v v))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
56×add-sqr-sqrt
47×*-un-lft-identity
37×add-cube-cbrt
26×associate-/r*
20×add-cbrt-cube add-exp-log difference-of-squares
13×sqrt-prod
9×pow1
7×cbrt-undiv div-exp associate-/r/
6×associate-*r* associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp unswap-sqr
3×sqrt-pow1 flip3-- pow1/2 pow-prod-down prod-exp cbrt-unprod flip--
2×clear-num frac-2neg
1×rem-sqrt-square sqrt-unprod *-commutative
Counts
4 → 154
Calls
4 calls:
Slowest
17.0ms
(* (sqrt 2) (sqrt (fma (* v v) -3 1)))
16.0ms
(/ (* (sqrt 2) (sqrt (fma (* v v) -3 1))) (/ 4 (- 1 (* v v))))
10.0ms
(/ 4 (- 1 (* v v)))
1.0ms
(sqrt (fma (* v v) -3 1))

series578.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
305.0ms
(/ (* (sqrt 2) (sqrt (fma (* v v) -3 1))) (/ 4 (- 1 (* v v))))
163.0ms
(* (sqrt 2) (sqrt (fma (* v v) -3 1)))
60.0ms
(sqrt (fma (* v v) -3 1))
49.0ms
(/ 4 (- 1 (* v v)))

simplify15.1s

Counts
157 → 166
Calls
157 calls:
Slowest
595.0ms
(- (+ (* 1/2 (/ 1 (* (sqrt -3) v))) (* (sqrt -3) v)) (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (pow v 3)))))
546.0ms
(- 1 (+ (* 9/8 (pow v 4)) (* 3/2 (pow v 2))))
465.0ms
(- (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (pow v 3)))) (+ (* 1/2 (/ 1 (* (sqrt -3) v))) (* (sqrt -3) v)))
355.0ms
(/ (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* (sqrt (fma (* v v) -3 1)) (sqrt (fma (* v v) -3 1))) (sqrt (fma (* v v) -3 1)))) (/ (* (* 4 4) 4) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))))
350.0ms
(- (+ (log (sqrt 2)) (log (sqrt (fma (* v v) -3 1)))) (- (log 4) (log (- 1 (* v v)))))

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* v v) (* v v))
0.0b
(* (sqrt 2) (sqrt (fma (* v v) -3 1)))
0.0b
(/ (/ (* (sqrt 2) (sqrt (fma (* v v) -3 1))) (/ 4 (- (* 1 1) (* (* v v) (* v v))))) (+ 1 (* v v)))
0.0b
(sqrt (fma (* v v) -3 1))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
189×times-frac
120×pow1
78×add-sqr-sqrt
69×*-un-lft-identity add-cube-cbrt
36×add-cbrt-cube add-exp-log pow-prod-up
26×pow-prod-down
23×associate-/l*
22×pow-sqr
18×pow-plus
14×associate-/r/
13×pow2 sqrt-prod
12×difference-of-squares
11×cbrt-undiv div-exp prod-exp cbrt-unprod
9×div-inv
7×associate-*r* associate-*l*
5×unswap-sqr
4×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip-- add-log-exp
3×associate-/r* sqrt-pow1 pow1/2
2×*-commutative
1×rem-sqrt-square clear-num frac-2neg flip3-+ sqrt-unprod swap-sqr flip-+ associate-/l/
Counts
4 → 236
Calls
4 calls:
Slowest
133.0ms
(/ (/ (* (sqrt 2) (sqrt (fma (* v v) -3 1))) (/ 4 (- (* 1 1) (* (* v v) (* v v))))) (+ 1 (* v v)))
32.0ms
(* (* v v) (* v v))
18.0ms
(* (sqrt 2) (sqrt (fma (* v v) -3 1)))
3.0ms
(sqrt (fma (* v v) -3 1))

series715.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
428.0ms
(/ (/ (* (sqrt 2) (sqrt (fma (* v v) -3 1))) (/ 4 (- (* 1 1) (* (* v v) (* v v))))) (+ 1 (* v v)))
151.0ms
(* (sqrt 2) (sqrt (fma (* v v) -3 1)))
96.0ms
(sqrt (fma (* v v) -3 1))
40.0ms
(* (* v v) (* v v))

simplify51.7s

Counts
286 → 248
Calls
286 calls:
Slowest
944.0ms
(/ (/ (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* (sqrt (fma (* v v) -3 1)) (sqrt (fma (* v v) -3 1))) (sqrt (fma (* v v) -3 1)))) (* (* (/ 4 (- (* 1 1) (* (* v v) (* v v)))) (/ 4 (- (* 1 1) (* (* v v) (* v v))))) (/ 4 (- (* 1 1) (* (* v v) (* v v)))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))))
895.0ms
(/ (/ (* (* (* (sqrt 2) (sqrt (fma (* v v) -3 1))) (* (sqrt 2) (sqrt (fma (* v v) -3 1)))) (* (sqrt 2) (sqrt (fma (* v v) -3 1)))) (* (* (/ 4 (- (* 1 1) (* (* v v) (* v v)))) (/ 4 (- (* 1 1) (* (* v v) (* v v))))) (/ 4 (- (* 1 1) (* (* v v) (* v v)))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))))
844.0ms
(/ (/ (* (* (* (sqrt 2) (sqrt (fma (* v v) -3 1))) (* (sqrt 2) (sqrt (fma (* v v) -3 1)))) (* (sqrt 2) (sqrt (fma (* v v) -3 1)))) (/ (* (* 4 4) 4) (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (- (* 1 1) (* (* v v) (* v v)))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))))
700.0ms
(/ (/ (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* (sqrt (fma (* v v) -3 1)) (sqrt (fma (* v v) -3 1))) (sqrt (fma (* v v) -3 1)))) (/ (* (* 4 4) 4) (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (- (* 1 1) (* (* v v) (* v v)))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))))
664.0ms
(/ (* (* (/ (* (sqrt 2) (sqrt (fma (* v v) -3 1))) (/ 4 (- (* 1 1) (* (* v v) (* v v))))) (/ (* (sqrt 2) (sqrt (fma (* v v) -3 1))) (/ 4 (- (* 1 1) (* (* v v) (* v v)))))) (/ (* (sqrt 2) (sqrt (fma (* v v) -3 1))) (/ 4 (- (* 1 1) (* (* v v) (* v v)))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))))

prune2.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch5.0ms

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.6s8000×body80valid
1.3s8121×body80nan