Details

Time bar (total: 3.5m)

sample88.0ms

Algorithm
intervals
Results
36.0ms251×body80nan
36.0ms256×body80valid

simplify240.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
240.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3 (* v v))
0.0b
(sqrt (- 1 (* 3 (* v v))))
0.0b
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.0b
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
26×associate-*l*
23×*-un-lft-identity add-cbrt-cube add-exp-log
22×times-frac add-cube-cbrt
20×sqrt-prod
18×frac-times sqrt-div
17×pow1
15×flip3-- flip--
12×associate-*r*
10×prod-exp associate-*r/ cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
4×insert-posit16 add-log-exp
3×*-commutative
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp difference-of-squares
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv
Counts
4 → 133
Calls
4 calls:
Slowest
56.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
32.0ms
(* 3 (* v v))
19.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
4.0ms
(sqrt (- 1 (* 3 (* v v))))

series674.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
354.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
214.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
74.0ms
(sqrt (- 1 (* 3 (* v v))))
32.0ms
(* 3 (* v v))

simplify17.6s

Counts
125 → 145
Calls
125 calls:
Slowest
866.0ms
(* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v))))))
474.0ms
(* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))
441.0ms
(sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))
428.0ms
(- (* 1/4 (sqrt 2)) (+ (* 9/32 (* (sqrt 2) (pow v 4))) (* 3/8 (* (sqrt 2) (pow v 2)))))
427.0ms
(sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))
0.2b
(* 3 (* v v))
0.2b
(* 3 (* v v))
0.0b
(sqrt (- 1 (* 3 (* v v))))

rewrite367.0ms

Algorithm
rewrite-expression-head
Rules
1046×sqrt-div
865×frac-times
433×flip3-- flip--
305×associate-*l/ associate-*r/
142×pow1
77×pow-prod-down
61×sqrt-pow1
17×pow-prod-up
16×add-sqr-sqrt add-cbrt-cube add-exp-log
13×pow1/2
11×*-un-lft-identity pow-sqr add-cube-cbrt
10×associate-*l*
7×prod-exp sqrt-prod cbrt-unprod
6×associate-*r*
4×swap-sqr insert-posit16 add-log-exp
3×*-commutative unswap-sqr
1×pow2 rem-sqrt-square rem-square-sqrt pow-plus sqrt-unprod
Counts
4 → 446
Calls
4 calls:
Slowest
290.0ms
(* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))
25.0ms
(* 3 (* v v))
13.0ms
(* 3 (* v v))
8.0ms
(sqrt (- 1 (* 3 (* v v))))

series498.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
335.0ms
(* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))
87.0ms
(sqrt (- 1 (* 3 (* v v))))
44.0ms
(* 3 (* v v))
32.0ms
(* 3 (* v v))

simplify3.0m

Counts
750 → 458
Calls
750 calls:
Slowest
882.0ms
(* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))))
838.0ms
(* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))
709.0ms
(* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v))))))
689.0ms
(* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v))))))
613.0ms
(* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))))

prune9.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes92.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.6s8000×body80valid
1.2s8062×body80nan