Details

Time bar (total: 1.1m)

sample122.0ms

Algorithm
intervals
Results
64.0ms256×body80valid
37.0ms241×body80nan

simplify269.0ms

Calls
1 calls:
Slowest
269.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize64.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))
0.3b
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
0.2b
(* PI t)
0.2b
(* 3 (* v v))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
15×add-cbrt-cube add-exp-log
8×flip3-- sqrt-div associate-/r/ flip--
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow1
5×associate-*r*
4×expm1-log1p-u frac-times prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv times-frac div-exp *-commutative associate-/l*
2×associate-*l/ associate-/l/
1×clear-num associate-/r* frac-2neg div-sub associate-*l* pow-prod-down sqrt-prod div-inv
Calls
4 calls:
Slowest
27.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
12.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))
2.0ms
(* 3 (* v v))
0.0ms
(* PI t)

series549.0ms

Calls
4 calls:
Slowest
331.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
152.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))
47.0ms
(* PI t)
19.0ms
(* 3 (* v v))

simplify10.5s

Calls
47 calls:
Slowest
1.5s
(/ (* (* (- 1 (* 5 (* v v))) (- 1 (* 5 (* v v)))) (- 1 (* 5 (* v v)))) (* (* (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))))
984.0ms
(/ (* (* (- 1 (* 5 (* v v))) (- 1 (* 5 (* v v)))) (- 1 (* 5 (* v v)))) (* (* (* (* (* PI t) (* PI t)) (* PI t)) (* (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (sqrt (* 2 (- 1 (* 3 (* v v))))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))))
789.0ms
(/ (* (* (- 1 (* 5 (* v v))) (- 1 (* 5 (* v v)))) (- 1 (* 5 (* v v)))) (* (* (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))) (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))))
394.0ms
(- (log (- 1 (* 5 (* v v)))) (log (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))))
391.0ms
(sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (/ (/ 1 t) PI) (sqrt (fma -6 (* v v) 2)))
0.3b
(/ (/ 1 t) PI)
0.1b
(* 5 (* v v))
0.0b
(sqrt (fma -6 (* v v) 2))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt times-frac
23×*-un-lft-identity add-cube-cbrt
18×sqrt-prod
10×div-inv
8×associate-/l*
6×associate-/r* add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg associate-/l/
1×cbrt-undiv rem-sqrt-square pow1/2 div-exp associate-*r* *-commutative
Calls
4 calls:
Slowest
7.0ms
(/ (/ (/ 1 t) PI) (sqrt (fma -6 (* v v) 2)))
3.0ms
(/ (/ 1 t) PI)
1.0ms
(* 5 (* v v))
1.0ms
(sqrt (fma -6 (* v v) 2))

series252.0ms

Calls
4 calls:
Slowest
139.0ms
(/ (/ (/ 1 t) PI) (sqrt (fma -6 (* v v) 2)))
64.0ms
(/ (/ 1 t) PI)
37.0ms
(sqrt (fma -6 (* v v) 2))
12.0ms
(* 5 (* v v))

simplify5.4s

Calls
78 calls:
Slowest
444.0ms
(/ 1 (* t PI))
368.0ms
(- (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6))) (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))))
319.0ms
(- (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))) (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6))))
281.0ms
(- (/ (sqrt -1/6) (* t (* v PI))) (* 1/36 (/ 1 (* t (* (pow v 3) (* PI (sqrt -1/6)))))))
264.0ms
(+ (* 3/4 (/ (pow v 2) (* t (* PI (sqrt 1/2))))) (/ (sqrt 1/2) (* t PI)))

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 1 t) (/ (sqrt (fma -6 (* v v) 2)) (/ 1 PI)))
0.1b
(* 5 (* v v))
0.0b
(/ (sqrt (fma -6 (* v v) 2)) (/ 1 PI))
0.0b
(sqrt (fma -6 (* v v) 2))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
260×times-frac
128×add-sqr-sqrt
127×*-un-lft-identity add-cube-cbrt
78×sqrt-prod
74×div-inv
33×associate-/r*
11×add-cbrt-cube add-exp-log
10×associate-/l*
7×associate-/r/
4×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×rem-sqrt-square pow1/2 associate-*r* *-commutative associate-/l/
Calls
4 calls:
Slowest
6.0ms
(/ (/ 1 t) (/ (sqrt (fma -6 (* v v) 2)) (/ 1 PI)))
5.0ms
(/ (sqrt (fma -6 (* v v) 2)) (/ 1 PI))
1.0ms
(* 5 (* v v))
1.0ms
(sqrt (fma -6 (* v v) 2))

series285.0ms

Calls
4 calls:
Slowest
168.0ms
(/ (/ 1 t) (/ (sqrt (fma -6 (* v v) 2)) (/ 1 PI)))
68.0ms
(/ (sqrt (fma -6 (* v v) 2)) (/ 1 PI))
37.0ms
(sqrt (fma -6 (* v v) 2))
11.0ms
(* 5 (* v v))

simplify28.7s

Calls
342 calls:
Slowest
391.0ms
(/ (* (cbrt (/ 1 t)) (cbrt (/ 1 t))) (/ (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2)))) (* (cbrt (/ 1 PI)) (cbrt (/ 1 PI)))))
325.0ms
(- (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6))) (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))))
297.0ms
(+ (* 3/4 (/ (pow v 2) (* t (* PI (sqrt 1/2))))) (/ (sqrt 1/2) (* t PI)))
296.0ms
(- (+ (/ PI (* v (sqrt -6))) (* v (* (sqrt -6) PI))) (* 1/2 (/ PI (* (pow v 3) (pow (sqrt -6) 3)))))
290.0ms
(- (/ (sqrt -1/6) (* t (* v PI))) (* 1/36 (/ 1 (* t (* (pow v 3) (* PI (sqrt -1/6)))))))

prune2.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (/ 1 t) (sqrt (fma -6 (* v v) 2)))
0.4b
(* (/ (/ 1 t) (sqrt (fma -6 (* v v) 2))) (/ 1 PI))
0.1b
(* 5 (* v v))
0.0b
(sqrt (fma -6 (* v v) 2))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
39×add-sqr-sqrt
38×*-un-lft-identity add-cube-cbrt
30×sqrt-prod
28×associate-*l*
16×div-inv
11×add-cbrt-cube add-exp-log
6×pow1 associate-/r*
5×associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv div-exp prod-exp *-commutative cbrt-unprod
1×frac-times rem-sqrt-square clear-num frac-2neg pow1/2 pow-prod-down associate-*l/ associate-*r/ un-div-inv associate-/l/
Calls
4 calls:
Slowest
15.0ms
(* (/ (/ 1 t) (sqrt (fma -6 (* v v) 2))) (/ 1 PI))
9.0ms
(/ (/ 1 t) (sqrt (fma -6 (* v v) 2)))
2.0ms
(* 5 (* v v))
2.0ms
(sqrt (fma -6 (* v v) 2))

series242.0ms

Calls
4 calls:
Slowest
145.0ms
(* (/ (/ 1 t) (sqrt (fma -6 (* v v) 2))) (/ 1 PI))
48.0ms
(/ (/ 1 t) (sqrt (fma -6 (* v v) 2)))
31.0ms
(sqrt (fma -6 (* v v) 2))
18.0ms
(* 5 (* v v))

simplify7.3s

Calls
113 calls:
Slowest
767.0ms
(* (* (* (/ (/ 1 t) (sqrt (fma -6 (* v v) 2))) (/ (/ 1 t) (sqrt (fma -6 (* v v) 2)))) (/ (/ 1 t) (sqrt (fma -6 (* v v) 2)))) (* (* (/ 1 PI) (/ 1 PI)) (/ 1 PI)))
406.0ms
(- (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))) (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6))))
405.0ms
(- (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6))) (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))))
328.0ms
(- (/ (sqrt -1/6) (* t (* v PI))) (* 1/36 (/ 1 (* t (* (pow v 3) (* PI (sqrt -1/6)))))))
310.0ms
(- (* 1/36 (/ 1 (* t (* (pow v 3) (* PI (sqrt -1/6)))))) (/ (sqrt -1/6) (* t (* v PI))))

prune2.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes284.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch4.0ms

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.9s8001×body80valid
1.6s8082×body80nan