Details

Time bar (total: 9.1s)

sample30.0ms

Algorithm
intervals
Results
9.0ms272×body80nan
9.0ms256×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01419
12719
26919
317919
436919
566519
694019
7106219
8110419
9111019
done111019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b
(* 3.0 (* v v))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
26×associate-*l*
24×add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
22×times-frac
20×sqrt-prod
18×frac-times sqrt-div
17×pow1
15×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×cbrt-undiv sub-neg div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 142
Calls
4 calls:
31.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
20.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))

series606.0ms

Counts
4 → 12
Calls
4 calls:
306.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
77.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
194.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
28.0ms
(* 3.0 (* v v))

simplify1.2s

Counts
154 → 154
Iterations

Useful iterations: 2 (288.0ms)

IterNodesCost
03013466
18743206
236992946
done50002946

prune465.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)) (- 1.0 (* v v)))
0.0b
(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
0.1b
(* 3.0 (* v v))
1.0b
(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
25×cube-div
20×frac-times cbrt-div sqrt-div
19×add-sqr-sqrt
18×cbrt-prod
17×add-exp-log
16×flip3-- add-cbrt-cube flip--
14×pow1 associate-*l*
12×add-cube-cbrt *-un-lft-identity associate-*r/
10×associate-*l/
6×prod-diff prod-exp cbrt-unprod
5×distribute-rgt-in distribute-lft-in associate-*r* pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr sqr-pow
3×cube-mult unpow-prod-down pow-unpow unpow3 cube-prod pow-exp rem-cube-cbrt
2×sub-neg pow-pow *-commutative
1×cbrt-undiv pow-to-exp pow1/3 div-exp rem-cbrt-cube difference-of-squares
Counts
4 → 134
Calls
4 calls:
20.0ms
(* (cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)) (- 1.0 (* v v)))
2.0ms
(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
6.0ms
(* 3.0 (* v v))
8.0ms
(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

series1.0s

Counts
4 → 12
Calls
4 calls:
318.0ms
(* (cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)) (- 1.0 (* v v)))
172.0ms
(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
24.0ms
(* 3.0 (* v v))
489.0ms
(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

simplify1.1s

Counts
146 → 146
Iterations

Useful iterations: 2 (286.0ms)

IterNodesCost
03053903
18573358
238823114
done50013114

prune462.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma 0.25 (* (sqrt 2.0) (* (pow v 2) (sqrt 1.0))) (fma 0.28125 (/ (* (sqrt 2.0) (pow v 4)) (pow (sqrt 1.0) 3)) (* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))))
0.2b
(* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))
0.2b
(* (sqrt 2.0) (pow v 2))
0.2b
(* (sqrt 2.0) (* (pow v 2) (sqrt 1.0)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
28×add-sqr-sqrt
20×add-cbrt-cube
19×associate-*r*
18×prod-exp
15×associate-*l*
14×add-cube-cbrt *-un-lft-identity
13×sqrt-prod
9×unswap-sqr
8×pow1 cbrt-unprod
6×times-frac
5×unpow-prod-down
4×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×pow-to-exp pow-exp *-commutative unpow2 sqr-pow
2×cbrt-undiv pow-prod-down
1×associate-*r/ fma-udef div-inv
Counts
4 → 104
Calls
4 calls:
0.0ms
(fma 0.25 (* (sqrt 2.0) (* (pow v 2) (sqrt 1.0))) (fma 0.28125 (/ (* (sqrt 2.0) (pow v 4)) (pow (sqrt 1.0) 3)) (* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))))
14.0ms
(* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))
7.0ms
(* (sqrt 2.0) (pow v 2))
12.0ms
(* (sqrt 2.0) (* (pow v 2) (sqrt 1.0)))

series807.0ms

Counts
4 → 12
Calls
4 calls:
548.0ms
(fma 0.25 (* (sqrt 2.0) (* (pow v 2) (sqrt 1.0))) (fma 0.28125 (/ (* (sqrt 2.0) (pow v 4)) (pow (sqrt 1.0) 3)) (* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))))
114.0ms
(* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))
51.0ms
(* (sqrt 2.0) (pow v 2))
94.0ms
(* (sqrt 2.0) (* (pow v 2) (sqrt 1.0)))

simplify751.0ms

Counts
116 → 116
Iterations

Useful iterations: 2 (155.0ms)

IterNodesCost
01741775
14141647
219311450
done50011450

prune473.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01722
12022
done2022

end0.0ms

sample779.0ms

Algorithm
intervals
Results
299.0ms8000×body80valid
298.0ms8079×body80nan