Details

Time bar (total: 18.8s)

sample49.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
14.0ms231×body80nan

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01419
12719
27019
318019
435619
565719
693519
7105219
8113319
done113319

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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)))))
0.2b
(* 3.0 (* v v))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
26×associate-*l*
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity 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
4×add-log-exp
3×*-commutative
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 128
Calls
4 calls:
103.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
9.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
58.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
19.0ms
(* 3.0 (* v v))

series881.0ms

Counts
4 → 12
Calls
4 calls:
468.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
111.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
260.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
41.0ms
(* 3.0 (* v v))

simplify2.0s

Counts
140 → 140
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02783102
17962836
229622648
done50022638

prune595.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
0.0b
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))

rewrite515.0ms

Algorithm
rewrite-expression-head
Rules
152×sqrt-div
84×frac-times
56×flip3-- flip--
50×add-sqr-sqrt
42×associate-*l/
33×add-exp-log add-cbrt-cube
30×sqrt-prod
29×associate-*l*
28×associate-*r/
25×pow1
24×times-frac
23×add-cube-cbrt *-un-lft-identity
17×prod-exp cbrt-unprod
15×associate-*r*
13×pow-prod-down
11×unswap-sqr
4×*-commutative add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
1×div-inv difference-of-squares
Counts
4 → 177
Calls
4 calls:
58.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
391.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
33.0ms
(* 3.0 (* v v))
19.0ms
(* 3.0 (* v v))

series958.0ms

Counts
4 → 12
Calls
4 calls:
441.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
447.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
30.0ms
(* 3.0 (* v v))
40.0ms
(* 3.0 (* v v))

simplify854.0ms

Counts
189 → 189
Iterations

Useful iterations: done (835.0ms)

IterNodesCost
04136598
112885417
done50004949

prune931.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
1.0b
(* (sqrt (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))) (sqrt (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))

rewrite792.0ms

Algorithm
rewrite-expression-head
Rules
1048×sqrt-div
867×frac-times
434×flip3-- flip--
307×associate-*r/
306×associate-*l/
143×pow1
78×pow-prod-down
60×sqrt-pow1
45×add-sqr-sqrt
32×associate-*l*
25×add-cube-cbrt *-un-lft-identity
22×times-frac
21×add-exp-log sqrt-prod add-cbrt-cube
17×pow-prod-up
12×pow1/2 associate-*r*
11×pow-sqr
9×prod-exp cbrt-unprod unswap-sqr
4×swap-sqr *-commutative add-log-exp
1×cbrt-undiv pow2 pow-plus sqrt-unprod div-exp rem-square-sqrt div-inv
Counts
4 → 479
Calls
4 calls:
52.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
20.0ms
(* 3.0 (* v v))
20.0ms
(* 3.0 (* v v))
609.0ms
(* (sqrt (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))) (sqrt (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))

series948.0ms

Counts
4 → 12
Calls
4 calls:
286.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
48.0ms
(* 3.0 (* v v))
36.0ms
(* 3.0 (* v v))
577.0ms
(* (sqrt (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))) (sqrt (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))

simplify3.0s

Counts
491 → 491
Iterations

Useful iterations: done (3.0s)

IterNodesCost
093633637
1144428225
2400627518
done500027425

prune2.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01630
12030
done2030

end0.0ms

sample2.0s

Algorithm
intervals
Results
782.0ms8000×body80valid
777.0ms7982×body80nan