Details

Time bar (total: 20.8s)

sample75.0ms

Algorithm
intervals
Results
27.0ms256×body80valid
26.0ms248×body80nan

simplify4.1s

Counts
1 → 1
Iterations
IterNodes
done5002
64562
51910
4775
3235
273
129
014

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
26×*-un-lft-identity associate-*l*
25×add-cube-cbrt
23×add-cbrt-cube add-exp-log
22×times-frac
18×frac-times
17×sqrt-prod
16×pow1 sqrt-div
15×flip3-- flip--
12×associate-*r*
10×prod-exp associate-*r/ cbrt-unprod
9×prod-diff associate-*l/
7×pow-prod-down unswap-sqr
6×add-log-exp
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×sub-neg fma-neg *-commutative
2×cbrt-undiv div-exp difference-of-squares
1×diff-log div-inv
Counts
4 → 150
Calls
4 calls:
24.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
87.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
7.0ms
(- 1 (* 3 (* v v)))
15.0ms
(* 3 (* v v))

series622.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
281.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
85.0ms
(- 1 (* 3 (* v v)))
52.0ms
(* 3 (* v v))

simplify2.1s

Counts
162 → 162
Iterations
IterNodes
done5008
23196
1875
0289

prune727.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3 (* v v))
0.1b
(* 3 (* v v))
0.1b
(* 3 (* v v))
1.0b
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
58×pow1
55×add-cbrt-cube add-exp-log
49×frac-times
48×sqrt-div
30×prod-exp cbrt-unprod
29×associate-*r/
26×pow-prod-down
24×flip3-- flip--
17×associate-*l/
10×add-sqr-sqrt associate-*l*
7×*-un-lft-identity add-cube-cbrt
6×cbrt-undiv div-exp
4×expm1-log1p-u associate-*r* pow-sqr *-commutative pow-prod-up insert-posit16 log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow-plus
1×pow2 swap-sqr
Counts
4 → 148
Calls
4 calls:
18.0ms
(* 3 (* v v))
15.0ms
(* 3 (* v v))
21.0ms
(* 3 (* v v))
77.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))

series361.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* 3 (* v v))
36.0ms
(* 3 (* v v))
39.0ms
(* 3 (* v v))
252.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))

simplify1.5s

Counts
160 → 160
Iterations
IterNodes
done5001
21752
1522
0181

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1 (* 3 (* v v)))
0.1b
(* 3 (* v v))
0.1b
(* 3 (* v v))
0.1b
(* 3 (* v v))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-cbrt-cube add-exp-log
12×add-sqr-sqrt
9×*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
6×add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×fma-neg associate-*r* prod-diff *-commutative unswap-sqr
1×sub-neg flip3-- diff-log flip--
Counts
4 → 87
Calls
4 calls:
6.0ms
(- 1 (* 3 (* v v)))
15.0ms
(* 3 (* v v))
29.0ms
(* 3 (* v v))
16.0ms
(* 3 (* v v))

series200.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- 1 (* 3 (* v v)))
39.0ms
(* 3 (* v v))
38.0ms
(* 3 (* v v))
40.0ms
(* 3 (* v v))

simplify1.9s

Counts
99 → 99
Iterations
IterNodes
done5009
31708
2477
1192
072

prune703.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
0.0b
(- 1 (* 3 (* v v)))
0.0b
(log (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))
0.1b
(* 3 (* v v))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
18×add-cbrt-cube add-exp-log
16×frac-times
15×add-sqr-sqrt pow1 prod-diff
14×*-un-lft-identity
13×log-prod flip3-- add-cube-cbrt flip--
12×sqrt-div
10×distribute-rgt-in distribute-lft-in exp-sum
8×associate-*l/ prod-exp associate-*r/ cbrt-unprod
7×add-log-exp
6×associate-*r* pow-prod-down
5×sub-neg
4×expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u
3×fma-neg log-pow
2×*-commutative difference-of-squares
1×cbrt-undiv exp-prod exp-to-pow diff-log div-exp rem-log-exp unswap-sqr
Counts
4 → 122
Calls
4 calls:
65.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
6.0ms
(- 1 (* 3 (* v v)))
11.0ms
(log (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))
21.0ms
(* 3 (* v v))

series856.0ms

Counts
4 → 12
Calls
4 calls:
339.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
82.0ms
(- 1 (* 3 (* v v)))
381.0ms
(log (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))
54.0ms
(* 3 (* v v))

simplify2.8s

Counts
134 → 134
Iterations
IterNodes
done5002
22758
1789
0270

prune833.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes101.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done26
126
019

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.3s8000×body80valid
736.0ms8112×body80nan