Details

Time bar (total: 22.0s)

sample77.0ms

Algorithm
intervals
Results
29.0ms250×body80nan
29.0ms256×body80valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done2088
62088
51910
4775
3235
273
129
014

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
25×associate-*l*
23×*-un-lft-identity add-cube-cbrt
22×times-frac
20×sqrt-prod
14×add-cbrt-cube add-exp-log
12×pow1
7×associate-*r* unswap-sqr
6×sqrt-div add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u flip3-- pow-prod-down insert-posit16 log1p-expm1-u flip--
3×fma-neg prod-diff
2×frac-times associate-*r/ *-commutative
1×cbrt-undiv rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log div-exp associate-*l/ div-inv
Counts
4 → 116
Calls
4 calls:
12.0ms
(- 1 (* 3 (* v v)))
11.0ms
(sqrt (- 1 (* 3 (* v v))))
44.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
24.0ms
(* 3 (* v v))

series453.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(- 1 (* 3 (* v v)))
97.0ms
(sqrt (- 1 (* 3 (* v v))))
238.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
48.0ms
(* 3 (* v v))

simplify1.2s

Counts
128 → 128
Iterations
IterNodes
done2098
32098
21557
1530
0210

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
76×sqrt-prod
72×sqrt-div
68×add-sqr-sqrt
42×pow1
37×associate-*l*
32×sqrt-pow1
31×*-un-lft-identity add-cube-cbrt
28×add-cbrt-cube add-exp-log
20×frac-times times-frac
18×flip3-- flip--
16×pow1/2
15×swap-sqr
14×pow-prod-down associate-*r/ unswap-sqr
13×prod-exp cbrt-unprod
12×associate-*r*
9×pow-prod-up
7×associate-*l/
5×pow-sqr
4×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp
1×pow2 rem-square-sqrt pow-plus sqrt-unprod div-inv
Counts
4 → 194
Calls
4 calls:
98.0ms
(* (/ (sqrt 2) 4) (* (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (sqrt (- 1 (* 3 (* v v)))))))
26.0ms
(* (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (sqrt (- 1 (* 3 (* v v))))))
13.0ms
(* 3 (* v v))
31.0ms
(* 3 (* v v))

series451.0ms

Counts
4 → 12
Calls
4 calls:
257.0ms
(* (/ (sqrt 2) 4) (* (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (sqrt (- 1 (* 3 (* v v)))))))
106.0ms
(* (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (sqrt (- 1 (* 3 (* v v))))))
35.0ms
(* 3 (* v v))
52.0ms
(* 3 (* v v))

simplify1.6s

Counts
206 → 206
Iterations
IterNodes
done2004
32004
21977
1698
0275

prune2.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (log1p (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))
0.0b
(sqrt (- 1 (* 3 (* v v))))
0.0b
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.1b
(* 3 (* v v))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
25×associate-*l*
22×times-frac
21×*-un-lft-identity add-cube-cbrt
20×sqrt-prod
14×add-cbrt-cube add-exp-log
12×pow1
7×associate-*r* unswap-sqr
6×sqrt-div
5×prod-exp cbrt-unprod
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×flip3-- flip--
2×frac-times associate-*r/ *-commutative
1×cbrt-undiv rem-sqrt-square expm1-log1p sqrt-pow1 pow1/2 div-exp associate-*l/ div-inv expm1-udef
Counts
4 → 107
Calls
4 calls:
0.0ms
(expm1 (log1p (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))
5.0ms
(sqrt (- 1 (* 3 (* v v))))
19.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
18.0ms
(* 3 (* v v))

series957.0ms

Counts
4 → 12
Calls
4 calls:
604.0ms
(expm1 (log1p (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))
85.0ms
(sqrt (- 1 (* 3 (* v v))))
224.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
44.0ms
(* 3 (* v v))

simplify1.4s

Counts
119 → 119
Iterations
IterNodes
done2001
32001
21857
1587
0231

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.1b
(* 3 (* v v))
0.1b
(* 3 (* v v))
1.0b
(* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
112×sqrt-div
65×pow1
51×frac-times
45×add-sqr-sqrt
32×associate-*l*
31×associate-*r/
28×sqrt-pow1
27×pow-prod-down
26×flip3-- flip--
25×*-un-lft-identity add-cube-cbrt
22×times-frac
21×add-cbrt-cube add-exp-log sqrt-prod
18×associate-*l/
12×associate-*r*
10×pow1/2 pow-prod-up
9×prod-exp cbrt-unprod unswap-sqr
6×pow-sqr
4×expm1-log1p-u swap-sqr *-commutative insert-posit16 log1p-expm1-u add-log-exp
1×pow2 cbrt-undiv rem-square-sqrt pow-plus sqrt-unprod div-exp div-inv
Counts
4 → 186
Calls
4 calls:
40.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
26.0ms
(* 3 (* v v))
22.0ms
(* 3 (* v v))
103.0ms
(* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))

series508.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
50.0ms
(* 3 (* v v))
33.0ms
(* 3 (* v v))
212.0ms
(* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))

simplify1.5s

Counts
198 → 198
Iterations
IterNodes
done2002
32002
21993
1615
0276

prune2.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done21
121
016

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.7s8000×body80valid
1.2s7995×body80nan