Details

Time bar (total: 23.0s)

sample102.0ms

Algorithm
intervals
Results
46.0ms256×body80valid
37.0ms250×body80nan

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
62299
51497
4711
3221
271
127
014

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

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))

rewrite58.0ms

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 add-log-exp
5×prod-exp cbrt-unprod
4×flip3-- pow-prod-down insert-posit16 flip--
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 → 102
Calls
4 calls:
5.0ms
(- 1 (* 3 (* v v)))
4.0ms
(sqrt (- 1 (* 3 (* v v))))
24.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
22.0ms
(* 3 (* v v))

series413.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- 1 (* 3 (* v v)))
104.0ms
(sqrt (- 1 (* 3 (* v v))))
193.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
29.0ms
(* 3 (* v v))

simplify3.6s

Counts
114 → 114
Iterations
IterNodes
35583
21433
1482
0193

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
33×sqrt-prod
28×associate-*l*
24×times-frac
23×*-un-lft-identity add-cube-cbrt
19×add-cbrt-cube add-exp-log
17×pow1
11×associate-*r* unswap-sqr
10×sqrt-div
8×prod-exp cbrt-unprod
7×pow-prod-down
4×insert-posit16 add-log-exp
3×flip3-- *-commutative flip--
2×frac-times associate-*r/
1×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ div-inv
Counts
4 → 115
Calls
4 calls:
8.0ms
(sqrt (- 1 (* 3 (* v v))))
41.0ms
(* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* 3 (* v v))))))
34.0ms
(* 3 (* v v))
27.0ms
(* 3 (* v v))

series388.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(sqrt (- 1 (* 3 (* v v))))
216.0ms
(* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* 3 (* v v))))))
30.0ms
(* 3 (* v v))
40.0ms
(* 3 (* v v))

simplify4.0s

Counts
127 → 127
Iterations
IterNodes
36956
21592
1535
0219

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize35.0ms

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)))))))

rewrite153.0ms

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×swap-sqr *-commutative insert-posit16 add-log-exp
1×pow2 cbrt-undiv rem-square-sqrt pow-plus sqrt-unprod div-exp div-inv
Counts
4 → 178
Calls
4 calls:
30.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
26.0ms
(* 3 (* v v))
20.0ms
(* 3 (* v v))
72.0ms
(* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))

series521.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
34.0ms
(* 3 (* v v))
48.0ms
(* 3 (* v v))
224.0ms
(* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))

simplify3.7s

Counts
190 → 190
Iterations
IterNodes
36116
21598
1579
0270

prune2.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
217
117
014

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.6s8000×body80valid
1.2s7995×body80nan