Details

Time bar (total: 19.4s)

sample118.0ms

Algorithm
intervals
Results
57.0ms256×body80valid
40.0ms239×body80nan

simplify4.6s

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

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
0.0b
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.2b
(* 3 (* v v))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
26×associate-*l*
23×*-un-lft-identity
22×times-frac add-cbrt-cube add-exp-log add-cube-cbrt
18×frac-times
17×sqrt-prod
16×sqrt-div
15×pow1
14×flip3-- flip--
12×associate-*r*
10×prod-exp associate-*r/ cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
6×prod-diff
5×distribute-rgt-in distribute-lft-in
3×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv sub-neg div-exp difference-of-squares
1×div-inv
Counts
3 → 129
Calls
3 calls:
61.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
21.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
22.0ms
(* 3 (* v v))

series516.0ms

Counts
3 → 9
Calls
3 calls:
280.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
207.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
28.0ms
(* 3 (* v v))

simplify2.3s

Counts
138 → 138
Iterations
IterNodes
done5001
23085
1825
0272

prune693.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (sqrt 2) (sqrt (fma -3 (* v v) 1))) (- 1 (* (* v v) (* v v))))
0.0b
(* (sqrt 2) (sqrt (fma -3 (* v v) 1)))
0.0b
(/ (* (* (sqrt 2) (sqrt (fma -3 (* v v) 1))) (- 1 (* (* v v) (* v v)))) (fma (* v v) 4 4))
0.2b
(* (* v v) (* v v))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
124×pow1
36×pow-prod-up
32×add-cbrt-cube add-exp-log
29×pow-prod-down
22×add-sqr-sqrt pow-sqr
18×pow-plus
15×prod-exp cbrt-unprod
14×*-un-lft-identity
13×pow2 add-cube-cbrt
12×associate-*r*
10×sqrt-prod
8×associate-*l*
6×prod-diff
5×distribute-rgt-in distribute-lft-in unswap-sqr
4×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv associate-/r* times-frac div-exp *-commutative
2×sub-neg sqrt-pow1 flip3-- pow1/2 flip-- difference-of-squares associate-/l/
1×clear-num frac-2neg sqrt-unprod swap-sqr div-inv associate-/l*
Counts
4 → 162
Calls
4 calls:
46.0ms
(* (* (sqrt 2) (sqrt (fma -3 (* v v) 1))) (- 1 (* (* v v) (* v v))))
15.0ms
(* (sqrt 2) (sqrt (fma -3 (* v v) 1)))
31.0ms
(/ (* (* (sqrt 2) (sqrt (fma -3 (* v v) 1))) (- 1 (* (* v v) (* v v)))) (fma (* v v) 4 4))
38.0ms
(* (* v v) (* v v))

series859.0ms

Counts
4 → 12
Calls
4 calls:
235.0ms
(* (* (sqrt 2) (sqrt (fma -3 (* v v) 1))) (- 1 (* (* v v) (* v v))))
179.0ms
(* (sqrt 2) (sqrt (fma -3 (* v v) 1)))
395.0ms
(/ (* (* (sqrt 2) (sqrt (fma -3 (* v v) 1))) (- 1 (* (* v v) (* v v)))) (fma (* v v) 4 4))
50.0ms
(* (* v v) (* v v))

simplify2.0s

Counts
174 → 174
Iterations
IterNodes
done5022
22547
1750
0257

prune667.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* v v) (* v v))
0.2b
(* (* v v) (* v v))
0.2b
(* (* v v) (* v v))
1.0b
(* (* (* (sqrt 2) (sqrt (fma -3 (* v v) 1))) (- 1 (* (* v v) (* v v)))) (* (* (sqrt 2) (sqrt (fma -3 (* v v) 1))) (- 1 (* (* v v) (* v v)))))

rewrite345.0ms

Algorithm
rewrite-expression-head
Rules
451×pow1
135×pow-prod-down
117×pow-prod-up
76×add-cbrt-cube add-exp-log
75×pow-sqr
57×pow-plus
51×prod-exp cbrt-unprod
40×pow2
20×distribute-rgt-in distribute-lft-in
14×associate-*r/
12×prod-diff
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×flip3-- flip--
4×expm1-log1p-u frac-times sub-neg swap-sqr associate-*r* associate-*l* *-commutative insert-posit16 log1p-expm1-u add-log-exp
3×unswap-sqr
2×associate-*l/
Counts
4 → 289
Calls
4 calls:
32.0ms
(* (* v v) (* v v))
26.0ms
(* (* v v) (* v v))
41.0ms
(* (* v v) (* v v))
240.0ms
(* (* (* (sqrt 2) (sqrt (fma -3 (* v v) 1))) (- 1 (* (* v v) (* v v)))) (* (* (sqrt 2) (sqrt (fma -3 (* v v) 1))) (- 1 (* (* v v) (* v v)))))

series346.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (* v v) (* v v))
50.0ms
(* (* v v) (* v v))
50.0ms
(* (* v v) (* v v))
203.0ms
(* (* (* (sqrt 2) (sqrt (fma -3 (* v v) 1))) (- 1 (* (* v v) (* v v)))) (* (* (sqrt 2) (sqrt (fma -3 (* v v) 1))) (- 1 (* (* v v) (* v v)))))

simplify2.6s

Counts
301 → 301
Iterations
IterNodes
done5001
22265
1698
0194

prune814.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done26
126
020

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.7s8125×body80nan
1.1s8000×body80valid