Details

Time bar (total: 25.7s)

sample62.0ms

Algorithm
intervals
Results
25.0ms275×body80nan
23.0ms256×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
62589
51659
4778
3233
271
127
014

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

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))

rewrite122.0ms

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 log1p-expm1-u add-log-exp
2×cbrt-undiv sub-neg div-exp difference-of-squares
1×div-inv
Counts
3 → 126
Calls
3 calls:
56.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
40.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
24.0ms
(* 3 (* v v))

series629.0ms

Counts
3 → 9
Calls
3 calls:
315.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
264.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
49.0ms
(* 3 (* v v))

simplify1.7s

Counts
135 → 135
Iterations
IterNodes
22913
1821
0269

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
34×associate-*l*
28×add-cbrt-cube add-exp-log
22×*-un-lft-identity times-frac add-cube-cbrt
21×pow1
17×sqrt-prod
13×prod-exp cbrt-unprod
10×pow-prod-down
9×associate-*r* associate-*r/
8×sqrt-div unswap-sqr
4×expm1-log1p-u frac-times flip3-- *-commutative log1p-expm1-u flip-- add-log-exp
2×cbrt-undiv div-exp associate-*l/
1×distribute-lft-neg-out distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in div-inv
Counts
4 → 127
Calls
4 calls:
22.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
20.0ms
(* 3 (* v v))
13.0ms
(* 3 (* v v))
43.0ms
(* (- (* v v)) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))

series529.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
49.0ms
(* 3 (* v v))
28.0ms
(* 3 (* v v))
231.0ms
(* (- (* v v)) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))

simplify822.0ms

Counts
139 → 139
Iterations
IterNodes
22396
1611
0220

prune1.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
0.2b
(* 3 (* v v))
0.2b
(* 3 (* v v))
1.0b
(* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))

rewrite526.0ms

Algorithm
rewrite-expression-head
Rules
1056×sqrt-div
881×frac-times
444×flip3-- flip--
313×associate-*l/ associate-*r/
146×pow1
80×pow-prod-down
60×sqrt-pow1
25×add-cbrt-cube add-exp-log
18×add-sqr-sqrt
17×pow-prod-up
14×*-un-lft-identity
13×add-cube-cbrt
12×pow1/2 prod-exp cbrt-unprod
11×associate-*r* associate-*l* pow-sqr
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u swap-sqr *-commutative sqrt-prod log1p-expm1-u add-log-exp
3×unswap-sqr
2×sub-neg difference-of-squares
1×pow2 cbrt-undiv rem-square-sqrt pow-plus sqrt-unprod div-exp
Counts
4 → 484
Calls
4 calls:
61.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
26.0ms
(* 3 (* v v))
16.0ms
(* 3 (* v v))
388.0ms
(* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
370.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
31.0ms
(* 3 (* v v))
27.0ms
(* 3 (* v v))
695.0ms
(* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))

simplify2.3s

Counts
496 → 496
Iterations
IterNodes
23627
11444
0890

prune9.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes88.0ms

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
545
445
343
230
126
016

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.5s8000×body80valid
1.2s8255×body80nan