Details

Time bar (total: 24.3s)

sample97.0ms

Algorithm
intervals
Results
43.0ms256×body80valid
36.0ms275×body80nan

simplify1.4s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
26×associate-*l*
22×times-frac add-cbrt-cube add-exp-log
21×*-un-lft-identity
20×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
3×*-commutative add-log-exp
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp difference-of-squares
1×div-inv
Counts
3 → 114
Calls
3 calls:
56.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
17.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
16.0ms
(* 3 (* v v))

series596.0ms

Counts
3 → 9
Calls
3 calls:
351.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
205.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
39.0ms
(* 3 (* v v))

simplify1.6s

Counts
123 → 123
Iterations
IterNodes
22766
1757
0248

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize39.0ms

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))))))

rewrite119.0ms

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×frac-times flip3-- *-commutative 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 → 119
Calls
4 calls:
17.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
15.0ms
(* 3 (* v v))
22.0ms
(* 3 (* v v))
64.0ms
(* (- (* v v)) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))

series558.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
32.0ms
(* 3 (* v v))
50.0ms
(* 3 (* v v))
277.0ms
(* (- (* v v)) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))

simplify743.0ms

Counts
131 → 131
Iterations
IterNodes
22249
1594
0214

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize40.0ms

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)))))

rewrite462.0ms

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
17×pow-prod-up
16×add-sqr-sqrt
12×*-un-lft-identity pow1/2 prod-exp cbrt-unprod
11×associate-*r* associate-*l* pow-sqr add-cube-cbrt
4×swap-sqr *-commutative sqrt-prod add-log-exp
3×unswap-sqr
2×distribute-rgt-in sub-neg distribute-lft-in difference-of-squares
1×pow2 cbrt-undiv rem-square-sqrt pow-plus sqrt-unprod div-exp
Counts
4 → 470
Calls
4 calls:
49.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
18.0ms
(* 3 (* v v))
12.0ms
(* 3 (* v v))
338.0ms
(* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
330.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
45.0ms
(* 3 (* v v))
48.0ms
(* 3 (* v v))
736.0ms
(* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))

simplify2.0s

Counts
482 → 482
Iterations
IterNodes
23323
11383
0869

prune9.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify19.0ms

Iterations
IterNodes
545
445
343
230
126
016

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.6s8000×body80valid
1.2s8255×body80nan