Details

Time bar (total: 9.8s)

sample29.0ms

Algorithm
intervals
Results
9.0ms259×body80nan
9.0ms256×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01419
12719
26919
316619
431619
557519
682519
792019
893819
done93819

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b
(* 3.0 (* v v))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
26×associate-*l*
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity times-frac
20×sqrt-prod
18×frac-times sqrt-div
17×pow1
15×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
associate-*l/
pow-prod-down unswap-sqr
add-log-exp
*-commutative
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 128
Calls
4 calls:
33.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
20.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
10.0ms
(* 3.0 (* v v))

series602.0ms

Counts
4 → 12
Calls
4 calls:
303.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
77.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
194.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
27.0ms
(* 3.0 (* v v))

simplify969.0ms

Counts
140 → 140
Iterations

Useful iterations: 2 (378.0ms)

IterNodesCost
02783102
18042836
230192648
done50002648

prune368.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (log (exp (* 3.0 (* v v))))))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))
0.2b
(* 3.0 (* v v))
3.2b
(log (exp (* 3.0 (* v v))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
28×*-un-lft-identity
26×sqrt-prod
25×associate-*l*
22×add-cube-cbrt times-frac
15×pow1
14×add-exp-log add-cbrt-cube
10×associate-*r*
unswap-sqr
sqrt-div
prod-exp log-pow cbrt-unprod add-log-exp
pow-prod-down distribute-lft-out--
log-prod flip3-- flip--
frac-times associate-*r/ *-commutative difference-of-squares
cbrt-undiv rem-sqrt-square exp-prod exp-to-pow sqrt-pow1 pow1/2 div-exp rem-log-exp associate-*l/ div-inv
Counts
4 → 106
Calls
4 calls:
7.0ms
(sqrt (- 1.0 (log (exp (* 3.0 (* v v))))))
29.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))
7.0ms
(* 3.0 (* v v))
2.0ms
(log (exp (* 3.0 (* v v))))

series341.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(sqrt (- 1.0 (log (exp (* 3.0 (* v v))))))
205.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))
29.0ms
(* 3.0 (* v v))
25.0ms
(log (exp (* 3.0 (* v v))))

simplify717.0ms

Counts
118 → 118
Iterations

Useful iterations: 2 (189.0ms)

IterNodesCost
02131949
14901588
214771510
done50011510

prune332.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
28.9b
(sqrt (* 3.0 (* v v)))
28.9b
(sqrt (* 3.0 (* v v)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
26×pow1
14×add-exp-log add-cbrt-cube
12×pow-prod-down
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity sqrt-pow1 associate-*l* prod-exp cbrt-unprod
add-log-exp
pow1/2 associate-*r* sqrt-prod *-commutative unswap-sqr
Counts
4 → 62
Calls
4 calls:
7.0ms
(* 3.0 (* v v))
7.0ms
(* 3.0 (* v v))
6.0ms
(sqrt (* 3.0 (* v v)))
5.0ms
(sqrt (* 3.0 (* v v)))

series132.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 3.0 (* v v))
25.0ms
(* 3.0 (* v v))
35.0ms
(sqrt (* 3.0 (* v v)))
40.0ms
(sqrt (* 3.0 (* v v)))

simplify3.8s

Counts
74 → 74
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
047522
1100482
2298414
31008414
43465414
done5001414

prune255.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01621
11921
done1921

end0.0ms

sample767.0ms

Algorithm
intervals
Results
295.0ms8095×body80nan
288.0ms8000×body80valid