Details

Time bar (total: 23.1s)

sample181.0ms

Algorithm
intervals
Results
87.0ms266×body80nan
62.0ms256×body80valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done2009
42009
3849
2162
146
019

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5 (* v v))
0.3b
(* PI t)
0.4b
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))
0.6b
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))

rewrite291.0ms

Algorithm
rewrite-expression-head
Rules
30×add-cbrt-cube add-exp-log
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×*-un-lft-identity add-cube-cbrt
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×expm1-log1p-u frac-times cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ unswap-sqr associate-/l/
1×clear-num associate-/r* frac-2neg div-sub sqrt-prod div-inv
Counts
4 → 106
Calls
4 calls:
27.0ms
(* 5 (* v v))
11.0ms
(* PI t)
59.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))
191.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))

series1.1s

Counts
4 → 12
Calls
4 calls:
50.0ms
(* 5 (* v v))
38.0ms
(* PI t)
288.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))
680.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))

simplify1.5s

Counts
118 → 118
Iterations
IterNodes
done2008
22008
1724
0241

prune814.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.4b
(* t (sqrt 2))
0.4b
(* t (sqrt 2))
4.2b
(/ (* (* v v) (* v v)) (* (* t (sqrt 2)) PI))
7.9b
(/ (* 5/2 (* v v)) (* (* t (sqrt 2)) PI))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
113×add-cbrt-cube add-exp-log
59×prod-exp cbrt-unprod
24×cbrt-undiv div-exp
18×add-sqr-sqrt
12×associate-*r*
10×*-un-lft-identity add-cube-cbrt
8×pow1 sqrt-prod
6×associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×clear-num associate-/r* frac-2neg times-frac pow-prod-down *-commutative div-inv associate-/l*
Counts
4 → 130
Calls
4 calls:
14.0ms
(* t (sqrt 2))
16.0ms
(* t (sqrt 2))
81.0ms
(/ (* (* v v) (* v v)) (* (* t (sqrt 2)) PI))
67.0ms
(/ (* 5/2 (* v v)) (* (* t (sqrt 2)) PI))

series493.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* t (sqrt 2))
49.0ms
(* t (sqrt 2))
182.0ms
(/ (* (* v v) (* v v)) (* (* t (sqrt 2)) PI))
208.0ms
(/ (* 5/2 (* v v)) (* (* t (sqrt 2)) PI))

simplify1.1s

Counts
142 → 142
Iterations
IterNodes
done2016
22016
1587
0174

prune921.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* v v) 5)
0.3b
(* PI t)
0.4b
(/ (/ (- 1 (* (* v v) 5)) (* PI t)) (sqrt (* (- 1 (* 3 (* v v))) 2)))
0.5b
(/ (- 1 (* (* v v) 5)) (* PI t))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
30×add-sqr-sqrt
27×*-un-lft-identity add-cube-cbrt
25×add-cbrt-cube add-exp-log
11×pow1
10×associate-/l*
8×sqrt-prod
7×cbrt-undiv div-exp div-inv
6×associate-*r* prod-exp cbrt-unprod
5×associate-/r*
4×expm1-log1p-u associate-*l* pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×div-sub associate-/l/
2×clear-num frac-2neg flip3-- sqrt-div associate-*l/ associate-/r/ *-commutative flip-- unswap-sqr
Counts
4 → 132
Calls
4 calls:
29.0ms
(* (* v v) 5)
7.0ms
(* PI t)
23.0ms
(/ (/ (- 1 (* (* v v) 5)) (* PI t)) (sqrt (* (- 1 (* 3 (* v v))) 2)))
26.0ms
(/ (- 1 (* (* v v) 5)) (* PI t))

series664.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (* v v) 5)
24.0ms
(* PI t)
504.0ms
(/ (/ (- 1 (* (* v v) 5)) (* PI t)) (sqrt (* (- 1 (* 3 (* v v))) 2)))
98.0ms
(/ (- 1 (* (* v v) 5)) (* PI t))

simplify1.3s

Counts
144 → 144
Iterations
IterNodes
done2001
22001
1710
0271

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize113.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3 (* v v))
0.1b
(* 3 (* v v))
0.4b
(/ (/ (- 1 (* v (* 5 v))) PI) t)
0.4b
(/ (/ (/ (- 1 (* v (* 5 v))) PI) t) (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v))))))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
577×times-frac
269×add-sqr-sqrt
267×*-un-lft-identity add-cube-cbrt
56×associate-/l*
44×sqrt-prod
28×add-cbrt-cube add-exp-log
26×div-inv
14×pow1
9×cbrt-undiv div-exp
7×associate-/r*
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
5×div-sub
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg sqrt-div associate-*r* associate-*r/ associate-/r/ *-commutative unswap-sqr associate-/l/
1×flip3-- flip--
Counts
4 → 360
Calls
4 calls:
15.0ms
(* 3 (* v v))
19.0ms
(* 3 (* v v))
21.0ms
(/ (/ (- 1 (* v (* 5 v))) PI) t)
24.0ms
(/ (/ (/ (- 1 (* v (* 5 v))) PI) t) (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v))))))))

series630.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* 3 (* v v))
29.0ms
(* 3 (* v v))
106.0ms
(/ (/ (- 1 (* v (* 5 v))) PI) t)
457.0ms
(/ (/ (/ (- 1 (* v (* 5 v))) PI) t) (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v))))))))

simplify2.0s

Counts
372 → 372
Iterations
IterNodes
done2001
22001
11389
0627

prune4.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes208.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done45
145
031

end0.0ms

sample4.4s

Algorithm
intervals
Results
2.2s8000×body80valid
1.9s8011×body80nan