Details

Time bar (total: 31.6s)

sample105.0ms

Algorithm
intervals
Results
34.0ms294×body80nan
32.0ms256×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5001
44150
3839
2163
144
019

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.5b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

rewrite263.0ms

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 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 → 102
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
10.0ms
(* PI t)
56.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
166.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series1.2s

Counts
4 → 12
Calls
4 calls:
38.0ms
(* 5.0 (* v v))
24.0ms
(* PI t)
294.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
819.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify1.6s

Counts
114 → 114
Iterations
IterNodes
done5001
1825
0261

prune813.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize128.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.2b
(* (* v v) 5.0)
0.5b
(/ (/ (- 1.0 (* (* v v) 5.0)) (- 1.0 (* v v))) (* (* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* 3.0 (* v v)) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) PI) t))

rewrite4.5s

Algorithm
rewrite-expression-head
Rules
42×times-frac
40×add-cbrt-cube add-exp-log
32×add-sqr-sqrt
23×*-un-lft-identity add-cube-cbrt
19×pow1
18×associate-/l*
15×prod-exp cbrt-unprod
9×cbrt-undiv div-exp pow-prod-down
7×associate-*l*
6×associate-/r/ difference-of-squares
5×associate-*r*
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×flip3-- *-commutative div-inv flip-- unswap-sqr
2×sqrt-div div-sub associate-*r/
1×clear-num associate-/r* frac-2neg associate-/l/
Counts
4 → 128
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
25.0ms
(* 3.0 (* v v))
28.0ms
(* (* v v) 5.0)
4.4s
(/ (/ (- 1.0 (* (* v v) 5.0)) (- 1.0 (* v v))) (* (* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* 3.0 (* v v)) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) PI) t))

series619.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* 3.0 (* v v))
40.0ms
(* 3.0 (* v v))
29.0ms
(* (* v v) 5.0)
505.0ms
(/ (/ (- 1.0 (* (* v v) 5.0)) (- 1.0 (* v v))) (* (* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* 3.0 (* v v)) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) PI) t))

simplify2.0s

Counts
140 → 140
Iterations
IterNodes
done5000
1857
0287

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.2b
(* (* v v) 5.0)

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-cbrt-cube add-exp-log
12×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
10×associate-*l*
8×*-un-lft-identity add-cube-cbrt
6×associate-*r*
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
4 → 84
Calls
4 calls:
26.0ms
(* 3.0 (* v v))
16.0ms
(* 3.0 (* v v))
13.0ms
(* 3.0 (* v v))
26.0ms
(* (* v v) 5.0)

series176.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* 3.0 (* v v))
33.0ms
(* 3.0 (* v v))
46.0ms
(* 3.0 (* v v))
53.0ms
(* (* v v) 5.0)

simplify985.0ms

Counts
96 → 96
Iterations
IterNodes
done5001
21113
1169
064

prune770.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* (* v v) 5.0)
0.2b
(* (* v v) 5.0)
0.3b
(* (/ (/ (sqrt (- 1.0 (* (* v v) 5.0))) (+ (sqrt 1.0) v)) (* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* 3.0 (* v v)) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) PI)) (/ (/ (sqrt (- 1.0 (* (* v v) 5.0))) (- (sqrt 1.0) v)) t))

rewrite4.6s

Algorithm
rewrite-expression-head
Rules
293×times-frac
211×add-sqr-sqrt
171×*-un-lft-identity
137×associate-*r*
123×add-cube-cbrt
88×add-cbrt-cube add-exp-log
85×sqrt-prod
41×associate-*l*
36×difference-of-squares
33×cbrt-undiv div-exp
30×prod-exp cbrt-unprod
21×pow1
18×distribute-lft-out--
10×pow-prod-down associate-/r/
7×unswap-sqr
6×div-inv distribute-lft-out
4×expm1-log1p-u flip3-- *-commutative log1p-expm1-u flip-- add-log-exp
3×associate-*l/ associate-*r/
2×sqrt-div
1×frac-times flip3-+ flip-+
Counts
4 → 277
Calls
4 calls:
13.0ms
(* 3.0 (* v v))
14.0ms
(* (* v v) 5.0)
24.0ms
(* (* v v) 5.0)
4.5s
(* (/ (/ (sqrt (- 1.0 (* (* v v) 5.0))) (+ (sqrt 1.0) v)) (* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* 3.0 (* v v)) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) PI)) (/ (/ (sqrt (- 1.0 (* (* v v) 5.0))) (- (sqrt 1.0) v)) t))

series1.1s

Counts
4 → 12
Calls
4 calls:
48.0ms
(* 3.0 (* v v))
28.0ms
(* (* v v) 5.0)
40.0ms
(* (* v v) 5.0)
935.0ms
(* (/ (/ (sqrt (- 1.0 (* (* v v) 5.0))) (+ (sqrt 1.0) v)) (* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* 3.0 (* v v)) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) PI)) (/ (/ (sqrt (- 1.0 (* (* v v) 5.0))) (- (sqrt 1.0) v)) t))

simplify2.4s

Counts
289 → 289
Iterations
IterNodes
done5001
11780
0507

prune2.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done38
138
028

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.3s8105×body80nan
1.1s8000×body80valid