Details

Time bar (total: 29.7s)

sample98.0ms

Algorithm
intervals
Results
34.0ms256×body80valid
28.0ms226×body80nan

simplify3.7s

Counts
1 → 1
Iterations
IterNodes
done5001
43490
3771
2158
144
019

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite211.0ms

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:
13.0ms
(* 3.0 (* v v))
6.0ms
(* PI t)
136.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
52.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
30.0ms
(* 3.0 (* v v))
38.0ms
(* PI t)
879.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
264.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify3.2s

Counts
114 → 114
Iterations
IterNodes
done5133
23981
1825
0261

prune813.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize119.0ms

Local error

Found 4 expressions with local error:

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

rewrite483.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac
35×add-sqr-sqrt
32×*-un-lft-identity add-cube-cbrt
25×add-cbrt-cube add-exp-log
21×associate-/l*
11×pow1
10×sqrt-prod
7×cbrt-undiv div-exp
6×sqrt-div associate-*l* prod-exp associate-*r/ associate-/r/ cbrt-unprod
5×associate-/r*
4×expm1-log1p-u flip3-- associate-*r* pow-prod-down log1p-expm1-u div-inv flip-- add-log-exp
3×div-sub associate-/l/
2×clear-num frac-2neg *-commutative unswap-sqr
Counts
4 → 138
Calls
4 calls:
16.0ms
(* 3.0 (* v v))
6.0ms
(* PI t)
65.0ms
(/ (/ (- 1.0 (* (* 5.0 v) v)) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* v v) 3.0) (* (* v v) 3.0)))))) (* PI t))
393.0ms
(/ (- 1.0 (* (* 5.0 v) v)) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* v v) 3.0) (* (* v v) 3.0))))))

series846.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* 3.0 (* v v))
26.0ms
(* PI t)
488.0ms
(/ (/ (- 1.0 (* (* 5.0 v) v)) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* v v) 3.0) (* (* v v) 3.0)))))) (* PI t))
280.0ms
(/ (- 1.0 (* (* 5.0 v) v)) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* v v) 3.0) (* (* v v) 3.0))))))

simplify2.7s

Counts
150 → 150
Iterations
IterNodes
done5077
22868
1783
0289

prune1.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize91.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
68×add-sqr-sqrt
66×*-un-lft-identity add-cube-cbrt
21×add-cbrt-cube add-exp-log associate-/l*
16×sqrt-prod
14×pow1
10×sqrt-div associate-*r/ associate-/r/
7×associate-/r*
6×flip3-- pow-prod-down prod-exp cbrt-unprod div-inv flip--
4×expm1-log1p-u cbrt-undiv div-exp associate-*r* associate-*l* log1p-expm1-u add-log-exp
3×div-sub associate-/l/
2×clear-num frac-2neg *-commutative unswap-sqr
Counts
4 → 173
Calls
4 calls:
28.0ms
(* (* v v) 3.0)
27.0ms
(* 3.0 (* v v))
28.0ms
(/ (- 1.0 (* (* 5.0 v) v)) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* v v) 3.0) (* (* v v) 3.0))))))
39.0ms
(/ (/ (- 1.0 (* (* 5.0 v) v)) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* v v) 3.0) (* (* v v) 3.0)))))) PI)

series732.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (* v v) 3.0)
36.0ms
(* 3.0 (* v v))
254.0ms
(/ (- 1.0 (* (* 5.0 v) v)) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* v v) 3.0) (* (* v v) 3.0))))))
404.0ms
(/ (/ (- 1.0 (* (* 5.0 v) v)) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* v v) 3.0) (* (* v v) 3.0)))))) PI)

simplify2.6s

Counts
185 → 185
Iterations
IterNodes
done5042
22962
1891
0350

prune2.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize131.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
98×add-sqr-sqrt
95×*-un-lft-identity add-cube-cbrt
74×sqrt-prod
22×associate-/l*
14×add-cbrt-cube add-exp-log
11×pow1
6×div-inv
4×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-*l* pow-prod-down prod-exp cbrt-unprod
2×rem-sqrt-square sqrt-pow1 pow1/2 sqrt-div div-sub associate-*l/ associate-/r/
1×clear-num frac-2neg flip3-- associate-*r* *-commutative flip-- unswap-sqr associate-/l/
Counts
4 → 185
Calls
4 calls:
23.0ms
(* 3.0 (* v v))
59.0ms
(/ (/ (- 1.0 (* (* v v) 5.0)) (sqrt PI)) (sqrt (* (- (* 1.0 1.0) (* (* (* v v) 3.0) (* (* v v) 3.0))) 2.0)))
2.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series481.0ms

Counts
4 → 8
Calls
4 calls:
30.0ms
(* 3.0 (* v v))
451.0ms
(/ (/ (- 1.0 (* (* v v) 5.0)) (sqrt PI)) (sqrt (* (- (* 1.0 1.0) (* (* (* v v) 3.0) (* (* v v) 3.0))) 2.0)))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify2.7s

Counts
193 → 193
Iterations
IterNodes
done5005
22660
1860
0347

prune2.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes437.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify18.0ms

Iterations
IterNodes
done45
145
034

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.4s8090×body80nan
1.0s8000×body80valid