Details

Time bar (total: 57.9s)

sample56.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
13.0ms214×body80nan

simplify6.0s

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

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize104.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.3b
(* 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))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite409.0ms

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:
22.0ms
(* 3.0 (* v v))
18.0ms
(* PI t)
289.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
70.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.5s

Counts
4 → 12
Calls
4 calls:
40.0ms
(* 3.0 (* v v))
52.0ms
(* PI t)
1.1s
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
356.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify6.7s

Counts
118 → 118
Iterations
IterNodes
done5001
24231
1825
0265

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize292.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.4s

Algorithm
rewrite-expression-head
Rules
31×times-frac
28×add-cbrt-cube add-exp-log
26×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
16×pow1
13×associate-/l*
10×associate-*l*
9×prod-exp cbrt-unprod
8×associate-*l/
7×pow-prod-down
6×cbrt-undiv div-exp
5×associate-*r*
4×expm1-log1p-u sqrt-div insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative div-inv unswap-sqr
2×flip3-- div-sub associate-/r/ flip--
1×clear-num associate-/r* frac-2neg sqrt-prod associate-/l/
Counts
4 → 120
Calls
4 calls:
26.0ms
(* 3.0 (* v v))
30.0ms
(* 3.0 (* v v))
2.7s
(/ (/ (- 1.0 (* (* v 5.0) v)) PI) (* (sqrt (* (- (* 1.0 (* 1.0 1.0)) (* (* (* (* v v) 3.0) (* (* v v) 3.0)) (* (* v v) 3.0))) 2.0)) t))
2.7s
(* (sqrt (* (- (* 1.0 (* 1.0 1.0)) (* (* (* (* v v) 3.0) (* (* v v) 3.0)) (* (* v v) 3.0))) 2.0)) t)

series824.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 3.0 (* v v))
36.0ms
(* 3.0 (* v v))
500.0ms
(/ (/ (- 1.0 (* (* v 5.0) v)) PI) (* (sqrt (* (- (* 1.0 (* 1.0 1.0)) (* (* (* (* v v) 3.0) (* (* v v) 3.0)) (* (* v v) 3.0))) 2.0)) t))
256.0ms
(* (sqrt (* (- (* 1.0 (* 1.0 1.0)) (* (* (* (* v v) 3.0) (* (* v v) 3.0)) (* (* v v) 3.0))) 2.0)) t)

simplify4.5s

Counts
132 → 132
Iterations
IterNodes
done5002
22113
1623
0236

prune2.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize373.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.3s

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-*l/ associate-/r/
7×associate-/r*
6×flip3-- associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv flip--
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
3×div-sub associate-/l/
2×clear-num frac-2neg associate-*r* *-commutative unswap-sqr
Counts
4 → 177
Calls
4 calls:
43.0ms
(* 3.0 (* v v))
44.0ms
(* 3.0 (* v v))
507.0ms
(/ (- 1.0 (* 5.0 (* v v))) (sqrt (* (- (* 1.0 (* 1.0 1.0)) (* (* 3.0 (* v v)) (* (* 3.0 (* v v)) (* 3.0 (* v v))))) 2.0)))
639.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (sqrt (* (- (* 1.0 (* 1.0 1.0)) (* (* 3.0 (* v v)) (* (* 3.0 (* v v)) (* 3.0 (* v v))))) 2.0))) PI)

series1.1s

Counts
4 → 12
Calls
4 calls:
46.0ms
(* 3.0 (* v v))
44.0ms
(* 3.0 (* v v))
428.0ms
(/ (- 1.0 (* 5.0 (* v v))) (sqrt (* (- (* 1.0 (* 1.0 1.0)) (* (* 3.0 (* v v)) (* (* 3.0 (* v v)) (* 3.0 (* v v))))) 2.0)))
538.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (sqrt (* (- (* 1.0 (* 1.0 1.0)) (* (* 3.0 (* v v)) (* (* 3.0 (* v v)) (* 3.0 (* v v))))) 2.0))) PI)

simplify5.7s

Counts
189 → 189
Iterations
IterNodes
done5006
22982
1893
0342

prune3.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize347.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
1.0b
(/ 1 (sqrt (* (- (* 1.0 (* 1.0 1.0)) (* (* 3.0 (* v v)) (* (* 3.0 (* v v)) (* 3.0 (* v v))))) 2.0)))
1.0b
(/ (/ 1 (sqrt (* (- (* 1.0 (* 1.0 1.0)) (* (* 3.0 (* v v)) (* (* 3.0 (* v v)) (* 3.0 (* v v))))) 2.0))) PI)

rewrite2.1s

Algorithm
rewrite-expression-head
Rules
114×times-frac
68×add-sqr-sqrt
66×*-un-lft-identity add-cube-cbrt
27×add-exp-log
21×add-cbrt-cube associate-/l*
18×pow1
16×sqrt-prod
10×sqrt-div associate-*l/ associate-/r/
8×div-exp
7×associate-/r* pow-prod-down
6×associate-*l* prod-exp cbrt-unprod div-inv
5×flip3-- flip--
4×expm1-log1p-u cbrt-undiv insert-posit16 log1p-expm1-u pow-flip add-log-exp
2×rec-exp clear-num frac-2neg sqrt-pow1 1-exp associate-*r* *-commutative unswap-sqr
1×pow1/2 inv-pow associate-/l/
Counts
4 → 182
Calls
4 calls:
22.0ms
(* 3.0 (* v v))
21.0ms
(* 3.0 (* v v))
965.0ms
(/ 1 (sqrt (* (- (* 1.0 (* 1.0 1.0)) (* (* 3.0 (* v v)) (* (* 3.0 (* v v)) (* 3.0 (* v v))))) 2.0)))
1.1s
(/ (/ 1 (sqrt (* (- (* 1.0 (* 1.0 1.0)) (* (* 3.0 (* v v)) (* (* 3.0 (* v v)) (* 3.0 (* v v))))) 2.0))) PI)

series2.1s

Counts
4 → 12
Calls
4 calls:
58.0ms
(* 3.0 (* v v))
63.0ms
(* 3.0 (* v v))
854.0ms
(/ 1 (sqrt (* (- (* 1.0 (* 1.0 1.0)) (* (* 3.0 (* v v)) (* (* 3.0 (* v v)) (* 3.0 (* v v))))) 2.0)))
1.1s
(/ (/ 1 (sqrt (* (- (* 1.0 (* 1.0 1.0)) (* (* 3.0 (* v v)) (* (* 3.0 (* v v)) (* 3.0 (* v v))))) 2.0))) PI)

simplify4.5s

Counts
194 → 194
Iterations
IterNodes
done5051
22623
1866
0351

prune3.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes424.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify41.0ms

Iterations
IterNodes
done54
154
037

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.5s8077×body80nan
1.0s8000×body80valid