Details

Time bar (total: 32.3s)

sample78.0ms

Algorithm
intervals
Results
27.0ms248×body80nan
23.0ms256×body80valid

simplify6.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
15828
2131928
done500128

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* PI t)
0.2b
(/ (- 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))))))

rewrite294.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×cbrt-undiv expm1-log1p-u frac-times div-exp log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 102
Calls
4 calls:
26.0ms
(* 3.0 (* v v))
13.0ms
(* PI t)
164.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
85.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.7s

Counts
4 → 12
Calls
4 calls:
50.0ms
(* 3.0 (* v v))
40.0ms
(* PI t)
1.3s
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
315.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify2.6s

Counts
114 → 114
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02582497
123822340
done50002037

prune625.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×associate-*r/ associate-*r*
7×associate-*l* pow-prod-down
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- times-frac div-exp *-commutative flip-- associate-/l*
2×associate-/r/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 94
Calls
4 calls:
37.0ms
(* 3.0 (* v v))
14.0ms
(* PI t)
83.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
74.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
46.0ms
(* 3.0 (* v v))
24.0ms
(* PI t)
797.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
284.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify3.8s

Counts
106 → 106
Iterations

Useful iterations: done (3.8s)

IterNodesCost
02161887
122661766
done50001548

prune529.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(* 3.0 (* v v))
0.4b
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2)))))))
0.4b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2))))))))

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
28×add-exp-log add-cbrt-cube
26×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
16×pow1
13×associate-/l*
9×associate-*l* prod-exp cbrt-unprod
8×associate-*r/
7×pow-prod-down
6×cbrt-undiv div-exp associate-*r*
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×*-commutative div-inv unswap-sqr
2×flip3-- div-sub associate-/r/ flip--
1×frac-2neg clear-num associate-/r* sqrt-prod associate-/l/
Counts
4 → 116
Calls
4 calls:
20.0ms
(* 5.0 (* v v))
35.0ms
(* 3.0 (* v v))
83.0ms
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2)))))))
105.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2))))))))

series776.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* 5.0 (* v v))
49.0ms
(* 3.0 (* v v))
223.0ms
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2)))))))
469.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2))))))))

simplify6.3s

Counts
128 → 128
Iterations

Useful iterations: done (6.3s)

IterNodesCost
02562951
127172623
done50012351

prune929.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 3.0 3.0) (pow v 4))
0.1b
(* 5.0 (* v v))
0.2b
(* 3.0 (* v v))
0.2b
(* (/ 1 t) (/ (/ (- 1.0 (* 5.0 (* v v))) PI) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0))))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
112×times-frac
91×add-sqr-sqrt
67×associate-*r*
66×add-exp-log
60×*-un-lft-identity
57×add-cube-cbrt
40×add-cbrt-cube
27×prod-exp
20×associate-*l*
18×div-exp
16×pow1
15×cbrt-unprod
14×unswap-sqr
13×sqrt-prod
9×cbrt-undiv
7×pow-prod-down
6×div-inv
4×expm1-log1p-u unpow-prod-down *-commutative log1p-expm1-u add-log-exp
3×rec-exp 1-exp associate-*l/
2×pow-to-exp sqrt-div pow-exp associate-/r/ sqr-pow
1×frac-times flip3-- associate-*r/ flip--
Counts
4 → 183
Calls
4 calls:
32.0ms
(* (* 3.0 3.0) (pow v 4))
18.0ms
(* 5.0 (* v v))
29.0ms
(* 3.0 (* v v))
160.0ms
(* (/ 1 t) (/ (/ (- 1.0 (* 5.0 (* v v))) PI) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0))))

series756.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (* 3.0 3.0) (pow v 4))
31.0ms
(* 5.0 (* v v))
48.0ms
(* 3.0 (* v v))
608.0ms
(* (/ 1 t) (/ (/ (- 1.0 (* 5.0 (* v v))) PI) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0))))

simplify820.0ms

Counts
195 → 195
Iterations

Useful iterations: done (807.0ms)

IterNodesCost
03884820
done50004499

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03146
14046
done4046

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.6s8000×body80valid
1.0s7932×body80nan