Details

Time bar (total: 21.8s)

sample113.0ms

Algorithm
intervals
Results
47.0ms256×body80valid
29.0ms248×body80nan

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216328
383328
4371728
done500028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize16.0ms

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))))))

rewrite355.0ms

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:
30.0ms
(* 3.0 (* v v))
13.0ms
(* PI t)
232.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* 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))
32.0ms
(* PI t)
881.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
274.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify2.3s

Counts
114 → 114
Iterations

Useful iterations: 2 (862.0ms)

IterNodesCost
02582497
17492326
236062006
done50002006

prune557.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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))))))

rewrite142.0ms

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:
32.0ms
(* 3.0 (* v v))
7.0ms
(* PI t)
47.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
53.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
45.0ms
(* 3.0 (* v v))
25.0ms
(* PI t)
790.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
302.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify2.0s

Counts
106 → 106
Iterations

Useful iterations: 2 (681.0ms)

IterNodesCost
02161887
15961758
225501540
done50011540

prune508.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite341.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1 associate-*r/
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
9×associate-*l*
7×pow-prod-down
6×sqrt-div associate-*r*
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×cbrt-undiv times-frac div-exp *-commutative associate-/l*
2×associate-/r/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 96
Calls
4 calls:
33.0ms
(* 3.0 (* v v))
128.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
120.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
54.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
49.0ms
(* 3.0 (* v v))
701.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
300.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
234.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.6s

Counts
108 → 108
Iterations

Useful iterations: 2 (608.0ms)

IterNodesCost
02242177
16132020
224731790
done50001790

prune473.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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

rewrite124.0ms

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:
19.0ms
(* 5.0 (* v v))
16.0ms
(* 3.0 (* v v))
36.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
44.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 5.0 (* v v))
40.0ms
(* 3.0 (* v v))
177.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
789.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

simplify1.4s

Counts
128 → 128
Iterations

Useful iterations: 2 (530.0ms)

IterNodesCost
02762494
16842354
223622122
done50002122

prune464.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02130
12730
done2730

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.4s7932×body80nan
873.0ms8000×body80valid