Details

Time bar (total: 31.8s)

sample98.0ms

Algorithm
intervals
Results
49.0ms256×body80valid
22.0ms254×body80nan

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216328
383328
4371728
done500028

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.3b
(* PI t)
0.4b
(/ (- 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))))))

rewrite277.0ms

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:
18.0ms
(* 3.0 (* v v))
7.0ms
(* PI t)
191.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
58.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
39.0ms
(* 3.0 (* v v))
40.0ms
(* PI t)
762.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
211.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.8s

Counts
114 → 114
Iterations

Useful iterations: 2 (691.0ms)

IterNodesCost
02582497
17492326
236062006
done50002006

prune472.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.3b
(* t PI)
0.4b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t PI) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))))) (- (* 1.0 1.0) (pow v 4))))
0.5b
(* (* t PI) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))))

rewrite358.0ms

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:
24.0ms
(* 3.0 (* v v))
8.0ms
(* t PI)
257.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t PI) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))))) (- (* 1.0 1.0) (pow v 4))))
62.0ms
(* (* t PI) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))))

series922.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 3.0 (* v v))
42.0ms
(* t PI)
599.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t PI) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))))) (- (* 1.0 1.0) (pow v 4))))
252.0ms
(* (* t PI) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))))

simplify2.0s

Counts
114 → 114
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02372836
16972653
234592249
done50002248

prune745.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize91.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* t PI))
0.3b
(* t PI)
0.4b
(/ (/ (- 1.0 (* 5.0 (* v v))) (* t PI)) (* (- (pow 1.0 6) (pow (pow v 4) 3)) (sqrt (* (- (* 1.0 (pow 1.0 3)) (* (pow v 8) (* (pow 3.0 3) 3.0))) 2.0))))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
16×add-sqr-sqrt times-frac
13×add-cube-cbrt *-un-lft-identity
12×cbrt-undiv div-exp
11×pow1
10×prod-exp cbrt-unprod associate-/l*
8×associate-*l/ associate-/r/
7×flip3-- flip--
6×sqrt-div associate-*l*
4×expm1-log1p-u frac-times associate-*r* pow-prod-down log1p-expm1-u div-inv add-log-exp
3×div-sub associate-/l/
2×frac-2neg associate-*r/ clear-num associate-/r* *-commutative unswap-sqr
Counts
4 → 116
Calls
4 calls:
18.0ms
(* 3.0 (* v v))
27.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* t PI))
8.0ms
(* t PI)
117.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* t PI)) (* (- (pow 1.0 6) (pow (pow v 4) 3)) (sqrt (* (- (* 1.0 (pow 1.0 3)) (* (pow v 8) (* (pow 3.0 3) 3.0))) 2.0))))

series756.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 3.0 (* v v))
140.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* t PI))
43.0ms
(* t PI)
546.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* t PI)) (* (- (pow 1.0 6) (pow (pow v 4) 3)) (sqrt (* (- (* 1.0 (pow 1.0 3)) (* (pow v 8) (* (pow 3.0 3) 3.0))) 2.0))))

simplify1.7s

Counts
128 → 128
Iterations

Useful iterations: 2 (616.0ms)

IterNodesCost
02583615
17183272
228842622
done50012622

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize96.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* 5.0 (* v v))
0.2b
(* 3.0 (* v v))
0.3b
(* (/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) t) (- (pow 1.0 6) (pow (pow v 4) 3))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* PI (sqrt (* (- (pow 1.0 4) (* (pow v 8) (pow 3.0 4))) 2.0)))))

rewrite927.0ms

Algorithm
rewrite-expression-head
Rules
1131×times-frac
1095×add-sqr-sqrt
631×associate-*l*
528×difference-of-squares
506×unpow-prod-down
441×*-un-lft-identity
397×add-cube-cbrt
374×sqr-pow
256×sqrt-prod
198×cube-prod
55×add-exp-log add-cbrt-cube
30×div-inv
22×distribute-lft-out--
21×pow1 prod-exp cbrt-unprod
15×cbrt-undiv div-exp associate-*r*
10×pow-prod-down
7×unswap-sqr
4×expm1-log1p-u associate-/r/ *-commutative log1p-expm1-u add-log-exp
3×associate-*r/ associate-*l/
2×flip3-- sqrt-div flip--
1×frac-times
Counts
4 → 733
Calls
4 calls:
23.0ms
(* 5.0 (* v v))
22.0ms
(* 5.0 (* v v))
26.0ms
(* 3.0 (* v v))
749.0ms
(* (/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) t) (- (pow 1.0 6) (pow (pow v 4) 3))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* PI (sqrt (* (- (pow 1.0 4) (* (pow v 8) (pow 3.0 4))) 2.0)))))

series641.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* 5.0 (* v v))
32.0ms
(* 5.0 (* v v))
51.0ms
(* 3.0 (* v v))
523.0ms
(* (/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) t) (- (pow 1.0 6) (pow (pow v 4) 3))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* PI (sqrt (* (- (pow 1.0 4) (* (pow v 8) (pow 3.0 4))) 2.0)))))

simplify1.4s

Counts
745 → 745
Iterations

Useful iterations: done (1.4s)

IterNodesCost
082834520
1267232308
done500031617

prune9.8s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes451.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify15.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04998
16698
done6698

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.6s8002×body80valid
847.0ms7822×body80nan