Details

Time bar (total: 22.2s)

sample59.0ms

Algorithm
intervals
Results
21.0ms230×body80nan
16.0ms256×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216328
383928
4412928
done500028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* 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))))))

rewrite207.0ms

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
(* 5.0 (* v v))
7.0ms
(* PI t)
139.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
39.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
42.0ms
(* 5.0 (* v v))
38.0ms
(* PI t)
838.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
243.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify479.0ms

Counts
114 → 114
Iterations

Useful iterations: done (473.0ms)

IterNodesCost
02582497
18052336
done50002038

prune571.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite461.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log add-cbrt-cube
30×prod-exp cbrt-unprod
29×pow1
28×associate-*r/
17×pow-prod-down
16×associate-*l/
13×add-sqr-sqrt flip3-- flip--
12×distribute-rgt-in distribute-lft-in sqrt-div
10×add-cube-cbrt *-un-lft-identity associate-*l*
8×frac-times associate-/r/ fma-udef
6×cbrt-undiv div-exp
5×associate-*r*
4×expm1-log1p-u times-frac log1p-expm1-u associate-/l* add-log-exp
3×*-commutative
2×associate-/l/ difference-of-squares unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 131
Calls
4 calls:
18.0ms
(* 5.0 (* v v))
11.0ms
(* t PI)
234.0ms
(/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (* (* t PI) (* (- 1.0 (* v v)) (fma 5.0 (* v v) 1.0)))))
186.0ms
(* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (* (* t PI) (* (- 1.0 (* v v)) (fma 5.0 (* v v) 1.0))))

series2.0s

Counts
4 → 12
Calls
4 calls:
43.0ms
(* 5.0 (* v v))
22.0ms
(* t PI)
930.0ms
(/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (* (* t PI) (* (- 1.0 (* v v)) (fma 5.0 (* v v) 1.0)))))
961.0ms
(* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (* (* t PI) (* (- 1.0 (* v v)) (fma 5.0 (* v v) 1.0))))

simplify730.0ms

Counts
143 → 143
Iterations

Useful iterations: done (722.0ms)

IterNodesCost
03635374
112054856
done50014138

prune820.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log times-frac add-cbrt-cube
35×add-sqr-sqrt
32×add-cube-cbrt *-un-lft-identity
21×associate-/l*
20×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
11×pow1
10×sqrt-prod
8×associate-*r/ associate-/r/
6×sqrt-div associate-*l*
5×flip3-- associate-/r* flip--
4×expm1-log1p-u associate-*r* pow-prod-down log1p-expm1-u div-inv add-log-exp
3×div-sub associate-/l/
2×frac-2neg associate-*l/ clear-num *-commutative unswap-sqr
Counts
4 → 152
Calls
4 calls:
33.0ms
(* 3.0 (* v v))
13.0ms
(* t PI)
99.0ms
(/ (/ (- (* 1.0 1.0) (* (* 5.0 5.0) (pow v 4))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (* (* t PI) (* (- 1.0 (* v v)) (fma 5.0 (* v v) 1.0))))
29.0ms
(/ (- (* 1.0 1.0) (* (* 5.0 5.0) (pow v 4))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.5s

Counts
4 → 12
Calls
4 calls:
53.0ms
(* 3.0 (* v v))
22.0ms
(* t PI)
980.0ms
(/ (/ (- (* 1.0 1.0) (* (* 5.0 5.0) (pow v 4))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (* (* t PI) (* (- 1.0 (* v v)) (fma 5.0 (* v v) 1.0))))
452.0ms
(/ (- (* 1.0 1.0) (* (* 5.0 5.0) (pow v 4))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify802.0ms

Counts
164 → 164
Iterations

Useful iterations: done (790.0ms)

IterNodesCost
03836122
112095928
done50005047

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize86.0ms

Local error

Found 4 expressions with local error:

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

rewrite280.0ms

Algorithm
rewrite-expression-head
Rules
438×times-frac
164×add-sqr-sqrt
161×add-cube-cbrt *-un-lft-identity
94×sqrt-prod
69×add-exp-log add-cbrt-cube
32×div-inv
29×cbrt-undiv div-exp
25×associate-/r/
24×sqrt-div associate-*r/
21×associate-/l*
20×prod-exp cbrt-unprod
14×associate-/r*
13×flip3-- flip--
11×pow1
6×associate-*l*
4×expm1-log1p-u associate-*r* pow-prod-down log1p-expm1-u add-log-exp
3×div-sub associate-/l/
2×frac-2neg clear-num *-commutative unswap-sqr
Counts
4 → 326
Calls
4 calls:
37.0ms
(* 3.0 (* v v))
14.0ms
(* t PI)
128.0ms
(/ (/ (- (* 1.0 1.0) (* (* 5.0 5.0) (pow v 4))) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (/ (* (* (- 1.0 (* v v)) (fma 5.0 (* v v) 1.0)) (* t PI)) (sqrt (fma (* v v) 3.0 1.0))))
68.0ms
(/ (- (* 1.0 1.0) (* (* 5.0 5.0) (pow v 4))) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))

series1.8s

Counts
4 → 12
Calls
4 calls:
44.0ms
(* 3.0 (* v v))
31.0ms
(* t PI)
1.0s
(/ (/ (- (* 1.0 1.0) (* (* 5.0 5.0) (pow v 4))) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (/ (* (* (- 1.0 (* v v)) (fma 5.0 (* v v) 1.0)) (* t PI)) (sqrt (fma (* v v) 3.0 1.0))))
660.0ms
(/ (- (* 1.0 1.0) (* (* 5.0 5.0) (pow v 4))) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))

simplify1.5s

Counts
338 → 338
Iterations

Useful iterations: done (1.5s)

IterNodesCost
069325510
1233122689
done500121404

prune2.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes212.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02951
13451
done3451

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.5s8000×body80valid
988.0ms8165×body80nan