Details

Time bar (total: 22.6s)

sample99.0ms

Algorithm
intervals
Results
47.0ms275×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03037
15537
211637
333737
4113037
done500037

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
1.0b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.4b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite589.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-exp-log add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
10×pow1
9×associate-*r* associate-*l*
5×flip3-+ flip-+
4×associate-*r/ associate-*l/ prod-exp cbrt-unprod add-log-exp
3×times-frac pow-prod-down associate-/r* *-commutative unswap-sqr
2×cbrt-undiv div-exp associate-/r/ associate-/l/
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num div-inv associate-/l*
Counts
4 → 87
Calls
4 calls:
85.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
53.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
232.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
213.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series1.2s

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
127.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
250.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
745.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify2.1s

Counts
99 → 99
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02082415
16102393
232462049
done50022041

prune720.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.7b

localize56.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
1.3b
(+ (* y (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)) (* b y))
3.2b
(* y (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z))
26.4b
(/ (+ (* y (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)) (* b y)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite725.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
11×pow1
9×times-frac
6×associate-*l* add-log-exp
5×flip3-+ flip-+
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
3×associate-/r* associate-/l*
2×associate-*r/ associate-/r/ *-commutative associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv unswap-sqr
Counts
4 → 82
Calls
4 calls:
30.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
127.0ms
(+ (* y (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)) (* b y))
176.0ms
(* y (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z))
389.0ms
(/ (+ (* y (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)) (* b y)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series1.2s

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
273.0ms
(+ (* y (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)) (* b y))
148.0ms
(* y (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z))
700.0ms
(/ (+ (* y (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)) (* b y)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify1.4s

Counts
94 → 94
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01973019
15512957
227482565
done50012563

prune727.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.4b

localize67.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.3b
(/ 1 (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))))
1.0b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.4b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))

rewrite671.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
34×add-exp-log
32×add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity
22×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
9×pow1
8×flip3-+ flip-+
7×cbrt-undiv
6×associate-*r* associate-*l* prod-exp div-inv associate-/l*
4×cbrt-unprod add-log-exp
3×rec-exp 1-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l/ unswap-sqr
1×distribute-rgt-in pow-flip distribute-lft-in inv-pow
Counts
4 → 131
Calls
4 calls:
49.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
209.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))))
177.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
226.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))

series981.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
405.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))))
263.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
225.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))

simplify1.7s

Counts
143 → 143
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02555596
17045435
234594817
done50014799

prune649.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.4b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
26.1b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite465.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
64×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
18×associate-/r*
15×add-exp-log add-cbrt-cube
11×associate-/r/
8×pow1 flip3-+ flip-+
6×associate-*r* associate-*l* div-inv associate-/l*
4×cbrt-undiv div-exp associate-*l/ add-log-exp
2×frac-2neg pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/ unswap-sqr
Counts
4 → 149
Calls
4 calls:
65.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
40.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
169.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
181.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

series1.0s

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
103.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
680.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
213.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify1.8s

Counts
161 → 161
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03006996
18126918
243396490
done50026486

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.4b

regimes799.0ms

Accuracy

93.4% (1.6b remaining)

Error of 4.6b against oracle of 3.0b and baseline of 27.4b

bsearch414.0ms

Steps
ItersRangePoint
9
3579286054.9567437
2.4004971456201247e+18
2.0555172333920676e+18
9
-1.1165296239219327e+42
-5.404692662959736e+34
-8.022998391057602e+41

simplify10.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
04985
17665
27765
done7765

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.7s8878×body80valid