Details

Time bar (total: 16.6s)

sample41.0ms

Algorithm
intervals
Results
18.0ms279×body80valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03037
15537
211537
324037
459537
5151037
6300437
7478037
done500037

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
2.4b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.1b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite135.0ms

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:
29.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
10.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
52.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
41.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series814.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
75.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
189.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
493.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify910.0ms

Counts
99 → 99
Iterations

Useful iterations: 2 (220.0ms)

IterNodesCost
02082525
15792477
220472131
done50002131

prune484.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
25.4b
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
21×associate-*r*
19×times-frac
15×add-exp-log add-cbrt-cube
10×pow1
9×associate-*l*
5×flip3-+ flip-+
4×associate-*l/ prod-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv div-exp div-inv associate-/l/
1×frac-2neg associate-*r/ clear-num
Counts
4 → 105
Calls
4 calls:
29.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
10.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
79.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
49.0ms
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series935.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
76.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
569.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
238.0ms
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify913.0ms

Counts
117 → 117
Iterations

Useful iterations: 2 (253.0ms)

IterNodesCost
02263841
15953775
219303373
done50003373

prune552.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.2b
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
25.4b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite137.0ms

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:
28.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
10.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
46.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
46.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

series771.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
76.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
502.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
143.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify964.0ms

Counts
161 → 161
Iterations

Useful iterations: 2 (296.0ms)

IterNodesCost
03027106
17437012
226006578
done50006578

prune847.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.5b
(/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
2.4b
(/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
26.1b
(/ (/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
248×add-sqr-sqrt
246×add-cube-cbrt *-un-lft-identity
69×associate-/r/
35×flip3-+ flip-+ div-inv
34×add-exp-log
22×add-cbrt-cube
21×associate-/r* associate-/l*
19×div-exp
10×cbrt-undiv
7×pow1
4×add-log-exp
3×rec-exp frac-2neg 1-exp associate-*r* associate-*l* clear-num
2×associate-*l/
1×pow-flip pow-prod-down prod-exp *-commutative cbrt-unprod associate-/l/ inv-pow unswap-sqr
Counts
4 → 361
Calls
4 calls:
10.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
28.0ms
(/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
19.0ms
(/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
74.0ms
(/ (/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))

series1.0s

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
75.0ms
(/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
138.0ms
(/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
735.0ms
(/ (/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))

simplify865.0ms

Counts
373 → 373
Iterations

Useful iterations: done (841.0ms)

IterNodesCost
064723726
1190622486
done500122264

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes573.0ms

Accuracy

97.1% (0.8b remaining)

Error of 1.2b against oracle of 0.4b and baseline of 28.1b

bsearch231.0ms

Steps
ItersRangePoint
6
5.619679650686545e+73
6.93108202513983e+74
5.742012253919877e+73
8
-3.549951154028029e+48
-8.071674369691596e+45
-1.6035881345933143e+48

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04575
16861
done6861

end0.0ms

sample934.0ms

Algorithm
intervals
Results
604.0ms8875×body80valid