Details

Time bar (total: 21.4s)

sample98.0ms

Algorithm
intervals
Results
37.0ms283×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03037
15537
211637
332537
489137
5248437
done500037

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.1b
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
2.2b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
27.5b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite480.0ms

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:
48.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
107.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
178.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
144.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series1.0s

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
81.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
243.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
616.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify1.4s

Counts
99 → 99
Iterations

Useful iterations: 2 (475.0ms)

IterNodesCost
02092631
15792579
221692215
done50022215

prune633.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.3b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.1b
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) 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)))
27.1b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite487.0ms

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:
70.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
110.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
165.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
131.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

series982.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
90.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
651.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
193.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify1.7s

Counts
161 → 161
Iterations

Useful iterations: done (1.7s)

IterNodesCost
03037212
17307088
226516662
done50006656

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
0.1b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
1.7b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b))
1.8b
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b)))

rewrite375.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
100×*-un-lft-identity
72×add-sqr-sqrt
68×add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
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 → 165
Calls
4 calls:
117.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
69.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
129.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b))
47.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b)))

series418.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
41.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
83.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b))
238.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b)))

simplify1.5s

Counts
177 → 177
Iterations

Useful iterations: done (1.5s)

IterNodesCost
03185328
17584800
225054512
done50014498

prune787.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.2b

localize71.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
27.1b
(/ (+ (* (+ (* (* (+ (* (+ z 15.234687407) z) 31.4690115749) (* (cbrt z) (cbrt z))) (cbrt z)) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite493.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
489.0ms
(/ (+ (* (+ (* (* (+ (* (+ z 15.234687407) z) 31.4690115749) (* (cbrt z) (cbrt z))) (cbrt 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:
316.0ms
(cbrt z)
204.0ms
(cbrt z)
229.0ms
(cbrt z)
258.0ms
(/ (+ (* (+ (* (* (+ (* (+ z 15.234687407) z) 31.4690115749) (* (cbrt z) (cbrt z))) (cbrt z)) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify2.0s

Counts
76 → 76
Iterations

Useful iterations: 3 (822.0ms)

IterNodesCost
01132109
12592086
27931740
332831593
done50001593

prune609.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.2b

regimes638.0ms

Accuracy

92.9% (1.4b remaining)

Error of 4.3b against oracle of 2.9b and baseline of 22.1b

bsearch324.0ms

Steps
ItersRangePoint
5
1.9680762236544087e+23
5.1954013525007336e+23
3.0050173727253705e+23
9
-4.4812647640016634e+77
-7.485834101697834e+70
-2.607950243078541e+73

simplify16.0ms

Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
05090
17572
done7572

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.1s8844×body80valid