Details

Time bar (total: 15.2s)

sample41.0ms

Algorithm
intervals
Results
17.0ms275×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03037
15537
211637
332537
489137
5248437
done500037

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
3.1b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
25.4b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite318.0ms

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:
49.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
26.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
127.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
113.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series797.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
72.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
186.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
498.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify989.0ms

Counts
99 → 99
Iterations

Useful iterations: done (986.0ms)

IterNodesCost
02062473
15742437
221272087
done50002075

prune655.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.7b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* 1.6453555072203998 (* y b)))
0.2b
(* 1.6453555072203998 (* y b))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
6.0ms
(+ x (* 1.6453555072203998 (* y b)))
16.0ms
(* 1.6453555072203998 (* y b))

series65.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ x (* 1.6453555072203998 (* y b)))
22.0ms
(* 1.6453555072203998 (* y b))

simplify2.0s

Counts
35 → 35
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
057314
1149294
2504260
31922260
done5000260

prune92.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) 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)))
25.3b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite304.0ms

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:
48.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
26.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
104.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
120.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

series745.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
70.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
491.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
146.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify1.2s

Counts
161 → 161
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02987054
17176946
225956534
done50016516

prune798.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.7b

localize37.0ms

Local error

Found 4 expressions with local error:

25.3b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (* (cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)) (cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))) (cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))) a) z) b))
29.8b
(cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))
29.8b
(cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))
29.8b
(cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))

rewrite425.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log cbrt-div associate-*l/ add-cbrt-cube
5×flip3-+ flip-+
4×pow1 add-log-exp
3×cbrt-prod pow1/3 associate-/r* associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 64
Calls
4 calls:
365.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (* (cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)) (cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))) (cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))) a) z) b))
21.0ms
(cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))
19.0ms
(cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))
18.0ms
(cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))

series925.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (* (cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)) (cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))) (cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))) a) z) b))
242.0ms
(cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))
234.0ms
(cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))
234.0ms
(cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))

simplify1.9s

Counts
76 → 76
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01543833
13703807
210982487
342732205
done50002154

prune467.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.7b

regimes513.0ms

Accuracy

92.8% (1.6b remaining)

Error of 4.6b against oracle of 3.0b and baseline of 25.9b

bsearch242.0ms

Steps
ItersRangePoint
9
2.4499807491119712e+31
1.7797459295467202e+36
1.423778970433199e+36
6
-3.168465518716738e+17
-3.022518570438349e+16
-3.091421371434833e+17

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
050110
17592
done7592

end0.0ms

sample989.0ms

Algorithm
intervals
Results
577.0ms8860×body80valid