Details

Time bar (total: 16.9s)

sample111.0ms

Algorithm
intervals
Results
62.0ms291×body80valid

simplify1.3s

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: 28.9b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
1.9b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
27.2b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite358.0ms

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:
27.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
55.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
153.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
121.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series1.4s

Counts
4 → 12
Calls
4 calls:
87.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
44.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
239.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
999.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify2.0s

Counts
99 → 99
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02062473
15992437
231732103
done50042095

prune621.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.4b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:
7.0ms
(+ x (* 1.6453555072203998 (* y b)))
27.0ms
(* 1.6453555072203998 (* y b))

series76.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(+ x (* 1.6453555072203998 (* y b)))
23.0ms
(* 1.6453555072203998 (* y b))

simplify2.0s

Counts
35 → 35
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
057314
1152294
2583260
32897260
done5000260

prune93.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
11.5b
(cbrt (* 1.6453555072203998 (* y b)))
11.5b
(cbrt (* 1.6453555072203998 (* y b)))
11.5b
(cbrt (* 1.6453555072203998 (* y b)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
29.0ms
(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
11.0ms
(cbrt (* 1.6453555072203998 (* y b)))
11.0ms
(cbrt (* 1.6453555072203998 (* y b)))
11.0ms
(cbrt (* 1.6453555072203998 (* y b)))

series512.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
104.0ms
(cbrt (* 1.6453555072203998 (* y b)))
104.0ms
(cbrt (* 1.6453555072203998 (* y b)))
105.0ms
(cbrt (* 1.6453555072203998 (* y b)))

simplify582.0ms

Counts
70 → 70
Iterations

Useful iterations: done (580.0ms)

IterNodesCost
086856
1222766
2843670
done5001620

prune311.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.4b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) 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)))
26.6b
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite431.0ms

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:
27.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
51.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
190.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
160.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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:
106.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
67.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
571.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
277.0ms
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify1.7s

Counts
117 → 117
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02223789
16153739
230693345
done50003341

prune594.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes643.0ms

Accuracy

96.7% (0.9b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 26.0b

bsearch423.0ms

Steps
ItersRangePoint
10
2038187673340274.8
6.554973071262197e+27
6.253852677484612e+27
6
-1.202983751766874e+19
-1.3980170606481126e+18
-6.950737723665706e+18

simplify11.0ms

Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
04575
16861
done6861

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.8s8947×body80valid