Details

Time bar (total: 11.7s)

sample41.0ms

Algorithm
intervals
Results
19.0ms283×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03037
15537
211537
324237
460337
5159537
6333837
done500037

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize25.0ms

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)
1.5b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.8b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite134.0ms

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:
21.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
11.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
55.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
45.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series733.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
65.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
170.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
455.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify789.0ms

Counts
99 → 99
Iterations

Useful iterations: 2 (178.0ms)

IterNodesCost
02062473
15842437
225502087
done50012087

prune461.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.3b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:
2.0ms
(+ x (* 1.6453555072203998 (* y b)))
6.0ms
(* 1.6453555072203998 (* y b))

series60.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ x (* 1.6453555072203998 (* y b)))
20.0ms
(* 1.6453555072203998 (* y b))

simplify1.0s

Counts
35 → 35
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
057314
1150294
2483260
31857260
done5000260

prune97.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.3b

localize28.0ms

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)))
24.9b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite139.0ms

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:
21.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
11.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
49.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
51.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

series689.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
64.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
454.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
133.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify935.0ms

Counts
161 → 161
Iterations

Useful iterations: 2 (241.0ms)

IterNodesCost
02987054
17386946
231796534
done50006534

prune784.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
4.6b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
4.6b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
4.6b
(cbrt (+ x (* 1.6453555072203998 (* y b))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
15.0ms
(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

series603.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
152.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
146.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
162.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

simplify1.1s

Counts
99 → 99
Iterations

Useful iterations: 3 (313.0ms)

IterNodesCost
01191997
12591850
27921732
326911563
done50001563

prune281.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.3b

regimes654.0ms

Accuracy

93.2% (1.7b remaining)

Error of 4.9b against oracle of 3.2b and baseline of 27.6b

bsearch201.0ms

Steps
ItersRangePoint
5
4713.930704591994
10234.65621549505
10094.050046646438
8
-3.259109231022344e+36
-2.3369465847565803e+33
-1.7407917578078988e+36

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04783
17165
done7165

end0.0ms

sample914.0ms

Algorithm
intervals
Results
599.0ms8861×body80valid