Details

Time bar (total: 22.0s)

sample55.0ms

Algorithm
intervals
Results
26.0ms290×body80valid

simplify999.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.4b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
0.1b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
2.7b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
25.5b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite560.0ms

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:
104.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
81.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
177.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
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))

series1.2s

Counts
4 → 12
Calls
4 calls:
75.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
64.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
283.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
736.0ms
(/ (* 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

prune669.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.5b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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)))
21.0ms
(* 1.6453555072203998 (* y b))

series74.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ x (* 1.6453555072203998 (* y b)))
28.0ms
(* 1.6453555072203998 (* y b))

simplify1.4s

Counts
35 → 35

prune130.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
3.4b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
3.4b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
3.4b
(cbrt (+ x (* 1.6453555072203998 (* y b))))

rewrite70.0ms

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:
48.0ms
(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
6.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
6.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
6.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

series888.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
272.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
209.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
194.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

simplify1.5s

Counts
99 → 99

prune442.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.4b

localize64.0ms

Local error

Found 4 expressions with local error:

13.5b
(cbrt (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
13.5b
(cbrt (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
14.0b
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (cbrt (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
23.4b
(* (/ y (* (cbrt (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)) (cbrt (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))) (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (cbrt (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
46×times-frac
36×add-cube-cbrt *-un-lft-identity
29×cbrt-prod
27×add-exp-log
24×associate-*r*
20×cbrt-div
19×add-cbrt-cube
15×associate-*l*
12×associate-/r/
11×flip3-+ flip-+
8×cbrt-undiv div-exp prod-exp cbrt-unprod
6×pow1 associate-/r* unswap-sqr
5×frac-times
4×add-log-exp
3×associate-*r/ associate-*l/ div-inv associate-/l*
2×pow1/3 associate-/l/
1×frac-2neg pow-prod-down clear-num *-commutative
Counts
4 → 138
Calls
4 calls:
39.0ms
(cbrt (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
34.0ms
(cbrt (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
182.0ms
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (cbrt (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
927.0ms
(* (/ y (* (cbrt (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)) (cbrt (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))) (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (cbrt (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))))

series2.3s

Counts
4 → 12
Calls
4 calls:
211.0ms
(cbrt (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
185.0ms
(cbrt (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
1.1s
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (cbrt (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
787.0ms
(* (/ y (* (cbrt (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)) (cbrt (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))) (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (cbrt (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))))

simplify1.7s

Counts
150 → 150

prune1.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 2.4b

regimes1.7s

Accuracy

91% (2.3b remaining)

Error of 5.3b against oracle of 3.0b and baseline of 28.4b

bsearch529.0ms

Steps
ItersRangePoint
9
2.7839367567869983e-19
1.9021303761434836e-14
1.8798500859798715e-14
9
-7.4926248380784e+41
-1.4279226034982678e+36
-3.919685932049697e+37

simplify813.0ms

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.0s8848×body80valid