Details

Time bar (total: 19.0s)

sample68.0ms

Algorithm
intervals
Results
39.0ms284×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03037
15537
211637
332537
489137
5248437
done500037

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.7b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
0.1b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
2.5b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
32.5b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite437.0ms

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:
72.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
50.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
170.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
142.0ms
(/ (* 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:
69.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
41.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
244.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
661.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify1.3s

Counts
99 → 99
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02102537
15912515
222222137
done50002125

prune795.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z))))
0.3b
(* 36.527041698806414 (/ y z))
1.9b
(- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z)))
11.4b
(/ (* t y) (pow z 2))

rewrite434.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
21×add-sqr-sqrt
18×*-un-lft-identity times-frac add-log-exp
16×add-cube-cbrt
14×add-cbrt-cube
13×associate-*r*
8×associate-/r*
7×div-exp
6×pow1 unpow-prod-down
5×prod-exp sum-log
4×diff-log
3×cbrt-undiv associate-+r+ associate-*r/ associate-*l* cbrt-unprod
2×pow-to-exp sub-neg flip3-+ pow-exp associate--l+ frac-sub flip-+ div-inv unpow2 unswap-sqr sqr-pow
1×+-commutative associate-+r- flip3-- frac-2neg pow-prod-down clear-num *-commutative flip-- distribute-lft-out associate-/l*
Counts
4 → 101
Calls
4 calls:
239.0ms
(+ x (- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z))))
19.0ms
(* 36.527041698806414 (/ y z))
154.0ms
(- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z)))
18.0ms
(/ (* t y) (pow z 2))

series271.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(+ x (- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z))))
21.0ms
(* 36.527041698806414 (/ y z))
71.0ms
(- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z)))
39.0ms
(/ (* t y) (pow z 2))

simplify1.0s

Counts
113 → 113
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02081741
15381577
217961470
done50001464

prune454.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 36.527041698806414 (/ y z))
1.9b
(- (+ (* 3.13060547623 y) (/ t (/ (pow z 2) y))) (* 36.527041698806414 (/ y z)))
5.7b
(/ t (/ (pow z 2) y))
9.2b
(/ (pow z 2) y)

rewrite591.0ms

Algorithm
rewrite-expression-head
Rules
214×times-frac
123×add-sqr-sqrt
118×add-cube-cbrt *-un-lft-identity
48×unpow-prod-down
31×associate-/r*
24×add-exp-log
16×add-cbrt-cube unpow2 sqr-pow
13×associate-*r*
11×div-exp associate-/l*
9×add-log-exp
7×div-inv
6×pow1
5×cbrt-undiv
3×associate-*r/ associate-*l*
2×pow-to-exp frac-2neg diff-log pow-exp prod-exp clear-num frac-sub cbrt-unprod unswap-sqr
1×sub-neg flip3-- flip3-+ pow-prod-down associate--l+ sum-log associate-/r/ *-commutative flip-- flip-+
Counts
4 → 229
Calls
4 calls:
22.0ms
(* 36.527041698806414 (/ y z))
499.0ms
(- (+ (* 3.13060547623 y) (/ t (/ (pow z 2) y))) (* 36.527041698806414 (/ y z)))
39.0ms
(/ t (/ (pow z 2) y))
16.0ms
(/ (pow z 2) y)

series221.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* 36.527041698806414 (/ y z))
109.0ms
(- (+ (* 3.13060547623 y) (/ t (/ (pow z 2) y))) (* 36.527041698806414 (/ y z)))
41.0ms
(/ t (/ (pow z 2) y))
33.0ms
(/ (pow z 2) y)

simplify2.3s

Counts
241 → 241
Iterations

Useful iterations: done (2.2s)

IterNodesCost
03913555
18753217
226692819
done50002817

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

localize65.0ms

Local error

Found 4 expressions with local error:

9.2b
(/ (pow z 2) y)
30.3b
(cbrt (/ (pow z 2) y))
30.3b
(cbrt (/ (pow z 2) y))
30.3b
(cbrt (/ (pow z 2) y))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
96×times-frac
84×cbrt-prod
66×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
39×unpow-prod-down
13×unpow2 sqr-pow
9×add-exp-log
8×associate-/l*
6×add-cbrt-cube
4×pow1 div-inv add-log-exp
3×cbrt-div pow1/3 div-exp associate-/r*
1×cbrt-undiv pow-to-exp frac-2neg pow-exp clear-num
Counts
4 → 160
Calls
4 calls:
17.0ms
(/ (pow z 2) y)
7.0ms
(cbrt (/ (pow z 2) y))
7.0ms
(cbrt (/ (pow z 2) y))
8.0ms
(cbrt (/ (pow z 2) y))

series438.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (pow z 2) y)
131.0ms
(cbrt (/ (pow z 2) y))
136.0ms
(cbrt (/ (pow z 2) y))
133.0ms
(cbrt (/ (pow z 2) y))

simplify1.2s

Counts
172 → 172
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01642191
12442014
24971757
315131724
done50001715

prune1.0s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.3b

regimes888.0ms

Accuracy

97.3% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 27.7b

bsearch381.0ms

Steps
ItersRangePoint
7
2.5506700700001162e+54
3.287951675089043e+56
1.0535111611930094e+55
6
-8.521426269642448e+50
-1.4798213465300822e+50
-1.5358707234250173e+50

simplify14.0ms

Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
04783
17065
done7065

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.6s8865×body80valid