Details

Time bar (total: 12.6s)

sample80.0ms

Algorithm
intervals
Results
37.0ms284×body80valid

simplify62.0ms

Counts
1 → 1

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.7b

localize63.0ms

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))

rewrite506.0ms

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:
65.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
60.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
195.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
183.0ms
(/ (* 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:
57.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
37.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
258.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
682.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify94.0ms

Counts
99 → 99

prune972.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (- (+ (* (/ 7049496828096731.0 2251799813685248.0) y) (/ (* t y) (pow z 2))) (* (/ 1285181026435087.0 35184372088832.0) (/ y z))))
0.3b
(* (/ 1285181026435087.0 35184372088832.0) (/ y z))
1.9b
(- (+ (* (/ 7049496828096731.0 2251799813685248.0) y) (/ (* t y) (pow z 2))) (* (/ 1285181026435087.0 35184372088832.0) (/ y z)))
11.4b
(/ (* t y) (pow z 2))

rewrite674.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
30×times-frac
29×add-exp-log
24×*-un-lft-identity
22×add-cube-cbrt
21×add-cbrt-cube
18×add-log-exp
13×associate-*r* associate-*l*
10×div-exp
9×frac-sub
8×associate-/r*
7×associate-*l/ prod-exp
6×pow1 cbrt-undiv unpow-prod-down
5×sum-log cbrt-unprod
4×frac-times flip3-+ diff-log associate-*r/ flip-+ unswap-sqr
3×associate-+r+ frac-add div-inv
2×pow-to-exp sub-neg pow-exp associate--l+ unpow2 sqr-pow
1×+-commutative associate-+r- flip3-- frac-2neg pow-prod-down clear-num *-commutative flip-- distribute-lft-out associate-/l*
Counts
4 → 126
Calls
4 calls:
402.0ms
(+ x (- (+ (* (/ 7049496828096731.0 2251799813685248.0) y) (/ (* t y) (pow z 2))) (* (/ 1285181026435087.0 35184372088832.0) (/ y z))))
48.0ms
(* (/ 1285181026435087.0 35184372088832.0) (/ y z))
203.0ms
(- (+ (* (/ 7049496828096731.0 2251799813685248.0) y) (/ (* t y) (pow z 2))) (* (/ 1285181026435087.0 35184372088832.0) (/ y z)))
15.0ms
(/ (* t y) (pow z 2))

series362.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(+ x (- (+ (* (/ 7049496828096731.0 2251799813685248.0) y) (/ (* t y) (pow z 2))) (* (/ 1285181026435087.0 35184372088832.0) (/ y z))))
28.0ms
(* (/ 1285181026435087.0 35184372088832.0) (/ y z))
120.0ms
(- (+ (* (/ 7049496828096731.0 2251799813685248.0) y) (/ (* t y) (pow z 2))) (* (/ 1285181026435087.0 35184372088832.0) (/ y z)))
53.0ms
(/ (* t y) (pow z 2))

simplify102.0ms

Counts
138 → 138

prune837.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1285181026435087.0 35184372088832.0) (/ y z))
1.9b
(- (+ (* (/ 7049496828096731.0 2251799813685248.0) y) (/ t (/ (pow z 2) y))) (* (/ 1285181026435087.0 35184372088832.0) (/ y z)))
5.7b
(/ t (/ (pow z 2) y))
9.2b
(/ (pow z 2) y)

rewrite669.0ms

Algorithm
rewrite-expression-head
Rules
226×times-frac
136×add-sqr-sqrt
124×add-cube-cbrt *-un-lft-identity
48×unpow-prod-down
31×add-exp-log associate-/r*
23×add-cbrt-cube
16×unpow2 sqr-pow
14×div-exp
13×associate-*r* associate-*l*
11×associate-/l*
9×frac-sub add-log-exp
8×cbrt-undiv div-inv
7×associate-*l/
6×pow1
4×frac-times associate-*r/ prod-exp cbrt-unprod unswap-sqr
3×flip3-+ frac-add flip-+
2×pow-to-exp frac-2neg diff-log pow-exp clear-num
1×sub-neg flip3-- pow-prod-down associate--l+ sum-log associate-/r/ *-commutative flip--
Counts
4 → 254
Calls
4 calls:
28.0ms
(* (/ 1285181026435087.0 35184372088832.0) (/ y z))
577.0ms
(- (+ (* (/ 7049496828096731.0 2251799813685248.0) y) (/ t (/ (pow z 2) y))) (* (/ 1285181026435087.0 35184372088832.0) (/ y z)))
21.0ms
(/ t (/ (pow z 2) y))
10.0ms
(/ (pow z 2) y)

series202.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (/ 1285181026435087.0 35184372088832.0) (/ y z))
80.0ms
(- (+ (* (/ 7049496828096731.0 2251799813685248.0) y) (/ t (/ (pow z 2) y))) (* (/ 1285181026435087.0 35184372088832.0) (/ y z)))
49.0ms
(/ t (/ (pow z 2) y))
37.0ms
(/ (pow z 2) y)

simplify56.0ms

Counts
266 → 266

prune1.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

localize51.0ms

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))

rewrite35.0ms

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:
10.0ms
(/ (pow z 2) y)
5.0ms
(cbrt (/ (pow z 2) y))
7.0ms
(cbrt (/ (pow z 2) y))
6.0ms
(cbrt (/ (pow z 2) y))

series398.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (pow z 2) y)
132.0ms
(cbrt (/ (pow z 2) y))
116.0ms
(cbrt (/ (pow z 2) y))
118.0ms
(cbrt (/ (pow z 2) y))

simplify62.0ms

Counts
172 → 172

prune1.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.3b

regimes1.0s

Accuracy

97.3% (0.7b remaining)

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

bsearch308.0ms

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

simplify69.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.8s8865×body80valid