Details

Time bar (total: 12.7s)

sample33.0ms

Algorithm
intervals
Results
13.0ms278×body80valid

simplify163.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1179
2259
3499
4709
51009
61179
71329
81429
91479
done1479

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- x y) (- z y))
2.6b
(* (/ (- x y) (- z y)) t)

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
42.0ms
(/ (- x y) (- z y))
88.0ms
(* (/ (- x y) (- z y)) t)

series237.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(/ (- x y) (- z y))
159.0ms
(* (/ (- x y) (- z y)) t)

simplify2.5s

Counts
108 → 108
Iterations

Useful iterations: 2 (233.0ms)

IterNodesCost
01431303
13601269
29631185
328881185
done50001185

prune264.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (- z y))
0.0b
(- (/ x (- z y)) (/ y (- z y)))
0.0b
(/ y (- z y))
2.6b
(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite477.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
80×add-sqr-sqrt
66×times-frac
32×distribute-lft-out--
30×add-cube-cbrt
20×difference-of-squares
18×associate-*l*
12×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
8×flip3-- flip--
6×pow1 distribute-rgt-out-- div-inv associate-/l* add-log-exp
4×associate-*l/
3×associate-*r*
2×cbrt-undiv frac-2neg div-exp clear-num frac-sub sub-div
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 140
Calls
4 calls:
14.0ms
(/ x (- z y))
113.0ms
(- (/ x (- z y)) (/ y (- z y)))
19.0ms
(/ y (- z y))
316.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series442.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(/ x (- z y))
102.0ms
(- (/ x (- z y)) (/ y (- z y)))
72.0ms
(/ y (- z y))
215.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify1.7s

Counts
152 → 152
Iterations

Useful iterations: 2 (187.0ms)

IterNodesCost
01871884
13771818
29261718
324351718
done50011718

prune402.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
9.0b
(* (- x y) (/ t (- z y)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
19.0ms
(/ t (- z y))
59.0ms
(* (- x y) (/ t (- z y)))

series155.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ t (- z y))
115.0ms
(* (- x y) (/ t (- z y)))

simplify2.6s

Counts
89 → 89
Iterations

Useful iterations: 2 (173.0ms)

IterNodesCost
0130977
1290931
21085857
34338857
done5000857

prune231.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x y) t)
12.3b
(/ (* (- x y) t) (- z y))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*l* associate-/r*
4×pow1 associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
21.0ms
(* (- x y) t)
28.0ms
(/ (* (- x y) t) (- z y))

series133.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* (- x y) t)
86.0ms
(/ (* (- x y) t) (- z y))

simplify1.5s

Counts
57 → 57
Iterations

Useful iterations: 2 (203.0ms)

IterNodesCost
0101565
1255545
21060471
done5000471

prune102.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes315.0ms

Accuracy

-3.9% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.1b

bsearch113.0ms

Steps
ItersRangePoint
10
1.5319929683350882e-65
5.317179122404824e-51
8.76076775974317e-63
7
-1.4039338878839704e-37
-6.348119164927291e-39
-4.0376800463870345e-38

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01843
12331
done2331

end0.0ms

sample987.0ms

Algorithm
intervals
Results
438.0ms8753×body80valid