Details

Time bar (total: 3.4s)

sample23.0ms

Algorithm
intervals
Results
9.0ms278×body80valid

simplify30.0ms

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite74.0ms

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:
25.0ms
(/ (- x y) (- z y))
45.0ms
(* (/ (- x y) (- z y)) t)

series154.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- x y) (- z y))
101.0ms
(* (/ (- x y) (- z y)) t)

simplify94.0ms

Counts
108 → 108

prune209.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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)

rewrite384.0ms

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:
11.0ms
(/ x (- z y))
84.0ms
(- (/ x (- z y)) (/ y (- z y)))
11.0ms
(/ y (- z y))
273.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series287.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ x (- z y))
70.0ms
(- (/ x (- z y)) (/ y (- z y)))
47.0ms
(/ y (- z y))
139.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify131.0ms

Counts
152 → 152

prune335.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

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:
11.0ms
(/ t (- z y))
48.0ms
(* (- x y) (/ t (- z y)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ t (- z y))
73.0ms
(* (- x y) (/ t (- z y)))

simplify40.0ms

Counts
89 → 89

prune183.0ms

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))

rewrite50.0ms

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:
26.0ms
(* (- x y) t)
23.0ms
(/ (* (- x y) t) (- z y))

series102.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (- x y) t)
69.0ms
(/ (* (- x y) t) (- z y))

simplify30.0ms

Counts
57 → 57

prune98.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes152.0ms

Accuracy

-3.9% (2.2b remaining)

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

bsearch68.0ms

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

simplify1.0ms

end0.0ms

sample737.0ms

Algorithm
intervals
Results
307.0ms8753×body80valid