Details

Time bar (total: 20.5s)

sample43.0ms

Algorithm
intervals
Results
16.0ms278×body80valid

simplify314.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1179
2259
3499
4719
51019
61229
71399
81519
91589
101649
111669
done1669

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.3b
(* (/ (- x y) (- z y)) t)

rewrite131.0ms

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:
44.0ms
(/ (- x y) (- z y))
78.0ms
(* (/ (- x y) (- z y)) t)

series255.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(/ (- x y) (- z y))
166.0ms
(* (/ (- x y) (- z y)) t)

simplify1.1s

Counts
108 → 108
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01431303
13721269
214591191
done50001185

prune608.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.1b
(* (- x y) (/ 1 (- z y)))
2.3b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
10×associate-*l/
8×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp associate-*l* flip--
5×associate-/r*
4×frac-times pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×associate-*r/ un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
21.0ms
(/ 1 (- z y))
76.0ms
(* (- x y) (/ 1 (- z y)))
120.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series316.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(/ 1 (- z y))
77.0ms
(* (- x y) (/ 1 (- z y)))
174.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify9.9s

Counts
128 → 128
Iterations

Useful iterations: 2 (953.0ms)

IterNodesCost
01611461
14181293
236791044
done50001044

prune710.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
9.4b
(* (- x y) (/ t (- z y)))

rewrite130.0ms

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:
34.0ms
(/ t (- z y))
89.0ms
(* (- x y) (/ t (- z y)))

series189.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ t (- z y))
126.0ms
(* (- x y) (/ t (- z y)))

simplify1.6s

Counts
89 → 89
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0130977
1317937
21656865
done5000857

prune600.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(* t (- x y))
13.3b
(/ (* t (- x y)) (- z y))

rewrite89.0ms

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-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in 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 → 55
Calls
2 calls:
40.0ms
(* t (- x y))
45.0ms
(/ (* t (- x y)) (- z y))

series203.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(* t (- x y))
136.0ms
(/ (* t (- x y)) (- z y))

simplify1.1s

Counts
61 → 61
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0105599
1280575
21110509
done5001501

prune363.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
done89

end0.0ms

sample1.4s

Algorithm
intervals
Results
656.0ms8719×body80valid