Details

Time bar (total: 17.6s)

sample44.0ms

Algorithm
intervals
Results
18.0ms282×body80valid

simplify283.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1179
2259
3499
4769
51089
61339
71489
81619
91669
done1669

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.4b
(* (/ (- x y) (- z y)) t)

rewrite122.0ms

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 expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
56.0ms
(/ (- x y) (- z y))
59.0ms
(* (/ (- x y) (- z y)) t)

series232.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(/ (- x y) (- z y))
145.0ms
(* (/ (- x y) (- z y)) t)

simplify2.4s

Counts
112 → 112
Iterations

Useful iterations: 2 (226.0ms)

IterNodesCost
01471339
13691303
29841219
329821219
done50001219

prune337.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.3b
(* (- x y) (/ 1 (- z y)))
2.4b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite188.0ms

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 expm1-log1p-u rec-exp 1-exp log1p-expm1-u 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 → 125
Calls
3 calls:
25.0ms
(/ 1 (- z y))
70.0ms
(* (- x y) (/ 1 (- z y)))
83.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series288.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ 1 (- z y))
76.0ms
(* (- x y) (/ 1 (- z y)))
150.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify4.3s

Counts
134 → 134
Iterations

Useful iterations: 2 (338.0ms)

IterNodesCost
01671517
13851235
212231073
347241073
done50001073

prune348.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
9.7b
(* (- x y) (/ t (- z y)))

rewrite123.0ms

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 expm1-log1p-u frac-times div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
29.0ms
(/ t (- z y))
87.0ms
(* (- x y) (/ t (- z y)))

series148.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ t (- z y))
101.0ms
(* (- x y) (/ t (- z y)))

simplify3.2s

Counts
93 → 93
Iterations

Useful iterations: 2 (191.0ms)

IterNodesCost
01341009
1298962
21104888
34477888
done5000888

prune336.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* t (/ 1 (- z y)))
9.7b
(* (- x y) (* t (/ 1 (- z y))))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×associate-*r/ div-exp
5×flip3-- associate-/r* flip--
4×frac-times pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv expm1-log1p-u rec-exp 1-exp log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×associate-*l/ *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 123
Calls
3 calls:
15.0ms
(/ 1 (- z y))
31.0ms
(* t (/ 1 (- z y)))
107.0ms
(* (- x y) (* t (/ 1 (- z y))))

series170.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- z y))
50.0ms
(* t (/ 1 (- z y)))
83.0ms
(* (- x y) (* t (/ 1 (- z y))))

simplify3.0s

Counts
132 → 132
Iterations

Useful iterations: 2 (251.0ms)

IterNodesCost
01621404
13671127
2953981
33492981
done5001981

prune230.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes389.0ms

Accuracy

49.3% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify8.0ms

Iterations

Useful iterations: done (8.0ms)

IterNodesCost
01966
12458
22750
33050
done3049

end0.0ms

sample1.2s

Algorithm
intervals
Results
720.0ms8746×body80valid