Details

Time bar (total: 16.1s)

sample39.0ms

Algorithm
intervals
Results
15.0ms282×body80valid

simplify195.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite102.0ms

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))
65.0ms
(* (/ (- x y) (- z y)) t)

series208.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ (- x y) (- z y))
136.0ms
(* (/ (- x y) (- z y)) t)

simplify2.5s

Counts
108 → 108
Iterations

Useful iterations: 2 (210.0ms)

IterNodesCost
01431303
13601269
29631185
328881185
done50001185

prune334.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)

rewrite178.0ms

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:
25.0ms
(/ 1 (- z y))
61.0ms
(* (- x y) (/ 1 (- z y)))
78.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series286.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ 1 (- z y))
91.0ms
(* (- x y) (/ 1 (- z y)))
143.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify3.9s

Counts
128 → 128
Iterations

Useful iterations: 2 (298.0ms)

IterNodesCost
01611461
13751188
212041026
345791026
done50001026

prune349.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite82.0ms

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:
16.0ms
(/ t (- z y))
62.0ms
(* (- x y) (/ t (- z y)))

series498.0ms

Counts
2 → 6
Calls
2 calls:
410.0ms
(/ t (- z y))
88.0ms
(* (- x y) (/ t (- z y)))

simplify3.0s

Counts
89 → 89
Iterations

Useful iterations: 2 (154.0ms)

IterNodesCost
0130977
1290931
21085857
34338857
done5000857

prune284.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize16.0ms

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))))

rewrite183.0ms

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 rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×associate-*l/ *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 117
Calls
3 calls:
26.0ms
(/ 1 (- z y))
60.0ms
(* t (/ 1 (- z y)))
87.0ms
(* (- x y) (* t (/ 1 (- z y))))

series203.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ 1 (- z y))
39.0ms
(* t (/ 1 (- z y)))
112.0ms
(* (- x y) (* t (/ 1 (- z y))))

simplify2.3s

Counts
126 → 126
Iterations

Useful iterations: 2 (203.0ms)

IterNodesCost
01561352
13571085
2934939
33388939
done5000939

prune225.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes272.0ms

Accuracy

49.3% (1.2b remaining)

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

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: done (6.0ms)

IterNodesCost
01966
12458
22750
33050
done3049

end0.0ms

sample980.0ms

Algorithm
intervals
Results
424.0ms8746×body80valid