Details

Time bar (total: 10.6s)

sample26.0ms

Algorithm
intervals
Results
12.0ms275×body80valid

simplify252.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1179
2259
3499
4779
51099
61389
71559
81709
91779
101839
111859
done1859

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.2b
(* (/ (- x y) (- z y)) t)

rewrite85.0ms

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:
24.0ms
(/ (- x y) (- z y))
56.0ms
(* (/ (- x y) (- z y)) t)

series214.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ (- x y) (- z y))
151.0ms
(* (/ (- x y) (- z y)) t)

simplify971.0ms

Counts
112 → 112
Iterations

Useful iterations: done (965.0ms)

IterNodesCost
01471339
13811303
214761225
done50011219

prune372.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- z y))
0.0b
(/ y (- z y))
1.2b
(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite472.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
61×add-sqr-sqrt
48×times-frac
27×add-cube-cbrt
20×distribute-lft-out--
18×associate-*l*
14×difference-of-squares
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×associate-/r/
6×associate-/l*
5×pow1 flip3-- flip--
4×associate-*l/ div-inv
3×expm1-log1p-u distribute-rgt-out-- associate-*r* log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg div-exp clear-num
1×pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod sub-div unswap-sqr
Counts
3 → 117
Calls
3 calls:
23.0ms
(/ x (- z y))
25.0ms
(/ y (- z y))
415.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series286.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(/ x (- z y))
64.0ms
(/ y (- z y))
164.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify872.0ms

Counts
126 → 126
Iterations

Useful iterations: done (866.0ms)

IterNodesCost
01801430
13801371
212301299
done50011297

prune393.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- z y) x)
0.0b
(/ y (- z y))
0.3b
(/ 1 (/ (- z y) x))
1.2b
(* (- (/ 1 (/ (- z y) x)) (/ y (- z y))) t)

rewrite767.0ms

Algorithm
rewrite-expression-head
Rules
168×times-frac
157×add-sqr-sqrt
138×*-un-lft-identity
82×add-cube-cbrt
30×difference-of-squares
27×associate-/r*
25×distribute-lft-out--
21×add-exp-log
17×associate-*l*
15×add-cbrt-cube
11×associate-/l*
9×div-exp
8×div-inv
7×pow1
5×cbrt-undiv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- frac-2neg associate-*r* associate-*l/ clear-num associate-/r/ flip--
2×rec-exp 1-exp associate-/l/
1×pow-flip div-sub pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod inv-pow unswap-sqr
Counts
4 → 218
Calls
4 calls:
30.0ms
(/ (- z y) x)
11.0ms
(/ y (- z y))
17.0ms
(/ 1 (/ (- z y) x))
684.0ms
(* (- (/ 1 (/ (- z y) x)) (/ y (- z y))) t)

series477.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ (- z y) x)
62.0ms
(/ y (- z y))
116.0ms
(/ 1 (/ (- z y) x))
254.0ms
(* (- (/ 1 (/ (- z y) x)) (/ y (- z y))) t)

simplify1.9s

Counts
230 → 230
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03063077
17522700
236302596
done50002590

prune671.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x y) t)
10.1b
(/ (* (- x y) t) (- z y))

rewrite84.0ms

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 expm1-log1p-u div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u 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:
33.0ms
(* (- x y) t)
46.0ms
(/ (* (- x y) t) (- z y))

series156.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* (- x y) t)
101.0ms
(/ (* (- x y) t) (- z y))

simplify1.2s

Counts
61 → 61
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0105597
1273576
21497506
done5000502

prune128.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes192.0ms

Accuracy

0% (2.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11415
done1415

end0.0ms

sample964.0ms

Algorithm
intervals
Results
447.0ms8752×body80valid