Details

Time bar (total: 20.1s)

sample24.0ms

Algorithm
intervals
Results
9.0ms272×body80valid

simplify228.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.1b
(* (/ (- x y) (- z y)) t)

rewrite158.0ms

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:
57.0ms
(/ (- x y) (- z y))
91.0ms
(* (/ (- x y) (- z y)) t)

series226.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(/ (- x y) (- z y))
146.0ms
(* (/ (- x y) (- z y)) t)

simplify2.5s

Counts
112 → 112
Iterations

Useful iterations: 2 (316.0ms)

IterNodesCost
01471339
13691303
29841219
329821219
done50001219

prune385.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (- z y))
0.0b
(/ x (- z y))
0.0b
(- (/ x (- z y)) (/ y (- z y)))
2.1b
(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite770.0ms

Algorithm
rewrite-expression-head
Rules
743×*-un-lft-identity
725×add-sqr-sqrt
711×times-frac
441×prod-diff
417×add-cube-cbrt
161×distribute-lft-out--
149×difference-of-squares
98×associate-/r/
51×flip3-- flip--
49×div-inv
21×fma-neg
18×associate-*l*
10×add-exp-log associate-/r* add-cbrt-cube
6×pow1 distribute-rgt-out-- associate-/l* add-log-exp
4×expm1-log1p-u associate-*l/ log1p-expm1-u
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 → 610
Calls
4 calls:
22.0ms
(/ y (- z y))
23.0ms
(/ x (- z y))
169.0ms
(- (/ x (- z y)) (/ y (- z y)))
470.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series418.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ y (- z y))
49.0ms
(/ x (- z y))
111.0ms
(- (/ x (- z y)) (/ y (- z y)))
196.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify2.6s

Counts
622 → 622
Iterations

Useful iterations: done (2.6s)

IterNodesCost
059328840
1128325938
2281919958
done500015378

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- z y))
0.0b
(/ y (- z y))
0.1b
(fma x (/ 1 (- z y)) (- (/ y (- z y))))
2.1b
(* (fma x (/ 1 (- z y)) (- (/ y (- z y)))) t)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
42×*-un-lft-identity
30×times-frac
26×add-cube-cbrt
12×add-exp-log
10×associate-/r* add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
7×pow1
6×associate-/l*
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×div-exp associate-*r* associate-*l*
2×cbrt-undiv flip3-- frac-2neg clear-num flip-- div-inv
1×rec-exp pow-flip 1-exp pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef inv-pow unswap-sqr
Counts
4 → 112
Calls
4 calls:
21.0ms
(/ 1 (- z y))
18.0ms
(/ y (- z y))
0.0ms
(fma x (/ 1 (- z y)) (- (/ y (- z y))))
12.0ms
(* (fma x (/ 1 (- z y)) (- (/ y (- z y)))) t)

series416.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ 1 (- z y))
53.0ms
(/ y (- z y))
102.0ms
(fma x (/ 1 (- z y)) (- (/ y (- z y))))
213.0ms
(* (fma x (/ 1 (- z y)) (- (/ y (- z y)))) t)

simplify1.5s

Counts
124 → 124
Iterations

Useful iterations: 2 (141.0ms)

IterNodesCost
01541392
12831299
26391115
317961115
done50001115

prune375.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- z y) x)
0.0b
(- (/ 1 (/ (- z y) x)) (/ y (- z y)))
0.8b
(/ 1 (/ (- z y) x))
2.1b
(* (- (/ 1 (/ (- z y) x)) (/ y (- z y))) t)

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
3348×times-frac
2532×add-sqr-sqrt
2496×*-un-lft-identity
1664×add-cube-cbrt
1302×prod-diff
420×difference-of-squares
410×distribute-lft-out--
158×div-inv
147×associate-/r/
65×flip3-- flip--
62×fma-neg
22×associate-/r*
19×add-exp-log
17×associate-*l*
13×add-cbrt-cube
8×div-exp associate-/l*
7×pow1
6×add-log-exp
4×cbrt-undiv expm1-log1p-u log1p-expm1-u
3×associate-*r* associate-*l/
2×rec-exp frac-2neg 1-exp clear-num frac-sub associate-/l/
1×sub-neg pow-flip diff-log div-sub pow-prod-down prod-exp *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 1572
Calls
4 calls:
25.0ms
(/ (- z y) x)
317.0ms
(- (/ 1 (/ (- z y) x)) (/ y (- z y)))
20.0ms
(/ 1 (/ (- z y) x))
707.0ms
(* (- (/ 1 (/ (- z y) x)) (/ y (- z y))) t)

series692.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ (- z y) x)
264.0ms
(- (/ 1 (/ (- z y) x)) (/ y (- z y)))
111.0ms
(/ 1 (/ (- z y) x))
276.0ms
(* (- (/ 1 (/ (- z y) x)) (/ y (- z y))) t)

simplify3.2s

Counts
1584 → 1584
Iterations

Useful iterations: 2 (1.9s)

IterNodesCost
0131989920
1281377053
2463956038
done500056038

prune2.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes244.0ms

Accuracy

-4.3% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch105.0ms

Steps
ItersRangePoint
8
3.2145479687067177e-198
5.0039998940534755e-194
1.1886376504070966e-194
8
-2.8393338688541856e-263
-8.06567362835162e-268
-1.0733886013619553e-267

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01843
12331
done2331

end0.0ms

sample1.5s

Algorithm
intervals
Results
469.0ms8709×body80valid