Details

Time bar (total: 30.3s)

sample20.0ms

Algorithm
intervals
Results
8.0ms337×body80valid

simplify23.3s

Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

IterNodesCost
089
1149
2259
3488
4888
51388
61828
72618
83568
95658
109868
1116898
1223908
1330878
1447878
done50008

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

1.2b
(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y t) (- z x) x)

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(fma (/ y t) (- z x) x)

simplify431.0ms

Counts
13 → 13
Iterations

Useful iterations: 3 (23.0ms)

IterNodesCost
023154
140154
291138
3220123
4992123
done5001123

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- z x))
0.0b
(+ (/ y (/ t (- z x))) x)
6.5b
(/ y (/ t (- z x)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
246×times-frac
172×*-un-lft-identity
170×add-sqr-sqrt
120×add-cube-cbrt
68×fma-def
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
18×associate-/r/
10×add-exp-log add-cbrt-cube div-inv
8×flip3-- flip--
6×associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 225
Calls
3 calls:
5.0ms
(/ t (- z x))
62.0ms
(+ (/ y (/ t (- z x))) x)
10.0ms
(/ y (/ t (- z x)))

series117.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ t (- z x))
31.0ms
(+ (/ y (/ t (- z x))) x)
56.0ms
(/ y (/ t (- z x)))

simplify714.0ms

Counts
234 → 234
Iterations

Useful iterations: 2 (172.0ms)

IterNodesCost
02482339
15562186
223272093
done50012093

prune565.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (/ (* z y) t) x) (/ (* x y) t))
7.6b
(/ (* z y) t)
7.7b
(/ (* x y) t)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
28×prod-diff
25×add-sqr-sqrt
23×add-cube-cbrt
18×times-frac
13×add-exp-log add-cbrt-cube
9×distribute-lft-out
8×add-log-exp
6×associate-/r* div-inv
4×cbrt-undiv fma-neg div-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg diff-log prod-exp clear-num frac-sub cbrt-unprod associate-/l* distribute-lft-out--
1×sub-neg flip3-- flip3-+ associate--l+ sum-log flip-- flip-+ difference-of-squares
Counts
3 → 99
Calls
3 calls:
63.0ms
(- (+ (/ (* z y) t) x) (/ (* x y) t))
3.0ms
(/ (* z y) t)
3.0ms
(/ (* x y) t)

series74.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- (+ (/ (* z y) t) x) (/ (* x y) t))
19.0ms
(/ (* z y) t)
22.0ms
(/ (* x y) t)

simplify808.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (153.0ms)

IterNodesCost
01792318
14881974
219831629
done50001629

prune192.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sqrt t) (- z x))
0.1b
(/ y (sqrt t))
2.1b
(/ (/ y (sqrt t)) (/ (sqrt t) (- z x)))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
2196×times-frac
1199×add-sqr-sqrt *-un-lft-identity
909×add-cube-cbrt
708×sqrt-prod
145×distribute-lft-out-- difference-of-squares
63×div-inv
49×associate-/r/
47×associate-/r*
31×associate-/l*
24×flip3-- flip--
19×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
3×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
3 → 970
Calls
3 calls:
6.0ms
(/ (sqrt t) (- z x))
3.0ms
(/ y (sqrt t))
36.0ms
(/ (/ y (sqrt t)) (/ (sqrt t) (- z x)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ (sqrt t) (- z x))
46.0ms
(/ y (sqrt t))
78.0ms
(/ (/ y (sqrt t)) (/ (sqrt t) (- z x)))

simplify1.1s

Counts
979 → 979
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0105225913
1318823441
done500122939

prune1.7s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (2.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
done78

end0.0ms

sample537.0ms

Algorithm
intervals
Results
269.0ms10571×body80valid