Details

Time bar (total: 16.3s)

sample46.0ms

Algorithm
intervals
Results
21.0ms348×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (9.0ms)

IterNodesCost
09165
115165
226165
349140
4100140
5173140
6262140
7349140
8608140
91175140
103484140
done5000140

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

3.0b
(fma (/ y a) (- z t) x)

rewrite1.0ms

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

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(fma (/ y a) (- z t) x)

simplify2.6s

Counts
13 → 13
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0242779
1412779
2942779
32822464
420442464
done50022464

prune79.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) a)
5.6b
(fma y (/ (- z t) a) x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/r*
2×expm1-log1p-u pow1 log1p-expm1-u add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp fma-udef div-inv flip--
Counts
2 → 50
Calls
2 calls:
22.0ms
(/ (- z t) a)
0.0ms
(fma y (/ (- z t) a) x)

series130.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (- z t) a)
89.0ms
(fma y (/ (- z t) a) x)

simplify2.0s

Counts
56 → 56
Iterations

Useful iterations: done (2.0s)

IterNodesCost
09411665
119911126
263411046
3362710926
done500210851

prune332.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.3b
(/ (* y (- z t)) a)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-cbrt-cube add-exp-log
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×expm1-log1p-u associate-/r* fma-def times-frac associate-*l* log1p-expm1-u
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp cbrt-unprod flip-- associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 88
Calls
3 calls:
15.0ms
(+ x (/ (* y (- z t)) a))
24.0ms
(* y (- z t))
18.0ms
(/ (* y (- z t)) a)

series186.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(+ x (/ (* y (- z t)) a))
48.0ms
(* y (- z t))
66.0ms
(/ (* y (- z t)) a)

simplify1.4s

Counts
97 → 97
Iterations

Useful iterations: done (1.4s)

IterNodesCost
017024273
143621363
2179017574
done500117224

prune453.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
5.3b
(/ y (/ a (- z t)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
106×*-un-lft-identity
104×add-sqr-sqrt
72×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 fma-def log1p-expm1-u
2×clear-num frac-2neg
1×+-commutative sum-log flip3-+ flip-+ distribute-lft-out
Counts
3 → 160
Calls
3 calls:
71.0ms
(+ x (/ y (/ a (- z t))))
17.0ms
(/ a (- z t))
27.0ms
(/ y (/ a (- z t)))

series217.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(+ x (/ y (/ a (- z t))))
57.0ms
(/ a (- z t))
81.0ms
(/ y (/ a (- z t)))

simplify1.6s

Counts
169 → 169
Iterations

Useful iterations: done (1.6s)

IterNodesCost
025153355
164348909
2298347391
done500147316

prune1.0s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes943.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
013405
114405
done14405

end0.0ms

sample1.5s

Algorithm
intervals
Results
918.0ms10689×body80valid