Details

Time bar (total: 15.0s)

sample55.0ms

Algorithm
intervals
Results
26.0ms348×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 5 (80.0ms)

IterNodesCost
09165
116165
232165
371165
4172165
5409140
61582140
done5000140

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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:
1.0ms
(fma (/ y a) (- t z) x)

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(fma (/ y a) (- t z) x)

simplify2.4s

Counts
13 → 13
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0242779
1412779
2942779
32842464
419942464
done50002464

prune110.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) a)
5.5b
(fma (/ (- t z) a) y x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
associate-/l*
add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
associate-/r*
expm1-log1p-u pow1 log1p-expm1-u add-log-exp associate-/l/
cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp fma-udef div-inv flip--
Counts
2 → 50
Calls
2 calls:
18.0ms
(/ (- t z) a)
0.0ms
(fma (/ (- t z) a) y x)

series86.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (- t z) a)
53.0ms
(fma (/ (- t z) a) y x)

simplify2.0s

Counts
56 → 56
Iterations

Useful iterations: done (2.0s)

IterNodesCost
09511421
119910882
263210802
3377710722
done500010672

prune279.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

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)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt prod-diff
37×*-un-lft-identity
33×add-cube-cbrt
12×times-frac
11×distribute-rgt-in distribute-lft-in
10×add-cbrt-cube add-exp-log
pow1 associate-*r* add-log-exp
associate-*r/ div-inv
expm1-log1p-u associate-/r* sub-neg flip3-- fma-neg associate-*l* log1p-expm1-u flip--
cbrt-undiv div-exp prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares associate-/l/
clear-num frac-2neg diff-log pow-prod-down *-commutative associate-/l* unswap-sqr
Counts
3 → 111
Calls
3 calls:
8.0ms
(- x (/ (* y (- z t)) a))
18.0ms
(* y (- z t))
17.0ms
(/ (* y (- z t)) a)

series198.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(- x (/ (* y (- z t)) a))
56.0ms
(* y (- z t))
60.0ms
(/ (* y (- z t)) a)

simplify1.5s

Counts
120 → 120
Iterations

Useful iterations: done (1.4s)

IterNodesCost
022439544
157235368
2263928993
done500028650

prune625.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 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)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
465×times-frac
382×add-sqr-sqrt
375×*-un-lft-identity
287×add-cube-cbrt
204×prod-diff
46×difference-of-squares
44×distribute-lft-out--
32×associate-/r/
26×associate-/r*
18×div-inv
15×flip3-- flip--
10×add-cbrt-cube add-exp-log
associate-/l*
add-log-exp
cbrt-undiv div-exp
expm1-log1p-u pow1 fma-neg log1p-expm1-u
clear-num frac-2neg
sub-neg diff-log
Counts
3 → 368
Calls
3 calls:
46.0ms
(- x (/ y (/ a (- z t))))
18.0ms
(/ a (- z t))
21.0ms
(/ y (/ a (- z t)))

series201.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(- x (/ y (/ a (- z t))))
52.0ms
(/ a (- z t))
77.0ms
(/ y (/ a (- z t)))

simplify1.7s

Counts
377 → 377
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0668264272
11845241332
done5001221195

prune2.0s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes874.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
013405
done13405

end0.0ms

sample1.1s

Algorithm
intervals
Results
503.0ms10689×body80valid