Details

Time bar (total: 16.9s)

sample56.0ms

Algorithm
intervals
Results
23.0ms382×body80valid

simplify96.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1179
2359
3519
4719
5859
6899
done899

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize19.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
7.7b
(/ (- (* x y) (* z t)) a)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num div-inv
Counts
2 → 48
Calls
2 calls:
16.0ms
(- (* x y) (* z t))
37.0ms
(/ (- (* x y) (* z t)) a)

series163.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(- (* x y) (* z t))
94.0ms
(/ (- (* x y) (* z t)) a)

simplify3.3s

Counts
54 → 54
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
088706
1224679
2790630
34076628
done5000628

prune555.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 7.9b

localize36.0ms

Local error

Found 3 expressions with local error:

0.3b
(- (* x y) (* z t))
0.3b
(/ 1 (/ a (- (* x y) (* z t))))
7.7b
(/ a (- (* x y) (* z t)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num
1×sub-neg pow-flip fma-neg diff-log prod-diff inv-pow
Counts
3 → 133
Calls
3 calls:
18.0ms
(- (* x y) (* z t))
41.0ms
(/ 1 (/ a (- (* x y) (* z t))))
27.0ms
(/ a (- (* x y) (* z t)))

series323.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(- (* x y) (* z t))
151.0ms
(/ 1 (/ a (- (* x y) (* z t))))
95.0ms
(/ a (- (* x y) (* z t)))

simplify2.3s

Counts
142 → 142
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01972568
15002301
224892186
done50022053

prune996.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 7.9b

localize30.0ms

Local error

Found 2 expressions with local error:

0.3b
(fma (- t) z (* y x))
7.8b
(* (/ 1 a) (fma (- t) z (* y x)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
11×add-exp-log *-un-lft-identity times-frac
10×add-cube-cbrt
7×add-cbrt-cube
4×pow1 prod-exp
3×associate-*r* fma-udef unswap-sqr
2×expm1-log1p-u div-exp cbrt-unprod log1p-expm1-u add-log-exp
1×cbrt-undiv distribute-rgt-in rec-exp distribute-lft-in 1-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
2 → 49
Calls
2 calls:
1.0ms
(fma (- t) z (* y x))
35.0ms
(* (/ 1 a) (fma (- t) z (* y x)))

series262.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(fma (- t) z (* y x))
166.0ms
(* (/ 1 a) (fma (- t) z (* y x)))

simplify1.2s

Counts
55 → 55
Iterations

Useful iterations: done (1.2s)

IterNodesCost
091729
1210653
21051561
done5000553

prune508.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.7b

localize33.0ms

Local error

Found 3 expressions with local error:

0.3b
(- (* x y) (* z t))
0.7b
(/ 1 (- (* x y) (* z t)))
7.1b
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
221×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
47×add-exp-log
34×div-exp
32×div-inv
31×associate-/r/
18×associate-/r*
17×add-cbrt-cube
16×flip3-- flip-- associate-/l*
9×cbrt-undiv rec-exp 1-exp
5×add-log-exp
4×pow1
3×expm1-log1p-u log1p-expm1-u
2×frac-2neg clear-num
1×sub-neg pow-flip fma-neg diff-log prod-diff associate-/l/ inv-pow
Counts
3 → 308
Calls
3 calls:
18.0ms
(- (* x y) (* z t))
41.0ms
(/ 1 (- (* x y) (* z t)))
63.0ms
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

series305.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(- (* x y) (* z t))
62.0ms
(/ 1 (- (* x y) (* z t)))
163.0ms
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

simplify1.3s

Counts
317 → 317
Iterations

Useful iterations: done (1.3s)

IterNodesCost
04708395
115696912
done50016414

prune1.1s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 4.7b

regimes1.8s

Accuracy

79.4% (0.8b remaining)

Error of 4.7b against oracle of 3.9b and baseline of 7.8b

bsearch2.0ms

simplify11.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02347
13336
23936
done3936

end0.0ms

sample2.3s

Algorithm
intervals
Results
804.0ms11275×body80valid