Details

Time bar (total: 9.6s)

sample25.0ms

Algorithm
intervals
Results
10.0ms359×body80valid

simplify43.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1179
2359
3519
4719
5839
6879
done879

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
7.3b
(/ (- (* x y) (* z t)) a)

rewrite12.0ms

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:
3.0ms
(- (* x y) (* z t))
8.0ms
(/ (- (* x y) (* z t)) a)

series99.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (* x y) (* z t))
56.0ms
(/ (- (* x y) (* z t)) a)

simplify1.1s

Counts
54 → 54
Iterations

Useful iterations: done (1.0s)

IterNodesCost
088706
1216679
2680628
32460628
done5000626

prune177.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
7.4b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×add-exp-log *-un-lft-identity times-frac
10×add-cube-cbrt
7×add-cbrt-cube
4×pow1 prod-exp add-log-exp
3×flip3-- associate-*l* flip-- unswap-sqr
2×expm1-log1p-u frac-times div-exp associate-*l/ cbrt-unprod log1p-expm1-u
1×cbrt-undiv sub-neg rec-exp fma-neg diff-log 1-exp associate-*r/ prod-diff pow-prod-down un-div-inv *-commutative div-inv
Counts
2 → 58
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
15.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series100.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (* x y) (* z t))
58.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify1.9s

Counts
64 → 64
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0114890
1290773
2886696
33512696
done5000695

prune175.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b
(fma x y (- (* t z)))
0.4b
(/ 1 (/ a (fma x y (- (* t z)))))
7.3b
(/ a (fma x y (- (* t z))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×pow-flip associate-/r/ fma-udef inv-pow
Counts
3 → 117
Calls
3 calls:
0.0ms
(fma x y (- (* t z)))
5.0ms
(/ 1 (/ a (fma x y (- (* t z)))))
2.0ms
(/ a (fma x y (- (* t z))))

series186.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(fma x y (- (* t z)))
89.0ms
(/ 1 (/ a (fma x y (- (* t z)))))
49.0ms
(/ a (fma x y (- (* t z))))

simplify1.4s

Counts
126 → 126
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01642198
13381984
27921767
322681749
done50001747

prune283.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b
(fma x y (- (* t z)))
0.8b
(/ 1 (fma x y (- (* t z))))
6.6b
(/ (/ 1 a) (/ 1 (fma x y (- (* t z)))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
207×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
47×add-exp-log
34×div-exp
30×div-inv
17×add-cbrt-cube
16×associate-/r* associate-/l*
9×cbrt-undiv rec-exp 1-exp
4×pow1
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×pow-flip associate-/r/ fma-udef associate-/l/ inv-pow
Counts
3 → 272
Calls
3 calls:
0.0ms
(fma x y (- (* t z)))
2.0ms
(/ 1 (fma x y (- (* t z))))
11.0ms
(/ (/ 1 a) (/ 1 (fma x y (- (* t z)))))

series178.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(fma x y (- (* t z)))
38.0ms
(/ 1 (fma x y (- (* t z))))
91.0ms
(/ (/ 1 a) (/ 1 (fma x y (- (* t z)))))

simplify2.5s

Counts
281 → 281
Iterations

Useful iterations: done (2.5s)

IterNodesCost
04017157
111675711
221715101
347295025
done50015024

prune304.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.0b

regimes432.0ms

Accuracy

67% (1.3b remaining)

Error of 5.1b against oracle of 3.7b and baseline of 7.8b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02555
13645
23845
done3845

end0.0ms

sample658.0ms

Algorithm
intervals
Results
321.0ms11186×body80valid