Details

Time bar (total: 9.6s)

sample25.0ms

Algorithm
intervals
Results
10.0ms347×body80valid

simplify50.0ms

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: 9.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
9.3b
(/ (- (* x y) (* z t)) a)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
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)

series102.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(- (* x y) (* z t))
55.0ms
(/ (- (* x y) (* z t)) a)

simplify1.1s

Counts
54 → 54
Iterations

Useful iterations: done (1.1s)

IterNodesCost
088706
1216679
2663642
32170628
done5000626

prune208.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x y (- (* z t)))
9.3b
(/ (fma x y (- (* z t))) a)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube
associate-/r* associate-/l*
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma x y (- (* z t)))
3.0ms
(/ (fma x y (- (* z t))) a)

series113.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(fma x y (- (* z t)))
64.0ms
(/ (fma x y (- (* z t))) a)

simplify2.0s

Counts
45 → 45
Iterations

Useful iterations: 4 (766.0ms)

IterNodesCost
067574
1110565
2258513
3855513
43518512
done5000512

prune165.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 9.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x y (- (* z t)))
0.7b
(/ 1 (/ a (fma x y (- (* z t)))))
9.3b
(/ a (fma x y (- (* z t))))

rewrite13.0ms

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
div-exp
div-inv associate-/l*
pow1 cbrt-undiv
expm1-log1p-u log1p-expm1-u add-log-exp
rec-exp frac-2neg 1-exp clear-num
pow-flip associate-/r/ fma-udef inv-pow
Counts
3 → 117
Calls
3 calls:
0.0ms
(fma x y (- (* z t)))
5.0ms
(/ 1 (/ a (fma x y (- (* z t)))))
2.0ms
(/ a (fma x y (- (* z t))))

series191.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(fma x y (- (* z t)))
91.0ms
(/ 1 (/ a (fma x y (- (* z t)))))
50.0ms
(/ a (fma x y (- (* z t))))

simplify1.8s

Counts
126 → 126
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01652198
13381984
26641767
318971749
done50001748

prune312.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 9.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x y (- (* t z)))
0.7b
(/ 1 (/ a (fma x y (- (* t z)))))
9.3b
(/ 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
div-exp
div-inv associate-/l*
pow1 cbrt-undiv
expm1-log1p-u log1p-expm1-u add-log-exp
rec-exp frac-2neg 1-exp clear-num
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))))

series200.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(fma x y (- (* t z)))
97.0ms
(/ 1 (/ a (fma x y (- (* t z)))))
48.0ms
(/ a (fma x y (- (* t z))))

simplify1.8s

Counts
126 → 126
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01642198
13381984
26661767
319001749
done50001748

prune303.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 9.4b

regimes464.0ms

Accuracy

0% (0.3b remaining)

Error of 7.9b against oracle of 7.6b and baseline of 7.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1149
2169
done169

end0.0ms

sample689.0ms

Algorithm
intervals
Results
345.0ms11156×body80valid