Details

Time bar (total: 14.4s)

sample31.0ms

Algorithm
intervals
Results
12.0ms357×body80valid

simplify103.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1179
2359
3519
4719
5839
6879
done879

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
8.7b
(/ (- (* x y) (* z t)) a)

rewrite52.0ms

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:
15.0ms
(- (* x y) (* z t))
34.0ms
(/ (- (* x y) (* z t)) a)

series147.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(- (* x y) (* z t))
85.0ms
(/ (- (* x y) (* z t)) a)

simplify2.3s

Counts
54 → 54
Iterations

Useful iterations: done (2.3s)

IterNodesCost
088706
1219679
2687628
32384628
done5002622

prune160.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.9b

localize15.0ms

Local error

Found 2 expressions with local error:

0.3b
(+ (* x y) (- (* t z)))
8.7b
(/ (+ (* x y) (- (* t z))) a)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-log-exp
4×add-exp-log add-cbrt-cube
3×div-sub associate-/r* associate-/l*
2×pow1 neg-sub0 expm1-log1p-u associate-+r- flip3-+ unsub-neg sum-log flip-+ log1p-expm1-u associate-/l/
1×cbrt-undiv +-commutative fma-def frac-2neg div-exp neg-log clear-num div-inv
Counts
2 → 52
Calls
2 calls:
15.0ms
(+ (* x y) (- (* t z)))
46.0ms
(/ (+ (* x y) (- (* t z))) a)

series160.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(+ (* x y) (- (* t z)))
84.0ms
(/ (+ (* x y) (- (* t z))) a)

simplify2.1s

Counts
58 → 58
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
087784
1213698
2746640
33097633
done5000633

prune212.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.9b

localize24.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
8.8b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite82.0ms

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:
16.0ms
(- (* x y) (* z t))
63.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series142.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(- (* x y) (* z t))
90.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify2.7s

Counts
64 → 64
Iterations

Useful iterations: 2 (158.0ms)

IterNodesCost
0114890
1285773
2848682
33323682
done5001682

prune259.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 8.9b

localize24.0ms

Local error

Found 3 expressions with local error:

0.3b
(fma x y (- (* t z)))
0.5b
(/ 1 (/ a (fma x y (- (* t z)))))
8.6b
(/ a (fma x y (- (* t z))))

rewrite47.0ms

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:
1.0ms
(fma x y (- (* t z)))
27.0ms
(/ 1 (/ a (fma x y (- (* t z)))))
10.0ms
(/ a (fma x y (- (* t z))))

series255.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(fma x y (- (* t z)))
111.0ms
(/ 1 (/ a (fma x y (- (* t z)))))
69.0ms
(/ a (fma x y (- (* t z))))

simplify2.4s

Counts
126 → 126
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01642198
13231984
26391767
318991749
done50001748

prune366.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 8.9b

regimes799.0ms

Accuracy

0% (0.3b remaining)

Error of 7.8b against oracle of 7.4b and baseline of 7.8b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
11710
21910
done1910

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.0s11234×body80valid