Details

Time bar (total: 14.2s)

sample32.0ms

Algorithm
intervals
Results
12.0ms354×body80valid

simplify72.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1179
2359
3519
4719
5859
6899
done899

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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:
10.0ms
(- (* x y) (* z t))
34.0ms
(/ (- (* x y) (* z t)) a)

series122.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(- (* x y) (* z t))
69.0ms
(/ (- (* x y) (* z t)) a)

simplify2.4s

Counts
54 → 54
Iterations

Useful iterations: 3 (760.0ms)

IterNodesCost
088706
1224679
2790630
34076628
done5000628

prune236.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
9.4b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite55.0ms

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:
9.0ms
(- (* x y) (* z t))
45.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series137.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(- (* x y) (* z t))
73.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify1.5s

Counts
64 → 64
Iterations

Useful iterations: 2 (228.0ms)

IterNodesCost
0114890
1297775
21538682
done5001682

prune286.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 9.6b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
3.6b
(/ (/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a))) (cbrt a))
5.9b
(/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
38×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
30×cbrt-prod
18×add-exp-log
11×add-cbrt-cube
10×associate-/l*
9×div-inv
7×cbrt-undiv div-exp associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×div-sub associate-/l/
2×frac-2neg pow1/3 prod-exp clear-num cbrt-unprod
1×flip3-- flip--
Counts
4 → 127
Calls
4 calls:
2.0ms
(cbrt a)
2.0ms
(cbrt a)
63.0ms
(/ (/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a))) (cbrt a))
29.0ms
(/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a)))

series1.1s

Counts
4 → 12
Calls
4 calls:
283.0ms
(cbrt a)
284.0ms
(cbrt a)
129.0ms
(/ (/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a))) (cbrt a))
363.0ms
(/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a)))

simplify2.2s

Counts
139 → 139
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01942699
15462613
231672102
done50022078

prune939.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 9.6b

localize22.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 1 (/ a (- (* x y) (* z t))))
0.5b
(- (* x y) (* z t))
9.2b
(/ a (- (* x y) (* z t)))

rewrite105.0ms

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:
50.0ms
(/ 1 (/ a (- (* x y) (* z t))))
18.0ms
(- (* x y) (* z t))
28.0ms
(/ a (- (* x y) (* z t)))

series237.0ms

Counts
3 → 9
Calls
3 calls:
120.0ms
(/ 1 (/ a (- (* x y) (* z t))))
61.0ms
(- (* x y) (* z t))
57.0ms
(/ a (- (* x y) (* z t)))

simplify2.0s

Counts
142 → 142
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01972568
14992301
224252186
done50022053

prune443.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 9.6b

regimes473.0ms

Accuracy

0% (0.3b remaining)

Error of 7.7b against oracle of 7.4b and baseline of 7.7b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample1.6s

Algorithm
intervals
Results
753.0ms11088×body80valid