Details

Time bar (total: 11.2s)

sample30.0ms

Algorithm
intervals
Results
12.0ms341×body80valid

simplify90.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1179
2359
3519
4719
5859
6899
done899

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
7.0b
(/ (- (* x y) (* z t)) a)

rewrite51.0ms

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)

series136.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- (* x y) (* z t))
90.0ms
(/ (- (* x y) (* z t)) a)

simplify2.2s

Counts
54 → 54
Iterations

Useful iterations: 3 (697.0ms)

IterNodesCost
088706
1224679
2790630
34076628
done5000628

prune258.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
7.0b
(/ (* 1 (- (* x y) (* z t))) a)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log
7×add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×times-frac div-exp associate-/r*
2×pow1 cbrt-undiv expm1-log1p-u flip3-- associate-*r/ prod-exp flip-- log1p-expm1-u associate-/l/
1×sub-neg frac-2neg fma-neg diff-log 1-exp prod-diff clear-num cbrt-unprod div-inv associate-/l*
Counts
2 → 42
Calls
2 calls:
9.0ms
(- (* x y) (* z t))
38.0ms
(/ (* 1 (- (* x y) (* z t))) a)

series150.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(- (* x y) (* z t))
93.0ms
(/ (* 1 (- (* x y) (* z t))) a)

simplify1.2s

Counts
48 → 48
Iterations

Useful iterations: done (1.2s)

IterNodesCost
090619
1254543
21480476
done5000472

prune211.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
7.1b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite66.0ms

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))
55.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series151.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(- (* x y) (* z t))
82.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify1.5s

Counts
64 → 64
Iterations

Useful iterations: 2 (251.0ms)

IterNodesCost
0114890
1297775
21538682
done5001682

prune260.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 7.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* z t))
0.2b
(/ 1 (/ a (- (* x y) (* z t))))
7.0b
(/ a (- (* x y) (* z t)))

rewrite109.0ms

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:
28.0ms
(- (* x y) (* z t))
43.0ms
(/ 1 (/ a (- (* x y) (* z t))))
27.0ms
(/ a (- (* x y) (* z t)))

series285.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(- (* x y) (* z t))
137.0ms
(/ 1 (/ a (- (* x y) (* z t))))
83.0ms
(/ a (- (* x y) (* z t)))

simplify1.6s

Counts
142 → 142
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01972568
15002301
224892186
done50022053

prune395.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 7.1b

regimes520.0ms

Accuracy

0% (0.3b remaining)

Error of 7.8b against oracle of 7.5b and baseline of 7.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01111
1169
2179
done179

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s11149×body80valid