Details

Time bar (total: 16.2s)

sample51.0ms

Algorithm
intervals
Results
23.0ms356×body80valid

simplify52.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2339
3459
4639
5699
done699

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
6.6b
(/ (- (* x y) (* z t)) a)

rewrite47.0ms

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 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 42
Calls
2 calls:
8.0ms
(- (* x y) (* z t))
38.0ms
(/ (- (* x y) (* z t)) a)

series135.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(- (* x y) (* z t))
78.0ms
(/ (- (* x y) (* z t)) a)

simplify2.0s

Counts
48 → 48
Iterations

Useful iterations: 3 (708.0ms)

IterNodesCost
080652
1210632
2726584
33754582
done5001582

prune273.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.7b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
6.6b
(/ (* 1 (- (* x y) (* z t))) a)

rewrite53.0ms

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 flip3-- associate-*r/ prod-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log 1-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
2 → 36
Calls
2 calls:
15.0ms
(- (* x y) (* z t))
35.0ms
(/ (* 1 (- (* x y) (* z t))) a)

series230.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(- (* x y) (* z t))
159.0ms
(/ (* 1 (- (* x y) (* z t))) a)

simplify1.0s

Counts
42 → 42
Iterations

Useful iterations: done (1.0s)

IterNodesCost
082561
1243494
21251430
done5002426

prune299.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.7b

localize24.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
6.7b
(* (* 1 (- (* x y) (* z t))) (/ 1 a))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log
20×prod-exp
14×add-cbrt-cube
13×associate-*r*
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
7×pow1 1-exp
6×div-exp cbrt-unprod
5×associate-*r/
4×add-log-exp
3×rec-exp flip3-- pow-prod-down flip--
2×cbrt-undiv frac-times associate-*l/
1×sub-neg diff-log associate-*l* un-div-inv *-commutative div-inv
Counts
2 → 58
Calls
2 calls:
8.0ms
(- (* x y) (* z t))
67.0ms
(* (* 1 (- (* x y) (* z t))) (/ 1 a))

series126.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(- (* x y) (* z t))
69.0ms
(* (* 1 (- (* x y) (* z t))) (/ 1 a))

simplify6.3s

Counts
64 → 64
Iterations

Useful iterations: done (6.3s)

IterNodesCost
01211025
1379824
23031669
done5000659

prune320.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 6.7b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(- (* x y) (* z t))
0.2b
(/ 1 (/ a (- (* x y) (* z t))))
6.6b
(/ a (- (* x y) (* z t)))

rewrite76.0ms

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
2×rec-exp frac-2neg 1-exp clear-num
1×sub-neg pow-flip diff-log inv-pow
Counts
3 → 125
Calls
3 calls:
8.0ms
(- (* x y) (* z t))
40.0ms
(/ 1 (/ a (- (* x y) (* z t))))
22.0ms
(/ a (- (* x y) (* z t)))

series233.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(- (* x y) (* z t))
112.0ms
(/ 1 (/ a (- (* x y) (* z t))))
69.0ms
(/ a (- (* x y) (* z t)))

simplify1.6s

Counts
134 → 134
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01872490
14872241
224022098
done50011998

prune576.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 6.7b

regimes1.1s

Accuracy

0% (0.3b remaining)

Error of 7.7b against oracle of 7.3b and baseline of 7.7b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01111
1169
2179
done179

end0.0ms

sample1.6s

Algorithm
intervals
Results
693.0ms11062×body80valid