Details

Time bar (total: 35.9s)

sample40.0ms

Algorithm
intervals
Results
17.0ms395×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011206
118206
224206
326206
done26206

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* x y) (* z t)) (* a b))
0.1b
(+ (* x y) (* z t))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×add-sqr-sqrt pow1 +-commutative *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
1×associate-+l+
Counts
2 → 24
Calls
2 calls:
61.0ms
(+ (+ (* x y) (* z t)) (* a b))
12.0ms
(+ (* x y) (* z t))

series134.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(+ (+ (* x y) (* z t)) (* a b))
48.0ms
(+ (* x y) (* z t))

simplify3.5s

Counts
30 → 30
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
0567764
11887122
28316962
331996922
done50016922

prune218.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* z t) (* z t))
0.3b
(* (* x y) (* x y))
1.4b
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
23.3b
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-cbrt-cube add-exp-log
16×prod-exp cbrt-unprod
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×times-frac
8×pow-sqr pow-prod-up
6×add-log-exp
5×difference-of-squares
4×pow-plus associate-/l*
3×associate-/r* flip3-- flip--
2×pow2 swap-sqr associate-*r* associate-*l* associate-/r/ *-commutative associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub div-exp div-inv
Counts
4 → 117
Calls
4 calls:
42.0ms
(* (* z t) (* z t))
26.0ms
(* (* x y) (* x y))
39.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
88.0ms
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

series368.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (* z t) (* z t))
35.0ms
(* (* x y) (* x y))
162.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
132.0ms
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

simplify2.1s

Counts
129 → 129
Iterations

Useful iterations: 2 (575.0ms)

IterNodesCost
015233640
142526369
2167523489
done500123489

prune669.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* x y) (* z t))
0.2b
(/ 1 (/ (/ (- (* x y) (* z t)) (+ (* x y) (* z t))) (- (* x y) (* z t))))
0.3b
(/ (/ (- (* x y) (* z t)) (+ (* x y) (* z t))) (- (* x y) (* z t)))
1.0b
(/ (- (* x y) (* z t)) (+ (* x y) (* z t)))

rewrite549.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
256×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
57×associate-/r*
45×associate-/r/
32×add-exp-log
23×div-inv
21×associate-/l*
20×add-cbrt-cube
19×div-exp
18×flip3-+ flip-+
10×cbrt-undiv
6×flip3-- flip-- add-log-exp
5×pow1
3×rec-exp clear-num frac-2neg 1-exp div-sub associate-/l/
1×+-commutative sum-log pow-flip inv-pow
Counts
4 → 356
Calls
4 calls:
12.0ms
(+ (* x y) (* z t))
416.0ms
(/ 1 (/ (/ (- (* x y) (* z t)) (+ (* x y) (* z t))) (- (* x y) (* z t))))
42.0ms
(/ (/ (- (* x y) (* z t)) (+ (* x y) (* z t))) (- (* x y) (* z t)))
45.0ms
(/ (- (* x y) (* z t)) (+ (* x y) (* z t)))

series260.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(+ (* x y) (* z t))
65.0ms
(/ 1 (/ (/ (- (* x y) (* z t)) (+ (* x y) (* z t))) (- (* x y) (* z t))))
45.0ms
(/ (/ (- (* x y) (* z t)) (+ (* x y) (* z t))) (- (* x y) (* z t)))
84.0ms
(/ (- (* x y) (* z t)) (+ (* x y) (* z t)))

simplify3.8s

Counts
368 → 368
Iterations

Useful iterations: done (3.7s)

IterNodesCost
0510220771
11522189892
done5000183388

prune2.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* x y) (* z t))
0.2b
(/ 1 (/ (/ 1 (/ (+ (* x y) (* z t)) (- (* x y) (* z t)))) (- (* x y) (* z t))))
0.3b
(/ (/ 1 (/ (+ (* x y) (* z t)) (- (* x y) (* z t)))) (- (* x y) (* z t)))
1.0b
(/ (+ (* x y) (* z t)) (- (* x y) (* z t)))

rewrite267.0ms

Algorithm
rewrite-expression-head
Rules
2379×times-frac
1016×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
162×associate-/r*
125×associate-/r/
93×add-exp-log
73×div-exp
71×div-inv
56×associate-/l*
54×flip3-- flip--
29×add-cbrt-cube
17×cbrt-undiv
16×rec-exp 1-exp
6×add-log-exp
5×pow1
3×clear-num frac-2neg associate-/l/
2×flip3-+ flip-+
1×+-commutative sum-log pow-flip inv-pow
Counts
4 → 936
Calls
4 calls:
6.0ms
(+ (* x y) (* z t))
92.0ms
(/ 1 (/ (/ 1 (/ (+ (* x y) (* z t)) (- (* x y) (* z t)))) (- (* x y) (* z t))))
60.0ms
(/ (/ 1 (/ (+ (* x y) (* z t)) (- (* x y) (* z t)))) (- (* x y) (* z t)))
24.0ms
(/ (+ (* x y) (* z t)) (- (* x y) (* z t)))

series245.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(+ (* x y) (* z t))
59.0ms
(/ 1 (/ (/ 1 (/ (+ (* x y) (* z t)) (- (* x y) (* z t)))) (- (* x y) (* z t))))
53.0ms
(/ (/ 1 (/ (+ (* x y) (* z t)) (- (* x y) (* z t)))) (- (* x y) (* z t)))
72.0ms
(/ (+ (* x y) (* z t)) (- (* x y) (* z t)))

simplify10.2s

Counts
948 → 948
Iterations

Useful iterations: done (9.9s)

IterNodesCost
01388733058
14286606926
done5001600963

prune7.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011206
116206
done16206

end0.0ms

sample1.7s

Algorithm
intervals
Results
652.0ms11912×body80valid