Details

Time bar (total: 21.6s)

sample37.0ms

Algorithm
intervals
Results
14.0ms269×body80valid

simplify59.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
015327
126327
235327
341327
445327
547327
done47327

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
5.6b
(/ (* y b) t)
6.4b
(/ (* y z) t)
11.7b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
26×times-frac
22×distribute-lft-out
19×add-sqr-sqrt add-cube-cbrt
16×add-cbrt-cube add-exp-log
11×associate-/r*
6×associate-/l* add-log-exp
5×cbrt-undiv div-exp
4×pow1 flip3-+ associate-/r/ flip-+
3×clear-num frac-2neg div-inv
2×frac-add prod-exp cbrt-unprod associate-/l/
1×+-commutative sum-log
Counts
4 → 101
Calls
4 calls:
15.0ms
(+ x (/ (* y z) t))
15.0ms
(/ (* y b) t)
15.0ms
(/ (* y z) t)
105.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series260.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ x (/ (* y z) t))
34.0ms
(/ (* y b) t)
35.0ms
(/ (* y z) t)
155.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.8s

Counts
113 → 113
Iterations

Useful iterations: done (1.7s)

IterNodesCost
017933990
147631634
2174431394
done501130994

prune873.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 11.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
3.0b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
5.6b
(/ (* y b) t)
11.7b
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
48×add-sqr-sqrt
46×times-frac
32×add-exp-log add-cube-cbrt
25×add-cbrt-cube
22×associate-*r*
14×cbrt-prod
12×distribute-lft-out
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
8×associate-/r*
7×associate-*l*
6×pow1 unswap-sqr
4×associate-/r/ div-inv associate-/l* add-log-exp
3×flip3-+ flip-+
2×clear-num frac-2neg frac-add associate-/l/
1×frac-times pow1/3 pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 132
Calls
4 calls:
1.0ms
(cbrt t)
43.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
7.0ms
(/ (* y b) t)
88.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

series848.0ms

Counts
4 → 12
Calls
4 calls:
303.0ms
(cbrt t)
80.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
37.0ms
(/ (* y b) t)
428.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify2.8s

Counts
144 → 144
Iterations

Useful iterations: done (2.7s)

IterNodesCost
026357120
178653757
2319552914
done500152314

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.1b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
3.0b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
3.9b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
11.7b
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
65×times-frac
48×add-exp-log
44×associate-*r*
43×*-un-lft-identity add-cube-cbrt
34×add-cbrt-cube
25×cbrt-prod
16×prod-exp cbrt-unprod
15×cbrt-undiv div-exp
14×associate-*l*
12×unswap-sqr
8×pow1 associate-/r/
6×frac-add
5×flip3-+ flip-+ div-inv
4×frac-times associate-*l/ associate-*r/ add-log-exp
3×associate-/r* associate-/l*
2×pow-prod-down *-commutative associate-/l/
1×clear-num frac-2neg pow1/3
Counts
4 → 166
Calls
4 calls:
1.0ms
(cbrt t)
35.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
70.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
95.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series976.0ms

Counts
4 → 12
Calls
4 calls:
332.0ms
(cbrt t)
84.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
82.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
479.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify3.3s

Counts
178 → 178
Iterations

Useful iterations: done (3.3s)

IterNodesCost
032174638
198869643
2426068556
done504554396

prune1.6s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 10.1b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ a (/ y (/ t b)))
5.5b
(* (/ z t) y)
5.6b
(/ y (/ t b))
11.7b
(/ (+ x (* (/ z t) y)) (+ 1.0 (+ a (/ y (/ t b)))))

rewrite262.0ms

Algorithm
rewrite-expression-head
Rules
100×times-frac
86×*-un-lft-identity
69×add-sqr-sqrt
64×add-cube-cbrt
18×associate-/r*
16×add-cbrt-cube add-exp-log
13×associate-*l* distribute-lft-out
7×div-inv
6×pow1 associate-/l* add-log-exp
5×cbrt-undiv div-exp
3×flip3-+ associate-*r* associate-/r/ flip-+
2×clear-num frac-2neg prod-exp cbrt-unprod unswap-sqr associate-/l/
1×+-commutative sum-log pow-prod-down associate-*l/ *-commutative
Counts
4 → 153
Calls
4 calls:
25.0ms
(+ a (/ y (/ t b)))
23.0ms
(* (/ z t) y)
15.0ms
(/ y (/ t b))
194.0ms
(/ (+ x (* (/ z t) y)) (+ 1.0 (+ a (/ y (/ t b)))))

series260.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ a (/ y (/ t b)))
28.0ms
(* (/ z t) y)
31.0ms
(/ y (/ t b))
154.0ms
(/ (+ x (* (/ z t) y)) (+ 1.0 (+ a (/ y (/ t b)))))

simplify2.6s

Counts
165 → 165
Iterations

Useful iterations: done (2.5s)

IterNodesCost
028848854
173545825
2236744894
done500144733

prune1.3s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 10.1b

regimes1.2s

Accuracy

39% (2.6b remaining)

Error of 12.5b against oracle of 10.0b and baseline of 14.2b

bsearch166.0ms

Steps
ItersRangePoint
9
7.39166849954106e+38
8.03654251920096e+44
4.597803625745356e+39
9
-142.0617700113671
-3.035457021877135e-06
-15.161094208214372

simplify15.0ms

Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0331070
1471070
done471070

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s8278×body80valid