Details

Time bar (total: 17.3s)

sample50.0ms

Algorithm
intervals
Results
20.0ms263×body80valid

simplify38.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01517
12617
23817
34717
44917
done4917

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
4.6b
(/ (* y b) t)
4.7b
(/ (* y z) t)
11.9b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite117.0ms

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-exp-log add-cbrt-cube
11×associate-/r*
6×associate-/l* add-log-exp
5×cbrt-undiv div-exp
4×pow1 flip3-+ associate-/r/ flip-+
3×frac-2neg clear-num div-inv
2×frac-add prod-exp cbrt-unprod associate-/l/
1×+-commutative sum-log
Counts
4 → 101
Calls
4 calls:
14.0ms
(+ x (/ (* y z) t))
12.0ms
(/ (* y b) t)
10.0ms
(/ (* y z) t)
77.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series230.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ x (/ (* y z) t))
28.0ms
(/ (* y b) t)
30.0ms
(/ (* y z) t)
132.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.3s

Counts
113 → 113
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01791803
14761721
222291609
done50011599

prune592.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 11.4b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
3.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
4.6b
(/ (* y b) t)
11.9b
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite167.0ms

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×frac-2neg frac-add clear-num associate-/l/
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 132
Calls
4 calls:
1.0ms
(cbrt t)
61.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
19.0ms
(/ (* y b) t)
78.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

series680.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(cbrt t)
62.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
21.0ms
(/ (* y b) t)
342.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify2.3s

Counts
144 → 144
Iterations

Useful iterations: 2 (554.0ms)

IterNodesCost
02632807
17932708
247802236
done50002236

prune988.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 10.6b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
3.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
5.5b
(/ y (/ t b))
11.9b
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ y (/ t b))))

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
118×times-frac
92×*-un-lft-identity
88×add-sqr-sqrt
72×add-cube-cbrt
32×add-exp-log
25×add-cbrt-cube
22×associate-*r*
18×associate-/r*
14×cbrt-prod
12×distribute-lft-out
11×cbrt-undiv div-exp
8×prod-exp cbrt-unprod div-inv
7×associate-*l*
6×pow1 associate-/l* unswap-sqr
5×associate-/r/
4×add-log-exp
3×flip3-+ flip-+
2×frac-2neg frac-add clear-num associate-/l/
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 181
Calls
4 calls:
1.0ms
(cbrt t)
58.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
9.0ms
(/ y (/ t b))
152.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ y (/ t b))))

series748.0ms

Counts
4 → 12
Calls
4 calls:
249.0ms
(cbrt t)
82.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
27.0ms
(/ y (/ t b))
389.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ y (/ t b))))

simplify695.0ms

Counts
193 → 193
Iterations

Useful iterations: done (689.0ms)

IterNodesCost
03633501
110503358
done50003092

prune1.4s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 10.1b

localize35.0ms

Local error

Found 4 expressions with local error:

1.5b
(/ y (/ t (cbrt b)))
3.0b
(* (* (cbrt b) (cbrt b)) (/ y (/ t (cbrt b))))
3.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
11.9b
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (* (cbrt b) (cbrt b)) (/ y (/ t (cbrt b))))))

rewrite263.0ms

Algorithm
rewrite-expression-head
Rules
300×times-frac
189×add-sqr-sqrt
164×add-cube-cbrt *-un-lft-identity
93×associate-*r*
75×cbrt-prod
53×add-exp-log
37×add-cbrt-cube
25×associate-/r*
17×cbrt-undiv div-exp prod-exp cbrt-unprod
12×div-inv
11×pow1
10×unswap-sqr
8×associate-*l*
6×associate-/r/ associate-/l*
4×associate-*r/ pow-prod-down add-log-exp
3×flip3-+ flip-+
2×frac-2neg frac-add clear-num *-commutative associate-/l/
1×frac-times associate-*l/
Counts
4 → 297
Calls
4 calls:
12.0ms
(/ y (/ t (cbrt b)))
90.0ms
(* (* (cbrt b) (cbrt b)) (/ y (/ t (cbrt b))))
58.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
84.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (* (cbrt b) (cbrt b)) (/ y (/ t (cbrt b))))))

series667.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(/ y (/ t (cbrt b)))
47.0ms
(* (* (cbrt b) (cbrt b)) (/ y (/ t (cbrt b))))
59.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
470.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (* (cbrt b) (cbrt b)) (/ y (/ t (cbrt b))))))

simplify1.0s

Counts
309 → 309
Iterations

Useful iterations: done (1.0s)

IterNodesCost
05205883
117585612
done50005150

prune2.6s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 10.1b

regimes1.2s

Accuracy

32.9% (3.5b remaining)

Error of 13.4b against oracle of 9.8b and baseline of 15.1b

bsearch166.0ms

Steps
ItersRangePoint
10
1.6001572721441916e+80
1.2722401864898751e+92
7.380483246040221e+87
8
-2.7563767937636476e+46
-2.7821416304324292e+42
-8.122733389623929e+43

simplify9.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03994
15394
done5394

end0.0ms

sample1.7s

Algorithm
intervals
Results
956.0ms8279×body80valid