Details

Time bar (total: 17.6s)

sample33.0ms

Algorithm
intervals
Results
14.0ms339×body80valid

simplify590.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1159
2269
3469
4859
51149
61299
71429
81759
92329
102619
112989
123299
133399
done3399

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) a))
8.0b
(/ (* y (- z t)) a)

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
35.0ms
(* y (- z t))
16.0ms
(+ x (/ (* y (- z t)) a))
33.0ms
(/ (* y (- z t)) a)

series228.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(* y (- z t))
84.0ms
(+ x (/ (* y (- z t)) a))
85.0ms
(/ (* y (- z t)) a)

simplify2.4s

Counts
70 → 70
Iterations

Useful iterations: 2 (180.0ms)

IterNodesCost
0116722
1297679
2910589
34416589
done5000589

prune161.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
6.5b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
85.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series846.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(cbrt a)
239.0ms
(cbrt a)
295.0ms
(cbrt a)
103.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify1.2s

Counts
116 → 116
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01611577
14591499
219841153
done50001056

prune393.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.8b
(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))
1.0b
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
115×add-sqr-sqrt
94×times-frac
85×add-exp-log
77×cbrt-prod
63×*-un-lft-identity
51×add-cube-cbrt
50×associate-*l*
41×add-cbrt-cube
36×prod-exp cbrt-unprod
35×associate-*r*
26×cbrt-undiv div-exp
15×unswap-sqr
11×pow1
6×frac-times associate-*r/ distribute-lft-out-- difference-of-squares
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 189
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
82.0ms
(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))
122.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

series959.0ms

Counts
4 → 12
Calls
4 calls:
299.0ms
(cbrt a)
214.0ms
(cbrt a)
373.0ms
(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))
74.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

simplify2.4s

Counts
201 → 201
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02873776
18333615
234002868
done50002664

prune1000.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
1.0b
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt 1) (* (cbrt (cbrt a)) (cbrt (cbrt a)))) (* (/ (cbrt y) (cbrt (cbrt a))) (/ (- z t) (cbrt a)))))
1.0b
(* (/ (cbrt y) (cbrt (cbrt a))) (/ (- z t) (cbrt a)))

rewrite505.0ms

Algorithm
rewrite-expression-head
Rules
322×add-exp-log
164×prod-exp cbrt-unprod
149×add-sqr-sqrt
139×cbrt-prod
138×add-cbrt-cube
122×times-frac
102×cbrt-undiv div-exp
75×*-un-lft-identity
68×associate-*l*
63×add-cube-cbrt
35×associate-*r*
21×unswap-sqr
18×frac-times associate-*r/
15×pow1
8×associate-*l/
7×pow-prod-down
6×distribute-lft-out-- difference-of-squares
4×add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 288
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
372.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt 1) (* (cbrt (cbrt a)) (cbrt (cbrt a)))) (* (/ (cbrt y) (cbrt (cbrt a))) (/ (- z t) (cbrt a)))))
108.0ms
(* (/ (cbrt y) (cbrt (cbrt a))) (/ (- z t) (cbrt a)))

series1.3s

Counts
4 → 12
Calls
4 calls:
263.0ms
(cbrt a)
290.0ms
(cbrt a)
76.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt 1) (* (cbrt (cbrt a)) (cbrt (cbrt a)))) (* (/ (cbrt y) (cbrt (cbrt a))) (/ (- z t) (cbrt a)))))
682.0ms
(* (/ (cbrt y) (cbrt (cbrt a))) (/ (- z t) (cbrt a)))

simplify1.2s

Counts
300 → 300
Iterations

Useful iterations: done (1.2s)

IterNodesCost
04379268
113258598
done50006173

prune1.8s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes634.0ms

Accuracy

78.4% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.4b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01843
12435
done2435

end0.0ms

sample1.4s

Algorithm
intervals
Results
643.0ms10609×body80valid