Details

Time bar (total: 18.8s)

sample43.0ms

Algorithm
intervals
Results
21.0ms339×body80valid

simplify788.0ms

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

localize16.0ms

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)

rewrite75.0ms

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:
39.0ms
(* y (- z t))
13.0ms
(+ x (/ (* y (- z t)) a))
21.0ms
(/ (* y (- z t)) a)

series204.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* y (- z t))
92.0ms
(+ x (/ (* y (- z t)) a))
69.0ms
(/ (* y (- z t)) a)

simplify2.6s

Counts
70 → 70
Iterations

Useful iterations: 2 (116.0ms)

IterNodesCost
0116722
1297679
2910589
34416589
done5000589

prune181.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite102.0ms

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)
94.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series938.0ms

Counts
4 → 12
Calls
4 calls:
262.0ms
(cbrt a)
255.0ms
(cbrt a)
306.0ms
(cbrt a)
114.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify1.4s

Counts
116 → 116
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01611577
14591499
219841153
done50001056

prune470.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

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))))

rewrite264.0ms

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:
2.0ms
(cbrt a)
2.0ms
(cbrt a)
112.0ms
(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))
131.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

series1.1s

Counts
4 → 12
Calls
4 calls:
336.0ms
(cbrt a)
269.0ms
(cbrt a)
370.0ms
(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))
105.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

simplify2.3s

Counts
201 → 201
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02873776
18333615
234002868
done50002664

prune1000.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
1.0b
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ 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)))

rewrite694.0ms

Algorithm
rewrite-expression-head
Rules
688×add-exp-log
382×prod-exp
220×div-exp
168×add-cbrt-cube
164×cbrt-unprod
149×add-sqr-sqrt
139×cbrt-prod
122×times-frac
102×cbrt-undiv
75×*-un-lft-identity
68×associate-*l*
63×add-cube-cbrt
35×associate-*r*
30×rec-exp 1-exp
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 → 348
Calls
4 calls:
2.0ms
(cbrt a)
2.0ms
(cbrt a)
498.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ 1 (* (cbrt (cbrt a)) (cbrt (cbrt a)))) (* (/ (cbrt y) (cbrt (cbrt a))) (/ (- z t) (cbrt a)))))
134.0ms
(* (/ (cbrt y) (cbrt (cbrt a))) (/ (- z t) (cbrt a)))

series1.4s

Counts
4 → 12
Calls
4 calls:
280.0ms
(cbrt a)
335.0ms
(cbrt a)
101.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ 1 (* (cbrt (cbrt a)) (cbrt (cbrt a)))) (* (/ (cbrt y) (cbrt (cbrt a))) (/ (- z t) (cbrt a)))))
658.0ms
(* (/ (cbrt y) (cbrt (cbrt a))) (/ (- z t) (cbrt a)))

simplify1.1s

Counts
360 → 360
Iterations

Useful iterations: done (1.1s)

IterNodesCost
052311503
1141610442
done50007813

prune1.8s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes801.0ms

Accuracy

78.4% (0.5b remaining)

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

bsearch3.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01843
12435
done2435

end0.0ms

sample1.5s

Algorithm
intervals
Results
586.0ms10609×body80valid