Details

Time bar (total: 18.0s)

sample39.0ms

Algorithm
intervals
Results
15.0ms343×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2259
3589
41019
51589
62079
73899
89929
936539
done50019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
5.4b
(* (- y x) (/ z t))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
11.0ms
(+ x (* (- y x) (/ z t)))
60.0ms
(* (- y x) (/ z t))

series103.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ x (* (- y x) (/ z t)))
60.0ms
(* (- y x) (/ z t))

simplify1.0s

Counts
55 → 55
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0115669
1308631
21520581
done5000557

prune209.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
3.3b
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
30×times-frac
25×add-exp-log
24×*-un-lft-identity
22×add-cube-cbrt associate-*r*
20×cbrt-prod
18×add-cbrt-cube
9×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
100.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series833.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(cbrt t)
287.0ms
(cbrt t)
200.0ms
(cbrt t)
108.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify1.5s

Counts
106 → 106
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01511411
14761355
227731043
done5000983

prune385.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t)))
1.5b
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
115×add-sqr-sqrt
94×times-frac
89×cbrt-prod
85×add-exp-log
63×*-un-lft-identity
62×associate-*l*
51×add-cube-cbrt
41×add-cbrt-cube
36×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
23×associate-*r*
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 t)
1.0ms
(cbrt t)
78.0ms
(* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t)))
204.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

series1.5s

Counts
4 → 12
Calls
4 calls:
232.0ms
(cbrt t)
283.0ms
(cbrt t)
863.0ms
(* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t)))
106.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

simplify2.7s

Counts
201 → 201
Iterations

Useful iterations: 2 (820.0ms)

IterNodesCost
02814006
19153891
249723296
done50003296

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt (- y x)) (cbrt (- y x))))
0.6b
(cbrt (cbrt (- y x)))
1.1b
(* (/ (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (cbrt 1)) (* (/ (cbrt (cbrt (- y x))) (cbrt t)) (/ z (cbrt t))))
1.5b
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (cbrt 1)) (* (/ (cbrt (cbrt (- y x))) (cbrt t)) (/ z (cbrt t)))))

rewrite536.0ms

Algorithm
rewrite-expression-head
Rules
237×add-exp-log
116×prod-exp cbrt-unprod
105×add-cbrt-cube
74×cbrt-undiv div-exp
38×associate-*l*
35×cbrt-prod
30×times-frac
26×add-sqr-sqrt frac-times *-un-lft-identity
24×add-cube-cbrt cbrt-div associate-*r/
18×pow1
12×associate-*l/
9×pow-prod-down
7×flip3-- flip--
4×add-log-exp
2×pow1/3 associate-*r* *-commutative div-inv
1×distribute-lft-out-- difference-of-squares
Counts
4 → 204
Calls
4 calls:
15.0ms
(cbrt (* (cbrt (- y x)) (cbrt (- y x))))
5.0ms
(cbrt (cbrt (- y x)))
121.0ms
(* (/ (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (cbrt 1)) (* (/ (cbrt (cbrt (- y x))) (cbrt t)) (/ z (cbrt t))))
381.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (cbrt 1)) (* (/ (cbrt (cbrt (- y x))) (cbrt t)) (/ z (cbrt t)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt (* (cbrt (- y x)) (cbrt (- y x))))
240.0ms
(cbrt (cbrt (- y x)))
785.0ms
(* (/ (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (cbrt 1)) (* (/ (cbrt (cbrt (- y x))) (cbrt t)) (/ z (cbrt t))))
108.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (cbrt 1)) (* (/ (cbrt (cbrt (- y x))) (cbrt t)) (/ z (cbrt t)))))

simplify867.0ms

Counts
216 → 216
Iterations

Useful iterations: done (859.0ms)

IterNodesCost
04118733
112468232
done50016047

prune1.5s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes265.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01427
11727
done1727

end0.0ms

sample1.3s

Algorithm
intervals
Results
543.0ms10693×body80valid