Details

Time bar (total: 17.1s)

sample33.0ms

Algorithm
intervals
Results
14.0ms344×body80valid

simplify535.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2329
3699
41379
51879
62319
72499
82999
93259
103319
done3319

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
7.6b
(/ (* y (- z t)) a)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-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×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
9.0ms
(- x (/ (* y (- z t)) a))
31.0ms
(* y (- z t))
23.0ms
(/ (* y (- z t)) a)

series193.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(- x (/ (* y (- z t)) a))
56.0ms
(* y (- z t))
66.0ms
(/ (* y (- z t)) a)

simplify2.7s

Counts
72 → 72
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0120760
1291717
2874639
34258627
done5000627

prune216.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
4.3b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite76.0ms

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)
68.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series812.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(cbrt a)
247.0ms
(cbrt a)
224.0ms
(cbrt a)
114.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify1.3s

Counts
116 → 116
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01611577
14591499
219841153
done50001056

prune349.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite180.0ms

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 y)
1.0ms
(cbrt y)
92.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))
75.0ms
(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))

series958.0ms

Counts
4 → 12
Calls
4 calls:
326.0ms
(cbrt y)
286.0ms
(cbrt y)
62.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))
284.0ms
(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))

simplify2.2s

Counts
201 → 201
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02893776
18353623
232552922
done50012718

prune897.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))
2.3b
(cbrt (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))
2.3b
(cbrt (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))
2.3b
(cbrt (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
110×add-sqr-sqrt
88×times-frac
71×cbrt-prod
58×*-un-lft-identity
46×add-cube-cbrt
40×associate-*l*
34×associate-*r*
16×add-exp-log
15×unswap-sqr
10×add-cbrt-cube
9×cbrt-div
6×pow1 distribute-lft-out-- difference-of-squares
4×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 145
Calls
4 calls:
95.0ms
(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))
31.0ms
(cbrt (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))
31.0ms
(cbrt (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))
23.0ms
(cbrt (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

series1.2s

Counts
4 → 12
Calls
4 calls:
306.0ms
(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))
288.0ms
(cbrt (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))
306.0ms
(cbrt (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))
280.0ms
(cbrt (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

simplify1.4s

Counts
157 → 157
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02442770
16542668
220122498
done50012432

prune1.2s

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes690.0ms

Accuracy

86.4% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.6b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02345
12545
done2545

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s10683×body80valid