Details

Time bar (total: 7.8s)

sample19.0ms

Algorithm
intervals
Results
8.0ms275×body80valid

simplify788.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11711
23211
35711
49111
513111
616411
719011
824411
931611
1041611
1156011
1264211
1364811
done64811

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
11.4b
(/ (* y (- z t)) (- a t))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
10.0ms
(* y (- z t))
9.0ms
(/ (* y (- z t)) (- a t))

series98.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* y (- z t))
64.0ms
(/ (* y (- z t)) (- a t))

simplify409.0ms

Counts
61 → 61
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
0105599
1270575
21134501
done5000501

prune132.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.6b
(* y (/ (- z t) (- a t)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
10.0ms
(/ (- z t) (- a t))
26.0ms
(* y (/ (- z t) (- a t)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- z t) (- a t))
64.0ms
(* y (/ (- z t) (- a t)))

simplify679.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (280.0ms)

IterNodesCost
01381319
13521247
212991165
done50001165

prune214.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
0.6b
(* (cbrt (- a t)) (cbrt (- a t)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
4.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
19.0ms
(* (cbrt (- a t)) (cbrt (- a t)))

series540.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (- z t))
139.0ms
(cbrt (- z t))
141.0ms
(cbrt (- z t))
118.0ms
(* (cbrt (- a t)) (cbrt (- a t)))

simplify2.3s

Counts
113 → 113
Iterations

Useful iterations: 3 (570.0ms)

IterNodesCost
01621384
13171293
210631223
340021128
done50001128

prune376.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
1.6b
(* y (* (- z t) (/ 1 (- a t))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
6.0ms
(/ 1 (- a t))
23.0ms
(* (- z t) (/ 1 (- a t)))
27.0ms
(* y (* (- z t) (/ 1 (- a t))))

series148.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (- a t))
49.0ms
(* (- z t) (/ 1 (- a t)))
66.0ms
(* y (* (- z t) (/ 1 (- a t))))

simplify825.0ms

Counts
128 → 128
Iterations

Useful iterations: 2 (128.0ms)

IterNodesCost
01581456
13871229
215241025
done50001025

prune220.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes167.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01633
11933
done1933

end0.0ms

sample521.0ms

Algorithm
intervals
Results
264.0ms8721×body80valid
4.0ms1×body2560valid