Details

Time bar (total: 15.3s)

sample55.0ms

Algorithm
intervals
Results
20.0ms281×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11711
23211
35711
410411
516411
621711
729011
844211
977611
10227011
done500011

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
9.8b
(/ (* y (- z t)) (- a t))

rewrite58.0ms

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:
21.0ms
(* y (- z t))
35.0ms
(/ (* y (- z t)) (- a t))

series124.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* y (- z t))
85.0ms
(/ (* y (- z t)) (- a t))

simplify767.0ms

Counts
61 → 61
Iterations

Useful iterations: done (765.0ms)

IterNodesCost
0105599
1280575
21111509
done5001501

prune276.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a t) (- z t))
2.3b
(/ y (/ (- a t) (- z t)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
43.0ms
(/ (- a t) (- z t))
38.0ms
(/ y (/ (- a t) (- z t)))

series278.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ (- a t) (- z t))
210.0ms
(/ y (/ (- a t) (- z t)))

simplify1.7s

Counts
200 → 200
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02703488
17323308
238013172
done50003166

prune918.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.7b
(/ y (/ (- a t) (cbrt (- z t))))
5.4b
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- a t) (cbrt (- z t)))))

rewrite675.0ms

Algorithm
rewrite-expression-head
Rules
561×times-frac
428×add-sqr-sqrt
419×*-un-lft-identity
233×add-cube-cbrt
186×cbrt-prod
143×associate-*r*
93×distribute-lft-out-- difference-of-squares
46×associate-/r*
42×cbrt-div
30×add-exp-log
21×flip3-- add-cbrt-cube flip--
16×frac-times associate-/r/
12×associate-*l/
9×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod div-inv
5×associate-*r/
4×add-log-exp unswap-sqr
3×pow-prod-down associate-/l*
2×pow1/3
1×frac-2neg associate-*l* clear-num *-commutative
Counts
4 → 419
Calls
4 calls:
7.0ms
(cbrt (- z t))
8.0ms
(cbrt (- z t))
54.0ms
(/ y (/ (- a t) (cbrt (- z t))))
540.0ms
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- a t) (cbrt (- z t)))))

series750.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt (- z t))
193.0ms
(cbrt (- z t))
267.0ms
(/ y (/ (- a t) (cbrt (- z t))))
108.0ms
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- a t) (cbrt (- z t)))))

simplify1.5s

Counts
431 → 431
Iterations

Useful iterations: done (1.5s)

IterNodesCost
05539522
118718999
done50008566

prune2.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.4b
(* y (/ (- z t) (- a t)))

rewrite104.0ms

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:
24.0ms
(/ (- z t) (- a t))
74.0ms
(* y (/ (- z t) (- a t)))

series174.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ (- z t) (- a t))
101.0ms
(* y (/ (- z t) (- a t)))

simplify853.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (233.0ms)

IterNodesCost
01381319
13741259
215211169
done50001169

prune589.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes570.0ms

Accuracy

90.9% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.2b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01957
12647
done2647

end0.0ms

sample1.2s

Algorithm
intervals
Results
506.0ms8746×body80valid
0.0ms1×body320valid
0.0ms1×body640valid