Details

Time bar (total: 19.6s)

sample28.0ms

Algorithm
intervals
Results
11.0ms269×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
8.5b
(/ (* y (- z t)) (- a t))

rewrite82.0ms

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:
36.0ms
(* y (- z t))
44.0ms
(/ (* y (- z t)) (- a t))

series149.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* y (- z t))
108.0ms
(/ (* y (- z t)) (- a t))

simplify863.0ms

Counts
61 → 61
Iterations

Useful iterations: done (862.0ms)

IterNodesCost
0105599
1280575
21111509
done5001501

prune197.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite103.0ms

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:
52.0ms
(/ (- a t) (- z t))
28.0ms
(/ y (/ (- a t) (- z t)))

series278.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ (- a t) (- z t))
215.0ms
(/ y (/ (- a t) (- z t)))

simplify1.6s

Counts
200 → 200
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02703488
17323308
238013172
done50003166

prune658.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
7.6b
(/ (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt (- a t)) (- z t)))

rewrite292.0ms

Algorithm
rewrite-expression-head
Rules
1471×times-frac
827×add-sqr-sqrt *-un-lft-identity
570×cbrt-div
415×cbrt-prod
409×associate-/r/
405×add-cube-cbrt
301×flip3-- flip--
211×distribute-lft-out-- difference-of-squares
188×frac-times
94×associate-*r/ associate-*l/
64×div-inv
46×associate-/r*
25×add-exp-log
18×add-cbrt-cube
15×associate-/l*
13×cbrt-undiv div-exp
4×pow1 add-log-exp
3×pow1/3
2×prod-exp cbrt-unprod
1×frac-2neg clear-num associate-/l/
Counts
4 → 820
Calls
4 calls:
8.0ms
(cbrt (- a t))
8.0ms
(cbrt (- a t))
9.0ms
(cbrt (- a t))
121.0ms
(/ (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt (- a t)) (- z t)))

series769.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt (- a t))
175.0ms
(cbrt (- a t))
183.0ms
(cbrt (- a t))
238.0ms
(/ (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt (- a t)) (- z t)))

simplify3.0s

Counts
832 → 832
Iterations

Useful iterations: done (2.9s)

IterNodesCost
0109034154
1393432570
done500031825

prune3.7s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
1.0b
(/ 1 (/ (/ (- a t) (- z t)) y))
2.1b
(/ (/ (- a t) (- z t)) y)

rewrite229.0ms

Algorithm
rewrite-expression-head
Rules
1181×times-frac
793×add-sqr-sqrt *-un-lft-identity
449×add-cube-cbrt
172×distribute-lft-out-- difference-of-squares
105×associate-/r*
39×associate-/l*
35×associate-/r/
31×add-exp-log
23×div-inv
19×div-exp add-cbrt-cube
18×flip3-- flip--
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp div-sub clear-num associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
3 → 611
Calls
3 calls:
23.0ms
(/ (- a t) (- z t))
66.0ms
(/ 1 (/ (/ (- a t) (- z t)) y))
64.0ms
(/ (/ (- a t) (- z t)) y)

series885.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(/ (- a t) (- z t))
707.0ms
(/ 1 (/ (/ (- a t) (- z t)) y))
110.0ms
(/ (/ (- a t) (- z t)) y)

simplify1.8s

Counts
620 → 620
Iterations

Useful iterations: done (1.8s)

IterNodesCost
070313927
1202912317
done500111847

prune1.6s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes247.0ms

Accuracy

81% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.3b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01957
12647
done2647

end0.0ms

sample1.2s

Algorithm
intervals
Results
529.0ms8677×body80valid
0.0ms2×body160valid