Details

Time bar (total: 9.5s)

sample31.0ms

Algorithm
intervals
Results
10.0ms281×body80valid

simplify509.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11711
23211
35611
49011
512311
615011
717611
821911
928511
1037411
1142011
1249811
1352011
done52011

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) (- a t)))
10.5b
(/ (* y (- z t)) (- a t))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
8×add-sqr-sqrt
7×add-exp-log add-cbrt-cube
5×times-frac associate-/r*
4×add-cube-cbrt add-log-exp
2×pow1 cbrt-undiv flip3-- associate-*r/ div-exp associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 41
Calls
2 calls:
8.0ms
(+ x (/ (* y (- z t)) (- a t)))
10.0ms
(/ (* y (- z t)) (- a t))

series50.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ x (/ (* y (- z t)) (- a t)))
21.0ms
(/ (* y (- z t)) (- a t))

simplify1.7s

Counts
47 → 47
Iterations

Useful iterations: done (1.7s)

IterNodesCost
099629
1277587
2862529
33687529
done5001527

prune71.0ms

Filtered
35 candidates to 47 candidates (-34.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New44347
Fresh000
Picked011
Done000
Total44448

Merged error: 0.0b

Counts
48 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ (- a t) (- z t))))
0.0b
(/ (- a t) (- z t))
2.1b
(/ y (/ (- a t) (- z t)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
197×*-un-lft-identity
195×add-sqr-sqrt
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num associate-/l/
1×+-commutative flip3-+ div-sub sum-log flip-+ distribute-lft-out
Counts
3 → 206
Calls
3 calls:
28.0ms
(+ x (/ y (/ (- a t) (- z t))))
9.0ms
(/ (- a t) (- z t))
16.0ms
(/ y (/ (- a t) (- z t)))

series78.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ x (/ y (/ (- a t) (- z t))))
10.0ms
(/ (- a t) (- z t))
33.0ms
(/ y (/ (- a t) (- z t)))

simplify880.0ms

Counts
215 → 215
Iterations

Useful iterations: 2 (291.0ms)

IterNodesCost
02923733
16983484
223643378
done50003378

prune179.0ms

Filtered
145 candidates to 215 candidates (-48.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2132215
Fresh112
Picked101
Done011
Total2154219

Merged error: 0b

Counts
219 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ (- a t) (- z t)) y)))
0.0b
(/ (- a t) (- z t))
0.2b
(/ 1 (/ (/ (- a t) (- z t)) y))
2.1b
(/ (/ (- a t) (- z t)) y)

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
1181×times-frac
797×*-un-lft-identity
794×add-sqr-sqrt
450×add-cube-cbrt
172×distribute-lft-out-- difference-of-squares
105×associate-/r*
39×associate-/l*
35×associate-/r/
32×add-exp-log
24×div-inv
20×add-cbrt-cube
19×div-exp
18×flip3-- flip--
10×cbrt-undiv
6×add-log-exp
5×pow1
3×rec-exp frac-2neg 1-exp div-sub clear-num associate-/l/
2×distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
4 → 624
Calls
4 calls:
76.0ms
(+ x (/ 1 (/ (/ (- a t) (- z t)) y)))
9.0ms
(/ (- a t) (- z t))
30.0ms
(/ 1 (/ (/ (- a t) (- z t)) y))
14.0ms
(/ (/ (- a t) (- z t)) y)

series111.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ x (/ 1 (/ (/ (- a t) (- z t)) y)))
10.0ms
(/ (- a t) (- z t))
36.0ms
(/ 1 (/ (/ (- a t) (- z t)) y))
19.0ms
(/ (/ (- a t) (- z t)) y)

simplify2.2s

Counts
636 → 636
Iterations

Useful iterations: 2 (1.5s)

IterNodesCost
072514223
1184012578
2406011298
done500111298

prune312.0ms

Filtered
291 candidates to 636 candidates (-118.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New6360636
Fresh022
Picked011
Done011
Total6364640

Merged error: 0b

Counts
640 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- a t))))
0.0b
(/ (- z t) (- a t))
2.5b
(* y (/ (- z t) (- a t)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 113
Calls
3 calls:
3.0ms
(+ x (* y (/ (- z t) (- a t))))
8.0ms
(/ (- z t) (- a t))
14.0ms
(* y (/ (- z t) (- a t)))

series59.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ x (* y (/ (- z t) (- a t))))
10.0ms
(/ (- z t) (- a t))
17.0ms
(* y (/ (- z t) (- a t)))

simplify1.6s

Counts
122 → 122
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01621555
14221454
211231368
336101368
done50001366

prune91.0ms

Filtered
84 candidates to 122 candidates (-45.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1220122
Fresh011
Picked011
Done022
Total1224126

Merged error: 0b

Counts
126 → 4

regimes472.0ms

Accuracy

63.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02459
13159
done3159

end0.0ms

sample852.0ms

Algorithm
intervals
Results
319.0ms8728×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid

Profiling

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