Details

Time bar (total: 12.6s)

sample38.0ms

Algorithm
intervals
Results
17.0ms287×body80valid

simplify235.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010205
120165
246165
388165
4138165
5192165
6242165
7271165
8281165
done281165

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.9b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
2.9b
(/ (* x 2.0) (* z (- y t)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity prod-diff
16×add-cbrt-cube add-exp-log add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp associate-*r/
3×associate-*l*
2×expm1-log1p-u sub-neg flip3-- associate-/r/ log1p-expm1-u flip-- add-log-exp
1×clear-num associate-/r* frac-2neg times-frac pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
19.0ms
(* z (- y t))
14.0ms
(/ (* x 2.0) (* z (- y t)))

series140.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* z (- y t))
79.0ms
(/ (* x 2.0) (* z (- y t)))

simplify1.3s

Counts
77 → 77
Iterations

Useful iterations: done (1.3s)

IterNodesCost
014520967
137118109
2200714345
done500013945

prune339.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.9b
(/ (* x 2.0) (+ (* z (- (* (* (cbrt y) (cbrt y)) (cbrt y)) t)) (* (fma t -1 t) z)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×associate-/r* times-frac pow1/3
2×cbrt-undiv div-exp associate-/r/
1×clear-num frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ div-inv associate-/l*
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
86.0ms
(/ (* x 2.0) (+ (* z (- (* (* (cbrt y) (cbrt y)) (cbrt y)) t)) (* (fma t -1 t) z)))

series1.6s

Counts
4 → 12
Calls
4 calls:
239.0ms
(cbrt y)
276.0ms
(cbrt y)
254.0ms
(cbrt y)
782.0ms
(/ (* x 2.0) (+ (* z (- (* (* (cbrt y) (cbrt y)) (cbrt y)) t)) (* (fma t -1 t) z)))

simplify1.5s

Counts
76 → 76
Iterations

Useful iterations: done (1.5s)

IterNodesCost
09123197
124021018
2111120436
done500015636

prune498.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.6b
(/ 1 (/ (* z (- y t)) (* x 2.0)))
2.7b
(/ (* z (- y t)) (* x 2.0))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
35×add-cbrt-cube
31×add-sqr-sqrt
29×*-un-lft-identity
27×add-cube-cbrt
26×div-exp
20×times-frac
18×prod-diff
17×prod-exp
13×cbrt-undiv
11×distribute-rgt-in distribute-lft-in
9×cbrt-unprod
6×pow1 associate-/r* div-inv
5×rec-exp 1-exp associate-*r*
4×associate-*r/ associate-/l*
3×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×clear-num sub-neg frac-2neg flip3-- flip-- associate-/l/
1×pow-prod-down associate-/r/ *-commutative pow-flip distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 129
Calls
3 calls:
22.0ms
(* z (- y t))
22.0ms
(/ 1 (/ (* z (- y t)) (* x 2.0)))
27.0ms
(/ (* z (- y t)) (* x 2.0))

series255.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* z (- y t))
121.0ms
(/ 1 (/ (* z (- y t)) (* x 2.0)))
91.0ms
(/ (* z (- y t)) (* x 2.0))

simplify1.7s

Counts
138 → 138
Iterations

Useful iterations: 2 (743.0ms)

IterNodesCost
022341744
160034354
2309230270
done500130270

prune585.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.6b
(/ 1 (* z (- y t)))
3.3b
(/ (/ 1 (* z (- y t))) (/ 1 (* x 2.0)))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
184×add-exp-log
120×times-frac
109×div-exp
59×add-sqr-sqrt
57×*-un-lft-identity
55×add-cube-cbrt
46×add-cbrt-cube prod-exp
30×rec-exp 1-exp
23×cbrt-undiv
20×associate-*r/ div-inv
19×associate-/r/
18×prod-diff
12×associate-/l*
11×distribute-rgt-in distribute-lft-in
10×flip3-- flip--
8×pow1 associate-/r* cbrt-unprod
5×associate-*r*
3×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×clear-num sub-neg frac-2neg pow-prod-down pow-flip
1×*-commutative distribute-lft-out-- inv-pow difference-of-squares unswap-sqr associate-/l/
Counts
3 → 229
Calls
3 calls:
31.0ms
(* z (- y t))
15.0ms
(/ 1 (* z (- y t)))
63.0ms
(/ (/ 1 (* z (- y t))) (/ 1 (* x 2.0)))

series202.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* z (- y t))
44.0ms
(/ 1 (* z (- y t)))
116.0ms
(/ (/ 1 (* z (- y t))) (/ 1 (* x 2.0)))

simplify1.4s

Counts
238 → 238
Iterations

Useful iterations: done (1.4s)

IterNodesCost
035891890
1111171341
done500059016

prune901.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes528.0ms

Accuracy

0% (5.8b remaining)

Error of 5.8b against oracle of 0.0b and baseline of 5.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09165
111165
done11165

end0.0ms

sample893.0ms

Algorithm
intervals
Results
477.0ms8727×body80valid