Details

Time bar (total: 7.0s)

sample22.0ms

Algorithm
intervals
Results
9.0ms345×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1169
2329
3659
41389
52279
63009
73899
84729
95669
105909
116039
done6039

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
5.9b
(/ (* y (- z t)) a)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
4.0ms
(- x (/ (* y (- z t)) a))
10.0ms
(* y (- z t))
6.0ms
(/ (* y (- z t)) a)

series133.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(- x (/ (* y (- z t)) a))
38.0ms
(* y (- z t))
48.0ms
(/ (* y (- z t)) a)

simplify443.0ms

Counts
72 → 72
Iterations

Useful iterations: done (441.0ms)

IterNodesCost
0120760
1298717
21120639
done5000627

prune161.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ (- z t) (/ a y)))
5.6b
(/ (- z t) (/ a y))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
122×times-frac
95×add-sqr-sqrt
88×*-un-lft-identity
58×add-cube-cbrt
17×difference-of-squares
15×distribute-lft-out--
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 flip3-- div-sub flip-- associate-/l/
1×sub-neg frac-2neg diff-log clear-num associate-/r/ associate--r-
Counts
2 → 118
Calls
2 calls:
33.0ms
(- x (/ (- z t) (/ a y)))
11.0ms
(/ (- z t) (/ a y))

series90.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(- x (/ (- z t) (/ a y)))
42.0ms
(/ (- z t) (/ a y))

simplify647.0ms

Counts
124 → 124
Iterations

Useful iterations: done (640.0ms)

IterNodesCost
02271984
16121846
221681774
done50001768

prune294.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
3.5b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
0.0ms
(cbrt a)
0.0ms
(cbrt a)
1.0ms
(cbrt a)
37.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series616.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt a)
178.0ms
(cbrt a)
172.0ms
(cbrt a)
91.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify779.0ms

Counts
116 → 116
Iterations

Useful iterations: done (776.0ms)

IterNodesCost
01611577
14871509
223611153
done50001147

prune327.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
3.6b
(/ y (/ a (- z t)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
112×add-sqr-sqrt
105×*-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
19×difference-of-squares
17×distribute-lft-out--
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×sub-neg diff-log
Counts
3 → 155
Calls
3 calls:
33.0ms
(- x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
10.0ms
(/ y (/ a (- z t)))

series131.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(- x (/ y (/ a (- z t))))
27.0ms
(/ a (- z t))
56.0ms
(/ y (/ a (- z t)))

simplify686.0ms

Counts
164 → 164
Iterations

Useful iterations: 2 (175.0ms)

IterNodesCost
02532379
15582224
223332144
done50002144

prune407.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes236.0ms

Accuracy

-0.2% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.5b

bsearch74.0ms

Steps
ItersRangePoint
8
2.667056467527902e-151
5.525767292787017e-148
6.939075397429748e-149
8
-1.510181967450494e-136
-7.7838102355166905e-140
-1.8095903151115152e-138

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02337
12735
22935
done2935

end0.0ms

sample601.0ms

Algorithm
intervals
Results
292.0ms10779×body80valid