Details

Time bar (total: 10.9s)

sample39.0ms

Algorithm
intervals
Results
15.0ms331×body80valid

simplify801.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2329
3699
41629
53759
613749
done50019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(- x (/ (* y (- z t)) a))
6.2b
(/ (* y (- z t)) a)

rewrite54.0ms

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:
22.0ms
(* y (- z t))
13.0ms
(- x (/ (* y (- z t)) a))
17.0ms
(/ (* y (- z t)) a)

series181.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* y (- z t))
66.0ms
(- x (/ (* y (- z t)) a))
68.0ms
(/ (* y (- z t)) a)

simplify955.0ms

Counts
72 → 72
Iterations

Useful iterations: done (953.0ms)

IterNodesCost
0120760
1311717
21158657
done5000633

prune197.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
4.9b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite100.0ms

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:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
2.0ms
(cbrt a)
88.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series877.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(cbrt a)
264.0ms
(cbrt a)
243.0ms
(cbrt a)
128.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify2.2s

Counts
116 → 116
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01611577
15171511
234511161
done50001080

prune393.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

6.2b
(/ (* y (- z t)) a)
8.9b
(cbrt (/ (* y (- z t)) a))
8.9b
(cbrt (/ (* y (- z t)) a))
8.9b
(cbrt (/ (* y (- z t)) a))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×add-exp-log add-cbrt-cube
4×pow1 div-inv add-log-exp
3×cbrt-div pow1/3 associate-/r*
2×cbrt-undiv associate-*r/ div-exp associate-/l/
1×flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod associate-/l*
Counts
4 → 71
Calls
4 calls:
22.0ms
(/ (* y (- z t)) a)
7.0ms
(cbrt (/ (* y (- z t)) a))
6.0ms
(cbrt (/ (* y (- z t)) a))
8.0ms
(cbrt (/ (* y (- z t)) a))

series469.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(/ (* y (- z t)) a)
131.0ms
(cbrt (/ (* y (- z t)) a))
138.0ms
(cbrt (/ (* y (- z t)) a))
126.0ms
(cbrt (/ (* y (- z t)) a))

simplify637.0ms

Counts
83 → 83
Iterations

Useful iterations: done (634.0ms)

IterNodesCost
01091029
12581002
21016910
done5001873

prune385.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ a (- z t))
0.0b
(- x (/ y (/ a (- z t))))
9.4b
(/ y (/ a (- z t)))

rewrite113.0ms

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:
19.0ms
(/ a (- z t))
55.0ms
(- x (/ y (/ a (- z t))))
30.0ms
(/ y (/ a (- z t)))

series153.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ a (- z t))
57.0ms
(- x (/ y (/ a (- z t))))
62.0ms
(/ y (/ a (- z t)))

simplify1.2s

Counts
164 → 164
Iterations

Useful iterations: 2 (321.0ms)

IterNodesCost
02532379
16342246
228972144
done50012144

prune488.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes422.0ms

Accuracy

67.1% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.4b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02143
12343
done2343

end0.0ms

sample1.1s

Algorithm
intervals
Results
438.0ms10620×body80valid