Details

Time bar (total: 12.2s)

sample43.0ms

Algorithm
intervals
Results
17.0ms323×body80valid

simplify697.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1159
2269
3469
4859
51149
61299
71429
81759
92329
102619
112989
123299
133399
done3399

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
7.9b
(/ (* y (- z t)) a)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
24.0ms
(* y (- z t))
16.0ms
(/ (* y (- z t)) a)

series126.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* y (- z t))
78.0ms
(/ (* y (- z t)) a)

simplify1.9s

Counts
55 → 55
Iterations

Useful iterations: 2 (113.0ms)

IterNodesCost
094493
1231473
2711399
33396399
done5001399

prune140.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
4.6b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite93.0ms

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)
1.0ms
(cbrt a)
83.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series865.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(cbrt a)
266.0ms
(cbrt a)
246.0ms
(cbrt a)
98.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify1.2s

Counts
116 → 116
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01611577
14591499
219841153
done50001056

prune447.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (- z t))
5.7b
(/ y (/ a (- z t)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
18.0ms
(/ a (- z t))
34.0ms
(/ y (/ a (- z t)))

series137.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ a (- z t))
84.0ms
(/ y (/ a (- z t)))

simplify1.4s

Counts
145 → 145
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02232062
14681930
216151854
done50001836

prune497.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

5.2b
(* (/ y a) (- z t))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 42
Calls
1 calls:
35.0ms
(* (/ y a) (- z t))

series71.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(* (/ y a) (- z t))

simplify2.1s

Counts
45 → 45
Iterations

Useful iterations: 2 (161.0ms)

IterNodesCost
099475
1253466
2802410
32730410
done5002410

prune158.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes321.0ms

Accuracy

79.4% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.5b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02045
12937
done2937

end0.0ms

sample1.7s

Algorithm
intervals
Results
990.0ms10654×body80valid