Details

Time bar (total: 7.8s)

sample21.0ms

Algorithm
intervals
Results
7.0ms285×body80valid

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214
done2214

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.1b
(/ x (/ (* z (- y t)) 2.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
24×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
13×add-exp-log add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ prod-exp cbrt-unprod add-log-exp
1×flip3-- frac-2neg pow-prod-down clear-num associate-/r/ *-commutative flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 74
Calls
2 calls:
24.0ms
(* z (- y t))
14.0ms
(/ x (/ (* z (- y t)) 2.0))

series88.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* z (- y t))
49.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify43.0ms

Counts
80 → 80
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0353467
11535417
25001414
done5001414

prune157.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.3b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
243×times-frac
184×add-sqr-sqrt
157×*-un-lft-identity
112×add-cube-cbrt
62×associate-*r*
46×add-exp-log
28×add-cbrt-cube
21×div-exp distribute-lft-out-- difference-of-squares
19×associate-/r*
13×associate-*l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/l*
2×associate-/r/ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 208
Calls
2 calls:
15.0ms
(/ x (/ (- y t) 2.0))
64.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ x (/ (- y t) 2.0))
55.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify102.0ms

Counts
214 → 214
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09151676
142801508
250011501
done50011501

prune453.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.2b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
711×times-frac
405×add-sqr-sqrt *-un-lft-identity
309×add-cube-cbrt
65×associate-/l*
48×distribute-lft-out-- difference-of-squares
22×associate-/r* div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
5×associate-/r/
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 362
Calls
2 calls:
16.0ms
(/ x (/ (- y t) 2.0))
38.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series120.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ x (/ (- y t) 2.0))
81.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify63.0ms

Counts
368 → 368
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013593858
150023741
done50023741

prune970.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(* (/ (cbrt x) (/ (* (cbrt (- y t)) (cbrt (- y t))) (cbrt x))) (/ (/ (cbrt x) (/ (cbrt (- y t)) 2.0)) z))

rewrite726.0ms

Algorithm
rewrite-expression-head
Rules
1750×times-frac
1048×add-sqr-sqrt
769×*-un-lft-identity
661×add-cube-cbrt
654×cbrt-prod
523×associate-*r*
84×add-exp-log
65×associate-*l*
56×unswap-sqr
54×distribute-lft-out-- difference-of-squares
44×cbrt-undiv div-exp add-cbrt-cube
29×div-inv
20×prod-exp cbrt-unprod
6×pow1
4×associate-/r/ add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 721
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
636.0ms
(* (/ (cbrt x) (/ (* (cbrt (- y t)) (cbrt (- y t))) (cbrt x))) (/ (/ (cbrt x) (/ (cbrt (- y t)) 2.0)) z))

series648.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
182.0ms
(cbrt x)
178.0ms
(cbrt x)
110.0ms
(* (/ (cbrt x) (/ (* (cbrt (- y t)) (cbrt (- y t))) (cbrt x))) (/ (/ (cbrt x) (/ (cbrt (- y t)) 2.0)) z))

simplify130.0ms

Counts
733 → 733
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
0500114842
done500114842

prune3.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02217
12416
22616
32616
done2616

end0.0ms

sample535.0ms

Algorithm
intervals
Results
235.0ms8752×body80valid