Details

Time bar (total: 12.7s)

sample48.0ms

Algorithm
intervals
Results
20.0ms358×body80valid

simplify54.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2339
3459
4639
5679
done679

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 42
Calls
2 calls:
8.0ms
(- (* x y) (* z t))
23.0ms
(/ (- (* x y) (* z t)) a)

series138.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(- (* x y) (* z t))
82.0ms
(/ (- (* x y) (* z t)) a)

simplify1.8s

Counts
48 → 48
Iterations

Useful iterations: 2 (128.0ms)

IterNodesCost
080652
1205632
2638582
32177582
done5001582

prune171.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
3.6b
(/ (* x y) a)
5.0b
(/ (* t z) a)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
9×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×times-frac associate-/r*
5×add-log-exp
4×cbrt-undiv div-exp div-inv
3×pow1
2×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
1×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 59
Calls
3 calls:
22.0ms
(- (/ (* x y) a) (/ (* t z) a))
28.0ms
(/ (* x y) a)
17.0ms
(/ (* t z) a)

series184.0ms

Counts
3 → 9
Calls
3 calls:
121.0ms
(- (/ (* x y) a) (/ (* t z) a))
38.0ms
(/ (* x y) a)
24.0ms
(/ (* t z) a)

simplify2.8s

Counts
68 → 68
Iterations

Useful iterations: 2 (123.0ms)

IterNodesCost
0111699
1274658
2962594
34703594
done5000594

prune191.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (/ a y)) (/ (* t z) a))
3.3b
(/ x (/ a y))
5.0b
(/ (* t z) a)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
56×add-sqr-sqrt
49×*-un-lft-identity
47×add-cube-cbrt
16×associate-/r*
13×add-exp-log add-cbrt-cube
6×div-inv
5×cbrt-undiv div-exp add-log-exp
4×associate-/l*
3×pow1 difference-of-squares
2×frac-2neg clear-num
1×sub-neg flip3-- diff-log prod-exp associate-/r/ frac-sub flip-- cbrt-unprod distribute-lft-out--
Counts
3 → 108
Calls
3 calls:
58.0ms
(- (/ x (/ a y)) (/ (* t z) a))
9.0ms
(/ x (/ a y))
11.0ms
(/ (* t z) a)

series115.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(- (/ x (/ a y)) (/ (* t z) a))
26.0ms
(/ x (/ a y))
27.0ms
(/ (* t z) a)

simplify1.2s

Counts
117 → 117
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02201429
14851328
215451256
done50001254

prune351.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
3.3b
(/ x (/ a y))
4.2b
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
103×times-frac
79×add-sqr-sqrt
63×add-cube-cbrt *-un-lft-identity
30×add-exp-log
23×add-cbrt-cube
22×associate-*r*
17×cbrt-prod
13×associate-/r*
10×cbrt-undiv div-exp
8×prod-exp cbrt-unprod
7×associate-*l* div-inv
6×pow1 unswap-sqr
4×add-log-exp
3×associate-/l*
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r/ *-commutative
Counts
4 → 151
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
15.0ms
(/ x (/ a y))
83.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))

series682.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt a)
322.0ms
(cbrt a)
23.0ms
(/ x (/ a y))
72.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))

simplify1.5s

Counts
163 → 163
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02822028
16991909
226771561
done50001473

prune624.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes542.0ms

Accuracy

89.5% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 7.6b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02567
13450
done3450

end0.0ms

sample1.9s

Algorithm
intervals
Results
596.0ms11318×body80valid