Details

Time bar (total: 22.0s)

sample30.0ms

Algorithm
intervals
Results
11.0ms326×body80valid

simplify6.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2319
3579
4899
51149
61339
71549
81909
92459
102739
113009
123419
133549
143709
153869
164739
175649
188129
1911389
2015689
2116519
2216569
done16569

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite64.0ms

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:
62.0ms
(* (/ x y) (- z t))

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(* (/ x y) (- z t))

simplify2.3s

Counts
45 → 45
Iterations

Useful iterations: 2 (152.0ms)

IterNodesCost
099475
1254466
2800410
32720410
done5000410

prune152.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
11.1b
(cbrt (/ x y))
11.1b
(cbrt (/ x y))
11.1b
(cbrt (/ x y))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod cbrt-div
29×frac-times
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×associate-*r/
16×pow1 add-exp-log
13×associate-*l/
10×add-cbrt-cube
8×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp flip-- cbrt-unprod
4×sub-neg add-log-exp
3×pow1/3 div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 119
Calls
4 calls:
118.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series330.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
90.0ms
(cbrt (/ x y))
83.0ms
(cbrt (/ x y))
89.0ms
(cbrt (/ x y))

simplify3.4s

Counts
131 → 131
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01782113
14662053
213971615
349141427
done50001421

prune483.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

11.1b
(cbrt (/ x y))
11.1b
(cbrt (/ x y))
11.1b
(cbrt (/ x y))
11.1b
(cbrt (/ x y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-prod
36×times-frac
32×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log cbrt-div pow1/3 add-cbrt-cube div-inv add-log-exp
Counts
4 → 88
Calls
4 calls:
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))
5.0ms
(cbrt (/ x y))

series307.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(cbrt (/ x y))
70.0ms
(cbrt (/ x y))
82.0ms
(cbrt (/ x y))
87.0ms
(cbrt (/ x y))

simplify2.8s

Counts
100 → 100
Iterations

Useful iterations: done (2.8s)

IterNodesCost
076948
1111908
2197868
3399844
4821808
51872772
done5001724

prune468.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.6b
(* (/ (cbrt x) y) (- z t))
3.8b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
32×add-sqr-sqrt
29×associate-*l*
24×*-un-lft-identity
23×times-frac
22×add-cube-cbrt
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×pow1 frac-times associate-*r/
10×cbrt-undiv distribute-rgt-in distribute-lft-in
6×sub-neg flip3-- 1-exp associate-*r* flip--
4×pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×distribute-lft-out-- difference-of-squares
Counts
4 → 135
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
55.0ms
(* (/ (cbrt x) y) (- z t))
109.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

series872.0ms

Counts
4 → 12
Calls
4 calls:
251.0ms
(cbrt x)
262.0ms
(cbrt x)
230.0ms
(* (/ (cbrt x) y) (- z t))
129.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

simplify2.0s

Counts
147 → 147
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02242272
15932023
222461490
done50001262

prune441.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes407.0ms

Accuracy

50.1% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify11.0ms

Iterations

Useful iterations: done (10.0ms)

IterNodesCost
02054
12746
23038
33338
done3337

end0.0ms

sample1.2s

Algorithm
intervals
Results
513.0ms10676×body80valid