Details

Time bar (total: 9.5s)

sample37.0ms

Algorithm
intervals
Results
17.0ms344×body80valid

simplify63.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1157
2347
3717
41007
51067
done1067

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize12.0ms

Local error

Found 1 expressions with local error:

8.1b
(* (- (* x y) (* z y)) t)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube
2×associate-*l/
1×flip3-- distribute-rgt-out-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
40.0ms
(* (- (* x y) (* z y)) t)

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(* (- (* x y) (* z y)) t)

simplify528.0ms

Counts
24 → 24
Iterations

Useful iterations: done (527.0ms)

IterNodesCost
050290
1136231
2609203
done5001201

prune99.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
6.7b
(* y (* (- x z) t))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*l*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×flip3-- associate-*r/ *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 42
Calls
2 calls:
39.0ms
(* (- x z) t)
48.0ms
(* y (* (- x z) t))

series86.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (- x z) t)
55.0ms
(* y (* (- x z) t))

simplify518.0ms

Counts
48 → 48
Iterations

Useful iterations: 2 (127.0ms)

IterNodesCost
077417
1188403
2785337
done5000337

prune108.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))
6.7b
(* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t)))

rewrite397.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
34×associate-*r/
32×associate-*l/
30×flip3-- flip--
28×frac-times
22×pow1 add-exp-log
16×add-cbrt-cube
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
13×pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt
4×add-log-exp
3×pow1/3 associate-*l* distribute-lft-out-- difference-of-squares
1×associate-*r* *-commutative
Counts
4 → 98
Calls
4 calls:
4.0ms
(cbrt (- x z))
4.0ms
(cbrt (- x z))
4.0ms
(cbrt (- x z))
377.0ms
(* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t)))

series636.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt (- x z))
204.0ms
(cbrt (- x z))
192.0ms
(cbrt (- x z))
53.0ms
(* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t)))

simplify1.0s

Counts
110 → 110
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01921934
15611899
218711545
done50011379

prune385.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))
6.6b
(* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (* (cbrt (- x z)) t))

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*r/ associate-*l/
30×flip3-- flip--
28×frac-times
25×pow1 add-exp-log
18×add-cbrt-cube
15×cbrt-prod pow-prod-down prod-exp cbrt-unprod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
4×add-log-exp
3×pow1/3 distribute-lft-out-- difference-of-squares
1×associate-*r* associate-*l* *-commutative
Counts
4 → 99
Calls
4 calls:
4.0ms
(cbrt (- x z))
4.0ms
(cbrt (- x z))
4.0ms
(cbrt (- x z))
232.0ms
(* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (* (cbrt (- x z)) t))

series598.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt (- x z))
203.0ms
(cbrt (- x z))
163.0ms
(cbrt (- x z))
49.0ms
(* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (* (cbrt (- x z)) t))

simplify1.1s

Counts
111 → 111
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01812327
15372249
219211834
done50001681

prune443.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes459.0ms

Accuracy

89.9% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 7.1b

bsearch3.0ms

simplify1.2s

Iterations

Useful iterations: 4 (13.0ms)

IterNodesCost
02379
13173
23465
34059
44358
54958
66258
77858
810558
916258
1022058
1145758
1269258
13182958
14296658
done500258

end0.0ms

sample1.3s

Algorithm
intervals
Results
533.0ms10552×body80valid