Details

Time bar (total: 6.5s)

sample22.0ms

Algorithm
intervals
Results
9.0ms347×body80valid

simplify32.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1169
2339
3459
4639
5699
done699

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
9.3b
(/ (- (* x y) (* z t)) a)

rewrite11.0ms

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:
2.0ms
(- (* x y) (* z t))
7.0ms
(/ (- (* x y) (* z t)) a)

series91.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* x y) (* z t))
50.0ms
(/ (- (* x y) (* z t)) a)

simplify962.0ms

Counts
48 → 48
Iterations

Useful iterations: done (961.0ms)

IterNodesCost
080652
1207632
2709582
32515582
done5001581

prune139.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
5.7b
(/ (* x y) a)
8.1b
(/ (* t z) a)

rewrite18.0ms

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:
10.0ms
(- (/ (* x y) a) (/ (* t z) a))
3.0ms
(/ (* x y) a)
3.0ms
(/ (* t z) a)

series116.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(- (/ (* x y) a) (/ (* t z) a))
29.0ms
(/ (* x y) a)
19.0ms
(/ (* t z) a)

simplify413.0ms

Counts
68 → 68
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
0111699
1288658
21146594
done5000594

prune166.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
2.3b
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
5.7b
(/ (* x y) a)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
30×add-exp-log
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
22×associate-*r*
17×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×associate-/r* div-inv
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 102
Calls
4 calls:
0.0ms
(cbrt a)
1.0ms
(cbrt a)
26.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
4.0ms
(/ (* x y) a)

series434.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt a)
176.0ms
(cbrt a)
53.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
20.0ms
(/ (* x y) a)

simplify801.0ms

Counts
114 → 114
Iterations

Useful iterations: done (798.0ms)

IterNodesCost
01811334
15341281
22499957
done5000949

prune352.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
2.3b
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
5.8b
(* x (/ y a))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
38×times-frac
35×associate-*r*
30×add-exp-log
29×add-cube-cbrt *-un-lft-identity
23×add-cbrt-cube
17×cbrt-prod
10×associate-*l* prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp unswap-sqr
4×add-log-exp
3×div-inv
2×pow1/3 associate-*r/ pow-prod-down *-commutative
1×frac-times associate-*l/
Counts
4 → 113
Calls
4 calls:
0.0ms
(cbrt a)
1.0ms
(cbrt a)
28.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
8.0ms
(* x (/ y a))

series435.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt a)
182.0ms
(cbrt a)
53.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
19.0ms
(* x (/ y a))

simplify854.0ms

Counts
125 → 125
Iterations

Useful iterations: done (851.0ms)

IterNodesCost
02011425
15831362
226891036
done50001028

prune373.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes536.0ms

Accuracy

88% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 7.6b

bsearch2.0ms

simplify18.0ms

Iterations

Useful iterations: 4 (7.0ms)

IterNodesCost
032112
14199
24489
35076
45675
56375
66775
77075
87175
done7175

end0.0ms

sample624.0ms

Algorithm
intervals
Results
306.0ms11156×body80valid