Details

Time bar (total: 14.7s)

sample38.0ms

Algorithm
intervals
Results
16.0ms350×body80valid

simplify157.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1167
2367
3797
41177
51297
61317
done1317

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize12.0ms

Local error

Found 2 expressions with local error:

1.2b
(- (* x y) (* z y))
7.0b
(* (- (* x y) (* z y)) t)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×expm1-log1p-u flip3-- distribute-rgt-out-- associate-*l/ flip-- log1p-expm1-u
1×sub-neg fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
14.0ms
(- (* x y) (* z y))
44.0ms
(* (- (* x y) (* z y)) t)

series125.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(- (* x y) (* z y))
72.0ms
(* (- (* x y) (* z y)) t)

simplify2.8s

Counts
46 → 46
Iterations

Useful iterations: done (2.8s)

IterNodesCost
069521
1174408
2636369
32964368
done5001362

prune140.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* t (- x z))
5.8b
(* y (* t (- x z)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
45×add-sqr-sqrt
43×*-un-lft-identity
41×add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
28.0ms
(* t (- x z))
43.0ms
(* y (* t (- x z)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* t (- x z))
64.0ms
(* y (* t (- x z)))

simplify2.8s

Counts
118 → 118
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01892183
13821679
28971343
341531217
done50001217

prune181.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
51.0ms
(* (* t y) (- x z))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(* (* t y) (- x z))

simplify3.4s

Counts
49 → 49
Iterations

Useful iterations: done (3.4s)

IterNodesCost
0114873
1288700
2861564
33423522
done5001396

prune92.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
2.2b
(* (* (* (cbrt t) (cbrt t)) (* y (- x z))) (cbrt t))
5.1b
(* (* (cbrt t) (cbrt t)) (* y (- x z)))

rewrite361.0ms

Algorithm
rewrite-expression-head
Rules
44×distribute-rgt-in distribute-lft-in
36×prod-diff
34×pow1 add-exp-log
32×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
9×cbrt-prod
8×associate-*r/
7×associate-*r*
4×expm1-log1p-u sub-neg log1p-expm1-u add-log-exp
2×flip3-- pow1/3 associate-*l* associate-*l/ *-commutative flip--
Counts
4 → 130
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
244.0ms
(* (* (* (cbrt t) (cbrt t)) (* y (- x z))) (cbrt t))
104.0ms
(* (* (cbrt t) (cbrt t)) (* y (- x z)))

series941.0ms

Counts
4 → 12
Calls
4 calls:
273.0ms
(cbrt t)
226.0ms
(cbrt t)
99.0ms
(* (* (* (cbrt t) (cbrt t)) (* y (- x z))) (cbrt t))
343.0ms
(* (* (cbrt t) (cbrt t)) (* y (- x z)))

simplify1.4s

Counts
142 → 142
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02352816
16132440
218711705
done50011565

prune278.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes399.0ms

Accuracy

96.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.1b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02579
13279
done3279

end0.0ms

sample1.1s

Algorithm
intervals
Results
562.0ms10709×body80valid