Details

Time bar (total: 18.1s)

sample50.0ms

Algorithm
intervals
Results
22.0ms334×body80valid

simplify219.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
089
1167
2367
3797
41177
51297
61317
done1317

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z y))
8.8b
(* (- (* x y) (* z y)) t)

rewrite57.0ms

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:
23.0ms
(- (* x y) (* z y))
33.0ms
(* (- (* x y) (* z y)) t)

series117.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(- (* x y) (* z y))
70.0ms
(* (- (* x y) (* z y)) t)

simplify3.4s

Counts
46 → 46
Iterations

Useful iterations: done (3.4s)

IterNodesCost
069521
1174408
2636369
32964368
done5001362

prune145.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* t (- x z))
5.5b
(* y (* t (- x z)))

rewrite89.0ms

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:
38.0ms
(* t (- x z))
40.0ms
(* y (* t (- x z)))

series110.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* t (- x z))
58.0ms
(* y (* t (- x z)))

simplify3.5s

Counts
118 → 118
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
01892183
13821679
28971343
341531217
done50001217

prune228.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

4.8b
(* (* t y) (- x z))

rewrite74.0ms

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:
69.0ms
(* (* t y) (- x z))

series81.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(* (* t y) (- x z))

simplify4.7s

Counts
49 → 49
Iterations

Useful iterations: done (4.7s)

IterNodesCost
0114873
1288700
2861564
33423522
done5001396

prune87.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.7b
(pow (cbrt x) 3)
1.2b
(* (* 0 z) (* t y))
4.8b
(* (- (pow (cbrt x) 3) z) (* t y))

rewrite277.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1 add-exp-log add-sqr-sqrt
21×add-cbrt-cube
13×*-un-lft-identity
11×cbrt-prod add-cube-cbrt associate-*l* pow-prod-down prod-exp cbrt-unprod
8×unpow-prod-down cube-prod
6×difference-of-squares
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow pow1/3 associate-*r* associate-*l/ *-commutative sqr-pow
1×cube-mult pow-to-exp flip3-- unpow3 pow-exp flip-- distribute-lft-out-- rem-cube-cbrt
Counts
4 → 98
Calls
4 calls:
2.0ms
(cbrt x)
7.0ms
(pow (cbrt x) 3)
57.0ms
(* (* 0 z) (* t y))
205.0ms
(* (- (pow (cbrt x) 3) z) (* t y))

series814.0ms

Counts
4 → 12
Calls
4 calls:
333.0ms
(cbrt x)
347.0ms
(pow (cbrt x) 3)
4.0ms
(* (* 0 z) (* t y))
130.0ms
(* (- (pow (cbrt x) 3) z) (* t y))

simplify2.4s

Counts
110 → 110
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01471000
1359674
2945470
33402464
done5000464

prune278.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes300.0ms

Accuracy

94.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.6b

bsearch1.0ms

simplify8.0ms

Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
02579
13573
23865
34165
done4165

end0.0ms

sample1.3s

Algorithm
intervals
Results
642.0ms10542×body80valid