Details

Time bar (total: 8.1s)

sample22.0ms

Algorithm
intervals
Results
11.0ms330×body80valid

simplify48.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1157
2347
3657
4867
5957
done957

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z y))
7.5b
(* (- (* x y) (* z y)) t)

rewrite13.0ms

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×flip3-- distribute-rgt-out-- associate-*l/ flip--
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 34
Calls
2 calls:
3.0ms
(- (* x y) (* z y))
10.0ms
(* (- (* x y) (* z y)) t)

series81.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (* x y) (* z y))
44.0ms
(* (- (* x y) (* z y)) t)

simplify1.6s

Counts
40 → 40
Iterations

Useful iterations: 3 (247.0ms)

IterNodesCost
060467
1160365
2613327
32872325
done5000325

prune89.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
6.5b
(* y (* (- x z) t))

rewrite28.0ms

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:
10.0ms
(* (- x z) t)
16.0ms
(* y (* (- x z) t))

series68.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (- x z) t)
39.0ms
(* y (* (- x z) t))

simplify1.6s

Counts
48 → 48
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
077417
1188403
2736337
33375337
done5001337

prune94.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

6.5b
(* y (* (- x z) t))
7.5b
(cbrt (* y (* (- x z) t)))
7.5b
(cbrt (* y (* (- x z) t)))
7.5b
(cbrt (* y (* (- x z) t)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r/ associate-*l/
6×cbrt-div
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 53
Calls
4 calls:
13.0ms
(* y (* (- x z) t))
11.0ms
(cbrt (* y (* (- x z) t)))
11.0ms
(cbrt (* y (* (- x z) t)))
11.0ms
(cbrt (* y (* (- x z) t)))

series372.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* y (* (- x z) t))
111.0ms
(cbrt (* y (* (- x z) t)))
114.0ms
(cbrt (* y (* (- x z) t)))
108.0ms
(cbrt (* y (* (- x z) t)))

simplify976.0ms

Counts
65 → 65
Iterations

Useful iterations: 3 (275.0ms)

IterNodesCost
0101799
1249777
2761677
32904653
done5000653

prune225.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

6.5b
(* y (* (- x z) t))
7.5b
(cbrt (* y (* (- x z) t)))
7.5b
(cbrt (* y (* (- x z) t)))
8.8b
(cbrt (* (- x z) t))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×associate-*l/
6×cbrt-div associate-*r/
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 53
Calls
4 calls:
14.0ms
(* y (* (- x z) t))
11.0ms
(cbrt (* y (* (- x z) t)))
14.0ms
(cbrt (* y (* (- x z) t)))
4.0ms
(cbrt (* (- x z) t))

series414.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* y (* (- x z) t))
108.0ms
(cbrt (* y (* (- x z) t)))
112.0ms
(cbrt (* y (* (- x z) t)))
156.0ms
(cbrt (* (- x z) t))

simplify1.2s

Counts
65 → 65
Iterations

Useful iterations: 3 (355.0ms)

IterNodesCost
0144801
1342780
21021685
33806657
done5000657

prune256.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes304.0ms

Accuracy

90.4% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 6.9b

bsearch2.0ms

simplify16.0ms

Iterations

Useful iterations: 4 (5.0ms)

IterNodesCost
02379
13173
23465
34059
44658
55558
66258
76558
86658
done6658

end0.0ms

sample553.0ms

Algorithm
intervals
Results
278.0ms10673×body80valid