Details

Time bar (total: 9.7s)

sample46.0ms

Algorithm
intervals
Results
18.0ms336×body80valid

simplify151.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
089
1167
2367
3797
41227
51347
61367
done1367

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.4b
(- (* x y) (* z y))
7.5b
(* (- (* x y) (* z y)) t)

rewrite45.0ms

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:
13.0ms
(- (* x y) (* z y))
31.0ms
(* (- (* x y) (* z y)) t)

series98.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* x y) (* z y))
56.0ms
(* (- (* x y) (* z y)) t)

simplify610.0ms

Counts
46 → 46
Iterations

Useful iterations: done (608.0ms)

IterNodesCost
069521
1178408
2801369
done5001368

prune170.0ms

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

rewrite109.0ms

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×expm1-log1p-u flip3-- associate-*r/ *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
38.0ms
(* (- x z) t)
69.0ms
(* y (* (- x z) t))

series92.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (- x z) t)
59.0ms
(* y (* (- x z) t))

simplify622.0ms

Counts
52 → 52
Iterations

Useful iterations: 2 (115.0ms)

IterNodesCost
081445
1195431
2804365
done5000365

prune147.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

6.6b
(* y (* (- x z) t))
6.9b
(cbrt (* y (* (- x z) t)))
6.9b
(cbrt (* y (* (- x z) t)))
6.9b
(cbrt (* y (* (- x z) t)))

rewrite219.0ms

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×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 61
Calls
4 calls:
68.0ms
(* y (* (- x z) t))
47.0ms
(cbrt (* y (* (- x z) t)))
46.0ms
(cbrt (* y (* (- x z) t)))
54.0ms
(cbrt (* y (* (- x z) t)))

series560.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* y (* (- x z) t))
175.0ms
(cbrt (* y (* (- x z) t)))
166.0ms
(cbrt (* y (* (- x z) t)))
150.0ms
(cbrt (* y (* (- x z) t)))

simplify2.4s

Counts
73 → 73
Iterations

Useful iterations: 3 (962.0ms)

IterNodesCost
0105869
1257844
2822744
34538720
done5000720

prune312.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

6.6b
(* y (* (- x z) t))
6.9b
(cbrt (* y (* (- x z) t)))
6.9b
(cbrt (* y (* (- x z) t)))
9.0b
(cbrt (* (- x z) t))

rewrite120.0ms

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×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 61
Calls
4 calls:
35.0ms
(* y (* (- x z) t))
38.0ms
(cbrt (* y (* (- x z) t)))
36.0ms
(cbrt (* y (* (- x z) t)))
8.0ms
(cbrt (* (- x z) t))

series597.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* y (* (- x z) t))
187.0ms
(cbrt (* y (* (- x z) t)))
151.0ms
(cbrt (* y (* (- x z) t)))
186.0ms
(cbrt (* (- x z) t))

simplify777.0ms

Counts
73 → 73
Iterations

Useful iterations: done (774.0ms)

IterNodesCost
0150867
1352842
21172747
done5000718

prune427.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes422.0ms

Accuracy

55.7% (2.9b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 6.7b

bsearch86.0ms

Steps
ItersRangePoint
10
4.9334214555301785e-55
5.767286858687546e-43
1.9425146495850532e-44
8
-1.6220332931719092e+106
-7.802087806374319e+102
-7.898557300438487e+102

simplify11.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01733
12625
23025
33125
done3125

end0.0ms

sample1.6s

Algorithm
intervals
Results
616.0ms10765×body80valid