Details

Time bar (total: 31.6s)

sample22.0ms

Algorithm
intervals
Results
10.0ms408×body80valid

simplify20.9s

Counts
1 → 1
Iterations

Useful iterations: 3 (9.0ms)

IterNodesCost
0815
11614
23311
3558
4738
5838
61308
72058
82438
92578
104188
118558
1232298
done50008

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma y x (* 3 (* z z)))
0.2b
(* 3 (* z z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*r* *-commutative fma-udef unswap-sqr
Counts
2 → 31
Calls
2 calls:
0.0ms
(fma y x (* 3 (* z z)))
7.0ms
(* 3 (* z z))

series73.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(fma y x (* 3 (* z z)))
24.0ms
(* 3 (* z z))

simplify3.7s

Counts
37 → 37
Iterations

Useful iterations: 3 (138.0ms)

IterNodesCost
051312
1108296
2321260
3987254
44035254
done5001254

prune77.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma y x (* (* 3 z) z))
0.2b
(* (* 3 z) z)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*l* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma y x (* (* 3 z) z))
7.0ms
(* (* 3 z) z)

series76.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(fma y x (* (* 3 z) z))
28.0ms
(* (* 3 z) z)

simplify2.0s

Counts
36 → 36
Iterations

Useful iterations: 3 (268.0ms)

IterNodesCost
053307
1120291
2503253
32081247
done5000247

prune67.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3 z) z)
0.4b
(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
18.2b
(sqrt (* (* 3 z) z))
18.2b
(sqrt (* (* 3 z) z))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×sqrt-prod
5×associate-*l*
4×expm1-log1p-u swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 116
Calls
4 calls:
7.0ms
(* (* 3 z) z)
42.0ms
(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
5.0ms
(sqrt (* (* 3 z) z))
6.0ms
(sqrt (* (* 3 z) z))

series168.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* 3 z) z)
70.0ms
(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
37.0ms
(sqrt (* (* 3 z) z))
36.0ms
(sqrt (* (* 3 z) z))

simplify588.0ms

Counts
128 → 128
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
0871171
1189777
2933674
done5000674

prune223.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (sqrt (* (* 3 z) z))) (sqrt (sqrt (* (* 3 z) z))))
18.2b
(sqrt (* (* 3 z) z))
18.2b
(sqrt (* (* 3 z) z))
18.2b
(sqrt (* (* 3 z) z))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
157×pow1
149×sqrt-pow1
82×pow-prod-down
29×sqrt-prod
24×add-sqr-sqrt
23×pow1/2
21×pow-prod-up
13×pow-sqr
12×add-cube-cbrt *-un-lft-identity
9×swap-sqr
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 132
Calls
4 calls:
49.0ms
(* (sqrt (sqrt (* (* 3 z) z))) (sqrt (sqrt (* (* 3 z) z))))
5.0ms
(sqrt (* (* 3 z) z))
5.0ms
(sqrt (* (* 3 z) z))
6.0ms
(sqrt (* (* 3 z) z))

series142.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (sqrt (sqrt (* (* 3 z) z))) (sqrt (sqrt (* (* 3 z) z))))
33.0ms
(sqrt (* (* 3 z) z))
38.0ms
(sqrt (* (* 3 z) z))
34.0ms
(sqrt (* (* 3 z) z))

simplify2.6s

Counts
144 → 144
Iterations

Useful iterations: 3 (478.0ms)

IterNodesCost
0811686
1139991
2496881
32712850
done5001850

prune251.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
198
done98

end0.0ms

sample537.0ms

Algorithm
intervals
Results
296.0ms12177×body80valid