Details

Time bar (total: 15.1s)

sample61.0ms

Algorithm
intervals
Results
21.0ms293×body80nan
20.0ms273×body80valid

simplify201.0ms

Counts
1 → 1
Iterations
IterNodes
done173
8173
7167
6140
5126
4101
380
251
121
010

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma y (sqrt z) x)

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
0.0ms
(fma y (sqrt z) x)

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(fma y (sqrt z) x)

simplify2.0s

Counts
14 → 14
Iterations
IterNodes
done5000
52811
4733
3238
2105
149
026

prune82.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.2b
(* y (sqrt z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
6×*-un-lft-identity associate-*r* add-cube-cbrt
4×pow1 add-cbrt-cube add-exp-log sqrt-prod add-log-exp
3×fma-def associate-*l*
2×expm1-log1p-u insert-posit16 log1p-expm1-u unswap-sqr
1×+-commutative sum-log flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+
Counts
2 → 42
Calls
2 calls:
9.0ms
(+ x (* y (sqrt z)))
14.0ms
(* y (sqrt z))

series139.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ x (* y (sqrt z)))
74.0ms
(* y (sqrt z))

simplify3.0s

Counts
48 → 48
Iterations
IterNodes
done5004
32342
2737
1242
092

prune268.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 *-un-lft-identity add-cube-cbrt
11×add-cbrt-cube add-exp-log
8×sqrt-pow1
4×expm1-log1p-u rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 100
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
2.0ms
(sqrt (sqrt z))
9.0ms
(* y (sqrt (sqrt z)))
34.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series578.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(sqrt (sqrt z))
211.0ms
(sqrt (sqrt z))
94.0ms
(* y (sqrt (sqrt z)))
57.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.4s

Counts
112 → 112
Iterations
IterNodes
done5000
21250
1371
0141

prune763.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (sqrt z) (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (cbrt (* (sqrt z) (sqrt (sqrt z)))))
0.6b
(cbrt (* (sqrt z) (sqrt (sqrt z))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
35×sqrt-prod
22×pow1 associate-*r*
14×*-un-lft-identity add-cube-cbrt
13×add-exp-log
11×sqrt-pow1 add-cbrt-cube
10×associate-*l*
9×unswap-sqr
7×pow1/2 pow-prod-down
6×pow-prod-up
5×prod-exp cbrt-unprod
4×expm1-log1p-u pow3 insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
2×cbrt-prod rem-cbrt-cube
1×pow1/3 sqrt-unprod
Counts
4 → 111
Calls
4 calls:
9.0ms
(* y (sqrt (sqrt z)))
13.0ms
(* (sqrt z) (sqrt (sqrt z)))
28.0ms
(* (* y (sqrt (sqrt z))) (cbrt (* (sqrt z) (sqrt (sqrt z)))))
8.0ms
(cbrt (* (sqrt z) (sqrt (sqrt z))))

series544.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(* y (sqrt (sqrt z)))
210.0ms
(* (sqrt z) (sqrt (sqrt z)))
55.0ms
(* (* y (sqrt (sqrt z))) (cbrt (* (sqrt z) (sqrt (sqrt z)))))
195.0ms
(cbrt (* (sqrt z) (sqrt (sqrt z))))

simplify2.5s

Counts
123 → 123
Iterations
IterNodes
done5000
34533
21413
1457
0179

prune477.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes410.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.0s8532×body80valid
824.0ms8203×body80nan