Details

Time bar (total: 10.9s)

sample61.0ms

Algorithm
intervals
Results
13.0ms269×body80valid
13.0ms272×body80nan

simplify187.0ms

Counts
1 → 1
Iterations
IterNodes
done180
8180
7178
6160
5142
4123
385
251
121
010

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma y (sqrt z) x)

rewrite1.0ms

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 log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma y (sqrt z) x)

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(fma y (sqrt z) x)

simplify696.0ms

Counts
13 → 13
Iterations
IterNodes
done5000
41133
3256
2105
148
025

prune69.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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 log1p-expm1-u unswap-sqr
1×+-commutative sum-log flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+
Counts
2 → 40
Calls
2 calls:
4.0ms
(+ x (* y (sqrt z)))
8.0ms
(* y (sqrt z))

series86.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (* y (sqrt z)))
48.0ms
(* y (sqrt z))

simplify1.9s

Counts
46 → 46
Iterations
IterNodes
done5000
34407
2824
1240
090

prune283.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.2b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite50.0ms

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 log1p-expm1-u add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 96
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
2.0ms
(sqrt (sqrt z))
10.0ms
(* y (sqrt (sqrt z)))
33.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series477.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(sqrt (sqrt z))
168.0ms
(sqrt (sqrt z))
87.0ms
(* y (sqrt (sqrt z)))
47.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify870.0ms

Counts
108 → 108
Iterations
IterNodes
done5001
21722
1368
0138

prune530.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (cbrt (pow (sqrt (sqrt z)) 3)))
0.3b
(* (* y (cbrt (pow (sqrt (sqrt z)) 3))) (sqrt (sqrt z)))
0.6b
(cbrt (pow (sqrt (sqrt z)) 3))
0.7b
(pow (sqrt (sqrt z)) 3)

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
69×sqrt-prod
56×cbrt-prod
47×add-sqr-sqrt
36×associate-*r*
30×unpow-prod-down *-un-lft-identity cube-prod add-cube-cbrt
14×pow1
12×add-exp-log
10×add-cbrt-cube
9×unswap-sqr
5×pow-pow
4×expm1-log1p-u sqrt-pow1 associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp sqr-pow
3×cube-mult pow-unpow unpow3
2×pow1/2 *-commutative
1×pow-to-exp pow1/3 pow-exp rem-cbrt-cube sqrt-pow2 rem-cube-cbrt
Counts
4 → 155
Calls
4 calls:
31.0ms
(* y (cbrt (pow (sqrt (sqrt z)) 3)))
56.0ms
(* (* y (cbrt (pow (sqrt (sqrt z)) 3))) (sqrt (sqrt z)))
6.0ms
(cbrt (pow (sqrt (sqrt z)) 3))
7.0ms
(pow (sqrt (sqrt z)) 3)

series550.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* y (cbrt (pow (sqrt (sqrt z)) 3)))
50.0ms
(* (* y (cbrt (pow (sqrt (sqrt z)) 3))) (sqrt (sqrt z)))
154.0ms
(cbrt (pow (sqrt (sqrt z)) 3))
264.0ms
(pow (sqrt (sqrt z)) 3)

simplify2.0s

Counts
167 → 167
Iterations
IterNodes
done5001
23330
1624
0215

prune608.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes227.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample2.0s

Algorithm
intervals
Results
765.0ms8588×body80nan
427.0ms8510×body80valid