Details

Time bar (total: 43.2s)

sample86.0ms

Algorithm
intervals
Results
32.0ms292×body80nan
19.0ms273×body80valid

simplify392.0ms

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 1 expressions with local error:

0.2b
(* y (sqrt z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*r*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×unswap-sqr
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 24
Calls
1 calls:
20.0ms
(* y (sqrt z))

series100.0ms

Counts
1 → 3
Calls
1 calls:
99.0ms
(* y (sqrt z))

simplify5.0s

Counts
27 → 27
Iterations
IterNodes
done5010
31476
2475
1163
065

prune221.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (sqrt z) y x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (sqrt z) y x)

series114.0ms

Counts
1 → 3
Calls
1 calls:
113.0ms
(fma (sqrt z) y x)

simplify9.8s

Counts
13 → 13
Iterations
IterNodes
done5000
54693
41291
3428
2171
171
031

prune229.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
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:
5.0ms
(sqrt (sqrt z))
5.0ms
(sqrt (sqrt z))
28.0ms
(* y (sqrt (sqrt z)))
141.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series780.0ms

Counts
4 → 12
Calls
4 calls:
295.0ms
(sqrt (sqrt z))
284.0ms
(sqrt (sqrt z))
127.0ms
(* y (sqrt (sqrt z)))
73.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify6.3s

Counts
108 → 108
Iterations
IterNodes
done5000
21247
1369
0138

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 3 expressions with local error:

0.2b
(sqrt (sqrt z))
0.3b
(* (pow z 1/4) y)
0.3b
(* (* (pow z 1/4) y) (sqrt (sqrt z)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
19×sqrt-prod
18×add-exp-log add-sqr-sqrt
12×associate-*r*
11×add-cube-cbrt *-un-lft-identity
10×prod-exp add-cbrt-cube
8×associate-*l*
7×pow1
4×unpow-prod-down sqrt-pow1 cbrt-unprod
3×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative sqr-pow
1×pow-prod-down
Counts
3 → 75
Calls
3 calls:
6.0ms
(sqrt (sqrt z))
29.0ms
(* (pow z 1/4) y)
62.0ms
(* (* (pow z 1/4) y) (sqrt (sqrt z)))

series744.0ms

Counts
3 → 9
Calls
3 calls:
264.0ms
(sqrt (sqrt z))
236.0ms
(* (pow z 1/4) y)
240.0ms
(* (* (pow z 1/4) y) (sqrt (sqrt z)))

simplify9.4s

Counts
84 → 84
Iterations
IterNodes
done5002
21455
1422
0161

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes800.0ms

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
done10
110
09

end0.0ms

sample5.9s

Algorithm
intervals
Results
2.8s8539×body80nan
2.3s8514×body80valid