Details

Time bar (total: 12.0s)

sample52.0ms

Algorithm
intervals
Results
11.0ms269×body80valid
11.0ms272×body80nan

simplify239.0ms

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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)

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(fma y (sqrt z) x)

simplify1.0s

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

prune95.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
6×associate-*r*
5×*-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube add-exp-log sqrt-prod add-log-exp
3×associate-*l*
2×expm1-log1p-u log1p-expm1-u unswap-sqr
1×+-commutative sum-log fma-def flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+
Counts
2 → 38
Calls
2 calls:
16.0ms
(+ (* y (sqrt z)) x)
13.0ms
(* y (sqrt z))

series109.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ (* y (sqrt z)) x)
60.0ms
(* y (sqrt z))

simplify2.2s

Counts
44 → 44
Iterations
IterNodes
done5000
34240
2810
1244
091

prune255.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

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)))

rewrite44.0ms

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)))
27.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series490.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(sqrt (sqrt z))
189.0ms
(sqrt (sqrt z))
92.0ms
(* y (sqrt (sqrt z)))
48.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.3s

Counts
108 → 108
Iterations
IterNodes
done5001
21722
1368
0138

prune517.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* y (pow z 1/4)) (sqrt (sqrt z))) x)
0.1b
(sqrt (sqrt z))
0.2b
(* y (pow z 1/4))
0.3b
(* (* y (pow z 1/4)) (sqrt (sqrt z)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt add-exp-log sqrt-prod
16×associate-*r*
12×*-un-lft-identity add-cube-cbrt
11×add-cbrt-cube
10×prod-exp
8×pow1
6×add-log-exp
4×expm1-log1p-u unpow-prod-down sqrt-pow1 associate-*l* cbrt-unprod log1p-expm1-u
3×unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative sqr-pow
1×+-commutative sum-log fma-def flip3-+ pow-prod-down flip-+
Counts
4 → 89
Calls
4 calls:
24.0ms
(+ (* (* y (pow z 1/4)) (sqrt (sqrt z))) x)
3.0ms
(sqrt (sqrt z))
16.0ms
(* y (pow z 1/4))
25.0ms
(* (* y (pow z 1/4)) (sqrt (sqrt z)))

series599.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(+ (* (* y (pow z 1/4)) (sqrt (sqrt z))) x)
224.0ms
(sqrt (sqrt z))
88.0ms
(* y (pow z 1/4))
141.0ms
(* (* y (pow z 1/4)) (sqrt (sqrt z)))

simplify1.7s

Counts
101 → 101
Iterations
IterNodes
done5001
22455
1525
0193

prune654.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes291.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample2.2s

Algorithm
intervals
Results
804.0ms8588×body80nan
575.0ms8510×body80valid