Details

Time bar (total: 12.5s)

sample59.0ms

Algorithm
intervals
Results
18.0ms269×body80nan
12.0ms269×body80valid

simplify135.0ms

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

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))

series83.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ x (* y (sqrt z)))
49.0ms
(* y (sqrt z))

simplify2.1s

Counts
46 → 46
Iterations
IterNodes
done5000
34407
2824
1240
090

prune243.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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:
1.0ms
(fma y (sqrt z) x)

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(fma y (sqrt z) x)

simplify1.0s

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

prune120.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

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)))

rewrite51.0ms

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))
7.0ms
(sqrt (sqrt z))
10.0ms
(* y (sqrt (sqrt z)))
29.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series544.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(sqrt (sqrt z))
198.0ms
(sqrt (sqrt z))
107.0ms
(* y (sqrt (sqrt z)))
54.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.4s

Counts
108 → 108
Iterations
IterNodes
done5001
21722
1368
0138

prune643.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×add-exp-log sqrt-prod
13×*-un-lft-identity add-cube-cbrt
12×associate-*r*
11×add-cbrt-cube
10×prod-exp
8×pow1 associate-*l*
6×add-log-exp
4×expm1-log1p-u unpow-prod-down sqrt-pow1 cbrt-unprod log1p-expm1-u
3×fma-def unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative sqr-pow
1×+-commutative sum-log flip3-+ pow-prod-down flip-+
Counts
4 → 91
Calls
4 calls:
15.0ms
(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
4.0ms
(sqrt (sqrt z))
18.0ms
(* (pow z 1/4) y)
21.0ms
(* (* (pow z 1/4) y) (sqrt (sqrt z)))

series562.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
178.0ms
(sqrt (sqrt z))
124.0ms
(* (pow z 1/4) y)
188.0ms
(* (* (pow z 1/4) y) (sqrt (sqrt z)))

simplify1.9s

Counts
103 → 103
Iterations
IterNodes
done5000
22468
1506
0189

prune626.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes641.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample2.1s

Algorithm
intervals
Results
480.0ms8521×body80valid
461.0ms8452×body80nan