Details

Time bar (total: 12.5s)

sample60.0ms

Algorithm
intervals
Results
15.0ms269×body80valid
15.0ms269×body80nan

simplify224.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
010205
121205
251180
385180
4123180
5142180
6160180
7178180
8180180
done180180

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:
5.0ms
(+ x (* y (sqrt z)))
8.0ms
(* y (sqrt z))

series102.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ x (* y (sqrt z)))
60.0ms
(* y (sqrt z))

simplify2.5s

Counts
46 → 46
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
0909495
12407783
28247218
344077008
done50007008

prune289.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:
17.0ms
(+ (* y (sqrt z)) x)
14.0ms
(* y (sqrt z))

series109.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ (* y (sqrt z)) x)
55.0ms
(* y (sqrt z))

simplify2.3s

Counts
44 → 44
Iterations

Useful iterations: done (2.3s)

IterNodesCost
0919618
12447656
28107341
342407131
done50007106

prune213.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

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)

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(fma y (sqrt z) x)

simplify1.1s

Counts
13 → 13
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0252236
1482156
21052076
32562076
411332076
done50002026

prune106.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

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)))

rewrite58.0ms

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:
6.0ms
(sqrt (sqrt z))
3.0ms
(sqrt (sqrt z))
16.0ms
(* y (sqrt (sqrt z)))
30.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series527.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(sqrt (sqrt z))
197.0ms
(sqrt (sqrt z))
107.0ms
(* y (sqrt (sqrt z)))
48.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.5s

Counts
108 → 108
Iterations

Useful iterations: done (1.5s)

IterNodesCost
013824310
136819338
2172218576
done500118296

prune531.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes465.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010205
113205
done13205

end0.0ms

sample2.1s

Algorithm
intervals
Results
924.0ms8452×body80nan
578.0ms8521×body80valid