Details

Time bar (total: 15.6s)

sample55.0ms

Algorithm
intervals
Results
29.0ms421×body80valid

simplify69.0ms

Counts
1 → 1
Iterations
IterNodes
done75
575
471
356
233
116
08

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* x y) (* z z)) (* z z))
0.0b
(+ (* x y) (* z z))
0.1b
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
7×fma-def
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×expm1-log1p-u pow1 +-commutative flip3-+ add-cbrt-cube add-exp-log flip-+ log1p-expm1-u
2×associate-+l+
Counts
3 → 51
Calls
3 calls:
45.0ms
(+ (+ (* x y) (* z z)) (* z z))
6.0ms
(+ (* x y) (* z z))
142.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series220.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(+ (+ (* x y) (* z z)) (* z z))
59.0ms
(+ (* x y) (* z z))
73.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify2.6s

Counts
60 → 60
Iterations
IterNodes
done5000
34540
2866
1246
076

prune403.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.2b
(fma 3 (* z z) (* x y))

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 3 (* z z) (* x y))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(fma 3 (* z z) (* x y))

simplify3.8s

Counts
13 → 13
Iterations
IterNodes
done5001
41015
3237
278
137
021

prune146.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma y x (* (* 3 z) z))
0.2b
(* (* 3 z) z)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt *-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*l* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
1.0ms
(fma y x (* (* 3 z) z))
30.0ms
(* (* 3 z) z)

series135.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(fma y x (* (* 3 z) z))
47.0ms
(* (* 3 z) z)

simplify2.1s

Counts
36 → 36
Iterations
IterNodes
done5001
31412
2362
1123
053

prune218.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z z))
0.3b
(fma (sqrt (+ (+ (* x y) (* z z)) (* z z))) (sqrt (+ (+ (* x y) (* z z)) (* z z))) (* z z))
2.0b
(sqrt (+ (+ (* x y) (* z z)) (* z z)))
2.0b
(sqrt (+ (+ (* x y) (* z z)) (* z z)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
6×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod add-log-exp
4×expm1-log1p-u add-cbrt-cube sqrt-div add-exp-log log1p-expm1-u
3×flip3-+ flip-+
2×rem-sqrt-square sqrt-pow1 pow1/2 hypot-def
1×+-commutative sum-log fma-def fma-udef
Counts
4 → 60
Calls
4 calls:
6.0ms
(+ (* x y) (* z z))
0.0ms
(fma (sqrt (+ (+ (* x y) (* z z)) (* z z))) (sqrt (+ (+ (* x y) (* z z)) (* z z))) (* z z))
30.0ms
(sqrt (+ (+ (* x y) (* z z)) (* z z)))
54.0ms
(sqrt (+ (+ (* x y) (* z z)) (* z z)))

series602.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ (* x y) (* z z))
270.0ms
(fma (sqrt (+ (+ (* x y) (* z z)) (* z z))) (sqrt (+ (+ (* x y) (* z z)) (* z z))) (* z z))
146.0ms
(sqrt (+ (+ (* x y) (* z z)) (* z z)))
138.0ms
(sqrt (+ (+ (* x y) (* z z)) (* z z)))

simplify2.3s

Counts
72 → 72
Iterations
IterNodes
done5000
33440
2779
1230
090

prune488.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes656.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
19
07

end0.0ms

sample1.3s

Algorithm
intervals
Results
985.0ms12144×body80valid