Details

Time bar (total: 14.6s)

sample34.0ms

Algorithm
intervals
Results
15.0ms373×body80valid

simplify46.0ms

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b
(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:
0.0ms
(fma 3 (* z z) (* x y))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(fma 3 (* z z) (* x y))

simplify3.3s

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

prune94.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
7×sum-log
4×fma-def
3×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
2×expm1-log1p-u pow1 +-commutative flip3-+ add-cbrt-cube add-exp-log flip-+ log1p-expm1-u
1×associate-+l+
Counts
2 → 33
Calls
2 calls:
13.0ms
(+ (* x y) (* z z))
123.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series130.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(+ (* x y) (* z z))
68.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify2.7s

Counts
39 → 39
Iterations
IterNodes
done5000
33745
2721
1203
060

prune259.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:
0.0ms
(fma y x (* (* 3 z) z))
23.0ms
(* (* 3 z) z)

series98.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(fma y x (* (* 3 z) z))
27.0ms
(* (* 3 z) z)

simplify2.1s

Counts
36 → 36
Iterations
IterNodes
done5001
31412
2362
1123
053

prune246.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3 z) z)
0.3b
(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
17.4b
(sqrt (* (* 3 z) z))
17.4b
(sqrt (* (* 3 z) z))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-sqr-sqrt add-cbrt-cube add-exp-log pow-sqr
9×*-un-lft-identity add-cube-cbrt
7×associate-*r*
6×sqrt-prod
5×associate-*l*
4×expm1-log1p-u swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative
1×pow2 rem-square-sqrt pow-plus sqrt-unprod unswap-sqr
Counts
4 → 116
Calls
4 calls:
24.0ms
(* (* 3 z) z)
91.0ms
(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
17.0ms
(sqrt (* (* 3 z) z))
26.0ms
(sqrt (* (* 3 z) z))

series246.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* 3 z) z)
112.0ms
(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
60.0ms
(sqrt (* (* 3 z) z))
38.0ms
(sqrt (* (* 3 z) z))

simplify2.1s

Counts
128 → 128
Iterations
IterNodes
done5006
31973
2554
1216
087

prune541.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes482.0ms

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
done8
18
07

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.1s12178×body80valid