Details

Time bar (total: 7.8s)

sample54.0ms

Algorithm
intervals
Results
24.0ms400×body80valid

simplify84.0ms

Counts
1 → 1
Iterations
IterNodes
done86
586
478
357
233
116
08

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(fma 3 (* z z) (* x y))

simplify1.1s

Counts
13 → 13
Iterations
IterNodes
done5001
3588
2115
137
021

prune82.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative sum-log fma-def flip3-+ associate-*r* *-commutative flip-+ unswap-sqr
Counts
2 → 35
Calls
2 calls:
27.0ms
(+ (* 3 (* z z)) (* x y))
27.0ms
(* 3 (* z z))

series124.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(+ (* 3 (* z z)) (* x y))
53.0ms
(* 3 (* z z))

simplify766.0ms

Counts
41 → 41
Iterations
IterNodes
done5001
21010
1203
061

prune247.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.2b
(* z (* z 3))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
29.0ms
(* z (* z 3))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(* z (* z 3))

simplify866.0ms

Counts
23 → 23
Iterations
IterNodes
done5000
2465
189
035

prune120.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (sqrt 3) (* z (* (sqrt 3) z))) (* x y))
0.2b
(* z (* (sqrt 3) z))
0.3b
(* (sqrt 3) (* z (* (sqrt 3) z)))
0.4b
(* (sqrt 3) z)

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-cbrt-cube add-exp-log
15×associate-*l*
14×add-sqr-sqrt
10×*-un-lft-identity pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
7×sqrt-prod
6×add-log-exp
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×*-commutative
2×unswap-sqr
1×+-commutative sum-log fma-def flip3-+ flip-+
Counts
4 → 84
Calls
4 calls:
60.0ms
(+ (* (sqrt 3) (* z (* (sqrt 3) z))) (* x y))
27.0ms
(* z (* (sqrt 3) z))
74.0ms
(* (sqrt 3) (* z (* (sqrt 3) z)))
12.0ms
(* (sqrt 3) z)

series355.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(+ (* (sqrt 3) (* z (* (sqrt 3) z))) (* x y))
86.0ms
(* z (* (sqrt 3) z))
87.0ms
(* (sqrt 3) (* z (* (sqrt 3) z)))
74.0ms
(* (sqrt 3) z)

simplify1.2s

Counts
96 → 96
Iterations
IterNodes
done5001
21549
1278
0102

prune441.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes355.0ms

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
done11
111
08

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s12203×body80valid