Details

Time bar (total: 8.0s)

sample23.0ms

Algorithm
intervals
Results
11.0ms379×body80valid

simplify42.0ms

Counts
1 → 1
Iterations
IterNodes
done86
586
478
357
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))

series51.0ms

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

simplify1.3s

Counts
13 → 13
Iterations
IterNodes
done5001
3588
2115
137
021

prune106.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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:
16.0ms
(+ (* 3 (* z z)) (* x y))
25.0ms
(* 3 (* z z))

series80.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (* 3 (* z z)) (* x y))
34.0ms
(* 3 (* z z))

simplify799.0ms

Counts
41 → 41
Iterations
IterNodes
done5001
21010
1203
061

prune239.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-log-exp
3×add-sqr-sqrt *-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-+
Counts
2 → 34
Calls
2 calls:
13.0ms
(+ (* z (* z 3)) (* x y))
20.0ms
(* z (* z 3))

series95.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ (* z (* z 3)) (* x y))
39.0ms
(* z (* z 3))

simplify724.0ms

Counts
40 → 40
Iterations
IterNodes
done5000
2848
1178
060

prune189.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
22×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l* add-cube-cbrt
7×associate-*r*
6×add-log-exp
4×cbrt-prod expm1-log1p-u log1p-expm1-u
3×*-commutative
2×unswap-sqr
1×+-commutative sum-log fma-def flip3-+ flip-+
Counts
4 → 88
Calls
4 calls:
92.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) z) z)) (* x y))
20.0ms
(* (* (cbrt 3) z) z)
88.0ms
(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) z) z))
8.0ms
(* (cbrt 3) z)

series368.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) z) z)) (* x y))
63.0ms
(* (* (cbrt 3) z) z)
121.0ms
(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) z) z))
67.0ms
(* (cbrt 3) z)

simplify1.8s

Counts
100 → 100
Iterations
IterNodes
done5001
22189
1340
0112

prune531.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes249.0ms

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

sample991.0ms

Algorithm
intervals
Results
659.0ms12299×body80valid