Details

Time bar (total: 12.1s)

sample40.0ms

Algorithm
intervals
Results
21.0ms396×body80valid

simplify4.0s

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
17.0ms
(+ (* 3 (* z z)) (* x y))
22.0ms
(* 3 (* z z))

series92.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ (* 3 (* z z)) (* x y))
41.0ms
(* 3 (* z z))

simplify1.4s

Counts
36 → 36

prune94.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
25.0ms
(+ (* (* 3 z) z) (* x y))
26.0ms
(* (* 3 z) z)

series80.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ (* (* 3 z) z) (* x y))
31.0ms
(* (* 3 z) z)

simplify1.6s

Counts
35 → 35

prune95.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
7×add-sqr-sqrt associate-*l*
5×add-cube-cbrt *-un-lft-identity add-log-exp
4×cbrt-prod
2×associate-*r* *-commutative unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 62
Calls
3 calls:
71.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
79.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
28.0ms
(* (cbrt 3) (* z z))

series305.0ms

Counts
3 → 9
Calls
3 calls:
110.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
126.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
68.0ms
(* (cbrt 3) (* z z))

simplify658.0ms

Counts
71 → 71

prune172.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sqrt (cbrt 3)) z)
0.1b
(* (sqrt (cbrt 3)) z)
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (* (sqrt (cbrt 3)) z) (* (sqrt (cbrt 3)) z)))
0.3b
(* (* (sqrt (cbrt 3)) z) (* (sqrt (cbrt 3)) z))

rewrite311.0ms

Algorithm
rewrite-expression-head
Rules
156×pow1
81×pow-prod-down
61×add-exp-log
51×add-cbrt-cube
41×prod-exp cbrt-unprod
24×add-sqr-sqrt
20×associate-*l*
18×pow-prod-up
16×sqrt-prod
12×add-cube-cbrt *-un-lft-identity pow-plus pow-sqr
8×cbrt-prod associate-*r*
7×unswap-sqr
4×*-commutative add-log-exp
3×pow2
1×swap-sqr
Counts
4 → 144
Calls
4 calls:
13.0ms
(* (sqrt (cbrt 3)) z)
13.0ms
(* (sqrt (cbrt 3)) z)
206.0ms
(* (* (cbrt 3) (cbrt 3)) (* (* (sqrt (cbrt 3)) z) (* (sqrt (cbrt 3)) z)))
70.0ms
(* (* (sqrt (cbrt 3)) z) (* (sqrt (cbrt 3)) z))

series379.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* (sqrt (cbrt 3)) z)
99.0ms
(* (sqrt (cbrt 3)) z)
112.0ms
(* (* (cbrt 3) (cbrt 3)) (* (* (sqrt (cbrt 3)) z) (* (sqrt (cbrt 3)) z)))
67.0ms
(* (* (sqrt (cbrt 3)) z) (* (sqrt (cbrt 3)) z))

simplify767.0ms

Counts
156 → 156

prune285.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify17.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
899.0ms12143×body80valid