Details

Time bar (total: 2.6s)

sample146.0ms

Algorithm
intervals
Results
18.0ms337×body80valid

simplify8.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) y)
0.2b
(* 0.5 (- (* x x) y))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube add-log-exp
3×sub-neg associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip-- difference-of-squares
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 38
Calls
2 calls:
9.0ms
(- (* x x) y)
79.0ms
(* 0.5 (- (* x x) y))

series91.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- (* x x) y)
46.0ms
(* 0.5 (- (* x x) y))

simplify57.0ms

Counts
44 → 44

prune85.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (* 0.5 (- (* x x) y)))
0.2b
(* 0.5 (- (* x x) y))
0.2b
(* 0.5 (- (* x x) y))
0.3b
(* (sqrt (* 0.5 (- (* x x) y))) (sqrt (* 0.5 (- (* x x) y))))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
60×pow1
30×sqrt-pow1
23×pow-prod-down
20×add-sqr-sqrt associate-*r/
14×sqrt-div
12×add-cube-cbrt *-un-lft-identity associate-*r*
11×pow1/2
10×add-exp-log associate-*l* pow-prod-up add-cbrt-cube
9×flip3-- flip--
6×pow-sqr
5×sqrt-prod
4×distribute-rgt-in frac-times sub-neg distribute-lft-in swap-sqr add-log-exp
3×prod-exp *-commutative cbrt-unprod unswap-sqr
2×associate-*l/ difference-of-squares
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 120
Calls
4 calls:
21.0ms
(sqrt (* 0.5 (- (* x x) y)))
37.0ms
(* 0.5 (- (* x x) y))
43.0ms
(* 0.5 (- (* x x) y))
109.0ms
(* (sqrt (* 0.5 (- (* x x) y))) (sqrt (* 0.5 (- (* x x) y))))

series374.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(sqrt (* 0.5 (- (* x x) y)))
42.0ms
(* 0.5 (- (* x x) y))
43.0ms
(* 0.5 (- (* x x) y))
158.0ms
(* (sqrt (* 0.5 (- (* x x) y))) (sqrt (* 0.5 (- (* x x) y))))

simplify176.0ms

Counts
132 → 132

prune378.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.3b

regimes80.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

end0.0ms

sample847.0ms

Algorithm
intervals
Results
445.0ms10671×body80valid
0.0ms1×body640valid