Details

Time bar (total: 8.4s)

sample23.0ms

Algorithm
intervals
Results
10.0ms365×body80valid

simplify94.0ms

Counts
1 → 1

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* x (- x y)) 2.0)
0.0b
(* x (- x y))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*r*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*l/ *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
50.0ms
(* (* x (- x y)) 2.0)
26.0ms
(* x (- x y))

series107.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(* (* x (- x y)) 2.0)
49.0ms
(* x (- x y))

simplify501.0ms

Counts
52 → 52

prune108.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (* (- x y) 2.0))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r/ associate-*l/
1×flip3-- associate-*r* *-commutative flip-- add-log-exp
Counts
1 → 20
Calls
1 calls:
51.0ms
(* x (* (- x y) 2.0))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(* x (* (- x y) 2.0))

simplify1.5s

Counts
23 → 23

prune40.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (* (- x y) 2.0))
0.4b
(* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))))
8.3b
(sqrt (* x (* (- x y) 2.0)))
8.3b
(sqrt (* x (* (- x y) 2.0)))

rewrite344.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
20×associate-*r/ associate-*l/
17×pow-prod-up
16×sqrt-div
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt flip3-- *-un-lft-identity flip--
7×associate-*l*
6×sqrt-prod
5×associate-*r*
4×frac-times swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 122
Calls
4 calls:
47.0ms
(* x (* (- x y) 2.0))
221.0ms
(* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))))
26.0ms
(sqrt (* x (* (- x y) 2.0)))
41.0ms
(sqrt (* x (* (- x y) 2.0)))

series701.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* x (* (- x y) 2.0))
163.0ms
(* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))))
248.0ms
(sqrt (* x (* (- x y) 2.0)))
209.0ms
(sqrt (* x (* (- x y) 2.0)))

simplify703.0ms

Counts
134 → 134

prune262.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sqrt x) (- x y))
0.1b
(* (sqrt x) (* (sqrt x) (- x y)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*l*
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
7×add-cube-cbrt sqrt-prod
6×sub-neg associate-*r/ associate-*r*
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 61
Calls
2 calls:
34.0ms
(* (sqrt x) (- x y))
64.0ms
(* (sqrt x) (* (sqrt x) (- x y)))

series133.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(* (sqrt x) (- x y))
66.0ms
(* (sqrt x) (* (sqrt x) (- x y)))

simplify2.2s

Counts
67 → 67

prune133.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify131.0ms

end0.0ms

sample996.0ms

Algorithm
intervals
Results
595.0ms11297×body80valid