Details

Time bar (total: 10.0s)

sample16.0ms

Algorithm
intervals
Results
6.0ms290×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done26
426
321
215
18
05

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (- 1.0 y) x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×*-un-lft-identity associate-*l*
3×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt
2×associate-*l/
1×flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-- distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 22
Calls
1 calls:
18.0ms
(* (- 1.0 y) x)

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(* (- 1.0 y) x)

simplify4.6s

Counts
25 → 25
Iterations
IterNodes
done5001
34948
2437
1109
048

prune89.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 y))
0.0b
(sqrt (- 1.0 y))
0.1b
(* x (sqrt (- 1.0 y)))
0.1b
(* (sqrt (- 1.0 y)) (* x (sqrt (- 1.0 y))))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×sqrt-prod
19×*-un-lft-identity
18×sqrt-div
13×pow1
11×add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
10×associate-*r/
9×flip3-- associate-*r* flip--
4×frac-times pow-prod-down prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
6.0ms
(sqrt (- 1.0 y))
6.0ms
(sqrt (- 1.0 y))
23.0ms
(* x (sqrt (- 1.0 y)))
62.0ms
(* (sqrt (- 1.0 y)) (* x (sqrt (- 1.0 y))))

series219.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(sqrt (- 1.0 y))
43.0ms
(sqrt (- 1.0 y))
83.0ms
(* x (sqrt (- 1.0 y)))
47.0ms
(* (sqrt (- 1.0 y)) (* x (sqrt (- 1.0 y))))

simplify676.0ms

Counts
103 → 103
Iterations
IterNodes
done5001
21203
1339
0137

prune480.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (* (sqrt (- (pow 1.0 3) (pow y 3))) x) (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))))
1.9b
(* (sqrt (- (pow 1.0 3) (pow y 3))) x)
5.9b
(sqrt (- (pow 1.0 3) (pow y 3)))
9.9b
(sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

rewrite261.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
60×sqrt-prod
33×*-un-lft-identity
32×difference-of-squares
28×associate-*l*
24×unpow-prod-down cube-prod
16×sqr-pow
13×add-cube-cbrt
11×add-cbrt-cube add-exp-log
10×sqrt-div distribute-lft-out--
8×pow1
6×associate-/r* times-frac
4×associate-*l/ add-log-exp
3×flip3-- associate-*r* flip--
2×difference-cubes cbrt-undiv rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 div-exp prod-exp associate-/r/ cbrt-unprod flip-+ unswap-sqr associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l*
Counts
4 → 129
Calls
4 calls:
65.0ms
(/ (* (sqrt (- (pow 1.0 3) (pow y 3))) x) (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))))
109.0ms
(* (sqrt (- (pow 1.0 3) (pow y 3))) x)
48.0ms
(sqrt (- (pow 1.0 3) (pow y 3)))
30.0ms
(sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

series484.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(/ (* (sqrt (- (pow 1.0 3) (pow y 3))) x) (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))))
86.0ms
(* (sqrt (- (pow 1.0 3) (pow y 3))) x)
82.0ms
(sqrt (- (pow 1.0 3) (pow y 3)))
89.0ms
(sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

simplify1.3s

Counts
141 → 141
Iterations
IterNodes
done5000
22635
1586
0248

prune942.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample605.0ms

Algorithm
intervals
Results
287.0ms9181×body80valid