Details

Time bar (total: 7.6s)

sample133.0ms

Algorithm
intervals
Results
61.0ms681×body80nan
7.0ms256×body80valid

simplify4.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (sqrt (- x 1.0)) (sqrt x))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×sqrt-prod
8×associate-*l*
7×*-un-lft-identity
6×associate-*r*
5×pow1 add-cube-cbrt
4×unswap-sqr
3×add-exp-log pow-prod-down add-cbrt-cube
2×sqrt-pow1 pow1/2 sqrt-div associate-*l/
1×flip3-- sqrt-unprod prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 34
Calls
1 calls:
46.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series113.0ms

Counts
1 → 3
Calls
1 calls:
113.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify142.0ms

Counts
37 → 37

prune111.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (/ 1.0 8.0) (/ 1 x))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
25×times-frac
23×add-exp-log
17×*-un-lft-identity
15×add-cube-cbrt
13×associate-*r* associate-*l* add-cbrt-cube
8×div-exp prod-exp
6×unswap-sqr
4×cbrt-undiv cbrt-unprod
3×pow1
2×rec-exp 1-exp div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative add-log-exp
Counts
1 → 57
Calls
1 calls:
47.0ms
(* (/ 1.0 8.0) (/ 1 x))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(* (/ 1.0 8.0) (/ 1 x))

simplify43.0ms

Counts
60 → 60

prune152.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (+ (sqrt x) (sqrt 1.0)))
0.1b
(sqrt (- (sqrt x) (sqrt 1.0)))
0.3b
(* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))
0.3b
(* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
51×sqrt-prod
38×add-sqr-sqrt
28×*-un-lft-identity
20×associate-*l*
18×pow1 sqrt-div
12×add-cube-cbrt
11×add-exp-log add-cbrt-cube
10×pow-prod-down associate-*l/
8×difference-of-squares
7×sqrt-pow1 pow1/2 associate-*r*
5×flip3-- flip--
4×frac-times flip3-+ prod-exp cbrt-unprod flip-+ distribute-lft-out distribute-lft-out-- add-log-exp unswap-sqr
3×sqrt-unprod
2×rem-sqrt-square associate-*r/ *-commutative
Counts
4 → 110
Calls
4 calls:
30.0ms
(sqrt (+ (sqrt x) (sqrt 1.0)))
33.0ms
(sqrt (- (sqrt x) (sqrt 1.0)))
120.0ms
(* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))
51.0ms
(* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))

series2.1s

Counts
4 → 12
Calls
4 calls:
152.0ms
(sqrt (+ (sqrt x) (sqrt 1.0)))
228.0ms
(sqrt (- (sqrt x) (sqrt 1.0)))
1.2s
(* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))
498.0ms
(* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))

simplify91.0ms

Counts
122 → 122

prune495.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

31.0b
(pow (* (- x 1.0) x) 1/2)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log
3×pow-unpow
2×add-sqr-sqrt add-cube-cbrt pow-pow *-un-lft-identity pow-exp
1×pow-to-exp unpow-prod-down pow-prod-down prod-exp add-cbrt-cube unpow1/2 add-log-exp sqr-pow
Counts
1 → 18
Calls
1 calls:
12.0ms
(pow (* (- x 1.0) x) 1/2)

series109.0ms

Counts
1 → 3
Calls
1 calls:
109.0ms
(pow (* (- x 1.0) x) 1/2)

simplify52.0ms

Counts
21 → 21

prune56.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify99.0ms

end0.0ms

sample3.4s

Algorithm
intervals
Results
2.2s24345×body80nan
399.0ms7991×body80valid
1.0ms9×body160valid