Details

Time bar (total: 15.8s)

sample183.0ms

Algorithm
intervals
Results
86.0ms845×body80nan
10.0ms255×body80valid
0.0ms1×body160valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
197
2107
done107

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite48.0ms

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))

series88.0ms

Counts
1 → 3
Calls
1 calls:
88.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify3.1s

Counts
37 → 37
Iterations

Useful iterations: done (3.1s)

IterNodesCost
083387
1181354
2435338
3983335
42401334
done5001332

prune103.0ms

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 (+ 0.5 (/ 0.125 x)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity add-log-exp
3×add-sqr-sqrt
2×diff-log distribute-lft-out--
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- sum-log add-cbrt-cube flip-- distribute-lft-out associate--r+ difference-of-squares
Counts
1 → 17
Calls
1 calls:
52.0ms
(- x (+ 0.5 (/ 0.125 x)))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(- x (+ 0.5 (/ 0.125 x)))

simplify3.1s

Counts
20 → 20
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
042229
1102220
2261200
3885200
43740200
done5002200

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
78.0ms
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
8.0ms
(cbrt (- x 1.0))
9.0ms
(cbrt (- x 1.0))
4.0ms
(cbrt (- x 1.0))

series579.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
128.0ms
(cbrt (- x 1.0))
128.0ms
(cbrt (- x 1.0))
112.0ms
(cbrt (- x 1.0))

simplify2.1s

Counts
113 → 113
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01671563
13701421
29471353
325031256
done50011243

prune507.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

32.0b
(sqrt (* x (- x 1.0)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1
2×sqrt-pow1 sqrt-div associate-*r/
1×add-exp-log add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity pow1/2 pow-prod-down sqrt-prod add-cbrt-cube flip-- add-log-exp
Counts
1 → 13
Calls
1 calls:
8.0ms
(sqrt (* x (- x 1.0)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(sqrt (* x (- x 1.0)))

simplify3.8s

Counts
16 → 16
Iterations

Useful iterations: 4 (547.0ms)

IterNodesCost
051154
1113138
2252128
3564126
41365125
53387125
done5001125

prune29.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample1.9s

Algorithm
intervals
Results
887.0ms24167×body80nan
239.0ms7990×body80valid
1.0ms10×body160valid