Details

Time bar (total: 27.0s)

sample46.0ms

Algorithm
intervals
Results
23.0ms332×body80valid

simplify54.0ms

Counts
1 → 1
Iterations
IterNodes
done21
421
320
216
111
06

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (- (* x x) 3.0) 6.0)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×times-frac
10×*-un-lft-identity add-cube-cbrt
4×associate-/l* difference-of-squares
3×associate-/r* add-cbrt-cube add-exp-log
2×associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 35
Calls
1 calls:
61.0ms
(/ (- (* x x) 3.0) 6.0)

series93.0ms

Counts
1 → 3
Calls
1 calls:
93.0ms
(/ (- (* x x) 3.0) 6.0)

simplify3.1s

Counts
38 → 38
Iterations
IterNodes
done5001
31487
2451
1178
079

prune403.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize48.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (- (* x x) 3.0) (/ 1 6.0))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×*-un-lft-identity add-exp-log
9×add-cube-cbrt
6×add-cbrt-cube
4×associate-*l* prod-exp
3×pow1 unswap-sqr
2×frac-times flip3-- div-exp associate-*l/ cbrt-unprod flip--
1×cbrt-undiv rec-exp 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative insert-posit16 div-inv add-log-exp difference-of-squares
Counts
1 → 42
Calls
1 calls:
75.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

series118.0ms

Counts
1 → 3
Calls
1 calls:
118.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

simplify5.3s

Counts
45 → 45
Iterations
IterNodes
done5000
32295
2748
1263
0102

prune429.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
0.2b
(cbrt (- (* x x) 3.0))
0.2b
(cbrt (- (* x x) 3.0))
0.2b
(cbrt (- (* x x) 3.0))

rewrite283.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
30×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-- pow1/3 flip--
7×swap-sqr associate-*r* associate-*l* difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 97
Calls
4 calls:
193.0ms
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
19.0ms
(cbrt (- (* x x) 3.0))
30.0ms
(cbrt (- (* x x) 3.0))
27.0ms
(cbrt (- (* x x) 3.0))

series1.3s

Counts
4 → 12
Calls
4 calls:
370.0ms
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
293.0ms
(cbrt (- (* x x) 3.0))
322.0ms
(cbrt (- (* x x) 3.0))
338.0ms
(cbrt (- (* x x) 3.0))

simplify5.7s

Counts
109 → 109
Iterations
IterNodes
done5001
32693
2930
1358
0158

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize91.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (sqrt 3.0))
0.0b
(- x (sqrt 3.0))
0.1b
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
0.7b
(/ 6.0 (- x (sqrt 3.0)))

rewrite270.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
182×*-un-lft-identity
170×add-sqr-sqrt
90×add-cube-cbrt
40×difference-of-squares
30×associate-/r*
26×distribute-lft-out
20×sqrt-prod distribute-lft-out--
13×associate-/r/
11×add-cbrt-cube add-exp-log
8×add-log-exp
7×flip3-- div-inv flip-- associate-/l*
4×pow1 cbrt-undiv div-exp insert-posit16
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×+-commutative sum-log sub-neg diff-log
Counts
4 → 213
Calls
4 calls:
29.0ms
(+ x (sqrt 3.0))
30.0ms
(- x (sqrt 3.0))
108.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
52.0ms
(/ 6.0 (- x (sqrt 3.0)))

series487.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(+ x (sqrt 3.0))
75.0ms
(- x (sqrt 3.0))
245.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
108.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify5.1s

Counts
225 → 225
Iterations
IterNodes
done5004
22349
1666
0257

prune1.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes296.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample924.0ms

Algorithm
intervals
Results
683.0ms10712×body80valid