Details

Time bar (total: 11.5s)

sample29.0ms

Algorithm
intervals
Results
15.0ms336×body80valid

simplify17.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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 div-inv flip-- add-log-exp
Counts
1 → 34
Calls
1 calls:
24.0ms
(/ (- (* x x) 3.0) 6.0)

series121.0ms

Counts
1 → 3
Calls
1 calls:
121.0ms
(/ (- (* x x) 3.0) 6.0)

simplify2.2s

Counts
37 → 37
Iterations
IterNodes
done5000
33845
2626
1182
078

prune553.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
46×*-un-lft-identity
37×times-frac
26×add-cube-cbrt
22×associate-*r*
16×difference-of-squares
11×add-cbrt-cube add-exp-log
8×sqrt-prod distribute-lft-out-- add-log-exp
6×pow1 associate-/l*
4×associate-*l*
3×associate-/r* flip3-+ flip-+
2×frac-times cbrt-undiv flip3-- div-exp associate-*l/ prod-exp cbrt-unprod div-inv flip-- distribute-lft-out unswap-sqr associate-/l/
1×+-commutative clear-num sum-log sub-neg frac-2neg diff-log div-sub pow-prod-down associate-*r/ *-commutative
Counts
4 → 115
Calls
4 calls:
21.0ms
(/ (- x (sqrt 3.0)) 6.0)
5.0ms
(- x (sqrt 3.0))
5.0ms
(+ x (sqrt 3.0))
52.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series418.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(/ (- x (sqrt 3.0)) 6.0)
58.0ms
(- x (sqrt 3.0))
64.0ms
(+ x (sqrt 3.0))
223.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify1.3s

Counts
127 → 127
Iterations
IterNodes
done5001
22331
1370
0142

prune585.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

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))))
0.6b
(/ 6.0 (- x (sqrt 3.0)))

rewrite75.0ms

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
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×+-commutative sum-log sub-neg diff-log
Counts
4 → 209
Calls
4 calls:
5.0ms
(- x (sqrt 3.0))
5.0ms
(+ x (sqrt 3.0))
30.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
22.0ms
(/ 6.0 (- x (sqrt 3.0)))

series446.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(- x (sqrt 3.0))
50.0ms
(+ x (sqrt 3.0))
270.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
73.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify1.5s

Counts
221 → 221
Iterations
IterNodes
done5000
23897
1664
0253

prune820.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- x (sqrt 3.0)))
0.2b
(cbrt (- x (sqrt 3.0)))
0.2b
(cbrt (- x (sqrt 3.0)))
0.8b
(* (cbrt (- x (sqrt 3.0))) (cbrt (- x (sqrt 3.0))))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
54×cbrt-prod
35×*-un-lft-identity
18×cbrt-div difference-of-squares
15×add-cube-cbrt
13×swap-sqr
11×pow1
9×flip3-- pow1/3 associate-*r* associate-*l* sqrt-prod flip-- distribute-lft-out--
6×add-exp-log
4×frac-times add-cbrt-cube 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 → 109
Calls
4 calls:
9.0ms
(cbrt (- x (sqrt 3.0)))
8.0ms
(cbrt (- x (sqrt 3.0)))
9.0ms
(cbrt (- x (sqrt 3.0)))
84.0ms
(* (cbrt (- x (sqrt 3.0))) (cbrt (- x (sqrt 3.0))))

series870.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(cbrt (- x (sqrt 3.0)))
206.0ms
(cbrt (- x (sqrt 3.0)))
150.0ms
(cbrt (- x (sqrt 3.0)))
300.0ms
(* (cbrt (- x (sqrt 3.0))) (cbrt (- x (sqrt 3.0))))

simplify775.0ms

Counts
121 → 121
Iterations
IterNodes
done5001
21534
1411
0169

prune670.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes171.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample562.0ms

Algorithm
intervals
Results
393.0ms10659×body80valid