Details

Time bar (total: 14.9s)

sample32.0ms

Algorithm
intervals
Results
14.0ms337×body80valid

simplify43.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2177
3217
4237
5247
done247

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) 3.0)
0.3b
(/ (- (* x x) 3.0) 6.0)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity times-frac
5×difference-of-squares
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
3×prod-diff associate-/r*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 55
Calls
2 calls:
18.0ms
(- (* x x) 3.0)
52.0ms
(/ (- (* x x) 3.0) 6.0)

series212.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(- (* x x) 3.0)
140.0ms
(/ (- (* x x) 3.0) 6.0)

simplify1.2s

Counts
61 → 61
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0109680
1272634
21011572
done5001570

prune327.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.3b
(* 0.16666666666666666 (pow x 2))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×associate-*r*
6×add-exp-log
4×add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
3×associate-*l* prod-exp add-cbrt-cube
2×unpow2 sqr-pow
1×pow1 expm1-log1p-u pow-to-exp pow-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 29
Calls
1 calls:
24.0ms
(* 0.16666666666666666 (pow x 2))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(* 0.16666666666666666 (pow x 2))

simplify4.4s

Counts
32 → 32
Iterations

Useful iterations: done (4.4s)

IterNodesCost
053244
1117221
2432188
32931188
done5001185

prune166.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (sqrt 0.16666666666666666) (pow x 2))
0.4b
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×add-exp-log
12×associate-*l*
10×prod-exp sqrt-prod
9×associate-*r* add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity unswap-sqr
5×unpow-prod-down
4×pow1 cbrt-unprod
3×unpow2 sqr-pow
2×expm1-log1p-u pow-to-exp pow-exp *-commutative log1p-expm1-u add-log-exp
1×pow-prod-down
Counts
2 → 60
Calls
2 calls:
38.0ms
(* (sqrt 0.16666666666666666) (pow x 2))
61.0ms
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))

series240.0ms

Counts
2 → 6
Calls
2 calls:
103.0ms
(* (sqrt 0.16666666666666666) (pow x 2))
138.0ms
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))

simplify1.2s

Counts
66 → 66
Iterations

Useful iterations: done (1.2s)

IterNodesCost
078685
1186610
21002473
done5001455

prune324.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

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)))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
196×*-un-lft-identity
184×add-sqr-sqrt
104×add-cube-cbrt
40×difference-of-squares
30×associate-/r*
29×sqrt-prod
26×distribute-lft-out
20×distribute-lft-out--
18×prod-diff
13×associate-/r/
11×add-exp-log add-cbrt-cube
8×add-log-exp
7×flip3-- flip-- div-inv associate-/l*
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
3×fma-def fma-neg
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 241
Calls
4 calls:
15.0ms
(+ x (sqrt 3.0))
22.0ms
(- x (sqrt 3.0))
81.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
31.0ms
(/ 6.0 (- x (sqrt 3.0)))

series597.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(+ x (sqrt 3.0))
75.0ms
(- x (sqrt 3.0))
320.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
129.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify3.5s

Counts
253 → 253
Iterations

Useful iterations: done (3.5s)

IterNodesCost
03034687
17804232
243123953
done50003949

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11111
done1111

end0.0ms

sample940.0ms

Algorithm
intervals
Results
590.0ms10764×body80valid