Details

Time bar (total: 10.9s)

sample26.0ms

Algorithm
intervals
Results
12.0ms374×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5000
91258
8482
7248
6176
5157
4150
390
235
113
07

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube prod-diff add-exp-log
5×distribute-rgt-in add-sqr-sqrt distribute-lft-in
4×*-un-lft-identity add-cube-cbrt
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative log1p-expm1-u flip-- add-log-exp unswap-sqr
Counts
1 → 33
Calls
1 calls:
32.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series109.0ms

Counts
1 → 3
Calls
1 calls:
109.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify1.4s

Counts
36 → 36
Iterations
IterNodes
done5001
21762
1236
077

prune169.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (- (pow x 3)))
0.1b
(fma x (* x 3.0) (* 2.0 (- (pow x 3))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
28×associate-*r*
12×distribute-lft-neg-in add-sqr-sqrt distribute-rgt-neg-in
10×*-un-lft-identity add-cube-cbrt
6×unpow-prod-down cube-prod
4×pow1 add-cbrt-cube add-exp-log
3×associate-*l*
2×expm1-log1p-u cube-mult unpow3 log1p-expm1-u add-log-exp sqr-pow
1×neg-mul-1 pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod fma-udef unswap-sqr
Counts
2 → 56
Calls
2 calls:
24.0ms
(* 2.0 (- (pow x 3)))
0.0ms
(fma x (* x 3.0) (* 2.0 (- (pow x 3))))

series234.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(* 2.0 (- (pow x 3)))
154.0ms
(fma x (* x 3.0) (* 2.0 (- (pow x 3))))

simplify535.0ms

Counts
62 → 62
Iterations
IterNodes
done5000
2916
1231
095

prune298.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* x x) 3.0) (* 2.0 (- (pow x 3))))
0.0b
(* 2.0 (- (pow x 3)))
0.2b
(* (* x x) 3.0)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
31×associate-*r*
15×add-sqr-sqrt
12×distribute-lft-neg-in distribute-rgt-neg-in *-un-lft-identity add-cube-cbrt
10×pow1 add-cbrt-cube add-exp-log
6×unpow-prod-down cube-prod
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u distribute-rgt-neg-out log1p-expm1-u
2×cube-mult unpow3 *-commutative unswap-sqr sqr-pow
1×+-commutative neg-mul-1 sum-log fma-def flip3-+ unsub-neg flip-+
Counts
3 → 83
Calls
3 calls:
18.0ms
(+ (* (* x x) 3.0) (* 2.0 (- (pow x 3))))
31.0ms
(* 2.0 (- (pow x 3)))
30.0ms
(* (* x x) 3.0)

series261.0ms

Counts
3 → 9
Calls
3 calls:
138.0ms
(+ (* (* x x) 3.0) (* 2.0 (- (pow x 3))))
82.0ms
(* 2.0 (- (pow x 3)))
42.0ms
(* (* x x) 3.0)

simplify2.3s

Counts
92 → 92
Iterations
IterNodes
done5002
22416
1388
0134

prune449.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (pow x 2))
0.3b
(* (sqrt (* 3.0 (pow x 2))) (sqrt (* 3.0 (pow x 2))))
21.3b
(sqrt (* 3.0 (pow x 2)))
21.3b
(sqrt (* 3.0 (pow x 2)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1
19×add-sqr-sqrt
12×associate-*r*
11×*-un-lft-identity add-exp-log add-cube-cbrt
10×sqrt-pow1 pow1/2
8×add-cbrt-cube
7×associate-*l*
6×sqrt-prod
5×pow-prod-up unswap-sqr
4×expm1-log1p-u unpow-prod-down swap-sqr prod-exp log1p-expm1-u add-log-exp
3×pow-prod-down pow-sqr
2×*-commutative cbrt-unprod unpow2 sqr-pow
1×pow2 pow-to-exp rem-square-sqrt pow-plus sqrt-unprod pow-exp
Counts
4 → 93
Calls
4 calls:
10.0ms
(* 3.0 (pow x 2))
49.0ms
(* (sqrt (* 3.0 (pow x 2))) (sqrt (* 3.0 (pow x 2))))
5.0ms
(sqrt (* 3.0 (pow x 2)))
9.0ms
(sqrt (* 3.0 (pow x 2)))

series289.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* 3.0 (pow x 2))
125.0ms
(* (sqrt (* 3.0 (pow x 2))) (sqrt (* 3.0 (pow x 2))))
49.0ms
(sqrt (* 3.0 (pow x 2)))
69.0ms
(sqrt (* 3.0 (pow x 2)))

simplify1.0s

Counts
105 → 105
Iterations
IterNodes
done5000
21189
1238
0100

prune586.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes44.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done18
318
217
113
09

end0.0ms

sample855.0ms

Algorithm
intervals
Results
589.0ms11977×body80valid