Details

Time bar (total: 23.1s)

sample84.0ms

Algorithm
intervals
Results
49.0ms709×body80valid

simplify5.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01931
15331
216031
345131
4122331
5246931
6461831
done500131

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b
(* (* a a) (+ 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.4b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite283.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
17×pow1 add-exp-log
16×add-cbrt-cube
14×add-sqr-sqrt
12×*-un-lft-identity
10×add-cube-cbrt associate-*r*
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×distribute-rgt-in distribute-lft-in flip3-+ frac-add flip-+ add-log-exp
3×unpow-prod-down pow-unpow flip3-- *-commutative flip-- unswap-sqr
2×sub-neg
1×pow-to-exp pow-pow pow-exp distribute-lft-out sqr-pow
Counts
4 → 92
Calls
4 calls:
135.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
63.0ms
(* (* a a) (+ 1.0 a))
24.0ms
(pow (+ (* a a) (* b b)) 2.0)
58.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series375.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
63.0ms
(* (* a a) (+ 1.0 a))
125.0ms
(pow (+ (* a a) (* b b)) 2.0)
71.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify2.0s

Counts
104 → 104
Iterations

Useful iterations: 2 (745.0ms)

IterNodesCost
02121719
16321608
226941456
done50001456

prune442.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (+ (* a (* a (+ 1.0 a))) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b
(* a (* a (+ 1.0 a)))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.4b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite223.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*r/
17×pow1 add-exp-log
16×add-cbrt-cube
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
7×distribute-rgt-in distribute-lft-in associate-*r* associate-*l* pow-prod-down prod-exp cbrt-unprod
4×flip3-+ frac-add flip-+ add-log-exp
3×unpow-prod-down pow-unpow flip3-- *-commutative flip--
2×sub-neg unswap-sqr
1×pow-to-exp pow-pow pow-exp sqr-pow
Counts
4 → 92
Calls
4 calls:
142.0ms
(* 4.0 (+ (* a (* a (+ 1.0 a))) (* (* b b) (- 1.0 (* 3.0 a)))))
27.0ms
(* a (* a (+ 1.0 a)))
13.0ms
(pow (+ (* a a) (* b b)) 2.0)
36.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series394.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* 4.0 (+ (* a (* a (+ 1.0 a))) (* (* b b) (- 1.0 (* 3.0 a)))))
68.0ms
(* a (* a (+ 1.0 a)))
168.0ms
(pow (+ (* a a) (* b b)) 2.0)
69.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify1.9s

Counts
104 → 104
Iterations

Useful iterations: 2 (633.0ms)

IterNodesCost
02141717
16331616
225371454
done50011454

prune449.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* b b) (- 1.0 (* 3.0 a)))
25.5b
(cbrt (* (* b b) (- 1.0 (* 3.0 a))))
25.5b
(cbrt (* (* b b) (- 1.0 (* 3.0 a))))
25.5b
(cbrt (* (* b b) (- 1.0 (* 3.0 a))))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r/
6×add-sqr-sqrt cbrt-div
5×add-cube-cbrt *-un-lft-identity
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in
1×associate-*l* *-commutative unswap-sqr
Counts
4 → 58
Calls
4 calls:
37.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
24.0ms
(cbrt (* (* b b) (- 1.0 (* 3.0 a))))
30.0ms
(cbrt (* (* b b) (- 1.0 (* 3.0 a))))
25.0ms
(cbrt (* (* b b) (- 1.0 (* 3.0 a))))

series786.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
219.0ms
(cbrt (* (* b b) (- 1.0 (* 3.0 a))))
242.0ms
(cbrt (* (* b b) (- 1.0 (* 3.0 a))))
244.0ms
(cbrt (* (* b b) (- 1.0 (* 3.0 a))))

simplify3.2s

Counts
70 → 70
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01401642
13561601
211111463
340201241
done50021157

prune428.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))) (cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))))
10.3b
(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
10.3b
(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
10.3b
(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))

rewrite331.0ms

Algorithm
rewrite-expression-head
Rules
244×associate-*r/
102×cbrt-div
68×frac-add
51×flip3-+ flip-+
36×frac-times
34×flip3-- flip--
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log associate-*l/
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 124
Calls
4 calls:
155.0ms
(* (cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))) (cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))))
48.0ms
(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
58.0ms
(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
44.0ms
(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
273.0ms
(* (cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))) (cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))))
234.0ms
(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
267.0ms
(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
265.0ms
(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))

simplify1.9s

Counts
136 → 136
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02769539
16878802
225938324
done50028029

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes119.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02354
13354
done3354

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.3s20533×body80valid