Details

Time bar (total: 18.0s)

sample156.0ms

Algorithm
intervals
Results
128.0ms638×body80valid

simplify987.0ms

Counts
1 → 1
Iterations
IterNodes
done2010
42010
3748
2187
156
019

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
0.1b
(* (* a a) (+ 1 a))
0.3b
(* (* b b) (- 1 (* 3 a)))
0.3b
(pow (+ (* a a) (* b b)) 2)

rewrite208.0ms

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×associate-*r* add-cube-cbrt
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×distribute-rgt-in distribute-lft-in flip3-+ frac-add flip-+ insert-posit16 add-log-exp
3×pow-unpow unpow-prod-down flip3-- *-commutative flip-- unswap-sqr
2×sub-neg
1×pow-to-exp pow-pow pow-exp distribute-lft-out unpow2 sqr-pow
Counts
4 → 97
Calls
4 calls:
109.0ms
(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
38.0ms
(* (* a a) (+ 1 a))
44.0ms
(* (* b b) (- 1 (* 3 a)))
14.0ms
(pow (+ (* a a) (* b b)) 2)

series235.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
54.0ms
(* (* a a) (+ 1 a))
51.0ms
(* (* b b) (- 1 (* 3 a)))
56.0ms
(pow (+ (* a a) (* b b)) 2)

simplify1.0s

Counts
109 → 109
Iterations
IterNodes
done2005
22005
1719
0205

prune554.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize88.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))))
9.5b
(cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
9.5b
(cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
9.5b
(cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))

rewrite315.0ms

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×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×associate-*l/ add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 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 → 128
Calls
4 calls:
185.0ms
(* (cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))))
48.0ms
(cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
35.0ms
(cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
43.0ms
(cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))

series688.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))))
160.0ms
(cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
155.0ms
(cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
169.0ms
(cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))

simplify1.4s

Counts
140 → 140
Iterations
IterNodes
done2002
22002
1693
0258

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize72.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
19.8b
(cbrt (pow (+ (* a a) (* b b)) 2))
19.8b
(cbrt (pow (+ (* a a) (* b b)) 2))
19.8b
(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod
52×add-sqr-sqrt
31×unpow-prod-down
25×unswap-sqr
22×*-un-lft-identity add-cube-cbrt
17×unpow2 sqr-pow
11×pow1 swap-sqr associate-*r* associate-*l*
9×pow1/3
6×add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 128
Calls
4 calls:
87.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
11.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))
7.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))
8.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))

series584.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
149.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))
150.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))
122.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))

simplify1.1s

Counts
140 → 140
Iterations
IterNodes
done2004
42004
31482
2556
1251
0122

prune1.2s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

9.6b
(cbrt (+ (* a a) (* b b)))
9.6b
(cbrt (+ (* a a) (* b b)))
19.8b
(cbrt (pow (+ (* a a) (* b b)) 2))
19.8b
(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×unpow-prod-down
4×pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
2×flip3-+ flip-+ unpow2 sqr-pow
Counts
4 → 62
Calls
4 calls:
6.0ms
(cbrt (+ (* a a) (* b b)))
6.0ms
(cbrt (+ (* a a) (* b b)))
11.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))
19.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))

series458.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(cbrt (+ (* a a) (* b b)))
112.0ms
(cbrt (+ (* a a) (* b b)))
101.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))
128.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))

simplify1.1s

Counts
74 → 74
Iterations
IterNodes
done2065
42065
31800
2500
1191
087

prune595.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes305.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done33
133
022

end0.0ms

sample5.2s

Algorithm
intervals
Results
4.8s20446×body80valid