Details

Time bar (total: 16.8s)

sample179.0ms

Algorithm
intervals
Results
146.0ms638×body80valid

simplify911.0ms

Counts
1 → 1
Iterations
IterNodes
done2009
42009
3785
2201
158
019

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

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)

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
17×pow1 add-exp-log
16×add-sqr-sqrt add-cbrt-cube
14×*-un-lft-identity
12×add-cube-cbrt
10×associate-*r*
7×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod
6×prod-diff
5×associate-*l*
4×expm1-log1p-u flip3-+ frac-add flip-+ insert-posit16 log1p-expm1-u 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 → 111
Calls
4 calls:
77.0ms
(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
25.0ms
(* (* a a) (+ 1 a))
29.0ms
(* (* b b) (- 1 (* 3 a)))
9.0ms
(pow (+ (* a a) (* b b)) 2)

series218.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
63.0ms
(* (* a a) (+ 1 a))
54.0ms
(* (* b b) (- 1 (* 3 a)))
37.0ms
(pow (+ (* a a) (* b b)) 2)

simplify1.2s

Counts
123 → 123
Iterations
IterNodes
done2002
22002
1797
0231

prune765.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize65.0ms

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))))))

rewrite320.0ms

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×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 log1p-expm1-u 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 → 136
Calls
4 calls:
177.0ms
(* (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))))))
41.0ms
(cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
49.0ms
(cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))

series829.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(* (cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))))
201.0ms
(cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
171.0ms
(cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
229.0ms
(cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))

simplify1.1s

Counts
148 → 148
Iterations
IterNodes
done2002
22002
1722
0262

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize65.0ms

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))

rewrite114.0ms

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×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 136
Calls
4 calls:
74.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
11.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))
12.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))
14.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))

series511.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
117.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))
148.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))
118.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))

simplify1.0s

Counts
148 → 148
Iterations
IterNodes
done2022
42022
31423
2598
1258
0126

prune1.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize76.0ms

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))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×unpow-prod-down
4×expm1-log1p-u pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×flip3-+ flip-+ unpow2 sqr-pow
Counts
4 → 70
Calls
4 calls:
4.0ms
(cbrt (+ (* a a) (* b b)))
4.0ms
(cbrt (+ (* a a) (* b b)))
7.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))
7.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))

series444.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(cbrt (+ (* a a) (* b b)))
111.0ms
(cbrt (+ (* a a) (* b b)))
111.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))
113.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))

simplify750.0ms

Counts
82 → 82
Iterations
IterNodes
done2000
32000
2541
1203
091

prune616.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes338.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done33
133
022

end0.0ms

sample4.6s

Algorithm
intervals
Results
4.3s20446×body80valid