Details

Time bar (total: 18.9s)

sample124.0ms

Algorithm
intervals
Results
101.0ms638×body80valid

simplify954.0ms

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize60.0ms

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)

rewrite177.0ms

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:
101.0ms
(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
35.0ms
(* (* a a) (+ 1 a))
28.0ms
(* (* b b) (- 1 (* 3 a)))
12.0ms
(pow (+ (* a a) (* b b)) 2)

series257.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
73.0ms
(* (* a a) (+ 1 a))
60.0ms
(* (* b b) (- 1 (* 3 a)))
50.0ms
(pow (+ (* a a) (* b b)) 2)

simplify1.1s

Counts
123 → 123
Iterations
IterNodes
done2002
22002
1797
0231

prune674.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize68.0ms

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))))))

rewrite271.0ms

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:
166.0ms
(* (cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))))
29.0ms
(cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
31.0ms
(cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
41.0ms
(cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))

series736.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(* (cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))))
186.0ms
(cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
206.0ms
(cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
154.0ms
(cbrt (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))

simplify1.3s

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

localize81.0ms

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))

rewrite125.0ms

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:
78.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
14.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))
14.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))
15.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))

series689.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
175.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))
150.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))
178.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))

simplify1.1s

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

prune1.2s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize78.0ms

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))

rewrite36.0ms

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))
19.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))

series1.0s

Counts
4 → 12
Calls
4 calls:
526.0ms
(cbrt (+ (* a a) (* b b)))
157.0ms
(cbrt (+ (* a a) (* b b)))
182.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))
184.0ms
(cbrt (pow (+ (* a a) (* b b)) 2))

simplify1.1s

Counts
82 → 82
Iterations
IterNodes
done2000
32000
2541
1203
091

prune803.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes387.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done33
133
022

end0.0ms

sample5.3s

Algorithm
intervals
Results
4.8s20446×body80valid