Details

Time bar (total: 38.4s)

sample139.0ms

Algorithm
intervals
Results
98.0ms711×body80valid

simplify8.4s

Counts
1 → 1
Iterations
IterNodes
done5000
52955
41219
3420
2153
151
018

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize79.0ms

Local error

Found 4 expressions with local error:

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

rewrite283.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
4×distribute-rgt-in distribute-lft-in associate-*r/
3×unpow-prod-down pow-unpow
2×sub-neg associate-+r+ flip3-+ associate-*l* *-commutative flip-+ unswap-sqr
1×+-commutative pow-to-exp flip3-- pow-pow pow-exp sum-log flip-- distribute-lft-out distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 81
Calls
4 calls:
116.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
62.0ms
(* (* a a) (- 1.0 a))
25.0ms
(pow (+ (* a a) (* b b)) 2.0)
64.0ms
(* (* b b) (+ 3.0 a))

series612.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
121.0ms
(* (* a a) (- 1.0 a))
198.0ms
(pow (+ (* a a) (* b b)) 2.0)
71.0ms
(* (* b b) (+ 3.0 a))

simplify3.3s

Counts
93 → 93
Iterations
IterNodes
done5002
21941
1538
0179

prune894.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize89.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (* b b) (+ 3.0 a))
18.9b
(cbrt (* (* a a) (- 1.0 a)))
18.9b
(cbrt (* (* a a) (- 1.0 a)))
18.9b
(cbrt (* (* a a) (- 1.0 a)))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r/
7×*-un-lft-identity
6×add-sqr-sqrt cbrt-div
5×add-cube-cbrt
4×associate-*r* add-log-exp
3×cbrt-prod flip3-- pow1/3 pow-prod-down prod-exp flip-- cbrt-unprod
1×distribute-rgt-in distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
4 → 57
Calls
4 calls:
64.0ms
(* (* b b) (+ 3.0 a))
27.0ms
(cbrt (* (* a a) (- 1.0 a)))
22.0ms
(cbrt (* (* a a) (- 1.0 a)))
48.0ms
(cbrt (* (* a a) (- 1.0 a)))

series603.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (* b b) (+ 3.0 a))
183.0ms
(cbrt (* (* a a) (- 1.0 a)))
167.0ms
(cbrt (* (* a a) (- 1.0 a)))
189.0ms
(cbrt (* (* a a) (- 1.0 a)))

simplify2.4s

Counts
69 → 69
Iterations
IterNodes
done5000
21186
1344
0122

prune930.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize135.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (* b b) (+ 3.0 a))
1.0b
(* (* b b) (+ 3.0 a))
8.3b
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
8.3b
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

rewrite379.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
14×add-exp-log add-cbrt-cube
12×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt associate-*r*
6×pow-prod-down prod-exp sqrt-prod cbrt-unprod
4×flip3-+ sqrt-div associate-*r/ flip-+ add-log-exp
2×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 associate-*l* *-commutative distribute-lft-out unswap-sqr
Counts
4 → 78
Calls
4 calls:
56.0ms
(* (* b b) (+ 3.0 a))
64.0ms
(* (* b b) (+ 3.0 a))
128.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
128.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

series821.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (* b b) (+ 3.0 a))
78.0ms
(* (* b b) (+ 3.0 a))
329.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
351.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

simplify2.5s

Counts
90 → 90
Iterations
IterNodes
done5011
21351
1332
0115

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize193.0ms

Local error

Found 4 expressions with local error:

8.3b
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
8.8b
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
8.8b
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
8.8b
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

rewrite334.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×cbrt-div
5×pow1
4×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
3×pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 54
Calls
4 calls:
140.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
66.0ms
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
69.0ms
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
58.0ms
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

series1.6s

Counts
4 → 12
Calls
4 calls:
352.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
361.0ms
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
484.0ms
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
379.0ms
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

simplify5.4s

Counts
66 → 66
Iterations
IterNodes
done5000
33855
2829
1271
0114

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes934.0ms

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
done29
129
021

end0.0ms

sample6.0s

Algorithm
intervals
Results
5.2s20252×body80valid