Details

Time bar (total: 17.2s)

sample119.0ms

Algorithm
intervals
Results
82.0ms658×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5000
41428
3452
2154
151
018

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize59.0ms

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)
1.8b
(* (* b b) (+ 3.0 a))

rewrite166.0ms

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×pow-unpow unpow-prod-down
2×associate-+r+ sub-neg flip3-+ associate-*l* *-commutative flip-+ unswap-sqr
1×pow-to-exp +-commutative sum-log pow-pow flip3-- pow-exp flip-- distribute-lft-out distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 81
Calls
4 calls:
53.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
39.0ms
(* (* a a) (- 1.0 a))
15.0ms
(pow (+ (* a a) (* b b)) 2.0)
56.0ms
(* (* b b) (+ 3.0 a))

series433.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
78.0ms
(* (* a a) (- 1.0 a))
133.0ms
(pow (+ (* a a) (* b b)) 2.0)
46.0ms
(* (* b b) (+ 3.0 a))

simplify2.6s

Counts
93 → 93
Iterations
IterNodes
done5000
23803
1558
0179

prune632.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize84.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (* b b) (+ 3.0 a))
1.8b
(* (* b b) (+ 3.0 a))
9.7b
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
9.7b
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
14×add-cbrt-cube add-exp-log
12×add-sqr-sqrt *-un-lft-identity
8×associate-*r* add-cube-cbrt
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:
28.0ms
(* (* b b) (+ 3.0 a))
24.0ms
(* (* b b) (+ 3.0 a))
74.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
59.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

series578.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* b b) (+ 3.0 a))
43.0ms
(* (* b b) (+ 3.0 a))
276.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
219.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

simplify1.4s

Counts
90 → 90
Iterations
IterNodes
done5000
22082
1332
0115

prune655.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize98.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (* b b) (+ 3.0 a))
9.7b
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
9.7b
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
9.7b
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt pow1
10×*-un-lft-identity
9×add-cbrt-cube add-exp-log sqrt-prod
8×add-cube-cbrt
6×sqrt-div
4×flip3-+ associate-*r* flip-+ add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×distribute-rgt-in distribute-lft-in associate-*l* *-commutative distribute-lft-out unswap-sqr
Counts
4 → 69
Calls
4 calls:
25.0ms
(* (* b b) (+ 3.0 a))
47.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
48.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
49.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

series881.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* b b) (+ 3.0 a))
469.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
188.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
188.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

simplify1.2s

Counts
81 → 81
Iterations
IterNodes
done5000
22082
1332
0115

prune537.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize105.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (* b b) (+ 3.0 a))
9.7b
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
9.7b
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
9.7b
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt pow1
10×*-un-lft-identity
9×add-cbrt-cube add-exp-log sqrt-prod
8×add-cube-cbrt
6×sqrt-div
4×flip3-+ associate-*r* flip-+ add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×distribute-rgt-in distribute-lft-in associate-*l* *-commutative distribute-lft-out unswap-sqr
Counts
4 → 69
Calls
4 calls:
25.0ms
(* (* b b) (+ 3.0 a))
48.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
47.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
49.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

series601.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (* b b) (+ 3.0 a))
190.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
187.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
188.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

simplify1.2s

Counts
81 → 81
Iterations
IterNodes
done5000
22082
1332
0115

prune530.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes323.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done27
127
020

end0.0ms

sample2.6s

Algorithm
intervals
Results
2.1s20454×body80valid