Details

Time bar (total: 19.0s)

sample101.0ms

Algorithm
intervals
Results
66.0ms642×body80valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5000
41716
3492
2161
153
019

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize61.0ms

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) (- 1.0 (* 3.0 a))))))
0.1b
(* (* a a) (+ 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.8b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-cbrt-cube
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
7×associate-*r*
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 sqr-pow
Counts
4 → 79
Calls
4 calls:
85.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
26.0ms
(* (* a a) (+ 1.0 a))
14.0ms
(pow (+ (* a a) (* b b)) 2.0)
24.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series494.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
88.0ms
(* (* a a) (+ 1.0 a))
188.0ms
(pow (+ (* a a) (* b b)) 2.0)
62.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify2.9s

Counts
91 → 91
Iterations
IterNodes
done5000
23892
1552
0175

prune641.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (* (* b b) (- 1.0 (* 3.0 a))))
0.1b
(* (* a a) (* (+ a 1.0) 4.0))
0.3b
(pow (+ (pow b 2) (* a a)) 2.0)
0.8b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1 add-exp-log
30×add-cbrt-cube
17×pow-prod-down prod-exp cbrt-unprod
10×distribute-rgt-in distribute-lft-in
9×add-sqr-sqrt
8×*-un-lft-identity associate-*r/ add-cube-cbrt
6×sub-neg
5×associate-*r* associate-*l*
4×add-log-exp
3×pow-unpow unpow-prod-down *-commutative
2×flip3-- associate-*l/ flip--
1×pow-to-exp pow-pow flip3-+ pow-exp flip-+ unswap-sqr sqr-pow
Counts
4 → 97
Calls
4 calls:
62.0ms
(* 4.0 (* (* b b) (- 1.0 (* 3.0 a))))
34.0ms
(* (* a a) (* (+ a 1.0) 4.0))
15.0ms
(pow (+ (pow b 2) (* a a)) 2.0)
37.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series493.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* 4.0 (* (* b b) (- 1.0 (* 3.0 a))))
98.0ms
(* (* a a) (* (+ a 1.0) 4.0))
189.0ms
(pow (+ (pow b 2) (* a a)) 2.0)
107.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify2.3s

Counts
109 → 109
Iterations
IterNodes
done5001
23523
1572
0181

prune788.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize158.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (- 1.0 (* 3.0 a)) (pow b 2))
0.8b
(* (- 1.0 (* 3.0 a)) (pow b 2))
6.7b
(sqrt (+ (pow (+ (pow b 2) (* a a)) 2.0) (* 4.0 (+ (* (* a (+ 1.0 a)) a) (* (- 1.0 (* 3.0 a)) (pow b 2))))))
6.7b
(sqrt (+ (pow (+ (pow b 2) (* a a)) 2.0) (* 4.0 (+ (* (* a (+ 1.0 a)) a) (* (- 1.0 (* 3.0 a)) (pow b 2))))))

rewrite375.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
16×associate-*r*
14×add-exp-log
12×*-un-lft-identity add-cube-cbrt
8×unpow-prod-down add-cbrt-cube unswap-sqr
6×pow1 associate-*l* prod-exp sqrt-prod
4×sqrt-div associate-*l/ unpow2 add-log-exp sqr-pow
2×pow-to-exp rem-sqrt-square sqrt-pow1 flip3-+ flip3-- pow1/2 pow-exp *-commutative cbrt-unprod flip-+ flip--
Counts
4 → 88
Calls
4 calls:
39.0ms
(* (- 1.0 (* 3.0 a)) (pow b 2))
39.0ms
(* (- 1.0 (* 3.0 a)) (pow b 2))
124.0ms
(sqrt (+ (pow (+ (pow b 2) (* a a)) 2.0) (* 4.0 (+ (* (* a (+ 1.0 a)) a) (* (- 1.0 (* 3.0 a)) (pow b 2))))))
167.0ms
(sqrt (+ (pow (+ (pow b 2) (* a a)) 2.0) (* 4.0 (+ (* (* a (+ 1.0 a)) a) (* (- 1.0 (* 3.0 a)) (pow b 2))))))

series633.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (- 1.0 (* 3.0 a)) (pow b 2))
86.0ms
(* (- 1.0 (* 3.0 a)) (pow b 2))
223.0ms
(sqrt (+ (pow (+ (pow b 2) (* a a)) 2.0) (* 4.0 (+ (* (* a (+ 1.0 a)) a) (* (- 1.0 (* 3.0 a)) (pow b 2))))))
238.0ms
(sqrt (+ (pow (+ (pow b 2) (* a a)) 2.0) (* 4.0 (+ (* (* a (+ 1.0 a)) a) (* (- 1.0 (* 3.0 a)) (pow b 2))))))

simplify952.0ms

Counts
100 → 100
Iterations
IterNodes
done5002
21558
1311
0125

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (pow b 2) (* 2 (* a a))) (pow b 4))
2.5b
(* (pow b 2) (* 2 (* a a)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×prod-exp
11×add-cbrt-cube
8×associate-*l*
6×cbrt-unprod
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
3×pow-to-exp unpow-prod-down pow-exp
2×pow1
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+ unpow2 sqr-pow
Counts
2 → 40
Calls
2 calls:
39.0ms
(+ (* (pow b 2) (* 2 (* a a))) (pow b 4))
55.0ms
(* (pow b 2) (* 2 (* a a)))

series145.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(+ (* (pow b 2) (* 2 (* a a))) (pow b 4))
56.0ms
(* (pow b 2) (* 2 (* a a)))

simplify811.0ms

Counts
46 → 46
Iterations
IterNodes
done5001
21442
1253
086

prune323.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes248.0ms

Accuracy

67.8% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.3b

bsearch2.0ms

simplify8.0ms

Iterations
IterNodes
done49
149
034

end0.0ms

sample4.4s

Algorithm
intervals
Results
3.8s20748×body80valid