Details

Time bar (total: 25.4s)

sample104.0ms

Algorithm
intervals
Results
80.0ms688×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
63785
51494
4533
3147
251
126
012

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
0.0b
(- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)
0.0b
(* (* b b) 4)
0.3b
(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

rewrite265.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt pow1
12×*-un-lft-identity
11×add-cbrt-cube add-exp-log add-log-exp
9×add-cube-cbrt
7×flip3-+ flip-+
6×associate-*r*
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16
3×swap-sqr
2×distribute-rgt-in associate-+r+ sum-log distribute-lft-in diff-log associate-*l/ associate-*r/ *-commutative difference-of-squares unswap-sqr
1×pow2 +-commutative sub-neg pow-plus flip3-- difference-of-sqr-1 associate--l+ pow-sqr pow-prod-up flip-- distribute-lft-out--
Counts
4 → 89
Calls
4 calls:
22.0ms
(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
163.0ms
(- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)
30.0ms
(* (* b b) 4)
48.0ms
(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series300.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
116.0ms
(- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)
35.0ms
(* (* b b) 4)
58.0ms
(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify7.1s

Counts
101 → 101
Iterations
IterNodes
39340
21902
1489
0152

prune896.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
0.2b
(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
8.6b
(sqrt (+ (* a a) (* b b)))
8.6b
(sqrt (+ (* a a) (* b b)))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-div
35×flip3-+ flip-+
32×frac-times
30×pow1
19×add-sqr-sqrt
16×associate-*r/
15×pow-prod-up
13×sqrt-prod
12×sqrt-pow1 pow1/2 associate-*l*
11×*-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*l/
6×pow-plus
5×distribute-rgt-in distribute-lft-in
4×associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
2×rem-sqrt-square cube-unmult *-commutative unswap-sqr
Counts
4 → 131
Calls
4 calls:
39.0ms
(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
94.0ms
(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
6.0ms
(sqrt (+ (* a a) (* b b)))
6.0ms
(sqrt (+ (* a a) (* b b)))

series288.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
58.0ms
(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
50.0ms
(sqrt (+ (* a a) (* b b)))
48.0ms
(sqrt (+ (* a a) (* b b)))

simplify855.0ms

Counts
143 → 143
Iterations
IterNodes
22281
1544
0166

prune1.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)
0.0b
(* (* b b) 4)
0.0b
(pow (sqrt (+ (* a a) (* b b))) 4)
8.6b
(sqrt (+ (* a a) (* b b)))

rewrite391.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×pow1 *-un-lft-identity
10×add-exp-log
9×add-cbrt-cube add-cube-cbrt add-log-exp
6×unpow-prod-down sqrt-prod
4×insert-posit16
3×pow-unpow pow-pow associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sqrt-pow1 pow1/2 sqrt-div diff-log difference-of-squares
1×pow-to-exp rem-sqrt-square sum-log sub-neg flip3-+ flip3-- difference-of-sqr-1 associate-*l* pow-exp associate--l+ *-commutative flip-+ sqrt-pow2 flip-- distribute-lft-out-- unswap-sqr sqr-pow
Counts
4 → 79
Calls
4 calls:
354.0ms
(- (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)
15.0ms
(* (* b b) 4)
14.0ms
(pow (sqrt (+ (* a a) (* b b))) 4)
6.0ms
(sqrt (+ (* a a) (* b b)))

series271.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(- (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)
41.0ms
(* (* b b) 4)
82.0ms
(pow (sqrt (+ (* a a) (* b b))) 4)
57.0ms
(sqrt (+ (* a a) (* b b)))

simplify2.9s

Counts
91 → 91
Iterations
IterNodes
33524
21078
1347
0140

prune960.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (sqrt (+ (* a a) (* b b))) 4)
3.4b
(exp (log (* (* b b) 4)))
8.6b
(sqrt (+ (* a a) (* b b)))
23.9b
(log (* (* b b) 4))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1
11×add-exp-log
10×add-sqr-sqrt
9×*-un-lft-identity add-cube-cbrt
6×exp-prod unpow-prod-down pow-prod-down log-pow sqrt-prod
4×add-cbrt-cube insert-posit16 add-log-exp
3×pow-unpow pow-pow rem-log-exp prod-exp
2×log-prod sqrt-pow1 pow1/2 sqrt-div
1×pow-to-exp rem-sqrt-square flip3-+ exp-sum pow-exp flip-+ sqrt-pow2 sqr-pow rem-exp-log
Counts
4 → 71
Calls
4 calls:
10.0ms
(pow (sqrt (+ (* a a) (* b b))) 4)
44.0ms
(exp (log (* (* b b) 4)))
6.0ms
(sqrt (+ (* a a) (* b b)))
15.0ms
(log (* (* b b) 4))

series386.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(pow (sqrt (+ (* a a) (* b b))) 4)
31.0ms
(exp (log (* (* b b) 4)))
47.0ms
(sqrt (+ (* a a) (* b b)))
234.0ms
(log (* (* b b) 4))

simplify1.7s

Counts
83 → 83
Iterations
IterNodes
32052
2636
1246
0116

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
217
117
014

end0.0ms

sample3.8s

Algorithm
intervals
Results
2.8s20839×body80valid