Details

Time bar (total: 11.6s)

sample54.0ms

Algorithm
intervals
Results
16.0ms291×body80nan
15.0ms256×body80valid

simplify96.0ms

Counts
1 → 1
Iterations
IterNodes
done119
6119
5111
485
362
239
121
011

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 6.0 (- x 1.0))
0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.1b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-cbrt-cube add-exp-log
9×*-un-lft-identity
8×add-log-exp
7×add-cube-cbrt
5×pow1 associate-*r*
4×associate-*r/
3×associate-/r* sum-log times-frac associate-*l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-+ flip3-- div-exp prod-exp associate-/r/ cbrt-unprod flip-+ flip-- associate-/l/
1×+-commutative associate-+l+ clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
25.0ms
(* 6.0 (- x 1.0))
37.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
51.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series196.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* 6.0 (- x 1.0))
40.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
106.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.4s

Counts
73 → 73
Iterations
IterNodes
done5002
21776
1390
0134

prune347.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.1b
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-cbrt-cube add-exp-log
8×add-log-exp
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
4×associate-/r/
3×associate-/r* sum-log flip3-+ associate-*l* flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×+-commutative associate-+l+ clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*r/ *-commutative flip--
Counts
3 → 93
Calls
3 calls:
90.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
30.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
65.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series231.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
46.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
102.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.2s

Counts
102 → 102
Iterations
IterNodes
done5002
22077
1460
0161

prune462.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* 4.0 (sqrt x)))
0.0b
(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
0.0b
(+ x (+ 1.0 (* 4.0 (sqrt x))))
0.1b
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
68×*-un-lft-identity
49×add-sqr-sqrt
41×times-frac
26×associate-*r* add-cube-cbrt
12×distribute-lft-out
11×add-cbrt-cube add-exp-log add-log-exp
9×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/l*
4×associate-/r* sum-log flip3-+ associate-/r/ flip-+
3×associate-*l*
2×cbrt-undiv +-commutative div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×associate-+r+ clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*r/ *-commutative flip--
Counts
4 → 116
Calls
4 calls:
4.0ms
(+ 1.0 (* 4.0 (sqrt x)))
56.0ms
(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
11.0ms
(+ x (+ 1.0 (* 4.0 (sqrt x))))
32.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

series310.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(+ 1.0 (* 4.0 (sqrt x)))
110.0ms
(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
47.0ms
(+ x (+ 1.0 (* 4.0 (sqrt x))))
89.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

simplify1.3s

Counts
128 → 128
Iterations
IterNodes
done5001
22357
1511
0177

prune631.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))
0.0b
(sqrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))
0.0b
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ x (+ 1.0 (* 4.0 (sqrt x))))))
0.1b
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ x (+ 1.0 (* 4.0 (sqrt x))))))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
154×*-un-lft-identity
136×sqrt-prod
120×add-sqr-sqrt
98×times-frac
54×add-cube-cbrt
34×distribute-lft-out
32×difference-of-squares
16×distribute-lft-out--
14×associate-/r* associate-/l*
8×add-cbrt-cube sqrt-div add-exp-log
6×pow1
5×flip3-+ flip-+
4×associate-/r/ add-log-exp associate-/l/
2×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-exp div-inv
1×flip3-- div-sub flip--
Counts
4 → 191
Calls
4 calls:
30.0ms
(sqrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))
31.0ms
(sqrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))
50.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ x (+ 1.0 (* 4.0 (sqrt x))))))
52.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ x (+ 1.0 (* 4.0 (sqrt x))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
94.0ms
(sqrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))
101.0ms
(sqrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))
611.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ x (+ 1.0 (* 4.0 (sqrt x))))))
283.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ x (+ 1.0 (* 4.0 (sqrt x))))))

simplify1.3s

Counts
203 → 203
Iterations
IterNodes
done5001
22605
1583
0237

prune822.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample1.4s

Algorithm
intervals
Results
591.0ms8152×body80nan
457.0ms8000×body80valid