Details

Time bar (total: 13.6s)

sample37.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
9.0ms270×body80nan

simplify96.0ms

Counts
1 → 1
Iterations
IterNodes
done107
8107
7106
6104
593
470
354
236
121
011

prune5.0ms

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

rewrite106.0ms

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:
33.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
26.0ms
(* 6.0 (- x 1.0))
44.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series181.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
49.0ms
(* 6.0 (- x 1.0))
96.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.2s

Counts
73 → 73
Iterations
IterNodes
done5000
21315
1385
0134

prune287.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x 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) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite173.0ms

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:
28.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
91.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
50.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series252.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
102.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
93.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.2s

Counts
102 → 102
Iterations
IterNodes
done5004
21597
1455
0161

prune450.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(* 6.0 (- x 1.0))
0.0b
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
0.2b
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
32×add-exp-log
30×add-sqr-sqrt
28×*-un-lft-identity
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
9×add-log-exp
7×pow1 cbrt-undiv
6×flip3-- div-inv flip-- associate-/l*
5×associate-*r* prod-exp
3×rec-exp sum-log 1-exp associate-*l* cbrt-unprod
2×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in flip3-+ flip-+ associate-/l/
1×+-commutative associate-+l+ pow-prod-down *-commutative pow-flip distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 128
Calls
4 calls:
33.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
23.0ms
(* 6.0 (- x 1.0))
45.0ms
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
69.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

series351.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
64.0ms
(* 6.0 (- x 1.0))
120.0ms
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
109.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

simplify1.5s

Counts
140 → 140
Iterations
IterNodes
done5002
21890
1571
0221

prune489.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
3.8b
(/ (* (- x 1.0) 6.0) (+ (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x)) (* (* (* (sqrt x) 4.0) x) (* 4.0 4.0))))
8.6b
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
14.9b
(* (/ (* (- x 1.0) 6.0) (+ (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x)) (* (* (* (sqrt x) 4.0) x) (* 4.0 4.0)))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
48×frac-add
45×pow1
42×frac-times
41×flip3-+ flip-+
30×add-cbrt-cube associate-*r/ add-exp-log
25×flip3-- flip--
18×pow-prod-down
15×associate-*l/
13×prod-exp cbrt-unprod
11×add-sqr-sqrt
10×associate-*l*
9×*-un-lft-identity add-cube-cbrt add-log-exp
6×times-frac
4×cbrt-undiv div-exp associate-*r* associate-/r/ pow-sqr pow-prod-up
3×associate-/r*
2×distribute-rgt-in associate-+l+ associate-+r+ sum-log distribute-lft-in pow-plus *-commutative div-inv associate-/l/
1×pow2 +-commutative clear-num associate-+r- sub-neg frac-2neg diff-log swap-sqr associate-/l* unswap-sqr
Counts
4 → 159
Calls
4 calls:
47.0ms
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
260.0ms
(/ (* (- x 1.0) 6.0) (+ (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x)) (* (* (* (sqrt x) 4.0) x) (* 4.0 4.0))))
105.0ms
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
995.0ms
(* (/ (* (- x 1.0) 6.0) (+ (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x)) (* (* (* (sqrt x) 4.0) x) (* 4.0 4.0)))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

series486.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
120.0ms
(/ (* (- x 1.0) 6.0) (+ (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x)) (* (* (* (sqrt x) 4.0) x) (* 4.0 4.0))))
97.0ms
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
243.0ms
(* (/ (* (- x 1.0) 6.0) (+ (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x)) (* (* (* (sqrt x) 4.0) x) (* 4.0 4.0)))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

simplify2.2s

Counts
171 → 171
Iterations
IterNodes
done5002
11592
0346

prune1.3s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes69.0ms

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
647.0ms7925×body80nan
522.0ms8000×body80valid