Details

Time bar (total: 46.0s)

sample35.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
8.0ms225×body80nan

simplify119.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

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))))

rewrite101.0ms

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:
17.0ms
(* 6.0 (- x 1.0))
43.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
40.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series192.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* 6.0 (- x 1.0))
50.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
88.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.2s

Counts
73 → 73
Iterations
IterNodes
done5000
21316
1386
0134

prune345.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube add-exp-log
8×add-log-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
3×pow1 sum-log
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×+-commutative associate-+l+
Counts
3 → 154
Calls
3 calls:
36.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
57.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))
88.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))

series204.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
82.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))
79.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))

simplify1.7s

Counts
163 → 163
Iterations
IterNodes
done5000
22510
1721
0265

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.8s

Algorithm
rewrite-expression-head
Rules
25272×times-frac
15598×*-un-lft-identity
13818×add-sqr-sqrt
12263×sqrt-prod
8346×add-cube-cbrt
2736×difference-of-squares
2258×distribute-lft-out
1368×distribute-lft-out--
667×associate-/r/
365×div-inv
190×flip3-+ flip-+
122×associate-/l*
114×flip3-- flip--
101×associate-/r*
32×add-cbrt-cube add-exp-log
19×cbrt-undiv div-exp
9×add-log-exp
4×pow1
3×clear-num sum-log frac-2neg associate-/l/
2×sqrt-div
1×+-commutative associate-+l+
Counts
4 → 7209
Calls
4 calls:
22.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
63.0ms
(/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (+ (sqrt x) (sqrt 1.0)))
49.0ms
(/ 6.0 (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (+ (sqrt x) (sqrt 1.0))))
328.0ms
(/ (/ 6.0 (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (+ (sqrt x) (sqrt 1.0)))) (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- (sqrt x) (sqrt 1.0))))

series1.3s

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
564.0ms
(/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (+ (sqrt x) (sqrt 1.0)))
284.0ms
(/ 6.0 (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (+ (sqrt x) (sqrt 1.0))))
429.0ms
(/ (/ 6.0 (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (+ (sqrt x) (sqrt 1.0)))) (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- (sqrt x) (sqrt 1.0))))

simplify12.8s

Counts
7221 → 7221
Iterations
IterNodes
done5000
04292

prune21.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

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)))))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
11×add-sqr-sqrt
10×add-cbrt-cube add-exp-log
8×add-log-exp
7×add-cube-cbrt
5×pow1 associate-*r*
4×associate-/r* times-frac associate-*r/
3×sum-log associate-*l* distribute-lft-out
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-+r+ clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 67
Calls
3 calls:
11.0ms
(+ x (+ 1.0 (* 4.0 (sqrt x))))
26.0ms
(* 6.0 (- x 1.0))
54.0ms
(/ (* 6.0 (- x 1.0)) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

series216.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ x (+ 1.0 (* 4.0 (sqrt x))))
72.0ms
(* 6.0 (- x 1.0))
100.0ms
(/ (* 6.0 (- x 1.0)) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

simplify1.3s

Counts
76 → 76
Iterations
IterNodes
done5000
21248
1370
0132

prune361.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done14
114
011

end0.0ms

sample1.3s

Algorithm
intervals
Results
493.0ms7962×body80nan
487.0ms8000×body80valid