Details

Time bar (total: 15.4s)

sample49.0ms

Algorithm
intervals
Results
25.0ms91×body1280valid
7.0ms139×body80valid
3.0ms11×body640valid
2.0ms12×body320valid
0.0ms3×body160valid

simplify57.0ms

Counts
1 → 1
Iterations
IterNodes
done37
637
535
430
328
224
119
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (/ 1.0 (hypot 1.0 x)))
0.0b
(/ 1.0 (hypot 1.0 x))
2.2b
(- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
13×add-sqr-sqrt
11×add-cube-cbrt
9×times-frac
7×add-log-exp
5×add-cbrt-cube add-exp-log
3×pow1 associate-/r* associate-/l*
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-+ flip3-- diff-log div-exp flip-+ div-inv flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 53
Calls
3 calls:
11.0ms
(+ 1.0 (/ 1.0 (hypot 1.0 x)))
4.0ms
(/ 1.0 (hypot 1.0 x))
5.0ms
(- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))

series179.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ 1.0 (/ 1.0 (hypot 1.0 x)))
11.0ms
(/ 1.0 (hypot 1.0 x))
136.0ms
(- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))

simplify2.5s

Counts
62 → 62
Iterations
IterNodes
done5002
34797
2765
1219
0100

prune317.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.4b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 1.0 0.5) (hypot 1.0 x))
0.0b
(/ (* 1.0 0.5) (hypot 1.0 x))
0.0b
(/ (* 1.0 0.5) (hypot 1.0 x))
1.6b
(- (* (* 1.0 1.0) 1.0) (* (sqrt (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5))) (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
11×add-sqr-sqrt
10×*-un-lft-identity add-cube-cbrt
9×associate-/r* times-frac
6×cbrt-undiv div-exp add-log-exp
4×pow1
3×clear-num frac-2neg prod-exp cbrt-unprod div-inv associate-/l*
2×associate--r+
1×distribute-rgt-in difference-cubes sub-neg distribute-lft-in flip3-- diff-log cube-unmult pow3 flip--
Counts
4 → 78
Calls
4 calls:
8.0ms
(/ (* 1.0 0.5) (hypot 1.0 x))
7.0ms
(/ (* 1.0 0.5) (hypot 1.0 x))
8.0ms
(/ (* 1.0 0.5) (hypot 1.0 x))
66.0ms
(- (* (* 1.0 1.0) 1.0) (* (sqrt (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5))) (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5))))

series175.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(/ (* 1.0 0.5) (hypot 1.0 x))
10.0ms
(/ (* 1.0 0.5) (hypot 1.0 x))
15.0ms
(/ (* 1.0 0.5) (hypot 1.0 x))
140.0ms
(- (* (* 1.0 1.0) 1.0) (* (sqrt (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5))) (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5))))

simplify1.5s

Counts
90 → 90
Iterations
IterNodes
done5000
21339
1249
089

prune757.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 12.4b

localize85.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 1.0 0.5) (hypot 1.0 x))
0.0b
(/ (* 1.0 0.5) (hypot 1.0 x))
1.6b
(- (* (* 1.0 1.0) 1.0) (* (sqrt (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5))) (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5))))
2.8b
(log (exp (/ (* 1.0 0.5) (hypot 1.0 x))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
12×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
9×times-frac
8×log-pow
7×exp-prod
6×associate-/r* add-log-exp
5×pow1
4×cbrt-undiv div-exp
3×log-prod div-inv
2×clear-num frac-2neg prod-exp cbrt-unprod associate-/l* associate--r+
1×distribute-rgt-in difference-cubes sub-neg distribute-lft-in flip3-- diff-log cube-unmult rem-log-exp pow3 flip--
Counts
4 → 76
Calls
4 calls:
14.0ms
(/ (* 1.0 0.5) (hypot 1.0 x))
15.0ms
(/ (* 1.0 0.5) (hypot 1.0 x))
68.0ms
(- (* (* 1.0 1.0) 1.0) (* (sqrt (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5))) (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5))))
8.0ms
(log (exp (/ (* 1.0 0.5) (hypot 1.0 x))))

series191.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/ (* 1.0 0.5) (hypot 1.0 x))
15.0ms
(/ (* 1.0 0.5) (hypot 1.0 x))
144.0ms
(- (* (* 1.0 1.0) 1.0) (* (sqrt (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5))) (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5))))
16.0ms
(log (exp (/ (* 1.0 0.5) (hypot 1.0 x))))

simplify1.4s

Counts
88 → 88
Iterations
IterNodes
done5001
21451
1294
0118

prune715.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 12.4b

localize73.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (* (* 1.0 1.0) 1.0) (* (sqrt (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5))) (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5)))) (+ (* 1.0 (+ 1.0 (sqrt (+ (log (exp (/ (* 1.0 0.5) (hypot 1.0 x)))) (* 1.0 0.5))))) (+ (log (exp (/ (* 1.0 0.5) (hypot 1.0 x)))) (* 1.0 0.5))))
1.6b
(- (* (* 1.0 1.0) 1.0) (* (sqrt (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5))) (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5))))
2.8b
(log (exp (/ (* 1.0 0.5) (hypot 1.0 x))))
2.8b
(log (exp (/ (* 1.0 0.5) (hypot 1.0 x))))

rewrite463.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity add-cube-cbrt
18×times-frac
16×log-pow
14×exp-prod
6×pow1 log-prod add-cbrt-cube add-exp-log associate-/r/ add-log-exp
5×difference-cubes flip3-+ cube-unmult pow3 flip-+
4×frac-add associate-*r/ associate-/l*
3×associate-/r* div-inv
2×flip3-- rem-log-exp flip-- associate--r+ associate-/l/
1×distribute-rgt-in cbrt-undiv clear-num sub-neg frac-2neg distribute-lft-in diff-log div-sub div-exp
Counts
4 → 93
Calls
4 calls:
385.0ms
(/ (- (* (* 1.0 1.0) 1.0) (* (sqrt (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5))) (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5)))) (+ (* 1.0 (+ 1.0 (sqrt (+ (log (exp (/ (* 1.0 0.5) (hypot 1.0 x)))) (* 1.0 0.5))))) (+ (log (exp (/ (* 1.0 0.5) (hypot 1.0 x)))) (* 1.0 0.5))))
51.0ms
(- (* (* 1.0 1.0) 1.0) (* (sqrt (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5))) (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5))))
10.0ms
(log (exp (/ (* 1.0 0.5) (hypot 1.0 x))))
10.0ms
(log (exp (/ (* 1.0 0.5) (hypot 1.0 x))))

series427.0ms

Counts
4 → 12
Calls
4 calls:
271.0ms
(/ (- (* (* 1.0 1.0) 1.0) (* (sqrt (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5))) (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5)))) (+ (* 1.0 (+ 1.0 (sqrt (+ (log (exp (/ (* 1.0 0.5) (hypot 1.0 x)))) (* 1.0 0.5))))) (+ (log (exp (/ (* 1.0 0.5) (hypot 1.0 x)))) (* 1.0 0.5))))
119.0ms
(- (* (* 1.0 1.0) 1.0) (* (sqrt (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5))) (+ (/ (* 1.0 0.5) (hypot 1.0 x)) (* 1.0 0.5))))
16.0ms
(log (exp (/ (* 1.0 0.5) (hypot 1.0 x))))
20.0ms
(log (exp (/ (* 1.0 0.5) (hypot 1.0 x))))

simplify2.9s

Counts
105 → 105
Iterations
IterNodes
done5000
23364
1593
0196

prune814.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 12.4b

regimes81.0ms

Accuracy

0% (0.0b remaining)

Error of 15.5b against oracle of 15.5b and baseline of 15.5b

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done28
128
020

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.7s2906×body1280valid
274.0ms3939×body80valid
164.0ms646×body640valid
79.0ms177×body160valid
72.0ms332×body320valid