Details

Time bar (total: 12.7s)

sample91.0ms

Algorithm
intervals
Results
31.0ms260×body160nan
26.0ms510×body80nan
18.0ms256×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5000
62814
5340
464
335
220
116
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.6b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (+ x (sqrt (- (* x x) 1))))
0.0b
(+ x (sqrt (- (* x x) 1)))
30.4b
(sqrt (- (* x x) 1))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
7×add-sqr-sqrt
6×sqrt-prod
5×pow1 add-cube-cbrt add-log-exp
4×log-prod add-exp-log
3×add-cbrt-cube insert-posit16
2×log-div flip3-+ sqrt-div flip-+ distribute-lft-out difference-of-squares
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 flip3-- pow1/2 difference-of-sqr-1 rem-log-exp log-pow flip--
Counts
3 → 48
Calls
3 calls:
11.0ms
(log (+ x (sqrt (- (* x x) 1))))
19.0ms
(+ x (sqrt (- (* x x) 1)))
11.0ms
(sqrt (- (* x x) 1))

series232.0ms

Counts
3 → 9
Calls
3 calls:
131.0ms
(log (+ x (sqrt (- (* x x) 1))))
58.0ms
(+ x (sqrt (- (* x x) 1)))
42.0ms
(sqrt (- (* x x) 1))

simplify1.1s

Counts
57 → 57
Iterations
IterNodes
done5000
21274
1318
0135

prune260.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- x 1))
0.0b
(log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))))
0.0b
(+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))
0.5b
(* (sqrt (+ x 1)) (sqrt (- x 1)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×sqrt-prod
18×*-un-lft-identity
14×sqrt-div
10×pow1 associate-*r* add-cube-cbrt
7×associate-*l* add-exp-log
6×add-cbrt-cube add-log-exp
5×flip3-+ flip-+
4×frac-times flip3-- insert-posit16 flip-- difference-of-squares unswap-sqr
3×log-prod sqrt-pow1 pow1/2 pow-prod-down
2×log-div difference-of-sqr-1 associate-*l/ associate-*r/ distribute-lft-out--
1×+-commutative rem-sqrt-square sum-log sqrt-unprod rem-log-exp prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out
Counts
4 → 91
Calls
4 calls:
8.0ms
(sqrt (- x 1))
4.0ms
(log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))))
8.0ms
(+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))
29.0ms
(* (sqrt (+ x 1)) (sqrt (- x 1)))

series341.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(sqrt (- x 1))
142.0ms
(log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))))
68.0ms
(+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))
84.0ms
(* (sqrt (+ x 1)) (sqrt (- x 1)))

simplify1.3s

Counts
103 → 103
Iterations
IterNodes
done5001
21578
1436
0187

prune479.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))))
0.5b
(* (sqrt (+ x 1)) (sqrt (- x 1)))
0.5b
(* (sqrt (+ x 1)) (sqrt (- x 1)))
0.6b
(* (sqrt (log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))))) (sqrt (log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
60×sqrt-prod
58×add-sqr-sqrt
35×pow1
33×*-un-lft-identity
27×associate-*r*
24×sqrt-div
21×associate-*l* add-cube-cbrt
13×sqrt-pow1 pow1/2
12×unswap-sqr
11×swap-sqr
10×add-cbrt-cube add-exp-log
9×pow-prod-down
8×frac-times
7×log-pow
6×flip3-+ flip3-- flip-+ flip--
5×pow-prod-up
4×associate-*l/ associate-*r/ insert-posit16 add-log-exp difference-of-squares
3×sqrt-unprod prod-exp pow-sqr *-commutative cbrt-unprod
2×difference-of-sqr-1 distribute-lft-out distribute-lft-out--
1×pow2 rem-sqrt-square rem-square-sqrt pow-plus
Counts
4 → 158
Calls
4 calls:
2.0ms
(sqrt (log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))))
41.0ms
(* (sqrt (+ x 1)) (sqrt (- x 1)))
46.0ms
(* (sqrt (+ x 1)) (sqrt (- x 1)))
17.0ms
(* (sqrt (log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))))) (sqrt (log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))))))

series584.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(sqrt (log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))))
80.0ms
(* (sqrt (+ x 1)) (sqrt (- x 1)))
113.0ms
(* (sqrt (+ x 1)) (sqrt (- x 1)))
206.0ms
(* (sqrt (log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))))) (sqrt (log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))))))

simplify1.6s

Counts
170 → 170
Iterations
IterNodes
done5004
22189
1558
0233

prune727.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done14
114
09

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.5s7666×body160nan
1.2s15928×body80nan
634.0ms8000×body80valid