Details

Time bar (total: 24.8s)

sample55.0ms

Algorithm
intervals
Results
11.0ms39×body1280valid
7.0ms62×body640valid
5.0ms211×body80nan
5.0ms132×body80valid
1.0ms16×body320valid
1.0ms7×body160valid

simplify34.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
111
08

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.5b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.2b
(/ 1.0 (sqrt (+ x 1.0)))
0.3b
(/ 1.0 (sqrt x))
2.1b
(- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0))))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
73×add-sqr-sqrt
69×times-frac
50×sqrt-prod
42×add-cube-cbrt
13×associate-/r*
11×distribute-lft-out--
9×difference-of-squares
8×add-cbrt-cube add-exp-log distribute-lft-out
6×associate-/l* add-log-exp
5×pow1
4×sqrt-div insert-posit16 div-inv
2×cbrt-undiv clear-num frac-2neg flip3-+ div-exp associate-/r/ flip-+
1×rem-sqrt-square sub-neg sqrt-pow1 flip3-- pow1/2 diff-log frac-sub flip--
Counts
4 → 137
Calls
4 calls:
21.0ms
(sqrt (+ x 1.0))
29.0ms
(/ 1.0 (sqrt (+ x 1.0)))
10.0ms
(/ 1.0 (sqrt x))
120.0ms
(- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0))))

series430.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(sqrt (+ x 1.0))
121.0ms
(/ 1.0 (sqrt (+ x 1.0)))
52.0ms
(/ 1.0 (sqrt x))
205.0ms
(- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0))))

simplify5.0s

Counts
149 → 149
Iterations
IterNodes
done5019
33556
21183
1466
0220

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 18.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.1b
(/ (- (* 1.0 (sqrt (+ x 1.0))) (* (sqrt x) 1.0)) (* (sqrt x) (sqrt (+ x 1.0))))
0.3b
(* (sqrt x) (sqrt (+ x 1.0)))
2.1b
(- (* 1.0 (sqrt (+ x 1.0))) (* (sqrt x) 1.0))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×*-un-lft-identity sqrt-prod
11×add-cbrt-cube add-exp-log add-cube-cbrt
9×pow1
7×associate-*r*
6×sqrt-div associate-*l* add-log-exp
4×associate-*r/ insert-posit16 unswap-sqr
3×sqrt-pow1 flip3-+ times-frac pow1/2 pow-prod-down flip-+ associate-/l*
2×cbrt-undiv flip3-- div-exp prod-exp associate-/r/ cbrt-unprod flip-- distribute-lft-out associate-/l/
1×rem-sqrt-square clear-num associate-/r* sub-neg frac-2neg sqrt-unprod diff-log div-sub *-commutative div-inv
Counts
4 → 91
Calls
4 calls:
10.0ms
(sqrt (+ x 1.0))
73.0ms
(/ (- (* 1.0 (sqrt (+ x 1.0))) (* (sqrt x) 1.0)) (* (sqrt x) (sqrt (+ x 1.0))))
37.0ms
(* (sqrt x) (sqrt (+ x 1.0)))
26.0ms
(- (* 1.0 (sqrt (+ x 1.0))) (* (sqrt x) 1.0))

series554.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(sqrt (+ x 1.0))
311.0ms
(/ (- (* 1.0 (sqrt (+ x 1.0))) (* (sqrt x) 1.0)) (* (sqrt x) (sqrt (+ x 1.0))))
77.0ms
(* (sqrt x) (sqrt (+ x 1.0)))
132.0ms
(- (* 1.0 (sqrt (+ x 1.0))) (* (sqrt x) 1.0))

simplify2.5s

Counts
103 → 103
Iterations
IterNodes
done5001
21969
1551
0197

prune802.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 18.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt x) (sqrt (+ x 1.0)))
0.3b
(* (sqrt x) (sqrt (+ x 1.0)))
2.1b
(- (* 1.0 (sqrt (+ x 1.0))) (* (sqrt x) 1.0))
2.1b
(- (* 1.0 (sqrt (+ x 1.0))) (* (sqrt x) 1.0))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×sqrt-prod
16×*-un-lft-identity
14×associate-*r*
12×pow1 associate-*l* add-cube-cbrt
8×add-cbrt-cube add-exp-log add-log-exp unswap-sqr
6×pow-prod-down
4×sqrt-pow1 pow1/2 sqrt-div associate-*r/ insert-posit16
2×sub-neg flip3-+ flip3-- sqrt-unprod diff-log prod-exp *-commutative cbrt-unprod flip-+ flip-- distribute-lft-out
Counts
4 → 94
Calls
4 calls:
35.0ms
(* (sqrt x) (sqrt (+ x 1.0)))
36.0ms
(* (sqrt x) (sqrt (+ x 1.0)))
22.0ms
(- (* 1.0 (sqrt (+ x 1.0))) (* (sqrt x) 1.0))
26.0ms
(- (* 1.0 (sqrt (+ x 1.0))) (* (sqrt x) 1.0))

series368.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (sqrt x) (sqrt (+ x 1.0)))
64.0ms
(* (sqrt x) (sqrt (+ x 1.0)))
120.0ms
(- (* 1.0 (sqrt (+ x 1.0))) (* (sqrt x) 1.0))
115.0ms
(- (* 1.0 (sqrt (+ x 1.0))) (* (sqrt x) 1.0))

simplify3.6s

Counts
106 → 106
Iterations
IterNodes
done5002
33129
2904
1303
0118

prune866.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 18.0b

localize121.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt x) (sqrt (+ x 1.0)))
0.6b
(* (sqrt (* (sqrt x) (sqrt (+ x 1.0)))) (sqrt (* (sqrt x) (sqrt (+ x 1.0)))))
2.1b
(- (* 1.0 (sqrt (+ x 1.0))) (* (sqrt x) 1.0))
2.1b
(- (* 1.0 (sqrt (+ x 1.0))) (* (sqrt x) 1.0))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
73×pow1
62×sqrt-pow1
41×pow-prod-down
28×pow1/2
26×sqrt-div
22×add-sqr-sqrt
16×associate-*r/
15×sqrt-prod
14×*-un-lft-identity pow-prod-up
12×add-cube-cbrt
11×associate-*r*
10×associate-*l*
8×add-cbrt-cube add-exp-log pow-sqr add-log-exp
7×flip3-+ flip-+
5×unswap-sqr
4×frac-times swap-sqr insert-posit16
2×sub-neg flip3-- sqrt-unprod diff-log associate-*l/ prod-exp *-commutative cbrt-unprod flip--
1×pow2 rem-square-sqrt pow-plus distribute-lft-out
Counts
4 → 126
Calls
4 calls:
36.0ms
(* (sqrt x) (sqrt (+ x 1.0)))
113.0ms
(* (sqrt (* (sqrt x) (sqrt (+ x 1.0)))) (sqrt (* (sqrt x) (sqrt (+ x 1.0)))))
24.0ms
(- (* 1.0 (sqrt (+ x 1.0))) (* (sqrt x) 1.0))
22.0ms
(- (* 1.0 (sqrt (+ x 1.0))) (* (sqrt x) 1.0))

series367.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (sqrt x) (sqrt (+ x 1.0)))
68.0ms
(* (sqrt (* (sqrt x) (sqrt (+ x 1.0)))) (sqrt (* (sqrt x) (sqrt (+ x 1.0)))))
114.0ms
(- (* 1.0 (sqrt (+ x 1.0))) (* (sqrt x) 1.0))
112.0ms
(- (* 1.0 (sqrt (+ x 1.0))) (* (sqrt x) 1.0))

simplify5.2s

Counts
138 → 138
Iterations
IterNodes
done5024
34491
21348
1448
0187

prune921.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 18.0b

regimes179.0ms

Accuracy

0% (0.7b remaining)

Error of 20.0b against oracle of 19.3b and baseline of 20.0b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done21
121
016

end0.0ms

sample1.7s

Algorithm
intervals
Results
511.0ms1119×body1280valid
324.0ms1873×body640valid
242.0ms7974×body80nan
234.0ms4064×body80valid
56.0ms619×body320valid
20.0ms325×body160valid