Details

Time bar (total: 13.2s)

sample33.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
5.0ms97×body80nan

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done8
18
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.2b
(/ x (+ 1.0 (sqrt (+ x 1.0))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
14×add-sqr-sqrt
13×add-cube-cbrt
12×times-frac
6×distribute-lft-out
5×add-cbrt-cube add-exp-log add-log-exp
4×pow1 associate-/r* sqrt-prod
3×flip3-+ flip-+ insert-posit16 associate-/l*
2×sqrt-div associate-/r/
1×cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log frac-2neg sqrt-pow1 pow1/2 div-exp div-inv
Counts
3 → 64
Calls
3 calls:
8.0ms
(sqrt (+ x 1.0))
17.0ms
(+ 1.0 (sqrt (+ x 1.0)))
42.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series264.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(sqrt (+ x 1.0))
45.0ms
(+ 1.0 (sqrt (+ x 1.0)))
179.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify1.0s

Counts
73 → 73
Iterations
IterNodes
done5000
21076
1319
0140

prune291.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.1b
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))
0.1b
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
31×add-sqr-sqrt
26×times-frac
23×add-cube-cbrt
18×associate-*r*
17×add-exp-log
11×add-cbrt-cube
9×distribute-lft-out
8×pow1
6×add-log-exp
4×associate-/r* flip3-+ div-exp prod-exp associate-/r/ sqrt-prod flip-+ insert-posit16
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp sqrt-div 1-exp cbrt-unprod div-inv
1×+-commutative rem-sqrt-square clear-num sum-log frac-2neg sqrt-pow1 pow1/2 pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 110
Calls
4 calls:
5.0ms
(sqrt (+ x 1.0))
10.0ms
(+ 1.0 (sqrt (+ x 1.0)))
61.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))
30.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))

series384.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(sqrt (+ x 1.0))
57.0ms
(+ 1.0 (sqrt (+ x 1.0)))
174.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))
113.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))

simplify1.6s

Counts
122 → 122
Iterations
IterNodes
done5000
21561
1462
0187

prune518.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize104.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (/ x (sqrt 1.0)) (/ x (sqrt 1.0))) (/ x (sqrt 1.0)))
0.1b
(* (* (/ x (+ 1.0 (sqrt 1.0))) (/ x (+ 1.0 (sqrt 1.0)))) (/ x (+ 1.0 (sqrt 1.0))))
0.2b
(* (* (* (/ x (sqrt 1.0)) (/ x (sqrt 1.0))) (/ x (sqrt 1.0))) 1/8)
6.8b
(+ (/ (* (* (* (/ x (sqrt 1.0)) (/ x (sqrt 1.0))) (/ x (sqrt 1.0))) 1/8) (* (+ 1.0 (sqrt 1.0)) (+ 1.0 (sqrt 1.0)))) (- (/ x (+ 1.0 (sqrt 1.0))) (* (/ 1/2 (sqrt 1.0)) (* (/ x (+ 1.0 (sqrt 1.0))) (/ x (+ 1.0 (sqrt 1.0)))))))

rewrite670.0ms

Algorithm
rewrite-expression-head
Rules
139×add-cbrt-cube add-exp-log
65×prod-exp cbrt-unprod
52×associate-*r*
51×pow1
46×add-sqr-sqrt
43×*-un-lft-identity
42×times-frac
39×cbrt-undiv div-exp
29×add-cube-cbrt
26×associate-*l/
20×frac-times
17×associate-*r/
13×sqrt-prod
12×pow-plus pow-prod-down pow-prod-up
11×frac-add
9×add-log-exp
7×frac-sub
6×distribute-rgt-out
5×unswap-sqr
4×pow2 pow-sqr insert-posit16 distribute-lft-out
3×distribute-lft1-in associate-*l* *-commutative
2×associate-+r+ sum-log flip3-+ pow3 associate-/r/ flip-+ div-inv sub-div
1×+-commutative associate-+r- sub-neg flip3-- diff-log flip--
Counts
4 → 223
Calls
4 calls:
48.0ms
(* (* (/ x (sqrt 1.0)) (/ x (sqrt 1.0))) (/ x (sqrt 1.0)))
106.0ms
(* (* (/ x (+ 1.0 (sqrt 1.0))) (/ x (+ 1.0 (sqrt 1.0)))) (/ x (+ 1.0 (sqrt 1.0))))
202.0ms
(* (* (* (/ x (sqrt 1.0)) (/ x (sqrt 1.0))) (/ x (sqrt 1.0))) 1/8)
308.0ms
(+ (/ (* (* (* (/ x (sqrt 1.0)) (/ x (sqrt 1.0))) (/ x (sqrt 1.0))) 1/8) (* (+ 1.0 (sqrt 1.0)) (+ 1.0 (sqrt 1.0)))) (- (/ x (+ 1.0 (sqrt 1.0))) (* (/ 1/2 (sqrt 1.0)) (* (/ x (+ 1.0 (sqrt 1.0))) (/ x (+ 1.0 (sqrt 1.0)))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
171.0ms
(* (* (/ x (sqrt 1.0)) (/ x (sqrt 1.0))) (/ x (sqrt 1.0)))
194.0ms
(* (* (/ x (+ 1.0 (sqrt 1.0))) (/ x (+ 1.0 (sqrt 1.0)))) (/ x (+ 1.0 (sqrt 1.0))))
185.0ms
(* (* (* (/ x (sqrt 1.0)) (/ x (sqrt 1.0))) (/ x (sqrt 1.0))) 1/8)
496.0ms
(+ (/ (* (* (* (/ x (sqrt 1.0)) (/ x (sqrt 1.0))) (/ x (sqrt 1.0))) 1/8) (* (+ 1.0 (sqrt 1.0)) (+ 1.0 (sqrt 1.0)))) (- (/ x (+ 1.0 (sqrt 1.0))) (* (/ 1/2 (sqrt 1.0)) (* (/ x (+ 1.0 (sqrt 1.0))) (/ x (+ 1.0 (sqrt 1.0)))))))

simplify1.8s

Counts
235 → 235
Iterations
IterNodes
done5000
11340
0396

prune985.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(+ (sqrt (+ x 1.0)) 1.0)
0.0b
(/ (sqrt x) (+ (sqrt (+ x 1.0)) 1.0))
0.2b
(* (sqrt x) (/ (sqrt x) (+ (sqrt (+ x 1.0)) 1.0)))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
56×add-sqr-sqrt
52×times-frac
39×add-cube-cbrt sqrt-prod
30×associate-*r*
15×distribute-lft-out
11×add-cbrt-cube add-exp-log
7×pow1
6×associate-*l* associate-/l* add-log-exp unswap-sqr
4×associate-/r* flip3-+ associate-/r/ flip-+ insert-posit16
2×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod div-inv
1×+-commutative rem-sqrt-square clear-num sum-log frac-2neg sqrt-pow1 pow1/2 pow-prod-down associate-*r/ *-commutative
Counts
4 → 136
Calls
4 calls:
6.0ms
(sqrt (+ x 1.0))
19.0ms
(+ (sqrt (+ x 1.0)) 1.0)
26.0ms
(/ (sqrt x) (+ (sqrt (+ x 1.0)) 1.0))
78.0ms
(* (sqrt x) (/ (sqrt x) (+ (sqrt (+ x 1.0)) 1.0)))

series628.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(sqrt (+ x 1.0))
53.0ms
(+ (sqrt (+ x 1.0)) 1.0)
343.0ms
(/ (sqrt x) (+ (sqrt (+ x 1.0)) 1.0))
177.0ms
(* (sqrt x) (/ (sqrt x) (+ (sqrt (+ x 1.0)) 1.0)))

simplify1.5s

Counts
148 → 148
Iterations
IterNodes
done5002
21869
1550
0217

prune562.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample1.3s

Algorithm
intervals
Results
981.0ms7996×body80valid
137.0ms2742×body80nan
1.0ms4×body1280valid