Details

Time bar (total: 13.0s)

sample28.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms95×body80nan

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done8
18
06

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

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))))

rewrite70.0ms

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-+ 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 → 61
Calls
3 calls:
11.0ms
(sqrt (+ x 1.0))
14.0ms
(+ 1.0 (sqrt (+ x 1.0)))
43.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series281.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(sqrt (+ x 1.0))
68.0ms
(+ 1.0 (sqrt (+ x 1.0)))
167.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify983.0ms

Counts
70 → 70
Iterations
IterNodes
done5000
21495
1316
0137

prune330.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite144.0ms

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-+
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 → 106
Calls
4 calls:
9.0ms
(sqrt (+ x 1.0))
20.0ms
(+ 1.0 (sqrt (+ x 1.0)))
43.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
67.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

series420.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(sqrt (+ x 1.0))
50.0ms
(+ 1.0 (sqrt (+ x 1.0)))
150.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
189.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

simplify1.4s

Counts
118 → 118
Iterations
IterNodes
done5002
22454
1466
0183

prune442.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ x (+ (* (* 1.0 1.0) 1.0) (* (+ 1.0 x) (sqrt (+ 1.0 x))))) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))))
0.2b
(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
3.7b
(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
6.8b
(/ x (+ (* (* 1.0 1.0) 1.0) (* (+ 1.0 x) (sqrt (+ 1.0 x)))))

rewrite402.0ms

Algorithm
rewrite-expression-head
Rules
60×sqrt-div
54×add-sqr-sqrt
44×*-un-lft-identity
34×flip3-+ flip-+
30×associate-*r/ add-cube-cbrt
26×sqrt-prod
25×times-frac associate-*l*
21×pow1
16×frac-sub
14×frac-times pow3
13×add-cbrt-cube add-exp-log
11×swap-sqr
10×associate-*r*
9×associate-*l/
8×sqrt-pow1 pow1/2
7×sum-cubes
6×distribute-lft-out add-log-exp unswap-sqr
5×pow-prod-up
4×associate-/r* pow-prod-down associate-/r/ sub-div
3×prod-exp pow-sqr cbrt-unprod associate-/l*
2×cbrt-undiv div-exp *-commutative div-inv
1×pow2 distribute-rgt-in clear-num sub-neg rem-square-sqrt frac-2neg distribute-lft-in pow-plus flip3-- distribute-rgt-out-- sqrt-unprod diff-log flip--
Counts
4 → 171
Calls
4 calls:
273.0ms
(* (/ x (+ (* (* 1.0 1.0) 1.0) (* (+ 1.0 x) (sqrt (+ 1.0 x))))) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))))
44.0ms
(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
28.0ms
(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
48.0ms
(/ x (+ (* (* 1.0 1.0) 1.0) (* (+ 1.0 x) (sqrt (+ 1.0 x)))))

series846.0ms

Counts
4 → 12
Calls
4 calls:
474.0ms
(* (/ x (+ (* (* 1.0 1.0) 1.0) (* (+ 1.0 x) (sqrt (+ 1.0 x))))) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))))
20.0ms
(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
73.0ms
(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
279.0ms
(/ x (+ (* (* 1.0 1.0) 1.0) (* (+ 1.0 x) (sqrt (+ 1.0 x)))))

simplify1.2s

Counts
183 → 183
Iterations
IterNodes
done5000
11213
0384

prune940.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite156.0ms

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-+
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 → 132
Calls
4 calls:
6.0ms
(sqrt (+ x 1.0))
13.0ms
(+ 1.0 (sqrt (+ x 1.0)))
39.0ms
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
93.0ms
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

series642.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(sqrt (+ x 1.0))
55.0ms
(+ 1.0 (sqrt (+ x 1.0)))
399.0ms
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
155.0ms
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

simplify3.2s

Counts
144 → 144
Iterations
IterNodes
done5002
23929
1547
0213

prune632.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done13
113
08

end0.0ms

sample758.0ms

Algorithm
intervals
Results
344.0ms7998×body80valid
164.0ms2729×body80nan
0.0ms2×body1280valid