Details

Time bar (total: 16.3s)

sample32.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
7.0ms75×body80nan

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done8
18
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
17×add-sqr-sqrt
14×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×expm1-log1p-u fma-def flip3-+ flip-+ insert-posit16 log1p-expm1-u 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 hypot-def div-inv
Counts
3 → 74
Calls
3 calls:
34.0ms
(+ 1.0 (sqrt (+ x 1.0)))
13.0ms
(sqrt (+ x 1.0))
59.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series314.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(+ 1.0 (sqrt (+ x 1.0)))
58.0ms
(sqrt (+ x 1.0))
201.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify1.3s

Counts
83 → 83
Iterations
IterNodes
done5000
21180
1336
0146

prune319.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
34×add-sqr-sqrt
26×times-frac
24×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×expm1-log1p-u associate-/r* flip3-+ div-exp prod-exp associate-/r/ sqrt-prod flip-+ insert-posit16 log1p-expm1-u
3×fma-def 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 hypot-def pow-flip inv-pow
Counts
4 → 122
Calls
4 calls:
15.0ms
(+ 1.0 (sqrt (+ x 1.0)))
11.0ms
(sqrt (+ x 1.0))
62.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
91.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

series523.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(+ 1.0 (sqrt (+ x 1.0)))
40.0ms
(sqrt (+ x 1.0))
163.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
252.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

simplify1.7s

Counts
134 → 134
Iterations
IterNodes
done5002
21670
1482
0195

prune411.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ x (fma (+ x 1.0) (sqrt (+ x 1.0)) (* (* 1.0 1.0) 1.0))) (+ (* 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)))
3.2b
(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
6.1b
(/ x (fma (+ x 1.0) (sqrt (+ x 1.0)) (* (* 1.0 1.0) 1.0)))

rewrite399.0ms

Algorithm
rewrite-expression-head
Rules
60×sqrt-div
45×add-sqr-sqrt
42×*-un-lft-identity
32×flip3-+ flip-+
30×associate-*r/
28×add-cube-cbrt
26×sqrt-prod
21×pow1
20×associate-*l*
19×times-frac
16×frac-sub
14×frac-times
13×add-cbrt-cube add-exp-log
11×swap-sqr
10×associate-*r*
9×associate-*l/
8×sqrt-pow1 pow1/2
6×distribute-lft-out add-log-exp unswap-sqr
5×pow-prod-up
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u sub-div
3×associate-/r* 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-- fma-neg sqrt-unprod diff-log prod-diff flip--
Counts
4 → 174
Calls
4 calls:
280.0ms
(* (/ x (fma (+ x 1.0) (sqrt (+ x 1.0)) (* (* 1.0 1.0) 1.0))) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))))
73.0ms
(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
28.0ms
(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
7.0ms
(/ x (fma (+ x 1.0) (sqrt (+ x 1.0)) (* (* 1.0 1.0) 1.0)))

series1.3s

Counts
4 → 12
Calls
4 calls:
816.0ms
(* (/ x (fma (+ x 1.0) (sqrt (+ x 1.0)) (* (* 1.0 1.0) 1.0))) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))))
29.0ms
(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
90.0ms
(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
401.0ms
(/ x (fma (+ x 1.0) (sqrt (+ x 1.0)) (* (* 1.0 1.0) 1.0)))

simplify3.9s

Counts
186 → 186
Iterations
IterNodes
done5000
24700
11244
0394

prune942.0ms

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

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
360×times-frac
288×*-un-lft-identity
190×sqrt-prod
189×add-sqr-sqrt
186×add-cube-cbrt
51×distribute-lft-out
34×associate-/r*
11×add-cbrt-cube add-exp-log
10×associate-/l*
9×div-inv
6×add-log-exp
5×pow1
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u
3×fma-def flip3-+ flip-+
2×clear-num frac-2neg sqrt-div associate-/l/
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2 associate-/r/ hypot-def
Counts
4 → 309
Calls
4 calls:
21.0ms
(+ 1.0 (sqrt (+ x 1.0)))
7.0ms
(sqrt (+ x 1.0))
59.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))
45.0ms
(/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))

series491.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(+ 1.0 (sqrt (+ x 1.0)))
51.0ms
(sqrt (+ x 1.0))
201.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))
164.0ms
(/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))

simplify2.6s

Counts
321 → 321
Iterations
IterNodes
done5014
22744
11009
0384

prune874.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes40.0ms

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

sample624.0ms

Algorithm
intervals
Results
368.0ms7999×body80valid
130.0ms2694×body80nan
0.0ms1×body1280valid