Details

Time bar (total: 12.5s)

sample17.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
2.0ms91×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
188
done88

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

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))))

rewrite105.0ms

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-exp-log add-cbrt-cube 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 frac-2neg sqrt-pow1 pow1/2 div-exp clear-num sum-log div-inv
Counts
3 → 61
Calls
3 calls:
17.0ms
(sqrt (+ x 1.0))
28.0ms
(+ 1.0 (sqrt (+ x 1.0)))
58.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series279.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(sqrt (+ x 1.0))
51.0ms
(+ 1.0 (sqrt (+ x 1.0)))
194.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify833.0ms

Counts
70 → 70
Iterations

Useful iterations: 2 (292.0ms)

IterNodesCost
0140917
1326848
21523785
done5000785

prune183.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

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)))))

rewrite185.0ms

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×flip3-+ div-exp prod-exp associate-/r* sqrt-prod associate-/r/ 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 pow-flip frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative inv-pow
Counts
4 → 106
Calls
4 calls:
7.0ms
(sqrt (+ x 1.0))
27.0ms
(+ 1.0 (sqrt (+ x 1.0)))
54.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
91.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

series384.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(sqrt (+ x 1.0))
48.0ms
(+ 1.0 (sqrt (+ x 1.0)))
99.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
196.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

simplify1.5s

Counts
118 → 118
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01861578
14761379
224951210
done50021208

prune303.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ 1.0 (sqrt (+ x 1.0))))
0.4b
(/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))
0.4b
(* (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))))
0.8b
(/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))

rewrite434.0ms

Algorithm
rewrite-expression-head
Rules
112×add-sqr-sqrt
106×times-frac
101×*-un-lft-identity
71×sqrt-prod
65×add-cube-cbrt
32×add-exp-log
27×associate-*r* associate-*l*
20×add-cbrt-cube
15×distribute-lft-out unswap-sqr
14×associate-/r*
11×div-exp
10×sqrt-div
9×pow1
8×prod-exp associate-/r/
6×cbrt-undiv associate-/l*
5×flip3-+ flip-+
4×cbrt-unprod div-inv add-log-exp
3×rec-exp pow-flip 1-exp
2×frac-2neg sqrt-pow1 pow1/2 clear-num
1×frac-times rem-sqrt-square associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 205
Calls
4 calls:
52.0ms
(sqrt (+ 1.0 (sqrt (+ x 1.0))))
40.0ms
(/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))
248.0ms
(* (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))))
74.0ms
(/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
199.0ms
(sqrt (+ 1.0 (sqrt (+ x 1.0))))
565.0ms
(/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))
185.0ms
(* (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))))
325.0ms
(/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))

simplify564.0ms

Counts
217 → 217
Iterations

Useful iterations: done (555.0ms)

IterNodesCost
03024664
18474210
done50003801

prune614.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

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)))

rewrite257.0ms

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-exp-log add-cbrt-cube
7×pow1
6×associate-*l* associate-/l* add-log-exp unswap-sqr
4×flip3-+ associate-/r* associate-/r/ flip-+
2×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod div-inv
1×+-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
4 → 132
Calls
4 calls:
8.0ms
(sqrt (+ x 1.0))
31.0ms
(+ (sqrt (+ x 1.0)) 1.0)
78.0ms
(/ (sqrt x) (+ (sqrt (+ x 1.0)) 1.0))
134.0ms
(* (sqrt x) (/ (sqrt x) (+ (sqrt (+ x 1.0)) 1.0)))

series720.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(sqrt (+ x 1.0))
58.0ms
(+ (sqrt (+ x 1.0)) 1.0)
439.0ms
(/ (sqrt x) (+ (sqrt (+ x 1.0)) 1.0))
187.0ms
(* (sqrt x) (/ (sqrt x) (+ (sqrt (+ x 1.0)) 1.0)))

simplify3.4s

Counts
144 → 144
Iterations

Useful iterations: done (3.4s)

IterNodesCost
02162303
15562113
239751871
done50001845

prune311.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11310
done1310

end0.0ms

sample1.1s

Algorithm
intervals
Results
776.0ms8000×body80valid
72.0ms2641×body80nan