Details

Time bar (total: 9.7s)

sample9.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
165
done65

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
6.0ms
(+ x (/ 1.0 3.0))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(+ x (/ 1.0 3.0))

simplify1.6s

Counts
20 → 20
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
030135
183129
2191119
3470119
41233119
53754119
done5001119

prune39.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
0.0b
(+ x (/ 1.0 3.0))
0.2b
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
33×add-sqr-sqrt
30×sqrt-prod
20×pow1
15×add-cube-cbrt
14×sqrt-div
11×swap-sqr
9×sqrt-pow1 flip3-+ pow1/2 flip-+ distribute-lft-out
8×add-log-exp
7×associate-*r* associate-*l*
6×add-exp-log fma-def add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u frac-times log1p-expm1-u unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-*r/ associate-*l/ sum-log hypot-def
1×pow2 rem-sqrt-square times-frac pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 118
Calls
4 calls:
12.0ms
(sqrt (+ x (/ 1.0 3.0)))
6.0ms
(+ x (/ 1.0 3.0))
6.0ms
(+ x (/ 1.0 3.0))
54.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series87.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(sqrt (+ x (/ 1.0 3.0)))
17.0ms
(+ x (/ 1.0 3.0))
17.0ms
(+ x (/ 1.0 3.0))
21.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify3.9s

Counts
130 → 130
Iterations

Useful iterations: 3 (557.0ms)

IterNodesCost
01151700
12371163
28381068
344931038
done50001038

prune226.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (fabs (cbrt (+ (/ 1.0 3.0) x))) (sqrt (cbrt (+ (/ 1.0 3.0) x))))
0.2b
(* (sqrt (+ x (/ 1.0 3.0))) (* (fabs (cbrt (+ (/ 1.0 3.0) x))) (sqrt (cbrt (+ (/ 1.0 3.0) x)))))
0.3b
(cbrt (+ (/ 1.0 3.0) x))
0.3b
(cbrt (+ (/ 1.0 3.0) x))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
18×add-sqr-sqrt
14×sqrt-div
13×cbrt-prod sqrt-prod
12×add-cube-cbrt cbrt-div
11×pow1 add-exp-log associate-*r* add-cbrt-cube
10×associate-*r/ associate-*l*
9×flip3-+ flip-+
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out add-log-exp
3×unswap-sqr
2×pow1/3 associate-*l/ *-commutative
Counts
4 → 95
Calls
4 calls:
35.0ms
(* (fabs (cbrt (+ (/ 1.0 3.0) x))) (sqrt (cbrt (+ (/ 1.0 3.0) x))))
59.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (* (fabs (cbrt (+ (/ 1.0 3.0) x))) (sqrt (cbrt (+ (/ 1.0 3.0) x)))))
7.0ms
(cbrt (+ (/ 1.0 3.0) x))
7.0ms
(cbrt (+ (/ 1.0 3.0) x))

series409.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (fabs (cbrt (+ (/ 1.0 3.0) x))) (sqrt (cbrt (+ (/ 1.0 3.0) x))))
134.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (* (fabs (cbrt (+ (/ 1.0 3.0) x))) (sqrt (cbrt (+ (/ 1.0 3.0) x)))))
88.0ms
(cbrt (+ (/ 1.0 3.0) x))
90.0ms
(cbrt (+ (/ 1.0 3.0) x))

simplify684.0ms

Counts
107 → 107
Iterations

Useful iterations: done (676.0ms)

IterNodesCost
02632530
16592364
222302172
done50002171

prune339.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sqrt (+ x (/ 1.0 3.0))))
0.0b
(sqrt (sqrt (+ x (/ 1.0 3.0))))
0.1b
(* (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (sqrt (sqrt (+ x (/ 1.0 3.0)))))
0.2b
(pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
121×sqrt-prod
74×add-sqr-sqrt
39×*-un-lft-identity
36×sqrt-div
29×unpow-prod-down cube-prod
26×associate-*l*
25×add-cube-cbrt
24×unswap-sqr
12×pow1 sqrt-pow1
10×add-exp-log associate-*r*
9×flip3-+ flip-+
8×cube-div
7×add-cbrt-cube distribute-lft-out
6×pow1/2
5×pow-pow sqr-pow
4×expm1-log1p-u frac-times rem-sqrt-square log1p-expm1-u add-log-exp
3×pow-unpow prod-exp
2×cube-mult pow-to-exp unpow3 associate-*r/ associate-*l/ pow-exp
1×pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 178
Calls
4 calls:
12.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
12.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
89.0ms
(* (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (sqrt (sqrt (+ x (/ 1.0 3.0)))))
16.0ms
(pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)

series348.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
90.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
19.0ms
(* (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (sqrt (sqrt (+ x (/ 1.0 3.0)))))
145.0ms
(pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)

simplify1.1s

Counts
190 → 190
Iterations

Useful iterations: 2 (213.0ms)

IterNodesCost
02163768
15602791
222642514
done50002514

prune367.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample198.0ms

Algorithm
intervals
Results
110.0ms8000×body80valid