Details

Time bar (total: 2.5s)

sample9.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
062
162

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))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(+ x (/ 1.0 3.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08261
121855
253255
3151455
4500155

prune36.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

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))
0.1b
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite82.0ms

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)))
7.0ms
(+ x (/ 1.0 3.0))
6.0ms
(+ x (/ 1.0 3.0))
53.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series89.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(sqrt (+ x (/ 1.0 3.0)))
17.0ms
(+ x (/ 1.0 3.0))
21.0ms
(+ x (/ 1.0 3.0))
19.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify42.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0236604
1963537
25001521

prune210.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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))))
0.0b
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))
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-*r*
25×add-cube-cbrt
24×unswap-sqr
12×pow1 sqrt-pow1
10×add-exp-log associate-*l*
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×*-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 177
Calls
4 calls:
12.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
12.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
89.0ms
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))
17.0ms
(pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)

series344.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
95.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
18.0ms
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))
143.0ms
(pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)

simplify80.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05352045
123321503
250011345

prune340.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.0b
(sqrt (sqrt (+ x (/ 1.0 3.0))))
0.0b
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (pow (+ x (/ 1.0 3.0)) 1/4) 3))
0.2b
(pow (pow (+ x (/ 1.0 3.0)) 1/4) 3)

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt
47×unpow-prod-down sqrt-prod
34×*-un-lft-identity
25×cube-prod
24×unswap-sqr
22×associate-*r*
20×add-cube-cbrt
15×sqr-pow
14×add-exp-log
10×associate-*l*
8×sqrt-div pow-exp
7×add-cbrt-cube distribute-lft-out
6×pow1 add-log-exp
5×prod-exp
4×expm1-log1p-u pow-to-exp sqrt-pow1 log1p-expm1-u
3×pow-unpow fma-def flip3-+ flip-+
2×cube-mult rem-sqrt-square pow1/2 unpow3 associate-*l/
1×+-commutative pow-pow sum-log *-commutative cbrt-unprod rem-cube-cbrt
Counts
4 → 152
Calls
4 calls:
6.0ms
(+ x (/ 1.0 3.0))
12.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
128.0ms
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (pow (+ x (/ 1.0 3.0)) 1/4) 3))
24.0ms
(pow (pow (+ x (/ 1.0 3.0)) 1/4) 3)

series267.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ x (/ 1.0 3.0))
93.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
18.0ms
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (pow (+ x (/ 1.0 3.0)) 1/4) 3))
140.0ms
(pow (pow (+ x (/ 1.0 3.0)) 1/4) 3)

simplify73.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05371515
121651452
250011432

prune295.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162

end0.0ms

sample193.0ms

Algorithm
intervals
Results
108.0ms8000×body80valid