Details

Time bar (total: 3.2s)

sample9.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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))

rewrite10.0ms

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:
10.0ms
(+ x (/ 1.0 3.0))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(+ x (/ 1.0 3.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08261
121855
253255
3151455
4500155

prune36.0ms

Pruning

3 alts after pruning (2 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))))

rewrite299.0ms

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:
17.0ms
(sqrt (+ x (/ 1.0 3.0)))
10.0ms
(+ x (/ 1.0 3.0))
10.0ms
(+ x (/ 1.0 3.0))
259.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series74.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(sqrt (+ x (/ 1.0 3.0)))
15.0ms
(+ x (/ 1.0 3.0))
14.0ms
(+ x (/ 1.0 3.0))
18.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify39.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0236599
1925537
25002521

prune252.0ms

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

rewrite260.0ms

Algorithm
rewrite-expression-head
Rules
122×sqrt-div
112×sqrt-prod
91×sqrt-pow1
69×pow1
60×add-sqr-sqrt
47×pow1/2
42×*-un-lft-identity
39×pow-prod-up
35×flip3-+ flip-+
32×frac-times
22×add-cube-cbrt
20×swap-sqr
17×associate-*l*
16×associate-*r/
12×pow-prod-down
11×add-exp-log associate-*r* pow-sqr add-cbrt-cube unswap-sqr
10×associate-*l/
9×distribute-lft-out
4×expm1-log1p-u rem-sqrt-square prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-unprod
2×*-commutative
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 213
Calls
4 calls:
17.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
17.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
131.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))))
84.0ms
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))))

series203.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
80.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
17.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))))
28.0ms
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))))

simplify79.0ms

Algorithm
egg-herbie
Counts
225 → 225
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05961912
122461651
250031625

prune523.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

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
(* (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)

rewrite187.0ms

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:
17.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
17.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
125.0ms
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))
20.0ms
(pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)

series314.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
82.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
16.0ms
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))
135.0ms
(pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)

simplify82.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05352045
123321503
250011345

prune465.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes33.0ms

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

sample213.0ms

Algorithm
intervals
Results
116.0ms8000×body80valid