Details

Time bar (total: 2.9s)

sample10.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
062
162

prune2.0ms

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))

rewrite11.0ms

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:
11.0ms
(+ x (/ 1.0 3.0))

series17.0ms

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

simplify54.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
08261
121855
253255
3151455
4500155

prune41.0ms

Pruning

2 alts after pruning (1 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))
0.1b
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite125.0ms

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:
18.0ms
(sqrt (+ x (/ 1.0 3.0)))
11.0ms
(+ x (/ 1.0 3.0))
13.0ms
(+ x (/ 1.0 3.0))
79.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series90.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(sqrt (+ x (/ 1.0 3.0)))
17.0ms
(+ x (/ 1.0 3.0))
22.0ms
(+ x (/ 1.0 3.0))
19.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify48.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0236599
1925537
25002521

prune244.0ms

Pruning

4 alts after pruning (3 fresh and 1 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
(* (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)

rewrite200.0ms

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:
18.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
17.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
130.0ms
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))
25.0ms
(pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)

series375.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
97.0ms
(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))
154.0ms
(pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)

simplify94.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
05352045
123321503
250011345

prune398.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.0b
(sqrt (sqrt (+ x (/ 1.0 3.0))))
0.1b
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))
0.1b
(pow (sqrt (+ x (/ 1.0 3.0))) 3/2)

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-prod
39×add-sqr-sqrt
26×*-un-lft-identity
20×unpow-prod-down
16×add-cube-cbrt
12×unswap-sqr
11×associate-*r*
10×add-exp-log associate-*l*
9×pow1
8×sqrt-div
6×sqrt-pow1 add-cbrt-cube add-log-exp
5×distribute-lft-out sqr-pow
4×expm1-log1p-u pow1/2 log1p-expm1-u
3×pow-unpow pow-pow fma-def flip3-+ prod-exp flip-+
2×pow-to-exp rem-sqrt-square associate-*l/ pow-exp pow-prod-up
1×+-commutative sum-log *-commutative sqrt-pow2 cbrt-unprod
Counts
4 → 118
Calls
4 calls:
11.0ms
(+ x (/ 1.0 3.0))
17.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
122.0ms
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))
20.0ms
(pow (sqrt (+ x (/ 1.0 3.0))) 3/2)

series312.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ x (/ 1.0 3.0))
97.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
26.0ms
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))
171.0ms
(pow (sqrt (+ x (/ 1.0 3.0))) 3/2)

simplify62.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04501103
116061030
25001898

prune309.0ms

Pruning

4 alts after pruning (1 fresh and 3 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

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162

end0.0ms

sample221.0ms

Algorithm
intervals
Results
105.0ms8000×body80valid