Details

Time bar (total: 1.9s)

sample18.0ms

Algorithm
intervals
Results
8.0ms295×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2224
3224

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x 2.0) (* y x))
0.0b
(+ (+ (/ x 2.0) (* y x)) z)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
5.0ms
(+ (/ x 2.0) (* y x))
8.0ms
(+ (+ (/ x 2.0) (* y x)) z)

series67.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (/ x 2.0) (* y x))
29.0ms
(+ (+ (/ x 2.0) (* y x)) z)

simplify57.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0163180
1542168
21917162
35001160

prune52.0ms

Filtered
31 candidates to 22 candidates (71.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New28331
Fresh000
Picked101
Done000
Total29332

Merged error: 0.0b

Counts
32 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y 0.5))
0.0b
(+ (* x (+ y 0.5)) z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
5.0ms
(* x (+ y 0.5))
6.0ms
(+ (* x (+ y 0.5)) z)

series59.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* x (+ y 0.5))
28.0ms
(+ (* x (+ y 0.5)) z)

simplify92.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0195166
1755151
23668149
35001149

prune57.0ms

Filtered
42 candidates to 28 candidates (66.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New40242
Fresh202
Picked011
Done000
Total42345

Merged error: 0.0b

Counts
45 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (sqrt (* x (+ y 0.5))) (sqrt (* x (+ y 0.5)))) z)
0.0b
(sqrt (* x (+ y 0.5)))
0.0b
(sqrt (* x (+ y 0.5)))
0.3b
(* (sqrt (* x (+ y 0.5))) (sqrt (* x (+ y 0.5))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1
32×sqrt-pow1
22×pow-prod-down
18×associate-*r/
16×sqrt-div
12×pow1/2
10×add-sqr-sqrt pow-prod-up
9×flip3-+ flip-+
8×add-cube-cbrt *-un-lft-identity
6×add-exp-log sqrt-prod pow-sqr add-cbrt-cube add-log-exp
4×frac-times swap-sqr associate-*r* associate-*l*
2×associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod unswap-sqr
Counts
4 → 94
Calls
4 calls:
13.0ms
(+ (* (sqrt (* x (+ y 0.5))) (sqrt (* x (+ y 0.5)))) z)
4.0ms
(sqrt (* x (+ y 0.5)))
4.0ms
(sqrt (* x (+ y 0.5)))
15.0ms
(* (sqrt (* x (+ y 0.5))) (sqrt (* x (+ y 0.5))))

series253.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(+ (* (sqrt (* x (+ y 0.5))) (sqrt (* x (+ y 0.5)))) z)
43.0ms
(sqrt (* x (+ y 0.5)))
41.0ms
(sqrt (* x (+ y 0.5)))
75.0ms
(* (sqrt (* x (+ y 0.5))) (sqrt (* x (+ y 0.5))))

simplify52.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0306611
11260524
25001498

prune159.0ms

Filtered
106 candidates to 63 candidates (59.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh011
Picked011
Done011
Total1063109

Merged error: 0.0b

Counts
109 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (+ y 0.5))
0.0b
(+ (* x (+ y 0.5)) z)
0.1b
(pow (+ (* x (+ y 0.5)) z) 3)
40.8b
(cbrt (pow (+ (* x (+ y 0.5)) z) 3))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×cbrt-prod add-cube-cbrt
7×pow1 add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod add-log-exp
4×cube-div flip3-+ associate-*r* flip-+
3×pow-unpow associate-*l*
2×distribute-rgt-in cube-mult associate-+l+ cbrt-div distribute-lft-in unpow3 associate-*r/ sqr-pow
1×+-commutative pow-to-exp pow-pow pow1/3 pow-prod-down pow-exp prod-exp sum-log *-commutative rem-cbrt-cube cbrt-unprod distribute-lft-out rem-cube-cbrt unswap-sqr
Counts
4 → 84
Calls
4 calls:
6.0ms
(* x (+ y 0.5))
6.0ms
(+ (* x (+ y 0.5)) z)
7.0ms
(pow (+ (* x (+ y 0.5)) z) 3)
7.0ms
(cbrt (pow (+ (* x (+ y 0.5)) z) 3))

series205.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* x (+ y 0.5))
33.0ms
(+ (* x (+ y 0.5)) z)
111.0ms
(pow (+ (* x (+ y 0.5)) z) 3)
29.0ms
(cbrt (pow (+ (* x (+ y 0.5)) z) 3))

simplify56.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0359539
11688507
25001499

prune146.0ms

Filtered
96 candidates to 56 candidates (58.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh000
Picked011
Done022
Total96399

Merged error: 0.0b

Counts
99 → 3

regimes49.0ms

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
0103
1103

end0.0ms

sample448.0ms

Algorithm
intervals
Results
257.0ms9151×body80valid
0.0ms1×body1280valid