Details

Time bar (total: 2.7s)

sample18.0ms

Algorithm
intervals
Results
8.0ms330×body80valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2344
3494
4574
5694
6904
71274
81764
93044
104394
114494
124494

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) z)
0.0b
(+ (* x y) (* (- 1.0 x) z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
6.0ms
(* (- 1.0 x) z)
4.0ms
(+ (* x y) (* (- 1.0 x) z))

series62.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (- 1.0 x) z)
34.0ms
(+ (* x y) (* (- 1.0 x) z))

simplify98.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0185183
1776166
24093166
35001166

prune65.0ms

Filtered
39 candidates to 28 candidates (71.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0.0b

Counts
40 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* (- 1.0 x) z))
0.1b
(sqrt (+ (* x y) (* (- 1.0 x) z)))
0.1b
(sqrt (+ (* x y) (* (- 1.0 x) z)))
0.3b
(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
4.0ms
(+ (* x y) (* (- 1.0 x) z))
3.0ms
(sqrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms
(sqrt (+ (* x y) (* (- 1.0 x) z)))
11.0ms
(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

series298.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ (* x y) (* (- 1.0 x) z))
114.0ms
(sqrt (+ (* x y) (* (- 1.0 x) z)))
114.0ms
(sqrt (+ (* x y) (* (- 1.0 x) z)))
34.0ms
(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0276960
11042864
25001832

prune178.0ms

Filtered
110 candidates to 62 candidates (56.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh022
Picked011
Done011
Total1104114

Merged error: 0.0b

Counts
114 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
0.1b
(* (- 1.0 x) (sqrt z))
0.2b
(* (* (- 1.0 x) (sqrt z)) (sqrt z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×associate-*r*
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×add-cube-cbrt
7×sqrt-prod
6×associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- unswap-sqr
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 60
Calls
3 calls:
4.0ms
(+ (* x y) (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
7.0ms
(* (- 1.0 x) (sqrt z))
9.0ms
(* (* (- 1.0 x) (sqrt z)) (sqrt z))

series113.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ (* x y) (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
47.0ms
(* (- 1.0 x) (sqrt z))
30.0ms
(* (* (- 1.0 x) (sqrt z)) (sqrt z))

simplify44.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0319434
11318366
25002355

prune116.0ms

Filtered
69 candidates to 46 candidates (66.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh011
Picked011
Done022
Total69473

Merged error: 0.0b

Counts
73 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x y) (* x y))
0.8b
(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))
1.1b
(+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))
40.2b
(/ (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)) (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
24×*-un-lft-identity
18×add-exp-log add-cbrt-cube
17×pow-prod-down
15×times-frac
14×add-sqr-sqrt add-cube-cbrt
8×prod-exp cbrt-unprod add-log-exp
5×sum-cubes distribute-lft-out associate-/l*
4×associate-+l+ flip3-+ pow-sqr pow-prod-up flip-+
3×associate-/r*
2×+-commutative distribute-rgt-in sub-neg distribute-lft-in pow-plus sum-log associate-/r/ associate-/l/
1×cbrt-undiv pow2 frac-2neg swap-sqr div-exp associate-*r* associate-*l* clear-num *-commutative div-inv
Counts
4 → 101
Calls
4 calls:
6.0ms
(* (* x y) (* x y))
18.0ms
(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))
7.0ms
(+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))
23.0ms
(/ (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)) (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))

series569.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* x y) (* x y))
108.0ms
(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))
149.0ms
(+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))
275.0ms
(/ (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)) (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))

simplify103.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
04831648
125361515
250021510

prune247.0ms

Filtered
113 candidates to 68 candidates (60.2%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1130113
Fresh000
Picked011
Done033
Total1134117

Merged error: 0.0b

Counts
117 → 4

regimes82.0ms

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
0114
1114

end0.0ms

sample466.0ms

Algorithm
intervals
Results
267.0ms9999×body80valid

Profiling

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