Details

Time bar (total: 1.9s)

sample31.0ms

Algorithm
intervals
Results
8.0ms228×body80valid
5.0ms33×body1280valid
3.0ms26×body640valid
1.0ms12×body320valid
1.0ms6×body2560valid
1.0ms9×body160valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (12.0ms)

IterNodesCost
0226
1656
21754
34023
49192
528922
650012

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* y (- x z))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×*-un-lft-identity associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 26
Calls
1 calls:
6.0ms
(* y (- x z))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* y (- x z))

simplify43.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
011298
146288
2188388
3500288

prune30.0ms

Filtered
17 candidates to 29 candidates (-70.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New27229
Fresh000
Picked011
Done000
Total27330

Merged error: 0.0b

Counts
30 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- x z))
0.3b
(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
2.4b
(sqrt (* y (- x z)))
2.4b
(sqrt (* y (- x z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×add-sqr-sqrt sqrt-div
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-- associate-*r* flip--
8×add-exp-log add-cbrt-cube
7×associate-*l*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out-- difference-of-squares
Counts
4 → 109
Calls
4 calls:
6.0ms
(* y (- x z))
13.0ms
(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
4.0ms
(sqrt (* y (- x z)))
4.0ms
(sqrt (* y (- x z)))

series68.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* y (- x z))
29.0ms
(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
17.0ms
(sqrt (* y (- x z)))
15.0ms
(sqrt (* y (- x z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0255518
11176477
25001463

prune88.0ms

Filtered
70 candidates to 121 candidates (-72.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh011
Picked011
Done011
Total1213124

Merged error: 0.0b

Counts
124 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sqrt y) (- x z))
0.2b
(* (sqrt y) (* (sqrt y) (- x z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*l*
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
7×add-cube-cbrt sqrt-prod
6×sub-neg associate-*r/ associate-*r*
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 61
Calls
2 calls:
8.0ms
(* (sqrt y) (- x z))
9.0ms
(* (sqrt y) (* (sqrt y) (- x z)))

series26.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(* (sqrt y) (- x z))
11.0ms
(* (sqrt y) (* (sqrt y) (- x z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0274329
11193287
25001284

prune54.0ms

Filtered
40 candidates to 67 candidates (-67.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New66167
Fresh000
Picked101
Done022
Total67370

Merged error: 0b

Counts
70 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
18×associate-*l*
17×associate-*r*
15×add-cube-cbrt *-un-lft-identity
12×sqrt-prod
10×pow1 add-exp-log add-cbrt-cube
6×add-log-exp unswap-sqr
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod
2×flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative distribute-rgt-in neg-mul-1 distribute-lft-in unsub-neg sum-log
Counts
4 → 93
Calls
4 calls:
4.0ms
(+ (* (sqrt y) x) (* (sqrt y) (neg z)))
4.0ms
(* (sqrt y) x)
6.0ms
(* (sqrt y) (neg z))
7.0ms
(* (sqrt y) (+ (* (sqrt y) x) (* (sqrt y) (neg z))))

series63.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ (* (sqrt y) x) (* (sqrt y) (neg z)))
8.0ms
(* (sqrt y) x)
9.0ms
(* (sqrt y) (neg z))
29.0ms
(* (sqrt y) (+ (* (sqrt y) x) (* (sqrt y) (neg z))))

simplify62.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0473668
12020577
25002554

prune96.0ms

Filtered
81 candidates to 105 candidates (-29.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh000
Picked011
Done022
Total1053108

Merged error: 0b

Counts
108 → 3

regimes131.0ms

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

sample912.0ms

Algorithm
intervals
Results
254.0ms7067×body80valid
150.0ms973×body1280valid
112.0ms914×body640valid
56.0ms593×body320valid
39.0ms218×body2560valid
21.0ms338×body160valid

Profiling

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