Details

Time bar (total: 1.7s)

sample18.0ms

Algorithm
intervals
Results
7.0ms356×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1203
2223
3223

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

6.6b
(* x (+ 1.0 (* y y)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
5.0ms
(* x (+ 1.0 (* y y)))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* x (+ 1.0 (* y y)))

simplify77.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0144115
1712101
23303100
35003100

prune42.0ms

Filtered
17 candidates to 25 candidates (-47.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New20525
Fresh000
Picked011
Done000
Total20626

Merged error: 6.8b

Counts
26 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (sqrt (+ 1.0 (* y y))))
0.1b
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
6.6b
(sqrt (+ 1.0 (* y y)))
6.6b
(sqrt (+ 1.0 (* y y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 83
Calls
4 calls:
5.0ms
(* x (sqrt (+ 1.0 (* y y))))
9.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
2.0ms
(sqrt (+ 1.0 (* y y)))
2.0ms
(sqrt (+ 1.0 (* y y)))

series28.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* x (sqrt (+ 1.0 (* y y))))
10.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
3.0ms
(sqrt (+ 1.0 (* y y)))
4.0ms
(sqrt (+ 1.0 (* y y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0306681
11316604
25002594

prune130.0ms

Filtered
66 candidates to 95 candidates (-43.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New95095
Fresh044
Picked011
Done011
Total956101

Merged error: 6.8b

Counts
101 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
3.1b
(* (cbrt x) (+ 1.0 (* y y)))
3.8b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ 1.0 (* y y))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×associate-*r/
5×distribute-rgt-in distribute-lft-in
4×associate-*r* add-log-exp
2×flip3-+ pow1/3 *-commutative flip-+ unswap-sqr
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
5.0ms
(* (cbrt x) (+ 1.0 (* y y)))
10.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ 1.0 (* y y))))

series97.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
22.0ms
(cbrt x)
39.0ms
(* (cbrt x) (+ 1.0 (* y y)))
14.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ 1.0 (* y y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0347635
11579480
25001408

prune77.0ms

Filtered
56 candidates to 88 candidates (-57.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh033
Picked011
Done022
Total88694

Merged error: 6.8b

Counts
94 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* y y) (* y y))
1.0b
(* x (+ (pow 1.0 3) (pow y 6)))
5.6b
(- (* (* y y) (* y y)) (* 1.0 (* y y)))
17.2b
(/ (* x (+ (pow 1.0 3) (pow y 6))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
117×pow1
36×pow-prod-up
24×pow-prod-down
23×add-exp-log add-cbrt-cube
22×pow-sqr
18×pow-plus
13×pow2
10×add-sqr-sqrt *-un-lft-identity prod-exp cbrt-unprod
8×add-cube-cbrt
6×add-log-exp
5×associate-*r*
4×associate-*r/ associate-*l*
3×flip3-+ times-frac associate-/r* flip-+
2×cbrt-undiv div-exp associate-/r/ *-commutative associate-/l/ unswap-sqr
1×distribute-rgt-in sub-neg flip3-- distribute-rgt-out-- frac-2neg distribute-lft-in diff-log swap-sqr clear-num flip-- div-inv distribute-lft-out associate-/l*
Counts
4 → 124
Calls
4 calls:
8.0ms
(* (* y y) (* y y))
10.0ms
(* x (+ (pow 1.0 3) (pow y 6)))
8.0ms
(- (* (* y y) (* y y)) (* 1.0 (* y y)))
19.0ms
(/ (* x (+ (pow 1.0 3) (pow y 6))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))

series86.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* y y) (* y y))
27.0ms
(* x (+ (pow 1.0 3) (pow y 6)))
8.0ms
(- (* (* y y) (* y y)) (* 1.0 (* y y)))
48.0ms
(/ (* x (+ (pow 1.0 3) (pow y 6))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))

simplify76.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0484808
12568663
25002652

prune151.0ms

Filtered
68 candidates to 136 candidates (-100.0%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1360136
Fresh022
Picked011
Done033
Total1366142

Merged error: 6.8b

Counts
142 → 6

regimes204.0ms

Accuracy

0% (0.2b remaining)

Error of 5.7b against oracle of 5.5b and baseline of 5.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample461.0ms

Algorithm
intervals
Results
220.0ms10672×body80valid

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