Details

Time bar (total: 1.7s)

analyze69.0ms

Algorithm
search

sample15.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
0.0ms5×body80invalid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1203
2223
3223

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.8b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

4.6b
(* 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

prune50.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New19625
Fresh000
Picked011
Done000
Total19726

Merged error: 4.7b

Counts
26 → 7

localize6.0ms

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))))
4.5b
(sqrt (+ 1.0 (* y y)))
4.5b
(sqrt (+ 1.0 (* y y)))

rewrite21.0ms

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)))

series27.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* x (sqrt (+ 1.0 (* y y))))
9.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
3.0ms
(sqrt (+ 1.0 (* y y)))
3.0ms
(sqrt (+ 1.0 (* y y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0306681
11316604
25002594

prune170.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New95095
Fresh055
Picked011
Done011
Total957102

Merged error: 4.7b

Counts
102 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

1.8b
(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
4.7b
(cbrt (+ 1.0 (* y y)))
4.7b
(cbrt (+ 1.0 (* y y)))
4.7b
(cbrt (+ 1.0 (* y y)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-+ flip-+
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
10.0ms
(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
2.0ms
(cbrt (+ 1.0 (* y y)))
2.0ms
(cbrt (+ 1.0 (* y y)))
2.0ms
(cbrt (+ 1.0 (* y y)))

series64.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
11.0ms
(cbrt (+ 1.0 (* y y)))
13.0ms
(cbrt (+ 1.0 (* y y)))
11.0ms
(cbrt (+ 1.0 (* y y)))

simplify115.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
0341817
11135758
24170688
35002685

prune170.0ms

Filtered
63 candidates to 78 candidates (-23.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh044
Picked011
Done022
Total78785

Merged error: 4.7b

Counts
85 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (* y y))
0.2b
(* (* y y) (* y y))
2.9b
(* x (- (* 1.0 1.0) (* (* y y) (* y y))))
10.1b
(/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y)))

rewrite30.0ms

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 add-sqr-sqrt
10×prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
6×add-log-exp
5×associate-*r*
4×flip3-- times-frac associate-*r/ associate-*l* associate-/r* flip-- difference-of-squares
3×sub-neg
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp associate-/r/ *-commutative associate-/l/ unswap-sqr
1×frac-2neg diff-log swap-sqr clear-num div-inv associate-/l*
Counts
4 → 128
Calls
4 calls:
2.0ms
(- 1.0 (* y y))
8.0ms
(* (* y y) (* y y))
6.0ms
(* x (- (* 1.0 1.0) (* (* y y) (* y y))))
8.0ms
(/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- 1.0 (* y y))
3.0ms
(* (* y y) (* y y))
16.0ms
(* x (- (* 1.0 1.0) (* (* y y) (* y y))))
27.0ms
(/ (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (- 1.0 (* y y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0425700
12012577
25001577

prune105.0ms

Filtered
69 candidates to 140 candidates (-102.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1391140
Fresh123
Picked101
Done033
Total1416147

Merged error: 4.7b

Counts
147 → 6

regimes231.0ms

Accuracy

0% (0.2b remaining)

Error of 5.5b against oracle of 5.3b and baseline of 5.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

analyze73.0ms

Algorithm
search

sample305.0ms

Algorithm
intervals
Results
182.0ms8000×body80valid
4.0ms173×body80invalid

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