Details

Time bar (total: 3.0s)

sample14.0ms

Algorithm
intervals
Results
6.0ms345×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0143
1203
2223
3223

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: 4.6b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

4.3b
(* x (+ 1.0 (* y y)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
2×+-commutative distribute-rgt-in distribute-lft-in associate-*r/ distribute-lft-out
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 26
Calls
1 calls:
9.0ms
(* x (+ 1.0 (* y y)))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(* x (+ 1.0 (* y y)))

simplify89.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0140121
1687107
23153106
35003106

prune36.0ms

Filtered
29 candidates to 18 candidates (62.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New26329
Fresh000
Picked011
Done000
Total26430

Merged error: 4.4b

Counts
30 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
4.3b
(sqrt (+ 1.0 (* y y)))
4.3b
(sqrt (+ 1.0 (* y y)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
27×*-un-lft-identity
26×sqrt-prod
25×associate-*l*
16×sqrt-div associate-*r*
12×unswap-sqr
11×add-cube-cbrt
10×pow1
8×add-exp-log flip3-+ associate-*r/ add-cbrt-cube flip-+ distribute-lft-out
4×frac-times
3×pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative
Counts
3 → 88
Calls
3 calls:
27.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
6.0ms
(sqrt (+ 1.0 (* y y)))
7.0ms
(sqrt (+ 1.0 (* y y)))

series215.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
83.0ms
(sqrt (+ 1.0 (* y y)))
60.0ms
(sqrt (+ 1.0 (* y y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0295781
11051664
25001636

prune161.0ms

Filtered
97 candidates to 60 candidates (61.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New95297
Fresh112
Picked011
Done011
Total965101

Merged error: 4.4b

Counts
101 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)
1.5b
(* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))
4.3b
(sqrt (+ 1.0 (* y y)))
4.3b
(sqrt (+ 1.0 (* y y)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
79×sqrt-prod
78×add-sqr-sqrt
39×*-un-lft-identity
38×unswap-sqr
34×unpow-prod-down
30×associate-*l*
27×associate-*r*
19×add-cube-cbrt
18×add-exp-log
14×pow1
10×add-cbrt-cube distribute-lft-out
9×prod-exp
8×sqrt-div
6×sqrt-pow1 sqr-pow
5×pow-pow
4×pow1/2 add-log-exp
3×pow-to-exp pow-unpow flip3-+ pow-prod-down pow-exp cbrt-unprod flip-+
2×rem-sqrt-square unpow3 associate-*r/ associate-*l/ *-commutative
1×sqrt-pow2 rem-cube-cbrt
Counts
4 → 144
Calls
4 calls:
8.0ms
(pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)
35.0ms
(* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))
11.0ms
(sqrt (+ 1.0 (* y y)))
11.0ms
(sqrt (+ 1.0 (* y y)))

series473.0ms

Counts
4 → 12
Calls
4 calls:
305.0ms
(pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)
71.0ms
(* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))
48.0ms
(sqrt (+ 1.0 (* y y)))
49.0ms
(sqrt (+ 1.0 (* y y)))

simplify97.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
05351721
125471426
250011381

prune308.0ms

Filtered
156 candidates to 87 candidates (55.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1542156
Fresh112
Picked011
Done022
Total1556161

Merged error: 4.4b

Counts
161 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)
4.3b
(sqrt (+ 1.0 (* y y)))
4.3b
(sqrt (+ 1.0 (* y y)))
4.3b
(sqrt (+ 1.0 (* y y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
39×sqrt-prod
28×*-un-lft-identity
15×add-sqr-sqrt
14×unpow-prod-down
12×add-cube-cbrt sqrt-pow1
11×pow1
8×distribute-lft-out
7×pow-pow
6×pow1/2 sqrt-div
5×add-exp-log add-cbrt-cube
4×associate-*l* add-log-exp
3×rem-sqrt-square pow-unpow flip3-+ flip-+
1×pow-to-exp unpow3 pow-exp sqrt-pow2 rem-cube-cbrt sqr-pow
Counts
4 → 88
Calls
4 calls:
13.0ms
(pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)
6.0ms
(sqrt (+ 1.0 (* y y)))
6.0ms
(sqrt (+ 1.0 (* y y)))
6.0ms
(sqrt (+ 1.0 (* y y)))

series436.0ms

Counts
4 → 12
Calls
4 calls:
277.0ms
(pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)
63.0ms
(sqrt (+ 1.0 (* y y)))
50.0ms
(sqrt (+ 1.0 (* y y)))
45.0ms
(sqrt (+ 1.0 (* y y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0380668
11335611
25002597

prune269.0ms

Filtered
100 candidates to 65 candidates (65.0%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1000100
Fresh022
Picked011
Done033
Total1006106

Merged error: 4.4b

Counts
106 → 6

regimes113.0ms

Accuracy

0% (0.2b remaining)

Error of 5.2b against oracle of 5.0b and baseline of 5.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118
1118

end0.0ms

sample372.0ms

Algorithm
intervals
Results
200.0ms10655×body80valid