Details

Time bar (total: 4.0s)

sample47.0ms

Algorithm
intervals
Results
15.0ms358×body80nan
12.0ms275×body80valid

simplify23.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0134
1234
2404
3594
4744
51034
61204
71454
82264
92574
102574

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: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-log-exp
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube
3×associate-*l*
2×associate-+l+ sum-log unswap-sqr
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+
Counts
2 → 37
Calls
2 calls:
6.0ms
(+ (- 1.0 x) (* y (sqrt x)))
5.0ms
(* y (sqrt x))

series105.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ (- 1.0 x) (* y (sqrt x)))
58.0ms
(* y (sqrt x))

simplify125.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0229223
1909209
24523202
35001202

prune84.0ms

Filtered
43 candidates to 32 candidates (74.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New37643
Fresh000
Picked011
Done000
Total37744

Merged error: 0.0b

Counts
44 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.2b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
0.3b
(* y (sqrt (sqrt x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
2.0ms
(sqrt (sqrt x))
8.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
6.0ms
(* y (sqrt (sqrt x)))

series411.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(sqrt (sqrt x))
137.0ms
(sqrt (sqrt x))
58.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
77.0ms
(* y (sqrt (sqrt x)))

simplify40.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0295492
11261445
25001425

prune182.0ms

Filtered
100 candidates to 60 candidates (60.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New955100
Fresh505
Picked101
Done011
Total1016107

Merged error: 0b

Counts
107 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(pow (/ 1 x) -1/4)
0.2b
(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))
0.3b
(* y (sqrt (sqrt x)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
34×add-sqr-sqrt
26×add-cube-cbrt unpow-prod-down *-un-lft-identity associate-*r*
22×sqrt-prod
19×prod-exp
18×times-frac
12×pow-exp
11×add-cbrt-cube
10×pow1
6×div-exp
4×sqrt-pow1 associate-*l* cbrt-unprod add-log-exp
3×pow-to-exp rec-exp pow-unpow pow-pow 1-exp unswap-sqr
2×rem-sqrt-square pow1/2 *-commutative div-inv sqr-pow
1×pow-flip pow-prod-down inv-pow
Counts
4 → 117
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
4.0ms
(pow (/ 1 x) -1/4)
11.0ms
(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))
6.0ms
(* y (sqrt (sqrt x)))

series495.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(sqrt (sqrt x))
181.0ms
(pow (/ 1 x) -1/4)
95.0ms
(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))
78.0ms
(* y (sqrt (sqrt x)))

simplify88.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
0554738
12445676
25001671

prune240.0ms

Filtered
129 candidates to 75 candidates (58.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1290129
Fresh044
Picked011
Done011
Total1296135

Merged error: 0b

Counts
135 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series751.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt x) (cbrt x))
172.0ms
(cbrt x)
203.0ms
(cbrt x)
178.0ms
(cbrt x)

simplify116.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune363.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done022
Total85691

Merged error: 0b

Counts
91 → 6

regimes110.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample713.0ms

Algorithm
intervals
Results
233.0ms8555×body80valid
223.0ms8595×body80nan
0.0ms2×body1280valid
0.0ms1×body640valid

Profiling

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