Details

Time bar (total: 3.2s)

sample22.0ms

Algorithm
intervals
Results
5.0ms271×body80valid
5.0ms273×body80nan

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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 1 expressions with local error:

0.2b
(* y (sqrt x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*r*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
5.0ms
(* y (sqrt x))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* y (sqrt x))

simplify90.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0148113
1616100
2303894
3500194

prune52.0ms

Filtered
25 candidates to 16 candidates (64.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New18725
Fresh000
Picked011
Done000
Total18826

Merged error: 0.0b

Counts
26 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.2b
(* y (sqrt (sqrt x)))
0.4b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite20.0ms

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))
6.0ms
(* y (sqrt (sqrt x)))
8.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series433.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(sqrt (sqrt x))
133.0ms
(sqrt (sqrt x))
77.0ms
(* y (sqrt (sqrt x)))
39.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0336516
11481454
25001427

prune171.0ms

Filtered
100 candidates to 60 candidates (60.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New964100
Fresh426
Picked011
Done011
Total1008108

Merged error: 0.0b

Counts
108 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
69×sqrt-prod
33×associate-*r*
28×add-sqr-sqrt
23×pow1
20×add-exp-log add-cbrt-cube
19×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
9×sqrt-pow1
5×associate-*l*
4×add-log-exp
3×rem-sqrt-square pow1/2 *-commutative unswap-sqr
Counts
4 → 108
Calls
4 calls:
3.0ms
(sqrt (sqrt (sqrt x)))
6.0ms
(* y (sqrt (sqrt x)))
10.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
15.0ms
(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series418.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(sqrt (sqrt (sqrt x)))
80.0ms
(* y (sqrt (sqrt x)))
112.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
43.0ms
(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify65.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0478919
12392763
25001680

prune228.0ms

Filtered
120 candidates to 67 candidates (55.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1200120
Fresh055
Picked011
Done022
Total1208128

Merged error: 0.0b

Counts
128 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (fabs (cbrt x)) y)
0.4b
(* (* (fabs (cbrt x)) y) (sqrt (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
11×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×cbrt-prod
6×sqrt-prod
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×pow1/3 *-commutative
1×unswap-sqr
Counts
4 → 64
Calls
4 calls:
6.0ms
(* (fabs (cbrt x)) y)
11.0ms
(* (* (fabs (cbrt x)) y) (sqrt (cbrt x)))
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series530.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (fabs (cbrt x)) y)
125.0ms
(* (* (fabs (cbrt x)) y) (sqrt (cbrt x)))
182.0ms
(cbrt x)
199.0ms
(cbrt x)

simplify90.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0210392
1952345
23737339
35001334

prune151.0ms

Filtered
76 candidates to 53 candidates (69.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New74276
Fresh224
Picked011
Done213
Total78684

Merged error: 0b

Counts
84 → 6

regimes71.0ms

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

sample594.0ms

Algorithm
intervals
Results
181.0ms8520×body80valid
150.0ms8510×body80nan
0.0ms1×body1280valid
0.0ms2×body160valid
0.0ms1×body320valid