Details

Time bar (total: 7.4s)

sample78.0ms

Algorithm
intervals
Results
30.0ms85×body1280valid
14.0ms288×body80valid
13.0ms61×body640valid
3.0ms21×body320valid
1.0ms11×body160valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0257
1507
2777
3967
41127
51277
61417
71417

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (cos th) (sqrt 2.0)) (* a2 a2))
0.3b
(* (/ (cos th) (sqrt 2.0)) (* a1 a1))
0.7b
(/ (cos th) (sqrt 2.0))
0.7b
(/ (cos th) (sqrt 2.0))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
70×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
44×associate-*l* sqrt-prod
32×add-exp-log add-cbrt-cube
14×pow1
12×prod-exp associate-/r* cbrt-unprod
6×cbrt-undiv div-exp pow-prod-down associate-/l* unswap-sqr
4×div-inv add-log-exp
2×frac-2neg associate-*r* associate-*l/ clear-num *-commutative
Counts
4 → 168
Calls
4 calls:
16.0ms
(* (/ (cos th) (sqrt 2.0)) (* a2 a2))
20.0ms
(* (/ (cos th) (sqrt 2.0)) (* a1 a1))
5.0ms
(/ (cos th) (sqrt 2.0))
4.0ms
(/ (cos th) (sqrt 2.0))

series347.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(* (/ (cos th) (sqrt 2.0)) (* a2 a2))
111.0ms
(* (/ (cos th) (sqrt 2.0)) (* a1 a1))
56.0ms
(/ (cos th) (sqrt 2.0))
63.0ms
(/ (cos th) (sqrt 2.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
05041284
120091156
250021136

prune632.0ms

Filtered
180 candidates to 116 candidates (64.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (cos th) (sqrt 2.0)) (* a1 a1))
0.6b
(/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
0.6b
(/ (cos th) (sqrt (sqrt 2.0)))
0.7b
(/ (cos th) (sqrt 2.0))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
616×sqrt-prod
614×times-frac
345×add-sqr-sqrt
340×add-cube-cbrt *-un-lft-identity
37×associate-/l*
25×add-exp-log add-cbrt-cube
24×associate-/r*
22×associate-*l*
14×div-inv
9×pow1
7×cbrt-undiv div-exp
6×prod-exp cbrt-unprod
4×add-log-exp
3×frac-2neg pow-prod-down clear-num unswap-sqr
1×associate-*r* associate-*l/ *-commutative associate-/l/
Counts
4 → 469
Calls
4 calls:
16.0ms
(* (/ (cos th) (sqrt 2.0)) (* a1 a1))
22.0ms
(/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
5.0ms
(/ (cos th) (sqrt (sqrt 2.0)))
4.0ms
(/ (cos th) (sqrt 2.0))

series332.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* (/ (cos th) (sqrt 2.0)) (* a1 a1))
64.0ms
(/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
96.0ms
(/ (cos th) (sqrt (sqrt 2.0)))
64.0ms
(/ (cos th) (sqrt 2.0))

simplify120.0ms

Algorithm
egg-herbie
Counts
481 → 481
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
011156666
145695845
250025839

prune838.0ms

Filtered
481 candidates to 189 candidates (39.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
0.6b
(/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
0.6b
(/ (cos th) (sqrt (sqrt 2.0)))
0.6b
(/ (cos th) (sqrt (sqrt 2.0)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
1188×sqrt-prod
1152×times-frac
620×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
68×associate-/l*
36×associate-/r*
24×div-inv
18×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp
4×pow1 frac-2neg clear-num add-log-exp
2×associate-/l/
Counts
4 → 770
Calls
4 calls:
18.0ms
(/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
19.0ms
(/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
5.0ms
(/ (cos th) (sqrt (sqrt 2.0)))
5.0ms
(/ (cos th) (sqrt (sqrt 2.0)))

series325.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
64.0ms
(/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
97.0ms
(/ (cos th) (sqrt (sqrt 2.0)))
107.0ms
(/ (cos th) (sqrt (sqrt 2.0)))

simplify141.0ms

Algorithm
egg-herbie
Counts
782 → 782
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
086912144
1341910626
2500110588

prune1.2s

Filtered
782 candidates to 261 candidates (33.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ (cos th) (sqrt (sqrt 2.0)))
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
36×sqrt-prod
29×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×times-frac
9×cbrt-prod associate-/r*
6×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×pow1/3 associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 84
Calls
4 calls:
5.0ms
(/ (cos th) (sqrt (sqrt 2.0)))
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)

series102.0ms

Counts
4 → 6
Calls
4 calls:
102.0ms
(/ (cos th) (sqrt (sqrt 2.0)))
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)

simplify60.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0172600
1483567
21941536
35001533

prune350.0ms

Filtered
90 candidates to 59 candidates (65.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes210.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02626
12626

end0.0ms

sample2.2s

Algorithm
intervals
Results
795.0ms2494×body1280valid
464.0ms2151×body640valid
412.0ms8160×body80valid
161.0ms1039×body320valid
58.0ms504×body160valid