Details

Time bar (total: 6.9s)

sample80.0ms

Algorithm
intervals
Results
22.0ms73×body1280valid
15.0ms76×body640valid
12.0ms251×body80valid
8.0ms28×body320valid
3.0ms28×body160valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0257
1507
2777
3967
41127
51277
61417
71417

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

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:
31.0ms
(* (/ (cos th) (sqrt 2.0)) (* a1 a1))
30.0ms
(* (/ (cos th) (sqrt 2.0)) (* a2 a2))
15.0ms
(/ (cos th) (sqrt 2.0))
10.0ms
(/ (cos th) (sqrt 2.0))

series345.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(* (/ (cos th) (sqrt 2.0)) (* a1 a1))
114.0ms
(* (/ (cos th) (sqrt 2.0)) (* a2 a2))
62.0ms
(/ (cos th) (sqrt 2.0))
58.0ms
(/ (cos th) (sqrt 2.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
05041284
120091156
250011136

prune450.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cos th) (/ (pow a2 2) (sqrt 2.0)))
0.3b
(* (/ (cos th) (sqrt 2.0)) (* a1 a1))
0.3b
(/ (pow a2 2) (sqrt 2.0))
0.7b
(/ (cos th) (sqrt 2.0))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
142×times-frac
121×add-sqr-sqrt
94×add-cube-cbrt *-un-lft-identity
77×sqrt-prod
53×associate-*r*
41×unpow-prod-down
33×add-exp-log
25×associate-*l* add-cbrt-cube
15×unpow2 sqr-pow
12×associate-/r* unswap-sqr
11×pow1 associate-/l*
10×prod-exp
9×div-exp
8×cbrt-unprod
5×cbrt-undiv
4×pow-prod-down div-inv add-log-exp
2×pow-to-exp frac-2neg pow-exp clear-num *-commutative
1×associate-*r/ associate-*l/
Counts
4 → 240
Calls
4 calls:
30.0ms
(* (cos th) (/ (pow a2 2) (sqrt 2.0)))
33.0ms
(* (/ (cos th) (sqrt 2.0)) (* a1 a1))
10.0ms
(/ (pow a2 2) (sqrt 2.0))
10.0ms
(/ (cos th) (sqrt 2.0))

series354.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(* (cos th) (/ (pow a2 2) (sqrt 2.0)))
112.0ms
(* (/ (cos th) (sqrt 2.0)) (* a1 a1))
66.0ms
(/ (pow a2 2) (sqrt 2.0))
63.0ms
(/ (cos th) (sqrt 2.0))

simplify74.0ms

Algorithm
egg-herbie
Counts
252 → 252
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06931786
130171552
250011540

prune763.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cos th) (/ (pow a2 2) (sqrt 2.0)))
0.1b
(* (cos th) (/ (pow a1 2) (sqrt 2.0)))
0.3b
(/ (pow a2 2) (sqrt 2.0))
0.3b
(/ (pow a1 2) (sqrt 2.0))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
208×times-frac
172×add-sqr-sqrt
128×add-cube-cbrt *-un-lft-identity
110×sqrt-prod
104×associate-*r*
82×unpow-prod-down
34×add-exp-log
30×unpow2 sqr-pow
18×add-cbrt-cube unswap-sqr
16×associate-/l*
12×div-exp associate-/r*
8×pow1 prod-exp
6×associate-*l*
4×cbrt-undiv pow-to-exp pow-exp cbrt-unprod div-inv add-log-exp
2×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 312
Calls
4 calls:
32.0ms
(* (cos th) (/ (pow a2 2) (sqrt 2.0)))
30.0ms
(* (cos th) (/ (pow a1 2) (sqrt 2.0)))
12.0ms
(/ (pow a2 2) (sqrt 2.0))
10.0ms
(/ (pow a1 2) (sqrt 2.0))

series342.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* (cos th) (/ (pow a2 2) (sqrt 2.0)))
110.0ms
(* (cos th) (/ (pow a1 2) (sqrt 2.0)))
59.0ms
(/ (pow a2 2) (sqrt 2.0))
64.0ms
(/ (pow a1 2) (sqrt 2.0))

simplify84.0ms

Algorithm
egg-herbie
Counts
324 → 324
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
07462292
133551966
250011946

prune674.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cos th) (* (fabs a1) (/ (fabs a1) (sqrt 2.0))))
0.2b
(* (fabs a1) (/ (fabs a1) (sqrt 2.0)))
0.3b
(/ (pow a2 2) (sqrt 2.0))
0.3b
(/ (fabs a1) (sqrt 2.0))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
86×times-frac
74×add-sqr-sqrt
66×add-cube-cbrt *-un-lft-identity
49×sqrt-prod
25×add-exp-log
23×associate-*r*
22×add-cbrt-cube
21×unpow-prod-down
12×associate-/r*
11×pow1 associate-/l*
7×prod-exp cbrt-unprod unpow2 sqr-pow
6×div-exp associate-*l*
4×cbrt-undiv pow-prod-down add-log-exp
3×associate-*r/ div-inv unswap-sqr
2×frac-2neg clear-num *-commutative
1×pow-to-exp pow-exp
Counts
4 → 178
Calls
4 calls:
30.0ms
(* (cos th) (* (fabs a1) (/ (fabs a1) (sqrt 2.0))))
17.0ms
(* (fabs a1) (/ (fabs a1) (sqrt 2.0)))
10.0ms
(/ (pow a2 2) (sqrt 2.0))
8.0ms
(/ (fabs a1) (sqrt 2.0))

series261.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* (cos th) (* (fabs a1) (/ (fabs a1) (sqrt 2.0))))
68.0ms
(* (fabs a1) (/ (fabs a1) (sqrt 2.0)))
62.0ms
(/ (pow a2 2) (sqrt 2.0))
52.0ms
(/ (fabs a1) (sqrt 2.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04611396
120531167
250011145

prune432.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes206.0ms

Accuracy

0% (0.4b 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
02220
12220

end0.0ms

sample2.3s

Algorithm
intervals
Results
783.0ms2511×body1280valid
454.0ms2182×body640valid
380.0ms7971×body80valid
150.0ms1046×body320valid
59.0ms589×body160valid