Details

Time bar (total: 4.7s)

sample341.0ms

Algorithm
intervals
Results
34.0ms59×body1280valid
18.0ms53×body640valid
12.0ms138×body80valid
6.0ms25×body320valid
2.0ms10×body160valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0187
1336
2436
3546
4606
5626
6626

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma (- x) (/ 1.0 (tan B)) (/ 1.0 (sin B)))
0.2b
(/ 1.0 (sin B))
0.2b
(/ 1.0 (tan B))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
7×add-exp-log add-cbrt-cube
6×associate-/r* associate-/l*
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg div-exp clear-num div-inv
1×tan-quot associate-/r/ fma-udef
Counts
3 → 69
Calls
3 calls:
0.0ms
(fma (- x) (/ 1.0 (tan B)) (/ 1.0 (sin B)))
2.0ms
(/ 1.0 (sin B))
5.0ms
(/ 1.0 (tan B))

series179.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(fma (- x) (/ 1.0 (tan B)) (/ 1.0 (sin B)))
22.0ms
(/ 1.0 (sin B))
55.0ms
(/ 1.0 (tan B))

simplify59.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0246416
1694382
22127382
35002377

prune249.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (cos B))
0.2b
(* (/ 1.0 (sin B)) (- 1 (* x (cos B))))
0.2b
(/ 1.0 (sin B))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×times-frac
16×associate-*l*
12×add-exp-log add-cbrt-cube
7×pow1
6×associate-*r* prod-diff
5×distribute-rgt-in distribute-lft-in
3×expm1-log1p-u prod-exp associate-/r* cbrt-unprod log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv frac-times sub-neg flip3-- associate-*r/ div-exp pow-prod-down *-commutative flip-- div-inv
1×frac-2neg associate-*l/ clear-num
Counts
3 → 97
Calls
3 calls:
3.0ms
(* x (cos B))
14.0ms
(* (/ 1.0 (sin B)) (- 1 (* x (cos B))))
2.0ms
(/ 1.0 (sin B))

series136.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* x (cos B))
76.0ms
(* (/ 1.0 (sin B)) (- 1 (* x (cos B))))
20.0ms
(/ 1.0 (sin B))

simplify55.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0415714
12101633
25001629

prune257.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (cos B))
0.2b
(/ (- 1 (* x (cos B))) (sin B))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv unswap-sqr
Counts
2 → 52
Calls
2 calls:
3.0ms
(* x (cos B))
7.0ms
(/ (- 1 (* x (cos B))) (sin B))

series110.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* x (cos B))
70.0ms
(/ (- 1 (* x (cos B))) (sin B))

simplify77.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0201379
1826347
23353343
35001342

prune154.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin B) (- 1 (* x (cos B))))
0.1b
(* x (cos B))
0.2b
(/ 1 (/ (sin B) (- 1 (* x (cos B)))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
59×add-sqr-sqrt
57×add-cube-cbrt *-un-lft-identity
18×add-exp-log associate-/r*
12×add-cbrt-cube
11×associate-/r/
8×div-exp
6×pow1 div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv
3×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×pow-flip pow-prod-down prod-exp *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
3 → 137
Calls
3 calls:
6.0ms
(/ (sin B) (- 1 (* x (cos B))))
3.0ms
(* x (cos B))
8.0ms
(/ 1 (/ (sin B) (- 1 (* x (cos B)))))

series150.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (sin B) (- 1 (* x (cos B))))
37.0ms
(* x (cos B))
66.0ms
(/ 1 (/ (sin B) (- 1 (* x (cos B)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05081455
126701245
250011231

prune272.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.1s1737×body1280valid
506.0ms1420×body640valid
400.0ms4887×body80valid
170.0ms704×body320valid
66.0ms361×body160valid