Details

Time bar (total: 4.2s)

sample87.0ms

Algorithm
intervals
Results
35.0ms63×body1280valid
24.0ms56×body640valid
11.0ms141×body80valid
5.0ms21×body320valid
2.0ms12×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0187
1336
2436
3546
4606
5626
6626

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite6.0ms

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 (tan B))
2.0ms
(/ 1.0 (sin B))

series149.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(fma (- x) (/ 1.0 (tan B)) (/ 1.0 (sin B)))
37.0ms
(/ 1.0 (tan B))
18.0ms
(/ 1.0 (sin B))

simplify54.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0246416
1694382
22127382
35002377

prune229.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma (- x) (* 1.0 (/ (cos B) (sin B))) (/ 1.0 (sin B)))
0.2b
(/ 1.0 (sin B))
0.3b
(/ (cos B) (sin B))

rewrite7.0ms

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×fma-udef
Counts
3 → 68
Calls
3 calls:
0.0ms
(fma (- x) (* 1.0 (/ (cos B) (sin B))) (/ 1.0 (sin B)))
2.0ms
(/ 1.0 (sin B))
3.0ms
(/ (cos B) (sin B))

series135.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(fma (- x) (* 1.0 (/ (cos B) (sin B))) (/ 1.0 (sin B)))
18.0ms
(/ 1.0 (sin B))
22.0ms
(/ (cos B) (sin B))

simplify58.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0241480
1721438
22196438
35001433

prune232.0ms

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))

rewrite22.0ms

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))
13.0ms
(* (/ 1.0 (sin B)) (- 1 (* x (cos B))))
2.0ms
(/ 1.0 (sin B))

series133.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* x (cos B))
74.0ms
(* (/ 1.0 (sin B)) (- 1 (* x (cos B))))
23.0ms
(/ 1.0 (sin B))

simplify56.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0415714
12101633
25001629

prune257.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×pow1
3×times-frac associate-*r* associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- frac-2neg pow-prod-down clear-num *-commutative flip-- div-inv associate-/l* unswap-sqr
Counts
2 → 45
Calls
2 calls:
4.0ms
(* x (cos B))
8.0ms
(/ (* 1.0 (- 1 (* x (cos B)))) (sin B))

series114.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* x (cos B))
78.0ms
(/ (* 1.0 (- 1 (* x (cos B)))) (sin B))

simplify36.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0248316
11125266
25001263

prune114.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes80.0ms

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
0136
1136

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.0s1731×body1280valid
527.0ms1488×body640valid
402.0ms4824×body80valid
183.0ms709×body320valid
62.0ms361×body160valid