Details

sample325.0ms

Algorithm

intervals

Results

35.0ms	56×	body	1280	valid
14.0ms	41×	body	640	valid
12.0ms	156×	body	80	valid
5.0ms	23×	body	320	valid
1.0ms	8×	body	160	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	7
1	31	6
2	39	6
3	50	6
4	53	6
5	53	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
0.1b	(/ 1.0 (sin B))
0.2b	(/ 1.0 (tan B))
0.3b	(* x (/ 1.0 (tan B)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
28×	`add-cube-cbrt` `times-frac`
14×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`pow1` `associate-/r` `associate-/l`
3×	`cbrt-undiv` `div-exp` `associate-l` `div-inv`
2×	`tan-quot` `frac-2neg` `associate-*r/` `prod-exp` `clear-num` `sum-log` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `neg-sub0` `associate-+l-` `flip3-+` `pow-prod-down` `neg-log` `frac-add` `*-commutative` `flip-+` `distribute-neg-frac` `distribute-lft-out`

Counts

4 → 103

Calls

4 calls:

15.0ms	(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
5.0ms	(/ 1.0 (sin B))
6.0ms	(/ 1.0 (tan B))
29.0ms	(* x (/ 1.0 (tan B)))

series279.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
18.0ms	(/ 1.0 (sin B))
37.0ms	(/ 1.0 (tan B))
117.0ms	(* x (/ 1.0 (tan B)))

simplify50.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	419	664
1	1645	609
2	5001	604

prune426.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* 1.0 (/ (* x (cos B)) (sin B)))) (/ 1.0 (sin B)))
0.1b	(/ 1.0 (sin B))
0.1b	(* x (cos B))
0.2b	(/ (* x (cos B)) (sin B))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
13×	`add-exp-log` `add-cbrt-cube`
12×	`times-frac`
8×	`add-log-exp`
6×	`pow1` `associate-/r*`
4×	`associate-/l*`
3×	`cbrt-undiv` `div-exp` `associate-r` `associate-l` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `distribute-lft-out`
1×	`+-commutative` `neg-sub0` `associate-+l-` `distribute-rgt-neg-in` `flip3-+` `associate-r/` `pow-prod-down` `neg-log` `frac-add` `-commutative` `flip-+` `distribute-neg-frac` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

15.0ms	(+ (- (* 1.0 (/ (* x (cos B)) (sin B)))) (/ 1.0 (sin B)))
6.0ms	(/ 1.0 (sin B))
9.0ms	(* x (cos B))
12.0ms	(/ (* x (cos B)) (sin B))

series239.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(+ (- (* 1.0 (/ (* x (cos B)) (sin B)))) (/ 1.0 (sin B)))
18.0ms	(/ 1.0 (sin B))
36.0ms	(* x (cos B))
89.0ms	(/ (* x (cos B)) (sin B))

simplify45.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	359	603
1	1463	536
2	5002	530

prune381.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* 1.0 (/ x (/ (sin B) (cos B))))) (/ 1.0 (sin B)))
0.1b	(/ 1.0 (sin B))
0.1b	(/ x (/ (sin B) (cos B)))
0.2b	(/ (sin B) (cos B))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

93×	`times-frac`
64×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
8×	`div-inv` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`sum-log` `distribute-lft-out`
1×	`+-commutative` `neg-sub0` `associate-+l-` `quot-tan` `distribute-rgt-neg-in` `flip3-+` `associate-*r/` `neg-log` `frac-add` `associate-/r/` `flip-+` `distribute-neg-frac`

Counts

4 → 141

Calls

4 calls:

15.0ms	(+ (- (* 1.0 (/ x (/ (sin B) (cos B))))) (/ 1.0 (sin B)))
5.0ms	(/ 1.0 (sin B))
10.0ms	(/ x (/ (sin B) (cos B)))
9.0ms	(/ (sin B) (cos B))

series224.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(+ (- (* 1.0 (/ x (/ (sin B) (cos B))))) (/ 1.0 (sin B)))
18.0ms	(/ 1.0 (sin B))
89.0ms	(/ x (/ (sin B) (cos B)))
19.0ms	(/ (sin B) (cos B))

simplify63.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	575	1252
1	2344	1177
2	5001	1170

prune752.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos B)) (cbrt (cos B)))
0.4b	(cbrt (cos B))
0.4b	(cbrt (cos B))
0.4b	(cbrt (cos B))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

13.0ms	(* (cbrt (cos B)) (cbrt (cos B)))
1.0ms	(cbrt (cos B))
1.0ms	(cbrt (cos B))
1.0ms	(cbrt (cos B))

series448.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (cbrt (cos B)) (cbrt (cos B)))
102.0ms	(cbrt (cos B))
96.0ms	(cbrt (cos B))
97.0ms	(cbrt (cos B))

simplify110.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	351

prune450.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes105.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	22	9
2	28	9
3	28	9

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	1744×	body	1280	valid
535.0ms	1463×	body	640	valid
411.0ms	4886×	body	80	valid
179.0ms	690×	body	320	valid
57.0ms	334×	body	160	valid