Details

analyze920.0ms (14.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
18.7%	81.2%	0.1%	7
25%	73.4%	1.7%	8
28.1%	68.7%	3.2%	9
31.2%	62.8%	6%	10
32.8%	60.1%	7.1%	11
34.3%	56.7%	9%	12
35.1%	55.2%	9.7%	13
35.9%	53.4%	10.7%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample59.0ms (0.9%)

Algorithm

1×

intervals

Results

28.0ms	79×	body	1024	valid
10.0ms	135×	body	128	valid
7.0ms	31×	body	512	valid
2.0ms	11×	body	256	valid
1.0ms	6×	body	128	invalid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify185.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	130	14
1	130	14

prune9.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 2

Compiler

Compiled 51 to 46 computations (9.8% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.1b	(/.f64 x (tan.f64 B))
0.1b	(/.f64 1 (sin.f64 B))

rewrite45.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
36×	`times-frac_binary64`
35×	`*-un-lft-identity_binary64`
26×	`add-cube-cbrt_binary64`
14×	`cancel-sign-sub-inv_binary64`
9×	`add-exp-log_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-/r_binary64` `difference-of-squares_binary64` `associate-/l_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `div-inv_binary64`
3×	`distribute-lft-out--_binary64` `div-exp_binary64`
2×	`cbrt-undiv_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `tan-quot_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `1-exp_binary64` `inv-pow_binary64` `rec-exp_binary64` `flip--_binary64` `pow-flip_binary64` `frac-sub_binary64`

Counts

3 → 94

Calls

3 calls:

25.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
6.0ms	(/.f64 1 (sin.f64 B))
4.0ms	(/.f64 x (tan.f64 B))

series530.0ms (8.4%)

Counts

3 → 9

Calls

3 calls:

240.0ms	(/.f64 x (tan.f64 B))
238.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
53.0ms	(/.f64 1 (sin.f64 B))

simplify74.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5791	1419

prune274.0ms (4.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	97	8	105

Merged error: 0.0b

Counts

105 → 8

Compiler

Compiled 4151 to 2573 computations (38% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
0.1b	(/.f64 x (sin.f64 B))
0.1b	(/.f64 1 (sin.f64 B))
0.2b	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))

rewrite33.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
15×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64` `associate-l_binary64`
7×	`pow1_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64`
4×	`div-exp_binary64`
3×	`associate-r_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `associate-*l/_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `1-exp_binary64` `cancel-sign-sub-inv_binary64` `inv-pow_binary64` `rec-exp_binary64` `sub-div_binary64` `flip--_binary64` `pow-flip_binary64` `frac-sub_binary64` `*-commutative_binary64`

Counts

4 → 104

Calls

4 calls:

9.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
8.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
4.0ms	(/.f64 1 (sin.f64 B))
4.0ms	(/.f64 x (sin.f64 B))

series539.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

222.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
179.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
102.0ms	(/.f64 x (sin.f64 B))
36.0ms	(/.f64 1 (sin.f64 B))

simplify70.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4939	1611
1	4939	1611

prune136.0ms (2.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	113	3	116
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	117	7	124

Merged error: 0b

Counts

124 → 7

Compiler

Compiled 2674 to 1139 computations (57.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 1 (tan.f64 B))))
0.1b	(/.f64 1 (sin.f64 B))
0.2b	(/.f64 1 (tan.f64 B))
0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))

rewrite37.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64` `times-frac_binary64`
28×	`add-cube-cbrt_binary64`
21×	`add-exp-log_binary64`
14×	`associate-r_binary64`
13×	`add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64` `div-exp_binary64`
4×	`prod-exp_binary64`
3×	`1-exp_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `div-inv_binary64`
2×	`cbrt-unprod_binary64` `associate-*r/_binary64` `associate-/r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `frac-sub_binary64` `tan-quot_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cancel-sign-sub-inv_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 114

Calls

4 calls:

9.0ms	(*.f64 x (/.f64 1 (tan.f64 B)))
9.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 1 (tan.f64 B))))
4.0ms	(/.f64 1 (tan.f64 B))
4.0ms	(/.f64 1 (sin.f64 B))

series603.0ms (9.5%)

Counts

4 → 12

Calls

4 calls:

244.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 1 (tan.f64 B))))
232.0ms	(*.f64 x (/.f64 1 (tan.f64 B)))
92.0ms	(/.f64 1 (tan.f64 B))
34.0ms	(/.f64 1 (sin.f64 B))

simplify80.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4841	1438
1	4841	1438

prune100.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	126	7	133

Merged error: 0b

Counts

133 → 7

Compiler

Compiled 1995 to 1009 computations (49.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (sin.f64 B))
0.1b	(/.f64 (sin.f64 B) x)
0.2b	(*.f64 (/.f64 1 (/.f64 (sin.f64 B) x)) (cos.f64 B))
0.3b	(/.f64 1 (/.f64 (sin.f64 B) x))

rewrite57.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

165×	`times-frac_binary64`
112×	`add-sqr-sqrt_binary64`
100×	`*-un-lft-identity_binary64`
98×	`add-cube-cbrt_binary64`
44×	`associate-l_binary64`
40×	`add-exp-log_binary64`
22×	`add-cbrt-cube_binary64`
19×	`associate-/r*_binary64`
17×	`div-exp_binary64`
11×	`div-inv_binary64`
9×	`associate-/l*_binary64`
8×	`pow1_binary64` `cbrt-undiv_binary64`
7×	`prod-exp_binary64`
5×	`1-exp_binary64` `unswap-sqr_binary64` `rec-exp_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-unprod_binary64` `associate-r_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`associate-/r/_binary64` `inv-pow_binary64` `pow-flip_binary64`
1×	`pow-prod-down_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 206

Calls

4 calls:

16.0ms	(*.f64 (/.f64 1 (/.f64 (sin.f64 B) x)) (cos.f64 B))
7.0ms	(/.f64 1 (/.f64 (sin.f64 B) x))
4.0ms	(/.f64 (sin.f64 B) x)
4.0ms	(/.f64 1 (sin.f64 B))

series309.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

144.0ms	(*.f64 (/.f64 1 (/.f64 (sin.f64 B) x)) (cos.f64 B))
84.0ms	(/.f64 1 (/.f64 (sin.f64 B) x))
45.0ms	(/.f64 (sin.f64 B) x)
35.0ms	(/.f64 1 (sin.f64 B))

simplify112.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5018	3064

prune213.0ms (3.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	218	7	225

Merged error: 0b

Counts

225 → 7

Compiler

Compiled 4504 to 1792 computations (60.2% saved)

regimes37.0ms (0.6%)

Compiler: Compiled 228 to 156 computations (31.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	14
1	26	14

end0.0ms (0%)

sample1.8s (29.2%)

Algorithm

1×

intervals

Results

848.0ms	2317×	body	1024	valid
311.0ms	4081×	body	128	valid
238.0ms	1077×	body	512	valid
82.0ms	519×	body	256	valid
12.0ms	176×	body	128	invalid
5.0ms	6×	body	2048	valid

Compiler

Compiled 134 to 96 computations (28.4% saved)

Details

analyze920.0ms (14.6%)

sample59.0ms (0.9%)

simplify185.0ms (2.9%)

prune9.0ms (0.1%)

localize11.0ms (0.2%)

rewrite45.0ms (0.7%)

series530.0ms (8.4%)

simplify74.0ms (1.2%)

prune274.0ms (4.3%)

localize11.0ms (0.2%)

rewrite33.0ms (0.5%)

series539.0ms (8.5%)

simplify70.0ms (1.1%)

prune136.0ms (2.2%)

localize11.0ms (0.2%)

rewrite37.0ms (0.6%)

series603.0ms (9.5%)

simplify80.0ms (1.3%)

prune100.0ms (1.6%)

localize12.0ms (0.2%)

rewrite57.0ms (0.9%)

series309.0ms (4.9%)

simplify112.0ms (1.8%)

prune213.0ms (3.4%)

regimes37.0ms (0.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (29.2%)

Profiling