Details

analyze919.0ms (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)

sample54.0ms (0.9%)

Algorithm

1×

intervals

Results

24.0ms	66×	body	1024	valid
11.0ms	147×	body	128	valid
6.0ms	25×	body	512	valid
3.0ms	18×	body	256	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify184.0ms (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 1 (sin.f64 B))
0.1b	(/.f64 x (tan.f64 B))

rewrite37.0ms (0.6%)

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:

18.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
6.0ms	(/.f64 x (tan.f64 B))
4.0ms	(/.f64 1 (sin.f64 B))

series527.0ms (8.4%)

Counts

3 → 9

Calls

3 calls:

252.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
239.0ms	(/.f64 x (tan.f64 B))
36.0ms	(/.f64 1 (sin.f64 B))

simplify78.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5791	1419

prune233.0ms (3.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	95	8	103
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	96	9	105

Merged error: 0.0b

Counts

105 → 9

Compiler

Compiled 3537 to 2082 computations (41.1% saved)

localize10.0ms (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 1 (sin.f64 B))
0.1b	(/.f64 x (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))

series563.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

222.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
182.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
124.0ms	(/.f64 x (sin.f64 B))
35.0ms	(/.f64 1 (sin.f64 B))

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4939	1611
1	4939	1611

prune133.0ms (2.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	116	9	125

Merged error: 0b

Counts

125 → 9

Compiler

Compiled 2576 to 1081 computations (58% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`times-frac_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

2 → 48

Calls

2 calls:

6.0ms	(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
5.0ms	(*.f64 x (cos.f64 B))

series203.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

148.0ms	(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
55.0ms	(*.f64 x (cos.f64 B))

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4946	882
1	4946	882

prune69.0ms (1.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	54	9	63

Merged error: 0b

Counts

63 → 9

Compiler

Compiled 1219 to 636 computations (47.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (/.f64 1 (sin.f64 B)))
0.5b	(cbrt.f64 (/.f64 1 (sin.f64 B)))
0.5b	(cbrt.f64 (/.f64 1 (sin.f64 B)))
0.5b	(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) (cbrt.f64 (/.f64 1 (sin.f64 B))))

rewrite50.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

119×	`cbrt-prod_binary64`
97×	`add-sqr-sqrt_binary64`
79×	`times-frac_binary64`
67×	`*-un-lft-identity_binary64`
57×	`add-cube-cbrt_binary64`
18×	`swap-sqr_binary64`
16×	`associate-r_binary64` `associate-l_binary64` `unswap-sqr_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `div-inv_binary64`
7×	`cbrt-div_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 153

Calls

4 calls:

17.0ms	(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) (cbrt.f64 (/.f64 1 (sin.f64 B))))
6.0ms	(cbrt.f64 (/.f64 1 (sin.f64 B)))
3.0ms	(cbrt.f64 (/.f64 1 (sin.f64 B)))
3.0ms	(cbrt.f64 (/.f64 1 (sin.f64 B)))

series789.0ms (12.5%)

Counts

4 → 12

Calls

4 calls:

246.0ms	(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) (cbrt.f64 (/.f64 1 (sin.f64 B))))
188.0ms	(cbrt.f64 (/.f64 1 (sin.f64 B)))
181.0ms	(cbrt.f64 (/.f64 1 (sin.f64 B)))
174.0ms	(cbrt.f64 (/.f64 1 (sin.f64 B)))

simplify84.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5484	3258

prune266.0ms (4.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	165	9	174

Merged error: 0b

Counts

174 → 9

Compiler

Compiled 5027 to 2954 computations (41.2% saved)

regimes42.0ms (0.7%)

Compiler: Compiled 272 to 204 computations (25% 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%)

Algorithm

1×

intervals

Results

803.0ms	2300×	body	1024	valid
294.0ms	3997×	body	128	valid
253.0ms	1149×	body	512	valid
80.0ms	550×	body	256	valid
10.0ms	158×	body	128	invalid
3.0ms	4×	body	2048	valid
1.0ms	2×	body	1024	invalid
0.0ms	1×	body	512	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 156 to 120 computations (23.1% saved)

Details

analyze919.0ms (14.6%)

sample54.0ms (0.9%)

simplify184.0ms (2.9%)

prune9.0ms (0.1%)

localize11.0ms (0.2%)

rewrite37.0ms (0.6%)

series527.0ms (8.4%)

simplify78.0ms (1.2%)

prune233.0ms (3.7%)

localize10.0ms (0.2%)

rewrite33.0ms (0.5%)

series563.0ms (8.9%)

simplify73.0ms (1.2%)

prune133.0ms (2.1%)

localize9.0ms (0.1%)

rewrite15.0ms (0.2%)

series203.0ms (3.2%)

simplify65.0ms (1%)

prune69.0ms (1.1%)

localize13.0ms (0.2%)

rewrite50.0ms (0.8%)

series789.0ms (12.5%)

simplify84.0ms (1.3%)

prune266.0ms (4.2%)

regimes42.0ms (0.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (29%)

Profiling