Details

analyze927.0ms (13.1%)

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)

sample53.0ms (0.7%)

Algorithm

1×

intervals

Results

23.0ms	86×	body	1024	valid
8.0ms	117×	body	128	valid
7.0ms	33×	body	512	valid
3.0ms	20×	body	256	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify114.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	140	14
1	140	14

prune6.0ms (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 30 to 27 computations (10% saved)

localize10.0ms (0.1%)

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))
0.2b	(/.f64 x (tan.f64 B))

rewrite34.0ms (0.5%)

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:

17.0ms	(-.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))

series692.0ms (9.7%)

Counts

3 → 25

Calls

3 calls:

389.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
275.0ms	(/.f64 x (tan.f64 B))
27.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 558 to 458 computations (17.9% saved)

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4952	1749
1	4952	1749

prune115.0ms (1.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	111	8	119
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	113	8	121

Merged error: 0.0b

Counts

121 → 8

Compiler

Compiled 1837 to 805 computations (56.2% saved)

localize9.0ms (0.1%)

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))
0.2b	(*.f64 x (/.f64 1 (tan.f64 B)))

rewrite32.0ms (0.5%)

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)))
8.0ms	(-.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))

series751.0ms (10.6%)

Counts

4 → 31

Calls

4 calls:

384.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 1 (tan.f64 B))))
264.0ms	(*.f64 x (/.f64 1 (tan.f64 B)))
72.0ms	(/.f64 1 (tan.f64 B))
31.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 706 to 588 computations (16.7% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4941	1808
1	4941	1808

prune120.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	145	8	153

Merged error: 0.0b

Counts

153 → 8

Compiler

Compiled 2326 to 1227 computations (47.2% saved)

localize10.0ms (0.1%)

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))

rewrite34.0ms (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:

11.0ms	(-.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 x (sin.f64 B))
4.0ms	(/.f64 1 (sin.f64 B))

series699.0ms (9.8%)

Counts

4 → 34

Calls

4 calls:

343.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
196.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
130.0ms	(/.f64 x (sin.f64 B))
30.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 801 to 648 computations (19.1% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4931	2025
1	4931	2025

prune118.0ms (1.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	133	5	138
Fresh	3	3	6
Picked	1	0	1
Done	1	0	1
Total	138	8	146

Merged error: 0b

Counts

146 → 8

Compiler

Compiled 2543 to 981 computations (61.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
0.1b	(/.f64 1 (sin.f64 B))
0.2b	(/.f64 (cos.f64 B) (sin.f64 B))
0.2b	(*.f64 x (/.f64 (cos.f64 B) (sin.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×	`associate-r_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64`
4×	`div-exp_binary64`
3×	`cbrt-undiv_binary64` `associate-r/_binary64` `associate-l*_binary64` `div-inv_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:

10.0ms	(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
8.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
4.0ms	(/.f64 (cos.f64 B) (sin.f64 B))
4.0ms	(/.f64 1 (sin.f64 B))

series609.0ms (8.6%)

Counts

4 → 31

Calls

4 calls:

343.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
187.0ms	(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
47.0ms	(/.f64 (cos.f64 B) (sin.f64 B))
31.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 713 to 588 computations (17.5% saved)

simplify93.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4952	2081
1	4952	2081

prune104.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	135	8	143

Merged error: 0b

Counts

143 → 8

Compiler

Compiled 2337 to 862 computations (63.1% saved)

regimes200.0ms (2.8%)

Compiler: Compiled 1855 to 1296 computations (30.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	14
1	36	14

end0.0ms (0%)

sample2.1s (29.4%)

Algorithm

1×

intervals

Results

629.0ms	2266×	body	1024	valid
297.0ms	4001×	body	128	valid
228.0ms	1141×	body	512	valid
85.0ms	585×	body	256	valid
12.0ms	170×	body	128	invalid
3.0ms	7×	body	2048	valid

Compiler

Compiled 631 to 444 computations (29.6% saved)

Details

analyze927.0ms (13.1%)

sample53.0ms (0.7%)

simplify114.0ms (1.6%)

prune6.0ms (0.1%)

localize10.0ms (0.1%)

rewrite34.0ms (0.5%)

series692.0ms (9.7%)

simplify82.0ms (1.2%)

prune115.0ms (1.6%)

localize9.0ms (0.1%)

rewrite32.0ms (0.5%)

series751.0ms (10.6%)

simplify78.0ms (1.1%)

prune120.0ms (1.7%)

localize10.0ms (0.1%)

rewrite34.0ms (0.5%)

series699.0ms (9.8%)

simplify78.0ms (1.1%)

prune118.0ms (1.7%)

localize9.0ms (0.1%)

rewrite33.0ms (0.5%)

series609.0ms (8.6%)

simplify93.0ms (1.3%)

prune104.0ms (1.5%)

regimes200.0ms (2.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.1s (29.4%)

Profiling