Details

analyze899.0ms (12.7%)

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)

sample51.0ms (0.7%)

Algorithm

1×

intervals

Results

17.0ms	66×	body	1024	valid
11.0ms	143×	body	128	valid
6.0ms	29×	body	512	valid
2.0ms	17×	body	256	valid
1.0ms	1×	body	2048	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify116.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

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

Error

0.1b

Counts

2 → 2

Compiler

Compiled 30 to 27 computations (10% saved)

localize9.0ms (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))

rewrite132.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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-/l_binary64` `associate-/r_binary64` `difference-of-squares_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `div-inv_binary64`
3×	`div-exp_binary64` `distribute-lft-out--_binary64`
2×	`cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `tan-quot_binary64` `associate-/r/_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64` `1-exp_binary64` `rec-exp_binary64` `diff-log_binary64` `frac-sub_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64`

Counts

3 → 94

Calls

3 calls:

16.0ms	(-.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))

Compiler

Compiled 1561 to 635 computations (59.3% saved)

series522.0ms (7.4%)

Error

0.1b

Counts

3 → 27

Calls

3 calls:

263.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
201.0ms	(/.f64 x (tan.f64 B))
33.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 926 to 610 computations (34.1% saved)

simplify97.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4929	1754
1	4929	1754

prune110.0ms (1.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	113	8	121
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	115	8	123

Error

0.0b

Counts

123 → 8

Compiler

Compiled 1849 to 787 computations (57.4% saved)

localize9.0ms (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 x (sin.f64 B))
0.1b	(/.f64 1 (sin.f64 B))
0.2b	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))

rewrite120.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 104

Calls

4 calls:

8.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
7.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
4.0ms	(/.f64 1 (sin.f64 B))
3.0ms	(/.f64 x (sin.f64 B))

Compiler

Compiled 2008 to 687 computations (65.8% saved)

series529.0ms (7.5%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

235.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
142.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
93.0ms	(/.f64 x (sin.f64 B))
31.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1320 to 836 computations (36.7% saved)

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5026	2024

prune121.0ms (1.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	141	7	148

Error

0.0b

Counts

148 → 7

Compiler

Compiled 2497 to 922 computations (63.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite111.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64` `times-frac_binary64`
15×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
8×	`div-inv_binary64`
7×	`pow1_binary64` `cancel-sign-sub-inv_binary64`
6×	`add-log-exp_binary64` `associate-/r*_binary64`
4×	`div-exp_binary64` `associate-/l*_binary64`
3×	`cbrt-undiv_binary64` `associate-l_binary64` `associate-r_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `distribute-lft-out--_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64` `1-exp_binary64` `rec-exp_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `diff-log_binary64` `frac-sub_binary64` `sub-div_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64`

Counts

4 → 98

Calls

4 calls:

11.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
5.0ms	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
4.0ms	(*.f64 x (cos.f64 B))
3.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1848 to 644 computations (65.2% saved)

series501.0ms (7.1%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

229.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
144.0ms	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
69.0ms	(*.f64 x (cos.f64 B))
34.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1316 to 841 computations (36.1% saved)

simplify85.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5059	1925

prune105.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	134	7	141

Error

0.0b

Counts

141 → 7

Compiler

Compiled 2251 to 889 computations (60.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)

rewrite90.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`add-exp-log_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1889 to 624 computations (67% saved)

series327.0ms (4.6%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

92.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
79.0ms	(cbrt.f64 x)
72.0ms	(cbrt.f64 x)
72.0ms	(cbrt.f64 x)

Compiler

Compiled 843 to 572 computations (32.1% saved)

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune81.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	85	7	92

Error

0.0b

Counts

92 → 7

Compiler

Compiled 1998 to 751 computations (62.4% saved)

regimes330.0ms (4.7%)

Accuracy

Total 0.1b remaining (94.4%)

Threshold costs 0.1b (94.4%)

Compiler

Compiled 3001 to 2196 computations (26.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	14
1	26	14

end0.0ms (0%)

sample2.5s (36.1%)

Algorithm

1×

intervals

Results

632.0ms	2310×	body	1024	valid
286.0ms	3983×	body	128	valid
221.0ms	1154×	body	512	valid
82.0ms	546×	body	256	valid
13.0ms	187×	body	128	invalid
3.0ms	7×	body	2048	valid
0.0ms	1×	body	1024	invalid
0.0ms	1×	body	512	invalid

Compiler

Compiled 1013 to 744 computations (26.6% saved)

Details

analyze899.0ms (12.7%)

sample51.0ms (0.7%)

simplify116.0ms (1.6%)

prune6.0ms (0.1%)

localize9.0ms (0.1%)

rewrite132.0ms (1.9%)

series522.0ms (7.4%)

simplify97.0ms (1.4%)

prune110.0ms (1.6%)

localize9.0ms (0.1%)

rewrite120.0ms (1.7%)

series529.0ms (7.5%)

simplify66.0ms (0.9%)

prune121.0ms (1.7%)

localize9.0ms (0.1%)

rewrite111.0ms (1.6%)

series501.0ms (7.1%)

simplify85.0ms (1.2%)

prune105.0ms (1.5%)

localize14.0ms (0.2%)

rewrite90.0ms (1.3%)

series327.0ms (4.6%)

simplify76.0ms (1.1%)

prune81.0ms (1.1%)

regimes330.0ms (4.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.5s (36.1%)

Profiling