Details

analyze1.8s (12%)

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)

sample92.0ms (0.6%)

Algorithm

1×

intervals

Results

33.0ms	65×	body	1024	valid
18.0ms	126×	body	128	valid
16.0ms	42×	body	512	valid
6.0ms	23×	body	256	valid
1.0ms	6×	body	128	invalid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify195.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	140	14
1	140	14

prune11.0ms (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

0.2b

Counts

2 → 2

Compiler

Compiled 30 to 27 computations (10% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite60.0ms (0.4%)

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:

29.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
10.0ms	(/.f64 x (tan.f64 B))
7.0ms	(/.f64 1 (sin.f64 B))

series905.0ms (6.1%)

Counts

3 → 25

Calls

3 calls:

493.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
364.0ms	(/.f64 x (tan.f64 B))
48.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 508 to 400 computations (21.3% saved)

simplify146.0ms (1%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4889	1707
1	4889	1707

prune239.0ms (1.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	107	12	119
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	109	12	121

Error

0.0b

Counts

121 → 12

Compiler

Compiled 1875 to 808 computations (56.9% saved)

localize21.0ms (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))))
0.2b	(/.f64 1 (sin.f64 B))
0.2b	(/.f64 1 (tan.f64 B))
0.2b	(*.f64 x (/.f64 1 (tan.f64 B)))

rewrite65.0ms (0.4%)

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:

17.0ms	(*.f64 x (/.f64 1 (tan.f64 B)))
16.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 1 (tan.f64 B))))
9.0ms	(/.f64 1 (tan.f64 B))
8.0ms	(/.f64 1 (sin.f64 B))

series1.0s (6.9%)

Counts

4 → 30

Calls

4 calls:

482.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 1 (tan.f64 B))))
341.0ms	(*.f64 x (/.f64 1 (tan.f64 B)))
138.0ms	(/.f64 1 (tan.f64 B))
51.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 640 to 510 computations (20.3% saved)

simplify211.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (166.0ms)

Iter	Nodes	Cost
0	5031	1732

prune249.0ms (1.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	144	12	156

Error

0.0b

Counts

156 → 12

Compiler

Compiled 2334 to 1196 computations (48.8% saved)

localize20.0ms (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)))
0.2b	(/.f64 1 (sin.f64 B))
0.2b	(/.f64 x (sin.f64 B))
0.2b	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))

rewrite61.0ms (0.4%)

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:

16.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
15.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
7.0ms	(/.f64 1 (sin.f64 B))
7.0ms	(/.f64 x (sin.f64 B))

series947.0ms (6.4%)

Counts

4 → 34

Calls

4 calls:

439.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
265.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
191.0ms	(/.f64 x (sin.f64 B))
51.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 735 to 566 computations (23% saved)

simplify140.0ms (1%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4950	1977
1	4950	1977

prune241.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	134	4	138
Fresh	3	7	10
Picked	1	0	1
Done	1	0	1
Total	139	11	150

Error

Counts

150 → 11

Compiler

Compiled 2561 to 951 computations (62.9% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) (cbrt.f64 (/.f64 x (tan.f64 B))))
0.6b	(cbrt.f64 (/.f64 x (tan.f64 B)))
0.6b	(cbrt.f64 (/.f64 x (tan.f64 B)))
0.6b	(cbrt.f64 (/.f64 x (tan.f64 B)))

rewrite83.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

110×	`cbrt-prod_binary64`
81×	`add-sqr-sqrt_binary64`
69×	`times-frac_binary64`
57×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
17×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `unswap-sqr_binary64`
7×	`cbrt-div_binary64` `associate-/r/_binary64` `div-inv_binary64` `tan-quot_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 → 150

Calls

4 calls:

32.0ms	(*.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) (cbrt.f64 (/.f64 x (tan.f64 B))))
6.0ms	(cbrt.f64 (/.f64 x (tan.f64 B)))
6.0ms	(cbrt.f64 (/.f64 x (tan.f64 B)))
6.0ms	(cbrt.f64 (/.f64 x (tan.f64 B)))

series3.1s (21.3%)

Counts

4 → 34

Calls

4 calls:

993.0ms	(*.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) (cbrt.f64 (/.f64 x (tan.f64 B))))
736.0ms	(cbrt.f64 (/.f64 x (tan.f64 B)))
711.0ms	(cbrt.f64 (/.f64 x (tan.f64 B)))
701.0ms	(cbrt.f64 (/.f64 x (tan.f64 B)))

Compiler

Compiled 1868 to 1293 computations (30.8% saved)

simplify264.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (191.0ms)

Iter	Nodes	Cost
0	4953	3529
1	4953	3529

prune341.0ms (2.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	184	11	195

Error

Counts

195 → 11

Compiler

Compiled 5243 to 1429 computations (72.7% saved)

regimes420.0ms (2.9%)

Accuracy

Total 0.2b remaining (97.6%)

Threshold costs 0.2b (97.6%)

Compiler

Compiled 1903 to 1359 computations (28.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	14
1	26	14

end0.0ms (0%)

sample4.1s (27.5%)

Algorithm

1×

intervals

Results

1.2s	2255×	body	1024	valid
554.0ms	4008×	body	128	valid
432.0ms	1152×	body	512	valid
166.0ms	578×	body	256	valid
28.0ms	169×	body	128	invalid
6.0ms	7×	body	2048	valid

Compiler

Compiled 647 to 465 computations (28.1% saved)

Details

analyze1.8s (12%)

sample92.0ms (0.6%)

simplify195.0ms (1.3%)

prune11.0ms (0.1%)

localize19.0ms (0.1%)

rewrite60.0ms (0.4%)

series905.0ms (6.1%)

simplify146.0ms (1%)

prune239.0ms (1.6%)

localize21.0ms (0.1%)

rewrite65.0ms (0.4%)

series1.0s (6.9%)

simplify211.0ms (1.4%)

prune249.0ms (1.7%)

localize20.0ms (0.1%)

rewrite61.0ms (0.4%)

series947.0ms (6.4%)

simplify140.0ms (1%)

prune241.0ms (1.6%)

localize27.0ms (0.2%)

rewrite83.0ms (0.6%)

series3.1s (21.3%)

simplify264.0ms (1.8%)

prune341.0ms (2.3%)

regimes420.0ms (2.9%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.1s (27.5%)

Profiling