Details

analyze1.1s (15.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	546	28
1	546	28
0	2	2
1	2	2

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)

sample57.0ms (0.8%)

Algorithm

1×

intervals

Results

19.0ms	70×	body	1024	valid
11.0ms	37×	body	512	valid
10.0ms	134×	body	128	valid
2.0ms	15×	body	256	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	140	14
1	140	14

prune7.0ms (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))

rewrite125.0ms (1.8%)

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)))
5.0ms	(/.f64 x (tan.f64 B))
3.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1561 to 635 computations (59.3% saved)

series554.0ms (8%)

Error

0.1b

Counts

3 → 26

Calls

3 calls:

290.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
210.0ms	(/.f64 x (tan.f64 B))
30.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 902 to 594 computations (34.1% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4890	1726
1	4890	1726

prune108.0ms (1.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	112	8	120
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	114	8	122

Error

0.0b

Counts

122 → 8

Compiler

Compiled 1821 to 774 computations (57.5% 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))

rewrite113.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

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:

7.0ms	(-.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))
3.0ms	(/.f64 1 (sin.f64 B))
3.0ms	(/.f64 x (sin.f64 B))

Compiler

Compiled 2008 to 687 computations (65.8% saved)

series531.0ms (7.6%)

Error

0.0b

Counts

4 → 35

Calls

4 calls:

236.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
152.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
86.0ms	(/.f64 x (sin.f64 B))
32.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1293 to 820 computations (36.6% saved)

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4951	1996
1	4951	1996

prune114.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	137	2	139
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	140	7	147

Error

Counts

147 → 7

Compiler

Compiled 2478 to 911 computations (63.2% saved)

localize11.0ms (0.2%)

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

rewrite109.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

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×	`pow-prod-down_binary64` `unswap-sqr_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`

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 (7.2%)

Error

Counts

4 → 35

Calls

4 calls:

223.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
155.0ms	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
70.0ms	(*.f64 x (cos.f64 B))
27.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1289 to 825 computations (36% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4956	1904
1	4956	1904

prune106.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	133	7	140

Error

Counts

140 → 7

Compiler

Compiled 2237 to 884 computations (60.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)

rewrite74.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

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 1524 to 464 computations (69.6% saved)

series358.0ms (5.2%)

Error

Counts

4 → 12

Calls

4 calls:

104.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
85.0ms	(cbrt.f64 x)
80.0ms	(cbrt.f64 x)
79.0ms	(cbrt.f64 x)

Compiler

Compiled 663 to 472 computations (28.8% saved)

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune66.0ms (0.9%)

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

Counts

92 → 7

Compiler

Compiled 1573 to 554 computations (64.8% saved)

regimes273.0ms (3.9%)

Accuracy

Total 0.1b remaining (95.7%)

Threshold costs 0.1b (95.7%)

Compiler

Compiled 2542 to 1863 computations (26.7% 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%)

sample2.4s (34.7%)

Algorithm

1×

intervals

Results

645.0ms	2292×	body	1024	valid
295.0ms	4012×	body	128	valid
226.0ms	1104×	body	512	valid
81.0ms	585×	body	256	valid
12.0ms	179×	body	128	invalid
3.0ms	7×	body	2048	valid

Compiler

Compiled 860 to 633 computations (26.4% saved)

Details

analyze1.1s (15.7%)

sample57.0ms (0.8%)

simplify14.0ms (0.2%)

prune7.0ms (0.1%)

localize9.0ms (0.1%)

rewrite125.0ms (1.8%)

series554.0ms (8%)

simplify78.0ms (1.1%)

prune108.0ms (1.6%)

localize9.0ms (0.1%)

rewrite113.0ms (1.6%)

series531.0ms (7.6%)

simplify66.0ms (0.9%)

prune114.0ms (1.6%)

localize11.0ms (0.2%)

rewrite109.0ms (1.6%)

series501.0ms (7.2%)

simplify78.0ms (1.1%)

prune106.0ms (1.5%)

localize11.0ms (0.2%)

rewrite74.0ms (1.1%)

series358.0ms (5.2%)

simplify73.0ms (1.1%)

prune66.0ms (0.9%)

regimes273.0ms (3.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.4s (34.7%)

Profiling