Details

analyze1.7s (13%)

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)

sample95.0ms (0.7%)

Algorithm

1×

intervals

Results

37.0ms	71×	body	1024	valid
16.0ms	128×	body	128	valid
12.0ms	35×	body	512	valid
5.0ms	22×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify200.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	140	14
1	140	14

prune12.0ms (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)

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

rewrite226.0ms (1.7%)

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:

34.0ms	(-.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))

Compiler

Compiled 1561 to 635 computations (59.3% saved)

series902.0ms (6.9%)

Error

0.1b

Counts

3 → 25

Calls

3 calls:

485.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
328.0ms	(/.f64 x (tan.f64 B))
51.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 844 to 557 computations (34% saved)

simplify155.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4914	1698
1	4914	1698

prune192.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	110	9	119
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	112	9	121

Error

0.0b

Counts

121 → 9

Compiler

Compiled 1796 to 759 computations (57.7% saved)

localize18.0ms (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 1 (sin.f64 B))
0.1b	(*.f64 x (cos.f64 B))
0.2b	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))

rewrite195.0ms (1.5%)

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×	`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:

22.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
9.0ms	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
8.0ms	(*.f64 x (cos.f64 B))
7.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1848 to 644 computations (65.2% saved)

series850.0ms (6.5%)

Error

0.0b

Counts

4 → 32

Calls

4 calls:

394.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
240.0ms	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
123.0ms	(*.f64 x (cos.f64 B))
54.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1143 to 725 computations (36.6% saved)

simplify154.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4961	1820
1	4961	1820

prune185.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	131	8	139

Error

0.0b

Counts

139 → 8

Compiler

Compiled 2156 to 834 computations (61.3% saved)

localize17.0ms (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))
0.3b	(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))

rewrite202.0ms (1.5%)

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-r_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-/l_binary64` `associate-/r_binary64`
4×	`div-exp_binary64`
3×	`cbrt-undiv_binary64` `associate-r/_binary64` `associate-l*_binary64` `div-inv_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:

14.0ms	(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
14.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
8.0ms	(/.f64 (cos.f64 B) (sin.f64 B))
7.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 2036 to 687 computations (66.3% saved)

series812.0ms (6.2%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

440.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
222.0ms	(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
57.0ms	(/.f64 (cos.f64 B) (sin.f64 B))
57.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1026 to 664 computations (35.3% saved)

simplify180.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4926	1977
1	4926	1977

prune184.0ms (1.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	133	8	141

Error

0.0b

Counts

141 → 8

Compiler

Compiled 2347 to 824 computations (64.9% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (/.f64 1 (sin.f64 B)))
0.4b	(cbrt.f64 (/.f64 1 (sin.f64 B)))
0.4b	(cbrt.f64 (/.f64 1 (sin.f64 B)))
0.5b	(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) (cbrt.f64 (/.f64 1 (sin.f64 B))))

rewrite521.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

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×	`unswap-sqr_binary64` `associate-l_binary64` `associate-r_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×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64`

Counts

4 → 153

Calls

4 calls:

35.0ms	(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) (cbrt.f64 (/.f64 1 (sin.f64 B))))
5.0ms	(cbrt.f64 (/.f64 1 (sin.f64 B)))
5.0ms	(cbrt.f64 (/.f64 1 (sin.f64 B)))
5.0ms	(cbrt.f64 (/.f64 1 (sin.f64 B)))

Compiler

Compiled 4822 to 2840 computations (41.1% saved)

series879.0ms (6.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

260.0ms	(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) (cbrt.f64 (/.f64 1 (sin.f64 B))))
191.0ms	(cbrt.f64 (/.f64 1 (sin.f64 B)))
187.0ms	(cbrt.f64 (/.f64 1 (sin.f64 B)))
181.0ms	(cbrt.f64 (/.f64 1 (sin.f64 B)))

Compiler

Compiled 1584 to 1201 computations (24.2% saved)

simplify168.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5472	3526

prune500.0ms (3.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	177	8	185

Error

Counts

185 → 8

Compiler

Compiled 5082 to 2961 computations (41.7% saved)

regimes492.0ms (3.7%)

Accuracy

Total 0.1b remaining (93.7%)

Threshold costs 0.1b (93.7%)

Compiler

Compiled 2254 to 1737 computations (22.9% 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%)

sample4.2s (32.3%)

Algorithm

1×

intervals

Results

1.1s	2261×	body	1024	valid
517.0ms	4025×	body	128	valid
409.0ms	1148×	body	512	valid
150.0ms	560×	body	256	valid
20.0ms	166×	body	128	invalid
5.0ms	6×	body	2048	valid

Compiler

Compiled 764 to 591 computations (22.6% saved)

Details

analyze1.7s (13%)

sample95.0ms (0.7%)

simplify200.0ms (1.5%)

prune12.0ms (0.1%)

localize19.0ms (0.1%)

rewrite226.0ms (1.7%)

series902.0ms (6.9%)

simplify155.0ms (1.2%)

prune192.0ms (1.5%)

localize18.0ms (0.1%)

rewrite195.0ms (1.5%)

series850.0ms (6.5%)

simplify154.0ms (1.2%)

prune185.0ms (1.4%)

localize17.0ms (0.1%)

rewrite202.0ms (1.5%)

series812.0ms (6.2%)

simplify180.0ms (1.4%)

prune184.0ms (1.4%)

localize24.0ms (0.2%)

rewrite521.0ms (4%)

series879.0ms (6.7%)

simplify168.0ms (1.3%)

prune500.0ms (3.8%)

regimes492.0ms (3.7%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.2s (32.3%)

Profiling