Details

analyze159.0ms (4.8%)

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
25%	68.7%	6.3%	5
25%	65.6%	9.5%	6
37.5%	39%	23.5%	7
37.5%	36.7%	25.9%	8
43.7%	20.7%	35.6%	9
43.7%	19.3%	37%	10
46.8%	10.6%	42.5%	11
46.8%	9.9%	43.3%	12
48.4%	5.4%	46.2%	13
48.4%	5%	46.6%	14

Compiler

Compiled 17 to 17 computations (0% saved)

sample28.0ms (0.8%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
1.0ms	19×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify107.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	54	23
1	54	23

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

1.0b

Counts

2 → 1

Compiler

Compiled 28 to 28 computations (0% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b	(*.f64 PI.f64 2/3)

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_6238`
14×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251`
9×	`times-frac_binary64_6222`
8×	`add-cbrt-cube_binary64_6252` `add-exp-log_binary64_6254`
6×	`div-sub_binary64_6221` `add-log-exp_binary64_6255` `pow1_binary64_6277`
4×	`associate-+r-_binary64_6150`
3×	`associate-r_binary64_6156` `associate-/r_binary64_6160` `distribute-frac-neg_binary64_6179` `associate-/l_binary64_6161` `acos-neg_binary64_6399` `associate-l_binary64_6157` `acos-asin_binary64_6397`
2×	`cos-diff_binary64_6353`
1×	`div-inv_binary64_6213` `clear-num_binary64_6215` `cbrt-undiv_binary64_6250` `unswap-sqr_binary64_6184` `prod-exp_binary64_6265` `flip-+_binary64_6190` `pow-prod-down_binary64_6287` `+-commutative_binary64_6146` `frac-2neg_binary64_6227` `cos-sum_binary64_6350` `div-exp_binary64_6267` `cbrt-unprod_binary64_6249` `flip3-+_binary64_6219` `*-commutative_binary64_6147` `sum-log_binary64_6307`

Counts

4 → 70

Calls

4 calls:

7.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
7.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
4.0ms	(*.f64 PI.f64 2/3)
3.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

series279.0ms (8.4%)

Counts

4 → 18

Calls

4 calls:

150.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
74.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
54.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

Compiler

Compiled 540 to 540 computations (0% saved)

simplify93.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5183	1544

prune89.0ms (2.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	1	89

Error

1.0b

Counts

89 → 1

Compiler

Compiled 1691 to 993 computations (41.3% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
1.0b	(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238`
9×	`times-frac_binary64_6222`
4×	`add-cbrt-cube_binary64_6252` `add-exp-log_binary64_6254`
3×	`associate-/r_binary64_6160` `associate-/l_binary64_6161`
2×	`div-sub_binary64_6221` `add-log-exp_binary64_6255` `acos-asin_binary64_6397` `pow1_binary64_6277`
1×	`div-inv_binary64_6213` `clear-num_binary64_6215` `cbrt-undiv_binary64_6250` `frac-2neg_binary64_6227` `cos-diff_binary64_6353` `div-exp_binary64_6267`

Counts

2 → 36

Calls

2 calls:

3.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
3.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))

series152.0ms (4.6%)

Counts

2 → 12

Calls

2 calls:

108.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
44.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

Compiler

Compiled 288 to 288 computations (0% saved)

simplify139.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	4749	701
1	4749	701

prune47.0ms (1.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	1	49

Error

Counts

49 → 1

Compiler

Compiled 827 to 543 computations (34.3% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
0.0b	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))
0.0b	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))

rewrite60.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

276×	`times-frac_binary64_6222`
155×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238`
144×	`sqrt-prod_binary64_6232`
25×	`associate-/l*_binary64_6161`
12×	`associate-/r*_binary64_6160`
10×	`add-cbrt-cube_binary64_6252` `add-exp-log_binary64_6254`
9×	`div-inv_binary64_6213`
5×	`div-sub_binary64_6221`
4×	`cbrt-undiv_binary64_6250` `div-exp_binary64_6267`
3×	`add-log-exp_binary64_6255` `acos-asin_binary64_6397` `pow1_binary64_6277`
2×	`clear-num_binary64_6215` `frac-2neg_binary64_6227`
1×	`associate-/l/_binary64_6163` `cos-diff_binary64_6353`

Counts

3 → 224

Calls

3 calls:

12.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
11.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
5.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

series443.0ms (13.4%)

Counts

3 → 18

Calls

3 calls:

220.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
141.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
82.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

Compiler

Compiled 552 to 552 computations (0% saved)

simplify131.0ms (4%)

Algorithm

1×	egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4947	6209
1	4947	6209

prune338.0ms (10.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	242	0	242
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	242	1	243

Error

Counts

243 → 1

Compiler

Compiled 5957 to 3996 computations (32.9% saved)

regimes164.0ms (5%)

Accuracy

Total 0.0b remaining (92.8%)

Threshold costs 0.0b (92.8%)

Compiler

Compiled 1254 to 1262 computations (-0.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	23
1	37	23

end0.0ms (0%)

sample1.0s (30.4%)

Algorithm

1×

intervals

Results

613.0ms	8000×	body	128	valid
40.0ms	561×	body	128	nan

Compiler

Compiled 139 to 141 computations (-1.4% saved)

Details

analyze159.0ms (4.8%)

sample28.0ms (0.8%)

simplify107.0ms (3.2%)

prune4.0ms (0.1%)

localize11.0ms (0.3%)

rewrite26.0ms (0.8%)

series279.0ms (8.4%)

simplify93.0ms (2.8%)

prune89.0ms (2.7%)

localize9.0ms (0.3%)

rewrite8.0ms (0.3%)

series152.0ms (4.6%)

simplify139.0ms (4.2%)

prune47.0ms (1.4%)

localize11.0ms (0.3%)

rewrite60.0ms (1.8%)

series443.0ms (13.4%)

simplify131.0ms (4%)

prune338.0ms (10.2%)

regimes164.0ms (5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (30.4%)

Profiling