Details

analyze267.0ms (5.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	46
1	94	46
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
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)

sample33.0ms (0.7%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
1.0ms	21×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

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 (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite107.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_1805`
14×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
9×	`times-frac_binary64_1789`
8×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
6×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `div-sub_binary64_1788`
4×	`associate-+r-_binary64_1717`
3×	`associate-l_binary64_1724` `associate-r_binary64_1723` `distribute-frac-neg_binary64_1746` `acos-neg_binary64_1966` `acos-asin_binary64_1964` `associate-/l_binary64_1728` `associate-/r_binary64_1727`
2×	`cos-diff_binary64_1920`
1×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `*-commutative_binary64_1714` `sum-log_binary64_1874` `flip3-+_binary64_1786` `flip-+_binary64_1757` `+-commutative_binary64_1713` `cos-sum_binary64_1917` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780`

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)

Compiler

Compiled 1595 to 940 computations (41.1% saved)

series277.0ms (5.9%)

Error

1.0b

Counts

4 → 18

Calls

4 calls:

145.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
71.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
45.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

Compiler

Compiled 810 to 742 computations (8.4% saved)

simplify95.0ms (2%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5183	1544

prune93.0ms (2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	3	89

Error

1.0b

Counts

89 → 3

Compiler

Compiled 1716 to 1024 computations (40.3% saved)

localize9.0ms (0.2%)

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)

rewrite51.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
9×	`times-frac_binary64_1789`
4×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
3×	`associate-/l_binary64_1728` `associate-/r_binary64_1727`
2×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `acos-asin_binary64_1964` `div-sub_binary64_1788`
1×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `cos-diff_binary64_1920`

Counts

2 → 36

Calls

2 calls:

5.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
2.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))

Compiler

Compiled 727 to 465 computations (36% saved)

series158.0ms (3.4%)

Error

1.0b

Counts

2 → 12

Calls

2 calls:

103.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
45.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

Compiler

Compiled 432 to 388 computations (10.2% saved)

simplify142.0ms (3%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	4749	701
1	4749	701

prune51.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	49	2	51

Error

Counts

51 → 2

Compiler

Compiled 839 to 555 computations (33.8% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite458.0ms (9.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

276×	`times-frac_binary64_1789`
155×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
144×	`sqrt-prod_binary64_1799`
25×	`associate-/l*_binary64_1728`
12×	`associate-/r*_binary64_1727`
10×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
9×	`div-inv_binary64_1780`
5×	`div-sub_binary64_1788`
4×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
3×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `acos-asin_binary64_1964`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782`
1×	`cos-diff_binary64_1920` `associate-/l/_binary64_1730`

Counts

3 → 224

Calls

3 calls:

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

Compiler

Compiled 6762 to 4814 computations (28.8% saved)

series413.0ms (8.8%)

Error

Counts

3 → 18

Calls

3 calls:

190.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
125.0ms	(/.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 828 to 760 computations (8.2% saved)

simplify128.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4947	6209
1	4947	6209

prune313.0ms (6.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	242	0	242
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	242	2	244

Error

Counts

244 → 2

Compiler

Compiled 5969 to 4009 computations (32.8% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))
1.0b	(*.f64 1/3 (acos.f64 (/.f64 g h)))

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_1805`
4×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
3×	`associate-l_binary64_1724` `associate-r_binary64_1723`
2×	`add-log-exp_binary64_1822`
1×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `*-commutative_binary64_1714`

Counts

2 → 25

Calls

2 calls:

4.0ms	(*.f64 1/3 (acos.f64 (/.f64 g h)))
2.0ms	(cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))

Compiler

Compiled 469 to 304 computations (35.2% saved)

series159.0ms (3.4%)

Error

Counts

2 → 12

Calls

2 calls:

105.0ms	(cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))
45.0ms	(*.f64 1/3 (acos.f64 (/.f64 g h)))

Compiler

Compiled 432 to 388 computations (10.2% saved)

simplify78.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4872	439
1	4872	439

prune29.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	37	2	39

Error

Counts

39 → 2

Compiler

Compiled 571 to 382 computations (33.1% saved)

regimes373.0ms (7.9%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 4259 to 3836 computations (9.9% 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%)

sample1.4s (29.6%)

Algorithm

1×

intervals

Results

646.0ms	8000×	body	128	valid
36.0ms	560×	body	128	nan

Compiler

Compiled 404 to 367 computations (9.2% saved)

Details

analyze267.0ms (5.7%)

sample33.0ms (0.7%)

simplify13.0ms (0.3%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

rewrite107.0ms (2.3%)

series277.0ms (5.9%)

simplify95.0ms (2%)

prune93.0ms (2%)

localize9.0ms (0.2%)

rewrite51.0ms (1.1%)

series158.0ms (3.4%)

simplify142.0ms (3%)

prune51.0ms (1.1%)

localize11.0ms (0.2%)

rewrite458.0ms (9.7%)

series413.0ms (8.8%)

simplify128.0ms (2.7%)

prune313.0ms (6.6%)

localize10.0ms (0.2%)

rewrite30.0ms (0.6%)

series159.0ms (3.4%)

simplify78.0ms (1.7%)

prune29.0ms (0.6%)

regimes373.0ms (7.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (29.6%)

Profiling