Details

analyze107.0ms (1.3%)

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%	50%	50%	4
0%	50%	50%	5
12.5%	37.5%	50%	6
18.7%	31.2%	50%	7
28.1%	21.9%	50%	8
32.8%	17.2%	50%	9
38.2%	11.7%	50%	10
41%	9%	50%	11
43.9%	6%	50%	12
45.4%	4.6%	50%	13
46.9%	3.1%	50%	14

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample24.0ms (0.3%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify394.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4985	40
1	4985	40

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

Merged error: 0.4b

Counts

2 → 2

Compiler

Compiled 134 to 102 computations (23.9% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 v (.f64 -6 v))
0.2b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
0.3b	(*.f64 PI.f64 t)
0.5b	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))

rewrite58.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
20×	`pow1_binary64_1860`
16×	`prod-exp_binary64_1848` `associate-*r/_binary64_1741` `cbrt-unprod_binary64_1832`
13×	`add-sqr-sqrt_binary64_1821`
12×	`sqrt-div_binary64_1816` `associate-l_binary64_1740`
11×	`add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
10×	`pow-prod-down_binary64_1870`
8×	`distribute-rgt-in_binary64_1749` `distribute-lft-in_binary64_1748` `associate-/r/_binary64_1745` `frac-times_binary64_1809`
7×	`flip--_binary64_1774` `flip3--_binary64_1803`
6×	`flip3-+_binary64_1802` `flip-+_binary64_1773`
5×	`associate-r_binary64_1739`
4×	`sub-neg_binary64_1792` `div-exp_binary64_1850` `add-log-exp_binary64_1838` `cbrt-undiv_binary64_1833` `cancel-sign-sub-inv_binary64_1765` `associate-*l/_binary64_1742`
3×	`associate-/l_binary64_1744` `sqrt-prod_binary64_1815` `times-frac_binary64_1805` `-commutative_binary64_1730`
2×	`associate-/l/_binary64_1746`
1×	`div-sub_binary64_1804` `clear-num_binary64_1798` `unswap-sqr_binary64_1767` `frac-2neg_binary64_1810` `associate-/r*_binary64_1743` `div-inv_binary64_1796`

Counts

4 → 112

Calls

4 calls:

18.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
17.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
5.0ms	(.f64 v (.f64 -6 v))
4.0ms	(*.f64 PI.f64 t)

series637.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

309.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
261.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
39.0ms	(.f64 v (.f64 -6 v))
28.0ms	(*.f64 PI.f64 t)

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5293	3762

prune838.0ms (10.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	117	7	124
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	119	7	126

Merged error: 0.0b

Counts

126 → 7

Compiler

Compiled 19003 to 13759 computations (27.6% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 v (.f64 v -6))
0.3b	(*.f64 PI.f64 t)
0.5b	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
1.0b	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))

rewrite56.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`times-frac_binary64_1805`
50×	`add-sqr-sqrt_binary64_1821`
48×	`add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
34×	`add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
30×	`sqrt-prod_binary64_1815`
27×	`associate-/l*_binary64_1744`
11×	`pow1_binary64_1860`
10×	`div-exp_binary64_1850` `prod-exp_binary64_1848` `cbrt-undiv_binary64_1833` `cbrt-unprod_binary64_1832`
8×	`associate-/r/_binary64_1745`
7×	`associate-/r*_binary64_1743`
6×	`sqrt-div_binary64_1816` `associate-l_binary64_1740`
4×	`add-log-exp_binary64_1838` `div-inv_binary64_1796` `pow-prod-down_binary64_1870` `associate-r_binary64_1739`
3×	`div-sub_binary64_1804` `associate-/l/_binary64_1746` `flip3-+_binary64_1802` `flip-+_binary64_1773`
2×	`clear-num_binary64_1798` `frac-2neg_binary64_1810` `associate-r/_binary64_1741` `flip--_binary64_1774` `flip3--_binary64_1803` `-commutative_binary64_1730`
1×	`unswap-sqr_binary64_1767`

Counts

4 → 155

Calls

4 calls:

18.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
9.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
6.0ms	(.f64 v (.f64 v -6))
4.0ms	(*.f64 PI.f64 t)

series495.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

302.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
130.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
37.0ms	(.f64 v (.f64 v -6))
26.0ms	(*.f64 PI.f64 t)

simplify118.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4936	6103
1	4936	6103

prune455.0ms (5.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	164	3	167
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	169	5	174

Merged error: 0b

Counts

174 → 5

Compiler

Compiled 9372 to 6350 computations (32.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 v (.f64 v -6))
0.3b	(.f64 PI.f64 (.f64 t (+.f64 -1 (*.f64 v v))))
0.5b	(/.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (.f64 PI.f64 (.f64 t (+.f64 -1 (*.f64 v v)))))
1.0b	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))

rewrite63.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`times-frac_binary64_1805`
47×	`add-sqr-sqrt_binary64_1821` `add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
37×	`add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
30×	`sqrt-prod_binary64_1815`
27×	`associate-/l*_binary64_1744`
14×	`pow1_binary64_1860`
12×	`prod-exp_binary64_1848` `cbrt-unprod_binary64_1832`
10×	`div-exp_binary64_1850` `cbrt-undiv_binary64_1833`
8×	`associate-*r/_binary64_1741` `associate-/r/_binary64_1745`
7×	`associate-/r*_binary64_1743`
6×	`sqrt-div_binary64_1816` `associate-l_binary64_1740` `pow-prod-down_binary64_1870` `flip3-+_binary64_1802` `flip-+_binary64_1773`
4×	`distribute-rgt-in_binary64_1749` `distribute-lft-in_binary64_1748` `add-log-exp_binary64_1838` `div-inv_binary64_1796`
3×	`associate-/l/_binary64_1746`
2×	`clear-num_binary64_1798` `frac-2neg_binary64_1810` `-commutative_binary64_1730` `associate-r*_binary64_1739`

Counts

4 → 159

Calls

4 calls:

20.0ms	(/.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (.f64 PI.f64 (.f64 t (+.f64 -1 (*.f64 v v)))))
9.0ms	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
7.0ms	(.f64 PI.f64 (.f64 t (+.f64 -1 (*.f64 v v))))
5.0ms	(.f64 v (.f64 v -6))

series578.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

306.0ms	(/.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (.f64 PI.f64 (.f64 t (+.f64 -1 (*.f64 v v)))))
130.0ms	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
106.0ms	(.f64 PI.f64 (.f64 t (+.f64 -1 (*.f64 v v))))
34.0ms	(.f64 v (.f64 v -6))

simplify87.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5531	6212

prune380.0ms (4.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	172	4	176

Merged error: 0b

Counts

176 → 4

Compiler

Compiled 7234 to 4879 computations (32.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 v v) 5)
0.1b	(.f64 v (.f64 v -6))
1.0b	(/.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) PI.f64)
1.0b	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))

rewrite67.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

162×	`times-frac_binary64_1805`
99×	`add-sqr-sqrt_binary64_1821`
98×	`add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
48×	`sqrt-prod_binary64_1815`
27×	`associate-/l*_binary64_1744`
21×	`add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
14×	`pow1_binary64_1860`
10×	`sqrt-div_binary64_1816` `associate-/r/_binary64_1745`
9×	`associate-/r*_binary64_1743`
6×	`prod-exp_binary64_1848` `cbrt-unprod_binary64_1832` `div-inv_binary64_1796` `pow-prod-down_binary64_1870` `flip3-+_binary64_1802` `flip-+_binary64_1773`
4×	`div-exp_binary64_1850` `add-log-exp_binary64_1838` `associate-l_binary64_1740` `cbrt-undiv_binary64_1833` `associate-r_binary64_1739`
3×	`associate-/l/_binary64_1746`
2×	`clear-num_binary64_1798` `frac-2neg_binary64_1810` `*-commutative_binary64_1730`
1×	`unswap-sqr_binary64_1767`

Counts

4 → 194

Calls

4 calls:

15.0ms	(/.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) PI.f64)
9.0ms	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
6.0ms	(.f64 (.f64 v v) 5)
5.0ms	(.f64 v (.f64 v -6))

series325.0ms (4%)

Counts

4 → 12

Calls

4 calls:

147.0ms	(/.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) PI.f64)
112.0ms	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
34.0ms	(.f64 (.f64 v v) 5)
32.0ms	(.f64 v (.f64 v -6))

simplify109.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5167	8039

prune481.0ms (6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	206	4	210

Merged error: 0b

Counts

210 → 4

Compiler

Compiled 8653 to 5707 computations (34% saved)

regimes679.0ms (8.4%)

Compiler: Compiled 10730 to 8049 computations (25% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	40
1	27	40

end0.0ms (0%)

sample2.0s (24.5%)

Algorithm

1×

intervals

Results

519.0ms	8000×	body	128	valid
1.0ms	17×	body	128	nan

Compiler

Compiled 1910 to 1432 computations (25% saved)

Details

analyze107.0ms (1.3%)

sample24.0ms (0.3%)

simplify394.0ms (4.9%)

prune7.0ms (0.1%)

localize15.0ms (0.2%)

rewrite58.0ms (0.7%)

series637.0ms (7.9%)

simplify68.0ms (0.8%)

prune838.0ms (10.4%)

localize18.0ms (0.2%)

rewrite56.0ms (0.7%)

series495.0ms (6.1%)

simplify118.0ms (1.5%)

prune455.0ms (5.6%)

localize15.0ms (0.2%)

rewrite63.0ms (0.8%)

series578.0ms (7.2%)

simplify87.0ms (1.1%)

prune380.0ms (4.7%)

localize15.0ms (0.2%)

rewrite67.0ms (0.8%)

series325.0ms (4%)

simplify109.0ms (1.4%)

prune481.0ms (6%)

regimes679.0ms (8.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.0s (24.5%)

Profiling