Details

analyze105.0ms (1.9%)

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)

sample26.0ms (0.5%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify139.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4990	40
1	4990	40

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.6b

Counts

2 → 1

Compiler

Compiled 54 to 41 computations (24.1% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.2b	(*.f64 PI.f64 t)
0.4b	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))

rewrite46.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
18×	`associate-*r/_binary64_1725`
16×	`pow1_binary64_1844`
13×	`add-sqr-sqrt_binary64_1805` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832`
10×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
8×	`flip3--_binary64_1787` `associate-/r/_binary64_1729` `sqrt-div_binary64_1800` `flip--_binary64_1758` `associate-r_binary64_1723`
7×	`associate-l_binary64_1724` `pow-prod-down_binary64_1854`
4×	`cbrt-undiv_binary64_1817` `div-exp_binary64_1834` `frac-times_binary64_1793` `add-log-exp_binary64_1822`
3×	`associate-/l_binary64_1728` `times-frac_binary64_1789` `-commutative_binary64_1714`
2×	`associate-/l/_binary64_1730` `associate-*l/_binary64_1726` `unswap-sqr_binary64_1751`
1×	`div-sub_binary64_1788` `div-inv_binary64_1780` `associate-/r*_binary64_1727` `sqrt-prod_binary64_1799` `frac-2neg_binary64_1794` `clear-num_binary64_1782`

Counts

4 → 94

Calls

4 calls:

17.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
10.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
5.0ms	(.f64 5 (.f64 v v))
4.0ms	(*.f64 PI.f64 t)

series293.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

171.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
91.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
19.0ms	(.f64 5 (.f64 v v))
13.0ms	(*.f64 PI.f64 t)

simplify59.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5179	2803

prune382.0ms (7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	98	8	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	8	107

Merged error: 0.3b

Counts

107 → 8

Compiler

Compiled 4104 to 2541 computations (38.1% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.2b	(*.f64 PI.f64 t)
0.4b	(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3)))) (*.f64 PI.f64 t))
0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3)))) (*.f64 PI.f64 t)))

rewrite43.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
16×	`pow1_binary64_1844`
13×	`add-sqr-sqrt_binary64_1805`
10×	`add-cube-cbrt_binary64_1818` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `associate-l_binary64_1724` `*-un-lft-identity_binary64_1783`
7×	`pow-prod-down_binary64_1854`
5×	`associate-r_binary64_1723`
4×	`associate-r/_binary64_1725` `associate-l/_binary64_1726` `sqrt-div_binary64_1800` `add-log-exp_binary64_1822`
3×	`flip3--_binary64_1787` `associate-/l_binary64_1728` `times-frac_binary64_1789` `cbrt-undiv_binary64_1817` `-commutative_binary64_1714` `div-exp_binary64_1834` `flip--_binary64_1758`
2×	`associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `unswap-sqr_binary64_1751`
1×	`div-sub_binary64_1788` `div-inv_binary64_1780` `associate-/r*_binary64_1727` `sqrt-prod_binary64_1799` `frac-2neg_binary64_1794` `clear-num_binary64_1782`

Counts

4 → 86

Calls

4 calls:

15.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3)))) (*.f64 PI.f64 t)))
10.0ms	(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3)))) (*.f64 PI.f64 t))
6.0ms	(.f64 5 (.f64 v v))
4.0ms	(*.f64 PI.f64 t)

series286.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

147.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3)))) (*.f64 PI.f64 t)))
109.0ms	(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3)))) (*.f64 PI.f64 t))
18.0ms	(.f64 5 (.f64 v v))
12.0ms	(*.f64 PI.f64 t)

simplify69.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4975	2248
1	4975	2248

prune166.0ms (3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	100	6	106

Merged error: 0.0b

Counts

106 → 6

Compiler

Compiled 3585 to 2224 computations (38% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.2b	(*.f64 PI.f64 t)
0.5b	(/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3))))) (.f64 PI.f64 t))
1.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (*.f64 v v) 3)))))

rewrite47.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`times-frac_binary64_1789`
35×	`add-sqr-sqrt_binary64_1805`
32×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
25×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
21×	`associate-/l*_binary64_1728`
11×	`pow1_binary64_1844`
10×	`sqrt-prod_binary64_1799`
7×	`cbrt-undiv_binary64_1817` `div-exp_binary64_1834`
6×	`associate-r/_binary64_1725` `associate-/r/_binary64_1729` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `associate-l*_binary64_1724` `sqrt-div_binary64_1800`
5×	`associate-/r*_binary64_1727`
4×	`flip3--_binary64_1787` `div-inv_binary64_1780` `pow-prod-down_binary64_1854` `flip--_binary64_1758` `add-log-exp_binary64_1822` `associate-r_binary64_1723`
3×	`div-sub_binary64_1788` `associate-/l/_binary64_1730`
2×	`*-commutative_binary64_1714` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `unswap-sqr_binary64_1751`

Counts

4 → 130

Calls

4 calls:

14.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3))))) (.f64 PI.f64 t))
10.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (*.f64 v v) 3)))))
6.0ms	(.f64 5 (.f64 v v))
4.0ms	(*.f64 PI.f64 t)

series250.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

141.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3))))) (.f64 PI.f64 t))
78.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (*.f64 v v) 3)))))
17.0ms	(.f64 5 (.f64 v v))
12.0ms	(*.f64 PI.f64 t)

simplify88.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4967	4585
1	4967	4585

prune279.0ms (5.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	5	0	5
Picked	0	1	1
Done	0	0	0
Total	145	3	148

Merged error: 0b

Counts

148 → 3

Compiler

Compiled 5567 to 3532 computations (36.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 v v) 3)
0.2b	(.f64 5 (.f64 v v))
1.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (*.f64 v v) 3)))))
1.0b	(/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (*.f64 v v) 3))))) PI.f64)

rewrite59.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`times-frac_binary64_1789`
68×	`add-sqr-sqrt_binary64_1805`
66×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
21×	`add-cbrt-cube_binary64_1819` `associate-/l*_binary64_1728` `add-exp-log_binary64_1821`
16×	`sqrt-prod_binary64_1799`
14×	`pow1_binary64_1844`
10×	`associate-*r/_binary64_1725` `associate-/r/_binary64_1729` `sqrt-div_binary64_1800`
7×	`associate-/r*_binary64_1727`
6×	`flip3--_binary64_1787` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `div-inv_binary64_1780` `pow-prod-down_binary64_1854` `flip--_binary64_1758`
4×	`associate-l_binary64_1724` `cbrt-undiv_binary64_1817` `div-exp_binary64_1834` `add-log-exp_binary64_1822` `associate-r_binary64_1723`
3×	`div-sub_binary64_1788` `associate-/l/_binary64_1730`
2×	`*-commutative_binary64_1714` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `unswap-sqr_binary64_1751`

Counts

4 → 165

Calls

4 calls:

13.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (*.f64 v v) 3))))) PI.f64)
11.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (*.f64 v v) 3)))))
9.0ms	(.f64 (.f64 v v) 3)
6.0ms	(.f64 5 (.f64 v v))

series202.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

93.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (*.f64 v v) 3))))) PI.f64)
75.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (*.f64 v v) 3)))))
17.0ms	(.f64 (.f64 v v) 3)
16.0ms	(.f64 5 (.f64 v v))

simplify108.0ms (2%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4928	6982
1	4928	6982

prune406.0ms (7.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	177	3	180

Merged error: 0b

Counts

180 → 3

Compiler

Compiled 7397 to 4797 computations (35.1% saved)

regimes550.0ms (10%)

Compiler: Compiled 9580 to 6946 computations (27.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	77	43
1	77	43

end0.0ms (0%)

sample1.8s (32.9%)

Algorithm

1×

intervals

Results

508.0ms	8000×	body	128	valid
1.0ms	9×	body	128	nan

Compiler

Compiled 1752 to 1272 computations (27.4% saved)

Details

analyze105.0ms (1.9%)

sample26.0ms (0.5%)

simplify139.0ms (2.5%)

prune4.0ms (0.1%)

localize18.0ms (0.3%)

rewrite46.0ms (0.8%)

series293.0ms (5.4%)

simplify59.0ms (1.1%)

prune382.0ms (7%)

localize15.0ms (0.3%)

rewrite43.0ms (0.8%)

series286.0ms (5.2%)

simplify69.0ms (1.3%)

prune166.0ms (3%)

localize19.0ms (0.3%)

rewrite47.0ms (0.9%)

series250.0ms (4.6%)

simplify88.0ms (1.6%)

prune279.0ms (5.1%)

localize15.0ms (0.3%)

rewrite59.0ms (1.1%)

series202.0ms (3.7%)

simplify108.0ms (2%)

prune406.0ms (7.4%)

regimes550.0ms (10%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.8s (32.9%)

Profiling