Details

analyze219.0ms (1.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4978	80
1	4978	80
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%	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)

sample29.0ms (0.2%)

Algorithm

1×

intervals

Results

19.0ms

256×

body

128

valid

Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4990	40
1	4990	40

prune4.0ms (0%)

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

0.4b

Counts

2 → 1

Compiler

Compiled 52 to 40 computations (23.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite280.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
20×	`pow1_binary64_1844`
16×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-*r/_binary64_1725`
14×	`add-sqr-sqrt_binary64_1805`
12×	`sqrt-div_binary64_1800` `associate-l_binary64_1724`
11×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
10×	`pow-prod-down_binary64_1854`
8×	`frac-times_binary64_1793` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-/r/_binary64_1729`
7×	`flip3--_binary64_1787` `flip--_binary64_1758`
6×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
5×	`associate-r_binary64_1723`
4×	`add-log-exp_binary64_1822` `sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749` `associate-*l/_binary64_1726` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
3×	`sqrt-prod_binary64_1799` `-commutative_binary64_1714` `times-frac_binary64_1789` `associate-/l_binary64_1728`
2×	`associate-/l/_binary64_1730` `unswap-sqr_binary64_1751`
1×	`frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/r*_binary64_1727`

Counts

4 → 113

Calls

4 calls:

15.0ms	(/.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)))))
13.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
5.0ms	(.f64 5 (.f64 v v))
4.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 4540 to 2736 computations (39.7% saved)

series626.0ms (4.9%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

341.0ms	(/.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)))))
194.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
28.0ms	(.f64 5 (.f64 v v))
22.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 2153 to 1676 computations (22.2% saved)

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5018	4315

prune245.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	130	7	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	131	7	138

Error

Counts

138 → 7

Compiler

Compiled 4940 to 2997 computations (39.3% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 v v) 5)
0.3b	(*.f64 PI.f64 t)
0.4b	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v 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 (.f64 v v) 6))))

rewrite359.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 156

Calls

4 calls:

17.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
8.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
6.0ms	(.f64 (.f64 v v) 5)
4.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 6524 to 3864 computations (40.8% saved)

series506.0ms (3.9%)

Error

Counts

4 → 21

Calls

4 calls:

343.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
79.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
28.0ms	(.f64 (.f64 v v) 5)
23.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 1786 to 1386 computations (22.4% saved)

simplify91.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4973	6466
1	4973	6466

prune323.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	177	7	184

Error

Counts

184 → 7

Compiler

Compiled 6744 to 4088 computations (39.4% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite2.2s (16.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

330×	`sqrt-div_binary64_1800` `cbrt-div_binary64_1815`
276×	`frac-times_binary64_1793`
204×	`associate-*l/_binary64_1726`
115×	`flip3--_binary64_1787` `flip--_binary64_1758`
108×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
90×	`associate-*r/_binary64_1725`
89×	`add-exp-log_binary64_1821`
80×	`associate-/r/_binary64_1729`
58×	`add-cbrt-cube_binary64_1819`
55×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
47×	`pow1_binary64_1844`
31×	`pow-prod-down_binary64_1854`
13×	`add-sqr-sqrt_binary64_1805` `associate-r_binary64_1723`
11×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
9×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
6×	`cbrt-prod_binary64_1814`
5×	`associate-l_binary64_1724`
4×	`add-log-exp_binary64_1822`
3×	`sqrt-prod_binary64_1799` `-commutative_binary64_1714` `times-frac_binary64_1789` `associate-/l_binary64_1728`
2×	`associate-/l/_binary64_1730`
1×	`frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/r*_binary64_1727` `unswap-sqr_binary64_1751`

Counts

4 → 285

Calls

4 calls:

36.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v))))) (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))))) (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64)) (cbrt.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))))
30.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v))))) (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))))) (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64)) (cbrt.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))))
14.0ms	(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64)) (cbrt.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))
4.0ms	(*.f64 t PI.f64)

Compiler

Compiled 25298 to 17114 computations (32.4% saved)

series945.0ms (7.3%)

Error

Counts

4 → 30

Calls

4 calls:

347.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v))))) (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))))) (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64)) (cbrt.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))))
319.0ms	(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64)) (cbrt.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))
200.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v))))) (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))))) (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64)) (cbrt.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))))
24.0ms	(*.f64 t PI.f64)

Compiler

Compiled 3343 to 2636 computations (21.1% saved)

simplify261.0ms (2%)

Algorithm

1×	egg-herbie

Counts

315 → 315

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4940	22682
1	4940	22682

prune1.9s (14.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	315	0	315
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	315	7	322

Error

Counts

322 → 7

Compiler

Compiled 22407 to 15356 computations (31.5% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 t PI.f64)
0.3b	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (*.f64 t PI.f64)))
0.4b	(.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))))
1.0b	(/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))

rewrite384.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

79×	`add-exp-log_binary64_1821`
52×	`add-sqr-sqrt_binary64_1805`
49×	`add-cbrt-cube_binary64_1819`
46×	`times-frac_binary64_1789`
40×	`*-un-lft-identity_binary64_1783`
38×	`add-cube-cbrt_binary64_1818`
32×	`prod-exp_binary64_1832`
27×	`associate-l_binary64_1724`
25×	`div-exp_binary64_1834`
23×	`sqrt-prod_binary64_1799`
18×	`cbrt-unprod_binary64_1816`
14×	`cbrt-undiv_binary64_1817`
12×	`associate-r_binary64_1723`
10×	`pow1_binary64_1844`
8×	`associate-/r/_binary64_1729`
7×	`associate-/r*_binary64_1727`
6×	`associate-/l*_binary64_1728` `unswap-sqr_binary64_1751`
5×	`1-exp_binary64_1827` `rec-exp_binary64_1833` `flip3--_binary64_1787` `flip--_binary64_1758` `associate-*l/_binary64_1726`
4×	`add-log-exp_binary64_1822` `div-inv_binary64_1780` `sqrt-div_binary64_1800`
3×	`pow-flip_binary64_1857`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `pow-prod-down_binary64_1854` `*-commutative_binary64_1714` `associate-/l/_binary64_1730`
1×	`inv-pow_binary64_1868` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `frac-times_binary64_1793` `associate-*r/_binary64_1725` `div-sub_binary64_1788`

Counts

4 → 167

Calls

4 calls:

23.0ms	(.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))))
10.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (*.f64 t PI.f64)))
6.0ms	(/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
4.0ms	(*.f64 t PI.f64)

Compiler

Compiled 7029 to 4266 computations (39.3% saved)

series620.0ms (4.8%)

Error

Counts

4 → 27

Calls

4 calls:

330.0ms	(.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))))
175.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (*.f64 t PI.f64)))
55.0ms	(/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
21.0ms	(*.f64 t PI.f64)

Compiler

Compiled 2238 to 1722 computations (23.1% saved)

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5000	6233

prune325.0ms (2.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	193	1	194
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	194	7	201

Error

Counts

201 → 7

Compiler

Compiled 6879 to 4146 computations (39.7% saved)

regimes782.0ms (6.1%)

Accuracy

Total 0.4b remaining (90.1%)

Threshold costs 0.4b (90.1%)

Compiler

Compiled 13876 to 9926 computations (28.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	79	43
1	79	43

end0.0ms (0%)

sample2.5s (19.6%)

Algorithm

1×

intervals

Results

523.0ms	8000×	body	128	valid
1.0ms	12×	body	128	nan

Compiler

Compiled 2527 to 1810 computations (28.4% saved)

Details

analyze219.0ms (1.7%)

sample29.0ms (0.2%)

simplify52.0ms (0.4%)

prune4.0ms (0%)

localize16.0ms (0.1%)

rewrite280.0ms (2.2%)

series626.0ms (4.9%)

simplify82.0ms (0.6%)

prune245.0ms (1.9%)

localize18.0ms (0.1%)

rewrite359.0ms (2.8%)

series506.0ms (3.9%)

simplify91.0ms (0.7%)

prune323.0ms (2.5%)

localize28.0ms (0.2%)

rewrite2.2s (16.8%)

series945.0ms (7.3%)

simplify261.0ms (2%)

prune1.9s (14.6%)

localize19.0ms (0.1%)

rewrite384.0ms (3%)

series620.0ms (4.8%)

simplify94.0ms (0.7%)

prune325.0ms (2.5%)

regimes782.0ms (6.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.5s (19.6%)

Profiling