Details

analyze1.8s (15.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample113.0ms (1%)

Algorithm

1×

intervals

Results

62.0ms	117×	body	2048	valid
24.0ms	66×	body	1024	valid
8.0ms	32×	body	512	valid
3.0ms	17×	body	256	valid
2.0ms	24×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify140.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21

prune5.0ms (0%)

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

Error

1.0b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (.f64 5 (.f64 v v)))
0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.1b	(.f64 5 (.f64 v v))
1.0b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite56.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_1805`
20×	`*-un-lft-identity_binary64_1783`
18×	`times-frac_binary64_1789`
16×	`add-cube-cbrt_binary64_1818`
11×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
9×	`pow1_binary64_1844`
8×	`difference-of-squares_binary64_1752`
6×	`associate-/r*_binary64_1727` `add-log-exp_binary64_1822`
4×	`difference-of-sqr-1_binary64_1753`
3×	`flip3--_binary64_1787` `associate-/l_binary64_1728` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `associate-l*_binary64_1724` `pow-prod-down_binary64_1854` `flip--_binary64_1758`
2×	`associate-/l/_binary64_1730` `associate-/r/_binary64_1729`
1×	`div-sub_binary64_1788` `div-inv_binary64_1780` `cancel-sign-sub-inv_binary64_1749` `acos-asin_binary64_1964` `diff-log_binary64_1875` `cbrt-undiv_binary64_1817` `-commutative_binary64_1714` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `clear-num_binary64_1782` `unswap-sqr_binary64_1751` `sub-neg_binary64_1776` `associate-r*_binary64_1723`

Counts

4 → 83

Calls

4 calls:

22.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
11.0ms	(.f64 5 (.f64 v v))
7.0ms	(-.f64 1 (.f64 5 (.f64 v v)))
2.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series233.0ms (2.1%)

Counts

4 → 18

Calls

4 calls:

81.0ms	(-.f64 1 (.f64 5 (.f64 v v)))
58.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
51.0ms	(.f64 5 (.f64 v v))
42.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 354 to 319 computations (9.9% saved)

simplify191.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (149.0ms)

Iter	Nodes	Cost
0	4901	2004
1	4901	2004

prune212.0ms (1.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	3	102

Error

1.0b

Counts

102 → 3

Compiler

Compiled 2085 to 1334 computations (36% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3))
0.0b	(pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)
0.1b	(.f64 5 (.f64 v v))
1.0b	(acos.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)))

rewrite103.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`times-frac_binary64_1789`
60×	`add-sqr-sqrt_binary64_1805`
59×	`*-un-lft-identity_binary64_1783`
54×	`cbrt-prod_binary64_1814`
48×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
47×	`add-cube-cbrt_binary64_1818`
24×	`difference-of-squares_binary64_1752`
12×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `difference-of-sqr-1_binary64_1753`
10×	`pow1_binary64_1844`
8×	`associate-/r/_binary64_1729`
4×	`flip3--_binary64_1787` `div-inv_binary64_1780` `flip--_binary64_1758` `add-log-exp_binary64_1822`
3×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-unpow_binary64_1860` `associate-l_binary64_1724` `pow-prod-down_binary64_1854`
2×	`sqr-pow_binary64_1755` `rem-cube-cbrt_binary64_1806` `cube-mult_binary64_1813` `unpow3_binary64_1849` `cube-div_binary64_1812` `pow-exp_binary64_1851`
1×	`rem-cbrt-cube_binary64_1807` `cbrt-div_binary64_1815` `acos-asin_binary64_1964` `cbrt-undiv_binary64_1817` `-commutative_binary64_1714` `div-exp_binary64_1834` `pow-pow_binary64_1855` `pow1/3_binary64_1865` `unswap-sqr_binary64_1751` `pow-to-exp_binary64_1852` `associate-r*_binary64_1723`

Counts

4 → 159

Calls

4 calls:

31.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3))
23.0ms	(pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)
12.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)))

series249.0ms (2.2%)

Counts

4 → 18

Calls

4 calls:

81.0ms	(pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)
68.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3))
55.0ms	(.f64 5 (.f64 v v))
44.0ms	(acos.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)))

Compiler

Compiled 334 to 316 computations (5.4% saved)

simplify168.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4955	4938
1	4955	4938

prune598.0ms (5.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	177	3	180

Error

1.0b

Counts

180 → 3

Compiler

Compiled 4293 to 2911 computations (32.2% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 -1 (.f64 (.f64 v v) 4))
0.0b	(.f64 (.f64 v v) 4)
1.0b	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `pow1_binary64_1844`
5×	`add-sqr-sqrt_binary64_1805` `add-log-exp_binary64_1822`
4×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
3×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-prod-down_binary64_1854` `associate-r_binary64_1723`
1×	`+-commutative_binary64_1713` `flip-+_binary64_1757` `acos-asin_binary64_1964` `associate-l_binary64_1724` `*-commutative_binary64_1714` `sum-log_binary64_1874` `flip3-+_binary64_1786` `unswap-sqr_binary64_1751`

Counts

3 → 38

Calls

3 calls:

13.0ms	(.f64 (.f64 v v) 4)
8.0ms	(+.f64 -1 (.f64 (.f64 v v) 4))
2.0ms	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))

series181.0ms (1.6%)

Counts

3 → 12

Calls

3 calls:

96.0ms	(+.f64 -1 (.f64 (.f64 v v) 4))
55.0ms	(.f64 (.f64 v v) 4)
30.0ms	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))

Compiler

Compiled 158 to 159 computations (-0.6% saved)

simplify193.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (169.0ms)

Iter	Nodes	Cost
0	4874	549
1	4874	549

prune76.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	49	4	53

Error

1.0b

Counts

53 → 4

Compiler

Compiled 642 to 451 computations (29.8% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
1.0b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite41.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1805`
16×	`cbrt-prod_binary64_1814`
12×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
11×	`pow1_binary64_1844`
6×	`swap-sqr_binary64_1750` `add-exp-log_binary64_1821` `associate-l_binary64_1724` `pow1/3_binary64_1865` `associate-r_binary64_1723`
4×	`add-cbrt-cube_binary64_1819` `unswap-sqr_binary64_1751` `add-log-exp_binary64_1822`
3×	`acos-asin_binary64_1964`
2×	`pow-prod-up_binary64_1853` `pow-sqr_binary64_1756` `pow-prod-down_binary64_1854`
1×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-plus_binary64_1846` `*-commutative_binary64_1714` `pow2_binary64_1864`

Counts

4 → 64

Calls

4 calls:

15.0ms	(.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
3.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
3.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
2.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series687.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

518.0ms	(.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
58.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
56.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
55.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 1050 to 798 computations (24% saved)

simplify125.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4937	2185
1	4937	2185

prune394.0ms (3.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	74	6	80

Error

1.0b

Counts

80 → 6

Compiler

Compiled 3729 to 2373 computations (36.4% saved)

regimes600.0ms (5.3%)

Accuracy

Total 0.0b remaining (2.5%)

Threshold costs 0.0b (2.5%)

Compiler

Compiled 4088 to 2910 computations (28.8% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	36	23
1	36	23

end0.0ms (0%)

sample5.1s (44.7%)

Algorithm

1×

intervals

Results

2.3s	3963×	body	2048	valid
780.0ms	1971×	body	1024	valid
302.0ms	1013×	body	512	valid
98.0ms	522×	body	256	valid
55.0ms	531×	body	128	valid
0.0ms	5×	body	128	nan

Compiler

Compiled 652 to 473 computations (27.5% saved)

Details

analyze1.8s (15.6%)

sample113.0ms (1%)

simplify140.0ms (1.2%)

prune5.0ms (0%)

localize17.0ms (0.1%)

rewrite56.0ms (0.5%)

series233.0ms (2.1%)

simplify191.0ms (1.7%)

prune212.0ms (1.9%)

localize23.0ms (0.2%)

rewrite103.0ms (0.9%)

series249.0ms (2.2%)

simplify168.0ms (1.5%)

prune598.0ms (5.3%)

localize13.0ms (0.1%)

rewrite28.0ms (0.2%)

series181.0ms (1.6%)

simplify193.0ms (1.7%)

prune76.0ms (0.7%)

localize33.0ms (0.3%)

rewrite41.0ms (0.4%)

series687.0ms (6.1%)

simplify125.0ms (1.1%)

prune394.0ms (3.5%)

regimes600.0ms (5.3%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample5.1s (44.7%)

Profiling