Details

analyze765.0ms (13.2%)

Algorithm

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)

sample71.0ms (1.2%)

Algorithm

1×

intervals

Results

40.0ms	129×	body	2048	valid
16.0ms	80×	body	1024	valid
4.0ms	26×	body	512	valid
1.0ms	14×	body	256	valid
0.0ms	7×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify159.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21

prune2.0ms (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

0.4b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.1b	(.f64 5 (.f64 v v))
0.3b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite110.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

20×	`add-sqr-sqrt_binary64_1805`
19×	`*-un-lft-identity_binary64_1783`
18×	`times-frac_binary64_1789`
15×	`add-cube-cbrt_binary64_1818`
10×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
8×	`pow1_binary64_1844` `difference-of-squares_binary64_1752`
6×	`associate-/r*_binary64_1727`
4×	`difference-of-sqr-1_binary64_1753`
3×	`add-log-exp_binary64_1822` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-l_binary64_1724` `associate-/l*_binary64_1728`
2×	`flip3--_binary64_1787` `associate-/l/_binary64_1730` `flip--_binary64_1758` `associate-/r/_binary64_1729`
1×	`acos-asin_binary64_1964` `unswap-sqr_binary64_1751` `associate-r_binary64_1723` `*-commutative_binary64_1714` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780`

Counts

3 → 71

Calls

3 calls:

9.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 1740 to 1097 computations (37% saved)

series82.0ms (1.4%)

Error

0.3b

Counts

3 → 10

Calls

3 calls:

27.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
26.0ms	(.f64 5 (.f64 v v))
21.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 316 to 283 computations (10.4% saved)

simplify77.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4969	1747
1	4969	1747

prune85.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	2	82

Error

0.3b

Counts

82 → 2

Compiler

Compiled 1734 to 1113 computations (35.8% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 v v) 4)
0.3b	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

7×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
4×	`add-sqr-sqrt_binary64_1805`
3×	`add-cube-cbrt_binary64_1818` `-un-lft-identity_binary64_1783` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-r*_binary64_1723`
2×	`add-log-exp_binary64_1822`
1×	`acos-asin_binary64_1964` `unswap-sqr_binary64_1751` `associate-l_binary64_1724` `*-commutative_binary64_1714`

Counts

2 → 27

Calls

2 calls:

6.0ms	(.f64 (.f64 v v) 4)
1.0ms	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))

Compiler

Compiled 377 to 258 computations (31.6% saved)

series41.0ms (0.7%)

Error

0.3b

Counts

2 → 6

Calls

2 calls:

25.0ms	(.f64 (.f64 v v) 4)
13.0ms	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))

Compiler

Compiled 144 to 139 computations (3.5% saved)

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5431	338

prune26.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Error

0.3b

Counts

35 → 3

Compiler

Compiled 409 to 286 computations (30.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1))
1.0b	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
1.0b	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
1.0b	(.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1))) (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (*.f64 v v)) 1))))

rewrite138.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

30×	`add-sqr-sqrt_binary64_1805`
24×	`sqrt-prod_binary64_1799`
21×	`pow1_binary64_1844`
14×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
10×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801`
8×	`swap-sqr_binary64_1750`
6×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `associate-l_binary64_1724` `associate-r_binary64_1723`
5×	`pow-prod-up_binary64_1853`
4×	`add-log-exp_binary64_1822` `rem-sqrt-square_binary64_1796` `unswap-sqr_binary64_1751`
3×	`pow-prod-down_binary64_1854` `pow-sqr_binary64_1756`
1×	`pow2_binary64_1864` `pow-plus_binary64_1846` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `sqrt-unprod_binary64_1803` `sqr-abs_binary64_1798` `rem-square-sqrt_binary64_1795` `*-commutative_binary64_1714` `acos-asin_binary64_1964`

Counts

4 → 84

Calls

4 calls:

7.0ms	(.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1))) (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (*.f64 v v)) 1))))
2.0ms	(acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1))
1.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
1.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))

Compiler

Compiled 2403 to 1721 computations (28.4% saved)

series100.0ms (1.7%)

Error

0.3b

Counts

4 → 12

Calls

4 calls:

30.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
27.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
17.0ms	(.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1))) (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (*.f64 v v)) 1))))
15.0ms	(acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1))

Compiler

Compiled 585 to 512 computations (12.5% saved)

simplify83.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5087	1400

prune101.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	95	4	99

Error

0.3b

Counts

99 → 4

Compiler

Compiled 1912 to 1362 computations (28.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1))
1.0b	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
1.0b	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
1.0b	(.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (*.f64 v v)) 1)))) 3))

rewrite247.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

75×	`sqrt-prod_binary64_1799`
63×	`add-sqr-sqrt_binary64_1805`
24×	`unswap-sqr_binary64_1751` `associate-r_binary64_1723`
18×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
16×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
9×	`add-exp-log_binary64_1821` `associate-l_binary64_1724`
7×	`pow1_binary64_1844`
6×	`add-cbrt-cube_binary64_1819`
4×	`add-log-exp_binary64_1822` `sqr-pow_binary64_1755`
3×	`prod-exp_binary64_1832`
2×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`
1×	`pow-prod-up_binary64_1853` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `cbrt-unprod_binary64_1816` `unpow3_binary64_1849` `cube-mult_binary64_1813` `*-commutative_binary64_1714` `acos-asin_binary64_1964`

Counts

4 → 104

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (*.f64 v v)) 1)))) 3))
2.0ms	(acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1))
1.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
1.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))

Compiler

Compiled 4027 to 3054 computations (24.2% saved)

series107.0ms (1.8%)

Error

0.3b

Counts

4 → 12

Calls

4 calls:

33.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
28.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
18.0ms	(.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (*.f64 v v)) 1)))) 3))
15.0ms	(acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1))

Compiler

Compiled 693 to 620 computations (10.5% saved)

simplify79.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5018	2539

prune159.0ms (2.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	113	3	116
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	115	5	120

Error

0.3b

Counts

120 → 5

Compiler

Compiled 2926 to 2175 computations (25.7% saved)

regimes328.0ms (5.6%)

Accuracy

Total 0.4b remaining (42.9%)

Threshold costs 0.4b (42.9%)

Compiler

Compiled 4907 to 3865 computations (21.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms (0%)

sample2.9s (50%)

Algorithm

1×

intervals

Results

1.2s	4007×	body	2048	valid
400.0ms	2033×	body	1024	valid
145.0ms	1004×	body	512	valid
44.0ms	462×	body	256	valid
34.0ms	493×	body	128	valid
0.0ms	1×	body	4096	valid
0.0ms	8×	body	128	nan

Compiler

Compiled 950 to 755 computations (20.5% saved)

Details

analyze765.0ms (13.2%)

sample71.0ms (1.2%)

simplify159.0ms (2.7%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite110.0ms (1.9%)

series82.0ms (1.4%)

simplify77.0ms (1.3%)

prune85.0ms (1.5%)

localize8.0ms (0.1%)

rewrite30.0ms (0.5%)

series41.0ms (0.7%)

simplify72.0ms (1.2%)

prune26.0ms (0.4%)

localize8.0ms (0.1%)

rewrite138.0ms (2.4%)

series100.0ms (1.7%)

simplify83.0ms (1.4%)

prune101.0ms (1.7%)

localize13.0ms (0.2%)

rewrite247.0ms (4.3%)

series107.0ms (1.8%)

simplify79.0ms (1.4%)

prune159.0ms (2.7%)

regimes328.0ms (5.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.9s (50%)

Profiling