Details

analyze988.0ms (12.9%)

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)

sample74.0ms (1%)

Algorithm

1×

intervals

Results

41.0ms	122×	body	2048	valid
13.0ms	60×	body	1024	valid
6.0ms	39×	body	512	valid
2.0ms	17×	body	256	valid
1.0ms	18×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify79.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21

prune3.0ms (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

0.7b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize8.0ms (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))
0.7b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite103.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

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:

8.0ms	(/.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)

series96.0ms (1.3%)

Error

0.7b

Counts

3 → 12

Calls

3 calls:

33.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
27.0ms	(.f64 5 (.f64 v v))
22.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 370 to 330 computations (10.8% saved)

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4931	1785
1	4931	1785

prune91.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Error

0.6b

Counts

84 → 3

Compiler

Compiled 1785 to 1146 computations (35.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
0.9b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
0.9b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))

rewrite192.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

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

Compiler

Compiled 3771 to 2405 computations (36.2% saved)

series166.0ms (2.2%)

Error

0.6b

Counts

4 → 12

Calls

4 calls:

48.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
47.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
28.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
27.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 963 to 773 computations (19.7% saved)

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5552	2247

prune140.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	95	4	99

Error

0.6b

Counts

99 → 4

Compiler

Compiled 3028 to 1920 computations (36.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.9b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (cbrt.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3)))
1.0b	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3)
1.0b	(cbrt.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3))

rewrite375.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

50×	`add-sqr-sqrt_binary64_1805`
48×	`cbrt-prod_binary64_1814`
35×	`sqrt-prod_binary64_1799`
23×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
22×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
21×	`associate-r_binary64_1723`
14×	`unswap-sqr_binary64_1751`
9×	`pow1_binary64_1844`
7×	`add-exp-log_binary64_1821`
6×	`add-cbrt-cube_binary64_1819` `associate-l_binary64_1724`
5×	`sqr-pow_binary64_1755`
4×	`add-log-exp_binary64_1822`
3×	`unpow3_binary64_1849` `cube-mult_binary64_1813` `pow-unpow_binary64_1860` `pow-pow_binary64_1855`
2×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801`
1×	`pow1/3_binary64_1865` `rem-cbrt-cube_binary64_1807` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `rem-cube-cbrt_binary64_1806` `sqrt-pow2_binary64_1802` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `*-commutative_binary64_1714` `rem-sqrt-square_binary64_1796`

Counts

4 → 124

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (cbrt.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3)))
3.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3))
3.0ms	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3)
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))

Compiler

Compiled 6721 to 4479 computations (33.4% saved)

series263.0ms (3.4%)

Error

0.6b

Counts

4 → 12

Calls

4 calls:

117.0ms	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3)
52.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
50.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3))
26.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (cbrt.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3)))

Compiler

Compiled 1017 to 827 computations (18.7% saved)

simplify115.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4951	4285
1	4951	4285

prune282.0ms (3.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	132	4	136
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	134	6	140

Error

0.6b

Counts

140 → 6

Compiler

Compiled 5424 to 3528 computations (35% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.9b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
0.9b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 3/2) (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3/2))))
1.0b	(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 3/2) (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3/2)))

rewrite231.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

17×	`add-sqr-sqrt_binary64_1805`
11×	`sqrt-prod_binary64_1799`
9×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
8×	`pow1_binary64_1844`
6×	`add-exp-log_binary64_1821` `associate-l_binary64_1724`
5×	`add-cbrt-cube_binary64_1819`
4×	`add-log-exp_binary64_1822` `cbrt-prod_binary64_1814` `unswap-sqr_binary64_1751` `associate-r_binary64_1723`
2×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`
1×	`pow1/3_binary64_1865` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `*-commutative_binary64_1714`

Counts

4 → 60

Calls

4 calls:

6.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 3/2) (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3/2))))
5.0ms	(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 3/2) (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3/2)))
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))

Compiler

Compiled 4326 to 2870 computations (33.7% saved)

series212.0ms (2.8%)

Error

0.6b

Counts

4 → 12

Calls

4 calls:

53.0ms	(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 3/2) (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3/2)))
53.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
50.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
32.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 3/2) (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3/2))))

Compiler

Compiled 1341 to 1043 computations (22.2% saved)

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5434	2131

prune158.0ms (2.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	73	5	78

Error

0.6b

Counts

78 → 5

Compiler

Compiled 3460 to 2262 computations (34.6% saved)

regimes391.0ms (5.1%)

Accuracy

Total 0.0b remaining (2.8%)

Threshold costs 0.0b (2.8%)

Compiler

Compiled 7258 to 5024 computations (30.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	67	21
1	67	21

end0.0ms (0%)

sample3.4s (44.6%)

Algorithm

1×

intervals

Results

1.2s	4031×	body	2048	valid
413.0ms	2011×	body	1024	valid
138.0ms	939×	body	512	valid
48.0ms	491×	body	256	valid
28.0ms	527×	body	128	valid
1.0ms	1×	body	4096	valid
0.0ms	5×	body	128	nan

Compiler

Compiled 1828 to 1267 computations (30.7% saved)

Details

analyze988.0ms (12.9%)

sample74.0ms (1%)

simplify79.0ms (1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite103.0ms (1.4%)

series96.0ms (1.3%)

simplify80.0ms (1%)

prune91.0ms (1.2%)

localize13.0ms (0.2%)

rewrite192.0ms (2.5%)

series166.0ms (2.2%)

simplify72.0ms (0.9%)

prune140.0ms (1.8%)

localize13.0ms (0.2%)

rewrite375.0ms (4.9%)

series263.0ms (3.4%)

simplify115.0ms (1.5%)

prune282.0ms (3.7%)

localize18.0ms (0.2%)

rewrite231.0ms (3%)

series212.0ms (2.8%)

simplify74.0ms (1%)

prune158.0ms (2.1%)

regimes391.0ms (5.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.4s (44.6%)

Profiling