Details

analyze829.0ms (15%)

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)

sample73.0ms (1.3%)

Algorithm

1×

intervals

Results

44.0ms	141×	body	2048	valid
15.0ms	69×	body	1024	valid
3.0ms	21×	body	512	valid
1.0ms	10×	body	256	valid
1.0ms	15×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify228.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4883	21
1	4883	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

Merged error: 0.4b

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))
0.4b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1783`
19×	`*-un-lft-identity_binary64_1762`
18×	`times-frac_binary64_1768`
15×	`add-cube-cbrt_binary64_1794`
10×	`add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797`
8×	`difference-of-squares_binary64_1731` `pow1_binary64_1820`
6×	`associate-/r*_binary64_1708`
4×	`difference-of-sqr-1_binary64_1732`
3×	`pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `add-log-exp_binary64_1798` `cbrt-unprod_binary64_1792` `associate-/l_binary64_1709` `associate-l*_binary64_1705`
2×	`associate-/r/_binary64_1710` `flip3--_binary64_1766` `associate-/l/_binary64_1711` `flip--_binary64_1737`
1×	`frac-2neg_binary64_1773` `div-sub_binary64_1767` `clear-num_binary64_1761` `div-inv_binary64_1759` `unswap-sqr_binary64_1730` `cbrt-undiv_binary64_1793` `acos-asin_binary64_1940` `div-exp_binary64_1810` `-commutative_binary64_1695` `associate-r*_binary64_1704`

Counts

3 → 71

Calls

3 calls:

10.0ms	(/.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)))

series134.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

65.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
44.0ms	(.f64 5 (.f64 v v))
24.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify72.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4940	1788
1	4940	1788

prune94.0ms (1.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	4	81

Merged error: 0.4b

Counts

81 → 4

Compiler

Compiled 1801 to 1160 computations (35.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (exp.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.1b	(.f64 5 (.f64 v v))
0.4b	(acos.f64 (log.f64 (exp.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))

rewrite43.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64_1768`
35×	`add-sqr-sqrt_binary64_1783`
34×	`*-un-lft-identity_binary64_1762`
27×	`add-cube-cbrt_binary64_1794`
25×	`log-pow_binary64_1848`
24×	`exp-prod_binary64_1811`
14×	`difference-of-squares_binary64_1731`
11×	`add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797`
10×	`pow1_binary64_1820`
7×	`difference-of-sqr-1_binary64_1732`
6×	`associate-/r*_binary64_1708`
4×	`associate-/r/_binary64_1710` `add-log-exp_binary64_1798`
3×	`log-prod_binary64_1845` `flip3--_binary64_1766` `pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `cbrt-unprod_binary64_1792` `flip--_binary64_1737` `associate-/l_binary64_1709` `associate-l*_binary64_1705`
2×	`div-sub_binary64_1767` `associate-/l/_binary64_1711` `div-inv_binary64_1759`
1×	`frac-2neg_binary64_1773` `clear-num_binary64_1761` `unswap-sqr_binary64_1730` `cbrt-undiv_binary64_1793` `acos-asin_binary64_1940` `div-exp_binary64_1810` `exp-diff_binary64_1807` `-commutative_binary64_1695` `log-div_binary64_1846` `rem-log-exp_binary64_1800` `associate-r*_binary64_1704`

Counts

4 → 108

Calls

4 calls:

14.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
10.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (log.f64 (exp.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))

series232.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

109.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
63.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
34.0ms	(.f64 5 (.f64 v v))
25.0ms	(acos.f64 (log.f64 (exp.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4992	2681
1	4992	2681

prune148.0ms (2.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	120	4	124

Merged error: 0.4b

Counts

124 → 4

Compiler

Compiled 2949 to 1950 computations (33.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1))
0.1b	(.f64 5 (.f64 v v))
0.4b	(acos.f64 (/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1)))
2.7b	(log.f64 (exp.f64 (.f64 5 (.f64 v v))))

rewrite34.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`*-un-lft-identity_binary64_1762`
51×	`add-sqr-sqrt_binary64_1783`
42×	`times-frac_binary64_1768`
30×	`difference-of-squares_binary64_1731`
21×	`add-cube-cbrt_binary64_1794`
17×	`pow1_binary64_1820`
14×	`distribute-lft-out--_binary64_1716`
11×	`add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797`
10×	`log-pow_binary64_1848`
8×	`difference-of-sqr-1_binary64_1732`
7×	`associate-/l*_binary64_1709`
6×	`associate-/r*_binary64_1708`
5×	`add-log-exp_binary64_1798`
3×	`log-prod_binary64_1845` `pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `cbrt-unprod_binary64_1792` `associate-l_binary64_1705`
2×	`associate-/r/_binary64_1710` `flip3--_binary64_1766` `associate-/l/_binary64_1711` `flip--_binary64_1737`
1×	`frac-2neg_binary64_1773` `exp-prod_binary64_1811` `div-sub_binary64_1767` `clear-num_binary64_1761` `div-inv_binary64_1759` `unswap-sqr_binary64_1730` `cbrt-undiv_binary64_1793` `acos-asin_binary64_1940` `div-exp_binary64_1810` `-commutative_binary64_1695` `exp-to-pow_binary64_1821` `rem-log-exp_binary64_1800` `associate-r*_binary64_1704`

Counts

4 → 113

Calls

4 calls:

13.0ms	(/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
2.0ms	(log.f64 (exp.f64 (.f64 5 (.f64 v v))))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1)))

series318.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

141.0ms	(log.f64 (exp.f64 (.f64 5 (.f64 v v))))
111.0ms	(/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1))
43.0ms	(.f64 5 (.f64 v v))
23.0ms	(acos.f64 (/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1)))

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5145	2911

prune140.0ms (2.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	125	4	129

Merged error: 0.4b

Counts

129 → 4

Compiler

Compiled 2858 to 1866 computations (34.7% saved)

localize10.0ms (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))
0.4b	(acos.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)))

rewrite55.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`times-frac_binary64_1768`
60×	`add-sqr-sqrt_binary64_1783`
59×	`*-un-lft-identity_binary64_1762`
54×	`cbrt-prod_binary64_1790`
48×	`cube-prod_binary64_1787` `unpow-prod-down_binary64_1838`
47×	`add-cube-cbrt_binary64_1794`
24×	`difference-of-squares_binary64_1731`
12×	`difference-of-sqr-1_binary64_1732` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797`
10×	`pow1_binary64_1820`
8×	`associate-/r/_binary64_1710`
4×	`flip3--_binary64_1766` `div-inv_binary64_1759` `add-log-exp_binary64_1798` `flip--_binary64_1737`
3×	`pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `cbrt-unprod_binary64_1792` `pow-unpow_binary64_1836` `associate-l_binary64_1705`
2×	`cube-mult_binary64_1789` `rem-cube-cbrt_binary64_1784` `sqr-pow_binary64_1734` `cube-div_binary64_1788` `unpow3_binary64_1825` `pow-exp_binary64_1827`
1×	`pow1/3_binary64_1841` `unswap-sqr_binary64_1730` `cbrt-undiv_binary64_1793` `acos-asin_binary64_1940` `div-exp_binary64_1810` `pow-pow_binary64_1831` `rem-cbrt-cube_binary64_1785` `-commutative_binary64_1695` `pow-to-exp_binary64_1828` `cbrt-div_binary64_1791` `associate-r*_binary64_1704`

Counts

4 → 159

Calls

4 calls:

14.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3))
13.0ms	(pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)
8.0ms	(.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)))

series200.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

80.0ms	(pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)
62.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3))
33.0ms	(.f64 5 (.f64 v v))
25.0ms	(acos.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)))

simplify95.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5156	4938

prune226.0ms (4.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	171	4	175

Merged error: 0.4b

Counts

175 → 4

Compiler

Compiled 4227 to 2862 computations (32.3% saved)

regimes88.0ms (1.6%)

Compiler: Compiled 1067 to 759 computations (28.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	81	28
1	81	28

end0.0ms (0%)

sample2.3s (42%)

Algorithm

1×

intervals

Results

1.3s	3992×	body	2048	valid
429.0ms	1964×	body	1024	valid
156.0ms	1028×	body	512	valid
53.0ms	520×	body	256	valid
32.0ms	496×	body	128	valid
0.0ms	4×	body	128	nan

Compiler

Compiled 250 to 181 computations (27.6% saved)

Details

analyze829.0ms (15%)

sample73.0ms (1.3%)

simplify228.0ms (4.1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite23.0ms (0.4%)

series134.0ms (2.4%)

simplify72.0ms (1.3%)

prune94.0ms (1.7%)

localize11.0ms (0.2%)

rewrite43.0ms (0.8%)

series232.0ms (4.2%)

simplify70.0ms (1.3%)

prune148.0ms (2.7%)

localize10.0ms (0.2%)

rewrite34.0ms (0.6%)

series318.0ms (5.7%)

simplify70.0ms (1.3%)

prune140.0ms (2.5%)

localize10.0ms (0.2%)

rewrite55.0ms (1%)

series200.0ms (3.6%)

simplify95.0ms (1.7%)

prune226.0ms (4.1%)

regimes88.0ms (1.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.3s (42%)

Profiling