Details

analyze8.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample111.0ms (1.9%)

Algorithm

1×

intervals

Results

84.0ms	141×	body	2048	valid
15.0ms	64×	body	1024	valid
4.0ms	27×	body	512	valid
1.0ms	12×	body	256	valid
1.0ms	12×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify242.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5087	13

prune5.0ms (0.1%)

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: 27.5b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (exp.f64 x) 2)
1.9b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_1798` `*-un-lft-identity_binary64_1762`
4×	`frac-add_binary64_1770` `add-sqr-sqrt_binary64_1783`
3×	`flip3--_binary64_1766` `flip--_binary64_1737`
2×	`diff-log_binary64_1851` `exp-neg_binary64_1806` `neg-sub0_binary64_1757` `distribute-lft-out--_binary64_1716` `exp-diff_binary64_1807` `sub-neg_binary64_1755` `distribute-lft-out_binary64_1715` `add-cube-cbrt_binary64_1794` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820` `sum-log_binary64_1850`
1×	`flip3-+_binary64_1765` `flip-+_binary64_1736` `+-commutative_binary64_1694` `difference-of-squares_binary64_1731` `associate-+l-_binary64_1699` `associate-+l+_binary64_1697`

Counts

2 → 33

Calls

2 calls:

9.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
5.0ms	(-.f64 (exp.f64 x) 2)

series76.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

61.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
15.0ms	(-.f64 (exp.f64 x) 2)

simplify88.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4859	627
1	4859	627

prune49.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

Compiler

Compiled 606 to 330 computations (45.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
0.0b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))

rewrite33.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1783`
14×	`add-exp-log_binary64_1797` `associate-r_binary64_1704`
11×	`add-log-exp_binary64_1798`
10×	`*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794`
8×	`add-cbrt-cube_binary64_1795` `unpow-prod-down_binary64_1838`
6×	`prod-exp_binary64_1808` `unswap-sqr_binary64_1730` `associate-l_binary64_1705`
4×	`sqr-pow_binary64_1734` `pow1_binary64_1820` `sum-log_binary64_1850`
2×	`flip3-+_binary64_1765` `flip-+_binary64_1736` `+-commutative_binary64_1694` `pow-exp_binary64_1827` `cbrt-unprod_binary64_1792` `*-commutative_binary64_1695` `pow-to-exp_binary64_1828`
1×	`associate-+r+_binary64_1696`

Counts

4 → 74

Calls

4 calls:

9.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
6.0ms	(*.f64 1/12 (pow.f64 x 4))
6.0ms	(*.f64 1/360 (pow.f64 x 6))
6.0ms	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))

series381.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

196.0ms	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
64.0ms	(*.f64 1/360 (pow.f64 x 6))
60.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
60.0ms	(*.f64 1/12 (pow.f64 x 4))

simplify70.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4895	1259
1	4895	1259

prune99.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

Compiler

Compiled 1821 to 1281 computations (29.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (exp.f64 x) 2)
1.9b	(log.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
1.9b	(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_1762`
10×	`add-log-exp_binary64_1798`
7×	`add-sqr-sqrt_binary64_1783`
6×	`log-pow_binary64_1848`
5×	`exp-prod_binary64_1811` `add-cube-cbrt_binary64_1794`
4×	`log-prod_binary64_1845` `frac-add_binary64_1770` `distribute-lft-out_binary64_1715` `pow1_binary64_1820`
3×	`flip3--_binary64_1766` `distribute-lft-out--_binary64_1716` `exp-diff_binary64_1807` `flip--_binary64_1737` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797`
2×	`associate-+r-_binary64_1698` `diff-log_binary64_1851` `exp-neg_binary64_1806` `neg-sub0_binary64_1757` `sub-neg_binary64_1755` `sum-log_binary64_1850`
1×	`flip3-+_binary64_1765` `flip-+_binary64_1736` `+-commutative_binary64_1694` `difference-of-squares_binary64_1731` `exp-sum_binary64_1805` `associate-+r+_binary64_1696` `log-div_binary64_1846` `rem-log-exp_binary64_1800`

Counts

3 → 52

Calls

3 calls:

11.0ms	(log.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
10.0ms	(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
5.0ms	(-.f64 (exp.f64 x) 2)

series350.0ms (6.1%)

Counts

3 → 9

Calls

3 calls:

276.0ms	(log.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
58.0ms	(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
16.0ms	(-.f64 (exp.f64 x) 2)

simplify73.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5480	988

prune55.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	61	5	66

Merged error: 0.0b

Counts

66 → 5

Compiler

Compiled 1008 to 573 computations (43.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))
0.0b	(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))
0.0b	(pow.f64 (exp.f64 x) 3)
2.3b	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))

rewrite33.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1783`
14×	`*-un-lft-identity_binary64_1762`
12×	`add-cube-cbrt_binary64_1794`
9×	`add-cbrt-cube_binary64_1795` `pow1_binary64_1820`
7×	`associate-r_binary64_1704`
6×	`add-log-exp_binary64_1798` `add-exp-log_binary64_1797` `associate-l_binary64_1705`
4×	`associate-*r/_binary64_1706` `pow-pow_binary64_1831`
3×	`cube-prod_binary64_1787` `exp-prod_binary64_1811` `flip3-+_binary64_1765` `flip-+_binary64_1736` `distribute-rgt-in_binary64_1714` `distribute-lft-in_binary64_1713` `pow-unpow_binary64_1836` `unpow-prod-down_binary64_1838`
2×	`pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `unswap-sqr_binary64_1730` `cbrt-unprod_binary64_1792` `*-commutative_binary64_1695` `associate-+r+_binary64_1696`
1×	`cube-mult_binary64_1789` `rem-cube-cbrt_binary64_1784` `sqr-pow_binary64_1734` `unpow3_binary64_1825` `+-commutative_binary64_1694` `pow-exp_binary64_1827` `distribute-lft-out_binary64_1715` `pow-to-exp_binary64_1828` `sum-log_binary64_1850`

Counts

4 → 84

Calls

4 calls:

9.0ms	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))
7.0ms	(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))
4.0ms	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))
4.0ms	(pow.f64 (exp.f64 x) 3)

series290.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

134.0ms	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))
78.0ms	(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))
42.0ms	(pow.f64 (exp.f64 x) 3)
36.0ms	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))

simplify65.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5116	1516

prune139.0ms (2.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	95	6	101

Merged error: 0.0b

Counts

101 → 6

Compiler

Compiled 3103 to 1793 computations (42.2% saved)

regimes18.0ms (0.3%)

Compiler: Compiled 149 to 103 computations (30.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	22
1	17	22

end0.0ms (0%)

sample3.4s (60.2%)

Algorithm

1×

intervals

Results

2.4s	4139×	body	2048	valid
511.0ms	2031×	body	1024	valid
137.0ms	1002×	body	512	valid
42.0ms	507×	body	256	valid
14.0ms	321×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 179 to 130 computations (27.4% saved)

Details

analyze8.0ms (0.1%)

sample111.0ms (1.9%)

simplify242.0ms (4.2%)

prune5.0ms (0.1%)

localize6.0ms (0.1%)

rewrite16.0ms (0.3%)

series76.0ms (1.3%)

simplify88.0ms (1.5%)

prune49.0ms (0.9%)

localize10.0ms (0.2%)

rewrite33.0ms (0.6%)

series381.0ms (6.7%)

simplify70.0ms (1.2%)

prune99.0ms (1.7%)

localize8.0ms (0.1%)

rewrite30.0ms (0.5%)

series350.0ms (6.1%)

simplify73.0ms (1.3%)

prune55.0ms (1%)

localize13.0ms (0.2%)

rewrite33.0ms (0.6%)

series290.0ms (5.1%)

simplify65.0ms (1.1%)

prune139.0ms (2.4%)

regimes18.0ms (0.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.4s (60.2%)

Profiling