Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample30.0ms (1.1%)

Algorithm

1×

intervals

Results

14.0ms	94×	body	1024	valid
3.0ms	5×	body	2048	valid
3.0ms	34×	body	512	valid
2.0ms	104×	body	128	valid
1.0ms	19×	body	256	valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify105.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	168	9
1	168	9

prune2.0ms (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

Error

38.0b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.1b	(-.f64 (exp.f64 x) 1)
0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
5.1b	(-.f64 (exp.f64 x) 1)

rewrite18.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_1758`
30×	`*-un-lft-identity_binary64_1736`
21×	`times-frac_binary64_1742`
15×	`add-cube-cbrt_binary64_1771`
10×	`difference-of-squares_binary64_1705`
7×	`associate-/l*_binary64_1681`
5×	`difference-of-sqr-1_binary64_1706` `distribute-lft-out--_binary64_1688`
4×	`add-cbrt-cube_binary64_1772` `add-exp-log_binary64_1774` `add-log-exp_binary64_1775`
3×	`cancel-sign-sub-inv_binary64_1702` `associate-/r*_binary64_1680`
2×	`associate-/l/_binary64_1683` `pow1_binary64_1797` `flip--_binary64_1711` `flip3--_binary64_1740`
1×	`div-sub_binary64_1741` `diff-log_binary64_1828` `cbrt-undiv_binary64_1770` `frac-2neg_binary64_1747` `sub-neg_binary64_1729` `div-exp_binary64_1787` `clear-num_binary64_1735` `div-inv_binary64_1733`

Counts

2 → 64

Calls

4 calls:

8.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
5.0ms	(-.f64 (exp.f64 x) 1)
0.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
0.0ms	(-.f64 (exp.f64 x) 1)

series59.0ms (2.1%)

Counts

2 → 12

Calls

2 calls:

35.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
24.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 134 to 114 computations (14.9% saved)

simplify63.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4961	1076
1	4961	1076

prune85.0ms (3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	2	77

Error

0.0b

Counts

77 → 2

Compiler

Compiled 916 to 503 computations (45.1% saved)

localize9.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.4b	(*.f64 x 1/24)
0.3b	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
0.1b	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
0.0b	(+.f64 1/6 (*.f64 x 1/24))
0.0b	(+.f64 1/6 (*.f64 x 1/24))
0.1b	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
0.3b	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
0.4b	(*.f64 x 1/24)

rewrite24.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1758`
10×	`pow1_binary64_1797` `add-cbrt-cube_binary64_1772` `add-exp-log_binary64_1774` `add-cube-cbrt_binary64_1771` `*-un-lft-identity_binary64_1736`
9×	`associate-r_binary64_1676` `associate-l_binary64_1677`
6×	`add-log-exp_binary64_1775`
4×	`associate-*r/_binary64_1678`
3×	`flip-+_binary64_1710` `cbrt-unprod_binary64_1769` `*-commutative_binary64_1667` `flip3-+_binary64_1739` `unswap-sqr_binary64_1704` `prod-exp_binary64_1785` `pow-prod-down_binary64_1807`
2×	`distribute-rgt-in_binary64_1686` `distribute-lft-in_binary64_1685`
1×	`sum-log_binary64_1827` `+-commutative_binary64_1666`

Counts

4 → 73

Calls

8 calls:

6.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
6.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
4.0ms	(*.f64 x 1/24)
3.0ms	(+.f64 1/6 (*.f64 x 1/24))
0.0ms	(+.f64 1/6 (*.f64 x 1/24))

series133.0ms (4.7%)

Counts

4 → 20

Calls

4 calls:

49.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
40.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
27.0ms	(+.f64 1/6 (*.f64 x 1/24))
17.0ms	(*.f64 x 1/24)

Compiler

Compiled 398 to 347 computations (12.8% saved)

simplify83.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4884	1083
1	4884	1083

prune90.0ms (3.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	93	2	95

Error

0.0b

Counts

95 → 2

Compiler

Compiled 1604 to 1245 computations (22.4% saved)

localize8.0ms (0.3%)

Local error

Found 8 expressions with local error:

5.1b	(-.f64 (exp.f64 x) 1)
5.1b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
0.0b	(exp.f64 (-.f64 (exp.f64 x) 1))
0.0b	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)
0.0b	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)
0.0b	(exp.f64 (-.f64 (exp.f64 x) 1))
5.1b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
5.1b	(-.f64 (exp.f64 x) 1)

rewrite37.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-sqr-sqrt_binary64_1758`
51×	`*-un-lft-identity_binary64_1736`
42×	`exp-prod_binary64_1788`
40×	`log-pow_binary64_1825`
33×	`times-frac_binary64_1742`
30×	`add-cube-cbrt_binary64_1771`
14×	`difference-of-squares_binary64_1705`
11×	`associate-/l*_binary64_1681`
9×	`pow1_binary64_1797` `cancel-sign-sub-inv_binary64_1702` `add-log-exp_binary64_1775`
8×	`exp-sum_binary64_1782`
7×	`difference-of-sqr-1_binary64_1706` `log-prod_binary64_1822` `distribute-lft-out--_binary64_1688`
6×	`add-cbrt-cube_binary64_1772` `add-exp-log_binary64_1774`
3×	`exp-diff_binary64_1784` `sub-neg_binary64_1729` `associate-/r*_binary64_1680`
2×	`diff-log_binary64_1828` `log-div_binary64_1823` `rem-exp-log_binary64_1776`
1×	`div-sub_binary64_1741` `flip--_binary64_1711` `rem-log-exp_binary64_1777` `flip3--_binary64_1740` `cbrt-undiv_binary64_1770` `frac-2neg_binary64_1747` `div-exp_binary64_1787` `clear-num_binary64_1735` `div-inv_binary64_1733`

Counts

4 → 123

Calls

8 calls:

10.0ms	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)
6.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
6.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))
5.0ms	(-.f64 (exp.f64 x) 1)
0.0ms	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)

series241.0ms (8.5%)

Counts

4 → 24

Calls

4 calls:

118.0ms	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)
82.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
22.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))
18.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 302 to 258 computations (14.6% saved)

simplify79.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	6074	1862

prune101.0ms (3.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	146	3	149

Error

0.0b

Counts

149 → 3

Compiler

Compiled 1770 to 1025 computations (42.1% saved)

localize11.0ms (0.4%)

Local error

Found 8 expressions with local error:

5.1b	(-.f64 (exp.f64 x) 1)
5.1b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
0.0b	(*.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) (/.f64 1 x))
0.0b	(exp.f64 (-.f64 (exp.f64 x) 1))
0.0b	(exp.f64 (-.f64 (exp.f64 x) 1))
0.0b	(*.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) (/.f64 1 x))
5.1b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
5.1b	(-.f64 (exp.f64 x) 1)

rewrite41.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64_1758`
32×	`*-un-lft-identity_binary64_1736`
21×	`exp-prod_binary64_1788`
19×	`add-cube-cbrt_binary64_1771`
16×	`log-pow_binary64_1825`
13×	`associate-r_binary64_1676` `add-exp-log_binary64_1774`
11×	`times-frac_binary64_1742` `associate-l_binary64_1677`
9×	`add-cbrt-cube_binary64_1772` `cancel-sign-sub-inv_binary64_1702` `add-log-exp_binary64_1775`
8×	`exp-sum_binary64_1782` `pow1_binary64_1797` `difference-of-squares_binary64_1705`
7×	`log-prod_binary64_1822`
4×	`difference-of-sqr-1_binary64_1706` `distribute-lft-out--_binary64_1688` `prod-exp_binary64_1785`
3×	`sub-neg_binary64_1729` `unswap-sqr_binary64_1704`
2×	`exp-diff_binary64_1784` `cbrt-unprod_binary64_1769` `diff-log_binary64_1828` `div-exp_binary64_1787` `rem-exp-log_binary64_1776`
1×	`1-exp_binary64_1780` `flip--_binary64_1711` `un-div-inv_binary64_1734` `rem-log-exp_binary64_1777` `flip3--_binary64_1740` `cbrt-undiv_binary64_1770` `-commutative_binary64_1667` `associate-r/_binary64_1678` `rec-exp_binary64_1786` `div-inv_binary64_1733` `pow-prod-down_binary64_1807` `log-div_binary64_1823`

Counts

4 → 107

Calls

8 calls:

14.0ms	(*.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) (/.f64 1 x))
7.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
6.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))
5.0ms	(-.f64 (exp.f64 x) 1)
0.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))

series250.0ms (8.8%)

Counts

4 → 24

Calls

4 calls:

122.0ms	(*.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) (/.f64 1 x))
86.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
23.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))
19.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 350 to 306 computations (12.6% saved)

simplify80.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4935	1330
1	4935	1330

prune94.0ms (3.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	131	3	134

Error

0.0b

Counts

134 → 3

Compiler

Compiled 1638 to 1080 computations (34.1% saved)

regimes79.0ms (2.8%)

Accuracy

Total 0.5b remaining (97.1%)

Threshold costs 0.5b (97.1%)

Compiler

Compiled 440 to 338 computations (23.2% saved)

bsearch1.0ms (0%)

Compiler: Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	45
1	50	45

end0.0ms (0%)

sample1.1s (38.6%)

Algorithm

1×

intervals

Results

403.0ms	2665×	body	1024	valid
111.0ms	1293×	body	512	valid
80.0ms	3094×	body	128	valid
45.0ms	254×	body	2048	valid
37.0ms	694×	body	256	valid

Compiler

Compiled 255 to 193 computations (24.3% saved)

Pareto

Details

analyze4.0ms (0.1%)

sample30.0ms (1.1%)

simplify105.0ms (3.7%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite18.0ms (0.7%)

series59.0ms (2.1%)

simplify63.0ms (2.2%)

prune85.0ms (3%)

localize9.0ms (0.3%)

rewrite24.0ms (0.9%)

series133.0ms (4.7%)

simplify83.0ms (2.9%)

prune90.0ms (3.2%)

localize8.0ms (0.3%)

rewrite37.0ms (1.3%)

series241.0ms (8.5%)

simplify79.0ms (2.8%)

prune101.0ms (3.6%)

localize11.0ms (0.4%)

rewrite41.0ms (1.4%)

series250.0ms (8.8%)

simplify80.0ms (2.8%)

prune94.0ms (3.3%)

regimes79.0ms (2.8%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (38.6%)

Profiling