Details

analyze172.0ms (2.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	681	19
1	681	19
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
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	61×	body	1024	valid
5.0ms	140×	body	128	valid
3.0ms	31×	body	512	valid
1.0ms	8×	body	2048	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify79.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	681	19
1	681	19

prune6.0ms (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

28.4b

Counts

2 → 1

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x 1))
0.0b	(/.f64 (+.f64 x 1) (-.f64 x 1))
2.8b	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))

rewrite302.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

27.9b

Rules

148×	`*-un-lft-identity_binary64_1783`
88×	`times-frac_binary64_1789`
85×	`add-sqr-sqrt_binary64_1805`
37×	`add-cube-cbrt_binary64_1818`
34×	`cancel-sign-sub-inv_binary64_1749`
27×	`distribute-lft-out_binary64_1734`
22×	`difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`
11×	`associate-/r*_binary64_1727`
9×	`difference-of-sqr-1_binary64_1753`
7×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `associate-/l*_binary64_1728`
6×	`associate-/r/_binary64_1729`
5×	`add-log-exp_binary64_1822`
3×	`pow1_binary64_1844` `flip3--_binary64_1787` `flip--_binary64_1758` `div-inv_binary64_1780`
2×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `flip3-+_binary64_1786` `associate-/l/_binary64_1730` `flip-+_binary64_1757`
1×	`diff-log_binary64_1875` `frac-sub_binary64_1792` `sub-neg_binary64_1776`

Counts

3 → 147

Calls

3 calls:

39.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
8.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))
5.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 3337 to 2419 computations (27.5% saved)

series170.0ms (2.3%)

Error

0.0b

Counts

3 → 35

Calls

3 calls:

64.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
35.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))
35.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 1069 to 884 computations (17.3% saved)

simplify100.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4969	3126
1	4969	3126

prune211.0ms (2.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	178	4	182
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	179	4	183

Error

0.0b

Counts

183 → 4

Compiler

Compiled 3446 to 2431 computations (29.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (+.f64 x 1))
0.0b	(/.f64 (+.f64 1 x) (+.f64 x -1))
0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))))
2.8b	(-.f64 (/.f64 x (+.f64 x 1)) (log.f64 (exp.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))))

rewrite348.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

116×	`*-un-lft-identity_binary64_1783`
73×	`times-frac_binary64_1789`
65×	`add-sqr-sqrt_binary64_1805`
55×	`log-pow_binary64_1872`
52×	`exp-prod_binary64_1835`
47×	`add-cube-cbrt_binary64_1818`
33×	`distribute-lft-out_binary64_1734`
30×	`cancel-sign-sub-inv_binary64_1749`
13×	`difference-of-sqr--1_binary64_1754`
9×	`associate-/r*_binary64_1727`
8×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `associate-/r/_binary64_1729`
7×	`pow1_binary64_1844` `associate-/l*_binary64_1728`
6×	`log-prod_binary64_1869`
5×	`add-log-exp_binary64_1822` `flip3-+_binary64_1786` `flip-+_binary64_1757`
4×	`div-inv_binary64_1780`
3×	`associate--r+_binary64_1719`
2×	`difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/l/_binary64_1730`
1×	`diff-log_binary64_1875` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `rem-log-exp_binary64_1824`

Counts

4 → 164

Calls

4 calls:

44.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (log.f64 (exp.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))))
10.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))))
8.0ms	(/.f64 (+.f64 1 x) (+.f64 x -1))
5.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 4061 to 3073 computations (24.3% saved)

series244.0ms (3.3%)

Error

0.0b

Counts

4 → 47

Calls

4 calls:

76.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (log.f64 (exp.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))))
46.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))))
37.0ms	(/.f64 (+.f64 1 x) (+.f64 x -1))
36.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 1595 to 1338 computations (16.1% saved)

simplify89.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4983	3307
1	4983	3307

prune262.0ms (3.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	210	1	211
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	211	4	215

Error

0.0b

Counts

215 → 4

Compiler

Compiled 4212 to 3085 computations (26.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (+.f64 1 x)))
0.0b	(cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 -1 x)))
0.1b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 -1 x))) 6)
2.8b	(-.f64 (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 -1 x))) 6))

rewrite828.0ms (11%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

161×	`*-un-lft-identity_binary64_1783`
113×	`times-frac_binary64_1789`
88×	`add-sqr-sqrt_binary64_1805`
71×	`add-cube-cbrt_binary64_1818`
68×	`cbrt-prod_binary64_1814`
53×	`unpow-prod-down_binary64_1862`
42×	`distribute-lft-out_binary64_1734`
29×	`cancel-sign-sub-inv_binary64_1749`
24×	`swap-sqr_binary64_1750`
18×	`associate-l_binary64_1724` `associate-r_binary64_1723`
17×	`add-exp-log_binary64_1821`
16×	`add-cbrt-cube_binary64_1819`
14×	`associate-/r/_binary64_1729`
12×	`pow1_binary64_1844`
7×	`div-inv_binary64_1780` `flip3-+_binary64_1786` `flip-+_binary64_1757`
6×	`add-log-exp_binary64_1822`
5×	`difference-of-squares_binary64_1752`
4×	`div-exp_binary64_1834` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `cbrt-undiv_binary64_1817` `unswap-sqr_binary64_1751`
3×	`sqr-pow_binary64_1755` `pow-unpow_binary64_1860`
2×	`pow1/3_binary64_1865` `pow-pow_binary64_1855`
1×	`diff-log_binary64_1875` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `cbrt-div_binary64_1815` `pow2_binary64_1864` `pow-prod-down_binary64_1854` `pow-prod-up_binary64_1853` `pow-plus_binary64_1846` `frac-times_binary64_1793` `pow-sqr_binary64_1756` `associate-l/_binary64_1726` `associate-r/_binary64_1725` `*-commutative_binary64_1714`

Counts

4 → 204

Calls

4 calls:

29.0ms	(-.f64 (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 -1 x))) 6))
19.0ms	(*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (+.f64 1 x)))
10.0ms	(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 -1 x))) 6)
7.0ms	(cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 -1 x)))

Compiler

Compiled 9817 to 7211 computations (26.5% saved)

series389.0ms (5.2%)

Error

0.0b

Counts

4 → 40

Calls

4 calls:

119.0ms	(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 -1 x))) 6)
112.0ms	(-.f64 (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 -1 x))) 6))
45.0ms	(*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (+.f64 1 x)))
39.0ms	(cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 -1 x)))

Compiler

Compiled 3014 to 2393 computations (20.6% saved)

simplify129.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4902	5135
1	4902	5135

prune741.0ms (9.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	244	4	248

Error

0.0b

Counts

248 → 4

Compiler

Compiled 9987 to 7315 computations (26.8% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (+.f64 3 x))
0.1b	(*.f64 3 (pow.f64 x 3))
7.8b	(+.f64 (+.f64 1 (.f64 x (+.f64 3 x))) (.f64 3 (pow.f64 x 3)))

rewrite104.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`add-sqr-sqrt_binary64_1805`
16×	`associate-r_binary64_1723`
11×	`*-un-lft-identity_binary64_1783`
10×	`add-exp-log_binary64_1821`
9×	`add-cube-cbrt_binary64_1818`
8×	`add-log-exp_binary64_1822`
7×	`add-cbrt-cube_binary64_1819`
6×	`associate-l_binary64_1724`
5×	`pow1_binary64_1844` `unswap-sqr_binary64_1751`
4×	`prod-exp_binary64_1832` `unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
3×	`sum-log_binary64_1874`
2×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `cbrt-unprod_binary64_1816` `sqr-pow_binary64_1755` `-commutative_binary64_1714` `associate-r/_binary64_1725`
1×	`associate-+l+_binary64_1716` `+-commutative_binary64_1713` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `unpow3_binary64_1849` `cube-mult_binary64_1813` `pow-prod-down_binary64_1854` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `distribute-lft-out_binary64_1734`

Counts

3 → 67

Calls

3 calls:

7.0ms	(+.f64 (+.f64 1 (.f64 x (+.f64 3 x))) (.f64 3 (pow.f64 x 3)))
6.0ms	(*.f64 3 (pow.f64 x 3))
6.0ms	(*.f64 x (+.f64 3 x))

Compiler

Compiled 1360 to 1047 computations (23% saved)

series132.0ms (1.8%)

Error

0.0b

Counts

3 → 21

Calls

3 calls:

44.0ms	(*.f64 x (+.f64 3 x))
37.0ms	(+.f64 (+.f64 1 (.f64 x (+.f64 3 x))) (.f64 3 (pow.f64 x 3)))
36.0ms	(*.f64 3 (pow.f64 x 3))

Compiler

Compiled 546 to 460 computations (15.8% saved)

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4971	1035
1	4971	1035

prune87.0ms (1.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	88	4	92

Error

0.0b

Counts

92 → 4

Compiler

Compiled 1436 to 1069 computations (25.6% saved)

regimes341.0ms (4.5%)

Accuracy

Total 0.0b remaining (50.2%)

Threshold costs 0.0b (50.2%)

Compiler

Compiled 3319 to 2601 computations (21.6% saved)

bsearch40.0ms (0.5%)

Steps

Iters	Range		Point
9	774.6311636195924	751483936359.7064	11868.407629700492
8	-473328.6313027844	-25.26260978229237	-11819.493831145772

Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	59
1	65	59

end0.0ms (0%)

sample2.6s (34.5%)

Algorithm

1×

intervals

Results

250.0ms	1975×	body	1024	valid
145.0ms	4321×	body	128	valid
98.0ms	997×	body	512	valid
38.0ms	225×	body	2048	valid
33.0ms	482×	body	256	valid

Compiler

Compiled 1649 to 1293 computations (21.6% saved)

Details

analyze172.0ms (2.3%)

sample25.0ms (0.3%)

simplify79.0ms (1%)

prune6.0ms (0.1%)

localize7.0ms (0.1%)

rewrite302.0ms (4%)

series170.0ms (2.3%)

simplify100.0ms (1.3%)

prune211.0ms (2.8%)

localize11.0ms (0.1%)

rewrite348.0ms (4.6%)

series244.0ms (3.3%)

simplify89.0ms (1.2%)

prune262.0ms (3.5%)

localize13.0ms (0.2%)

rewrite828.0ms (11%)

series389.0ms (5.2%)

simplify129.0ms (1.7%)

prune741.0ms (9.9%)

localize10.0ms (0.1%)

rewrite104.0ms (1.4%)

series132.0ms (1.8%)

simplify74.0ms (1%)

prune87.0ms (1.2%)

regimes341.0ms (4.5%)

bsearch40.0ms (0.5%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.6s (34.5%)

Profiling