Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample20.0ms (0%)

Algorithm

1×

intervals

Results

6.0ms	62×	body	1024	valid
4.0ms	134×	body	128	valid
2.0ms	33×	body	512	valid
1.0ms	11×	body	2048	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify106.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune2.0ms (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

30.1b

Counts

2 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0%)

Local error

Found 4 expressions with local error:

3.3b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
3.3b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite15.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`sqrt-prod_binary64_1799`
14×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
6×	`cancel-sign-sub-inv_binary64_1749`
5×	`add-cube-cbrt_binary64_1818`
4×	`difference-of-squares_binary64_1752` `add-log-exp_binary64_1822`
3×	`distribute-lft-out--_binary64_1735` `pow1_binary64_1844`
2×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `distribute-lft-out_binary64_1734` `sqrt-div_binary64_1800`
1×	`flip3--_binary64_1787` `flip-+_binary64_1757` `pow1/2_binary64_1863` `diff-log_binary64_1875` `flip3-+_binary64_1786` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `flip--_binary64_1758` `sub-neg_binary64_1776`

Counts

2 → 40

Calls

4 calls:

9.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

series46.0ms (0.1%)

Counts

2 → 9

Calls

2 calls:

30.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
16.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 170 to 142 computations (16.5% saved)

simplify37.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4932	589
1	4932	589

prune138.0ms (0.3%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	23	26	49
Fresh	0	0	0
Picked	0	0	0
Done	0	1	1
Total	23	27	50

Error

0.1b

Counts

50 → 27

Compiler

Compiled 674 to 504 computations (25.2% saved)

localize6.0ms (0%)

Local error

Found 6 expressions with local error:

0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
0.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))

rewrite27.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`*-un-lft-identity_binary64_1783`
24×	`sqrt-prod_binary64_1799`
21×	`distribute-lft-out_binary64_1734`
18×	`times-frac_binary64_1789`
16×	`add-sqr-sqrt_binary64_1805`
15×	`add-cube-cbrt_binary64_1818`
7×	`add-exp-log_binary64_1821`
6×	`associate-/r*_binary64_1727`
5×	`add-cbrt-cube_binary64_1819` `add-log-exp_binary64_1822` `pow1_binary64_1844`
3×	`associate-/l*_binary64_1728` `flip-+_binary64_1757` `flip3-+_binary64_1786`
2×	`associate-/r/_binary64_1729` `sqrt-div_binary64_1800` `div-exp_binary64_1834`
1×	`+-commutative_binary64_1713` `inv-pow_binary64_1868` `1-exp_binary64_1827` `div-inv_binary64_1780` `pow-flip_binary64_1857` `pow1/2_binary64_1863` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `sum-log_binary64_1874` `sqrt-pow1_binary64_1801` `clear-num_binary64_1782` `rem-sqrt-square_binary64_1796` `rec-exp_binary64_1833`

Counts

3 → 75

Calls

6 calls:

10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
8.0ms	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

series48.0ms (0.1%)

Counts

3 → 12

Calls

3 calls:

17.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
16.0ms	(sqrt.f64 (+.f64 x 1))
14.0ms	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 182 to 168 computations (7.7% saved)

simplify82.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4911	1227
1	4911	1227

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1 (sqrt.f64 x))
0.0b	(-.f64 1 (sqrt.f64 x))

rewrite7.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_1805`
8×	`*-un-lft-identity_binary64_1783`
6×	`cancel-sign-sub-inv_binary64_1749` `sqrt-prod_binary64_1799`
4×	`difference-of-squares_binary64_1752`
3×	`add-cube-cbrt_binary64_1818` `add-log-exp_binary64_1822`
2×	`distribute-lft-out--_binary64_1735`
1×	`flip3--_binary64_1787` `add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `diff-log_binary64_1875` `flip--_binary64_1758` `sub-neg_binary64_1776` `pow1_binary64_1844`

Counts

1 → 23

Calls

2 calls:

5.0ms	(-.f64 1 (sqrt.f64 x))
0.0ms	(-.f64 1 (sqrt.f64 x))

series13.0ms (0%)

Counts

1 → 3

Calls

1 calls:

13.0ms

(-.f64 1 (sqrt.f64 x))

Compiler

Compiled 30 to 31 computations (-3.3% saved)

simplify70.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4990	234
1	4990	234

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

3.3b	(-.f64 (fabs.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
3.3b	(-.f64 (fabs.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))

rewrite10.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_1805`
9×	`*-un-lft-identity_binary64_1783`
8×	`sqrt-prod_binary64_1799`
6×	`cancel-sign-sub-inv_binary64_1749`
5×	`add-cube-cbrt_binary64_1818`
4×	`add-log-exp_binary64_1822`
3×	`pow1_binary64_1844`
2×	`add-cbrt-cube_binary64_1819` `difference-of-squares_binary64_1752` `add-exp-log_binary64_1821` `sqrt-div_binary64_1800`
1×	`flip3--_binary64_1787` `distribute-lft-out_binary64_1734` `flip-+_binary64_1757` `pow1/2_binary64_1863` `distribute-lft-out--_binary64_1735` `diff-log_binary64_1875` `flip3-+_binary64_1786` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `flip--_binary64_1758` `sub-neg_binary64_1776`

Counts

2 → 36

Calls

4 calls:

5.0ms	(-.f64 (fabs.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(-.f64 (fabs.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))

series39.0ms (0.1%)

Counts

2 → 9

Calls

2 calls:

20.0ms	(-.f64 (fabs.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))
19.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 144 to 125 computations (13.2% saved)

simplify107.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4798	502
1	4798	502

localize8.0ms (0%)

Local error

Found 8 expressions with local error:

30.2b	(-.f64 (exp.f64 (log.f64 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))
2.9b	(log.f64 (sqrt.f64 (+.f64 x 1)))
2.4b	(exp.f64 (log.f64 (sqrt.f64 (+.f64 x 1))))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
2.4b	(exp.f64 (log.f64 (sqrt.f64 (+.f64 x 1))))
2.9b	(log.f64 (sqrt.f64 (+.f64 x 1)))
30.2b	(-.f64 (exp.f64 (log.f64 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))

rewrite32.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_1805`
20×	`sqrt-prod_binary64_1799` `*-un-lft-identity_binary64_1783`
18×	`log-prod_binary64_1869`
12×	`add-cube-cbrt_binary64_1818`
11×	`exp-sum_binary64_1829`
9×	`pow1_binary64_1844`
6×	`difference-of-squares_binary64_1752` `log-pow_binary64_1872` `cancel-sign-sub-inv_binary64_1749` `sqrt-div_binary64_1800` `exp-prod_binary64_1835` `add-log-exp_binary64_1822`
5×	`add-exp-log_binary64_1821`
4×	`add-cbrt-cube_binary64_1819` `log-div_binary64_1870`
3×	`distribute-lft-out_binary64_1734` `flip-+_binary64_1757` `pow1/2_binary64_1863` `flip3-+_binary64_1786` `sqrt-pow1_binary64_1801`
2×	`exp-diff_binary64_1831`
1×	`flip3--_binary64_1787` `rem-exp-log_binary64_1823` `distribute-lft-out--_binary64_1735` `diff-log_binary64_1875` `rem-sqrt-square_binary64_1796` `flip--_binary64_1758` `sub-neg_binary64_1776` `rem-log-exp_binary64_1824`

Counts

4 → 83

Calls

8 calls:

12.0ms	(-.f64 (exp.f64 (log.f64 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))
6.0ms	(exp.f64 (log.f64 (sqrt.f64 (+.f64 x 1))))
4.0ms	(log.f64 (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(sqrt.f64 (+.f64 x 1))

series100.0ms (0.2%)

Counts

4 → 21

Calls

4 calls:

30.0ms	(-.f64 (exp.f64 (log.f64 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))
28.0ms	(log.f64 (sqrt.f64 (+.f64 x 1)))
26.0ms	(exp.f64 (log.f64 (sqrt.f64 (+.f64 x 1))))
17.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 382 to 306 computations (19.9% saved)

simplify110.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4776	1188
1	4776	1188

localize9.0ms (0%)

Local error

Found 8 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.3b	(cbrt.f64 (+.f64 x 1))
0.2b	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
0.1b	(sqrt.f64 (cbrt.f64 (+.f64 x 1)))
0.2b	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
0.3b	(cbrt.f64 (+.f64 x 1))
0.3b	(cbrt.f64 (+.f64 x 1))
12.1b	(-.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) (sqrt.f64 x))

rewrite35.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
13×	`cbrt-prod_binary64_1814`
12×	`add-cube-cbrt_binary64_1818` `sqrt-prod_binary64_1799`
10×	`associate-r_binary64_1723`
6×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `cbrt-div_binary64_1815` `cancel-sign-sub-inv_binary64_1749` `add-log-exp_binary64_1822` `pow1_binary64_1844`
3×	`distribute-lft-out_binary64_1734` `flip-+_binary64_1757` `associate-l_binary64_1724` `flip3-+_binary64_1786` `unswap-sqr_binary64_1751`
2×	`associate-*r/_binary64_1725` `sqrt-div_binary64_1800` `pow1/3_binary64_1865`
1×	`flip3--_binary64_1787` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `diff-log_binary64_1875` `*-commutative_binary64_1714` `pow-prod-down_binary64_1854` `flip--_binary64_1758` `sub-neg_binary64_1776`

Counts

4 → 74

Calls

8 calls:

13.0ms	(-.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) (sqrt.f64 x))
9.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
3.0ms	(cbrt.f64 (+.f64 x 1))
3.0ms	(cbrt.f64 (+.f64 x 1))
0.0ms	(sqrt.f64 (cbrt.f64 (+.f64 x 1)))

series227.0ms (0.5%)

Counts

4 → 30

Calls

4 calls:

78.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
50.0ms	(-.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) (sqrt.f64 x))
50.0ms	(cbrt.f64 (+.f64 x 1))
49.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 946 to 827 computations (12.6% saved)

simplify78.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4903	1860
1	4903	1860

prune3.0s (6%)

Pruning

170 alts after pruning (164 fresh and 6 done)

	Pruned	Kept	Total
New	218	148	366
Fresh	5	16	21
Picked	0	0	0
Done	0	6	6
Total	223	170	393

Error

0.0b

Counts

393 → 170

Compiler

Compiled 6607 to 5114 computations (22.6% saved)

localize7.0ms (0%)

Local error

Found 6 expressions with local error:

0.2b	(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1)
0.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.2b	(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1)

rewrite27.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_1783`
12×	`sqrt-prod_binary64_1799`
9×	`distribute-lft-out_binary64_1734`
7×	`add-sqr-sqrt_binary64_1805`
6×	`add-cube-cbrt_binary64_1818` `unpow-prod-down_binary64_1862`
5×	`add-log-exp_binary64_1822` `pow1_binary64_1844`
4×	`add-exp-log_binary64_1821`
3×	`add-cbrt-cube_binary64_1819` `pow-unpow_binary64_1860`
2×	`flip-+_binary64_1757` `sqrt-div_binary64_1800` `flip3-+_binary64_1786`
1×	`+-commutative_binary64_1713` `sqr-pow_binary64_1755` `unpow-1_binary64_1840` `pow1/2_binary64_1863` `sum-log_binary64_1874` `sqrt-pow1_binary64_1801` `pow-pow_binary64_1855` `rem-sqrt-square_binary64_1796` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`

Counts

3 → 51

Calls

6 calls:

10.0ms	(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1)
8.0ms	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

series48.0ms (0.1%)

Counts

3 → 12

Calls

3 calls:

18.0ms	(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1)
16.0ms	(sqrt.f64 (+.f64 x 1))
14.0ms	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 182 to 168 computations (7.7% saved)

simplify88.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4833	792
1	4833	792

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

0.8b	(exp.f64 (log.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 1/16) -1/8)) 1/2)))))
0.0b	(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 1/16) -1/8)) 1/2))
0.0b	(-.f64 (exp.f64 (log.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 1/16) -1/8)) 1/2))))) (sqrt.f64 x))
0.0b	(.f64 x (+.f64 (.f64 x 1/16) -1/8))
0.0b	(-.f64 (exp.f64 (log.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 1/16) -1/8)) 1/2))))) (sqrt.f64 x))
0.0b	(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 1/16) -1/8)) 1/2))
0.8b	(exp.f64 (log.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 1/16) -1/8)) 1/2)))))
24.2b	(log.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 1/16) -1/8)) 1/2))))

rewrite37.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_1805`
13×	`*-un-lft-identity_binary64_1783`
11×	`add-cube-cbrt_binary64_1818`
8×	`log-prod_binary64_1869` `pow1_binary64_1844`
7×	`add-exp-log_binary64_1821`
6×	`add-cbrt-cube_binary64_1819` `cancel-sign-sub-inv_binary64_1749` `add-log-exp_binary64_1822`
5×	`exp-sum_binary64_1829` `sqrt-prod_binary64_1799`
4×	`difference-of-squares_binary64_1752` `exp-prod_binary64_1835` `log-div_binary64_1870`
3×	`flip-+_binary64_1757` `associate-l_binary64_1724` `flip3-+_binary64_1786` `associate-r_binary64_1723`
2×	`exp-diff_binary64_1831` `associate-*r/_binary64_1725` `log-pow_binary64_1872`
1×	`flip3--_binary64_1787` `rem-exp-log_binary64_1823` `distribute-lft-in_binary64_1732` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `distribute-lft-out--_binary64_1735` `diff-log_binary64_1875` `*-commutative_binary64_1714` `distribute-rgt-in_binary64_1733` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751` `flip--_binary64_1758` `sub-neg_binary64_1776` `rem-log-exp_binary64_1824`

Counts

4 → 75

Calls

8 calls:

11.0ms	(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 1/16) -1/8)) 1/2))
9.0ms	(-.f64 (exp.f64 (log.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 1/16) -1/8)) 1/2))))) (sqrt.f64 x))
6.0ms	(exp.f64 (log.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 1/16) -1/8)) 1/2)))))
3.0ms	(log.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 1/16) -1/8)) 1/2))))
0.0ms	(.f64 x (+.f64 (.f64 x 1/16) -1/8))

series143.0ms (0.3%)

Counts

4 → 20

Calls

4 calls:

38.0ms	(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 1/16) -1/8)) 1/2))
37.0ms	(-.f64 (exp.f64 (log.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 1/16) -1/8)) 1/2))))) (sqrt.f64 x))
35.0ms	(exp.f64 (log.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 1/16) -1/8)) 1/2)))))
32.0ms	(log.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 1/16) -1/8)) 1/2))))

Compiler

Compiled 486 to 433 computations (10.9% saved)

simplify87.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4942	2210
1	4942	2210

localize17.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (+.f64 1 x) (-.f64 x (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
0.0b	(+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3) (pow.f64 x 3/2))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
0.2b	(pow.f64 (sqrt.f64 (+.f64 1 x)) 3)
0.3b	(*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
11.1b	(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (-.f64 x (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
15.8b	(-.f64 x (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

rewrite60.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`*-un-lft-identity_binary64_1783`
33×	`add-sqr-sqrt_binary64_1805`
24×	`add-cube-cbrt_binary64_1818` `distribute-lft-out_binary64_1734`
20×	`times-frac_binary64_1789`
19×	`sqrt-prod_binary64_1799`
10×	`pow1_binary64_1844`
9×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
7×	`unpow-prod-down_binary64_1862` `associate-l_binary64_1724` `cube-prod_binary64_1811`
6×	`associate-/r/_binary64_1729` `flip-+_binary64_1757` `flip3-+_binary64_1786` `add-log-exp_binary64_1822` `associate-r_binary64_1723`
5×	`associate-/r*_binary64_1727`
4×	`associate-/l*_binary64_1728` `frac-add_binary64_1791` `sqrt-div_binary64_1800` `unswap-sqr_binary64_1751`
3×	`flip3--_binary64_1787` `pow-unpow_binary64_1860` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `pow-pow_binary64_1855` `pow-prod-down_binary64_1854` `flip--_binary64_1758`
2×	`associate-/l/_binary64_1730` `associate-*l/_binary64_1726` `cube-div_binary64_1812`
1×	`sqr-pow_binary64_1755` `rem-cube-cbrt_binary64_1806` `cube-mult_binary64_1813` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `sqrt-unprod_binary64_1803` `unpow3_binary64_1849` `div-inv_binary64_1780` `cancel-sign-sub-inv_binary64_1749` `diff-log_binary64_1875` `cbrt-undiv_binary64_1817` `*-commutative_binary64_1714` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `clear-num_binary64_1782` `distribute-rgt-out--_binary64_1737` `pow-to-exp_binary64_1852` `sub-neg_binary64_1776` `sqrt-pow2_binary64_1802` `pow-exp_binary64_1851`

Counts

4 → 131

Calls

8 calls:

25.0ms	(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (-.f64 x (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
9.0ms	(*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
5.0ms	(pow.f64 (sqrt.f64 (+.f64 1 x)) 3)
5.0ms	(-.f64 x (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.0ms	(sqrt.f64 (+.f64 1 x))

series132.0ms (0.3%)

Counts

4 → 21

Calls

4 calls:

44.0ms	(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (-.f64 x (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
32.0ms	(-.f64 x (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
28.0ms	(pow.f64 (sqrt.f64 (+.f64 1 x)) 3)
27.0ms	(*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 760 to 632 computations (16.8% saved)

simplify70.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4950	3883
1	4950	3883

localize14.0ms (0%)

Local error

Found 8 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.2b	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
0.1b	(sqrt.f64 (cbrt.f64 x))
0.1b	(sqrt.f64 (cbrt.f64 (+.f64 x 1)))
0.4b	(*.f64 (neg.f64 (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
3.3b	(+.f64 (.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) (.f64 (neg.f64 (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))))

rewrite26.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_1805`
12×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
10×	`cbrt-prod_binary64_1814` `associate-l_binary64_1724`
9×	`associate-r_binary64_1723`
8×	`sqrt-prod_binary64_1799`
6×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `add-log-exp_binary64_1822` `pow1_binary64_1844`
3×	`distribute-lft-neg-in_binary64_1740` `unswap-sqr_binary64_1751` `distribute-rgt-neg-in_binary64_1741`
2×	`distribute-lft-neg-out_binary64_1742` `pow1/3_binary64_1865`
1×	`unsub-neg_binary64_1777` `+-commutative_binary64_1713` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `flip-+_binary64_1757` `*-commutative_binary64_1714` `sum-log_binary64_1874` `flip3-+_binary64_1786` `neg-mul-1_binary64_1779` `pow-prod-down_binary64_1854`

Counts

4 → 68

Calls

8 calls:

9.0ms	(+.f64 (.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) (.f64 (neg.f64 (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))))
8.0ms	(*.f64 (neg.f64 (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
0.0ms	(sqrt.f64 (cbrt.f64 (+.f64 x 1)))

series418.0ms (0.8%)

Counts

4 → 18

Calls

4 calls:

133.0ms	(+.f64 (.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) (.f64 (neg.f64 (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))))
131.0ms	(*.f64 (neg.f64 (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
78.0ms	(cbrt.f64 x)
76.0ms	(cbrt.f64 x)

Compiler

Compiled 832 to 725 computations (12.9% saved)

simplify61.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4940	1620
1	4940	1620

prune11.2s (22.4%)

Pruning

344 alts after pruning (333 fresh and 11 done)

	Pruned	Kept	Total
New	203	193	396
Fresh	19	140	159
Picked	0	0	0
Done	0	11	11
Total	222	344	566

Error

0.0b

Counts

566 → 344

Compiler

Compiled 16303 to 12245 computations (24.9% saved)

localize9.0ms (0%)

Local error

Found 6 expressions with local error:

0.2b	(pow.f64 (*.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1)
0.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.2b	(pow.f64 (*.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1)

rewrite28.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_1783`
8×	`sqrt-prod_binary64_1799`
7×	`pow1_binary64_1844`
6×	`add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821`
5×	`add-cube-cbrt_binary64_1818` `distribute-lft-out_binary64_1734` `add-log-exp_binary64_1822`
3×	`add-cbrt-cube_binary64_1819` `pow-unpow_binary64_1860`
2×	`flip-+_binary64_1757` `sqrt-div_binary64_1800` `flip3-+_binary64_1786` `pow-pow_binary64_1855` `pow-exp_binary64_1851`
1×	`+-commutative_binary64_1713` `sqr-pow_binary64_1755` `unpow-1_binary64_1840` `prod-exp_binary64_1832` `unpow-prod-down_binary64_1862` `pow1/2_binary64_1863` `sum-log_binary64_1874` `sqrt-pow1_binary64_1801` `pow-prod-down_binary64_1854` `rem-sqrt-square_binary64_1796` `pow-to-exp_binary64_1852`

Counts

3 → 48

Calls

6 calls:

13.0ms	(pow.f64 (*.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1)
8.0ms	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

series52.0ms (0.1%)

Counts

3 → 12

Calls

3 calls:

21.0ms	(pow.f64 (*.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1)
17.0ms	(sqrt.f64 (+.f64 x 1))
14.0ms	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 224 to 210 computations (6.3% saved)

simplify114.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4845	684
1	4845	684

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

15.3b	(sqrt.f64 (+.f64 -1 (*.f64 x x)))
0.2b	(/.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) (sqrt.f64 (+.f64 x -1)))
0.1b	(pow.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 x)) -1)
0.0b	(+.f64 (/.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 x))
0.0b	(+.f64 (/.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 x))
0.1b	(pow.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 x)) -1)
0.2b	(/.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) (sqrt.f64 (+.f64 x -1)))
15.3b	(sqrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite93.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`sqrt-prod_binary64_1799`
57×	`*-un-lft-identity_binary64_1783`
48×	`times-frac_binary64_1789`
47×	`add-sqr-sqrt_binary64_1805`
39×	`add-cube-cbrt_binary64_1818`
9×	`distribute-lft-out_binary64_1734`
8×	`associate-/r*_binary64_1727`
7×	`difference-of-sqr--1_binary64_1754` `add-exp-log_binary64_1821`
6×	`add-cbrt-cube_binary64_1819` `associate-/l*_binary64_1728` `sqrt-div_binary64_1800` `add-log-exp_binary64_1822` `pow1_binary64_1844`
4×	`flip-+_binary64_1757` `unpow-prod-down_binary64_1862` `flip3-+_binary64_1786`
3×	`pow-unpow_binary64_1860`
2×	`associate-/l/_binary64_1730` `associate-/r/_binary64_1729`
1×	`+-commutative_binary64_1713` `sqr-pow_binary64_1755` `unpow-1_binary64_1840` `div-inv_binary64_1780` `sqrt-undiv_binary64_1804` `pow1/2_binary64_1863` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `sum-log_binary64_1874` `div-exp_binary64_1834` `sqrt-pow1_binary64_1801` `pow-pow_binary64_1855` `clear-num_binary64_1782` `rem-sqrt-square_binary64_1796` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`

Counts

4 → 125

Calls

8 calls:

33.0ms	(pow.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 x)) -1)
29.0ms	(+.f64 (/.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 x))
10.0ms	(/.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) (sqrt.f64 (+.f64 x -1)))
3.0ms	(sqrt.f64 (+.f64 -1 (*.f64 x x)))
0.0ms	(+.f64 (/.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 x))

series92.0ms (0.2%)

Counts

4 → 18

Calls

4 calls:

27.0ms	(sqrt.f64 (+.f64 -1 (*.f64 x x)))
25.0ms	(/.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) (sqrt.f64 (+.f64 x -1)))
21.0ms	(pow.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 x)) -1)
19.0ms	(+.f64 (/.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 x))

Compiler

Compiled 335 to 296 computations (11.6% saved)

simplify100.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5786	3554

localize21.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (+.f64 1 x) (-.f64 x (.f64 (sqrt.f64 1) (.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
0.0b	(+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3) (pow.f64 x 3/2))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 1 x))
0.2b	(pow.f64 (sqrt.f64 (+.f64 1 x)) 3)
0.3b	(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
11.1b	(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (-.f64 x (.f64 (sqrt.f64 1) (.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
15.8b	(-.f64 x (.f64 (sqrt.f64 1) (.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))

rewrite64.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`*-un-lft-identity_binary64_1783`
32×	`add-sqr-sqrt_binary64_1805`
24×	`add-cube-cbrt_binary64_1818` `distribute-lft-out_binary64_1734`
20×	`times-frac_binary64_1789`
19×	`sqrt-prod_binary64_1799`
10×	`pow1_binary64_1844`
9×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
7×	`unpow-prod-down_binary64_1862` `associate-l_binary64_1724` `cube-prod_binary64_1811`
6×	`associate-/r/_binary64_1729` `flip-+_binary64_1757` `flip3-+_binary64_1786` `add-log-exp_binary64_1822` `associate-r_binary64_1723`
5×	`associate-/r*_binary64_1727`
4×	`associate-/l*_binary64_1728` `frac-add_binary64_1791` `sqrt-div_binary64_1800` `unswap-sqr_binary64_1751`
3×	`flip3--_binary64_1787` `pow-unpow_binary64_1860` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `pow-pow_binary64_1855` `pow-prod-down_binary64_1854` `flip--_binary64_1758`
2×	`associate-/l/_binary64_1730` `associate-*l/_binary64_1726` `cube-div_binary64_1812`
1×	`sqr-pow_binary64_1755` `rem-cube-cbrt_binary64_1806` `cube-mult_binary64_1813` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `sqrt-unprod_binary64_1803` `unpow3_binary64_1849` `div-inv_binary64_1780` `cancel-sign-sub-inv_binary64_1749` `diff-log_binary64_1875` `cbrt-undiv_binary64_1817` `*-commutative_binary64_1714` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `clear-num_binary64_1782` `pow-to-exp_binary64_1852` `sub-neg_binary64_1776` `sqrt-pow2_binary64_1802` `pow-exp_binary64_1851`

Counts

4 → 130

Calls

8 calls:

25.0ms	(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (-.f64 x (.f64 (sqrt.f64 1) (.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
10.0ms	(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
9.0ms	(pow.f64 (sqrt.f64 (+.f64 1 x)) 3)
3.0ms	(-.f64 x (.f64 (sqrt.f64 1) (.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
0.0ms	(sqrt.f64 (+.f64 1 x))

series138.0ms (0.3%)

Counts

4 → 21

Calls

4 calls:

40.0ms	(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (-.f64 x (.f64 (sqrt.f64 1) (.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
34.0ms	(-.f64 x (.f64 (sqrt.f64 1) (.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
34.0ms	(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
30.0ms	(pow.f64 (sqrt.f64 (+.f64 1 x)) 3)

Compiler

Compiled 808 to 680 computations (15.8% saved)

simplify119.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5000	3880

localize14.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
0.3b	(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.3b	(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.3b	(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.3b	(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))

rewrite70.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`*-un-lft-identity_binary64_1783`
54×	`cbrt-prod_binary64_1814`
36×	`distribute-lft-out_binary64_1734` `sqrt-prod_binary64_1799`
23×	`add-sqr-sqrt_binary64_1805`
18×	`cbrt-div_binary64_1815`
15×	`add-cube-cbrt_binary64_1818`
13×	`swap-sqr_binary64_1750`
11×	`pow1_binary64_1844`
9×	`flip-+_binary64_1757` `associate-l_binary64_1724` `flip3-+_binary64_1786` `pow1/3_binary64_1865` `associate-r_binary64_1723`
6×	`add-exp-log_binary64_1821`
4×	`add-cbrt-cube_binary64_1819` `frac-times_binary64_1793` `unswap-sqr_binary64_1751` `add-log-exp_binary64_1822`
2×	`associate-r/_binary64_1725` `pow-prod-up_binary64_1853` `associate-l/_binary64_1726` `pow-sqr_binary64_1756` `pow-prod-down_binary64_1854`
1×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-plus_binary64_1846` `*-commutative_binary64_1714` `pow2_binary64_1864`

Counts

4 → 109

Calls

8 calls:

24.0ms	(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
9.0ms	(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
9.0ms	(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
8.0ms	(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.0ms	(sqrt.f64 (+.f64 1 x))

series126.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
32.0ms	(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
28.0ms	(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
28.0ms	(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 710 to 608 computations (14.4% saved)

simplify123.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4816	2389
1	4816	2389

prune16.8s (33.4%)

Pruning

494 alts after pruning (478 fresh and 16 done)

	Pruned	Kept	Total
New	311	164	475
Fresh	14	314	328
Picked	0	0	0
Done	0	16	16
Total	325	494	819

Error

0.0b

Counts

819 → 494

Compiler

Compiled 9056 to 6527 computations (27.9% saved)

simplify421.0ms (0.8%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5034	28959

regimes1.3s (2.6%)

Compiler: Compiled 13083 to 10396 computations (20.5% saved)

bsearch0.0ms (0%)

regimes50.0ms (0.1%)

Compiler: Compiled 195 to 172 computations (11.8% saved)

bsearch12.0ms (0%)

Steps

Iters	Range		Point
7	1689174325338867.0	8.363578584523987e+16	4462433962459409.5

Compiler

Compiled 1 to 1 computations (0% saved)

regimes32.0ms (0.1%)

Compiler: Compiled 165 to 146 computations (11.5% saved)

bsearch0.0ms (0%)

regimes10.0ms (0%)

Accuracy

Total 0.2b remaining (95.7%)

Threshold costs 0.2b (95.7%)

Compiler

Compiled 13 to 16 computations (-23.1% saved)

bsearch3.0ms (0%)

Compiler: Compiled 33 to 29 computations (12.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	50
1	28	50

end0.0ms (0%)

sample13.6s (27%)

Algorithm

1×

intervals

Results

245.0ms	2022×	body	1024	valid
145.0ms	4219×	body	128	valid
97.0ms	1049×	body	512	valid
31.0ms	525×	body	256	valid
29.0ms	185×	body	2048	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 13197 to 10497 computations (20.5% saved)

Pareto

-0.3514302549913198