Details

analyze103.0ms (3.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	13
1	289	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	24.9%	13
75%	0%	25%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify18.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	289	13
1	289	13

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

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
0.1b	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

rewrite50.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_1805`
4×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
3×	`associate-l_binary64_1724` `associate-r_binary64_1723`
2×	`flip3-+_binary64_1786` `associate-*r/_binary64_1725` `flip-+_binary64_1757`
1×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `*-commutative_binary64_1714` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

2 → 33

Calls

2 calls:

6.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
3.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

Compiler

Compiled 542 to 433 computations (20.1% saved)

series84.0ms (3%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

45.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
27.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

Compiler

Compiled 256 to 223 computations (12.9% saved)

simplify86.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4870	482
1	4870	482

prune50.0ms (1.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	5	46

Error

Counts

46 → 5

Compiler

Compiled 633 to 497 computations (21.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 1080863910568919/9007199254740992 (*.f64 x x)))
0.2b	(.f64 1080863910568919/9007199254740992 (.f64 x x))

rewrite43.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
4×	`add-log-exp_binary64_1822` `add-sqr-sqrt_binary64_1805`
3×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `add-cube-cbrt_binary64_1818` `cbrt-unprod_binary64_1816` `-un-lft-identity_binary64_1783` `associate-l*_binary64_1724`
1×	`unswap-sqr_binary64_1751` `associate-r_binary64_1723` `*-commutative_binary64_1714` `sum-log_binary64_1874` `flip3-+_binary64_1786` `flip-+_binary64_1757` `+-commutative_binary64_1713`

Counts

2 → 30

Calls

2 calls:

6.0ms	(.f64 1080863910568919/9007199254740992 (.f64 x x))
4.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 1080863910568919/9007199254740992 (*.f64 x x)))

Compiler

Compiled 549 to 366 computations (33.3% saved)

series85.0ms (3%)

Error

Counts

2 → 9

Calls

2 calls:

55.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 1080863910568919/9007199254740992 (*.f64 x x)))
25.0ms	(.f64 1080863910568919/9007199254740992 (.f64 x x))

Compiler

Compiled 236 to 210 computations (11% saved)

simplify55.0ms (2%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4920	400
1	4920	400

prune36.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	39	5	44

Error

Counts

44 → 5

Compiler

Compiled 572 to 418 computations (26.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))))
0.1b	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
0.2b	(.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
0.2b	(.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (*.f64 x (sqrt.f64 1080863910568919/9007199254740992))))

rewrite122.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
14×	`add-sqr-sqrt_binary64_1805`
12×	`associate-l_binary64_1724`
10×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `add-cube-cbrt_binary64_1818` `cbrt-unprod_binary64_1816` `*-un-lft-identity_binary64_1783`
8×	`associate-r_binary64_1723`
7×	`sqrt-prod_binary64_1799`
6×	`add-log-exp_binary64_1822`
3×	`*-commutative_binary64_1714`
2×	`unswap-sqr_binary64_1751`
1×	`sum-log_binary64_1874` `flip3-+_binary64_1786` `flip-+_binary64_1757` `+-commutative_binary64_1713`

Counts

4 → 75

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (*.f64 x (sqrt.f64 1080863910568919/9007199254740992))))
6.0ms	(.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
5.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
4.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))))

Compiler

Compiled 1684 to 1343 computations (20.2% saved)

series210.0ms (7.5%)

Error

Counts

4 → 15

Calls

4 calls:

77.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))))
51.0ms	(.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (*.f64 x (sqrt.f64 1080863910568919/9007199254740992))))
35.0ms	(.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
33.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))

Compiler

Compiled 572 to 513 computations (10.3% saved)

simplify91.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4940	883
1	4940	883

prune87.0ms (3.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	90	5	95

Error

Counts

95 → 5

Compiler

Compiled 1516 to 1172 computations (22.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite87.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_1814`
23×	`add-sqr-sqrt_binary64_1805`
15×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
11×	`pow1_binary64_1844`
9×	`pow1/3_binary64_1865`
6×	`add-exp-log_binary64_1821` `swap-sqr_binary64_1750` `associate-l_binary64_1724` `associate-r_binary64_1723`
4×	`add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819` `unswap-sqr_binary64_1751`
2×	`pow-prod-down_binary64_1854` `pow-prod-up_binary64_1853` `pow-sqr_binary64_1756`
1×	`pow2_binary64_1864` `pow-plus_binary64_1846` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `*-commutative_binary64_1714`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1524 to 743 computations (51.2% saved)

series324.0ms (11.5%)

Error

Counts

4 → 12

Calls

4 calls:

90.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
75.0ms	(cbrt.f64 x)
75.0ms	(cbrt.f64 x)
72.0ms	(cbrt.f64 x)

Compiler

Compiled 663 to 513 computations (22.6% saved)

simplify75.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune75.0ms (2.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

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

Error

Counts

90 → 5

Compiler

Compiled 1573 to 894 computations (43.2% saved)

regimes180.0ms (6.4%)

Accuracy

Total 0.1b remaining (99%)

Threshold costs 0.1b (99%)

Compiler

Compiled 1712 to 1449 computations (15.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	16
1	73	16

end0.0ms (0%)

sample901.0ms (32%)

Algorithm

1×

intervals

Results

190.0ms

8000×

body

128

valid

Compiler

Compiled 537 to 455 computations (15.3% saved)

Details

analyze103.0ms (3.7%)

sample18.0ms (0.6%)

simplify18.0ms (0.7%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite50.0ms (1.8%)

series84.0ms (3%)

simplify86.0ms (3.1%)

prune50.0ms (1.8%)

localize7.0ms (0.2%)

rewrite43.0ms (1.5%)

series85.0ms (3%)

simplify55.0ms (2%)

prune36.0ms (1.3%)

localize9.0ms (0.3%)

rewrite122.0ms (4.3%)

series210.0ms (7.5%)

simplify91.0ms (3.2%)

prune87.0ms (3.1%)

localize9.0ms (0.3%)

rewrite87.0ms (3.1%)

series324.0ms (11.5%)

simplify75.0ms (2.7%)

prune75.0ms (2.7%)

regimes180.0ms (6.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample901.0ms (32%)

Profiling