Details

analyze100.0ms (2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 5 to 5 computations (0% saved)

sample51.0ms (1%)

Algorithm

1×

intervals

Results

27.0ms	83×	body	1024	valid
8.0ms	46×	body	512	valid
3.0ms	8×	body	2048	valid
3.0ms	101×	body	128	valid
2.0ms	18×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6

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

37.8b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.7b	(log.f64 (+.f64 1 x))

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

37.7b

Rules

4×	`log-prod_binary64_1869` `*-un-lft-identity_binary64_1783`
2×	`pow1_binary64_1844` `log-div_binary64_1870` `add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821`
1×	`log-pow_binary64_1872` `flip3-+_binary64_1786` `flip-+_binary64_1757` `distribute-lft-out_binary64_1734` `rem-log-exp_binary64_1824` `add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log.f64 (+.f64 1 x))

Compiler

Compiled 152 to 124 computations (18.4% saved)

series42.0ms (0.9%)

Error

0.1b

Counts

1 → 9

Calls

1 calls:

32.0ms

(log.f64 (+.f64 1 x))

Compiler

Compiled 213 to 180 computations (15.5% saved)

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5015	267

prune21.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Error

0.1b

Counts

25 → 3

Compiler

Compiled 235 to 170 computations (27.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)
0.0b	(+.f64 1/3 (*.f64 x -1/4))
0.0b	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
0.2b	(.f64 x (+.f64 1/3 (.f64 x -1/4)))

rewrite109.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

11×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
10×	`add-sqr-sqrt_binary64_1805`
8×	`add-log-exp_binary64_1822`
7×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
6×	`associate-r_binary64_1723`
4×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `flip3-+_binary64_1786` `associate-r/_binary64_1725` `flip-+_binary64_1757` `associate-l*_binary64_1724`
3×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
2×	`unswap-sqr_binary64_1751` `*-commutative_binary64_1714` `sum-log_binary64_1874` `+-commutative_binary64_1713` `associate-+l+_binary64_1716`

Counts

4 → 69

Calls

4 calls:

11.0ms	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
6.0ms	(.f64 x (+.f64 1/3 (.f64 x -1/4)))
6.0ms	(+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)
3.0ms	(+.f64 1/3 (*.f64 x -1/4))

Compiler

Compiled 1669 to 1121 computations (32.8% saved)

series173.0ms (3.5%)

Error

0.1b

Counts

4 → 22

Calls

4 calls:

57.0ms	(.f64 x (+.f64 1/3 (.f64 x -1/4)))
41.0ms	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
32.0ms	(+.f64 1/3 (*.f64 x -1/4))
27.0ms	(+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)

Compiler

Compiled 748 to 534 computations (28.6% saved)

simplify59.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4942	1313
1	4942	1313

prune86.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	91	3	94

Error

0.1b

Counts

94 → 3

Compiler

Compiled 1764 to 1164 computations (34% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 x x) x)
0.3b	(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
15.4b	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
16.8b	(log.f64 (+.f64 (pow.f64 x 3) 1))

rewrite134.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`*-un-lft-identity_binary64_1783`
16×	`log-prod_binary64_1869`
13×	`add-sqr-sqrt_binary64_1805`
11×	`pow1_binary64_1844`
10×	`add-cube-cbrt_binary64_1818`
8×	`log-div_binary64_1870`
7×	`log-pow_binary64_1872` `cancel-sign-sub-inv_binary64_1749`
6×	`add-exp-log_binary64_1821` `add-log-exp_binary64_1822`
4×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `distribute-lft-out_binary64_1734` `add-cbrt-cube_binary64_1819` `distribute-lft-out--_binary64_1735` `associate--l+_binary64_1720` `associate--r+_binary64_1719`
2×	`rem-log-exp_binary64_1824` `diff-log_binary64_1875` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `difference-of-squares_binary64_1752` `associate--r-_binary64_1722` `associate--l-_binary64_1721`
1×	`distribute-rgt-out--_binary64_1737`

Counts

4 → 78

Calls

4 calls:

15.0ms	(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
9.0ms	(log.f64 (+.f64 (pow.f64 x 3) 1))
6.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
4.0ms	(-.f64 (*.f64 x x) x)

Compiler

Compiled 1930 to 1206 computations (37.5% saved)

series325.0ms (6.6%)

Error

0.1b

Counts

4 → 32

Calls

4 calls:

168.0ms	(log.f64 (+.f64 (pow.f64 x 3) 1))
43.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
43.0ms	(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
40.0ms	(-.f64 (*.f64 x x) x)

Compiler

Compiled 1160 to 954 computations (17.8% saved)

simplify97.0ms (2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4891	1907
1	4891	1907

prune116.0ms (2.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	107	6	113

Error

0.0b

Counts

113 → 6

Compiler

Compiled 2283 to 1458 computations (36.1% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.8b	(log.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1)))
14.2b	(cbrt.f64 (+.f64 (pow.f64 x 3) 1))
14.2b	(cbrt.f64 (+.f64 (pow.f64 x 3) 1))
15.4b	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))

rewrite143.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`*-un-lft-identity_binary64_1783`
12×	`cbrt-prod_binary64_1814`
11×	`log-prod_binary64_1869`
9×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805`
6×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `cbrt-div_binary64_1815`
4×	`flip3-+_binary64_1786` `log-div_binary64_1870` `flip-+_binary64_1757` `distribute-lft-out_binary64_1734` `add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819`
3×	`log-pow_binary64_1872` `pow1/3_binary64_1865`
2×	`rem-log-exp_binary64_1824`

Counts

4 → 62

Calls

4 calls:

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

Compiler

Compiled 2151 to 1612 computations (25.1% saved)

series728.0ms (14.8%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

326.0ms	(log.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1)))
151.0ms	(cbrt.f64 (+.f64 (pow.f64 x 3) 1))
151.0ms	(cbrt.f64 (+.f64 (pow.f64 x 3) 1))
48.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))

Compiler

Compiled 2309 to 1907 computations (17.4% saved)

simplify101.0ms (2%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4868	1461
1	4868	1461

prune154.0ms (3.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	95	6	101

Error

0.0b

Counts

101 → 6

Compiler

Compiled 2930 to 2182 computations (25.5% saved)

regimes179.0ms (3.6%)

Accuracy

Total 0.1b remaining (83.3%)

Threshold costs 0.1b (83.3%)

Compiler

Compiled 1745 to 1337 computations (23.4% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	37
1	27	37

end0.0ms (0%)

sample2.2s (43.9%)

Algorithm

1×

intervals

Results

866.0ms	2639×	body	1024	valid
216.0ms	1331×	body	512	valid
113.0ms	247×	body	2048	valid
90.0ms	3109×	body	128	valid
55.0ms	674×	body	256	valid

Compiler

Compiled 593 to 451 computations (23.9% saved)

Details

analyze100.0ms (2%)

sample51.0ms (1%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize3.0ms (0.1%)

rewrite17.0ms (0.3%)

series42.0ms (0.9%)

simplify74.0ms (1.5%)

prune21.0ms (0.4%)

localize12.0ms (0.2%)

rewrite109.0ms (2.2%)

series173.0ms (3.5%)

simplify59.0ms (1.2%)

prune86.0ms (1.8%)

localize11.0ms (0.2%)

rewrite134.0ms (2.7%)

series325.0ms (6.6%)

simplify97.0ms (2%)

prune116.0ms (2.4%)

localize14.0ms (0.3%)

rewrite143.0ms (2.9%)

series728.0ms (14.8%)

simplify101.0ms (2%)

prune154.0ms (3.1%)

regimes179.0ms (3.6%)

bsearch3.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.2s (43.9%)

Profiling