Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample105.0ms (1.8%)

Algorithm

1×

intervals

Results

80.0ms	145×	body	2048	valid
12.0ms	51×	body	1024	valid
5.0ms	35×	body	512	valid
1.0ms	12×	body	256	valid
1.0ms	13×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify244.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5087	13

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

Merged error: 26.9b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (exp.f64 x) 2)
5.0b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_1799`
9×	`add-log-exp_binary64_1838`
6×	`add-sqr-sqrt_binary64_1821` `cancel-sign-sub-inv_binary64_1765`
4×	`add-cube-cbrt_binary64_1834` `associate-+l+_binary64_1732` `frac-add_binary64_1807`
3×	`flip--_binary64_1774` `flip3--_binary64_1803`
2×	`pow1_binary64_1860` `exp-diff_binary64_1847` `sum-log_binary64_1890` `sub-neg_binary64_1792` `neg-sub0_binary64_1794` `diff-log_binary64_1891` `add-cbrt-cube_binary64_1835` `exp-neg_binary64_1846` `add-exp-log_binary64_1837` `distribute-lft-out_binary64_1750` `distribute-lft-out--_binary64_1751`
1×	`+-commutative_binary64_1729` `difference-of-squares_binary64_1768` `flip3-+_binary64_1802` `associate-+l-_binary64_1734` `flip-+_binary64_1773`

Counts

2 → 39

Calls

2 calls:

10.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
5.0ms	(-.f64 (exp.f64 x) 2)

series72.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

57.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
14.0ms	(-.f64 (exp.f64 x) 2)

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4904	654
1	4904	654

prune111.0ms (1.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	4	46

Merged error: 0.0b

Counts

46 → 4

Compiler

Compiled 1747 to 1143 computations (34.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
0.1b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))

rewrite32.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1821`
14×	`add-exp-log_binary64_1837` `associate-r_binary64_1739`
11×	`add-log-exp_binary64_1838`
10×	`add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
8×	`unpow-prod-down_binary64_1878` `add-cbrt-cube_binary64_1835`
6×	`prod-exp_binary64_1848` `unswap-sqr_binary64_1767` `associate-l_binary64_1740`
4×	`pow1_binary64_1860` `sum-log_binary64_1890` `sqr-pow_binary64_1771`
2×	`+-commutative_binary64_1729` `pow-to-exp_binary64_1868` `cbrt-unprod_binary64_1832` `pow-exp_binary64_1867` `*-commutative_binary64_1730` `flip3-+_binary64_1802` `flip-+_binary64_1773`
1×	`associate-+r+_binary64_1731`

Counts

4 → 74

Calls

4 calls:

8.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
6.0ms	(*.f64 1/12 (pow.f64 x 4))
6.0ms	(*.f64 1/360 (pow.f64 x 6))
5.0ms	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))

series379.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

193.0ms	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
76.0ms	(*.f64 1/360 (pow.f64 x 6))
60.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
49.0ms	(*.f64 1/12 (pow.f64 x 4))

simplify76.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4979	1259
1	4979	1259

prune137.0ms (2.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

Compiler

Compiled 2514 to 1786 computations (29% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 1/360 (pow.f64 x 6)))
0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 1/360 (pow.f64 x 6))) (*.f64 1/12 (pow.f64 x 4)))
0.1b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))

rewrite32.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1821`
14×	`add-exp-log_binary64_1837` `associate-r_binary64_1739`
11×	`add-log-exp_binary64_1838`
10×	`add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
8×	`unpow-prod-down_binary64_1878` `add-cbrt-cube_binary64_1835`
6×	`prod-exp_binary64_1848` `unswap-sqr_binary64_1767` `associate-l_binary64_1740`
4×	`pow1_binary64_1860` `sum-log_binary64_1890` `sqr-pow_binary64_1771`
2×	`+-commutative_binary64_1729` `pow-to-exp_binary64_1868` `cbrt-unprod_binary64_1832` `pow-exp_binary64_1867` `*-commutative_binary64_1730` `flip3-+_binary64_1802` `flip-+_binary64_1773`
1×	`associate-+l+_binary64_1732`

Counts

4 → 74

Calls

4 calls:

8.0ms	(*.f64 1/360 (pow.f64 x 6))
8.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 1/360 (pow.f64 x 6))) (*.f64 1/12 (pow.f64 x 4)))
6.0ms	(*.f64 1/12 (pow.f64 x 4))
4.0ms	(+.f64 (.f64 x x) (.f64 1/360 (pow.f64 x 6)))

series359.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

193.0ms	(+.f64 (.f64 x x) (.f64 1/360 (pow.f64 x 6)))
58.0ms	(*.f64 1/360 (pow.f64 x 6))
55.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 1/360 (pow.f64 x 6))) (*.f64 1/12 (pow.f64 x 4)))
53.0ms	(*.f64 1/12 (pow.f64 x 4))

simplify88.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4842	1217
1	4842	1217

prune109.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	86	6	92

Merged error: 0.0b

Counts

92 → 6

Compiler

Compiled 2024 to 1423 computations (29.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))
2.4b	(exp.f64 (log.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))
32.2b	(log.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))

rewrite38.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_1821`
15×	`add-exp-log_binary64_1837`
14×	`associate-r_binary64_1739`
13×	`add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
8×	`unpow-prod-down_binary64_1878` `add-cbrt-cube_binary64_1835`
6×	`pow1_binary64_1860` `log-prod_binary64_1885` `prod-exp_binary64_1848` `unswap-sqr_binary64_1767` `associate-l_binary64_1740`
4×	`add-log-exp_binary64_1838` `sqr-pow_binary64_1771` `exp-prod_binary64_1851` `log-div_binary64_1886`
3×	`exp-sum_binary64_1845`
2×	`exp-diff_binary64_1847` `pow-to-exp_binary64_1868` `cbrt-unprod_binary64_1832` `pow-exp_binary64_1867` `*-commutative_binary64_1730` `log-pow_binary64_1888` `flip3-+_binary64_1802` `flip-+_binary64_1773`
1×	`rem-exp-log_binary64_1839` `rem-log-exp_binary64_1840`

Counts

4 → 81

Calls

4 calls:

11.0ms	(exp.f64 (log.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))
7.0ms	(log.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
6.0ms	(*.f64 1/360 (pow.f64 x 6))
6.0ms	(*.f64 1/12 (pow.f64 x 4))

series305.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

124.0ms	(exp.f64 (log.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))
77.0ms	(log.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
59.0ms	(*.f64 1/360 (pow.f64 x 6))
45.0ms	(*.f64 1/12 (pow.f64 x 4))

simplify56.0ms (1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5199	1721

prune128.0ms (2.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	93	6	99

Merged error: 0.0b

Counts

99 → 6

Compiler

Compiled 2341 to 1708 computations (27% saved)

regimes18.0ms (0.3%)

Compiler: Compiled 139 to 100 computations (28.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	22
1	17	22

end0.0ms (0%)

sample3.4s (58.7%)

Algorithm

1×

intervals

Results

2.4s	4231×	body	2048	valid
497.0ms	1966×	body	1024	valid
136.0ms	992×	body	512	valid
35.0ms	433×	body	256	valid
19.0ms	378×	body	128	valid

Compiler

Compiled 169 to 127 computations (24.9% saved)

Details

analyze4.0ms (0.1%)

sample105.0ms (1.8%)

simplify244.0ms (4.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite17.0ms (0.3%)

series72.0ms (1.2%)

simplify61.0ms (1%)

prune111.0ms (1.9%)

localize9.0ms (0.2%)

rewrite32.0ms (0.5%)

series379.0ms (6.5%)

simplify76.0ms (1.3%)

prune137.0ms (2.3%)

localize10.0ms (0.2%)

rewrite32.0ms (0.6%)

series359.0ms (6.2%)

simplify88.0ms (1.5%)

prune109.0ms (1.9%)

localize13.0ms (0.2%)

rewrite38.0ms (0.7%)

series305.0ms (5.2%)

simplify56.0ms (1%)

prune128.0ms (2.2%)

regimes18.0ms (0.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.4s (58.7%)

Profiling