Details

analyze186.0ms (3.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4809	13
1	4809	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
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)

sample90.0ms (1.6%)

Algorithm

1×

intervals

Results

65.0ms	130×	body	2048	valid
14.0ms	69×	body	1024	valid
3.0ms	31×	body	512	valid
1.0ms	11×	body	256	valid
1.0ms	15×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify91.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4809	13
1	4809	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: 29.8b

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)
4.5b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_1783`
9×	`add-log-exp_binary64_1822`
6×	`add-sqr-sqrt_binary64_1805` `cancel-sign-sub-inv_binary64_1749`
4×	`add-cube-cbrt_binary64_1818` `frac-add_binary64_1791` `associate-+l+_binary64_1716`
3×	`flip3--_binary64_1787` `flip--_binary64_1758`
2×	`add-cbrt-cube_binary64_1819` `exp-diff_binary64_1831` `add-exp-log_binary64_1821` `distribute-lft-out_binary64_1734` `distribute-lft-out--_binary64_1735` `diff-log_binary64_1875` `exp-neg_binary64_1830` `sum-log_binary64_1874` `neg-sub0_binary64_1778` `sub-neg_binary64_1776` `pow1_binary64_1844`
1×	`difference-of-squares_binary64_1752` `+-commutative_binary64_1713` `flip-+_binary64_1757` `associate-+l-_binary64_1718` `flip3-+_binary64_1786`

Counts

2 → 39

Calls

2 calls:

8.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
4.0ms	(-.f64 (exp.f64 x) 2)

series35.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

28.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
8.0ms	(-.f64 (exp.f64 x) 2)

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4887	654
1	4887	654

prune54.0ms (0.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	40	5	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	5	46

Merged error: 0.1b

Counts

46 → 5

Compiler

Compiled 688 to 371 computations (46.1% 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))

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1805`
14×	`add-exp-log_binary64_1821` `associate-r_binary64_1723`
11×	`add-log-exp_binary64_1822`
10×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
8×	`add-cbrt-cube_binary64_1819` `unpow-prod-down_binary64_1862`
6×	`prod-exp_binary64_1832` `associate-l_binary64_1724` `unswap-sqr_binary64_1751`
4×	`sqr-pow_binary64_1755` `sum-log_binary64_1874` `pow1_binary64_1844`
2×	`+-commutative_binary64_1713` `cbrt-unprod_binary64_1816` `flip-+_binary64_1757` `*-commutative_binary64_1714` `flip3-+_binary64_1786` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`
1×	`associate-+r+_binary64_1715`

Counts

4 → 74

Calls

4 calls:

7.0ms	(+.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))
5.0ms	(*.f64 1/360 (pow.f64 x 6))
5.0ms	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))

series170.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

87.0ms	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
29.0ms	(*.f64 1/360 (pow.f64 x 6))
28.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
24.0ms	(*.f64 1/12 (pow.f64 x 4))

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5006	1259

prune101.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	84	7	91

Merged error: 0.1b

Counts

91 → 7

Compiler

Compiled 1904 to 1344 computations (29.4% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (-.f64 (exp.f64 x) 2) 3)
0.0b	(pow.f64 (exp.f64 x) -2)
0.1b	(pow.f64 (exp.f64 x) -3)
2.7b	(+.f64 (pow.f64 (-.f64 (exp.f64 x) 2) 3) (pow.f64 (exp.f64 x) -3))

rewrite34.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_1783`
17×	`add-sqr-sqrt_binary64_1805`
13×	`add-cube-cbrt_binary64_1818`
11×	`unpow-prod-down_binary64_1862`
9×	`pow-unpow_binary64_1860` `pow-pow_binary64_1855`
7×	`pow1_binary64_1844`
6×	`exp-prod_binary64_1835` `add-log-exp_binary64_1822`
5×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `cube-prod_binary64_1811`
3×	`sqr-pow_binary64_1755` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`
2×	`difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735` `cube-div_binary64_1812`
1×	`flip3--_binary64_1787` `+-commutative_binary64_1713` `rem-cube-cbrt_binary64_1806` `cube-mult_binary64_1813` `distribute-lft-out_binary64_1734` `flip-+_binary64_1757` `unpow3_binary64_1849` `sum-log_binary64_1874` `flip3-+_binary64_1786` `flip--_binary64_1758`

Counts

4 → 81

Calls

4 calls:

15.0ms	(+.f64 (pow.f64 (-.f64 (exp.f64 x) 2) 3) (pow.f64 (exp.f64 x) -3))
5.0ms	(pow.f64 (-.f64 (exp.f64 x) 2) 3)
3.0ms	(pow.f64 (exp.f64 x) -3)
3.0ms	(pow.f64 (exp.f64 x) -2)

series236.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

134.0ms	(+.f64 (pow.f64 (-.f64 (exp.f64 x) 2) 3) (pow.f64 (exp.f64 x) -3))
48.0ms	(pow.f64 (exp.f64 x) -3)
28.0ms	(pow.f64 (-.f64 (exp.f64 x) 2) 3)
25.0ms	(pow.f64 (exp.f64 x) -2)

simplify79.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5003	1151

prune154.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	93	7	100

Merged error: 0.1b

Counts

100 → 7

Compiler

Compiled 3401 to 2027 computations (40.4% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (exp.f64 x) -3)
0.1b	(pow.f64 (-.f64 (exp.f64 x) 2) 6)
0.1b	(pow.f64 (exp.f64 x) -6)
2.7b	(-.f64 (pow.f64 (-.f64 (exp.f64 x) 2) 6) (pow.f64 (exp.f64 x) -6))

rewrite35.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_1805`
20×	`unpow-prod-down_binary64_1862`
18×	`*-un-lft-identity_binary64_1783`
14×	`add-cube-cbrt_binary64_1818`
10×	`difference-of-squares_binary64_1752` `sqr-pow_binary64_1755`
9×	`pow-unpow_binary64_1860` `pow-pow_binary64_1855`
7×	`cancel-sign-sub-inv_binary64_1749` `pow1_binary64_1844`
6×	`exp-prod_binary64_1835` `add-log-exp_binary64_1822`
5×	`add-exp-log_binary64_1821`
4×	`add-cbrt-cube_binary64_1819`
3×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851`
2×	`distribute-lft-out--_binary64_1735`
1×	`flip3--_binary64_1787` `diff-log_binary64_1875` `flip--_binary64_1758` `sub-neg_binary64_1776`

Counts

4 → 87

Calls

4 calls:

12.0ms	(-.f64 (pow.f64 (-.f64 (exp.f64 x) 2) 6) (pow.f64 (exp.f64 x) -6))
5.0ms	(pow.f64 (-.f64 (exp.f64 x) 2) 6)
3.0ms	(pow.f64 (exp.f64 x) -3)
3.0ms	(pow.f64 (exp.f64 x) -6)

series455.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

328.0ms	(-.f64 (pow.f64 (-.f64 (exp.f64 x) 2) 6) (pow.f64 (exp.f64 x) -6))
49.0ms	(pow.f64 (exp.f64 x) -6)
42.0ms	(pow.f64 (-.f64 (exp.f64 x) 2) 6)
35.0ms	(pow.f64 (exp.f64 x) -3)

simplify68.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4999	1557
1	4999	1557

prune225.0ms (3.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	98	8	106

Merged error: 0.0b

Counts

106 → 8

Compiler

Compiled 4739 to 2907 computations (38.7% saved)

regimes109.0ms (1.9%)

Compiler: Compiled 1534 to 1100 computations (28.3% 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%)

sample3.5s (59.4%)

Algorithm

1×

intervals

Results

2.0s	4092×	body	2048	valid
431.0ms	2025×	body	1024	valid
122.0ms	1024×	body	512	valid
32.0ms	475×	body	256	valid
14.0ms	384×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 790 to 571 computations (27.7% saved)

Details

analyze186.0ms (3.2%)

sample90.0ms (1.6%)

simplify91.0ms (1.6%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite15.0ms (0.3%)

series35.0ms (0.6%)

simplify57.0ms (1%)

prune54.0ms (0.9%)

localize9.0ms (0.2%)

rewrite29.0ms (0.5%)

series170.0ms (2.9%)

simplify78.0ms (1.3%)

prune101.0ms (1.7%)

localize15.0ms (0.3%)

rewrite34.0ms (0.6%)

series236.0ms (4.1%)

simplify79.0ms (1.4%)

prune154.0ms (2.6%)

localize22.0ms (0.4%)

rewrite35.0ms (0.6%)

series455.0ms (7.8%)

simplify68.0ms (1.2%)

prune225.0ms (3.9%)

regimes109.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.5s (59.4%)

Profiling