Details

analyze3.0ms (0.1%)

Algorithm

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)

sample57.0ms (1.7%)

Algorithm

1×

intervals

Results

33.0ms	89×	body	1024	valid
8.0ms	49×	body	512	valid
5.0ms	10×	body	2048	valid
3.0ms	84×	body	128	valid
2.0ms	24×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify170.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6

prune2.0ms (0.1%)

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

Merged error: 42.2b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.1b	(log.f64 (+.f64 1 x))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`log-prod_binary64_1541` `*-un-lft-identity_binary64_1455`
2×	`add-sqr-sqrt_binary64_1477` `log-div_binary64_1542` `pow1_binary64_1516` `add-cube-cbrt_binary64_1490` `add-exp-log_binary64_1493`
1×	`distribute-lft-out_binary64_1406` `flip-+_binary64_1429` `add-log-exp_binary64_1494` `add-cbrt-cube_binary64_1491` `flip3-+_binary64_1458` `rem-log-exp_binary64_1496` `log-pow_binary64_1544`

Counts

1 → 15

Calls

1 calls:

4.0ms

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

series25.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify90.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4863	210
1	4863	210

prune47.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	5	19

Merged error: 0.1b

Counts

19 → 5

Compiler

Compiled 461 to 383 computations (16.9% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 -1/2 (*.f64 x 1/3))
0.0b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.1b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.3b	(*.f64 x 1/3)

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1477`
10×	`pow1_binary64_1516` `add-cbrt-cube_binary64_1491` `add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455` `add-exp-log_binary64_1493`
9×	`associate-r_binary64_1395` `associate-l_binary64_1396`
6×	`add-log-exp_binary64_1494`
4×	`associate-*r/_binary64_1397`
3×	`prod-exp_binary64_1504` `flip-+_binary64_1429` `*-commutative_binary64_1386` `cbrt-unprod_binary64_1488` `flip3-+_binary64_1458` `pow-prod-down_binary64_1526` `unswap-sqr_binary64_1423`
2×	`distribute-rgt-in_binary64_1405` `distribute-lft-in_binary64_1404`
1×	`sum-log_binary64_1546` `+-commutative_binary64_1385`

Counts

4 → 73

Calls

4 calls:

6.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
6.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
4.0ms	(*.f64 x 1/3)
3.0ms	(+.f64 -1/2 (*.f64 x 1/3))

series180.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

73.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
43.0ms	(+.f64 -1/2 (*.f64 x 1/3))
34.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
30.0ms	(*.f64 x 1/3)

simplify65.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4983	1050
1	4983	1050

prune88.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	85	5	90

Merged error: 0.1b

Counts

90 → 5

Compiler

Compiled 1519 to 1154 computations (24% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 x 1/3) -1/2)
0.0b	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
0.0b	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
0.3b	(*.f64 x 1/3)

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_1477` `pow1_binary64_1516` `add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
9×	`add-cube-cbrt_binary64_1490` `associate-l_binary64_1396` `*-un-lft-identity_binary64_1455`
7×	`associate-r_binary64_1395`
6×	`associate-*r/_binary64_1397` `add-log-exp_binary64_1494`
5×	`prod-exp_binary64_1504` `distribute-rgt-in_binary64_1405` `distribute-lft-in_binary64_1404` `cbrt-unprod_binary64_1488` `pow-prod-down_binary64_1526`
3×	`flip-+_binary64_1429` `*-commutative_binary64_1386` `flip3-+_binary64_1458`
2×	`unswap-sqr_binary64_1423`
1×	`sum-log_binary64_1546` `+-commutative_binary64_1385`

Counts

4 → 75

Calls

4 calls:

9.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
7.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
4.0ms	(+.f64 (*.f64 x 1/3) -1/2)
4.0ms	(*.f64 x 1/3)

series236.0ms (7%)

Counts

4 → 12

Calls

4 calls:

93.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
75.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
46.0ms	(+.f64 (*.f64 x 1/3) -1/2)
22.0ms	(*.f64 x 1/3)

simplify57.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5113	967

prune73.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	87	5	92

Merged error: 0.1b

Counts

92 → 5

Compiler

Compiled 1342 to 923 computations (31.2% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
3.9b	(log.f64 (sqrt.f64 (+.f64 1 x)))
3.9b	(log.f64 (sqrt.f64 (+.f64 1 x)))

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_1455`
16×	`sqrt-prod_binary64_1471`
14×	`log-prod_binary64_1541`
12×	`add-sqr-sqrt_binary64_1477`
10×	`pow1_binary64_1516` `add-cube-cbrt_binary64_1490`
8×	`sqrt-div_binary64_1472`
6×	`log-pow_binary64_1544` `add-exp-log_binary64_1493`
4×	`sqrt-pow1_binary64_1473` `distribute-lft-out_binary64_1406` `flip-+_binary64_1429` `log-div_binary64_1542` `add-log-exp_binary64_1494` `add-cbrt-cube_binary64_1491` `pow1/2_binary64_1535` `flip3-+_binary64_1458`
2×	`rem-sqrt-square_binary64_1468` `rem-log-exp_binary64_1496`

Counts

4 → 72

Calls

4 calls:

5.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
4.0ms	(sqrt.f64 (+.f64 1 x))
3.0ms	(sqrt.f64 (+.f64 1 x))

series139.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

44.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
41.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
30.0ms	(sqrt.f64 (+.f64 1 x))
24.0ms	(sqrt.f64 (+.f64 1 x))

simplify95.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4956	1256
1	4956	1256

prune115.0ms (3.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	83	6	89

Merged error: 0.1b

Counts

89 → 6

Compiler

Compiled 1847 to 1462 computations (20.8% saved)

regimes67.0ms (2%)

Compiler: Compiled 346 to 307 computations (11.3% saved)

bsearch1.0ms (0%)

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

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	31
1	23	31

end0.0ms (0%)

sample1.7s (52%)

Algorithm

1×

intervals

Results

938.0ms	2613×	body	1024	valid
231.0ms	1356×	body	512	valid
116.0ms	248×	body	2048	valid
101.0ms	3108×	body	128	valid
57.0ms	675×	body	256	valid

Compiler

Compiled 127 to 108 computations (15% saved)

Details

analyze3.0ms (0.1%)

sample57.0ms (1.7%)

simplify170.0ms (5%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite5.0ms (0.2%)

series25.0ms (0.7%)

simplify90.0ms (2.7%)

prune47.0ms (1.4%)

localize7.0ms (0.2%)

rewrite24.0ms (0.7%)

series180.0ms (5.4%)

simplify65.0ms (1.9%)

prune88.0ms (2.6%)

localize7.0ms (0.2%)

rewrite31.0ms (0.9%)

series236.0ms (7%)

simplify57.0ms (1.7%)

prune73.0ms (2.2%)

localize6.0ms (0.2%)

rewrite21.0ms (0.6%)

series139.0ms (4.1%)

simplify95.0ms (2.8%)

prune115.0ms (3.4%)

regimes67.0ms (2%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.7s (52%)

Profiling