Details

analyze64.0ms (2.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample25.0ms (0.9%)

Algorithm

1×

intervals

Results

12.0ms	233×	body	128	valid
3.0ms	8×	body	1024	valid
2.0ms	11×	body	512	valid
1.0ms	4×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 19 to 19 computations (0% saved)

simplify225.0ms (7.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4811	14
1	4811	14

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: 0.5b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.7b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_6216`
8×	`log-prod_binary64_6302`
6×	`add-log-exp_binary64_6255`
5×	`add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238`
4×	`log-div_binary64_6303` `associate--l+_binary64_6153` `pow1_binary64_6277` `add-exp-log_binary64_6254`
3×	`distribute-lft-out_binary64_6167` `flip-+_binary64_6190` `add-cbrt-cube_binary64_6252` `flip3-+_binary64_6219`
2×	`associate--l-_binary64_6154`
1×	`rem-log-exp_binary64_6257` `cancel-sign-sub-inv_binary64_6182` `flip3--_binary64_6220` `diff-log_binary64_6308` `+-commutative_binary64_6146` `sub-neg_binary64_6209` `flip--_binary64_6191` `log-pow_binary64_6305` `sum-log_binary64_6307`

Counts

3 → 45

Calls

3 calls:

6.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))

series94.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

44.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
43.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
6.0ms	(+.f64 1 (exp.f64 x))

simplify104.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4858	767
1	4858	767

prune49.0ms (1.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	3	55

Merged error: 0.4b

Counts

55 → 3

Compiler

Compiled 825 to 470 computations (43% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b	(-.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
1.4b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
1.4b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite33.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_6216`
14×	`log-prod_binary64_6302`
12×	`sqrt-prod_binary64_6232`
10×	`sqrt-div_binary64_6233` `add-sqr-sqrt_binary64_6238`
9×	`add-cube-cbrt_binary64_6251` `pow1_binary64_6277`
8×	`log-div_binary64_6303`
7×	`add-log-exp_binary64_6255`
6×	`log-pow_binary64_6305` `add-exp-log_binary64_6254`
5×	`flip-+_binary64_6190` `flip3-+_binary64_6219`
4×	`associate--l-_binary64_6154` `add-cbrt-cube_binary64_6252`
3×	`distribute-lft-out_binary64_6167` `sqrt-pow1_binary64_6234` `pow1/2_binary64_6296`
2×	`associate-+l-_binary64_6151` `rem-log-exp_binary64_6257` `diff-log_binary64_6308` `associate-+r-_binary64_6150`
1×	`rem-sqrt-square_binary64_6229` `cancel-sign-sub-inv_binary64_6182` `flip3--_binary64_6220` `associate--l+_binary64_6153` `sub-neg_binary64_6209` `flip--_binary64_6191` `sum-log_binary64_6307`

Counts

4 → 74

Calls

4 calls:

14.0ms	(-.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
3.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

series215.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(-.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
66.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
61.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
18.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

simplify100.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4885	1378
1	4885	1378

prune93.0ms (3.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	86	3	89

Merged error: 0.4b

Counts

89 → 3

Compiler

Compiled 1880 to 1184 computations (37% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 x (+.f64 2 (.f64 x (.f64 x 1/2))))) (*.f64 x y))
0.0b	(+.f64 x (+.f64 2 (.f64 x (.f64 x 1/2))))
8.0b	(log.f64 (+.f64 x (+.f64 2 (.f64 x (.f64 x 1/2)))))

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_6216`
9×	`add-log-exp_binary64_6255`
8×	`log-prod_binary64_6302`
5×	`add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238`
4×	`log-div_binary64_6303` `associate--l+_binary64_6153` `pow1_binary64_6277` `add-exp-log_binary64_6254`
3×	`distribute-lft-out_binary64_6167` `flip-+_binary64_6190` `add-cbrt-cube_binary64_6252` `flip3-+_binary64_6219` `sum-log_binary64_6307`
2×	`associate--l-_binary64_6154`
1×	`associate-+r+_binary64_6148` `rem-log-exp_binary64_6257` `cancel-sign-sub-inv_binary64_6182` `flip3--_binary64_6220` `diff-log_binary64_6308` `+-commutative_binary64_6146` `sub-neg_binary64_6209` `flip--_binary64_6191` `log-pow_binary64_6305`

Counts

3 → 47

Calls

3 calls:

7.0ms	(-.f64 (log.f64 (+.f64 x (+.f64 2 (.f64 x (.f64 x 1/2))))) (*.f64 x y))
6.0ms	(+.f64 x (+.f64 2 (.f64 x (.f64 x 1/2))))
5.0ms	(log.f64 (+.f64 x (+.f64 2 (.f64 x (.f64 x 1/2)))))

series70.0ms (2.5%)

Counts

3 → 9

Calls

3 calls:

41.0ms	(-.f64 (log.f64 (+.f64 x (+.f64 2 (.f64 x (.f64 x 1/2))))) (*.f64 x y))
18.0ms	(log.f64 (+.f64 x (+.f64 2 (.f64 x (.f64 x 1/2)))))
11.0ms	(+.f64 x (+.f64 2 (.f64 x (.f64 x 1/2))))

simplify64.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4958	1292
1	4958	1292

prune66.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	55	4	59

Merged error: 0.4b

Counts

59 → 4

Compiler

Compiled 1352 to 868 computations (35.8% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

1.2b	(cbrt.f64 (log.f64 (+.f64 x (+.f64 2 (.f64 x (.f64 x 1/2))))))
8.0b	(log.f64 (+.f64 x (+.f64 2 (.f64 x (.f64 x 1/2)))))
8.0b	(log.f64 (+.f64 x (+.f64 2 (.f64 x (.f64 x 1/2)))))
8.0b	(log.f64 (+.f64 x (+.f64 2 (.f64 x (.f64 x 1/2)))))

rewrite25.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_6216`
12×	`log-prod_binary64_6302`
8×	`add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238` `pow1_binary64_6277`
7×	`add-exp-log_binary64_6254`
6×	`log-div_binary64_6303`
4×	`cbrt-prod_binary64_6247` `add-cbrt-cube_binary64_6252` `add-log-exp_binary64_6255` `log-pow_binary64_6305`
3×	`rem-log-exp_binary64_6257` `distribute-lft-out_binary64_6167` `flip-+_binary64_6190` `flip3-+_binary64_6219`
1×	`pow1/3_binary64_6298`

Counts

4 → 57

Calls

4 calls:

5.0ms	(log.f64 (+.f64 x (+.f64 2 (.f64 x (.f64 x 1/2)))))
5.0ms	(log.f64 (+.f64 x (+.f64 2 (.f64 x (.f64 x 1/2)))))
5.0ms	(log.f64 (+.f64 x (+.f64 2 (.f64 x (.f64 x 1/2)))))
1.0ms	(cbrt.f64 (log.f64 (+.f64 x (+.f64 2 (.f64 x (.f64 x 1/2))))))

series139.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt.f64 (log.f64 (+.f64 x (+.f64 2 (.f64 x (.f64 x 1/2))))))
17.0ms	(log.f64 (+.f64 x (+.f64 2 (.f64 x (.f64 x 1/2)))))
15.0ms	(log.f64 (+.f64 x (+.f64 2 (.f64 x (.f64 x 1/2)))))
15.0ms	(log.f64 (+.f64 x (+.f64 2 (.f64 x (.f64 x 1/2)))))

simplify75.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5049	1721

prune154.0ms (5.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	70	3	73

Merged error: 0.4b

Counts

73 → 3

Compiler

Compiled 3296 to 2345 computations (28.9% saved)

regimes100.0ms (3.5%)

Compiler: Compiled 1192 to 933 computations (21.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample1.1s (37.8%)

Algorithm

1×

intervals

Results

376.0ms	7408×	body	128	valid
71.0ms	182×	body	1024	valid
52.0ms	232×	body	512	valid
23.0ms	176×	body	256	valid
2.0ms	39×	body	128	invalid
2.0ms	2×	body	2048	valid
0.0ms	11×	body	128	overflowed

Compiler

Compiled 435 to 342 computations (21.4% saved)

Details

analyze64.0ms (2.2%)

sample25.0ms (0.9%)

simplify225.0ms (7.9%)

prune2.0ms (0.1%)

localize7.0ms (0.3%)

rewrite16.0ms (0.6%)

series94.0ms (3.3%)

simplify104.0ms (3.6%)

prune49.0ms (1.7%)

localize11.0ms (0.4%)

rewrite33.0ms (1.2%)

series215.0ms (7.5%)

simplify100.0ms (3.5%)

prune93.0ms (3.3%)

localize10.0ms (0.3%)

rewrite21.0ms (0.7%)

series70.0ms (2.5%)

simplify64.0ms (2.2%)

prune66.0ms (2.3%)

localize15.0ms (0.5%)

rewrite25.0ms (0.9%)

series139.0ms (4.9%)

simplify75.0ms (2.6%)

prune154.0ms (5.4%)

regimes100.0ms (3.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (37.8%)

Profiling