Details

analyze639.0ms (22.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.3%	24.4%	11
31.4%	44.3%	24.4%	12
31.4%	44%	24.5%	13
31.5%	43.8%	24.8%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample54.0ms (1.9%)

Algorithm

1×

intervals

Results

27.0ms	91×	body	1024	valid
8.0ms	48×	body	512	valid
4.0ms	84×	body	128	valid
3.0ms	8×	body	2048	valid
3.0ms	25×	body	256	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify168.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4840	8
1	4840	8

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b	(+.f64 1 (exp.f64 x))

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 28

Calls

2 calls:

6.0ms	(+.f64 1 (exp.f64 x))
3.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

series38.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

21.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
17.0ms	(+.f64 1 (exp.f64 x))

simplify69.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5088	368

prune30.0ms (1.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	1	35

Merged error: 0b

Counts

35 → 1

Compiler

Compiled 322 to 227 computations (29.5% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.7b	(exp.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
0.7b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
14×	`log-prod_binary64`
12×	`sqrt-prod_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`pow1_binary64`
7×	`exp-sum_binary64`
6×	`add-log-exp_binary64` `log-pow_binary64` `sqrt-div_binary64` `exp-prod_binary64`
5×	`add-exp-log_binary64`
4×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64` `log-div_binary64` `flip-+_binary64`
3×	`pow1/2_binary64` `sqrt-pow1_binary64`
2×	`exp-diff_binary64`
1×	`rem-log-exp_binary64` `rem-exp-log_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 71

Calls

4 calls:

6.0ms	(exp.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms	(+.f64 1 (exp.f64 x))
3.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

series177.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(exp.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
63.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
18.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
6.0ms	(+.f64 1 (exp.f64 x))

simplify40.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4946	1042
1	4946	1042

prune64.0ms (2.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	1	84

Merged error: 0b

Counts

84 → 1

Compiler

Compiled 939 to 699 computations (25.6% saved)

regimes32.0ms (1.1%)

Compiler: Compiled 120 to 113 computations (5.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	10	12

end0.0ms (0%)

sample1.5s (52%)

Algorithm

1×

intervals

Results

735.0ms	2604×	body	1024	valid
209.0ms	1316×	body	512	valid
142.0ms	3095×	body	128	valid
95.0ms	286×	body	2048	valid
71.0ms	699×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 44 to 43 computations (2.3% saved)

Details

analyze639.0ms (22.5%)

sample54.0ms (1.9%)

simplify168.0ms (5.9%)

prune6.0ms (0.2%)

localize6.0ms (0.2%)

rewrite11.0ms (0.4%)

series38.0ms (1.3%)

simplify69.0ms (2.4%)

prune30.0ms (1.1%)

localize7.0ms (0.2%)

rewrite21.0ms (0.7%)

series177.0ms (6.2%)

simplify40.0ms (1.4%)

prune64.0ms (2.2%)

regimes32.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.5s (52%)

Profiling