Details

analyze489.0ms (11.6%)

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)

sample63.0ms (1.5%)

Algorithm

1×

intervals

Results

31.0ms	72×	body	1280	valid
12.0ms	50×	body	640	valid
5.0ms	94×	body	80	valid
4.0ms	26×	body	320	valid
2.0ms	14×	body	160	valid
0.0ms	1×	body	80	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify186.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5950	8

prune12.0ms (0.3%)

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 (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite214.0ms (5.1%)

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` `insert-posit16` `flip-+_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 30

Calls

2 calls:

208.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))

series63.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

54.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
9.0ms	(+.f64 1 (exp.f64 x))

simplify154.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	5004	386

prune31.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	3	37

Merged error: 0b

Counts

37 → 3

Compiler

Compiled 362 to 257 computations (29% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite44.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`sqrt-div_binary64`
54×	`cbrt-div_binary64`
30×	`flip3-+_binary64` `flip-+_binary64`
28×	`frac-times_binary64`
26×	`pow1_binary64`
18×	`*-un-lft-identity_binary64`
17×	`sqrt-prod_binary64`
16×	`add-sqr-sqrt_binary64`
14×	`associate-*l/_binary64`
10×	`associate-r_binary64` `add-cube-cbrt_binary64`
9×	`pow-prod-up_binary64` `pow1/3_binary64` `add-exp-log_binary64` `cbrt-prod_binary64`
8×	`associate-*r/_binary64`
6×	`pow-plus_binary64`
5×	`pow-prod-down_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out_binary64` `insert-posit16`
3×	`pow1/2_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `pow-sqr_binary64`
2×	`pow2_binary64`
1×	`associate-l_binary64` `pow3_binary64` `*-commutative_binary64`

Counts

4 → 118

Calls

4 calls:

24.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
4.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

series177.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

49.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
44.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
42.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
42.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

simplify146.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4880	2635
1	4880	2635

prune187.0ms (4.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	131	2	133

Merged error: 0b

Counts

133 → 2

Compiler

Compiled 3067 to 2203 computations (28.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
0.0b	(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64`
21×	`cbrt-prod_binary64`
16×	`sqrt-prod_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
10×	`unpow-prod-down_binary64` `cube-prod_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `sqrt-div_binary64`
5×	`distribute-lft-out_binary64` `add-exp-log_binary64`
4×	`cbrt-div_binary64` `flip3-+_binary64` `add-cbrt-cube_binary64` `insert-posit16` `flip-+_binary64`
3×	`pow-unpow_binary64`
2×	`pow1/3_binary64` `pow-pow_binary64` `cube-div_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `rem-cube-cbrt_binary64` `+-commutative_binary64` `pow-exp_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

4 → 89

Calls

4 calls:

7.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
5.0ms	(cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))

series417.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

219.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
145.0ms	(cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
43.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
9.0ms	(+.f64 1 (exp.f64 x))

simplify102.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5507	1334

prune82.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	101	2	103

Merged error: 0b

Counts

103 → 2

Compiler

Compiled 1191 to 901 computations (24.3% saved)

regimes10.0ms (0.2%)

Compiler: Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	8
1	9	8

end0.0ms (0%)

sample1.8s (42.4%)

Algorithm

1×

intervals

Results

846.0ms	2277×	body	1280	valid
393.0ms	1636×	body	640	valid
140.0ms	2815×	body	80	valid
136.0ms	853×	body	320	valid
45.0ms	419×	body	160	valid
0.0ms	1×	body	80	invalid

Compiler

Compiled 31 to 31 computations (0% saved)

Details

analyze489.0ms (11.6%)

sample63.0ms (1.5%)

simplify186.0ms (4.4%)

prune12.0ms (0.3%)

localize6.0ms (0.1%)

rewrite214.0ms (5.1%)

series63.0ms (1.5%)

simplify154.0ms (3.7%)

prune31.0ms (0.7%)

localize9.0ms (0.2%)

rewrite44.0ms (1.1%)

series177.0ms (4.2%)

simplify146.0ms (3.5%)

prune187.0ms (4.4%)

localize7.0ms (0.2%)

rewrite24.0ms (0.6%)

series417.0ms (9.9%)

simplify102.0ms (2.4%)

prune82.0ms (1.9%)

regimes10.0ms (0.2%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.8s (42.4%)

Profiling