Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	50%	50%	2
25%	25%	50%	3
25%	12.5%	62.5%	4
25%	6.2%	68.8%	5
25%	3.1%	71.9%	6
25%	1.6%	73.5%	7
25%	0.8%	74.2%	8
25%	0.4%	74.6%	9
25%	0.2%	74.8%	10
25%	0.1%	74.9%	11
25%	0%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample14.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

valid

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify263.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (242.0ms)

Iter	Nodes	Cost
0	5493	10

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: 0.3b

Counts

2 → 1

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(log.f64 (log.f64 x))
0.3b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`log-prod_binary64`
9×	`*-un-lft-identity_binary64` `pow1_binary64`
7×	`log-pow_binary64` `add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`
4×	`associate--r+_binary64` `distribute-lft-out--_binary64`
3×	`add-exp-log_binary64` `associate--l+_binary64`
2×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `insert-posit16`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `difference-of-squares_binary64` `flip--_binary64`

Counts

2 → 38

Calls

2 calls:

7.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
2.0ms	(log.f64 (log.f64 x))

series510.0ms (13.3%)

Counts

2 → 6

Calls

2 calls:

291.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
218.0ms	(log.f64 (log.f64 x))

simplify167.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4846	483
1	4846	483

prune31.0ms (0.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	3	45

Merged error: 0b

Counts

45 → 3

Compiler

Compiled 457 to 132 computations (71.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(log.f64 (/.f64 x (log.f64 x)))
0.3b	(/.f64 x (log.f64 x))

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`log-prod_binary64`
10×	`pow1_binary64`
8×	`log-pow_binary64`
7×	`add-exp-log_binary64`
4×	`associate-/r*_binary64` `add-cbrt-cube_binary64`
3×	`associate-/l*_binary64`
2×	`add-log-exp_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `insert-posit16`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64`

Counts

2 → 60

Calls

2 calls:

4.0ms	(/.f64 x (log.f64 x))
3.0ms	(log.f64 (/.f64 x (log.f64 x)))

series476.0ms (12.5%)

Counts

2 → 6

Calls

2 calls:

286.0ms	(log.f64 (/.f64 x (log.f64 x)))
190.0ms	(/.f64 x (log.f64 x))

simplify96.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5059	817

prune40.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	67	2	69

Merged error: 0b

Counts

69 → 2

Compiler

Compiled 665 to 185 computations (72.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (/.f64 1 (/.f64 (log.f64 x) x)))
0.3b	(/.f64 (log.f64 x) x)
0.3b	(/.f64 1 (/.f64 (log.f64 x) x))

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

192×	`times-frac_binary64`
102×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
53×	`log-prod_binary64`
31×	`pow1_binary64`
28×	`log-pow_binary64` `add-exp-log_binary64`
19×	`associate-/r*_binary64`
15×	`div-exp_binary64`
10×	`add-cbrt-cube_binary64` `div-inv_binary64`
7×	`rem-log-exp_binary64` `associate-/l*_binary64`
4×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64`
3×	`add-log-exp_binary64` `insert-posit16`
2×	`associate-/r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `pow-flip_binary64`
1×	`log-rec_binary64` `log-div_binary64`

Counts

3 → 194

Calls

3 calls:

9.0ms	(log.f64 (/.f64 1 (/.f64 (log.f64 x) x)))
8.0ms	(/.f64 1 (/.f64 (log.f64 x) x))
5.0ms	(/.f64 (log.f64 x) x)

series616.0ms (16.1%)

Counts

3 → 9

Calls

3 calls:

283.0ms	(log.f64 (/.f64 1 (/.f64 (log.f64 x) x)))
194.0ms	(/.f64 1 (/.f64 (log.f64 x) x))
138.0ms	(/.f64 (log.f64 x) x)

simplify155.0ms (4%)

Algorithm

1×	egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4970	3181
1	4970	3181

prune135.0ms (3.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	203	0	203
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	203	2	205

Merged error: 0b

Counts

205 → 2

Compiler

Compiled 2559 to 921 computations (64% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (log.f64 x))))
0.4b	(/.f64 (sqrt.f64 x) (log.f64 x))
0.4b	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (log.f64 x)))

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`add-sqr-sqrt_binary64`
52×	`times-frac_binary64`
37×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
35×	`sqrt-prod_binary64`
28×	`associate-r_binary64`
21×	`pow1_binary64`
16×	`add-exp-log_binary64`
15×	`log-pow_binary64`
10×	`add-cbrt-cube_binary64`
6×	`associate-l_binary64` `unswap-sqr_binary64` `associate-/l*_binary64`
4×	`associate-/r*_binary64` `prod-exp_binary64`
3×	`add-log-exp_binary64` `rem-log-exp_binary64` `div-exp_binary64` `insert-posit16`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `div-inv_binary64`
1×	`log-prod_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `*-commutative_binary64`

Counts

3 → 117

Calls

3 calls:

16.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (log.f64 x)))
8.0ms	(log.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (log.f64 x))))
5.0ms	(/.f64 (sqrt.f64 x) (log.f64 x))

series439.0ms (11.5%)

Counts

3 → 9

Calls

3 calls:

203.0ms	(log.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (log.f64 x))))
150.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (log.f64 x)))
86.0ms	(/.f64 (sqrt.f64 x) (log.f64 x))

simplify209.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (172.0ms)

Iter	Nodes	Cost
0	4978	1787
1	4978	1787

prune83.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	126	2	128

Merged error: 0b

Counts

128 → 2

Compiler

Compiled 1769 to 413 computations (76.7% saved)

regimes8.0ms (0.2%)

Compiler: Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	11
1	9	11

end0.0ms (0%)

sample452.0ms (11.8%)

Algorithm

1×

intervals

Results

283.0ms	8000×	body	80	valid
0.0ms	4×	body	80	nan

Compiler

Compiled 30 to 24 computations (20% saved)

Details

analyze3.0ms (0.1%)

sample14.0ms (0.4%)

simplify263.0ms (6.9%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite10.0ms (0.3%)

series510.0ms (13.3%)

simplify167.0ms (4.4%)

prune31.0ms (0.8%)

localize5.0ms (0.1%)

rewrite10.0ms (0.3%)

series476.0ms (12.5%)

simplify96.0ms (2.5%)

prune40.0ms (1.1%)

localize7.0ms (0.2%)

rewrite35.0ms (0.9%)

series616.0ms (16.1%)

simplify155.0ms (4%)

prune135.0ms (3.5%)

localize7.0ms (0.2%)

rewrite35.0ms (0.9%)

series439.0ms (11.5%)

simplify209.0ms (5.5%)

prune83.0ms (2.2%)

regimes8.0ms (0.2%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

end0.0ms (0%)

sample452.0ms (11.8%)

Profiling