Details

analyze1.6s (19.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample143.0ms (1.8%)

Algorithm

1×

intervals

Results

93.0ms	132×	body	1024	valid
19.0ms	61×	body	512	valid
10.0ms	10×	body	2048	valid
6.0ms	35×	body	256	valid
5.0ms	256×	pre	128	true
1.0ms	18×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify165.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	38	14
1	38	14

prune2.0ms (0%)

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: 61.6b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
6.6b	(log.f64 (+.f64 1 x))
6.7b	(log.f64 (-.f64 1 x))

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_751`
18×	`add-sqr-sqrt_binary64_772`
16×	`times-frac_binary64_757`
15×	`add-cube-cbrt_binary64_783` `pow1_binary64_809`
12×	`log-pow_binary64_837`
10×	`log-prod_binary64_834`
7×	`add-exp-log_binary64_786`
6×	`log-div_binary64_835`
5×	`add-cbrt-cube_binary64_784`
4×	`associate-/r_binary64_697` `associate-/l_binary64_698`
3×	`add-log-exp_binary64_787`
2×	`rem-log-exp_binary64_789` `div-sub_binary64_756` `flip--_binary64_726` `flip3--_binary64_755` `difference-of-squares_binary64_720`
1×	`distribute-lft-out--_binary64_705` `distribute-lft-out_binary64_704` `flip3-+_binary64_754` `div-inv_binary64_748` `cbrt-undiv_binary64_782` `frac-2neg_binary64_762` `clear-num_binary64_750` `flip-+_binary64_725` `div-exp_binary64_799`

Counts

3 → 70

Calls

3 calls:

8.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (+.f64 1 x))

series169.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

118.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
28.0ms	(log.f64 (-.f64 1 x))
23.0ms	(log.f64 (+.f64 1 x))

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5579	1554

prune98.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	3	80

Merged error: 0.0b

Counts

80 → 3

Compiler

Compiled 1368 to 1055 computations (22.9% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 x x) 1/2)

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64_809` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
3×	`prod-exp_binary64_797` `pow-prod-down_binary64_819` `associate-r_binary64_693` `cbrt-unprod_binary64_781` `add-sqr-sqrt_binary64_772`
2×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
1×	`unswap-sqr_binary64_719` `add-log-exp_binary64_787` `-commutative_binary64_684` `associate-l*_binary64_694`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 (*.f64 x x) 1/2)

series34.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

34.0ms

(*.f64 (*.f64 x x) 1/2)

simplify88.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4882	181
1	4882	181

prune21.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	22	3	25

Merged error: 0b

Counts

25 → 3

Compiler

Compiled 286 to 197 computations (31.1% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(pow.f64 (sqrt.f64 (exp.f64 x)) x)
2.2b	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`unpow-prod-down_binary64_827`
10×	`log-prod_binary64_834`
9×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751` `add-sqr-sqrt_binary64_772`
6×	`pow-pow_binary64_820` `sqrt-prod_binary64_766`
5×	`add-exp-log_binary64_786`
4×	`pow1_binary64_809` `sqrt-pow1_binary64_768`
3×	`rem-log-exp_binary64_789` `exp-prod_binary64_800` `pow-unpow_binary64_825`
2×	`pow-to-exp_binary64_817` `pow-exp_binary64_816` `sqr-pow_binary64_723` `add-log-exp_binary64_787` `add-cbrt-cube_binary64_784`
1×	`pow1/2_binary64_828` `log-pow_binary64_837` `sqrt-pow2_binary64_769`

Counts

2 → 47

Calls

2 calls:

5.0ms	(pow.f64 (sqrt.f64 (exp.f64 x)) x)
4.0ms	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))

series316.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

276.0ms	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))
39.0ms	(pow.f64 (sqrt.f64 (exp.f64 x)) x)

simplify125.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4912	572
1	4912	572

prune41.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	53	3	56

Merged error: 0b

Counts

56 → 3

Compiler

Compiled 751 to 422 computations (43.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))))
0.0b	(/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
6.6b	(log.f64 (+.f64 1 x))
6.7b	(log.f64 (-.f64 1 x))

rewrite42.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

140×	`times-frac_binary64_757`
78×	`*-un-lft-identity_binary64_751`
76×	`add-sqr-sqrt_binary64_772`
73×	`add-cube-cbrt_binary64_783`
49×	`pow1_binary64_809`
44×	`log-pow_binary64_837`
24×	`associate-/r*_binary64_697`
19×	`add-exp-log_binary64_786`
11×	`add-cbrt-cube_binary64_784`
10×	`log-prod_binary64_834`
8×	`div-exp_binary64_799`
7×	`associate-/l*_binary64_698`
6×	`log-div_binary64_835` `div-inv_binary64_748`
4×	`add-log-exp_binary64_787` `cbrt-undiv_binary64_782`
2×	`1-exp_binary64_792` `rem-log-exp_binary64_789` `flip3-+_binary64_754` `div-sub_binary64_756` `rec-exp_binary64_798` `frac-2neg_binary64_762` `clear-num_binary64_750` `flip-+_binary64_725` `difference-of-squares_binary64_720`
1×	`distribute-lft-out--_binary64_705` `distribute-lft-out_binary64_704` `flip--_binary64_726` `inv-pow_binary64_833` `associate-/r/_binary64_699` `flip3--_binary64_755` `pow-flip_binary64_822`

Counts

4 → 174

Calls

4 calls:

8.0ms	(/.f64 1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))))
7.0ms	(/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

series291.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

128.0ms	(/.f64 1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))))
115.0ms	(/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
25.0ms	(log.f64 (-.f64 1 x))
22.0ms	(log.f64 (+.f64 1 x))

simplify87.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5194	4578

prune221.0ms (2.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	186	3	189

Merged error: 0b

Counts

189 → 3

Compiler

Compiled 3740 to 3042 computations (18.7% saved)

regimes9.0ms (0.1%)

Compiler: Compiled 34 to 30 computations (11.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	16
1	35	16

end0.0ms (0%)

sample4.5s (55.7%)

Algorithm

1×

intervals

Results

2.8s	3954×	body	1024	valid
652.0ms	1992×	body	512	valid
373.0ms	397×	body	2048	valid
167.0ms	1034×	body	256	valid
149.0ms	8000×	pre	128	true
47.0ms	623×	body	128	valid

Compiler

Compiled 74 to 63 computations (14.9% saved)

Details

analyze1.6s (19.4%)

sample143.0ms (1.8%)

simplify165.0ms (2.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite21.0ms (0.3%)

series169.0ms (2.1%)

simplify71.0ms (0.9%)

prune98.0ms (1.2%)

localize6.0ms (0.1%)

rewrite8.0ms (0.1%)

series34.0ms (0.4%)

simplify88.0ms (1.1%)

prune21.0ms (0.3%)

localize9.0ms (0.1%)

rewrite12.0ms (0.2%)

series316.0ms (3.9%)

simplify125.0ms (1.6%)

prune41.0ms (0.5%)

localize9.0ms (0.1%)

rewrite42.0ms (0.5%)

series291.0ms (3.6%)

simplify87.0ms (1.1%)

prune221.0ms (2.7%)

regimes9.0ms (0.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.5s (55.7%)

Profiling