Details

analyze1.3s (17.1%)

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)

sample141.0ms (1.8%)

Algorithm

1×

intervals

Results

90.0ms	128×	body	1024	valid
21.0ms	67×	body	512	valid
11.0ms	12×	body	2048	valid
5.0ms	32×	body	256	valid
5.0ms	256×	pre	128	true
1.0ms	17×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify167.0ms (2.2%)

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: 61.7b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
5.0b	(log.f64 (+.f64 1 x))
5.0b	(log.f64 (-.f64 1 x))

rewrite20.0ms (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:

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))

series185.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

134.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
26.0ms	(log.f64 (-.f64 1 x))
24.0ms	(log.f64 (+.f64 1 x))

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5579	1554

prune105.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	72	7	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	7	80

Merged error: 0.1b

Counts

80 → 7

Compiler

Compiled 1448 to 1122 computations (22.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_787`
3×	`*-un-lft-identity_binary64_751` `add-sqr-sqrt_binary64_772`
2×	`diff-log_binary64_840`
1×	`distribute-lft-out--_binary64_705` `add-cube-cbrt_binary64_783` `pow1_binary64_809` `flip--_binary64_726` `add-cbrt-cube_binary64_784` `sum-log_binary64_839` `add-exp-log_binary64_786` `associate--r+_binary64_689` `sub-neg_binary64_744` `flip3--_binary64_755` `difference-of-squares_binary64_720`

Counts

1 → 15

Calls

1 calls:

6.0ms

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

series25.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4849	335
1	4849	335

prune20.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	18	7	25

Merged error: 0.1b

Counts

25 → 7

Compiler

Compiled 370 to 255 computations (31.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
1.8b	(log.f64 (-.f64 1 (*.f64 x x)))
5.0b	(log.f64 (-.f64 1 x))
5.0b	(log.f64 (-.f64 1 x))

rewrite31.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64_834`
24×	`*-un-lft-identity_binary64_751`
22×	`add-sqr-sqrt_binary64_772`
11×	`pow1_binary64_809` `difference-of-squares_binary64_720`
10×	`log-div_binary64_835`
9×	`add-cube-cbrt_binary64_783`
7×	`distribute-lft-out--_binary64_705` `log-pow_binary64_837` `add-exp-log_binary64_786`
6×	`flip--_binary64_726` `associate--r+_binary64_689` `flip3--_binary64_755`
5×	`associate--l+_binary64_690`
4×	`add-log-exp_binary64_787` `add-cbrt-cube_binary64_784`
3×	`rem-log-exp_binary64_789`
2×	`associate--l-_binary64_691` `associate--r-_binary64_692`
1×	`diff-log_binary64_840` `sub-neg_binary64_744`

Counts

4 → 81

Calls

4 calls:

10.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
6.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (-.f64 1 (*.f64 x x)))

series161.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

62.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
49.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
25.0ms	(log.f64 (-.f64 1 x))
25.0ms	(log.f64 (-.f64 1 x))

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4948	1481
1	4948	1481

prune110.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	96	4	100

Merged error: 0.0b

Counts

100 → 4

Compiler

Compiled 2103 to 1495 computations (28.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))))
0.0b	(/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))
5.0b	(log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)))
5.0b	(log.f64 (-.f64 1 x))

rewrite50.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`*-un-lft-identity_binary64_751` `add-sqr-sqrt_binary64_772`
76×	`times-frac_binary64_757`
50×	`difference-of-squares_binary64_720`
42×	`log-prod_binary64_834`
40×	`add-cube-cbrt_binary64_783`
16×	`pow1_binary64_809`
12×	`distribute-lft-out--_binary64_705` `log-pow_binary64_837` `add-exp-log_binary64_786`
10×	`associate-/r*_binary64_697`
9×	`associate-/l*_binary64_698`
8×	`add-cbrt-cube_binary64_784`
5×	`log-div_binary64_835` `flip--_binary64_726` `flip3--_binary64_755`
4×	`add-log-exp_binary64_787` `associate-/r/_binary64_699`
3×	`rem-log-exp_binary64_789` `div-sub_binary64_756` `div-inv_binary64_748` `div-exp_binary64_799`
2×	`associate-/l/_binary64_700` `cbrt-undiv_binary64_782` `frac-2neg_binary64_762` `clear-num_binary64_750`

Counts

4 → 160

Calls

4 calls:

11.0ms	(/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))
9.0ms	(log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)))
7.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))))
4.0ms	(log.f64 (-.f64 1 x))

series318.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

150.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))))
102.0ms	(/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))
40.0ms	(log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)))
26.0ms	(log.f64 (-.f64 1 x))

simplify90.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5253	4218

prune229.0ms (3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	170	2	172
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	171	5	176

Merged error: 0b

Counts

176 → 5

Compiler

Compiled 4002 to 2778 computations (30.6% saved)

regimes13.0ms (0.2%)

Compiler: Compiled 83 to 70 computations (15.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

end0.0ms (0%)

sample4.5s (58.3%)

Algorithm

1×

intervals

Results

2.8s	3967×	body	1024	valid
659.0ms	2035×	body	512	valid
361.0ms	391×	body	2048	valid
160.0ms	1020×	body	256	valid
148.0ms	8000×	pre	128	true
41.0ms	587×	body	128	valid

Compiler

Compiled 122 to 102 computations (16.4% saved)

Details

analyze1.3s (17.1%)

sample141.0ms (1.8%)

simplify167.0ms (2.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite20.0ms (0.3%)

series185.0ms (2.4%)

simplify68.0ms (0.9%)

prune105.0ms (1.4%)

localize5.0ms (0.1%)

rewrite7.0ms (0.1%)

series25.0ms (0.3%)

simplify50.0ms (0.6%)

prune20.0ms (0.3%)

localize8.0ms (0.1%)

rewrite31.0ms (0.4%)

series161.0ms (2.1%)

simplify67.0ms (0.9%)

prune110.0ms (1.4%)

localize9.0ms (0.1%)

rewrite50.0ms (0.7%)

series318.0ms (4.2%)

simplify90.0ms (1.2%)

prune229.0ms (3%)

regimes13.0ms (0.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.5s (58.3%)

Profiling