Details

analyze2.1s (20%)

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)

sample228.0ms (2.2%)

Algorithm

1×

intervals

Results

141.0ms	127×	body	1024	valid
36.0ms	70×	body	512	valid
21.0ms	13×	body	2048	valid
8.0ms	256×	pre	128	true
7.0ms	25×	body	256	valid
2.0ms	21×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify113.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	14
1	45	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

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)))
5.7b	(log.f64 (+.f64 1 x))
5.7b	(log.f64 (-.f64 1 x))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_760`
18×	`add-sqr-sqrt_binary64_782`
16×	`times-frac_binary64_766`
15×	`add-cube-cbrt_binary64_795` `pow1_binary64_821`
12×	`log-pow_binary64_849`
10×	`log-prod_binary64_846`
7×	`add-exp-log_binary64_798`
6×	`log-div_binary64_847`
5×	`add-cbrt-cube_binary64_796`
4×	`associate-/r_binary64_704` `associate-/l_binary64_705`
3×	`add-log-exp_binary64_799`
2×	`difference-of-squares_binary64_729` `div-sub_binary64_765` `rem-log-exp_binary64_801` `flip--_binary64_735` `flip3--_binary64_764`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `distribute-lft-out_binary64_711` `flip3-+_binary64_763` `div-inv_binary64_757` `flip-+_binary64_734` `distribute-lft-out--_binary64_712` `div-exp_binary64_811` `clear-num_binary64_759`

Counts

3 → 70

Calls

3 calls:

6.0ms	(/.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))

series144.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

101.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
23.0ms	(log.f64 (+.f64 1 x))
19.0ms	(log.f64 (-.f64 1 x))

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5149	1554

prune127.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	4	80

Error

0.0b

Counts

80 → 4

Compiler

Compiled 1389 to 1071 computations (22.9% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
3×	`prod-exp_binary64_809` `associate-r_binary64_700` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `add-sqr-sqrt_binary64_782`
2×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
1×	`unswap-sqr_binary64_728` `add-log-exp_binary64_799` `associate-l_binary64_701` `*-commutative_binary64_691`

Counts

1 → 19

Calls

1 calls:

11.0ms

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

series33.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify102.0ms (1%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5001	181

prune24.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	22	4	26

Error

0.0b

Counts

26 → 4

Compiler

Compiled 297 to 205 computations (31% 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)))
2.6b	(log.f64 (-.f64 1 (*.f64 x x)))
5.7b	(log.f64 (+.f64 1 x))
5.7b	(log.f64 (+.f64 1 x))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_760` `log-prod_binary64_846`
14×	`add-sqr-sqrt_binary64_782`
12×	`pow1_binary64_821`
10×	`log-div_binary64_847` `add-cube-cbrt_binary64_795`
8×	`log-pow_binary64_849`
7×	`add-exp-log_binary64_798`
5×	`difference-of-squares_binary64_729` `associate--l+_binary64_697`
4×	`cancel-sign-sub-inv_binary64_726` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `distribute-lft-out--_binary64_712` `associate--r+_binary64_696`
3×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `flip-+_binary64_734` `rem-log-exp_binary64_801` `flip--_binary64_735` `flip3--_binary64_764`
2×	`associate--l-_binary64_698` `associate--r-_binary64_699`
1×	`diff-log_binary64_852` `sub-neg_binary64_753`

Counts

4 → 79

Calls

4 calls:

9.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 1 x)))
3.0ms	(log.f64 (+.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))
3.0ms	(log.f64 (-.f64 1 (*.f64 x x)))

series132.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 1 x)))
46.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
22.0ms	(log.f64 (+.f64 1 x))
13.0ms	(log.f64 (+.f64 1 x))

simplify111.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4949	1423
1	4949	1423

prune124.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	92	3	95

Error

Counts

95 → 3

Compiler

Compiled 2012 to 1432 computations (28.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (log.f64 (+.f64 1 x)))
0.0b	(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))
5.7b	(log.f64 (+.f64 1 x))
5.7b	(log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)))

rewrite46.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`*-un-lft-identity_binary64_760`
56×	`times-frac_binary64_766`
45×	`add-sqr-sqrt_binary64_782`
36×	`add-cube-cbrt_binary64_795`
30×	`log-prod_binary64_846`
18×	`difference-of-squares_binary64_729`
16×	`pow1_binary64_821`
12×	`distribute-lft-out_binary64_711` `add-exp-log_binary64_798` `log-pow_binary64_849`
9×	`associate-/l*_binary64_705`
8×	`associate-/r*_binary64_704` `add-cbrt-cube_binary64_796`
4×	`log-div_binary64_847` `associate-/r/_binary64_706` `add-log-exp_binary64_799`
3×	`flip3-+_binary64_763` `div-inv_binary64_757` `flip-+_binary64_734` `rem-log-exp_binary64_801` `div-exp_binary64_811`
2×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `associate-/l/_binary64_707` `div-sub_binary64_765` `clear-num_binary64_759`
1×	`flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 135

Calls

4 calls:

16.0ms	(/.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (log.f64 (+.f64 1 x)))
9.0ms	(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))
7.0ms	(log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)))
3.0ms	(log.f64 (+.f64 1 x))

series273.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

151.0ms	(/.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (log.f64 (+.f64 1 x)))
74.0ms	(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))
25.0ms	(log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)))
22.0ms	(log.f64 (+.f64 1 x))

simplify152.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5100	3505

prune291.0ms (2.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	147	3	150

Error

Counts

150 → 3

Compiler

Compiled 3364 to 2366 computations (29.7% saved)

regimes115.0ms (1.1%)

Accuracy

Total 0.5b remaining (96.1%)

Threshold costs 0.5b (96.1%)

Compiler

Compiled 527 to 439 computations (16.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

end0.0ms (0%)

sample6.2s (59.2%)

Algorithm

1×

intervals

Results

3.6s	3976×	body	1024	valid
894.0ms	1999×	body	512	valid
528.0ms	432×	body	2048	valid
223.0ms	993×	body	256	valid
201.0ms	8000×	pre	128	true
58.0ms	600×	body	128	valid

Compiler

Compiled 275 to 227 computations (17.5% saved)

Details

analyze2.1s (20%)

sample228.0ms (2.2%)

simplify113.0ms (1.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite18.0ms (0.2%)

series144.0ms (1.4%)

simplify69.0ms (0.7%)

prune127.0ms (1.2%)

localize11.0ms (0.1%)

rewrite14.0ms (0.1%)

series33.0ms (0.3%)

simplify102.0ms (1%)

prune24.0ms (0.2%)

localize8.0ms (0.1%)

rewrite27.0ms (0.3%)

series132.0ms (1.3%)

simplify111.0ms (1.1%)

prune124.0ms (1.2%)

localize8.0ms (0.1%)

rewrite46.0ms (0.4%)

series273.0ms (2.6%)

simplify152.0ms (1.4%)

prune291.0ms (2.8%)

regimes115.0ms (1.1%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample6.2s (59.2%)

Profiling