Details

analyze1.4s (18.7%)

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)

sample133.0ms (1.8%)

Algorithm

1×

intervals

Results

78.0ms	121×	body	1024	valid
23.0ms	69×	body	512	valid
12.0ms	14×	body	2048	valid
6.0ms	37×	body	256	valid
5.0ms	256×	pre	128	true
1.0ms	15×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify92.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	14
1	45	14

prune3.0ms (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

62.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
6.8b	(log.f64 (-.f64 1 x))
6.8b	(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))

series95.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

69.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
13.0ms	(log.f64 (+.f64 1 x))
13.0ms	(log.f64 (-.f64 1 x))

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5149	1554

prune102.0ms (1.4%)

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

Error

0.1b

Counts

80 → 3

Compiler

Compiled 1373 to 1058 computations (22.9% saved)

localize5.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms (0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	0	0
Total	3	3

Error

0.1b

Counts

3 → 3

Compiler

Compiled 27 to 23 computations (14.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (log.f64 (+.f64 1 x)))
0.0b	(*.f64 (log.f64 (-.f64 1 x)) (/.f64 1 (log.f64 (+.f64 1 x))))
6.8b	(log.f64 (-.f64 1 x))
6.8b	(log.f64 (+.f64 1 x))

rewrite31.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64_782`
30×	`*-un-lft-identity_binary64_760`
26×	`times-frac_binary64_766`
24×	`add-cube-cbrt_binary64_795`
19×	`add-exp-log_binary64_798`
17×	`pow1_binary64_821`
16×	`associate-r_binary64_700`
11×	`add-cbrt-cube_binary64_796`
10×	`log-pow_binary64_849` `log-prod_binary64_846`
4×	`log-div_binary64_847` `prod-exp_binary64_809` `associate-/r_binary64_704` `add-log-exp_binary64_799` `associate-l*_binary64_701` `div-exp_binary64_811`
3×	`unswap-sqr_binary64_728` `associate-/l*_binary64_705`
2×	`cbrt-undiv_binary64_794` `div-inv_binary64_757` `difference-of-squares_binary64_729` `rem-log-exp_binary64_801` `rec-exp_binary64_810` `cbrt-unprod_binary64_793` `1-exp_binary64_804`
1×	`frac-2neg_binary64_771` `distribute-lft-out_binary64_711` `flip3-+_binary64_763` `inv-pow_binary64_845` `flip-+_binary64_734` `distribute-lft-out--_binary64_712` `associate-r/_binary64_702` `clear-num_binary64_759` `pow-prod-down_binary64_831` `un-div-inv_binary64_758` `-commutative_binary64_691` `flip--_binary64_735` `pow-flip_binary64_834` `flip3--_binary64_764`

Counts

4 → 107

Calls

4 calls:

9.0ms	(*.f64 (log.f64 (-.f64 1 x)) (/.f64 1 (log.f64 (+.f64 1 x))))
6.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))
3.0ms	(/.f64 1 (log.f64 (+.f64 1 x)))

series123.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

62.0ms	(*.f64 (log.f64 (-.f64 1 x)) (/.f64 1 (log.f64 (+.f64 1 x))))
34.0ms	(/.f64 1 (log.f64 (+.f64 1 x)))
13.0ms	(log.f64 (-.f64 1 x))
13.0ms	(log.f64 (+.f64 1 x))

simplify88.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4939	1976
1	4939	1976

prune123.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	119	3	122

Error

0.1b

Counts

122 → 3

Compiler

Compiled 2095 to 1675 computations (20% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x))))
2.5b	(log.f64 (-.f64 1 (*.f64 x x)))
6.8b	(log.f64 (-.f64 1 x))
6.8b	(log.f64 (-.f64 1 x))

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64_760`
38×	`add-sqr-sqrt_binary64_782`
36×	`pow1_binary64_821`
32×	`log-pow_binary64_849` `times-frac_binary64_766`
22×	`distribute-lft-out--_binary64_712`
21×	`add-cube-cbrt_binary64_795`
17×	`log-prod_binary64_846`
11×	`difference-of-squares_binary64_729`
9×	`add-exp-log_binary64_798`
8×	`log-div_binary64_847` `associate-/r*_binary64_704`
6×	`add-cbrt-cube_binary64_796`
5×	`flip--_binary64_735` `flip3--_binary64_764`
4×	`add-log-exp_binary64_799` `associate-/l*_binary64_705`
3×	`rem-log-exp_binary64_801`
2×	`associate-/r/_binary64_706` `div-sub_binary64_765`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `div-exp_binary64_811` `clear-num_binary64_759`

Counts

4 → 110

Calls

4 calls:

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

series136.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

78.0ms	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x))))
32.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
13.0ms	(log.f64 (-.f64 1 x))
13.0ms	(log.f64 (-.f64 1 x))

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4956	3255
1	4956	3255

prune163.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	122	3	125

Error

0.0b

Counts

125 → 3

Compiler

Compiled 3094 to 2193 computations (29.1% saved)

regimes77.0ms (1%)

Accuracy

Total 0.4b remaining (98.7%)

Threshold costs 0.4b (98.7%)

Compiler

Compiled 714 to 593 computations (16.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

end0.0ms (0%)

sample4.6s (62.3%)

Algorithm

1×

intervals

Results

2.6s	4054×	body	1024	valid
646.0ms	1994×	body	512	valid
332.0ms	377×	body	2048	valid
165.0ms	1007×	body	256	valid
155.0ms	8000×	pre	128	true
40.0ms	568×	body	128	valid

Compiler

Compiled 363 to 299 computations (17.6% saved)

Details

analyze1.4s (18.7%)

sample133.0ms (1.8%)

simplify92.0ms (1.2%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite18.0ms (0.2%)

series95.0ms (1.3%)

simplify59.0ms (0.8%)

prune102.0ms (1.4%)

localize5.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite31.0ms (0.4%)

series123.0ms (1.7%)

simplify88.0ms (1.2%)

prune123.0ms (1.7%)

localize11.0ms (0.1%)

rewrite30.0ms (0.4%)

series136.0ms (1.8%)

simplify76.0ms (1%)

prune163.0ms (2.2%)

regimes77.0ms (1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.6s (62.3%)

Profiling