Details

analyze224.0ms (3.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	87.4%	12.6%	6
20.3%	59.3%	20.4%	7
21.1%	51.5%	27.4%	8
35.5%	30.4%	34%	9
35.7%	26.1%	38.1%	10
42.8%	15.4%	41.8%	11
42.9%	13.2%	44%	12
46.4%	7.8%	45.8%	13
46.4%	6.6%	47%	14

Compiler

Compiled 30 to 26 computations (13.3% saved)

sample68.0ms (1.2%)

Algorithm

1×

intervals

Results

33.0ms	75×	body	1024	valid
10.0ms	122×	body	128	valid
8.0ms	35×	body	512	valid
4.0ms	21×	body	256	valid
2.0ms	3×	body	2048	valid
1.0ms	10×	body	128	invalid
1.0ms	2×	body	1024	invalid
0.0ms	6×	body	128	overflowed

Compiler

Compiled 59 to 53 computations (10.2% saved)

simplify154.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5212	41

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 33.2b

Counts

2 → 1

Compiler

Compiled 56 to 48 computations (14.3% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
0.0b	(*.f64 (+.f64 1 eps) x)
0.0b	(*.f64 (-.f64 1 eps) x)
2.8b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))

rewrite61.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`frac-sub_binary64_769`
73×	`exp-neg_binary64_807`
72×	`frac-times_binary64_770`
55×	`exp-diff_binary64_808` `neg-sub0_binary64_755`
40×	`associate-*l/_binary64_703`
36×	`associate-*r/_binary64_702`
29×	`flip--_binary64_735` `flip3--_binary64_764`
28×	`flip3-+_binary64_763` `flip-+_binary64_734`
18×	`un-div-inv_binary64_758`
16×	`add-sqr-sqrt_binary64_782`
14×	`*-un-lft-identity_binary64_760`
10×	`associate-l_binary64_701`
9×	`add-cube-cbrt_binary64_795`
8×	`add-exp-log_binary64_798` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
6×	`exp-prod_binary64_812` `associate-r_binary64_700`
2×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `rem-exp-log_binary64_800` `difference-of-squares_binary64_729` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`
1×	`neg-mul-1_binary64_756` `diff-log_binary64_852` `distribute-lft-out_binary64_711` `distribute-lft-neg-in_binary64_717` `cancel-sign-sub-inv_binary64_726` `distribute-lft-out--_binary64_712` `neg-log_binary64_853` `distribute-rgt-neg-in_binary64_718` `sub-neg_binary64_753`

Counts

4 → 154

Calls

4 calls:

18.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
7.0ms	(*.f64 (-.f64 1 eps) x)
6.0ms	(*.f64 (+.f64 1 eps) x)
3.0ms	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))

series190.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

135.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
19.0ms	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
18.0ms	(*.f64 (-.f64 1 eps) x)
17.0ms	(*.f64 (+.f64 1 eps) x)

simplify129.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4977	8276
1	4977	8276

prune450.0ms (7.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	164	2	166
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	164	3	167

Merged error: 0.1b

Counts

167 → 3

Compiler

Compiled 7771 to 5999 computations (22.8% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (pow.f64 x 3) 2/3)
5.6b	(-.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) 2) (.f64 x x))

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_782`
12×	`associate-l_binary64_701`
7×	`add-exp-log_binary64_798` `add-log-exp_binary64_799`
6×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
4×	`unswap-sqr_binary64_728` `add-cbrt-cube_binary64_796` `cube-prod_binary64_788` `unpow-prod-down_binary64_839`
3×	`prod-exp_binary64_809` `associate-r_binary64_700`
2×	`diff-log_binary64_852` `sqr-pow_binary64_732` `pow1_binary64_821`
1×	`cube-mult_binary64_790` `unpow3_binary64_826` `cancel-sign-sub-inv_binary64_726` `pow-exp_binary64_828` `difference-of-squares_binary64_729` `pow-to-exp_binary64_829` `sum-log_binary64_851` `cbrt-unprod_binary64_793` `associate--l+_binary64_697` `sub-neg_binary64_753` `*-commutative_binary64_691` `flip--_binary64_735` `flip3--_binary64_764`

Counts

2 → 46

Calls

2 calls:

8.0ms	(-.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) 2) (.f64 x x))
6.0ms	(*.f64 (pow.f64 x 3) 2/3)

series40.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

23.0ms	(*.f64 (pow.f64 x 3) 2/3)
17.0ms	(-.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) 2) (.f64 x x))

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4879	687
1	4879	687

prune49.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	52	3	55

Merged error: 0.1b

Counts

55 → 3

Compiler

Compiled 963 to 707 computations (26.6% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (+.f64 1 eps))
0.0b	(*.f64 (-.f64 1 eps) x)
0.5b	(pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))
2.8b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))))

rewrite64.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`frac-sub_binary64_769`
72×	`frac-times_binary64_770`
55×	`neg-sub0_binary64_755`
38×	`associate-*l/_binary64_703`
37×	`pow-neg_binary64_833`
36×	`exp-neg_binary64_807` `associate-*r/_binary64_702`
29×	`flip--_binary64_735` `flip3--_binary64_764`
28×	`pow-sub_binary64_836`
27×	`flip3-+_binary64_763` `exp-diff_binary64_808` `flip-+_binary64_734`
19×	`*-un-lft-identity_binary64_760`
18×	`un-div-inv_binary64_758`
17×	`add-sqr-sqrt_binary64_782`
12×	`add-cube-cbrt_binary64_795`
10×	`pow-unpow_binary64_837`
9×	`add-log-exp_binary64_799`
8×	`exp-prod_binary64_812`
7×	`pow1_binary64_821`
6×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `associate-l_binary64_701`
5×	`pow-pow_binary64_832`
4×	`unpow-prod-down_binary64_839`
3×	`distribute-lft-neg-in_binary64_717` `associate-r_binary64_700` `distribute-rgt-neg-in_binary64_718`
2×	`distribute-lft-out_binary64_711` `rem-exp-log_binary64_800` `difference-of-squares_binary64_729` `exp-sum_binary64_806`
1×	`neg-mul-1_binary64_756` `diff-log_binary64_852` `unswap-sqr_binary64_728` `prod-exp_binary64_809` `cancel-sign-sub-inv_binary64_726` `pow-exp_binary64_828` `pow-to-exp_binary64_829` `distribute-lft-out--_binary64_712` `sum-log_binary64_851` `sqr-pow_binary64_732` `cbrt-unprod_binary64_793` `sub-neg_binary64_753` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

4 → 161

Calls

4 calls:

19.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))))
7.0ms	(*.f64 (-.f64 1 eps) x)
6.0ms	(pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))
4.0ms	(exp.f64 (+.f64 1 eps))

series270.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

206.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))))
42.0ms	(pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))
17.0ms	(*.f64 (-.f64 1 eps) x)
6.0ms	(exp.f64 (+.f64 1 eps))

simplify132.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4980	8548
1	4980	8548

prune510.0ms (8.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	173	3	176

Merged error: 0.1b

Counts

176 → 3

Compiler

Compiled 8044 to 6130 computations (23.8% saved)

regimes384.0ms (6.6%)

Compiler: Compiled 5716 to 4708 computations (17.6% saved)

bsearch96.0ms (1.6%)

Steps

Iters	Range		Point
11	1.7142771694989417e-19	3.7258418073998905	3.694454219854557

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	211	68
1	211	68

end0.0ms (0%)

sample2.9s (49.6%)

Algorithm

1×

intervals

Results

808.0ms	1982×	body	1024	valid
347.0ms	4273×	body	128	valid
253.0ms	1027×	body	512	valid
129.0ms	199×	body	2048	valid
80.0ms	519×	body	256	valid
22.0ms	262×	body	128	invalid
15.0ms	192×	body	128	overflowed
8.0ms	19×	body	1024	invalid
1.0ms	5×	body	512	invalid
1.0ms	4×	body	256	invalid

Compiler

Compiled 1475 to 1216 computations (17.6% saved)

Details

analyze224.0ms (3.8%)

sample68.0ms (1.2%)

simplify154.0ms (2.6%)

prune4.0ms (0.1%)

localize20.0ms (0.3%)

rewrite61.0ms (1%)

series190.0ms (3.2%)

simplify129.0ms (2.2%)

prune450.0ms (7.7%)

localize8.0ms (0.1%)

rewrite17.0ms (0.3%)

series40.0ms (0.7%)

simplify58.0ms (1%)

prune49.0ms (0.8%)

localize20.0ms (0.3%)

rewrite64.0ms (1.1%)

series270.0ms (4.6%)

simplify132.0ms (2.2%)

prune510.0ms (8.7%)

regimes384.0ms (6.6%)

bsearch96.0ms (1.6%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.9s (49.6%)

Profiling