Details

analyze4.4s (4.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
0%	25%	75%	2
0%	25%	75%	3
0%	25%	75%	4
0%	25%	75%	5
0%	25%	75%	6
0%	25%	75%	7
0%	25%	75%	8
1.6%	23.4%	75%	9
1.6%	23.4%	75%	10
1.6%	23.4%	75%	11
1.6%	23.4%	75%	12
1.6%	23.4%	75%	13
1.6%	23.4%	75%	14

Compiler

Compiled 50 to 40 computations (20% saved)

sample8.4s (8.2%)

Algorithm

1×

intervals

Results

6.5s	535×	body	8192	exit
829.0ms	423×	body	1024	overflowed
505.0ms	2275×	body	128	overflowed
218.0ms	210×	body	512	overflowed
100.0ms	3808×	pre	128	true
56.0ms	108×	body	256	overflowed
34.0ms	253×	body	128	valid
4.0ms	2×	body	1024	valid
3.0ms	1×	body	2048	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify215.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5010	68

prune4.0ms (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: 5.5b

Counts

2 → 1

Compiler

Compiled 86 to 70 computations (18.6% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
0.5b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
1.0b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
3.4b	(/.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))

rewrite185.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

1192×	`add-exp-log_binary64_3819`
692×	`pow-exp_binary64_3849`
684×	`prod-exp_binary64_3830`
593×	`div-exp_binary64_3832`
344×	`pow-to-exp_binary64_3850`
116×	`rec-exp_binary64_3831` `1-exp_binary64_3825`
42×	`*-un-lft-identity_binary64_3784`
36×	`unpow-prod-down_binary64_3860`
33×	`add-sqr-sqrt_binary64_3805`
29×	`times-frac_binary64_3790`
22×	`add-cube-cbrt_binary64_3816`
16×	`add-cbrt-cube_binary64_3817`
8×	`pow1_binary64_3842`
6×	`pow-unpow_binary64_3858` `distribute-lft-out_binary64_3737` `add-log-exp_binary64_3820` `difference-of-squares_binary64_3753` `pow-pow_binary64_3853`
4×	`div-inv_binary64_3781` `associate-/r/_binary64_3732` `cbrt-undiv_binary64_3815` `cbrt-unprod_binary64_3814`
2×	`flip-+_binary64_3758` `distribute-lft-out--_binary64_3738` `flip3-+_binary64_3787` `pow-flip_binary64_3855` `sqr-pow_binary64_3756` `inv-pow_binary64_3866`
1×	`clear-num_binary64_3783` `flip3--_binary64_3788` `associate-/l_binary64_3731` `frac-2neg_binary64_3795` `diff-log_binary64_3873` `associate-/r_binary64_3730` `flip--_binary64_3759` `sub-neg_binary64_3777`

Counts

4 → 471

Calls

4 calls:

55.0ms	(/.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
12.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
9.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
8.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)

series2.0s (2%)

Counts

4 → 12

Calls

4 calls:

1.7s	(/.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
108.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
103.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
57.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))

simplify220.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

483 → 483

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5390	27317

prune1.5s (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	478	5	483
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	479	5	484

Merged error: 0.4b

Counts

484 → 5

Compiler

Compiled 21021 to 13389 computations (36.3% saved)

localize6.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune9.0ms (0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	0	0
Total	5	5

Merged error: 0.4b

Counts

5 → 5

Compiler

Compiled 206 to 168 computations (18.4% saved)

localize30.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
1.3b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
11.2b	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
11.2b	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))

rewrite65.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64_3784`
38×	`log-prod_binary64_3867`
36×	`add-sqr-sqrt_binary64_3805`
15×	`associate--r+_binary64_3722` `associate--l+_binary64_3723`
14×	`difference-of-squares_binary64_3753` `pow1_binary64_3842`
12×	`distribute-lft-out--_binary64_3738` `log-div_binary64_3868`
10×	`log-pow_binary64_3870` `add-cube-cbrt_binary64_3816`
8×	`times-frac_binary64_3790`
6×	`add-exp-log_binary64_3819`
4×	`flip-+_binary64_3758` `flip3-+_binary64_3787` `flip3--_binary64_3788` `distribute-lft-out_binary64_3737` `add-log-exp_binary64_3820` `associate--r-_binary64_3725` `associate--l-_binary64_3724` `add-cbrt-cube_binary64_3817` `flip--_binary64_3759`
2×	`div-inv_binary64_3781` `diff-log_binary64_3873` `rem-log-exp_binary64_3822` `sub-neg_binary64_3777`

Counts

4 → 100

Calls

4 calls:

28.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
12.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

series555.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

253.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
134.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
85.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
82.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

simplify101.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4885	3125
1	4885	3125

prune310.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	2	1	3
Picked	1	0	1
Done	1	0	1
Total	112	5	117

Merged error: 0.0b

Counts

117 → 5

Compiler

Compiled 5827 to 3866 computations (33.7% saved)

localize30.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (neg.f64 c_p) (+.f64 (.f64 t 1/2) (.f64 s (+.f64 -1/2 (.f64 s 1/8)))))
0.3b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
0.3b	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
11.2b	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))

rewrite81.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`add-sqr-sqrt_binary64_3805`
47×	`*-un-lft-identity_binary64_3784`
33×	`log-prod_binary64_3867`
25×	`difference-of-squares_binary64_3753`
16×	`times-frac_binary64_3790`
12×	`distribute-lft-out--_binary64_3738`
11×	`associate--r+_binary64_3722` `pow1_binary64_3842` `add-cube-cbrt_binary64_3816` `associate--l+_binary64_3723`
10×	`associate-l_binary64_3727`
7×	`add-exp-log_binary64_3819`
6×	`add-log-exp_binary64_3820` `log-div_binary64_3868` `add-cbrt-cube_binary64_3817`
5×	`log-pow_binary64_3870` `flip3--_binary64_3788` `flip--_binary64_3759`
4×	`div-inv_binary64_3781`
3×	`distribute-lft-neg-in_binary64_3743` `associate-r_binary64_3726` `distribute-rgt-neg-in_binary64_3744`
2×	`associate--r-_binary64_3725` `associate--l-_binary64_3724` `associate-*r/_binary64_3728` `diff-log_binary64_3873` `sub-neg_binary64_3777`
1×	`flip-+_binary64_3758` `unswap-sqr_binary64_3752` `flip3-+_binary64_3787` `prod-exp_binary64_3830` `*-commutative_binary64_3717` `distribute-lft-neg-out_binary64_3745` `pow-prod-down_binary64_3852` `neg-mul-1_binary64_3780` `distribute-lft-in_binary64_3735` `distribute-rgt-in_binary64_3736` `rem-log-exp_binary64_3822` `cbrt-unprod_binary64_3814`

Counts

4 → 113

Calls

4 calls:

28.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
13.0ms	(.f64 (neg.f64 c_p) (+.f64 (.f64 t 1/2) (.f64 s (+.f64 -1/2 (.f64 s 1/8)))))
12.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
12.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))

series581.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

249.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
173.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
106.0ms	(.f64 (neg.f64 c_p) (+.f64 (.f64 t 1/2) (.f64 s (+.f64 -1/2 (.f64 s 1/8)))))
53.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))

simplify53.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5341	3651

prune317.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	125	5	130

Merged error: 0.0b

Counts

130 → 5

Compiler

Compiled 6003 to 4251 computations (29.2% saved)

regimes303.0ms (0.3%)

Compiler: Compiled 4388 to 3710 computations (15.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	151	42
1	151	42

end0.0ms (0%)

sample1.4min (81.1%)

Algorithm

1×

intervals

Results

1.1min	5478×	body	8192	exit
7.8s	4220×	body	1024	overflowed
5.2s	24565×	body	128	overflowed
2.2s	2241×	body	512	overflowed
986.0ms	40390×	pre	128	true
551.0ms	1130×	body	256	overflowed
351.0ms	2699×	body	128	valid
162.0ms	6×	body	8192	valid
29.0ms	16×	body	1024	valid
28.0ms	5×	body	4096	valid
14.0ms	6×	body	2048	valid
12.0ms	13×	body	512	valid
4.0ms	1×	body	4096	overflowed
3.0ms	1×	body	2048	invalid
2.0ms	6×	body	256	valid
1.0ms	3×	body	128	invalid

Compiler

Compiled 50 to 44 computations (12% saved)

Details

analyze4.4s (4.3%)

sample8.4s (8.2%)

simplify215.0ms (0.2%)

prune4.0ms (0%)

localize21.0ms (0%)

rewrite185.0ms (0.2%)

series2.0s (2%)

simplify220.0ms (0.2%)

prune1.5s (1.4%)

localize6.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0%)

prune9.0ms (0%)

localize30.0ms (0%)

rewrite65.0ms (0.1%)

series555.0ms (0.5%)

simplify101.0ms (0.1%)

prune310.0ms (0.3%)

localize30.0ms (0%)

rewrite81.0ms (0.1%)

series581.0ms (0.6%)

simplify53.0ms (0.1%)

prune317.0ms (0.3%)

regimes303.0ms (0.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.4min (81.1%)

end0.0ms (0%)

Profiling