Details

analyze4.5s (13.6%)

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)

sample8.3s (25.3%)

Algorithm

1×

intervals

Results

6.5s	536×	body	8192	exit
744.0ms	393×	body	1024	overflowed
503.0ms	2287×	body	128	overflowed
207.0ms	198×	body	512	overflowed
96.0ms	3770×	pre	128	true
50.0ms	100×	body	256	overflowed
34.0ms	251×	body	128	valid
13.0ms	1×	body	8192	valid
6.0ms	2×	body	2048	valid
5.0ms	1×	body	4096	valid
2.0ms	1×	body	1024	valid

Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify205.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

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: 6.0b

Counts

2 → 1

Compiler

Compiled 86 to 70 computations (18.6% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.5b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
0.7b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
3.7b	(/.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)))

rewrite186.0ms (0.6%)

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:

52.0ms	(/.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)))
13.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
12.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
8.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)

series1.8s (5.4%)

Counts

4 → 12

Calls

4 calls:

1.5s	(/.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)))
109.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
101.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
55.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify214.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

483 → 483

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5390	27317

prune1.4s (4.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	479	4	483
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	480	4	484

Merged error: 0.6b

Counts

484 → 4

Compiler

Compiled 20945 to 13332 computations (36.3% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 s 1/2) (-.f64 c_p c_n))

rewrite9.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_3819` `pow1_binary64_3842` `add-cbrt-cube_binary64_3817`
5×	`associate-r_binary64_3726`
4×	`add-sqr-sqrt_binary64_3805` `*-un-lft-identity_binary64_3784`
3×	`prod-exp_binary64_3830` `pow-prod-down_binary64_3852` `cbrt-unprod_binary64_3814`
2×	`associate-*r/_binary64_3728` `add-cube-cbrt_binary64_3816` `sub-neg_binary64_3777`
1×	`distribute-lft-out--_binary64_3738` `associate-l_binary64_3727` `*-commutative_binary64_3717` `flip3--_binary64_3788` `add-log-exp_binary64_3820` `difference-of-squares_binary64_3753` `distribute-lft-in_binary64_3735` `distribute-rgt-in_binary64_3736` `flip--_binary64_3759`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 (*.f64 s 1/2) (-.f64 c_p c_n))

series85.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

85.0ms

(*.f64 (*.f64 s 1/2) (-.f64 c_p c_n))

simplify60.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4910	319
1	4910	319

prune23.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0.6b

Counts

31 → 4

Compiler

Compiled 483 to 322 computations (33.3% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
0.8b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
10.1b	(-.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)))))))
10.1b	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

rewrite63.0ms (0.2%)

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)))))
5.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

series565.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

252.0ms	(-.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)))))))
133.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
94.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
85.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

simplify99.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4885	3125
1	4885	3125

prune278.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	110	6	116

Merged error: 0.3b

Counts

116 → 6

Compiler

Compiled 5803 to 3849 computations (33.7% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (neg.f64 c_p) (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))))
0.5b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
0.8b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
10.1b	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

rewrite49.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_3784`
24×	`log-prod_binary64_3867`
20×	`add-sqr-sqrt_binary64_3805`
16×	`pow1_binary64_3842`
14×	`add-cube-cbrt_binary64_3816`
12×	`log-div_binary64_3868` `associate--l+_binary64_3723`
10×	`associate-l_binary64_3727` `log-pow_binary64_3870`
8×	`add-exp-log_binary64_3819` `distribute-lft-out--_binary64_3738` `associate-r_binary64_3726`
7×	`distribute-lft-in_binary64_3735` `distribute-rgt-in_binary64_3736`
6×	`flip-+_binary64_3758` `flip3-+_binary64_3787` `distribute-lft-out_binary64_3737` `associate--r-_binary64_3725` `add-cbrt-cube_binary64_3817`
4×	`add-log-exp_binary64_3820` `associate--r+_binary64_3722`
3×	`distribute-lft-neg-in_binary64_3743` `distribute-rgt-neg-in_binary64_3744` `sub-neg_binary64_3777`
2×	`flip3--_binary64_3788` `difference-of-squares_binary64_3753` `associate--l-_binary64_3724` `associate-*r/_binary64_3728` `flip--_binary64_3759` `rem-log-exp_binary64_3822`
1×	`unswap-sqr_binary64_3752` `prod-exp_binary64_3830` `*-commutative_binary64_3717` `distribute-lft-neg-out_binary64_3745` `pow-prod-down_binary64_3852` `neg-mul-1_binary64_3780` `diff-log_binary64_3873` `cbrt-unprod_binary64_3814`

Counts

4 → 105

Calls

4 calls:

16.0ms	(*.f64 (neg.f64 c_p) (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.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))))

series506.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

229.0ms	(*.f64 (neg.f64 c_p) (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))))
122.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
82.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
73.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

simplify85.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5058	2839

prune214.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	118	5	123

Merged error: 0.3b

Counts

123 → 5

Compiler

Compiled 4429 to 2792 computations (37% saved)

regimes233.0ms (0.7%)

Compiler: Compiled 2781 to 2441 computations (12.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	85	42
1	85	42

end0.0ms (0%)

sample14.0s (42.4%)

Algorithm

1×

intervals

Results

11.0s	926×	body	8192	exit
1.2s	678×	body	1024	overflowed
835.0ms	3988×	body	128	overflowed
347.0ms	342×	body	512	overflowed
160.0ms	6566×	pre	128	true
88.0ms	180×	body	256	overflowed
57.0ms	445×	body	128	valid
13.0ms	1×	body	8192	valid
7.0ms	3×	body	2048	valid
5.0ms	1×	body	4096	valid
4.0ms	2×	body	1024	valid

Compiler

Compiled 50 to 44 computations (12% saved)

Details

analyze4.5s (13.6%)

sample8.3s (25.3%)

simplify205.0ms (0.6%)

prune4.0ms (0%)

localize24.0ms (0.1%)

rewrite186.0ms (0.6%)

series1.8s (5.4%)

simplify214.0ms (0.6%)

prune1.4s (4.4%)

localize6.0ms (0%)

rewrite9.0ms (0%)

series85.0ms (0.3%)

simplify60.0ms (0.2%)

prune23.0ms (0.1%)

localize29.0ms (0.1%)

rewrite63.0ms (0.2%)

series565.0ms (1.7%)

simplify99.0ms (0.3%)

prune278.0ms (0.8%)

localize23.0ms (0.1%)

rewrite49.0ms (0.1%)

series506.0ms (1.5%)

simplify85.0ms (0.3%)

prune214.0ms (0.7%)

regimes233.0ms (0.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample14.0s (42.4%)

end0.0ms (0%)

Profiling