Details

analyze4.7s (8.2%)

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)

sample7.6s (13.3%)

Algorithm

1×

intervals

Results

5.8s	471×	body	8192	exit
681.0ms	346×	body	1024	overflowed
507.0ms	2232×	body	128	overflowed
215.0ms	191×	body	512	overflowed
94.0ms	3609×	pre	128	true
58.0ms	113×	body	256	overflowed
38.0ms	251×	body	128	valid
14.0ms	3×	body	4096	valid
2.0ms	1×	body	1024	valid
1.0ms	1×	body	512	valid

Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify219.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

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: 7.0b

Counts

2 → 1

Compiler

Compiled 86 to 70 computations (18.6% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
0.7b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
1.7b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) 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)))

rewrite194.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

1192×	`add-exp-log_binary64_2869`
692×	`pow-exp_binary64_2899`
684×	`prod-exp_binary64_2880`
593×	`div-exp_binary64_2882`
344×	`pow-to-exp_binary64_2900`
116×	`1-exp_binary64_2875` `rec-exp_binary64_2881`
56×	`*-un-lft-identity_binary64_2831`
41×	`add-sqr-sqrt_binary64_2853` `times-frac_binary64_2837`
36×	`unpow-prod-down_binary64_2910`
30×	`add-cube-cbrt_binary64_2866`
18×	`cancel-sign-sub-inv_binary64_2797`
16×	`add-cbrt-cube_binary64_2867`
9×	`distribute-lft-out_binary64_2782`
8×	`pow1_binary64_2892`
6×	`pow-pow_binary64_2903` `add-log-exp_binary64_2870` `pow-unpow_binary64_2908` `difference-of-squares_binary64_2800` `associate-/r/_binary64_2777`
5×	`div-inv_binary64_2828`
4×	`cbrt-unprod_binary64_2864` `cbrt-undiv_binary64_2865`
3×	`flip3-+_binary64_2834` `flip-+_binary64_2805`
2×	`inv-pow_binary64_2916` `pow-flip_binary64_2905` `sqr-pow_binary64_2803` `distribute-lft-out--_binary64_2783`
1×	`frac-2neg_binary64_2842` `flip3--_binary64_2835` `diff-log_binary64_2923` `sub-neg_binary64_2824` `flip--_binary64_2806` `clear-num_binary64_2830` `associate-/l_binary64_2776` `associate-/r_binary64_2775`

Counts

4 → 489

Calls

4 calls:

53.0ms	(/.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	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
11.0ms	(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)

series1.8s (3.2%)

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)))
107.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
107.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
59.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify248.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

501 → 501

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4982	27612
1	4982	27612

prune1.5s (2.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	498	3	501
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	499	3	502

Merged error: 0.1b

Counts

502 → 3

Compiler

Compiled 21958 to 14020 computations (36.2% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64_2892` `add-cbrt-cube_binary64_2867` `add-sqr-sqrt_binary64_2853` `cancel-sign-sub-inv_binary64_2797` `add-exp-log_binary64_2869` `*-un-lft-identity_binary64_2831`
5×	`associate-r_binary64_2771`
4×	`add-cube-cbrt_binary64_2866` `distribute-lft-in_binary64_2780` `distribute-rgt-in_binary64_2781`
3×	`pow-prod-down_binary64_2902` `cbrt-unprod_binary64_2864` `prod-exp_binary64_2880`
2×	`sub-neg_binary64_2824` `associate-*r/_binary64_2773`
1×	`add-log-exp_binary64_2870` `-commutative_binary64_2762` `flip3--_binary64_2835` `distribute-lft-out--_binary64_2783` `difference-of-squares_binary64_2800` `associate-l*_binary64_2772` `flip--_binary64_2806`

Counts

1 → 30

Calls

1 calls:

9.0ms

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

series77.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

76.0ms

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

simplify53.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4918	403
1	4918	403

prune26.0ms (0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	33	3	36

Merged error: 0.1b

Counts

36 → 3

Compiler

Compiled 516 to 338 computations (34.5% saved)

localize29.0ms (0%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
2.4b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
8.8b	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
8.8b	(-.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

63×	`*-un-lft-identity_binary64_2831`
56×	`add-sqr-sqrt_binary64_2853`
34×	`log-prod_binary64_2917`
26×	`cancel-sign-sub-inv_binary64_2797`
24×	`times-frac_binary64_2837`
20×	`difference-of-squares_binary64_2800`
19×	`add-cube-cbrt_binary64_2866`
15×	`pow1_binary64_2892` `associate--r+_binary64_2767` `associate--l+_binary64_2768`
14×	`distribute-lft-out--_binary64_2783`
11×	`log-pow_binary64_2920`
10×	`log-div_binary64_2918`
6×	`add-log-exp_binary64_2870` `distribute-lft-out_binary64_2782`
5×	`flip3--_binary64_2835` `flip--_binary64_2806` `add-exp-log_binary64_2869`
4×	`flip3-+_binary64_2834` `add-cbrt-cube_binary64_2867` `div-inv_binary64_2828` `associate--r-_binary64_2770` `flip-+_binary64_2805` `associate--l-_binary64_2769`
3×	`diff-log_binary64_2923` `sub-neg_binary64_2824`
2×	`associate-/r/_binary64_2777`
1×	`rem-log-exp_binary64_2872`

Counts

4 → 130

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 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))))

series521.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

245.0ms	(-.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)))))))
122.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
96.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
59.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify120.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4865	3654
1	4865	3654

prune379.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	142	3	145

Merged error: 0.1b

Counts

145 → 3

Compiler

Compiled 7314 to 4891 computations (33.1% saved)

localize27.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
0.5b	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
0.7b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
8.8b	(-.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)))))))

rewrite86.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`add-sqr-sqrt_binary64_2853`
67×	`*-un-lft-identity_binary64_2831`
44×	`log-prod_binary64_2917`
32×	`times-frac_binary64_2837`
31×	`difference-of-squares_binary64_2800`
22×	`cancel-sign-sub-inv_binary64_2797`
17×	`add-cube-cbrt_binary64_2866`
14×	`distribute-lft-out--_binary64_2783`
11×	`pow1_binary64_2892` `associate--r+_binary64_2767` `associate--l+_binary64_2768`
8×	`log-div_binary64_2918`
7×	`log-pow_binary64_2920`
6×	`add-log-exp_binary64_2870` `div-inv_binary64_2828` `flip3--_binary64_2835` `flip--_binary64_2806` `add-exp-log_binary64_2869`
4×	`add-cbrt-cube_binary64_2867`
3×	`distribute-lft-out_binary64_2782`
2×	`diff-log_binary64_2923` `sub-neg_binary64_2824` `associate--r-_binary64_2770` `rem-log-exp_binary64_2872` `associate-/r/_binary64_2777` `associate--l-_binary64_2769`
1×	`flip3-+_binary64_2834` `flip-+_binary64_2805`

Counts

4 → 127

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)))))))
15.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
12.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
12.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))

series655.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

256.0ms	(-.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)))))))
172.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
167.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
60.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify102.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4942	3812
1	4942	3812

prune375.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	0	1	1
Picked	0	1	1
Done	1	0	1
Total	139	3	142

Merged error: 0.1b

Counts

142 → 3

Compiler

Compiled 6755 to 4837 computations (28.4% saved)

regimes51.0ms (0.1%)

Compiler: Compiled 404 to 388 computations (4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	151	42
1	151	42

end0.0ms (0%)

sample38.2s (66.8%)

Algorithm

1×

intervals

Results

29.7s	2482×	body	8192	exit
3.5s	1836×	body	1024	overflowed
2.4s	11080×	body	128	overflowed
1.1s	1017×	body	512	overflowed
437.0ms	18143×	pre	128	true
256.0ms	498×	body	256	overflowed
160.0ms	1206×	body	128	valid
14.0ms	3×	body	4096	valid
13.0ms	8×	body	1024	valid
6.0ms	7×	body	512	valid
3.0ms	1×	body	2048	valid
2.0ms	4×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 50 to 44 computations (12% saved)

Details

analyze4.7s (8.2%)

sample7.6s (13.3%)

simplify219.0ms (0.4%)

prune4.0ms (0%)

localize21.0ms (0%)

rewrite194.0ms (0.3%)

series1.8s (3.2%)

simplify248.0ms (0.4%)

prune1.5s (2.7%)

localize6.0ms (0%)

rewrite11.0ms (0%)

series77.0ms (0.1%)

simplify53.0ms (0.1%)

prune26.0ms (0%)

localize29.0ms (0%)

rewrite81.0ms (0.1%)

series521.0ms (0.9%)

simplify120.0ms (0.2%)

prune379.0ms (0.7%)

localize27.0ms (0%)

rewrite86.0ms (0.1%)

series655.0ms (1.1%)

simplify102.0ms (0.2%)

prune375.0ms (0.7%)

regimes51.0ms (0.1%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample38.2s (66.8%)

end0.0ms (0%)

Profiling