Details

analyze4.3s (7%)

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)

sample7.5s (12.3%)

Algorithm

1×

intervals

Results

5.8s	471×	body	8192	exit
667.0ms	346×	body	1024	overflowed
496.0ms	2232×	body	128	overflowed
203.0ms	191×	body	512	overflowed
96.0ms	3609×	pre	128	true
56.0ms	113×	body	256	overflowed
35.0ms	251×	body	128	valid
15.0ms	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)

simplify216.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5010	68

prune5.0ms (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)

localize22.0ms (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)))

rewrite193.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

1192×	`add-exp-log_binary64_3195`
692×	`pow-exp_binary64_3225`
684×	`prod-exp_binary64_3206`
593×	`div-exp_binary64_3208`
344×	`pow-to-exp_binary64_3226`
116×	`1-exp_binary64_3201` `rec-exp_binary64_3207`
56×	`*-un-lft-identity_binary64_3157`
41×	`times-frac_binary64_3163` `add-sqr-sqrt_binary64_3179`
36×	`unpow-prod-down_binary64_3236`
30×	`add-cube-cbrt_binary64_3192`
18×	`cancel-sign-sub-inv_binary64_3123`
16×	`add-cbrt-cube_binary64_3193`
9×	`distribute-lft-out_binary64_3108`
8×	`pow1_binary64_3218`
6×	`difference-of-squares_binary64_3126` `pow-unpow_binary64_3234` `pow-pow_binary64_3229` `add-log-exp_binary64_3196` `associate-/r/_binary64_3103`
5×	`div-inv_binary64_3154`
4×	`cbrt-unprod_binary64_3190` `cbrt-undiv_binary64_3191`
3×	`flip-+_binary64_3131` `flip3-+_binary64_3160`
2×	`inv-pow_binary64_3242` `distribute-lft-out--_binary64_3109` `pow-flip_binary64_3231` `sqr-pow_binary64_3129`
1×	`diff-log_binary64_3249` `associate-/l_binary64_3102` `frac-2neg_binary64_3168` `associate-/r_binary64_3101` `flip--_binary64_3132` `clear-num_binary64_3156` `flip3--_binary64_3161` `sub-neg_binary64_3150`

Counts

4 → 489

Calls

4 calls:

56.0ms	(/.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)))))
8.0ms	(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 (3.3%)

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)))
113.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
101.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
61.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify249.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

501 → 501

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4982	27612
1	4982	27612

prune1.6s (2.6%)

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 21730 to 13822 computations (36.4% 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×	`*-un-lft-identity_binary64_3157` `cancel-sign-sub-inv_binary64_3123` `pow1_binary64_3218` `add-exp-log_binary64_3195` `add-sqr-sqrt_binary64_3179` `add-cbrt-cube_binary64_3193`
5×	`associate-r_binary64_3097`
4×	`add-cube-cbrt_binary64_3192` `distribute-rgt-in_binary64_3107` `distribute-lft-in_binary64_3106`
3×	`cbrt-unprod_binary64_3190` `pow-prod-down_binary64_3228` `prod-exp_binary64_3206`
2×	`sub-neg_binary64_3150` `associate-*r/_binary64_3099`
1×	`difference-of-squares_binary64_3126` `flip--_binary64_3132` `-commutative_binary64_3088` `distribute-lft-out--_binary64_3109` `associate-l*_binary64_3098` `flip3--_binary64_3161` `add-log-exp_binary64_3196`

Counts

1 → 30

Calls

1 calls:

9.0ms

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

series85.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

85.0ms

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

simplify54.0ms (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)

localize32.0ms (0.1%)

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)))))))

rewrite79.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

63×	`*-un-lft-identity_binary64_3157`
56×	`add-sqr-sqrt_binary64_3179`
34×	`log-prod_binary64_3243`
26×	`cancel-sign-sub-inv_binary64_3123`
24×	`times-frac_binary64_3163`
20×	`difference-of-squares_binary64_3126`
19×	`add-cube-cbrt_binary64_3192`
15×	`associate--r+_binary64_3093` `associate--l+_binary64_3094` `pow1_binary64_3218`
14×	`distribute-lft-out--_binary64_3109`
11×	`log-pow_binary64_3246`
10×	`log-div_binary64_3244`
6×	`distribute-lft-out_binary64_3108` `add-log-exp_binary64_3196`
5×	`flip--_binary64_3132` `add-exp-log_binary64_3195` `flip3--_binary64_3161`
4×	`flip-+_binary64_3131` `associate--l-_binary64_3095` `associate--r-_binary64_3096` `flip3-+_binary64_3160` `div-inv_binary64_3154` `add-cbrt-cube_binary64_3193`
3×	`diff-log_binary64_3249` `sub-neg_binary64_3150`
2×	`associate-/r/_binary64_3103`
1×	`rem-log-exp_binary64_3198`

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)))))
13.0ms	(-.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))))

series508.0ms (0.8%)

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)))))))
119.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
78.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
60.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify125.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4865	3654
1	4865	3654

prune333.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	1	0	1
Picked	1	0	1
Done	1	0	1
Total	143	2	145

Merged error: 0.1b

Counts

145 → 2

Compiler

Compiled 6932 to 4551 computations (34.3% saved)

localize31.0ms (0.1%)

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_3179`
67×	`*-un-lft-identity_binary64_3157`
44×	`log-prod_binary64_3243`
32×	`times-frac_binary64_3163`
31×	`difference-of-squares_binary64_3126`
22×	`cancel-sign-sub-inv_binary64_3123`
17×	`add-cube-cbrt_binary64_3192`
14×	`distribute-lft-out--_binary64_3109`
11×	`associate--r+_binary64_3093` `associate--l+_binary64_3094` `pow1_binary64_3218`
8×	`log-div_binary64_3244`
7×	`log-pow_binary64_3246`
6×	`flip--_binary64_3132` `add-exp-log_binary64_3195` `flip3--_binary64_3161` `add-log-exp_binary64_3196` `div-inv_binary64_3154`
4×	`add-cbrt-cube_binary64_3193`
3×	`distribute-lft-out_binary64_3108`
2×	`diff-log_binary64_3249` `associate--l-_binary64_3095` `rem-log-exp_binary64_3198` `associate--r-_binary64_3096` `sub-neg_binary64_3150` `associate-/r/_binary64_3103`
1×	`flip-+_binary64_3131` `flip3-+_binary64_3160`

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)))))))
14.0ms	(-.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))))))

series632.0ms (1%)

Counts

4 → 12

Calls

4 calls:

251.0ms	(-.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)))))))
165.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
161.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
54.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify108.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4942	3812
1	4942	3812

prune363.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	139	2	141

Merged error: 0.1b

Counts

141 → 2

Compiler

Compiled 6530 to 4629 computations (29.1% saved)

regimes48.0ms (0.1%)

Compiler: Compiled 288 to 288 computations (0% saved)

bsearch5.0s (8.2%)

Steps

Iters	Range		Point
8	1.4264927837938141e-112	6.584090157255264e-108	1.458086390673178e-112

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	396	114
1	396	114

end0.0ms (0%)

sample37.9s (61.5%)

Algorithm

1×

intervals

Results

29.6s	2482×	body	8192	exit
3.4s	1836×	body	1024	overflowed
2.3s	11080×	body	128	overflowed
1.0s	1017×	body	512	overflowed
428.0ms	18143×	pre	128	true
241.0ms	498×	body	256	overflowed
157.0ms	1206×	body	128	valid
14.0ms	3×	body	4096	valid
12.0ms	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

analyze4.3s (7%)

sample7.5s (12.3%)

simplify216.0ms (0.4%)

prune5.0ms (0%)

localize22.0ms (0%)

rewrite193.0ms (0.3%)

series2.0s (3.3%)

simplify249.0ms (0.4%)

prune1.6s (2.6%)

localize6.0ms (0%)

rewrite11.0ms (0%)

series85.0ms (0.1%)

simplify54.0ms (0.1%)

prune26.0ms (0%)

localize32.0ms (0.1%)

rewrite79.0ms (0.1%)

series508.0ms (0.8%)

simplify125.0ms (0.2%)

prune333.0ms (0.5%)

localize31.0ms (0.1%)

rewrite86.0ms (0.1%)

series632.0ms (1%)

simplify108.0ms (0.2%)

prune363.0ms (0.6%)

regimes48.0ms (0.1%)

bsearch5.0s (8.2%)

simplify8.0ms (0%)

end0.0ms (0%)

sample37.9s (61.5%)

end0.0ms (0%)

Profiling