Details

analyze4.3s (4.2%)

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)

sample8.3s (8.1%)

Algorithm

1×

intervals

Results

6.5s	535×	body	8192	exit
823.0ms	423×	body	1024	overflowed
495.0ms	2275×	body	128	overflowed
215.0ms	210×	body	512	overflowed
101.0ms	3808×	pre	128	true
52.0ms	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)

simplify218.0ms (0.2%)

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: 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)))

rewrite392.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

1192×	`add-exp-log_binary64_3213`
692×	`pow-exp_binary64_3243`
684×	`prod-exp_binary64_3224`
593×	`div-exp_binary64_3226`
344×	`pow-to-exp_binary64_3244`
116×	`1-exp_binary64_3219` `rec-exp_binary64_3225`
56×	`*-un-lft-identity_binary64_3175`
41×	`times-frac_binary64_3181` `add-sqr-sqrt_binary64_3197`
36×	`unpow-prod-down_binary64_3254`
30×	`add-cube-cbrt_binary64_3210`
18×	`cancel-sign-sub-inv_binary64_3141`
16×	`add-cbrt-cube_binary64_3211`
9×	`distribute-lft-out_binary64_3126`
8×	`pow1_binary64_3236`
6×	`pow-unpow_binary64_3252` `pow-pow_binary64_3247` `difference-of-squares_binary64_3144` `associate-/r/_binary64_3121` `add-log-exp_binary64_3214`
5×	`div-inv_binary64_3172`
4×	`cbrt-unprod_binary64_3208` `cbrt-undiv_binary64_3209`
3×	`flip-+_binary64_3149` `flip3-+_binary64_3178`
2×	`sqr-pow_binary64_3147` `distribute-lft-out--_binary64_3127` `pow-flip_binary64_3249` `inv-pow_binary64_3260`
1×	`flip--_binary64_3150` `flip3--_binary64_3179` `diff-log_binary64_3267` `clear-num_binary64_3174` `associate-/l_binary64_3120` `frac-2neg_binary64_3186` `sub-neg_binary64_3168` `associate-/r_binary64_3119`

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

series1.8s (1.7%)

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)))
106.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
100.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
56.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))

simplify247.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

501 → 501

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4982	27612
1	4982	27612

prune1.7s (1.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	495	6	501
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	496	6	502

Merged error: 0.4b

Counts

502 → 6

Compiler

Compiled 23660 to 15393 computations (34.9% saved)

localize6.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune11.0ms (0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	0	0
Total	6	6

Merged error: 0.4b

Counts

6 → 6

Compiler

Compiled 239 to 196 computations (18% saved)

localize27.0ms (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)))))))

rewrite71.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`*-un-lft-identity_binary64_3175`
38×	`log-prod_binary64_3261` `add-sqr-sqrt_binary64_3197`
16×	`pow1_binary64_3236`
15×	`associate--l+_binary64_3112` `associate--r+_binary64_3111`
14×	`difference-of-squares_binary64_3144`
12×	`log-div_binary64_3262` `log-pow_binary64_3264` `add-cube-cbrt_binary64_3210` `distribute-lft-out--_binary64_3127`
8×	`times-frac_binary64_3181` `cancel-sign-sub-inv_binary64_3141`
6×	`add-exp-log_binary64_3213`
4×	`flip--_binary64_3150` `flip3--_binary64_3179` `distribute-lft-out_binary64_3126` `flip-+_binary64_3149` `associate--l-_binary64_3113` `add-cbrt-cube_binary64_3211` `flip3-+_binary64_3178` `associate--r-_binary64_3114` `add-log-exp_binary64_3214`
2×	`diff-log_binary64_3267` `div-inv_binary64_3172` `sub-neg_binary64_3168` `rem-log-exp_binary64_3216`

Counts

4 → 108

Calls

4 calls:

30.0ms	(-.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 (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 s))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

series568.0ms (0.6%)

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)))))))
130.0ms	(-.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))))
88.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

simplify79.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5052	3205

prune384.0ms (0.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	3	1	4
Picked	1	0	1
Done	1	0	1
Total	122	4	126

Merged error: 0.0b

Counts

126 → 4

Compiler

Compiled 7567 to 5269 computations (30.4% saved)

localize28.0ms (0%)

Local error

Found 4 expressions with local error:

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

rewrite89.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

68×	`add-sqr-sqrt_binary64_3197`
62×	`*-un-lft-identity_binary64_3175`
33×	`log-prod_binary64_3261`
28×	`times-frac_binary64_3181`
25×	`difference-of-squares_binary64_3144`
22×	`cancel-sign-sub-inv_binary64_3141`
20×	`add-cube-cbrt_binary64_3210`
12×	`distribute-lft-out--_binary64_3127` `pow1_binary64_3236`
11×	`associate--l+_binary64_3112` `associate--r+_binary64_3111`
10×	`associate-l_binary64_3116`
7×	`add-exp-log_binary64_3213`
6×	`log-div_binary64_3262` `add-cbrt-cube_binary64_3211` `log-pow_binary64_3264` `add-log-exp_binary64_3214`
5×	`flip--_binary64_3150` `flip3--_binary64_3179` `div-inv_binary64_3172`
3×	`distribute-rgt-neg-in_binary64_3133` `distribute-lft-out_binary64_3126` `distribute-lft-neg-in_binary64_3132` `associate-r_binary64_3115`
2×	`associate-*r/_binary64_3117` `diff-log_binary64_3267` `flip-+_binary64_3149` `associate--l-_binary64_3113` `sub-neg_binary64_3168` `flip3-+_binary64_3178` `associate--r-_binary64_3114` `associate-/r/_binary64_3121`
1×	`prod-exp_binary64_3224` `*-commutative_binary64_3106` `pow-prod-down_binary64_3246` `neg-mul-1_binary64_3171` `cbrt-unprod_binary64_3208` `distribute-lft-in_binary64_3124` `unswap-sqr_binary64_3143` `distribute-lft-neg-out_binary64_3134` `rem-log-exp_binary64_3216` `distribute-rgt-in_binary64_3125`

Counts

4 → 135

Calls

4 calls:

31.0ms	(-.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)))))))
16.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
14.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
8.0ms	(.f64 (neg.f64 c_p) (+.f64 (.f64 t 1/2) (.f64 s (+.f64 (.f64 s 1/8) -1/2))))

series592.0ms (0.6%)

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)))))))
169.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
118.0ms	(.f64 (neg.f64 c_p) (+.f64 (.f64 t 1/2) (.f64 s (+.f64 (.f64 s 1/8) -1/2))))
53.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))

simplify78.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4939	4018
1	4939	4018

prune401.0ms (0.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	147	4	151

Merged error: 0.0b

Counts

151 → 4

Compiler

Compiled 7568 to 5445 computations (28.1% saved)

regimes238.0ms (0.2%)

Compiler: Compiled 2846 to 2492 computations (12.4% 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%)

sample1.4min (80.9%)

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
970.0ms	40390×	pre	128	true
551.0ms	1130×	body	256	overflowed
347.0ms	2699×	body	128	valid
161.0ms	6×	body	8192	valid
29.0ms	16×	body	1024	valid
29.0ms	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

analyze4.3s (4.2%)

sample8.3s (8.1%)

simplify218.0ms (0.2%)

prune4.0ms (0%)

localize21.0ms (0%)

rewrite392.0ms (0.4%)

series1.8s (1.7%)

simplify247.0ms (0.2%)

prune1.7s (1.7%)

localize6.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0%)

prune11.0ms (0%)

localize27.0ms (0%)

rewrite71.0ms (0.1%)

series568.0ms (0.6%)

simplify79.0ms (0.1%)

prune384.0ms (0.4%)

localize28.0ms (0%)

rewrite89.0ms (0.1%)

series592.0ms (0.6%)

simplify78.0ms (0.1%)

prune401.0ms (0.4%)

regimes238.0ms (0.2%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.4min (80.9%)

end0.0ms (0%)

Profiling