Details

analyze4.7s (4.4%)

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)

sample5.7s (5.5%)

Algorithm

1×

intervals

Results

3.8s	505×	body	5120	exit
769.0ms	294×	body	1280	overflowed
472.0ms	2256×	body	80	overflowed
329.0ms	228×	body	640	overflowed
92.0ms	112×	body	320	overflowed
91.0ms	3720×	pre	80	true
33.0ms	252×	body	80	valid
32.0ms	69×	body	160	overflowed
10.0ms	1×	body	5120	valid
2.0ms	2×	body	640	valid
2.0ms	1×	body	1280	valid

Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify90.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5037	68

prune7.0ms (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: 5.0b

Counts

2 → 1

Compiler

Compiled 86 to 70 computations (18.6% saved)

localize24.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
0.5b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
1.0b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
2.9b	(/.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)))

rewrite121.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

1192×	`add-exp-log_binary64`
692×	`pow-exp_binary64`
684×	`prod-exp_binary64`
593×	`div-exp_binary64`
344×	`pow-to-exp_binary64`
116×	`1-exp_binary64` `rec-exp_binary64`
42×	`*-un-lft-identity_binary64`
36×	`unpow-prod-down_binary64`
33×	`add-sqr-sqrt_binary64`
29×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
16×	`add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`pow-unpow_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `pow-pow_binary64` `difference-of-squares_binary64`
4×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-inv_binary64`
2×	`flip3-+_binary64` `sqr-pow_binary64` `inv-pow_binary64` `distribute-lft-out--_binary64` `pow-flip_binary64` `flip-+_binary64`
1×	`associate-/r_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `flip--_binary64`

Counts

4 → 471

Calls

4 calls:

47.0ms	(/.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)))
14.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
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)

series277.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

240.0ms	(/.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)))
15.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
14.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
8.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))

simplify243.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

483 → 483

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5035	27348

prune1.4s (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	480	3	483
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	481	3	484

Merged error: 0.4b

Counts

484 → 3

Compiler

Compiled 20916 to 13295 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))

rewrite9.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

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

series10.0ms (0%)

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify66.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5008	319

prune24.0ms (0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Merged error: 0.4b

Counts

30 → 3

Compiler

Compiled 438 to 284 computations (35.2% saved)

localize28.0ms (0%)

Local error

Found 4 expressions with local error:

0.8b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.0b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
10.4b	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
10.4b	(-.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)))))))

rewrite51.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64`
38×	`log-prod_binary64`
36×	`add-sqr-sqrt_binary64`
15×	`associate--r+_binary64` `associate--l+_binary64`
14×	`pow1_binary64` `difference-of-squares_binary64`
12×	`distribute-lft-out--_binary64` `log-div_binary64`
10×	`add-cube-cbrt_binary64` `log-pow_binary64`
8×	`times-frac_binary64`
6×	`add-exp-log_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `flip3--_binary64` `associate--l-_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `add-cbrt-cube_binary64` `flip--_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `rem-log-exp_binary64` `div-inv_binary64`

Counts

4 → 100

Calls

4 calls:

25.0ms	(-.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 (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 s))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

series61.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(-.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)))))
10.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
10.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

simplify97.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4912	3125
1	4912	3125

prune208.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	1	0	1
Picked	1	0	1
Done	1	0	1
Total	113	2	115

Merged error: 0b

Counts

115 → 2

Compiler

Compiled 5635 to 3713 computations (34.1% saved)

localize29.0ms (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))))
0.1b	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
0.1b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
10.4b	(-.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

59×	`add-sqr-sqrt_binary64`
47×	`*-un-lft-identity_binary64`
33×	`log-prod_binary64`
25×	`difference-of-squares_binary64`
16×	`times-frac_binary64`
12×	`distribute-lft-out--_binary64`
11×	`pow1_binary64` `associate--r+_binary64` `add-cube-cbrt_binary64` `associate--l+_binary64`
10×	`associate-l_binary64`
7×	`add-exp-log_binary64`
6×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `log-div_binary64`
5×	`flip3--_binary64` `log-pow_binary64` `flip--_binary64`
4×	`div-inv_binary64`
3×	`associate-r_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
2×	`sub-neg_binary64` `associate--l-_binary64` `diff-log_binary64` `associate--r-_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `rem-log-exp_binary64` `distribute-lft-neg-out_binary64` `neg-mul-1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

4 → 113

Calls

4 calls:

27.0ms	(-.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	(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)))))
8.0ms	(.f64 (neg.f64 c_p) (+.f64 (.f64 t 1/2) (.f64 s (+.f64 (.f64 s 1/8) -1/2))))

series71.0ms (0.1%)

Counts

4 → 12

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)))))))
21.0ms	(.f64 (neg.f64 c_p) (+.f64 (.f64 t 1/2) (.f64 s (+.f64 (.f64 s 1/8) -1/2))))
16.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
6.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))

simplify71.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5340	3686

prune237.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	125	2	127

Merged error: 0b

Counts

127 → 2

Compiler

Compiled 6022 to 4249 computations (29.4% saved)

regimes140.0ms (0.1%)

Compiler: Compiled 280 to 272 computations (2.9% saved)

bsearch0.0ms (0%)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	135	42
1	135	42

end0.0ms (0%)

sample1.5min (86.9%)

Algorithm

1×

intervals

Results

1.0min	8810×	body	5120	exit
11.7s	4640×	body	1280	overflowed
7.5s	38165×	body	80	overflowed
5.7s	4234×	body	640	overflowed
1.6s	2086×	body	320	overflowed
1.4s	63342×	pre	80	true
525.0ms	4220×	body	80	valid
444.0ms	1035×	body	160	overflowed
73.0ms	7×	body	5120	valid
61.0ms	26×	body	1280	valid
39.0ms	34×	body	640	valid
28.0ms	7×	body	2560	valid
20.0ms	58×	body	160	valid
8.0ms	13×	body	320	valid
2.0ms	1×	body	1280	invalid
1.0ms	5×	body	80	invalid
0.0ms	1×	body	160	invalid

Compiler

Compiled 50 to 44 computations (12% saved)

Details

analyze4.7s (4.4%)

sample5.7s (5.5%)

simplify90.0ms (0.1%)

prune7.0ms (0%)

localize24.0ms (0%)

rewrite121.0ms (0.1%)

series277.0ms (0.3%)

simplify243.0ms (0.2%)

prune1.4s (1.3%)

localize6.0ms (0%)

rewrite9.0ms (0%)

series10.0ms (0%)

simplify66.0ms (0.1%)

prune24.0ms (0%)

localize28.0ms (0%)

rewrite51.0ms (0%)

series61.0ms (0.1%)

simplify97.0ms (0.1%)

prune208.0ms (0.2%)

localize29.0ms (0%)

rewrite65.0ms (0.1%)

series71.0ms (0.1%)

simplify71.0ms (0.1%)

prune237.0ms (0.2%)

regimes140.0ms (0.1%)

bsearch0.0ms (0%)

simplify8.0ms (0%)

end0.0ms (0%)

sample1.5min (86.9%)

Profiling