Details

analyze4.6s

Algorithm

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

sample4.9s

Algorithm

intervals

Results

2.9s	427×	body	5120	exit
737.0ms	272×	body	1280	overflowed
439.0ms	2060×	body	80	overflowed
368.0ms	257×	body	640	overflowed
109.0ms	127×	body	320	overflowed
80.0ms	3455×	pre	80	true
40.0ms	2×	body	5120	valid
32.0ms	252×	body	80	valid
26.0ms	56×	body	160	overflowed
2.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5037	68

prune3.0ms

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: 2.7b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.5b	(/.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)))
0.7b	(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)

rewrite121.0ms

Algorithm

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:

11.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
50.0ms	(/.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)))
8.0ms	(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)

series926.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
772.0ms	(/.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)))
58.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
60.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)

simplify237.0ms

Algorithm

egg-herbie

Counts

483 → 483

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5535	27348

prune197.0ms

Filtered

70 candidates to 483 candidates (-590.0%)

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: 0b

Counts

484 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

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:

9.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify66.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5008	319

prune16.0ms

Filtered

15 candidates to 27 candidates (-80.0%)

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: 0b

Counts

30 → 3

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/48 (pow.f64 t 3))
0.5b	(/.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 (+.f64 1/2 (.f64 1/48 (pow.f64 t 3))) (.f64 t 1/4)) c_n)))
0.7b	(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)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

1197×	`add-exp-log_binary64`
693×	`pow-exp_binary64`
687×	`prod-exp_binary64`
593×	`div-exp_binary64`
345×	`pow-to-exp_binary64`
116×	`1-exp_binary64` `rec-exp_binary64`
40×	`unpow-prod-down_binary64`
38×	`*-un-lft-identity_binary64`
33×	`add-sqr-sqrt_binary64`
26×	`add-cube-cbrt_binary64`
25×	`times-frac_binary64`
18×	`add-cbrt-cube_binary64`
12×	`associate-r_binary64`
8×	`pow1_binary64`
6×	`pow-unpow_binary64` `distribute-lft-out_binary64` `pow-pow_binary64`
5×	`cbrt-unprod_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `cube-prod_binary64`
3×	`associate-l_binary64` `div-inv_binary64`
2×	`flip3-+_binary64` `inv-pow_binary64` `pow-flip_binary64` `flip-+_binary64`
1×	`associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `unpow3_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

4 → 483

Calls

4 calls:

11.0ms	(*.f64 1/48 (pow.f64 t 3))
41.0ms	(/.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 (+.f64 1/2 (.f64 1/48 (pow.f64 t 3))) (.f64 t 1/4)) c_n)))
8.0ms	(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)

series964.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(*.f64 1/48 (pow.f64 t 3))
801.0ms	(/.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 (+.f64 1/2 (.f64 1/48 (pow.f64 t 3))) (.f64 t 1/4)) c_n)))
63.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
70.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)

simplify245.0ms

Algorithm

egg-herbie

Counts

495 → 495

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5499	27911

prune217.0ms

Filtered

78 candidates to 495 candidates (-534.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	495	0	495
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	495	3	498

Merged error: 0b

Counts

498 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.2b	(.f64 c_p (+.f64 (log.f64 1/2) (.f64 t 1/2)))
0.3b	(/.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 (+.f64 1 (.f64 c_p (+.f64 (log.f64 1/2) (.f64 t 1/2)))) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
0.7b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

249×	`add-exp-log_binary64`
130×	`prod-exp_binary64`
102×	`div-exp_binary64`
95×	`pow-exp_binary64`
56×	`pow-to-exp_binary64`
29×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
18×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
17×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
13×	`1-exp_binary64` `rec-exp_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `difference-of-squares_binary64`
5×	`cbrt-unprod_binary64`
4×	`cbrt-undiv_binary64` `associate-/r/_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `pow-pow_binary64` `associate-l_binary64` `div-inv_binary64` `flip-+_binary64`
2×	`associate-r/_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `sqr-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `associate-/l_binary64` `flip--_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

4 → 173

Calls

4 calls:

11.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
6.0ms	(.f64 c_p (+.f64 (log.f64 1/2) (.f64 t 1/2)))
43.0ms	(/.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 (+.f64 1 (.f64 c_p (+.f64 (log.f64 1/2) (.f64 t 1/2)))) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
8.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)

series1.0s

Counts

4 → 12

Calls

4 calls:

33.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
55.0ms	(.f64 c_p (+.f64 (log.f64 1/2) (.f64 t 1/2)))
855.0ms	(/.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 (+.f64 1 (.f64 c_p (+.f64 (log.f64 1/2) (.f64 t 1/2)))) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
68.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)

simplify120.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4996	8702
1	4996	8702

prune183.0ms

Filtered

70 candidates to 185 candidates (-164.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	185	3	188

Merged error: 0b

Counts

188 → 3

regimes128.0ms

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

end0.0ms

sample11.4s

Algorithm

intervals

Results

7.1s	1097×	body	5120	exit
1.7s	668×	body	1280	overflowed
984.0ms	5016×	body	80	overflowed
800.0ms	604×	body	640	overflowed
244.0ms	306×	body	320	overflowed
183.0ms	8483×	pre	80	true
76.0ms	625×	body	80	valid
62.0ms	144×	body	160	overflowed
42.0ms	3×	body	5120	valid
11.0ms	6×	body	1280	valid
6.0ms	2×	body	2560	valid
4.0ms	11×	body	160	valid
1.0ms	1×	body	320	valid

Details

analyze4.6s

sample4.9s

simplify92.0ms

prune3.0ms

localize20.0ms

rewrite121.0ms

series926.0ms

simplify237.0ms

prune197.0ms

localize7.0ms

rewrite9.0ms

series42.0ms

simplify66.0ms

prune16.0ms

localize29.0ms

rewrite108.0ms

series964.0ms

simplify245.0ms

prune217.0ms

localize26.0ms

rewrite77.0ms

series1.0s

simplify120.0ms

prune183.0ms

regimes128.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample11.4s

Profiling