Details

analyze4.7s

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

sample6.0s

Algorithm

intervals

Results

4.1s	529×	body	5120	exit
752.0ms	278×	body	1280	overflowed
442.0ms	2142×	body	80	overflowed
336.0ms	235×	body	640	overflowed
126.0ms	150×	body	320	overflowed
89.0ms	3651×	pre	80	true
35.0ms	249×	body	80	valid
30.0ms	61×	body	160	overflowed
3.0ms	2×	body	640	valid
1.0ms	4×	body	160	valid
1.0ms	1×	body	1280	valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

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: 5.0b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
1.0b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
1.2b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
1.9b	(/.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)))

rewrite126.0ms

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)))))
8.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
10.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
49.0ms	(/.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)))

series986.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
60.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
63.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
833.0ms	(/.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)))

simplify236.0ms

Algorithm

egg-herbie

Counts

483 → 483

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5535	27348

prune178.0ms

Filtered

71 candidates to 483 candidates (-580.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	479	4	483
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	480	4	484

Merged error: 0.1b

Counts

484 → 4

localize8.0ms

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:

8.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify65.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5008	319

prune18.0ms

Filtered

15 candidates to 27 candidates (-80.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0.1b

Counts

31 → 4

localize31.0ms

Local error

Found 4 expressions with local error:

1.0b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.5b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
11.1b	(-.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)))))))
11.1b	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

rewrite50.0ms

Algorithm

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:

4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
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)))))))
11.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

series306.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
57.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
125.0ms	(-.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)))))))
75.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify97.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5377	3125

prune214.0ms

Filtered

79 candidates to 112 candidates (-41.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	114	2	116

Merged error: 0b

Counts

116 → 2

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
0.3b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.3b	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
11.1b	(-.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)))))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt_binary64`
52×	`*-un-lft-identity_binary64`
44×	`log-prod_binary64`
31×	`difference-of-squares_binary64`
20×	`times-frac_binary64`
14×	`distribute-lft-out--_binary64`
11×	`associate--r+_binary64` `associate--l+_binary64`
10×	`pow1_binary64`
8×	`add-cube-cbrt_binary64` `log-div_binary64`
6×	`add-log-exp_binary64` `flip3--_binary64` `log-pow_binary64` `add-exp-log_binary64` `flip--_binary64`
5×	`div-inv_binary64`
4×	`add-cbrt-cube_binary64`
2×	`sub-neg_binary64` `associate--l-_binary64` `diff-log_binary64` `associate--r-_binary64` `rem-log-exp_binary64`

Counts

4 → 105

Calls

4 calls:

12.0ms	(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)))))
11.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
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)))))))

series335.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
32.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
84.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
128.0ms	(-.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)))))))

simplify132.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4866	3544
1	4866	3544

prune181.0ms

Filtered

74 candidates to 117 candidates (-58.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	117	2	119

Merged error: 0b

Counts

119 → 2

regimes35.0ms

bsearch0.0ms

simplify7.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	225	60
1	225	60

end0.0ms

sample46.7s

Algorithm

intervals

Results

30.6s	4501×	body	5120	exit
5.9s	2337×	body	1280	overflowed
3.9s	19534×	body	80	overflowed
3.0s	2238×	body	640	overflowed
887.0ms	1126×	body	320	overflowed
740.0ms	32579×	pre	80	true
272.0ms	2199×	body	80	valid
244.0ms	567×	body	160	overflowed
36.0ms	17×	body	1280	valid
31.0ms	4×	body	5120	valid
15.0ms	12×	body	640	valid
11.0ms	32×	body	160	valid
9.0ms	3×	body	2560	valid
5.0ms	9×	body	320	valid

Details

analyze4.7s

sample6.0s

simplify93.0ms

prune3.0ms

localize21.0ms

rewrite126.0ms

series986.0ms

simplify236.0ms

prune178.0ms

localize8.0ms

rewrite9.0ms

series41.0ms

simplify65.0ms

prune18.0ms

localize31.0ms

rewrite50.0ms

series306.0ms

simplify97.0ms

prune214.0ms

localize28.0ms

rewrite68.0ms

series335.0ms

simplify132.0ms

prune181.0ms

regimes35.0ms

bsearch0.0ms

simplify7.0ms

end0.0ms

sample46.7s

Profiling