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

sample4.6s

Algorithm

intervals

Results

3.0s	418×	body	5120	exit
585.0ms	219×	body	1280	overflowed
381.0ms	1861×	body	80	overflowed
308.0ms	215×	body	640	overflowed
94.0ms	115×	body	320	overflowed
75.0ms	3132×	pre	80	true
32.0ms	243×	body	80	valid
21.0ms	48×	body	160	overflowed
7.0ms	1×	body	2560	valid
6.0ms	2×	body	1280	valid
3.0ms	3×	body	640	valid
3.0ms	7×	body	160	valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5035	43

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

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(-.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)
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)))

rewrite119.0ms

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 s)))))
12.0ms	(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)
48.0ms	(/.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)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
16.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
15.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
182.0ms	(/.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)))

simplify110.0ms

Algorithm

egg-herbie

Counts

483 → 483

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5033	16646

prune130.0ms

Filtered

71 candidates to 483 candidates (-580.3%)

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: 0.8b

Counts

484 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

4.0ms	(+.f64 1 (.f64 (.f64 s 1/2) (-.f64 c_p c_n)))
8.0ms	(.f64 (.f64 s 1/2) (-.f64 c_p c_n))

series20.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+.f64 1 (.f64 (.f64 s 1/2) (-.f64 c_p c_n)))
9.0ms	(.f64 (.f64 s 1/2) (-.f64 c_p c_n))

simplify44.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5260	402

prune36.0ms

Filtered

27 candidates to 43 candidates (-59.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	41	5	46

Merged error: 0.8b

Counts

46 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`associate-r_binary64`
14×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
8×	`add-cube-cbrt_binary64`
6×	`sub-neg_binary64` `associate-*r/_binary64`
4×	`add-log-exp_binary64`
3×	`flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `cbrt-prod_binary64` `*-commutative_binary64`
2×	`cbrt-div_binary64`
1×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`

Counts

4 → 85

Calls

4 calls:

8.0ms	(cbrt.f64 (+.f64 (.f64 (.f64 s 1/2) (-.f64 c_p c_n)) 1))
9.0ms	(.f64 (.f64 s 1/2) (-.f64 c_p c_n))
8.0ms	(.f64 (.f64 s 1/2) (-.f64 c_p c_n))
8.0ms	(.f64 (.f64 s 1/2) (-.f64 c_p c_n))

series100.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(cbrt.f64 (+.f64 (.f64 (.f64 s 1/2) (-.f64 c_p c_n)) 1))
12.0ms	(.f64 (.f64 s 1/2) (-.f64 c_p c_n))
9.0ms	(.f64 (.f64 s 1/2) (-.f64 c_p c_n))
9.0ms	(.f64 (.f64 s 1/2) (-.f64 c_p c_n))

simplify50.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5277	906

prune84.0ms

Filtered

60 candidates to 97 candidates (-61.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	97	5	102

Merged error: 0.8b

Counts

102 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`associate-r_binary64`
16×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
12×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
8×	`sub-neg_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64`
4×	`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

4 → 96

Calls

4 calls:

8.0ms	(.f64 (.f64 s 1/2) (-.f64 c_p c_n))
8.0ms	(.f64 (.f64 s 1/2) (-.f64 c_p c_n))
9.0ms	(.f64 (.f64 s 1/2) (-.f64 c_p c_n))
10.0ms	(.f64 (.f64 s 1/2) (-.f64 c_p c_n))

series38.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(.f64 (.f64 s 1/2) (-.f64 c_p c_n))
9.0ms	(.f64 (.f64 s 1/2) (-.f64 c_p c_n))
9.0ms	(.f64 (.f64 s 1/2) (-.f64 c_p c_n))
9.0ms	(.f64 (.f64 s 1/2) (-.f64 c_p c_n))

simplify46.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5006	868

prune108.0ms

Filtered

60 candidates to 108 candidates (-80.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	108	5	113

Merged error: 0.8b

Counts

113 → 5

regimes565.0ms

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	57
1	30	57

end0.0ms

sample37.6s

Algorithm

intervals

Results

24.4s	3573×	body	5120	exit
5.1s	2003×	body	1280	overflowed
3.1s	15649×	body	80	overflowed
2.4s	1751×	body	640	overflowed
737.0ms	940×	body	320	overflowed
585.0ms	26187×	pre	80	true
224.0ms	1788×	body	80	valid
180.0ms	414×	body	160	overflowed
36.0ms	3×	body	5120	valid
28.0ms	12×	body	1280	valid
17.0ms	16×	body	640	valid
13.0ms	3×	body	2560	valid
11.0ms	31×	body	160	valid
2.0ms	3×	body	320	valid
0.0ms	1×	body	80	invalid

Details

analyze4.6s

sample4.6s

simplify54.0ms

prune3.0ms

localize24.0ms

rewrite119.0ms

series219.0ms

simplify110.0ms

prune130.0ms

localize6.0ms

rewrite13.0ms

series20.0ms

simplify44.0ms

prune36.0ms

localize10.0ms

rewrite35.0ms

series100.0ms

simplify50.0ms

prune84.0ms

localize15.0ms

rewrite38.0ms

series38.0ms

simplify46.0ms

prune108.0ms

regimes565.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample37.6s

Profiling