Details

analyze74.0ms (2.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample26.0ms (1%)

Algorithm

1×

intervals

Results

12.0ms	237×	body	128	valid
3.0ms	7×	body	1024	valid
2.0ms	8×	body	512	valid
1.0ms	4×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 19 to 19 computations (0% saved)

simplify165.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	96	14
1	96	14

prune3.0ms (0.1%)

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: 0.5b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize12.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0b	(+.f64 1 (exp.f64 x))
0.5b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite18.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_3110`
8×	`log-prod_binary64_3193`
6×	`add-log-exp_binary64_3146`
5×	`add-cube-cbrt_binary64_3142` `add-sqr-sqrt_binary64_3131`
4×	`add-exp-log_binary64_3145` `pow1_binary64_3168` `associate--l+_binary64_3049` `log-div_binary64_3194`
3×	`distribute-lft-out_binary64_3063` `flip3-+_binary64_3113` `add-cbrt-cube_binary64_3143` `flip-+_binary64_3084`
2×	`associate--l-_binary64_3050`
1×	`sub-neg_binary64_3103` `+-commutative_binary64_3042` `sum-log_binary64_3198` `log-pow_binary64_3196` `diff-log_binary64_3199` `flip3--_binary64_3114` `rem-log-exp_binary64_3148` `flip--_binary64_3085`

Counts

3 → 44

Calls

3 calls:

7.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))

series163.0ms (6.1%)

Counts

3 → 9

Calls

3 calls:

76.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
76.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
11.0ms	(+.f64 1 (exp.f64 x))

simplify62.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5012	761

prune47.0ms (1.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	3	54

Merged error: 0.2b

Counts

54 → 3

Compiler

Compiled 812 to 465 computations (42.7% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y)))
1.2b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
1.2b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite37.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64_3193`
26×	`*-un-lft-identity_binary64_3110`
20×	`sqrt-prod_binary64_3125`
14×	`add-sqr-sqrt_binary64_3131`
13×	`add-cube-cbrt_binary64_3142`
10×	`pow1_binary64_3168`
8×	`sqrt-div_binary64_3126` `associate-+r+_binary64_3044`
7×	`distribute-lft-out_binary64_3063` `associate--l+_binary64_3049` `log-pow_binary64_3196` `associate-+l+_binary64_3045`
6×	`add-exp-log_binary64_3145` `add-log-exp_binary64_3146` `log-div_binary64_3194`
5×	`flip3-+_binary64_3113` `flip-+_binary64_3084`
4×	`add-cbrt-cube_binary64_3143`
3×	`sqrt-pow1_binary64_3127` `pow1/2_binary64_3187`
2×	`associate-+l-_binary64_3047` `sum-log_binary64_3198` `rem-log-exp_binary64_3148`
1×	`sub-neg_binary64_3103` `+-commutative_binary64_3042` `rem-sqrt-square_binary64_3123` `diff-log_binary64_3199` `associate-+r-_binary64_3046`

Counts

4 → 88

Calls

4 calls:

15.0ms	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y)))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

series388.0ms (14.6%)

Counts

4 → 12

Calls

4 calls:

132.0ms	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y)))
116.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
106.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
34.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

simplify66.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4897	1643
1	4897	1643

prune113.0ms (4.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	100	3	103

Merged error: 0.2b

Counts

103 → 3

Compiler

Compiled 2130 to 1345 computations (36.9% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8)))) (*.f64 x y))
0.0b	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8))))
0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/8)))

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64_3146` `add-sqr-sqrt_binary64_3131`
6×	`add-cube-cbrt_binary64_3142` `*-un-lft-identity_binary64_3110`
5×	`add-exp-log_binary64_3145` `pow1_binary64_3168` `add-cbrt-cube_binary64_3143`
3×	`log-prod_binary64_3193` `associate-l_binary64_3053` `associate-r_binary64_3052` `associate-+l+_binary64_3045`
2×	`associate-*r/_binary64_3054` `flip3-+_binary64_3113` `sum-log_binary64_3198` `diff-log_binary64_3199` `associate-+r+_binary64_3044` `distribute-lft-in_binary64_3061` `distribute-rgt-in_binary64_3062` `flip-+_binary64_3084`
1×	`sub-neg_binary64_3103` `+-commutative_binary64_3042` `prod-exp_binary64_3156` `pow-prod-down_binary64_3178` `cbrt-unprod_binary64_3140` `associate--l+_binary64_3049` `*-commutative_binary64_3043` `unswap-sqr_binary64_3078` `flip3--_binary64_3114` `flip--_binary64_3085`

Counts

3 → 51

Calls

3 calls:

7.0ms	(-.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8)))) (*.f64 x y))
6.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/8)))
4.0ms	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8))))

series154.0ms (5.8%)

Counts

3 → 9

Calls

3 calls:

78.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/8)))
51.0ms	(-.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8)))) (*.f64 x y))
24.0ms	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8))))

simplify70.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5255	1066

prune72.0ms (2.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	59	4	63

Merged error: 0.2b

Counts

63 → 4

Compiler

Compiled 1206 to 861 computations (28.6% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (-.f64 (+.f64 1/2 (.f64 x 1/8)) y))
0.0b	(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 x 1/8)) y)))

rewrite19.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_3131`
7×	`*-un-lft-identity_binary64_3110`
5×	`add-cube-cbrt_binary64_3142` `associate-r_binary64_3052`
4×	`sub-neg_binary64_3103` `add-exp-log_binary64_3145` `pow1_binary64_3168` `associate--l+_binary64_3049` `associate-+r+_binary64_3044` `distribute-lft-in_binary64_3061` `distribute-rgt-in_binary64_3062` `add-cbrt-cube_binary64_3143`
3×	`add-log-exp_binary64_3146` `log-prod_binary64_3193` `associate-l_binary64_3053` `associate-+l+_binary64_3045`
2×	`associate-*r/_binary64_3054`
1×	`+-commutative_binary64_3042` `prod-exp_binary64_3156` `pow-prod-down_binary64_3178` `cbrt-unprod_binary64_3140` `difference-of-squares_binary64_3079` `flip3-+_binary64_3113` `sum-log_binary64_3198` `*-commutative_binary64_3043` `distribute-lft-out--_binary64_3064` `unswap-sqr_binary64_3078` `flip3--_binary64_3114` `flip-+_binary64_3084` `flip--_binary64_3085`

Counts

2 → 44

Calls

2 calls:

9.0ms	(.f64 x (-.f64 (+.f64 1/2 (.f64 x 1/8)) y))
6.0ms	(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 x 1/8)) y)))

series91.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

47.0ms	(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 x 1/8)) y)))
43.0ms	(.f64 x (-.f64 (+.f64 1/2 (.f64 x 1/8)) y))

simplify63.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4973	899
1	4973	899

prune52.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	50	4	54

Merged error: 0.2b

Counts

54 → 4

Compiler

Compiled 907 to 686 computations (24.4% saved)

regimes37.0ms (1.4%)

Compiler: Compiled 169 to 153 computations (9.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	28
1	40	28

end0.0ms (0%)

sample875.0ms (32.8%)

Algorithm

1×

intervals

Results

391.0ms	7385×	body	128	valid
90.0ms	207×	body	1024	valid
56.0ms	231×	body	512	valid
24.0ms	177×	body	256	valid
3.0ms	42×	body	128	invalid
0.0ms	9×	body	128	overflowed

Compiler

Compiled 102 to 88 computations (13.7% saved)

Details

analyze74.0ms (2.8%)

sample26.0ms (1%)

simplify165.0ms (6.2%)

prune3.0ms (0.1%)

localize12.0ms (0.5%)

rewrite18.0ms (0.7%)

series163.0ms (6.1%)

simplify62.0ms (2.3%)

prune47.0ms (1.8%)

localize13.0ms (0.5%)

rewrite37.0ms (1.4%)

series388.0ms (14.6%)

simplify66.0ms (2.5%)

prune113.0ms (4.3%)

localize11.0ms (0.4%)

rewrite21.0ms (0.8%)

series154.0ms (5.8%)

simplify70.0ms (2.6%)

prune72.0ms (2.7%)

localize10.0ms (0.4%)

rewrite19.0ms (0.7%)

series91.0ms (3.4%)

simplify63.0ms (2.4%)

prune52.0ms (2%)

regimes37.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample875.0ms (32.8%)

Profiling