Details

analyze73.0ms (3.3%)

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
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample20.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
5.0ms	20×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify163.0ms (7.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

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: 0.3b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_2831`
12×	`times-frac_binary64_2837`
10×	`add-cube-cbrt_binary64_2866` `add-sqr-sqrt_binary64_2853`
4×	`distribute-lft-out_binary64_2782` `associate-/r*_binary64_2775`
3×	`add-cbrt-cube_binary64_2867` `associate-/l*_binary64_2776`
2×	`add-exp-log_binary64_2869` `associate-/r/_binary64_2777`
1×	`frac-2neg_binary64_2842` `pow1_binary64_2892` `flip3-+_binary64_2834` `add-log-exp_binary64_2870` `div-inv_binary64_2828` `cbrt-undiv_binary64_2865` `div-exp_binary64_2882` `flip-+_binary64_2805` `clear-num_binary64_2830`

Counts

1 → 33

Calls

1 calls:

10.0ms

(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series86.0ms (3.9%)

Counts

1 → 3

Calls

1 calls:

86.0ms

(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

simplify64.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5612	718

prune41.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0.2b

Counts

37 → 4

Compiler

Compiled 696 to 230 computations (67% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
0.7b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
2.7b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite25.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_2831`
12×	`add-sqr-sqrt_binary64_2853`
8×	`pow1_binary64_2892` `log-prod_binary64_2917` `add-cube-cbrt_binary64_2866` `cancel-sign-sub-inv_binary64_2797`
7×	`exp-sum_binary64_2877`
6×	`add-log-exp_binary64_2870` `log-div_binary64_2918` `exp-prod_binary64_2883`
5×	`log-pow_binary64_2920`
4×	`associate--r+_binary64_2767` `distribute-lft-out--_binary64_2783` `associate--r-_binary64_2770` `add-exp-log_binary64_2869`
3×	`flip3-+_binary64_2834` `add-cbrt-cube_binary64_2867` `flip-+_binary64_2805`
2×	`distribute-lft-out_binary64_2782` `diff-log_binary64_2923` `sub-neg_binary64_2824` `rem-exp-log_binary64_2871` `difference-of-squares_binary64_2800`
1×	`flip3--_binary64_2835` `exp-diff_binary64_2879` `rem-log-exp_binary64_2872` `flip--_binary64_2806`

Counts

3 → 62

Calls

3 calls:

9.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
6.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

series222.0ms (10%)

Counts

3 → 9

Calls

3 calls:

87.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
71.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
63.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

simplify57.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5338	1119

prune58.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	70	5	75

Merged error: 0.0b

Counts

75 → 5

Compiler

Compiled 1132 to 365 computations (67.8% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
0.2b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
0.3b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite36.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64_2831`
36×	`exp-prod_binary64_2883` `times-frac_binary64_2837`
29×	`add-cube-cbrt_binary64_2866` `add-sqr-sqrt_binary64_2853`
19×	`log-pow_binary64_2920`
10×	`distribute-lft-out_binary64_2782`
6×	`associate-/r/_binary64_2777`
5×	`add-cbrt-cube_binary64_2867`
4×	`pow1_binary64_2892` `add-log-exp_binary64_2870` `add-exp-log_binary64_2869` `associate-/r*_binary64_2775`
3×	`log-prod_binary64_2917` `flip3-+_binary64_2834` `div-inv_binary64_2828` `flip-+_binary64_2805` `associate-/l*_binary64_2776`
1×	`frac-2neg_binary64_2842` `cbrt-undiv_binary64_2865` `rem-exp-log_binary64_2871` `rem-log-exp_binary64_2872` `div-exp_binary64_2882` `clear-num_binary64_2830`

Counts

3 → 89

Calls

3 calls:

10.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
9.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series393.0ms (17.7%)

Counts

3 → 9

Calls

3 calls:

178.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
124.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
91.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

simplify71.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5115	1734

prune70.0ms (3.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

Compiler

Compiled 1711 to 321 computations (81.2% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 1/2 (-.f64 a b)) (log.f64 2))
0.0b	(exp.f64 (-.f64 (*.f64 1/2 (-.f64 a b)) (log.f64 2)))

rewrite26.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`cancel-sign-sub-inv_binary64_2797`
16×	`associate--l+_binary64_2768`
13×	`exp-sum_binary64_2877`
10×	`add-cube-cbrt_binary64_2866` `add-sqr-sqrt_binary64_2853` `*-un-lft-identity_binary64_2831`
8×	`distribute-lft-in_binary64_2780` `distribute-rgt-in_binary64_2781`
6×	`sub-neg_binary64_2824`
5×	`add-log-exp_binary64_2870`
4×	`pow1_binary64_2892`
3×	`log-prod_binary64_2917` `associate--r+_binary64_2767` `exp-prod_binary64_2883`
2×	`log-pow_binary64_2920` `add-cbrt-cube_binary64_2867` `diff-log_binary64_2923` `rem-exp-log_binary64_2871` `add-exp-log_binary64_2869`
1×	`flip3--_binary64_2835` `exp-diff_binary64_2879` `flip--_binary64_2806`

Counts

2 → 52

Calls

2 calls:

11.0ms	(exp.f64 (-.f64 (*.f64 1/2 (-.f64 a b)) (log.f64 2)))
9.0ms	(-.f64 (*.f64 1/2 (-.f64 a b)) (log.f64 2))

series86.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

48.0ms	(exp.f64 (-.f64 (*.f64 1/2 (-.f64 a b)) (log.f64 2)))
38.0ms	(-.f64 (*.f64 1/2 (-.f64 a b)) (log.f64 2))

simplify67.0ms (3%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5006	728

prune47.0ms (2.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	1	0	1
Picked	1	0	1
Done	0	3	3
Total	59	4	63

Merged error: 0.0b

Counts

63 → 4

Compiler

Compiled 733 to 474 computations (35.3% saved)

regimes45.0ms (2%)

Compiler: Compiled 198 to 177 computations (10.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

end0.0ms (0%)

sample524.0ms (23.6%)

Algorithm

1×

intervals

Results

245.0ms	8000×	body	128	valid
17.0ms	649×	body	128	overflowed

Compiler

Compiled 59 to 52 computations (11.9% saved)

Details

analyze73.0ms (3.3%)

sample20.0ms (0.9%)

simplify163.0ms (7.3%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite16.0ms (0.7%)

series86.0ms (3.9%)

simplify64.0ms (2.9%)

prune41.0ms (1.8%)

localize8.0ms (0.4%)

rewrite25.0ms (1.1%)

series222.0ms (10%)

simplify57.0ms (2.6%)

prune58.0ms (2.6%)

localize8.0ms (0.4%)

rewrite36.0ms (1.6%)

series393.0ms (17.7%)

simplify71.0ms (3.2%)

prune70.0ms (3.2%)

localize7.0ms (0.3%)

rewrite26.0ms (1.2%)

series86.0ms (3.9%)

simplify67.0ms (3%)

prune47.0ms (2.1%)

regimes45.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample524.0ms (23.6%)

Profiling