Details

analyze82.0ms (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)

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	16×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify167.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

prune2.0ms (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: 1.0b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
1.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_2773`
12×	`times-frac_binary64_2779`
11×	`add-cube-cbrt_binary64_2805` `add-sqr-sqrt_binary64_2794`
5×	`distribute-lft-out_binary64_2726`
4×	`associate-/r*_binary64_2719` `add-cbrt-cube_binary64_2806` `add-log-exp_binary64_2809`
3×	`add-exp-log_binary64_2808` `associate-/l*_binary64_2720`
2×	`associate-/r/_binary64_2721` `pow1_binary64_2831` `flip3-+_binary64_2776` `flip-+_binary64_2747`
1×	`cbrt-undiv_binary64_2804` `frac-2neg_binary64_2784` `div-inv_binary64_2770` `div-exp_binary64_2821` `sum-log_binary64_2861` `clear-num_binary64_2772` `+-commutative_binary64_2705`

Counts

2 → 45

Calls

2 calls:

8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series131.0ms (4.8%)

Counts

2 → 6

Calls

2 calls:

96.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
35.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify70.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5165	899

prune35.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Merged error: 0.7b

Counts

52 → 4

Compiler

Compiled 755 to 172 computations (77.2% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
2.5b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite30.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_2773`
11×	`add-sqr-sqrt_binary64_2794`
9×	`add-log-exp_binary64_2809`
8×	`log-prod_binary64_2856`
7×	`pow1_binary64_2831` `add-cube-cbrt_binary64_2805`
6×	`exp-prod_binary64_2822` `log-div_binary64_2857`
5×	`add-exp-log_binary64_2808`
4×	`associate--r+_binary64_2711` `flip3-+_binary64_2776` `add-cbrt-cube_binary64_2806` `distribute-lft-out--_binary64_2727` `associate--r-_binary64_2714` `flip-+_binary64_2747`
3×	`exp-sum_binary64_2816` `distribute-lft-out_binary64_2726` `log-pow_binary64_2859`
2×	`difference-of-squares_binary64_2742` `diff-log_binary64_2862` `sub-neg_binary64_2766` `rem-exp-log_binary64_2810`
1×	`rem-log-exp_binary64_2811` `exp-diff_binary64_2818` `flip3--_binary64_2777` `flip--_binary64_2748` `sum-log_binary64_2861` `+-commutative_binary64_2705`

Counts

4 → 66

Calls

4 calls:

8.0ms	(-.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)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series269.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

95.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
75.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
66.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
32.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify77.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4968	1203
1	4968	1203

prune53.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	78	4	82

Merged error: 0.7b

Counts

82 → 4

Compiler

Compiled 1149 to 326 computations (71.6% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
0.1b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
1.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite43.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`*-un-lft-identity_binary64_2773`
36×	`exp-prod_binary64_2822` `times-frac_binary64_2779`
30×	`add-cube-cbrt_binary64_2805` `add-sqr-sqrt_binary64_2794`
19×	`log-pow_binary64_2859`
11×	`distribute-lft-out_binary64_2726`
7×	`add-log-exp_binary64_2809`
6×	`associate-/r/_binary64_2721` `add-cbrt-cube_binary64_2806`
5×	`add-exp-log_binary64_2808` `pow1_binary64_2831`
4×	`flip3-+_binary64_2776` `associate-/r*_binary64_2719` `flip-+_binary64_2747`
3×	`div-inv_binary64_2770` `log-prod_binary64_2856` `associate-/l*_binary64_2720`
1×	`rem-log-exp_binary64_2811` `cbrt-undiv_binary64_2804` `frac-2neg_binary64_2784` `div-exp_binary64_2821` `sum-log_binary64_2861` `clear-num_binary64_2772` `rem-exp-log_binary64_2810` `+-commutative_binary64_2705`

Counts

4 → 101

Calls

4 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)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series428.0ms (15.7%)

Counts

4 → 12

Calls

4 calls:

180.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
128.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
85.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
34.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify100.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4933	1915
1	4933	1915

prune82.0ms (3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	113	4	117

Merged error: 0.6b

Counts

117 → 4

Compiler

Compiled 1922 to 387 computations (79.9% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(log.f64 (.f64 (exp.f64 1/2) (+.f64 1 (.f64 1/4 (-.f64 a b)))))
0.1b	(.f64 (exp.f64 1/2) (+.f64 1 (.f64 1/4 (-.f64 a b))))

rewrite18.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_2831`
6×	`add-sqr-sqrt_binary64_2794`
5×	`add-exp-log_binary64_2808`
4×	`add-cube-cbrt_binary64_2805` `add-cbrt-cube_binary64_2806` `associate-r/_binary64_2717` `-un-lft-identity_binary64_2773`
3×	`associate-l_binary64_2716` `associate-r_binary64_2715`
2×	`rem-log-exp_binary64_2811` `log-div_binary64_2857` `pow-prod-down_binary64_2841` `flip3-+_binary64_2776` `add-log-exp_binary64_2809` `prod-exp_binary64_2819` `log-pow_binary64_2859` `flip-+_binary64_2747`
1×	`cbrt-unprod_binary64_2803` `distribute-rgt-in_binary64_2725` `unswap-sqr_binary64_2741` `log-prod_binary64_2856` `*-commutative_binary64_2706` `distribute-lft-in_binary64_2724`

Counts

2 → 36

Calls

2 calls:

8.0ms	(.f64 (exp.f64 1/2) (+.f64 1 (.f64 1/4 (-.f64 a b))))
7.0ms	(log.f64 (.f64 (exp.f64 1/2) (+.f64 1 (.f64 1/4 (-.f64 a b)))))

series137.0ms (5%)

Counts

2 → 6

Calls

2 calls:

89.0ms	(log.f64 (.f64 (exp.f64 1/2) (+.f64 1 (.f64 1/4 (-.f64 a b)))))
48.0ms	(.f64 (exp.f64 1/2) (+.f64 1 (.f64 1/4 (-.f64 a b))))

simplify65.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5073	754

prune44.0ms (1.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	42	4	46

Merged error: 0.6b

Counts

46 → 4

Compiler

Compiled 697 to 514 computations (26.3% saved)

regimes63.0ms (2.3%)

Compiler: Compiled 304 to 263 computations (13.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms (0%)

sample765.0ms (28%)

Algorithm

1×

intervals

Results

258.0ms	8000×	body	128	valid
18.0ms	696×	body	128	overflowed

Compiler

Compiled 70 to 62 computations (11.4% saved)

Details

analyze82.0ms (3%)

sample16.0ms (0.6%)

simplify167.0ms (6.1%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite16.0ms (0.6%)

series131.0ms (4.8%)

simplify70.0ms (2.6%)

prune35.0ms (1.3%)

localize8.0ms (0.3%)

rewrite30.0ms (1.1%)

series269.0ms (9.9%)

simplify77.0ms (2.8%)

prune53.0ms (1.9%)

localize11.0ms (0.4%)

rewrite43.0ms (1.6%)

series428.0ms (15.7%)

simplify100.0ms (3.6%)

prune82.0ms (3%)

localize10.0ms (0.4%)

rewrite18.0ms (0.7%)

series137.0ms (5%)

simplify65.0ms (2.4%)

prune44.0ms (1.6%)

regimes63.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample765.0ms (28%)

Profiling