Details

analyze261.0ms (7.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4882	28
1	4882	28
0	2	2
1	2	2

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)

sample25.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	235×	body	128	valid
3.0ms	11×	body	512	valid
2.0ms	4×	body	1024	valid
1.0ms	6×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 19 to 19 computations (0% saved)

simplify135.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	4811	14
1	4811	14

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

Error

0.6b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.3b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_2806`
8×	`log-prod_binary64_2892`
6×	`add-log-exp_binary64_2845`
5×	`add-sqr-sqrt_binary64_2828` `add-cube-cbrt_binary64_2841`
4×	`add-exp-log_binary64_2844` `associate--l+_binary64_2743` `log-div_binary64_2893` `pow1_binary64_2867`
3×	`distribute-lft-out_binary64_2757` `add-cbrt-cube_binary64_2842` `flip-+_binary64_2780` `flip3-+_binary64_2809`
2×	`associate--l-_binary64_2744`
1×	`cancel-sign-sub-inv_binary64_2772` `flip3--_binary64_2810` `diff-log_binary64_2898` `rem-log-exp_binary64_2847` `sub-neg_binary64_2799` `sum-log_binary64_2897` `flip--_binary64_2781` `log-pow_binary64_2895` `+-commutative_binary64_2736`

Counts

3 → 45

Calls

3 calls:

8.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
6.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
3.0ms	(+.f64 1 (exp.f64 x))

series91.0ms (2.5%)

Counts

3 → 9

Calls

3 calls:

43.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
41.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
6.0ms	(+.f64 1 (exp.f64 x))

simplify106.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4858	767
1	4858	767

prune56.0ms (1.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	49	5	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	5	55

Error

0.3b

Counts

55 → 5

Compiler

Compiled 869 to 505 computations (41.9% saved)

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
0.4b	(log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))
3.8b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
3.9b	(log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))

rewrite48.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_2806`
18×	`add-sqr-sqrt_binary64_2828` `log-prod_binary64_2892`
11×	`pow1_binary64_2867`
10×	`add-cube-cbrt_binary64_2841`
8×	`log-div_binary64_2893`
7×	`cancel-sign-sub-inv_binary64_2772` `distribute-lft-out--_binary64_2758` `log-pow_binary64_2895`
6×	`add-exp-log_binary64_2844` `distribute-lft-out_binary64_2757` `add-log-exp_binary64_2845`
5×	`associate--r+_binary64_2742` `difference-of-squares_binary64_2775`
4×	`associate--l+_binary64_2743` `add-cbrt-cube_binary64_2842` `flip-+_binary64_2780` `flip3-+_binary64_2809`
2×	`flip3--_binary64_2810` `associate--l-_binary64_2744` `diff-log_binary64_2898` `associate--r-_binary64_2745` `rem-log-exp_binary64_2847` `sub-neg_binary64_2799` `flip--_binary64_2781` `unpow2_binary64_2871`
1×	`distribute-rgt-out--_binary64_2760` `unpow-prod-down_binary64_2885` `sqr-pow_binary64_2778`

Counts

4 → 84

Calls

4 calls:

18.0ms	(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
9.0ms	(log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
7.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
6.0ms	(log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))

series427.0ms (11.6%)

Counts

4 → 12

Calls

4 calls:

205.0ms	(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
120.0ms	(log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
78.0ms	(log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))
22.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

simplify114.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4931	2219
1	4931	2219

prune145.0ms (3.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	96	5	101

Error

0.3b

Counts

101 → 5

Compiler

Compiled 2829 to 1772 computations (37.4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(-.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
1.0b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
1.0b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite32.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_2806` `log-prod_binary64_2892`
9×	`add-log-exp_binary64_2845`
8×	`sqrt-div_binary64_2823` `add-sqr-sqrt_binary64_2828` `log-div_binary64_2893` `add-cube-cbrt_binary64_2841` `sqrt-prod_binary64_2822` `pow1_binary64_2867`
6×	`add-exp-log_binary64_2844` `log-pow_binary64_2895`
5×	`flip-+_binary64_2780` `flip3-+_binary64_2809`
4×	`add-cbrt-cube_binary64_2842` `associate--l-_binary64_2744`
3×	`distribute-lft-out_binary64_2757`
2×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `associate-+l-_binary64_2741` `diff-log_binary64_2898` `associate-+r-_binary64_2740` `rem-log-exp_binary64_2847` `sum-log_binary64_2897`
1×	`cancel-sign-sub-inv_binary64_2772` `associate--l+_binary64_2743` `flip3--_binary64_2810` `sub-neg_binary64_2799` `flip--_binary64_2781` `+-commutative_binary64_2736`

Counts

4 → 70

Calls

4 calls:

14.0ms	(-.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms	(+.f64 1 (exp.f64 x))

series199.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

73.0ms	(-.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
62.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
58.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
6.0ms	(+.f64 1 (exp.f64 x))

simplify69.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5861	1290

prune95.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	82	5	87

Error

0.3b

Counts

87 → 5

Compiler

Compiled 1824 to 1150 computations (37% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))))
1.2b	(cbrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
1.2b	(cbrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
1.2b	(cbrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`pow1_binary64_2867`
17×	`cbrt-prod_binary64_2837`
12×	`pow1/3_binary64_2888`
11×	`add-sqr-sqrt_binary64_2828`
9×	`add-exp-log_binary64_2844` `*-un-lft-identity_binary64_2806` `pow-prod-up_binary64_2876` `add-cube-cbrt_binary64_2841`
7×	`associate-r_binary64_2746`
6×	`pow-plus_binary64_2869`
5×	`add-cbrt-cube_binary64_2842` `pow-prod-down_binary64_2877`
4×	`add-log-exp_binary64_2845` `log-pow_binary64_2895`
3×	`pow-sqr_binary64_2779` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
2×	`pow2_binary64_2887` `unswap-sqr_binary64_2774`
1×	`associate-l_binary64_2747` `rem-3cbrt-lft_binary64_2831` `pow3_binary64_2889` `*-commutative_binary64_2737`

Counts

4 → 73

Calls

4 calls:

9.0ms	(.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))))
1.0ms	(cbrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
1.0ms	(cbrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
1.0ms	(cbrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))

series433.0ms (11.8%)

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
126.0ms	(cbrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
122.0ms	(cbrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
46.0ms	(.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))))

simplify94.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4904	1157
1	4904	1157

prune107.0ms (2.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	85	5	90

Error

0.3b

Counts

90 → 5

Compiler

Compiled 1991 to 1303 computations (34.6% saved)

regimes94.0ms (2.5%)

Accuracy

Total 0.3b remaining (47.5%)

Threshold costs 0.3b (47.5%)

Compiler

Compiled 832 to 693 computations (16.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample1.1s (28.9%)

Algorithm

1×

intervals

Results

378.0ms	7383×	body	128	valid
86.0ms	216×	body	1024	valid
54.0ms	239×	body	512	valid
21.0ms	161×	body	256	valid
2.0ms	43×	body	128	invalid
1.0ms	1×	body	2048	valid
0.0ms	9×	body	128	overflowed

Compiler

Compiled 315 to 262 computations (16.8% saved)

Details

analyze261.0ms (7.1%)

sample25.0ms (0.7%)

simplify135.0ms (3.7%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite20.0ms (0.5%)

series91.0ms (2.5%)

simplify106.0ms (2.9%)

prune56.0ms (1.5%)

localize18.0ms (0.5%)

rewrite48.0ms (1.3%)

series427.0ms (11.6%)

simplify114.0ms (3.1%)

prune145.0ms (3.9%)

localize10.0ms (0.3%)

rewrite32.0ms (0.9%)

series199.0ms (5.4%)

simplify69.0ms (1.9%)

prune95.0ms (2.6%)

localize12.0ms (0.3%)

rewrite19.0ms (0.5%)

series433.0ms (11.8%)

simplify94.0ms (2.6%)

prune107.0ms (2.9%)

regimes94.0ms (2.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (28.9%)

Profiling