Details

analyze73.0ms (3.4%)

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)

sample19.0ms (0.9%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	18×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify8.0ms (0.4%)

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: 0.8b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.7b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite18.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`distribute-lft-out_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`add-exp-log_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 45

Calls

2 calls:

9.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series124.0ms (5.9%)

Counts

2 → 6

Calls

2 calls:

89.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
34.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify65.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5511	899

prune53.0ms (2.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Merged error: 0.2b

Counts

52 → 3

Compiler

Compiled 950 to 318 computations (66.5% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
1.0b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
3.8b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite33.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
9×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
8×	`log-prod_binary64` `cancel-sign-sub-inv_binary64`
7×	`exp-sum_binary64`
6×	`log-div_binary64` `exp-prod_binary64`
5×	`log-pow_binary64` `add-exp-log_binary64`
4×	`flip3-+_binary64` `associate--r+_binary64` `associate--r-_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `flip-+_binary64`
3×	`distribute-lft-out_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `rem-exp-log_binary64` `difference-of-squares_binary64`
1×	`flip3--_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 74

Calls

4 calls:

9.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
7.0ms	(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))

series265.0ms (12.6%)

Counts

4 → 12

Calls

4 calls:

96.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
70.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
63.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
36.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify81.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4842	1303
1	4842	1303

prune59.0ms (2.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	86	3	89

Merged error: 0.2b

Counts

89 → 3

Compiler

Compiled 1229 to 347 computations (71.8% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)
0.4b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
0.7b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite57.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`*-un-lft-identity_binary64`
60×	`times-frac_binary64`
47×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
42×	`cbrt-prod_binary64`
36×	`unpow-prod-down_binary64` `cube-prod_binary64`
17×	`distribute-lft-out_binary64`
10×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
5×	`pow1_binary64` `div-inv_binary64`
4×	`associate-/r*_binary64`
3×	`pow-unpow_binary64` `associate-/l*_binary64`
2×	`cbrt-undiv_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 153

Calls

4 calls:

11.0ms	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
11.0ms	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series408.0ms (19.3%)

Counts

4 → 12

Calls

4 calls:

195.0ms	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)
90.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
88.0ms	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
34.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify92.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5103	3537

prune134.0ms (6.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	164	4	168

Merged error: 0.2b

Counts

168 → 4

Compiler

Compiled 2874 to 963 computations (66.5% saved)

localize5.0ms (0.3%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Merged error: 0.2b

Counts

4 → 4

Compiler

Compiled 0 to 0 computations (0% saved)

regimes47.0ms (2.2%)

Compiler: Compiled 203 to 192 computations (5.4% 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%)

sample537.0ms (25.4%)

Algorithm

1×

intervals

Results

247.0ms	8000×	body	128	valid
18.0ms	689×	body	128	overflowed

Compiler

Compiled 61 to 57 computations (6.6% saved)

Details

analyze73.0ms (3.4%)

sample19.0ms (0.9%)

simplify8.0ms (0.4%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite18.0ms (0.8%)

series124.0ms (5.9%)

simplify65.0ms (3.1%)

prune53.0ms (2.5%)

localize8.0ms (0.4%)

rewrite33.0ms (1.6%)

series265.0ms (12.6%)

simplify81.0ms (3.8%)

prune59.0ms (2.8%)

localize8.0ms (0.4%)

rewrite57.0ms (2.7%)

series408.0ms (19.3%)

simplify92.0ms (4.3%)

prune134.0ms (6.4%)

localize5.0ms (0.3%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.3%)

prune1.0ms (0%)

regimes47.0ms (2.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample537.0ms (25.4%)

Profiling