Details

analyze367.0ms (5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	8	20
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
25%	74.9%	0.1%	4
50%	50%	0.1%	5
50%	37.5%	12.6%	6
50%	25%	25.1%	7
50%	18.7%	31.3%	8
50%	12.5%	37.6%	9
50%	9.4%	40.7%	10
50%	6.2%	43.8%	11
50%	4.7%	45.4%	12
50%	3.1%	46.9%	13
50%	2.3%	47.7%	14

Symmetry

sort(a b)

Compiler

Compiled 7 to 7 computations (0% saved)

sample75.0ms (1%)

Algorithm

1×

intervals

Results

29.0ms	62×	body	1024	valid
14.0ms	148×	body	128	valid
6.0ms	25×	body	512	valid
4.0ms	7×	body	2048	valid
2.0ms	14×	body	256	valid
0.0ms	5×	body	128	overflowed

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

prune4.0ms (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

29.9b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
5.7b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite42.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

29.8b

Rules

7×	`*-un-lft-identity_binary64`
4×	`log-prod_binary64` `add-log-exp_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `add-exp-log_binary64`
2×	`flip3-+_binary64` `log-div_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64`
1×	`log-pow_binary64` `rem-log-exp_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 27

Calls

2 calls:

6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 363 to 92 computations (74.7% saved)

series229.0ms (3.1%)

Error

1.5b

Counts

2 → 23

Calls

2 calls:

176.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
31.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 751 to 569 computations (24.2% saved)

simplify99.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4976	826
1	4976	826

prune41.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	3	51

Error

1.4b

Counts

51 → 3

Compiler

Compiled 653 to 278 computations (57.4% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 a))
0.0b	(+.f64 1 (exp.f64 a))
0.0b	(log.f64 (+.f64 1 (exp.f64 a)))
0.0b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))

rewrite89.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

17×	`*-un-lft-identity_binary64`
9×	`add-log-exp_binary64`
8×	`log-prod_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `distribute-lft-out_binary64`
5×	`add-exp-log_binary64` `flip3-+_binary64` `flip-+_binary64`
4×	`add-cbrt-cube_binary64` `log-div_binary64` `associate-+l+_binary64`
3×	`sum-log_binary64` `+-commutative_binary64`
2×	`log-pow_binary64` `associate-+l-_binary64`
1×	`rem-log-exp_binary64`

Counts

4 → 58

Calls

4 calls:

15.0ms	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
3.0ms	(log.f64 (+.f64 1 (exp.f64 a)))
3.0ms	(+.f64 1 (exp.f64 a))
3.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 1159 to 732 computations (36.8% saved)

series310.0ms (4.3%)

Error

1.4b

Counts

4 → 26

Calls

4 calls:

208.0ms	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
58.0ms	(log.f64 (+.f64 1 (exp.f64 a)))
17.0ms	(+.f64 1 (exp.f64 a))
9.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 829 to 654 computations (21.1% saved)

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4929	1220
1	4929	1220

prune82.0ms (1.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	81	6	87

Error

1.4b

Counts

87 → 6

Compiler

Compiled 1497 to 976 computations (34.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) 1)
0.0b	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))))
0.5b	(log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))
0.5b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))))

rewrite155.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

29×	`*-un-lft-identity_binary64`
21×	`log-prod_binary64`
14×	`distribute-lft-out_binary64`
13×	`pow1_binary64`
12×	`sqrt-prod_binary64`
11×	`log-pow_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`sqrt-div_binary64` `log-div_binary64` `add-log-exp_binary64`
7×	`associate-+l+_binary64`
6×	`flip3-+_binary64` `flip-+_binary64` `add-exp-log_binary64`
4×	`add-cbrt-cube_binary64` `sum-log_binary64` `associate-+r-_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-log-exp_binary64` `associate-+l-_binary64` `+-commutative_binary64`
1×	`associate-+r+_binary64`

Counts

4 → 82

Calls

4 calls:

21.0ms	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))))
5.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))))
4.0ms	(+.f64 (exp.f64 a) 1)

Compiler

Compiled 2376 to 1610 computations (32.2% saved)

series583.0ms (8%)

Error

1.4b

Counts

4 → 30

Calls

4 calls:

328.0ms	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))))
100.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))
98.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))))
15.0ms	(+.f64 (exp.f64 a) 1)

Compiler

Compiled 1817 to 1504 computations (17.2% saved)

simplify79.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4913	2113
1	4913	2113

prune142.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	112	6	118

Error

1.4b

Counts

118 → 6

Compiler

Compiled 2775 to 1900 computations (31.5% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))) (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (+.f64 (exp.f64 a) 1))))
0.5b	(log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))
0.5b	(log.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))))
0.5b	(log.f64 (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))))

rewrite247.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

37×	`log-prod_binary64` `sqrt-prod_binary64`
34×	`*-un-lft-identity_binary64`
18×	`log-pow_binary64`
17×	`pow1_binary64`
16×	`sqrt-div_binary64`
15×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
14×	`distribute-lft-out_binary64`
10×	`log-div_binary64` `associate-+l+_binary64`
9×	`sqrt-pow1_binary64`
7×	`add-exp-log_binary64`
6×	`flip3-+_binary64` `flip-+_binary64` `add-log-exp_binary64`
5×	`pow1/2_binary64`
4×	`add-cbrt-cube_binary64` `associate-+l-_binary64`
3×	`rem-log-exp_binary64` `sum-log_binary64`
2×	`associate-+r-_binary64`
1×	`associate-+r+_binary64` `+-commutative_binary64`

Counts

4 → 103

Calls

4 calls:

22.0ms	(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))) (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (+.f64 (exp.f64 a) 1))))
6.0ms	(log.f64 (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))))
5.0ms	(log.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))))
5.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))

Compiler

Compiled 3950 to 2801 computations (29.1% saved)

series976.0ms (13.4%)

Error

1.4b

Counts

4 → 30

Calls

4 calls:

558.0ms	(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))) (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (+.f64 (exp.f64 a) 1))))
139.0ms	(log.f64 (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))))
124.0ms	(log.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))))
99.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))

Compiler

Compiled 2705 to 2198 computations (18.7% saved)

simplify81.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	6140	3403

prune266.0ms (3.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	130	3	133
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	133	6	139

Error

1.4b

Counts

139 → 6

Compiler

Compiled 4796 to 3445 computations (28.2% saved)

regimes519.0ms (7.1%)

Accuracy

Total 16.0b remaining (96%)

Threshold costs 0b (0%)

Compiler

Compiled 6882 to 5021 computations (27% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	12	19

Removed

()

Compiler

Compiled 24 to 20 computations (16.7% saved)

end0.0ms (0%)

sample2.8s (37.8%)

Algorithm

1×

intervals

Results

872.0ms	1939×	body	1024	valid
221.0ms	959×	body	512	valid
201.0ms	4388×	body	128	valid
132.0ms	213×	body	2048	valid
60.0ms	501×	body	256	valid
5.0ms	127×	body	128	overflowed

Compiler

Compiled 1066 to 792 computations (25.7% saved)

Details

analyze367.0ms (5%)

sample75.0ms (1%)

simplify7.0ms (0.1%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

rewrite42.0ms (0.6%)

series229.0ms (3.1%)

simplify99.0ms (1.4%)

prune41.0ms (0.6%)

localize8.0ms (0.1%)

rewrite89.0ms (1.2%)

series310.0ms (4.3%)

simplify74.0ms (1%)

prune82.0ms (1.1%)

localize13.0ms (0.2%)

rewrite155.0ms (2.1%)

series583.0ms (8%)

simplify79.0ms (1.1%)

prune142.0ms (2%)

localize20.0ms (0.3%)

rewrite247.0ms (3.4%)

series976.0ms (13.4%)

simplify81.0ms (1.1%)

prune266.0ms (3.7%)

regimes519.0ms (7.1%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample2.8s (37.8%)

Profiling