Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample12.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify182.0ms (9.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4783	13
1	4783	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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite15.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_760`
15×	`times-frac_binary64_766`
12×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
5×	`distribute-lft-out_binary64_711` `cosh-undef_binary64_954` `associate-/r*_binary64_704`
4×	`add-exp-log_binary64_798` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
3×	`associate-/l*_binary64_705`
2×	`associate-/r/_binary64_706` `flip3-+_binary64_763` `flip-+_binary64_734` `pow1_binary64_821`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `+-commutative_binary64_690` `sum-log_binary64_851` `div-exp_binary64_811` `clear-num_binary64_759`

Counts

2 → 50

Calls

2 calls:

7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series67.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

52.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
15.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify80.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4839	954
1	4839	954

prune46.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	2	57

Error

Counts

57 → 2

Compiler

Compiled 798 to 337 computations (57.8% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
0.0b	(sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite42.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`*-un-lft-identity_binary64_760`
62×	`times-frac_binary64_766`
48×	`add-sqr-sqrt_binary64_782`
42×	`sqrt-prod_binary64_776` `add-cube-cbrt_binary64_795`
14×	`distribute-lft-out_binary64_711` `cosh-undef_binary64_954`
10×	`associate-/r*_binary64_704`
8×	`associate-/r/_binary64_706` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
6×	`associate-/l*_binary64_705` `pow1_binary64_821`
4×	`rem-sqrt-square_binary64_773` `flip3-+_binary64_763` `add-log-exp_binary64_799` `div-inv_binary64_757` `flip-+_binary64_734`
2×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `sqrt-pow1_binary64_778` `sqrt-div_binary64_777` `pow1/2_binary64_840` `div-exp_binary64_811` `clear-num_binary64_759`

Counts

4 → 140

Calls

4 calls:

7.0ms	(sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
7.0ms	(sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series259.0ms (13.1%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
82.0ms	(sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
49.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
43.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

simplify83.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4980	3142
1	4980	3142

prune172.0ms (8.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	152	2	154

Error

Counts

154 → 2

Compiler

Compiled 3924 to 1722 computations (56.1% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(/.f64 (sqrt.f64 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.5b	(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))

rewrite45.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`*-un-lft-identity_binary64_760`
64×	`times-frac_binary64_766`
57×	`add-sqr-sqrt_binary64_782`
41×	`sqrt-prod_binary64_776` `add-cube-cbrt_binary64_795`
36×	`associate-r_binary64_700`
14×	`distribute-lft-out_binary64_711` `cosh-undef_binary64_954`
10×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
6×	`unswap-sqr_binary64_728` `associate-/l_binary64_705` `associate-l*_binary64_701`
5×	`associate-/r*_binary64_704` `add-log-exp_binary64_799` `pow1_binary64_821`
4×	`associate-/r/_binary64_706`
3×	`flip3-+_binary64_763` `flip-+_binary64_734`
2×	`cbrt-undiv_binary64_794` `prod-exp_binary64_809` `div-inv_binary64_757` `cbrt-unprod_binary64_793` `div-exp_binary64_811`
1×	`frac-2neg_binary64_771` `+-commutative_binary64_690` `sum-log_binary64_851` `associate-r/_binary64_702` `clear-num_binary64_759` `pow-prod-down_binary64_831` `-commutative_binary64_691`

Counts

3 → 130

Calls

3 calls:

21.0ms	(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
8.0ms	(/.f64 (sqrt.f64 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series154.0ms (7.8%)

Counts

3 → 9

Calls

3 calls:

81.0ms	(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
57.0ms	(/.f64 (sqrt.f64 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
15.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify104.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4861	2742
1	4861	2742

prune126.0ms (6.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	139	2	141

Error

Counts

141 → 2

Compiler

Compiled 2568 to 1329 computations (48.2% saved)

regimes61.0ms (3.1%)

Accuracy

Total 0.0b remaining (64.6%)

Threshold costs 0.0b (64.6%)

Compiler

Compiled 439 to 369 computations (15.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	25
1	23	25

end0.0ms (0%)

sample504.0ms (25.5%)

Algorithm

1×

intervals

Results

232.0ms

8000×

body

128

valid

Compiler

Compiled 129 to 112 computations (13.2% saved)

Details

analyze1.0ms (0.1%)

sample12.0ms (0.6%)

simplify182.0ms (9.2%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite15.0ms (0.8%)

series67.0ms (3.4%)

simplify80.0ms (4.1%)

prune46.0ms (2.3%)

localize8.0ms (0.4%)

rewrite42.0ms (2.1%)

series259.0ms (13.1%)

simplify83.0ms (4.2%)

prune172.0ms (8.7%)

localize7.0ms (0.4%)

rewrite45.0ms (2.3%)

series154.0ms (7.8%)

simplify104.0ms (5.2%)

prune126.0ms (6.4%)

regimes61.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample504.0ms (25.5%)

Profiling