Details

analyze506.0ms (7.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4892	25
1	4892	25
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	49.9%	0%	12
99.6%	0.3%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 30 to 27 computations (10% saved)

sample26.0ms (0.4%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 59 to 54 computations (8.5% saved)

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4892	25
1	4892	25

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

0.0b

Counts

2 → 2

Compiler

Compiled 63 to 58 computations (7.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
0.0b	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
0.0b	(/.f64 4 (+.f64 1 t))
0.0b	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

rewrite280.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

75×	`*-un-lft-identity_binary64_760`
44×	`times-frac_binary64_766`
42×	`add-sqr-sqrt_binary64_782`
31×	`add-cube-cbrt_binary64_795`
18×	`distribute-lft-out_binary64_711` `cancel-sign-sub-inv_binary64_726`
8×	`add-exp-log_binary64_798` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `associate-/r*_binary64_704`
7×	`associate-/l*_binary64_705`
6×	`associate-/r/_binary64_706` `difference-of-squares_binary64_729`
5×	`flip3-+_binary64_763` `flip-+_binary64_734`
4×	`pow1_binary64_821` `div-inv_binary64_757`
2×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/l/_binary64_707` `distribute-lft-out--_binary64_712`
1×	`diff-log_binary64_852` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

4 → 122

Calls

4 calls:

30.0ms	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
16.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
11.0ms	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
5.0ms	(/.f64 4 (+.f64 1 t))

Compiler

Compiled 3552 to 3152 computations (11.3% saved)

series206.0ms (3%)

Error

Counts

4 → 48

Calls

4 calls:

44.0ms	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
43.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
34.0ms	(/.f64 4 (+.f64 1 t))
30.0ms	(+.f64 (/.f64 4 (+.f64 1 t)) -8)

Compiler

Compiled 1850 to 1675 computations (9.5% saved)

simplify110.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4839	3460
1	4839	3460

prune231.0ms (3.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	169	3	172

Error

Counts

172 → 3

Compiler

Compiled 3835 to 3310 computations (13.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
0.3b	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
2.0b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
2.0b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite1.6s (23.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

464×	`times-frac_binary64_766`
380×	`*-un-lft-identity_binary64_760`
232×	`add-sqr-sqrt_binary64_782`
214×	`add-cube-cbrt_binary64_795`
142×	`cancel-sign-sub-inv_binary64_726`
108×	`distribute-lft-out_binary64_711`
80×	`div-inv_binary64_757`
26×	`associate-/l*_binary64_705`
14×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
10×	`associate-/r*_binary64_704`
8×	`add-log-exp_binary64_799` `associate-/r/_binary64_706`
6×	`difference-of-squares_binary64_729` `div-exp_binary64_811` `cbrt-undiv_binary64_794`
4×	`pow1_binary64_821` `flip3-+_binary64_763` `flip-+_binary64_734`
2×	`diff-log_binary64_852` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `distribute-lft-out--_binary64_712` `frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/l/_binary64_707`

Counts

4 → 372

Calls

4 calls:

34.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
32.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
16.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
13.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))

Compiler

Compiled 15522 to 13089 computations (15.7% saved)

series235.0ms (3.4%)

Error

Counts

4 → 48

Calls

4 calls:

42.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
41.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
40.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
39.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Compiler

Compiled 3048 to 2713 computations (11% saved)

simplify132.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

420 → 420

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5094	8990

prune1.5s (21.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	420	0	420
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	420	3	423

Error

Counts

423 → 3

Compiler

Compiled 14745 to 12377 computations (16.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (+.f64 4 -8) (+.f64 1 t)) 6)
0.0b	(/.f64 (+.f64 4 -8) (+.f64 1 t))
0.0b	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 4 -8) (+.f64 1 t)) 6)))
0.0b	(/.f64 1 (+.f64 (/.f64 (+.f64 4 -8) (+.f64 1 t)) 6))

rewrite248.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

75×	`*-un-lft-identity_binary64_760`
44×	`times-frac_binary64_766`
42×	`add-sqr-sqrt_binary64_782`
31×	`add-cube-cbrt_binary64_795`
18×	`distribute-lft-out_binary64_711` `cancel-sign-sub-inv_binary64_726`
10×	`add-exp-log_binary64_798`
8×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `associate-/r*_binary64_704`
7×	`associate-/l*_binary64_705`
6×	`associate-/r/_binary64_706` `difference-of-squares_binary64_729`
5×	`pow1_binary64_821` `flip3-+_binary64_763` `flip-+_binary64_734`
4×	`div-inv_binary64_757`
3×	`div-exp_binary64_811`
2×	`cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `distribute-lft-out--_binary64_712` `associate-/l/_binary64_707`
1×	`inv-pow_binary64_845` `pow-flip_binary64_834` `1-exp_binary64_804` `rec-exp_binary64_810` `diff-log_binary64_852` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

4 → 126

Calls

4 calls:

22.0ms	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 4 -8) (+.f64 1 t)) 6)))
16.0ms	(+.f64 (/.f64 (+.f64 4 -8) (+.f64 1 t)) 6)
16.0ms	(/.f64 1 (+.f64 (/.f64 (+.f64 4 -8) (+.f64 1 t)) 6))
8.0ms	(/.f64 (+.f64 4 -8) (+.f64 1 t))

Compiler

Compiled 3044 to 2824 computations (7.2% saved)

series70.0ms (1%)

Error

Counts

4 → 20

Calls

4 calls:

18.0ms	(/.f64 1 (+.f64 (/.f64 (+.f64 4 -8) (+.f64 1 t)) 6))
16.0ms	(+.f64 (/.f64 (+.f64 4 -8) (+.f64 1 t)) 6)
16.0ms	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 4 -8) (+.f64 1 t)) 6)))
12.0ms	(/.f64 (+.f64 4 -8) (+.f64 1 t))

Compiler

Compiled 432 to 423 computations (2.1% saved)

simplify77.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4794	2214
1	4794	2214

prune142.0ms (2.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	146	3	149

Error

Counts

149 → 3

Compiler

Compiled 2325 to 2123 computations (8.7% saved)

regimes318.0ms (4.6%)

Accuracy

Total 0.0b remaining (66.6%)

Threshold costs 0.0b (66.6%)

Compiler

Compiled 3085 to 2882 computations (6.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	28
1	39	28

end0.0ms (0%)

sample1.2s (16.7%)

Algorithm

1×

intervals

Results

563.0ms

8000×

body

128

valid

Compiler

Compiled 386 to 362 computations (6.2% saved)

Details

analyze506.0ms (7.3%)

sample26.0ms (0.4%)

simplify66.0ms (1%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

rewrite280.0ms (4.1%)

series206.0ms (3%)

simplify110.0ms (1.6%)

prune231.0ms (3.4%)

localize11.0ms (0.2%)

rewrite1.6s (23.1%)

series235.0ms (3.4%)

simplify132.0ms (1.9%)

prune1.5s (21.3%)

localize8.0ms (0.1%)

rewrite248.0ms (3.6%)

series70.0ms (1%)

simplify77.0ms (1.1%)

prune142.0ms (2.1%)

regimes318.0ms (4.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.2s (16.7%)

Profiling