Details

analyze150.0ms (1.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	12
1	72	12
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	49.7%	50.3%	0
0%	49.7%	50.3%	1
0%	49.7%	50.3%	2
24.8%	24.8%	50.3%	3
37.3%	12.4%	50.3%	4
43.5%	6.2%	50.3%	5
46.6%	3.1%	50.3%	6
48.1%	1.6%	50.3%	7
48.9%	0.8%	50.3%	8
49.3%	0.4%	50.3%	9
49.5%	0.2%	50.3%	10
49.6%	0.1%	50.3%	11
49.6%	0%	50.3%	12
49.7%	0%	50.3%	13
49.7%	0%	50.3%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample194.0ms (1.7%)

Algorithm

1×

intervals

Results

141.0ms	113×	body	2048	valid
27.0ms	78×	body	1024	valid
4.0ms	29×	body	512	valid
4.0ms	256×	pre	128	true
3.0ms	6×	body	4096	valid
1.0ms	16×	body	256	valid
1.0ms	14×	body	128	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	72	12
1	72	12

prune2.0ms (0%)

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

59.5b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (tan.f64 x))
3.4b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite147.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

59.0b

Rules

43×	`add-sqr-sqrt_binary64_782`
36×	`times-frac_binary64_766`
35×	`*-un-lft-identity_binary64_760`
19×	`add-cube-cbrt_binary64_795`
14×	`cancel-sign-sub-inv_binary64_726`
9×	`difference-of-squares_binary64_729`
7×	`distribute-lft-out--_binary64_712`
6×	`add-exp-log_binary64_798` `div-inv_binary64_757`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
3×	`pow1_binary64_821` `associate-/l_binary64_705` `associate-/r_binary64_704`
2×	`tan-quot_binary64_919` `associate-/r/_binary64_706` `div-exp_binary64_811`
1×	`diff-log_binary64_852` `frac-sub_binary64_769` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `inv-pow_binary64_845` `pow-flip_binary64_834` `1-exp_binary64_804` `rec-exp_binary64_810` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759`

Counts

2 → 74

Calls

2 calls:

17.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
4.0ms	(/.f64 1 (tan.f64 x))

Compiler

Compiled 1106 to 719 computations (35% saved)

series231.0ms (2%)

Error

0.3b

Counts

2 → 13

Calls

2 calls:

129.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
91.0ms	(/.f64 1 (tan.f64 x))

Compiler

Compiled 293 to 232 computations (20.8% saved)

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4945	1172
1	4945	1172

prune50.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	1	88

Error

0.3b

Counts

88 → 1

Compiler

Compiled 689 to 455 computations (34% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 2/945 (pow.f64 x 5)))
0.1b	(*.f64 2/945 (pow.f64 x 5))
0.2b	(*.f64 1/45 (pow.f64 x 3))
0.3b	(*.f64 1/3 x)

rewrite194.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

27×	`add-sqr-sqrt_binary64_782`
22×	`associate-r_binary64_700`
16×	`add-exp-log_binary64_798`
13×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
10×	`add-cbrt-cube_binary64_796`
9×	`associate-l_binary64_701`
8×	`unswap-sqr_binary64_728` `unpow-prod-down_binary64_839`
7×	`prod-exp_binary64_809`
6×	`pow1_binary64_821` `add-log-exp_binary64_799`
4×	`cube-prod_binary64_788` `sqr-pow_binary64_732`
3×	`cbrt-unprod_binary64_793` `*-commutative_binary64_691`
2×	`pow-to-exp_binary64_829` `pow-exp_binary64_828`
1×	`pow-prod-down_binary64_831` `unpow3_binary64_826` `cube-mult_binary64_790` `sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690`

Counts

4 → 85

Calls

4 calls:

7.0ms	(*.f64 1/45 (pow.f64 x 3))
6.0ms	(*.f64 2/945 (pow.f64 x 5))
5.0ms	(+.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 2/945 (pow.f64 x 5)))
4.0ms	(*.f64 1/3 x)

Compiler

Compiled 1652 to 1334 computations (19.2% saved)

series313.0ms (2.7%)

Error

0.3b

Counts

4 → 15

Calls

4 calls:

164.0ms	(+.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 2/945 (pow.f64 x 5)))
65.0ms	(*.f64 2/945 (pow.f64 x 5))
50.0ms	(*.f64 1/45 (pow.f64 x 3))
27.0ms	(*.f64 1/3 x)

Compiler

Compiled 420 to 363 computations (13.6% saved)

simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4901	1024
1	4901	1024

prune147.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	94	6	100
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	7	101

Error

0.2b

Counts

101 → 7

Compiler

Compiled 1434 to 1154 computations (19.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 2/945 (pow.f64 x 5))
0.2b	(*.f64 1/45 (pow.f64 x 3))
0.3b	(.f64 (sqrt.f64 1/3) (.f64 x (sqrt.f64 1/3)))
0.4b	(*.f64 x (sqrt.f64 1/3))

rewrite221.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

32×	`add-sqr-sqrt_binary64_782`
26×	`associate-r_binary64_700`
21×	`add-exp-log_binary64_798`
16×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
15×	`add-cbrt-cube_binary64_796` `associate-l_binary64_701`
11×	`pow1_binary64_821`
10×	`prod-exp_binary64_809`
9×	`unswap-sqr_binary64_728`
8×	`unpow-prod-down_binary64_839`
7×	`sqrt-prod_binary64_776`
6×	`cbrt-unprod_binary64_793`
4×	`pow-prod-down_binary64_831` `add-log-exp_binary64_799` `*-commutative_binary64_691` `cube-prod_binary64_788` `sqr-pow_binary64_732`
2×	`pow-to-exp_binary64_829` `pow-exp_binary64_828`
1×	`unpow3_binary64_826` `cube-mult_binary64_790`

Counts

4 → 99

Calls

4 calls:

8.0ms	(.f64 (sqrt.f64 1/3) (.f64 x (sqrt.f64 1/3)))
7.0ms	(*.f64 1/45 (pow.f64 x 3))
6.0ms	(*.f64 2/945 (pow.f64 x 5))
6.0ms	(*.f64 x (sqrt.f64 1/3))

Compiler

Compiled 2105 to 1771 computations (15.9% saved)

series241.0ms (2.1%)

Error

0.2b

Counts

4 → 12

Calls

4 calls:

74.0ms	(.f64 (sqrt.f64 1/3) (.f64 x (sqrt.f64 1/3)))
56.0ms	(*.f64 2/945 (pow.f64 x 5))
55.0ms	(*.f64 1/45 (pow.f64 x 3))
50.0ms	(*.f64 x (sqrt.f64 1/3))

Compiler

Compiled 487 to 434 computations (10.9% saved)

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5020	946

prune162.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	107	4	111
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	109	9	118

Error

0.1b

Counts

118 → 9

Compiler

Compiled 1780 to 1486 computations (16.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 2/945 (pow.f64 x 5))
0.2b	(*.f64 1/45 (pow.f64 x 3))
0.3b	(.f64 (sqrt.f64 (sqrt.f64 1/3)) (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)))
0.4b	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))

rewrite302.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`add-sqr-sqrt_binary64_782`
30×	`associate-r_binary64_700`
29×	`add-exp-log_binary64_798`
18×	`add-cube-cbrt_binary64_795` `-un-lft-identity_binary64_760` `associate-l*_binary64_701`
16×	`prod-exp_binary64_809` `unpow-prod-down_binary64_839`
15×	`add-cbrt-cube_binary64_796`
13×	`sqrt-prod_binary64_776`
11×	`unswap-sqr_binary64_728`
6×	`pow1_binary64_821` `cbrt-unprod_binary64_793` `sqr-pow_binary64_732`
4×	`pow-to-exp_binary64_829` `pow-exp_binary64_828` `add-log-exp_binary64_799` `*-commutative_binary64_691` `cube-prod_binary64_788`
1×	`pow-prod-down_binary64_831` `unpow3_binary64_826` `cube-mult_binary64_790`

Counts

4 → 110

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 (sqrt.f64 1/3)) (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)))
9.0ms	(*.f64 1/45 (pow.f64 x 3))
7.0ms	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))
6.0ms	(*.f64 2/945 (pow.f64 x 5))

Compiler

Compiled 2707 to 2335 computations (13.7% saved)

series325.0ms (2.8%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

132.0ms	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))
76.0ms	(.f64 (sqrt.f64 (sqrt.f64 1/3)) (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)))
61.0ms	(*.f64 2/945 (pow.f64 x 5))
49.0ms	(*.f64 1/45 (pow.f64 x 3))

Compiler

Compiled 573 to 517 computations (9.8% saved)

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4907	1193
1	4907	1193

prune197.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	5	2	7
Picked	1	0	1
Done	0	1	1
Total	124	7	131

Error

Counts

131 → 7

Compiler

Compiled 2034 to 1735 computations (14.7% saved)

regimes1.4s (11.8%)

Accuracy

Total 0.4b remaining (95.5%)

Threshold costs 0.4b (95.5%)

Compiler

Compiled 14511 to 12668 computations (12.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	42
1	29	42

end2.0ms (0%)

Compiler: Compiled 27 to 25 computations (7.4% saved)

sample7.0s (60.4%)

Algorithm

1×

intervals

Results

5.2s	3995×	body	2048	valid
703.0ms	2053×	body	1024	valid
141.0ms	8000×	pre	128	true
129.0ms	970×	body	512	valid
108.0ms	213×	body	4096	valid
46.0ms	517×	body	256	valid
12.0ms	252×	body	128	valid

Compiler

Compiled 241 to 219 computations (9.1% saved)

Details

analyze150.0ms (1.3%)

sample194.0ms (1.7%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0%)

rewrite147.0ms (1.3%)

series231.0ms (2%)

simplify75.0ms (0.6%)

prune50.0ms (0.4%)

localize10.0ms (0.1%)

rewrite194.0ms (1.7%)

series313.0ms (2.7%)

simplify91.0ms (0.8%)

prune147.0ms (1.3%)

localize12.0ms (0.1%)

rewrite221.0ms (1.9%)

series241.0ms (2.1%)

simplify51.0ms (0.4%)

prune162.0ms (1.4%)

localize16.0ms (0.1%)

rewrite302.0ms (2.6%)

series325.0ms (2.8%)

simplify71.0ms (0.6%)

prune197.0ms (1.7%)

regimes1.4s (11.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end2.0ms (0%)

sample7.0s (60.4%)

Profiling