Details

analyze5.0ms (0%)

Algorithm

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)

sample231.0ms (2.2%)

Algorithm

1×

intervals

Results

181.0ms	122×	body	2048	valid
22.0ms	69×	body	1024	valid
9.0ms	256×	pre	128	true
6.0ms	10×	body	4096	valid
5.0ms	36×	body	512	valid
1.0ms	11×	body	256	valid
0.0ms	8×	body	128	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify176.0ms (1.7%)

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

Merged error: 60.0b

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))
2.4b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

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×	`associate-/r_binary64_704` `associate-/l_binary64_705` `pow1_binary64_821`
2×	`associate-/r/_binary64_706` `tan-quot_binary64_919` `div-exp_binary64_811`
1×	`diff-log_binary64_852` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `inv-pow_binary64_845` `frac-sub_binary64_769` `rec-exp_binary64_810` `clear-num_binary64_759` `sub-neg_binary64_753` `1-exp_binary64_804` `flip--_binary64_735` `pow-flip_binary64_834` `flip3--_binary64_764`

Counts

2 → 74

Calls

2 calls:

19.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
5.0ms	(/.f64 1 (tan.f64 x))

series231.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

147.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
84.0ms	(/.f64 1 (tan.f64 x))

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5180	1072

prune72.0ms (0.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	1	81

Merged error: 0.3b

Counts

81 → 1

Compiler

Compiled 1030 to 641 computations (37.8% saved)

localize13.0ms (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))
0.1b	(*.f64 1/45 (pow.f64 x 3))
0.3b	(*.f64 x 1/3)

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

8.0ms	(*.f64 1/45 (pow.f64 x 3))
6.0ms	(*.f64 2/945 (pow.f64 x 5))
6.0ms	(+.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 2/945 (pow.f64 x 5)))
4.0ms	(*.f64 x 1/3)

series322.0ms (3%)

Counts

4 → 12

Calls

4 calls:

186.0ms	(+.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 2/945 (pow.f64 x 5)))
64.0ms	(*.f64 2/945 (pow.f64 x 5))
49.0ms	(*.f64 1/45 (pow.f64 x 3))
23.0ms	(*.f64 x 1/3)

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5144	1007

prune119.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	91	6	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	7	98

Merged error: 0.2b

Counts

98 → 7

Compiler

Compiled 1991 to 1589 computations (20.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite38.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

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

series236.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

80.0ms	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))
63.0ms	(*.f64 2/945 (pow.f64 x 5))
47.0ms	(*.f64 1/45 (pow.f64 x 3))
46.0ms	(*.f64 x (sqrt.f64 1/3))

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4879	954
1	4879	954

prune169.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	105	6	111
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	108	10	118

Merged error: 0.1b

Counts

118 → 10

Compiler

Compiled 2673 to 2223 computations (16.8% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite44.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`associate-r_binary64_700`
37×	`add-sqr-sqrt_binary64_782`
29×	`add-exp-log_binary64_798`
18×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
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`
10×	`associate-l_binary64_701`
6×	`sqr-pow_binary64_732` `cbrt-unprod_binary64_793` `pow1_binary64_821`
4×	`add-log-exp_binary64_799` `pow-exp_binary64_828` `pow-to-exp_binary64_829` `cube-prod_binary64_788` `*-commutative_binary64_691`
1×	`cube-mult_binary64_790` `unpow3_binary64_826` `pow-prod-down_binary64_831`

Counts

4 → 110

Calls

4 calls:

11.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)) (sqrt.f64 (sqrt.f64 1/3)))
8.0ms	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))
8.0ms	(*.f64 1/45 (pow.f64 x 3))
6.0ms	(*.f64 2/945 (pow.f64 x 5))

series359.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

170.0ms	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))
81.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)) (sqrt.f64 (sqrt.f64 1/3)))
60.0ms	(*.f64 2/945 (pow.f64 x 5))
47.0ms	(*.f64 1/45 (pow.f64 x 3))

simplify87.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4853	1212
1	4853	1212

prune204.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	4	4	8
Picked	1	0	1
Done	0	1	1
Total	125	7	132

Merged error: 0.0b

Counts

132 → 7

Compiler

Compiled 3065 to 2606 computations (15% saved)

regimes181.0ms (1.7%)

Compiler: Compiled 1882 to 1597 computations (15.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	22
1	19	22

end0.0ms (0%)

sample7.8s (73.5%)

Algorithm

1×

intervals

Results

5.4s	3997×	body	2048	valid
665.0ms	2030×	body	1024	valid
153.0ms	8000×	pre	128	true
137.0ms	233×	body	4096	valid
132.0ms	987×	body	512	valid
46.0ms	516×	body	256	valid
11.0ms	237×	body	128	valid

Compiler

Compiled 964 to 816 computations (15.4% saved)

Details

analyze5.0ms (0%)

sample231.0ms (2.2%)

simplify176.0ms (1.7%)

prune2.0ms (0%)

localize5.0ms (0%)

rewrite30.0ms (0.3%)

series231.0ms (2.2%)

simplify83.0ms (0.8%)

prune72.0ms (0.7%)

localize13.0ms (0.1%)

rewrite32.0ms (0.3%)

series322.0ms (3%)

simplify53.0ms (0.5%)

prune119.0ms (1.1%)

localize15.0ms (0.1%)

rewrite38.0ms (0.4%)

series236.0ms (2.2%)

simplify76.0ms (0.7%)

prune169.0ms (1.6%)

localize16.0ms (0.2%)

rewrite44.0ms (0.4%)

series359.0ms (3.4%)

simplify87.0ms (0.8%)

prune204.0ms (1.9%)

regimes181.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample7.8s (73.5%)

Profiling