Details

analyze5.0ms (0.1%)

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)

sample221.0ms (2.4%)

Algorithm

1×

intervals

Results

168.0ms	124×	body	2048	valid
25.0ms	69×	body	1024	valid
9.0ms	256×	pre	128	true
5.0ms	9×	body	4096	valid
5.0ms	34×	body	512	valid
1.0ms	11×	body	256	valid
0.0ms	9×	body	128	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify11.0ms (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

Merged error: 59.8b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (tan.f64 x))
2.9b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
27×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
9×	`difference-of-squares_binary64`
7×	`distribute-lft-out--_binary64`
6×	`add-exp-log_binary64`
5×	`div-inv_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `pow1_binary64` `associate-/l_binary64`
2×	`div-exp_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `flip--_binary64` `pow-flip_binary64` `frac-sub_binary64` `tan-quot_binary64`

Counts

2 → 60

Calls

2 calls:

16.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
4.0ms	(/.f64 1 (tan.f64 x))

series247.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

154.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
93.0ms	(/.f64 1 (tan.f64 x))

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4938	1005
1	4938	1005

prune67.0ms (0.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	1	67

Merged error: 0.3b

Counts

67 → 1

Compiler

Compiled 928 to 583 computations (37.2% saved)

localize11.0ms (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)

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
22×	`associate-r_binary64`
16×	`add-exp-log_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`add-cbrt-cube_binary64`
9×	`associate-l_binary64`
8×	`unswap-sqr_binary64` `unpow-prod-down_binary64`
7×	`prod-exp_binary64`
6×	`add-log-exp_binary64` `pow1_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`cbrt-unprod_binary64` `*-commutative_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

4 → 85

Calls

4 calls:

7.0ms	(*.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)

series329.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

190.0ms	(+.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 2/945 (pow.f64 x 5)))
68.0ms	(*.f64 2/945 (pow.f64 x 5))
46.0ms	(*.f64 1/45 (pow.f64 x 3))
24.0ms	(*.f64 x 1/3)

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4869	1007
1	4869	1007

prune126.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	8	98

Merged error: 0.2b

Counts

98 → 8

Compiler

Compiled 2014 to 1608 computations (20.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
31×	`associate-r_binary64`
21×	`add-exp-log_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
15×	`add-cbrt-cube_binary64`
11×	`pow1_binary64`
10×	`associate-l_binary64` `prod-exp_binary64`
9×	`unswap-sqr_binary64`
8×	`unpow-prod-down_binary64`
7×	`sqrt-prod_binary64`
6×	`cbrt-unprod_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `sqr-pow_binary64` `cube-prod_binary64` `*-commutative_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64`
1×	`unpow3_binary64` `cube-mult_binary64`

Counts

4 → 99

Calls

4 calls:

7.0ms	(.f64 (.f64 x (sqrt.f64 1/3)) (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))

series231.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

79.0ms	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))
58.0ms	(*.f64 2/945 (pow.f64 x 5))
48.0ms	(*.f64 x (sqrt.f64 1/3))
46.0ms	(*.f64 1/45 (pow.f64 x 3))

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4879	954
1	4879	954

prune165.0ms (1.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	105	6	111
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	107	12	119

Merged error: 0.1b

Counts

119 → 12

Compiler

Compiled 2714 to 2258 computations (16.8% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 2/945 (pow.f64 x 5))
0.1b	(*.f64 1/45 (pow.f64 x 3))
0.2b	(.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 (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`associate-r_binary64`
37×	`add-sqr-sqrt_binary64`
29×	`add-exp-log_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
16×	`unpow-prod-down_binary64` `prod-exp_binary64`
15×	`add-cbrt-cube_binary64`
13×	`sqrt-prod_binary64`
11×	`unswap-sqr_binary64`
10×	`associate-l_binary64`
6×	`pow1_binary64` `cbrt-unprod_binary64` `sqr-pow_binary64`
4×	`pow-to-exp_binary64` `add-log-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 110

Calls

4 calls:

10.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)) (sqrt.f64 (sqrt.f64 1/3)))
10.0ms	(*.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))

series334.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

153.0ms	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))
78.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)) (sqrt.f64 (sqrt.f64 1/3)))
58.0ms	(*.f64 2/945 (pow.f64 x 5))
46.0ms	(*.f64 1/45 (pow.f64 x 3))

simplify86.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4853	1212
1	4853	1212

prune197.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	8	2	10
Picked	1	0	1
Done	0	1	1
Total	128	6	134

Merged error: 0.0b

Counts

134 → 6

Compiler

Compiled 3065 to 2606 computations (15% saved)

regimes20.0ms (0.2%)

Compiler: Compiled 150 to 136 computations (9.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	45
1	28	45

end0.0ms (0%)

sample6.9s (74.1%)

Algorithm

1×

intervals

Results

5.4s	4075×	body	2048	valid
655.0ms	1966×	body	1024	valid
139.0ms	8000×	pre	128	true
131.0ms	971×	body	512	valid
129.0ms	224×	body	4096	valid
42.0ms	510×	body	256	valid
14.0ms	254×	body	128	valid

Compiler

Compiled 215 to 192 computations (10.7% saved)

Details

analyze5.0ms (0.1%)

sample221.0ms (2.4%)

simplify11.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite25.0ms (0.3%)

series247.0ms (2.6%)

simplify63.0ms (0.7%)

prune67.0ms (0.7%)

localize11.0ms (0.1%)

rewrite30.0ms (0.3%)

series329.0ms (3.5%)

simplify50.0ms (0.5%)

prune126.0ms (1.4%)

localize12.0ms (0.1%)

rewrite35.0ms (0.4%)

series231.0ms (2.5%)

simplify75.0ms (0.8%)

prune165.0ms (1.8%)

localize17.0ms (0.2%)

rewrite44.0ms (0.5%)

series334.0ms (3.6%)

simplify86.0ms (0.9%)

prune197.0ms (2.1%)

regimes20.0ms (0.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample6.9s (74.1%)

Profiling