Details

analyze679.0ms (22%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample25.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
4.0ms	90×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify246.0ms (8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	1028	13
1	1028	13

prune5.0ms (0.2%)

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: 0.0b

Counts

2 → 2

Compiler

Compiled 57 to 46 computations (19.3% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_3863`
6×	`associate-r_binary64_3803`
5×	`add-sqr-sqrt_binary64_3885`
3×	`distribute-lft-out_binary64_3814` `add-cube-cbrt_binary64_3898` `pow1_binary64_3924` `add-cbrt-cube_binary64_3899` `distribute-lft-out--_binary64_3815` `associate-l_binary64_3804` `add-exp-log_binary64_3901`
2×	`associate-*r/_binary64_3805`
1×	`prod-exp_binary64_3912` `add-log-exp_binary64_3902` `cbrt-unprod_binary64_3896` `unswap-sqr_binary64_3831` `distribute-rgt-in_binary64_3813` `flip3-+_binary64_3866` `*-commutative_binary64_3794` `distribute-lft-in_binary64_3812` `pow-prod-down_binary64_3934` `flip-+_binary64_3837`

Counts

1 → 25

Calls

1 calls:

13.0ms

(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

series82.0ms (2.7%)

Counts

1 → 3

Calls

1 calls:

82.0ms

(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

simplify66.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4788	394
1	4788	394

prune38.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	27	3	30

Merged error: 0.0b

Counts

30 → 3

Compiler

Compiled 722 to 284 computations (60.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 d1 d4) (.f64 d1 (-.f64 (-.f64 d2 d3) d1)))
0.0b	(*.f64 d1 (-.f64 (-.f64 d2 d3) d1))

rewrite30.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cancel-sign-sub-inv_binary64_3829`
17×	`*-un-lft-identity_binary64_3863`
16×	`add-sqr-sqrt_binary64_3885` `associate-+r+_binary64_3795` `distribute-rgt-in_binary64_3813` `distribute-lft-in_binary64_3812` `associate--l+_binary64_3800`
12×	`add-cube-cbrt_binary64_3898`
8×	`sub-neg_binary64_3856`
6×	`associate-r_binary64_3803`
4×	`add-log-exp_binary64_3902` `pow1_binary64_3924` `add-cbrt-cube_binary64_3899` `add-exp-log_binary64_3901`
3×	`distribute-lft-out--_binary64_3815` `associate-l_binary64_3804`
2×	`associate-*r/_binary64_3805`
1×	`prod-exp_binary64_3912` `flip--_binary64_3838` `cbrt-unprod_binary64_3896` `flip3--_binary64_3867` `unswap-sqr_binary64_3831` `distribute-lft-out_binary64_3814` `flip3-+_binary64_3866` `*-commutative_binary64_3794` `sum-log_binary64_3954` `+-commutative_binary64_3793` `difference-of-squares_binary64_3832` `pow-prod-down_binary64_3934` `flip-+_binary64_3837`

Counts

2 → 67

Calls

2 calls:

14.0ms	(*.f64 d1 (-.f64 (-.f64 d2 d3) d1))
9.0ms	(+.f64 (.f64 d1 d4) (.f64 d1 (-.f64 (-.f64 d2 d3) d1)))

series146.0ms (4.7%)

Counts

2 → 6

Calls

2 calls:

98.0ms	(+.f64 (.f64 d1 d4) (.f64 d1 (-.f64 (-.f64 d2 d3) d1)))
48.0ms	(*.f64 d1 (-.f64 (-.f64 d2 d3) d1))

simplify71.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5020	932

prune65.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	72	4	76

Merged error: 0.0b

Counts

76 → 4

Compiler

Compiled 1414 to 399 computations (71.8% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 d1 (+.f64 d2 d4)) (.f64 (-.f64 (neg.f64 d3) d1) d1))
0.0b	(*.f64 d1 (+.f64 d2 d4))
0.0b	(*.f64 (-.f64 (neg.f64 d3) d1) d1)

rewrite32.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_3885` `*-un-lft-identity_binary64_3863`
9×	`associate-l_binary64_3804`
7×	`associate-r_binary64_3803` `add-cube-cbrt_binary64_3898` `pow1_binary64_3924` `add-cbrt-cube_binary64_3899` `add-exp-log_binary64_3901`
6×	`associate-l/_binary64_3806` `associate-r/_binary64_3805`
5×	`add-log-exp_binary64_3902`
4×	`flip3-+_binary64_3866` `frac-add_binary64_3871` `flip-+_binary64_3837`
3×	`flip--_binary64_3838` `flip3--_binary64_3867`
2×	`prod-exp_binary64_3912` `cbrt-unprod_binary64_3896` `associate-+l+_binary64_3796` `unswap-sqr_binary64_3831` `distribute-rgt-in_binary64_3813` `*-commutative_binary64_3794` `distribute-lft-in_binary64_3812` `distribute-lft-out--_binary64_3815` `pow-prod-down_binary64_3934`
1×	`distribute-lft-out_binary64_3814` `sum-log_binary64_3954` `+-commutative_binary64_3793` `difference-of-squares_binary64_3832` `distribute-rgt-neg-in_binary64_3821`

Counts

3 → 63

Calls

3 calls:

10.0ms	(*.f64 (-.f64 (neg.f64 d3) d1) d1)
10.0ms	(+.f64 (.f64 d1 (+.f64 d2 d4)) (.f64 (-.f64 (neg.f64 d3) d1) d1))
7.0ms	(*.f64 d1 (+.f64 d2 d4))

series210.0ms (6.8%)

Counts

3 → 9

Calls

3 calls:

95.0ms	(+.f64 (.f64 d1 (+.f64 d2 d4)) (.f64 (-.f64 (neg.f64 d3) d1) d1))
64.0ms	(*.f64 (-.f64 (neg.f64 d3) d1) d1)
50.0ms	(*.f64 d1 (+.f64 d2 d4))

simplify50.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4822	1088
1	4822	1088

prune57.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	72	4	76

Merged error: 0.0b

Counts

76 → 4

Compiler

Compiled 1399 to 345 computations (75.3% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 d1 d2) (.f64 d1 d3))
0.0b	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
0.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))

rewrite25.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_3902`
6×	`diff-log_binary64_3955`
4×	`add-sqr-sqrt_binary64_3885` `sum-log_binary64_3954`
3×	`cancel-sign-sub-inv_binary64_3829` `add-cube-cbrt_binary64_3898` `pow1_binary64_3924` `add-cbrt-cube_binary64_3899` `sub-neg_binary64_3856` `*-un-lft-identity_binary64_3863` `add-exp-log_binary64_3901`
2×	`flip--_binary64_3838` `associate-+l+_binary64_3796` `flip3--_binary64_3867` `associate-+l-_binary64_3798`
1×	`flip3-+_binary64_3866` `associate--l-_binary64_3801` `distribute-lft-out--_binary64_3815` `+-commutative_binary64_3793` `difference-of-squares_binary64_3832` `associate--l+_binary64_3800` `flip-+_binary64_3837`

Counts

3 → 45

Calls

3 calls:

10.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
7.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
4.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

series231.0ms (7.5%)

Counts

3 → 9

Calls

3 calls:

97.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
70.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
64.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

simplify85.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4913	777
1	4913	777

prune48.0ms (1.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	54	4	58

Merged error: 0.0b

Counts

58 → 4

Compiler

Compiled 1102 to 326 computations (70.4% saved)

regimes60.0ms (1.9%)

Compiler: Compiled 333 to 254 computations (23.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	16
1	31	16

end0.0ms (0%)

sample792.0ms (25.6%)

Algorithm

1×

intervals

Results

322.0ms	8000×	body	128	valid
94.0ms	2306×	body	128	invalid

Compiler

Compiled 95 to 73 computations (23.2% saved)

Details

analyze679.0ms (22%)

sample25.0ms (0.8%)

simplify246.0ms (8%)

prune5.0ms (0.2%)

localize6.0ms (0.2%)

rewrite15.0ms (0.5%)

series82.0ms (2.7%)

simplify66.0ms (2.1%)

prune38.0ms (1.2%)

localize7.0ms (0.2%)

rewrite30.0ms (1%)

series146.0ms (4.7%)

simplify71.0ms (2.3%)

prune65.0ms (2.1%)

localize8.0ms (0.3%)

rewrite32.0ms (1%)

series210.0ms (6.8%)

simplify50.0ms (1.6%)

prune57.0ms (1.8%)

localize10.0ms (0.3%)

rewrite25.0ms (0.8%)

series231.0ms (7.5%)

simplify85.0ms (2.8%)

prune48.0ms (1.5%)

regimes60.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample792.0ms (25.6%)

Profiling