Details

analyze692.0ms (14.6%)

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
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample30.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	80	valid
4.0ms	106×	body	80	invalid

Compiler

Compiled 27 to 27 computations (0% saved)

simplify96.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	666	19
1	666	19

prune3.0ms (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

Merged error: 6.8b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
6.4b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`sub-neg_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `*-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
2×	`associate--r+_binary64` `flip3--_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `insert-posit16` `flip--_binary64`
1×	`diff-log_binary64` `associate-l_binary64` `difference-of-squares_binary64` `*-commutative_binary64`

Counts

2 → 38

Calls

2 calls:

11.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
6.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))

series235.0ms (4.9%)

Counts

2 → 6

Calls

2 calls:

123.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
112.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

simplify111.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5013	798

prune51.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	39	5	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	6	45

Merged error: 2.0b

Counts

45 → 6

Compiler

Compiled 909 to 391 computations (57% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.8b	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t))))
6.4b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
6.4b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
6.4b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite43.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-r_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`sub-neg_binary64` `associate-*r/_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `insert-posit16` `flip--_binary64`
3×	`distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `cbrt-prod_binary64` `*-commutative_binary64`
2×	`cbrt-div_binary64`
1×	`pow1/3_binary64`

Counts

4 → 86

Calls

4 calls:

12.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
12.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
12.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
5.0ms	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t))))

series579.0ms (12.2%)

Counts

4 → 12

Calls

4 calls:

256.0ms	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t))))
111.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
109.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
103.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

simplify121.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4909	1668
1	4909	1668

prune174.0ms (3.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	97	7	104

Merged error: 2.0b

Counts

104 → 7

Compiler

Compiled 4948 to 2032 computations (58.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
0.2b	(.f64 (.f64 (.f64 y 4) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
6.4b	(sqrt.f64 (-.f64 (*.f64 z z) t))
6.4b	(sqrt.f64 (-.f64 (*.f64 z z) t))

rewrite49.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`pow1_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
16×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
14×	`associate-r_binary64`
10×	`-un-lft-identity_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64`
9×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64`
4×	`add-log-exp_binary64` `difference-of-squares_binary64` `insert-posit16` `frac-times_binary64`
2×	`pow1/2_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 93

Calls

4 calls:

21.0ms	(.f64 (.f64 (.f64 y 4) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
13.0ms	(.f64 (.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
6.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
6.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

series323.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

113.0ms	(.f64 (.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
101.0ms	(.f64 (.f64 (.f64 y 4) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
56.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
53.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

simplify189.0ms (4%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (156.0ms)

Iter	Nodes	Cost
0	4933	1759
1	4933	1759

prune104.0ms (2.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	104	8	112

Merged error: 2.0b

Counts

112 → 8

Compiler

Compiled 2760 to 903 computations (67.3% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 z z) t))))
6.4b	(sqrt.f64 (-.f64 (*.f64 z z) t))
6.4b	(sqrt.f64 (-.f64 (*.f64 z z) t))
6.4b	(sqrt.f64 (-.f64 (*.f64 z z) t))

rewrite49.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`sqrt-prod_binary64`
59×	`add-sqr-sqrt_binary64`
35×	`sqrt-pow1_binary64`
30×	`pow1_binary64` `sqrt-div_binary64`
19×	`*-un-lft-identity_binary64` `pow1/2_binary64` `add-cube-cbrt_binary64`
16×	`swap-sqr_binary64`
10×	`associate-r_binary64` `associate-l_binary64`
9×	`flip3--_binary64` `pow-prod-up_binary64` `unswap-sqr_binary64` `flip--_binary64`
7×	`difference-of-squares_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow-prod-down_binary64` `pow-sqr_binary64`
4×	`add-log-exp_binary64` `insert-posit16` `frac-times_binary64`
3×	`rem-sqrt-square_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 138

Calls

4 calls:

25.0ms	(.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 z z) t))))
6.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
6.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
6.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

series229.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

64.0ms	(.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 z z) t))))
61.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
53.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
51.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

simplify159.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4880	2163
1	4880	2163

prune151.0ms (3.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	150	8	158

Merged error: 2.0b

Counts

158 → 8

Compiler

Compiled 4786 to 1238 computations (74.1% saved)

regimes319.0ms (6.7%)

Compiler: Compiled 2773 to 1767 computations (36.3% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	297	54
1	297	54

end0.0ms (0%)

sample962.0ms (20.2%)

Algorithm

1×

intervals

Results

328.0ms	8000×	body	80	valid
118.0ms	3047×	body	80	invalid

Compiler

Compiled 279 to 180 computations (35.5% saved)

Details

analyze692.0ms (14.6%)

sample30.0ms (0.6%)

simplify96.0ms (2%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite18.0ms (0.4%)

series235.0ms (4.9%)

simplify111.0ms (2.3%)

prune51.0ms (1.1%)

localize14.0ms (0.3%)

rewrite43.0ms (0.9%)

series579.0ms (12.2%)

simplify121.0ms (2.6%)

prune174.0ms (3.7%)

localize11.0ms (0.2%)

rewrite49.0ms (1%)

series323.0ms (6.8%)

simplify189.0ms (4%)

prune104.0ms (2.2%)

localize14.0ms (0.3%)

rewrite49.0ms (1%)

series229.0ms (4.8%)

simplify159.0ms (3.3%)

prune151.0ms (3.2%)

regimes319.0ms (6.7%)

bsearch1.0ms (0%)

simplify14.0ms (0.3%)

end0.0ms (0%)

sample962.0ms (20.2%)

Profiling