Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.6%	0.2%	0.2%	11
99.6%	0.1%	0.3%	12
99.6%	0%	0.3%	13
99.6%	0%	0.4%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample8.0ms (0.6%)

Algorithm

1×

intervals

Results

4.0ms	253×	body	128	valid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune2.0ms (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: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (*.f64 x 116) 16)

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`

Counts

1 → 14

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x 116) 16)

series46.0ms (3%)

Counts

1 → 3

Calls

1 calls:

45.0ms

(-.f64 (*.f64 x 116) 16)

simplify65.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4820	149
1	4820	149

prune18.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	2	18

Merged error: 0.0b

Counts

18 → 2

Compiler

Compiled 172 to 147 computations (14.5% saved)

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 x 116) 16)
0.0b	(sqrt.f64 (-.f64 (*.f64 x 116) 16))
0.0b	(sqrt.f64 (-.f64 (*.f64 x 116) 16))
0.1b	(.f64 (sqrt.f64 (-.f64 (.f64 x 116) 16)) (sqrt.f64 (-.f64 (*.f64 x 116) 16)))

rewrite36.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`swap-sqr_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `rem-sqrt-square_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `cancel-sign-sub-inv_binary64` `pow-sqr_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `sqr-abs_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 102

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x 116) 16)) (sqrt.f64 (-.f64 (*.f64 x 116) 16)))
4.0ms	(sqrt.f64 (-.f64 (*.f64 x 116) 16))
4.0ms	(-.f64 (*.f64 x 116) 16)
4.0ms	(sqrt.f64 (-.f64 (*.f64 x 116) 16))

series167.0ms (11.1%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x 116) 16)) (sqrt.f64 (-.f64 (*.f64 x 116) 16)))
47.0ms	(-.f64 (*.f64 x 116) 16)
35.0ms	(sqrt.f64 (-.f64 (*.f64 x 116) 16))
35.0ms	(sqrt.f64 (-.f64 (*.f64 x 116) 16))

simplify83.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4894	1554
1	4894	1554

prune115.0ms (7.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0.0b

Counts

116 → 3

Compiler

Compiled 1929 to 1632 computations (15.4% saved)

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 (*.f64 x 116) 16))
0.0b	(sqrt.f64 (-.f64 (*.f64 x 116) 16))
0.1b	(.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x 116) 16))) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 x 116) 16))) 3))
0.2b	(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 x 116) 16))) 3)

rewrite57.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`sqrt-prod_binary64`
70×	`add-sqr-sqrt_binary64`
32×	`sqrt-div_binary64`
27×	`unpow-prod-down_binary64` `cube-prod_binary64`
24×	`associate-r_binary64` `unswap-sqr_binary64`
23×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
9×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
8×	`cube-div_binary64`
7×	`add-cbrt-cube_binary64`
6×	`sqrt-pow1_binary64`
5×	`pow-pow_binary64` `sqr-pow_binary64`
4×	`add-log-exp_binary64` `pow1/2_binary64` `frac-times_binary64`
3×	`pow-unpow_binary64` `prod-exp_binary64`
2×	`pow-to-exp_binary64` `associate-r/_binary64` `rem-sqrt-square_binary64` `pow-exp_binary64` `unpow3_binary64` `associate-l/_binary64` `cube-mult_binary64`
1×	`cbrt-unprod_binary64` `sqrt-pow2_binary64` `pow-prod-up_binary64` `rem-cube-cbrt_binary64` `*-commutative_binary64`

Counts

4 → 150

Calls

4 calls:

23.0ms	(.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x 116) 16))) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 x 116) 16))) 3))
8.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 x 116) 16))) 3)
5.0ms	(sqrt.f64 (-.f64 (*.f64 x 116) 16))
4.0ms	(sqrt.f64 (-.f64 (*.f64 x 116) 16))

series240.0ms (15.9%)

Counts

4 → 12

Calls

4 calls:

125.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 x 116) 16))) 3)
51.0ms	(.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x 116) 16))) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 x 116) 16))) 3))
32.0ms	(sqrt.f64 (-.f64 (*.f64 x 116) 16))
32.0ms	(sqrt.f64 (-.f64 (*.f64 x 116) 16))

simplify77.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4936	3105
1	4936	3105

prune218.0ms (14.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	162	3	165

Merged error: 0.0b

Counts

165 → 3

Compiler

Compiled 3540 to 3065 computations (13.4% saved)

regimes33.0ms (2.2%)

Compiler: Compiled 123 to 117 computations (4.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms (0%)

sample306.0ms (20.3%)

Algorithm

1×

intervals

Results

131.0ms	7940×	body	128	valid
2.0ms	31×	body	1024	valid
1.0ms	19×	body	512	valid
0.0ms	10×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 46 to 45 computations (2.2% saved)

Details

analyze3.0ms (0.2%)

sample8.0ms (0.6%)

simplify7.0ms (0.5%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite5.0ms (0.3%)

series46.0ms (3%)

simplify65.0ms (4.3%)

prune18.0ms (1.2%)

localize8.0ms (0.5%)

rewrite36.0ms (2.4%)

series167.0ms (11.1%)

simplify83.0ms (5.5%)

prune115.0ms (7.6%)

localize8.0ms (0.5%)

rewrite57.0ms (3.8%)

series240.0ms (15.9%)

simplify77.0ms (5.1%)

prune218.0ms (14.5%)

regimes33.0ms (2.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample306.0ms (20.3%)

Profiling