Details

analyze451.0ms (16.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
46.8%	44.5%	8.7%	10
51.5%	39%	9.5%	11
57.3%	32.6%	10.1%	12
63.8%	21.6%	14.7%	13
66.2%	18.7%	15.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample21.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	20×	body	128	invalid

Compiler

Compiled 11 to 14 computations (-27.3% saved)

simplify167.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

prune4.0ms (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)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) z)

rewrite18.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`associate-l_binary64`
3×	`pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 21

Calls

1 calls:

9.0ms

(*.f64 (+.f64 x y) z)

series64.0ms (2.4%)

Counts

1 → 3

Calls

1 calls:

64.0ms

(*.f64 (+.f64 x y) z)

simplify87.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4923	223
1	4923	223

prune20.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Merged error: 0b

Counts

25 → 4

Compiler

Compiled 255 to 86 computations (66.3% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 x y) z)
0.2b	(.f64 (sqrt.f64 (.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)))
4.2b	(sqrt.f64 (*.f64 (+.f64 x y) z))
4.2b	(sqrt.f64 (*.f64 (+.f64 x y) z))

rewrite46.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1_binary64`
32×	`sqrt-pow1_binary64`
23×	`pow-prod-down_binary64`
20×	`associate-*l/_binary64`
16×	`sqrt-div_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `pow1/2_binary64`
10×	`pow-prod-up_binary64` `add-cube-cbrt_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
7×	`associate-r_binary64`
6×	`pow-sqr_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `frac-times_binary64`
2×	`cbrt-unprod_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `-commutative_binary64`
1×	`distribute-lft-out_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `pow2_binary64`

Counts

4 → 104

Calls

4 calls:

20.0ms	(.f64 (sqrt.f64 (.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)))
7.0ms	(*.f64 (+.f64 x y) z)
5.0ms	(sqrt.f64 (*.f64 (+.f64 x y) z))
5.0ms	(sqrt.f64 (*.f64 (+.f64 x y) z))

series431.0ms (15.8%)

Counts

4 → 12

Calls

4 calls:

169.0ms	(sqrt.f64 (*.f64 (+.f64 x y) z))
167.0ms	(sqrt.f64 (*.f64 (+.f64 x y) z))
50.0ms	(.f64 (sqrt.f64 (.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)))
45.0ms	(*.f64 (+.f64 x y) z)

simplify83.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4873	1252
1	4873	1252

prune78.0ms (2.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	116	4	120

Merged error: 0b

Counts

120 → 4

Compiler

Compiled 1721 to 401 computations (76.7% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 x y) z)
0.3b	(pow.f64 (*.f64 (+.f64 x y) z) 3)
30.3b	(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3))

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-*l/_binary64`
4×	`associate-l_binary64` `cube-div_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `add-log-exp_binary64` `associate-r_binary64` `flip-+_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

3 → 64

Calls

3 calls:

7.0ms	(pow.f64 (*.f64 (+.f64 x y) z) 3)
7.0ms	(*.f64 (+.f64 x y) z)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3))

series184.0ms (6.7%)

Counts

3 → 9

Calls

3 calls:

86.0ms	(pow.f64 (*.f64 (+.f64 x y) z) 3)
50.0ms	(*.f64 (+.f64 x y) z)
47.0ms	(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3))

simplify44.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4958	847
1	4958	847

prune49.0ms (1.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	73	4	77

Merged error: 0b

Counts

77 → 4

Compiler

Compiled 905 to 363 computations (59.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 z (sqrt.f64 (+.f64 x y)))
0.1b	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 z (sqrt.f64 (+.f64 x y))))

rewrite26.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`sqrt-div_binary64`
11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`associate-r/_binary64` `associate-l*_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
8×	`associate-r_binary64`
7×	`flip3-+_binary64` `add-cube-cbrt_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`add-log-exp_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 55

Calls

2 calls:

13.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 z (sqrt.f64 (+.f64 x y))))
8.0ms	(*.f64 z (sqrt.f64 (+.f64 x y)))

series192.0ms (7%)

Counts

2 → 6

Calls

2 calls:

98.0ms	(*.f64 z (sqrt.f64 (+.f64 x y)))
94.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 z (sqrt.f64 (+.f64 x y))))

simplify41.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5073	923

prune42.0ms (1.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	61	4	65

Merged error: 0b

Counts

65 → 4

Compiler

Compiled 980 to 244 computations (75.1% saved)

regimes86.0ms (3.1%)

Compiler: Compiled 477 to 346 computations (27.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample542.0ms (19.9%)

Algorithm

1×

intervals

Results

176.0ms	8000×	body	128	valid
16.0ms	636×	body	128	invalid

Compiler

Compiled 102 to 76 computations (25.5% saved)

Details

analyze451.0ms (16.5%)

sample21.0ms (0.8%)

simplify167.0ms (6.1%)

prune4.0ms (0.1%)

localize6.0ms (0.2%)

rewrite18.0ms (0.7%)

series64.0ms (2.4%)

simplify87.0ms (3.2%)

prune20.0ms (0.7%)

localize6.0ms (0.2%)

rewrite46.0ms (1.7%)

series431.0ms (15.8%)

simplify83.0ms (3.1%)

prune78.0ms (2.8%)

localize7.0ms (0.3%)

rewrite21.0ms (0.8%)

series184.0ms (6.7%)

simplify44.0ms (1.6%)

prune49.0ms (1.8%)

localize6.0ms (0.2%)

rewrite26.0ms (1%)

series192.0ms (7%)

simplify41.0ms (1.5%)

prune42.0ms (1.6%)

regimes86.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample542.0ms (19.9%)

Profiling