Details

analyze773.0ms (15.7%)

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)

sample33.0ms (0.7%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
1.0ms	13×	body	128	invalid

Compiler

Compiled 11 to 14 computations (-27.3% saved)

simplify171.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

prune6.0ms (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)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite18.0ms (0.4%)

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:

14.0ms

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

series57.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify113.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5403	223

prune34.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	5	25

Merged error: 0b

Counts

25 → 5

Compiler

Compiled 272 to 93 computations (65.8% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))

rewrite50.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

19.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 x y))
5.0ms	(cbrt.f64 (+.f64 x y))
5.0ms	(cbrt.f64 (+.f64 x y))

series924.0ms (18.8%)

Counts

4 → 12

Calls

4 calls:

285.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
215.0ms	(cbrt.f64 (+.f64 x y))
212.0ms	(cbrt.f64 (+.f64 x y))
212.0ms	(cbrt.f64 (+.f64 x y))

simplify112.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5515	1508

prune153.0ms (3.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	107	5	112

Merged error: 0b

Counts

112 → 5

Compiler

Compiled 2301 to 568 computations (75.3% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite58.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
18×	`sqrt-div_binary64`
17×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
13×	`pow1_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-r/_binary64` `associate-l*_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`associate-r_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

23.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 z (sqrt.f64 (+.f64 x y))))
13.0ms	(*.f64 z (sqrt.f64 (+.f64 x y)))
6.0ms	(sqrt.f64 (+.f64 x y))
5.0ms	(sqrt.f64 (+.f64 x y))

series256.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

93.0ms	(*.f64 z (sqrt.f64 (+.f64 x y)))
85.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 z (sqrt.f64 (+.f64 x y))))
39.0ms	(sqrt.f64 (+.f64 x y))
38.0ms	(sqrt.f64 (+.f64 x y))

simplify140.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4953	1395
1	4953	1395

prune123.0ms (2.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	99	5	104

Merged error: 0b

Counts

104 → 5

Compiler

Compiled 1642 to 414 computations (74.8% saved)

localize12.0ms (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)))
3.0b	(sqrt.f64 (*.f64 (+.f64 x y) z))
3.0b	(sqrt.f64 (*.f64 (+.f64 x y) z))

rewrite75.0ms (1.5%)

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:

28.0ms	(.f64 (sqrt.f64 (.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)))
13.0ms	(*.f64 (+.f64 x y) z)
9.0ms	(sqrt.f64 (*.f64 (+.f64 x y) z))
9.0ms	(sqrt.f64 (*.f64 (+.f64 x y) z))

series446.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

197.0ms	(sqrt.f64 (*.f64 (+.f64 x y) z))
156.0ms	(sqrt.f64 (*.f64 (+.f64 x y) z))
47.0ms	(.f64 (sqrt.f64 (.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)))
45.0ms	(*.f64 (+.f64 x y) z)

simplify108.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4967	1283
1	4967	1283

prune124.0ms (2.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	116	5	121

Merged error: 0b

Counts

121 → 5

Compiler

Compiled 1721 to 384 computations (77.7% saved)

regimes160.0ms (3.3%)

Compiler: Compiled 502 to 351 computations (30.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample920.0ms (18.7%)

Algorithm

1×

intervals

Results

315.0ms	8000×	body	128	valid
25.0ms	598×	body	128	invalid

Compiler

Compiled 107 to 77 computations (28% saved)

Details

analyze773.0ms (15.7%)

sample33.0ms (0.7%)

simplify171.0ms (3.5%)

prune6.0ms (0.1%)

localize11.0ms (0.2%)

rewrite18.0ms (0.4%)

series57.0ms (1.2%)

simplify113.0ms (2.3%)

prune34.0ms (0.7%)

localize15.0ms (0.3%)

rewrite50.0ms (1%)

series924.0ms (18.8%)

simplify112.0ms (2.3%)

prune153.0ms (3.1%)

localize15.0ms (0.3%)

rewrite58.0ms (1.2%)

series256.0ms (5.2%)

simplify140.0ms (2.8%)

prune123.0ms (2.5%)

localize12.0ms (0.2%)

rewrite75.0ms (1.5%)

series446.0ms (9.1%)

simplify108.0ms (2.2%)

prune124.0ms (2.5%)

regimes160.0ms (3.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample920.0ms (18.7%)

Profiling