Details

analyze24.0ms (1.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample12.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms	251×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	1×	body	640	valid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify21.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	160	12
1	160	12

prune3.0ms (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 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

series5.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

simplify74.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5044	259

prune16.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

Compiler

Compiled 260 to 130 computations (50% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

rewrite36.0ms (1.7%)

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:

15.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
6.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
6.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
6.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

series90.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

28.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
21.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
21.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
20.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

simplify96.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4904	3175
1	4904	3175

prune117.0ms (5.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	105	5	110

Merged error: 0b

Counts

110 → 5

Compiler

Compiled 4202 to 2226 computations (47% saved)

localize18.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 6))
1.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 6)

rewrite31.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`cbrt-prod_binary64`
22×	`*-un-lft-identity_binary64`
20×	`unpow-prod-down_binary64`
14×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`flip3-+_binary64` `pow-pow_binary64` `sqr-pow_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64`

Counts

4 → 75

Calls

4 calls:

9.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 6)
8.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 6))
6.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
6.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

series126.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

54.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 6)
29.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 6))
22.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
22.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

simplify104.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4895	2461
1	4895	2461

prune134.0ms (6.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	87	5	92

Merged error: 0b

Counts

92 → 5

Compiler

Compiled 4712 to 2661 computations (43.5% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

rewrite42.0ms (1.9%)

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:

15.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
6.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
6.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

series100.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
23.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
22.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
21.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

simplify161.0ms (7.4%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4904	3175
1	4904	3175

prune170.0ms (7.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

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

Merged error: 0b

Counts

112 → 5

Compiler

Compiled 5377 to 2909 computations (45.9% saved)

regimes89.0ms (4.1%)

Compiler: Compiled 458 to 295 computations (35.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	12
1	19	12

end0.0ms (0%)

sample652.0ms (30.2%)

Algorithm

1×

intervals

Results

176.0ms	7682×	body	80	valid
12.0ms	112×	body	1280	valid
7.0ms	87×	body	640	valid
5.0ms	42×	body	2560	valid
4.0ms	56×	body	320	valid
1.0ms	21×	body	160	valid

Compiler

Compiled 163 to 108 computations (33.7% saved)

Details

analyze24.0ms (1.1%)

sample12.0ms (0.5%)

simplify21.0ms (1%)

prune3.0ms (0.2%)

localize5.0ms (0.2%)

rewrite7.0ms (0.3%)

series5.0ms (0.2%)

simplify74.0ms (3.4%)

prune16.0ms (0.7%)

localize9.0ms (0.4%)

rewrite36.0ms (1.7%)

series90.0ms (4.2%)

simplify96.0ms (4.5%)

prune117.0ms (5.4%)

localize18.0ms (0.8%)

rewrite31.0ms (1.4%)

series126.0ms (5.9%)

simplify104.0ms (4.8%)

prune134.0ms (6.2%)

localize12.0ms (0.5%)

rewrite42.0ms (1.9%)

series100.0ms (4.6%)

simplify161.0ms (7.4%)

prune170.0ms (7.9%)

regimes89.0ms (4.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample652.0ms (30.2%)

Profiling