Details

analyze56.0ms (3.6%)

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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample11.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify15.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	72	11
1	72	11

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 14 to 12 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
3×	`associate-/r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 27

Calls

1 calls:

3.0ms

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

series9.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify164.0ms (10.4%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4531	540
1	4531	540

prune21.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0b

Counts

31 → 4

Compiler

Compiled 447 to 102 computations (77.2% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
0.1b	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

rewrite14.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`associate-/r*_binary64`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`associate-/r/_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 103

Calls

2 calls:

6.0ms	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))
3.0ms	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))

series14.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
7.0ms	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

simplify189.0ms (11.9%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (156.0ms)

Iter	Nodes	Cost
0	4564	2346
1	4564	2346

prune52.0ms (3.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	109	4	113

Merged error: 0b

Counts

113 → 4

Compiler

Compiled 1833 to 425 computations (76.8% saved)

localize11.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (fabs.f64 y)) (cbrt.f64 (fabs.f64 y)))
0.6b	(cbrt.f64 (fabs.f64 y))
0.6b	(cbrt.f64 (fabs.f64 y))
0.6b	(cbrt.f64 (fabs.f64 y))

rewrite12.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 (fabs.f64 y)) (cbrt.f64 (fabs.f64 y)))
1.0ms	(cbrt.f64 (fabs.f64 y))
1.0ms	(cbrt.f64 (fabs.f64 y))
1.0ms	(cbrt.f64 (fabs.f64 y))

series79.0ms (5%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(*.f64 (cbrt.f64 (fabs.f64 y)) (cbrt.f64 (fabs.f64 y)))
20.0ms	(cbrt.f64 (fabs.f64 y))
18.0ms	(cbrt.f64 (fabs.f64 y))
17.0ms	(cbrt.f64 (fabs.f64 y))

simplify100.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5591	717

prune38.0ms (2.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	85	4	89

Merged error: 0b

Counts

89 → 4

Compiler

Compiled 2165 to 353 computations (83.7% saved)

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
0.2b	(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
14.3b	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))

rewrite17.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`times-frac_binary64`
41×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
32×	`cbrt-prod_binary64`
26×	`unpow-prod-down_binary64` `cube-prod_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`div-inv_binary64`
4×	`pow1_binary64`
3×	`pow-unpow_binary64` `associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64`
2×	`cbrt-undiv_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 115

Calls

3 calls:

5.0ms	(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
5.0ms	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))
3.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

series34.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

20.0ms	(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
7.0ms	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))
7.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

simplify57.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5367	2434

prune57.0ms (3.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	124	4	128

Merged error: 0b

Counts

128 → 4

Compiler

Compiled 1950 to 563 computations (71.1% saved)

regimes73.0ms (4.6%)

Compiler: Compiled 165 to 122 computations (26.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	11
1	17	11

end0.0ms (0%)

sample531.0ms (33.6%)

Algorithm

1×

intervals

Results

166.0ms	8000×	body	80	valid
4.0ms	197×	body	80	invalid

Compiler

Compiled 64 to 49 computations (23.4% saved)

Details

analyze56.0ms (3.6%)

sample11.0ms (0.7%)

simplify15.0ms (1%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

rewrite4.0ms (0.2%)

series9.0ms (0.6%)

simplify164.0ms (10.4%)

prune21.0ms (1.3%)

localize6.0ms (0.4%)

rewrite14.0ms (0.9%)

series14.0ms (0.9%)

simplify189.0ms (11.9%)

prune52.0ms (3.3%)

localize11.0ms (0.7%)

rewrite12.0ms (0.7%)

series79.0ms (5%)

simplify100.0ms (6.3%)

prune38.0ms (2.4%)

localize8.0ms (0.5%)

rewrite17.0ms (1.1%)

series34.0ms (2.1%)

simplify57.0ms (3.6%)

prune57.0ms (3.6%)

regimes73.0ms (4.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample531.0ms (33.6%)

Profiling