Details

analyze69.0ms (3%)

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
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
54.6%	42.1%	3.2%	7
63.2%	30.4%	6.3%	8
69.9%	21.5%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
82%	7%	11%	12
83.9%	4.4%	11.8%	13
84.7%	3.5%	11.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms	189×	body	128	valid
2.0ms	22×	body	1024	valid
2.0ms	31×	body	512	valid
1.0ms	14×	body	256	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 19 to 19 computations (0% saved)

simplify140.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	5043	10

prune5.0ms (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 → 2

Compiler

Compiled 39 to 34 computations (12.8% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (-.f64 1 y) (*.f64 x y))

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64`
4×	`associate-+l+_binary64`
3×	`cancel-sign-sub-inv_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `pow1_binary64` `diff-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-+l-_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

1 → 17

Calls

1 calls:

8.0ms

(+.f64 (-.f64 1 y) (*.f64 x y))

series30.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

30.0ms

(+.f64 (-.f64 1 y) (*.f64 x y))

simplify67.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5054	264

prune20.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Merged error: 0b

Counts

22 → 3

Compiler

Compiled 301 to 173 computations (42.5% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
0.4b	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
0.4b	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
0.4b	(.f64 (cbrt.f64 (+.f64 (.f64 y x) (-.f64 1 y))) (cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y))))

rewrite52.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_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` `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 → 87

Calls

4 calls:

20.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y x) (-.f64 1 y))) (cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y))))
7.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
7.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
7.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))

series721.0ms (31.2%)

Counts

4 → 12

Calls

4 calls:

297.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y x) (-.f64 1 y))) (cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y))))
142.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
142.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
140.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))

simplify106.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5229	2351

prune150.0ms (6.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0b

Counts

102 → 3

Compiler

Compiled 3368 to 1962 computations (41.7% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

2.4b	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`associate-+r+_binary64`
6×	`cancel-sign-sub-inv_binary64`
4×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`sub-neg_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 19

Calls

1 calls:

6.0ms

(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

series32.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

32.0ms

(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

simplify66.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5033	237

prune23.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	23	2	25

Merged error: 0b

Counts

25 → 2

Compiler

Compiled 342 to 209 computations (38.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (*.f64 (neg.f64 y) (-.f64 1 x)))
0.0b	(*.f64 (neg.f64 y) (-.f64 1 x))

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
12×	`cancel-sign-sub-inv_binary64`
10×	`add-cube-cbrt_binary64` `associate-l_binary64`
8×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
6×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
2×	`associate-*r/_binary64` `distribute-lft-neg-out_binary64` `difference-of-squares_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `neg-mul-1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 59

Calls

2 calls:

10.0ms	(*.f64 (neg.f64 y) (-.f64 1 x))
5.0ms	(+.f64 1 (*.f64 (neg.f64 y) (-.f64 1 x)))

series87.0ms (3.8%)

Counts

2 → 6

Calls

2 calls:

58.0ms	(*.f64 (neg.f64 y) (-.f64 1 x))
29.0ms	(+.f64 1 (*.f64 (neg.f64 y) (-.f64 1 x)))

simplify65.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5200	608

prune44.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	65	2	67

Merged error: 0b

Counts

67 → 2

Compiler

Compiled 783 to 449 computations (42.7% saved)

regimes18.0ms (0.8%)

Compiler: Compiled 70 to 56 computations (20% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	80	10
1	80	10

end0.0ms (0%)

sample531.0ms (23%)

Algorithm

1×

intervals

Results

161.0ms	6065×	body	128	valid
65.0ms	678×	body	1024	valid
53.0ms	799×	body	512	valid
21.0ms	457×	body	256	valid
2.0ms	70×	body	128	invalid
0.0ms	1×	body	2048	valid

Compiler

Compiled 57 to 48 computations (15.8% saved)

Details

analyze69.0ms (3%)

sample16.0ms (0.7%)

simplify140.0ms (6.1%)

prune5.0ms (0.2%)

localize5.0ms (0.2%)

rewrite9.0ms (0.4%)

series30.0ms (1.3%)

simplify67.0ms (2.9%)

prune20.0ms (0.9%)

localize8.0ms (0.4%)

rewrite52.0ms (2.3%)

series721.0ms (31.2%)

simplify106.0ms (4.6%)

prune150.0ms (6.5%)

localize6.0ms (0.3%)

rewrite8.0ms (0.3%)

series32.0ms (1.4%)

simplify66.0ms (2.9%)

prune23.0ms (1%)

localize5.0ms (0.2%)

rewrite19.0ms (0.8%)

series87.0ms (3.8%)

simplify65.0ms (2.8%)

prune44.0ms (1.9%)

regimes18.0ms (0.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample531.0ms (23%)

Profiling