Details

analyze71.0ms (4%)

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
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample13.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify184.0ms (10.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	346	10
1	346	10

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 → 2

Compiler

Compiled 23 to 19 computations (17.4% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 2 (.f64 x (-.f64 x y)))
0.0b	(*.f64 x (-.f64 x y))

rewrite19.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_15263` `add-exp-log_binary64_15277` `pow1_binary64_15300` `add-cbrt-cube_binary64_15275`
7×	`*-un-lft-identity_binary64_15242`
6×	`sub-neg_binary64_15235` `associate-l_binary64_15185` `associate-r/_binary64_15186` `associate-r*_binary64_15184`
5×	`distribute-rgt-in_binary64_15194` `distribute-lft-in_binary64_15193` `add-cube-cbrt_binary64_15274`
4×	`cbrt-unprod_binary64_15272` `pow-prod-down_binary64_15310` `prod-exp_binary64_15288`
2×	`*-commutative_binary64_15175` `flip3--_binary64_15246` `add-log-exp_binary64_15278` `flip--_binary64_15217`
1×	`distribute-lft-out--_binary64_15196` `difference-of-squares_binary64_15211` `unswap-sqr_binary64_15210`

Counts

2 → 48

Calls

2 calls:

8.0ms	(.f64 2 (.f64 x (-.f64 x y)))
7.0ms	(*.f64 x (-.f64 x y))

series105.0ms (5.9%)

Counts

2 → 6

Calls

2 calls:

57.0ms	(.f64 2 (.f64 x (-.f64 x y)))
48.0ms	(*.f64 x (-.f64 x y))

simplify75.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4938	579
1	4938	579

prune38.0ms (2.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	50	4	54
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	52	4	56

Merged error: 0b

Counts

56 → 4

Compiler

Compiled 658 to 291 computations (55.8% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 x 2) (-.f64 x y))

rewrite10.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_15277` `pow1_binary64_15300` `add-cbrt-cube_binary64_15275`
5×	`associate-r_binary64_15184`
4×	`add-sqr-sqrt_binary64_15263` `*-un-lft-identity_binary64_15242`
3×	`cbrt-unprod_binary64_15272` `pow-prod-down_binary64_15310` `prod-exp_binary64_15288`
2×	`sub-neg_binary64_15235` `associate-*r/_binary64_15186` `add-cube-cbrt_binary64_15274`
1×	`distribute-rgt-in_binary64_15194` `associate-l_binary64_15185` `*-commutative_binary64_15175` `flip3--_binary64_15246` `distribute-lft-out--_binary64_15196` `difference-of-squares_binary64_15211` `add-log-exp_binary64_15278` `flip--_binary64_15217` `distribute-lft-in_binary64_15193`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x 2) (-.f64 x y))

series64.0ms (3.6%)

Counts

1 → 3

Calls

1 calls:

64.0ms

(*.f64 (*.f64 x 2) (-.f64 x y))

simplify52.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4951	320
1	4951	320

prune17.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Merged error: 0b

Counts

31 → 4

Compiler

Compiled 347 to 121 computations (65.1% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_15277` `pow1_binary64_15300` `add-cbrt-cube_binary64_15275`
4×	`add-sqr-sqrt_binary64_15263` `add-log-exp_binary64_15278`
3×	`cbrt-unprod_binary64_15272` `pow-prod-down_binary64_15310` `associate-r_binary64_15184` `*-un-lft-identity_binary64_15242` `prod-exp_binary64_15288` `add-cube-cbrt_binary64_15274`
1×	`associate-l_binary64_15185` `*-commutative_binary64_15175` `flip3-+_binary64_15245` `flip-+_binary64_15216` `sum-log_binary64_15330` `unswap-sqr_binary64_15210` `+-commutative_binary64_15174`

Counts

2 → 30

Calls

2 calls:

7.0ms	(+.f64 (.f64 (.f64 x x) 2) (.f64 y (.f64 x -2)))
6.0ms	(.f64 (.f64 x x) 2)

series99.0ms (5.6%)

Counts

2 → 6

Calls

2 calls:

66.0ms	(+.f64 (.f64 (.f64 x x) 2) (.f64 y (.f64 x -2)))
33.0ms	(.f64 (.f64 x x) 2)

simplify59.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5091	395

prune27.0ms (1.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	36	4	40

Merged error: 0b

Counts

40 → 4

Compiler

Compiled 524 to 317 computations (39.5% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 2 (.f64 (*.f64 x (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y))))
0.1b	(*.f64 x (sqrt.f64 (-.f64 x y)))
0.2b	(.f64 (.f64 x (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))

rewrite46.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`sqrt-div_binary64_15258` `associate-*r/_binary64_15186`
19×	`add-exp-log_binary64_15277` `pow1_binary64_15300` `add-cbrt-cube_binary64_15275`
17×	`add-sqr-sqrt_binary64_15263` `associate-r_binary64_15184`
13×	`flip3--_binary64_15246` `*-un-lft-identity_binary64_15242` `flip--_binary64_15217`
11×	`sqrt-prod_binary64_15257`
10×	`cbrt-unprod_binary64_15272` `pow-prod-down_binary64_15310` `prod-exp_binary64_15288`
9×	`add-cube-cbrt_binary64_15274`
8×	`frac-times_binary64_15252`
7×	`associate-l_binary64_15185`
4×	`associate-*l/_binary64_15187`
3×	`*-commutative_binary64_15175` `add-log-exp_binary64_15278`
2×	`distribute-lft-out--_binary64_15196` `difference-of-squares_binary64_15211` `unswap-sqr_binary64_15210`

Counts

3 → 86

Calls

3 calls:

15.0ms	(.f64 2 (.f64 (*.f64 x (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y))))
14.0ms	(.f64 (.f64 x (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
8.0ms	(*.f64 x (sqrt.f64 (-.f64 x y)))

series206.0ms (11.7%)

Counts

3 → 9

Calls

3 calls:

95.0ms	(*.f64 x (sqrt.f64 (-.f64 x y)))
60.0ms	(.f64 2 (.f64 (*.f64 x (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y))))
50.0ms	(.f64 (.f64 x (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))

simplify67.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5201	1389

prune67.0ms (3.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	95	4	99

Merged error: 0b

Counts

99 → 4

Compiler

Compiled 1615 to 510 computations (68.4% saved)

regimes23.0ms (1.3%)

Compiler: Compiled 112 to 86 computations (23.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample482.0ms (27.3%)

Algorithm

1×

intervals

Results

231.0ms	8000×	body	128	valid
5.0ms	166×	body	128	invalid

Compiler

Compiled 78 to 61 computations (21.8% saved)

Details

analyze71.0ms (4%)

sample13.0ms (0.8%)

simplify184.0ms (10.4%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

rewrite19.0ms (1.1%)

series105.0ms (5.9%)

simplify75.0ms (4.2%)

prune38.0ms (2.1%)

localize5.0ms (0.3%)

rewrite10.0ms (0.6%)

series64.0ms (3.6%)

simplify52.0ms (2.9%)

prune17.0ms (1%)

localize7.0ms (0.4%)

rewrite15.0ms (0.8%)

series99.0ms (5.6%)

simplify59.0ms (3.3%)

prune27.0ms (1.5%)

localize9.0ms (0.5%)

rewrite46.0ms (2.6%)

series206.0ms (11.7%)

simplify67.0ms (3.8%)

prune67.0ms (3.8%)

regimes23.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample482.0ms (27.3%)

Profiling