Details

analyze61.0ms (3.5%)

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)

sample17.0ms (1%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify168.0ms (9.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	39	10
1	39	10

prune5.0ms (0.3%)

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 32 computations (17.9% 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))

rewrite23.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64_17340` `add-exp-log_binary64_17317` `add-cbrt-cube_binary64_17315`
7×	`*-un-lft-identity_binary64_17279` `add-sqr-sqrt_binary64_17301`
6×	`associate-l_binary64_17220` `associate-*r/_binary64_17221`
5×	`distribute-lft-in_binary64_17228` `add-cube-cbrt_binary64_17314` `distribute-rgt-in_binary64_17229` `associate-r_binary64_17219`
4×	`pow-prod-down_binary64_17350` `cbrt-unprod_binary64_17312` `prod-exp_binary64_17328`
2×	`flip-+_binary64_17253` `flip3-+_binary64_17282` `add-log-exp_binary64_17318` `*-commutative_binary64_17210`
1×	`unswap-sqr_binary64_17247` `distribute-lft-out_binary64_17230`

Counts

2 → 47

Calls

2 calls:

12.0ms	(.f64 2 (.f64 x (+.f64 x y)))
8.0ms	(*.f64 x (+.f64 x y))

series92.0ms (5.2%)

Counts

2 → 6

Calls

2 calls:

55.0ms	(.f64 2 (.f64 x (+.f64 x y)))
37.0ms	(*.f64 x (+.f64 x y))

simplify71.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5532	564

prune40.0ms (2.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	52	3	55

Merged error: 0b

Counts

55 → 3

Compiler

Compiled 675 to 309 computations (54.2% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite14.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-l_binary64_17220`
11×	`*-un-lft-identity_binary64_17279`
9×	`add-sqr-sqrt_binary64_17301`
7×	`add-cube-cbrt_binary64_17314`
6×	`flip-+_binary64_17253` `flip3-+_binary64_17282`
4×	`distribute-lft-out_binary64_17230` `associate-r_binary64_17219` `frac-times_binary64_17289`
3×	`pow1_binary64_17340` `distribute-rgt-out_binary64_17232` `add-exp-log_binary64_17317` `add-cbrt-cube_binary64_17315`
2×	`associate-r/_binary64_17221` `associate-l/_binary64_17222`
1×	`unswap-sqr_binary64_17247` `distribute-lft1-in_binary64_17234` `pow-prod-down_binary64_17350` `cbrt-unprod_binary64_17312` `distribute-lft-in_binary64_17228` `distribute-rgt-in_binary64_17229` `distribute-rgt1-in_binary64_17235` `count-2_binary64_17227` `prod-exp_binary64_17328` `add-log-exp_binary64_17318` `*-commutative_binary64_17210`

Counts

1 → 38

Calls

1 calls:

11.0ms

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

series52.0ms (2.9%)

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify59.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4849	502
1	4849	502

prune27.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

Compiler

Compiled 500 to 160 computations (68% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite14.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_17301`
4×	`-un-lft-identity_binary64_17279` `pow1_binary64_17340` `add-exp-log_binary64_17317` `add-cube-cbrt_binary64_17314` `associate-r*_binary64_17219` `add-cbrt-cube_binary64_17315` `add-log-exp_binary64_17318`
3×	`associate-l_binary64_17220`
2×	`flip-+_binary64_17253` `associate-*r/_binary64_17221` `distribute-lft-out_binary64_17230` `flip3-+_binary64_17282`
1×	`sum-log_binary64_17370` `unswap-sqr_binary64_17247` `pow-prod-down_binary64_17350` `cbrt-unprod_binary64_17312` `distribute-lft-in_binary64_17228` `+-commutative_binary64_17209` `distribute-rgt-in_binary64_17229` `prod-exp_binary64_17328` `*-commutative_binary64_17210`

Counts

2 → 35

Calls

2 calls:

7.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
4.0ms	(+.f64 (.f64 x x) (.f64 x y))

series100.0ms (5.7%)

Counts

2 → 6

Calls

2 calls:

60.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
40.0ms	(+.f64 (.f64 x x) (.f64 x y))

simplify82.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4950	493
1	4950	493

prune26.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	41	3	44

Merged error: 0b

Counts

44 → 3

Compiler

Compiled 527 to 225 computations (57.3% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (+.f64 x y))
0.4b	(.f64 (.f64 x (+.f64 x y)) (sqrt.f64 2))
0.4b	(.f64 (sqrt.f64 2) (.f64 (*.f64 x (+.f64 x y)) (sqrt.f64 2)))

rewrite36.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`pow1_binary64_17340` `add-exp-log_binary64_17317` `add-cbrt-cube_binary64_17315`
11×	`-un-lft-identity_binary64_17279` `add-sqr-sqrt_binary64_17301` `associate-r*_binary64_17219`
10×	`associate-l_binary64_17220` `pow-prod-down_binary64_17350` `cbrt-unprod_binary64_17312` `prod-exp_binary64_17328`
9×	`add-cube-cbrt_binary64_17314`
8×	`associate-*r/_binary64_17221`
6×	`sqrt-prod_binary64_17295`
4×	`associate-*l/_binary64_17222`
3×	`flip-+_binary64_17253` `flip3-+_binary64_17282` `add-log-exp_binary64_17318` `*-commutative_binary64_17210`
1×	`unswap-sqr_binary64_17247` `distribute-lft-in_binary64_17228` `distribute-lft-out_binary64_17230` `distribute-rgt-in_binary64_17229`

Counts

3 → 72

Calls

3 calls:

13.0ms	(.f64 (sqrt.f64 2) (.f64 (*.f64 x (+.f64 x y)) (sqrt.f64 2)))
9.0ms	(.f64 (.f64 x (+.f64 x y)) (sqrt.f64 2))
7.0ms	(*.f64 x (+.f64 x y))

series245.0ms (14%)

Counts

3 → 9

Calls

3 calls:

128.0ms	(.f64 (sqrt.f64 2) (.f64 (*.f64 x (+.f64 x y)) (sqrt.f64 2)))
78.0ms	(.f64 (.f64 x (+.f64 x y)) (sqrt.f64 2))
39.0ms	(*.f64 x (+.f64 x y))

simplify62.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5024	960

prune60.0ms (3.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	81	3	84

Merged error: 0b

Counts

84 → 3

Compiler

Compiled 1134 to 620 computations (45.3% saved)

regimes39.0ms (2.2%)

Compiler: Compiled 144 to 120 computations (16.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms (0%)

sample438.0ms (25%)

Algorithm

1×

intervals

Results

211.0ms	8000×	body	128	valid
3.0ms	135×	body	128	invalid

Compiler

Compiled 51 to 43 computations (15.7% saved)

Details

analyze61.0ms (3.5%)

sample17.0ms (1%)

simplify168.0ms (9.5%)

prune5.0ms (0.3%)

localize5.0ms (0.3%)

rewrite23.0ms (1.3%)

series92.0ms (5.2%)

simplify71.0ms (4.1%)

prune40.0ms (2.3%)

localize4.0ms (0.3%)

rewrite14.0ms (0.8%)

series52.0ms (2.9%)

simplify59.0ms (3.3%)

prune27.0ms (1.5%)

localize6.0ms (0.3%)

rewrite14.0ms (0.8%)

series100.0ms (5.7%)

simplify82.0ms (4.7%)

prune26.0ms (1.5%)

localize7.0ms (0.4%)

rewrite36.0ms (2%)

series245.0ms (14%)

simplify62.0ms (3.5%)

prune60.0ms (3.4%)

regimes39.0ms (2.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample438.0ms (25%)

Profiling