Details

analyze67.0ms (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
25%	56.2%	18.8%	6
25%	40.6%	34.4%	7
31.2%	31.2%	37.6%	8
39%	21.1%	39.9%	9
42.9%	16%	41.1%	10
47.2%	10.7%	42%	11
49.4%	8.1%	42.5%	12
51.6%	5.4%	43%	13
52.7%	4.1%	43.2%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample11.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify167.0ms (10%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	70	10
1	70	10

prune2.0ms (0.1%)

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 8 computations (42.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_17264`
8×	`pow1_binary64_17322`
7×	`add-sqr-sqrt_binary64_17285`
6×	`swap-sqr_binary64_17231` `distribute-lft-out_binary64_17217` `flip-+_binary64_17238` `flip3-+_binary64_17267`
5×	`add-cube-cbrt_binary64_17296`
4×	`associate-l_binary64_17207` `frac-times_binary64_17274` `associate-r_binary64_17206`
3×	`add-cbrt-cube_binary64_17297` `add-exp-log_binary64_17299`
2×	`associate-l/_binary64_17209` `associate-r/_binary64_17208`
1×	`pow-prod-down_binary64_17332` `pow-sqr_binary64_17237` `prod-exp_binary64_17310` `cbrt-unprod_binary64_17294` `add-log-exp_binary64_17300` `pow2_binary64_17342` `distribute-lft-in_binary64_17215` `pow-prod-up_binary64_17331` `pow-plus_binary64_17324` `*-commutative_binary64_17197` `distribute-rgt-in_binary64_17216` `unswap-sqr_binary64_17232`

Counts

1 → 40

Calls

1 calls:

11.0ms

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

series28.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify39.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5198	523

prune36.0ms (2.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	4	44

Merged error: 0.0b

Counts

44 → 4

Compiler

Compiled 545 to 201 computations (63.1% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite27.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-*r/_binary64_17208`
11×	`add-sqr-sqrt_binary64_17285` `*-un-lft-identity_binary64_17264`
8×	`associate-r_binary64_17206`
7×	`add-cbrt-cube_binary64_17297` `flip-+_binary64_17238` `add-exp-log_binary64_17299` `pow1_binary64_17322` `flip3-+_binary64_17267` `add-cube-cbrt_binary64_17296`
6×	`associate-l_binary64_17207`
5×	`add-log-exp_binary64_17300`
4×	`frac-add_binary64_17272` `distribute-lft-in_binary64_17215` `distribute-rgt-in_binary64_17216`
2×	`pow-prod-down_binary64_17332` `distribute-lft-out_binary64_17217` `associate-+l+_binary64_17199` `prod-exp_binary64_17310` `cbrt-unprod_binary64_17294` `*-commutative_binary64_17197` `associate-+r+_binary64_17198` `unswap-sqr_binary64_17232`
1×	`+-commutative_binary64_17196` `sum-log_binary64_17352` `distribute-rgt-out_binary64_17219`

Counts

3 → 66

Calls

3 calls:

9.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
7.0ms	(*.f64 x (+.f64 x y))
6.0ms	(*.f64 y (+.f64 x y))

series111.0ms (6.7%)

Counts

3 → 9

Calls

3 calls:

39.0ms	(*.f64 x (+.f64 x y))
37.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
35.0ms	(*.f64 y (+.f64 x y))

simplify75.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4763	903
1	4763	903

prune52.0ms (3.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	76	3	79

Merged error: 0b

Counts

79 → 3

Compiler

Compiled 1196 to 279 computations (76.7% saved)

localize9.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite19.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_17264`
7×	`add-log-exp_binary64_17300`
6×	`distribute-lft-out_binary64_17217` `add-sqr-sqrt_binary64_17285`
5×	`associate-r_binary64_17206`
4×	`add-cbrt-cube_binary64_17297` `add-exp-log_binary64_17299` `pow1_binary64_17322` `add-cube-cbrt_binary64_17296`
3×	`associate-l_binary64_17207` `sum-log_binary64_17352`
2×	`flip-+_binary64_17238` `flip3-+_binary64_17267` `associate-*r/_binary64_17208`
1×	`pow-prod-down_binary64_17332` `+-commutative_binary64_17196` `prod-exp_binary64_17310` `cbrt-unprod_binary64_17294` `distribute-lft-in_binary64_17215` `*-commutative_binary64_17197` `associate-+r+_binary64_17198` `distribute-rgt-in_binary64_17216` `unswap-sqr_binary64_17232`

Counts

2 → 39

Calls

2 calls:

9.0ms	(*.f64 y (+.f64 x (+.f64 x y)))
6.0ms	(+.f64 x (+.f64 x y))

series83.0ms (5%)

Counts

2 → 6

Calls

2 calls:

49.0ms	(*.f64 y (+.f64 x (+.f64 x y)))
33.0ms	(+.f64 x (+.f64 x y))

simplify67.0ms (4%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5274	490

prune32.0ms (1.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	46	2	48

Merged error: 0b

Counts

48 → 2

Compiler

Compiled 711 to 157 computations (77.9% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite14.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_17264`
5×	`add-sqr-sqrt_binary64_17285` `associate-r_binary64_17206`
3×	`add-cbrt-cube_binary64_17297` `distribute-lft-out_binary64_17217` `associate-l_binary64_17207` `add-exp-log_binary64_17299` `pow1_binary64_17322` `add-cube-cbrt_binary64_17296`
2×	`associate-*r/_binary64_17208`
1×	`pow-prod-down_binary64_17332` `prod-exp_binary64_17310` `cbrt-unprod_binary64_17294` `add-log-exp_binary64_17300` `distribute-lft-in_binary64_17215` `*-commutative_binary64_17197` `flip-+_binary64_17238` `distribute-rgt-in_binary64_17216` `unswap-sqr_binary64_17232` `flip3-+_binary64_17267`

Counts

1 → 24

Calls

1 calls:

12.0ms

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

series47.0ms (2.8%)

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify60.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5510	318

prune21.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	27	2	29

Merged error: 0b

Counts

29 → 2

Compiler

Compiled 428 to 94 computations (78% saved)

regimes114.0ms (6.8%)

Compiler: Compiled 823 to 530 computations (35.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	16
1	11	16

end0.0ms (0%)

sample555.0ms (33.3%)

Algorithm

1×

intervals

Results

159.0ms	8000×	body	128	valid
2.0ms	88×	body	128	invalid

Compiler

Compiled 214 to 137 computations (36% saved)

Details

analyze67.0ms (4%)

sample11.0ms (0.7%)

simplify167.0ms (10%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite15.0ms (0.9%)

series28.0ms (1.7%)

simplify39.0ms (2.3%)

prune36.0ms (2.2%)

localize6.0ms (0.3%)

rewrite27.0ms (1.6%)

series111.0ms (6.7%)

simplify75.0ms (4.5%)

prune52.0ms (3.1%)

localize9.0ms (0.5%)

rewrite19.0ms (1.1%)

series83.0ms (5%)

simplify67.0ms (4%)

prune32.0ms (1.9%)

localize7.0ms (0.4%)

rewrite14.0ms (0.8%)

series47.0ms (2.8%)

simplify60.0ms (3.6%)

prune21.0ms (1.3%)

regimes114.0ms (6.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample555.0ms (33.3%)

Profiling