Details

analyze89.0ms (6.1%)

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)

sample10.0ms (0.7%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify16.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	70	10
1	70	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 → 1

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
8×	`pow1_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
5×	`add-cube-cbrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64` `frac-times_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `pow-prod-up_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow-sqr_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

1 → 40

Calls

1 calls:

9.0ms

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

series4.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify70.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5594	523

prune25.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0.0b

Counts

44 → 3

Compiler

Compiled 523 to 187 computations (64.2% saved)

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite26.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-*r/_binary64`
11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`associate-r_binary64`
7×	`flip3-+_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
6×	`associate-l_binary64`
5×	`add-log-exp_binary64`
4×	`frac-add_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-+r+_binary64` `*-commutative_binary64`
1×	`distribute-rgt-out_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 66

Calls

3 calls:

10.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
6.0ms	(*.f64 y (+.f64 x y))
6.0ms	(*.f64 x (+.f64 x y))

series19.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

7.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
7.0ms	(*.f64 x (+.f64 x y))
5.0ms	(*.f64 y (+.f64 x y))

simplify84.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4843	903
1	4843	903

prune58.0ms (3.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	1	0	1
Picked	1	0	1
Done	1	0	1
Total	76	2	78

Merged error: 0b

Counts

78 → 2

Compiler

Compiled 1173 to 271 computations (76.9% saved)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

rewrite21.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64`
10×	`add-log-exp_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`sum-log_binary64`
3×	`flip3-+_binary64` `associate-l_binary64` `flip-+_binary64` `associate-+r+_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 52

Calls

3 calls:

8.0ms	(*.f64 y (+.f64 x (+.f64 y x)))
6.0ms	(+.f64 x (+.f64 y x))
5.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 x (+.f64 y x))))

series18.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

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

simplify88.0ms (6%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5027	720

prune27.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	61	2	63

Merged error: 0b

Counts

63 → 2

Compiler

Compiled 914 to 203 computations (77.8% saved)

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

rewrite23.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
7×	`flip3-+_binary64` `*-un-lft-identity_binary64` `add-sqr-sqrt_binary64` `flip-+_binary64`
6×	`associate-*r/_binary64`
5×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-r_binary64` `frac-add_binary64` `sum-log_binary64`
3×	`distribute-lft-out_binary64` `associate-l_binary64`
2×	`associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-rgt-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-+r+_binary64` `*-commutative_binary64`

Counts

3 → 55

Calls

3 calls:

10.0ms	(+.f64 (.f64 x (+.f64 x y)) (+.f64 (.f64 y x) (*.f64 y y)))
6.0ms	(*.f64 x (+.f64 x y))
5.0ms	(+.f64 (.f64 y x) (.f64 y y))

series17.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

7.0ms	(+.f64 (.f64 x (+.f64 x y)) (+.f64 (.f64 y x) (*.f64 y y)))
5.0ms	(+.f64 (.f64 y x) (.f64 y y))
5.0ms	(*.f64 x (+.f64 x y))

simplify111.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4910	917
1	4910	917

prune27.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	64	2	66

Merged error: 0b

Counts

66 → 2

Compiler

Compiled 1105 to 256 computations (76.8% saved)

regimes63.0ms (4.3%)

Compiler: Compiled 52 to 38 computations (26.9% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	16
1	12	16

end0.0ms (0%)

sample628.0ms (42.8%)

Algorithm

1×

intervals

Results

179.0ms	8000×	body	80	valid
2.0ms	84×	body	80	invalid

Compiler

Compiled 56 to 38 computations (32.1% saved)

Details

analyze89.0ms (6.1%)

sample10.0ms (0.7%)

simplify16.0ms (1.1%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

rewrite11.0ms (0.8%)

series4.0ms (0.3%)

simplify70.0ms (4.8%)

prune25.0ms (1.7%)

localize5.0ms (0.4%)

rewrite26.0ms (1.7%)

series19.0ms (1.3%)

simplify84.0ms (5.8%)

prune58.0ms (3.9%)

localize7.0ms (0.5%)

rewrite21.0ms (1.4%)

series18.0ms (1.2%)

simplify88.0ms (6%)

prune27.0ms (1.8%)

localize8.0ms (0.5%)

rewrite23.0ms (1.6%)

series17.0ms (1.2%)

simplify111.0ms (7.6%)

prune27.0ms (1.8%)

regimes63.0ms (4.3%)

bsearch0.0ms (0%)

simplify6.0ms (0.4%)

end0.0ms (0%)

sample628.0ms (42.8%)

Profiling