Details

analyze53.0ms (2.9%)

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
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample13.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify13.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	48	10
1	48	10

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 x 4/29) 3)
0.2b	(.f64 (.f64 (-.f64 x 4/29) 3) y)

rewrite16.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`associate-r_binary64` `associate-l_binary64` `associate-*l/_binary64`
5×	`add-cube-cbrt_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 42

Calls

2 calls:

8.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)
7.0ms	(*.f64 (-.f64 x 4/29) 3)

series10.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)
4.0ms	(*.f64 (-.f64 x 4/29) 3)

simplify91.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4890	499
1	4890	499

prune44.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	42	6	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	7	49

Merged error: 0.0b

Counts

49 → 7

Compiler

Compiled 619 to 481 computations (22.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.3b	(.f64 (-.f64 x 4/29) (.f64 3 y))

rewrite10.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`add-cube-cbrt_binary64` `associate-*l/_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `associate-r_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

9.0ms

(*.f64 (-.f64 x 4/29) (*.f64 3 y))

series6.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(*.f64 (-.f64 x 4/29) (*.f64 3 y))

simplify37.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5174	290

prune23.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	25	7	32

Merged error: 0.0b

Counts

32 → 7

Compiler

Compiled 358 to 283 computations (20.9% saved)

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.1b

(*.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

0.1b

(*.f64 (*.f64 (*.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)) y)

0.7b

(*.f64 (*.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite46.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`pow1_binary64` `add-exp-log_binary64`
19×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
12×	`associate-*l/_binary64`
10×	`associate-r_binary64` `add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64` `associate-l_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `cbrt-prod_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

3 → 75

Calls

3 calls:

16.0ms

(*.f64 (*.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

16.0ms

(*.f64 (*.f64 (*.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)) y)

11.0ms

(*.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

series41.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

15.0ms

(*.f64 (*.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

14.0ms

(*.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

12.0ms

(*.f64 (*.f64 (*.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)) y)

simplify99.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4915	987
1	4915	987

prune64.0ms (3.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

Compiler

Compiled 1202 to 982 computations (18.3% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.6b	(.f64 3 (-.f64 (.f64 x x) 16/841))
5.6b	(.f64 y (.f64 3 (-.f64 (*.f64 x x) 16/841)))
10.5b	(/.f64 (.f64 y (.f64 3 (-.f64 (*.f64 x x) 16/841))) (+.f64 x 4/29))

rewrite33.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`pow1_binary64` `associate-*r/_binary64`
8×	`add-cube-cbrt_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`sub-neg_binary64` `associate-l_binary64`
5×	`associate-r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `associate-/r*_binary64` `times-frac_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64`

Counts

3 → 76

Calls

3 calls:

13.0ms	(/.f64 (.f64 y (.f64 3 (-.f64 (*.f64 x x) 16/841))) (+.f64 x 4/29))
10.0ms	(.f64 y (.f64 3 (-.f64 (*.f64 x x) 16/841)))
8.0ms	(.f64 3 (-.f64 (.f64 x x) 16/841))

series40.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

21.0ms	(/.f64 (.f64 y (.f64 3 (-.f64 (*.f64 x x) 16/841))) (+.f64 x 4/29))
13.0ms	(.f64 y (.f64 3 (-.f64 (*.f64 x x) 16/841)))
6.0ms	(.f64 3 (-.f64 (.f64 x x) 16/841))

simplify71.0ms (4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4894	1297
1	4894	1297

prune57.0ms (3.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	2	3
Picked	1	0	1
Done	0	3	3
Total	86	6	92

Merged error: 0.0b

Counts

92 → 6

Compiler

Compiled 1455 to 953 computations (34.5% saved)

regimes243.0ms (13.6%)

Compiler: Compiled 150 to 140 computations (6.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

end0.0ms (0%)

sample740.0ms (41.4%)

Algorithm

1×

intervals

Results

228.0ms	8000×	body	80	valid
2.0ms	72×	body	80	invalid

Compiler

Compiled 97 to 92 computations (5.2% saved)

Details

analyze53.0ms (2.9%)

sample13.0ms (0.7%)

simplify13.0ms (0.8%)

prune4.0ms (0.2%)

localize5.0ms (0.3%)

rewrite16.0ms (0.9%)

series10.0ms (0.6%)

simplify91.0ms (5.1%)

prune44.0ms (2.5%)

localize5.0ms (0.3%)

rewrite10.0ms (0.6%)

series6.0ms (0.3%)

simplify37.0ms (2.1%)

prune23.0ms (1.3%)

localize8.0ms (0.5%)

rewrite46.0ms (2.6%)

series41.0ms (2.3%)

simplify99.0ms (5.5%)

prune64.0ms (3.6%)

localize8.0ms (0.4%)

rewrite33.0ms (1.9%)

series40.0ms (2.3%)

simplify71.0ms (4%)

prune57.0ms (3.2%)

regimes243.0ms (13.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample740.0ms (41.4%)

Profiling