Details

analyze46.0ms (3.3%)

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
59.3%	37.5%	3.2%	7
70.2%	23.4%	6.3%	8
74.1%	17.2%	8.7%	9
79.2%	11.3%	9.5%	10
81%	8.2%	10.8%	11
83.4%	5.6%	11%	12
84.2%	4%	11.8%	13
85.4%	2.8%	11.8%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample17.0ms (1.2%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify172.0ms (12.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	110	7
1	110	7

prune2.0ms (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 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_6516`
1×	`add-exp-log_binary64_6515` `*-un-lft-identity_binary64_6480` `pow1_binary64_6538` `flip--_binary64_6455` `flip3--_binary64_6484` `add-sqr-sqrt_binary64_6501` `add-cube-cbrt_binary64_6512` `sub-neg_binary64_6473` `diff-log_binary64_6569` `add-cbrt-cube_binary64_6513`

Counts

1 → 11

Calls

1 calls:

5.0ms

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

series51.0ms (3.6%)

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify61.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5077	157

prune10.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

Compiler

Compiled 148 to 55 computations (62.8% saved)

localize9.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 x y))
1.5b	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
9.4b	(.f64 x (.f64 y y))
29.3b	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (+.f64 x (.f64 x y)))

rewrite38.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_6515` `add-cbrt-cube_binary64_6513`
12×	`add-sqr-sqrt_binary64_6501`
11×	`pow1_binary64_6538`
9×	`*-un-lft-identity_binary64_6480` `add-cube-cbrt_binary64_6512`
6×	`associate-l_binary64_6423` `add-log-exp_binary64_6516`
5×	`prod-exp_binary64_6526` `cbrt-unprod_binary64_6510`
4×	`associate-r_binary64_6422` `pow-prod-down_binary64_6548` `associate-*r/_binary64_6424`
3×	`associate-/r*_binary64_6426` `times-frac_binary64_6486`
2×	`flip3-+_binary64_6483` `associate-/l/_binary64_6429` `cbrt-undiv_binary64_6511` `unswap-sqr_binary64_6448` `associate-/r/_binary64_6428` `div-exp_binary64_6528` `flip--_binary64_6455` `flip3--_binary64_6484` `flip-+_binary64_6454` `sub-neg_binary64_6473` `*-commutative_binary64_6413`
1×	`div-inv_binary64_6477` `clear-num_binary64_6479` `associate-/l*_binary64_6427` `frac-2neg_binary64_6491` `distribute-lft-in_binary64_6431` `distribute-rgt-in_binary64_6432` `+-commutative_binary64_6412` `sum-log_binary64_6568`

Counts

4 → 77

Calls

4 calls:

13.0ms	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (+.f64 x (.f64 x y)))
10.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
6.0ms	(.f64 x (.f64 y y))
3.0ms	(+.f64 x (*.f64 x y))

series441.0ms (31.5%)

Counts

4 → 12

Calls

4 calls:

225.0ms	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (+.f64 x (.f64 x y)))
124.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
49.0ms	(.f64 x (.f64 y y))
43.0ms	(+.f64 x (*.f64 x y))

simplify58.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5456	1380

prune61.0ms (4.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	89	2	91

Merged error: 0b

Counts

91 → 2

Compiler

Compiled 1765 to 308 computations (82.5% saved)

regimes35.0ms (2.5%)

Compiler: Compiled 173 to 94 computations (45.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms (0%)

sample386.0ms (27.6%)

Algorithm

1×

intervals

Results

152.0ms	8000×	body	128	valid
1.0ms	68×	body	128	invalid

Compiler

Compiled 64 to 37 computations (42.2% saved)

Details

analyze46.0ms (3.3%)

sample17.0ms (1.2%)

simplify172.0ms (12.3%)

prune2.0ms (0.2%)

localize3.0ms (0.2%)

rewrite5.0ms (0.4%)

series51.0ms (3.6%)

simplify61.0ms (4.4%)

prune10.0ms (0.7%)

localize9.0ms (0.7%)

rewrite38.0ms (2.7%)

series441.0ms (31.5%)

simplify58.0ms (4.1%)

prune61.0ms (4.4%)

regimes35.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample386.0ms (27.6%)

Profiling