Details

analyze20.0ms (0.4%)

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
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample14.0ms (0.3%)

Algorithm

1×

intervals

Results

5.0ms	231×	body	128	valid
1.0ms	11×	body	1024	valid
1.0ms	8×	body	2048	valid
0.0ms	4×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	79	7
1	79	7

prune5.0ms (0.1%)

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: 0.1b

Counts

2 → 1

Compiler

Compiled 22 to 22 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 3/8 y))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 12

Calls

1 calls:

3.0ms

(-.f64 x (*.f64 3/8 y))

series43.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

43.0ms

(-.f64 x (*.f64 3/8 y))

simplify99.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5128	165

prune27.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	11	4	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	5	16

Merged error: 0.0b

Counts

16 → 5

Compiler

Compiled 348 to 274 computations (21.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
0.6b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series939.0ms (20.4%)

Counts

4 → 12

Calls

4 calls:

246.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
233.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
232.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
227.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify93.0ms (2%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4926	1786
1	4926	1786

prune211.0ms (4.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

Compiler

Compiled 3681 to 2747 computations (25.4% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series910.0ms (19.8%)

Counts

4 → 12

Calls

4 calls:

237.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
232.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
227.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
214.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify140.0ms (3%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	4796	1032
1	4796	1032

prune142.0ms (3.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	64	7	71

Merged error: 0.0b

Counts

71 → 7

Compiler

Compiled 2724 to 2049 computations (24.8% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`

Counts

4 → 52

Calls

4 calls:

6.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series917.0ms (19.9%)

Counts

4 → 12

Calls

4 calls:

239.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
233.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
224.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
221.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify138.0ms (3%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4796	1032
1	4796	1032

prune180.0ms (3.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	64	7	71

Merged error: 0.0b

Counts

71 → 7

Compiler

Compiled 3428 to 2563 computations (25.2% saved)

regimes40.0ms (0.9%)

Compiler: Compiled 318 to 258 computations (18.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	7
1	33	7

end0.0ms (0%)

sample549.0ms (11.9%)

Algorithm

1×

intervals

Results

188.0ms	7439×	body	128	valid
18.0ms	213×	body	1024	valid
15.0ms	151×	body	2048	valid
8.0ms	126×	body	512	valid
3.0ms	71×	body	256	valid

Compiler

Compiled 170 to 140 computations (17.6% saved)

Details

analyze20.0ms (0.4%)

sample14.0ms (0.3%)

simplify12.0ms (0.3%)

prune5.0ms (0.1%)

localize4.0ms (0.1%)

rewrite4.0ms (0.1%)

series43.0ms (0.9%)

simplify99.0ms (2.2%)

prune27.0ms (0.6%)

localize8.0ms (0.2%)

rewrite29.0ms (0.6%)

series939.0ms (20.4%)

simplify93.0ms (2%)

prune211.0ms (4.6%)

localize15.0ms (0.3%)

rewrite18.0ms (0.4%)

series910.0ms (19.8%)

simplify140.0ms (3%)

prune142.0ms (3.1%)

localize18.0ms (0.4%)

rewrite23.0ms (0.5%)

series917.0ms (19.9%)

simplify138.0ms (3%)

prune180.0ms (3.9%)

regimes40.0ms (0.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample549.0ms (11.9%)

Profiling