Details

analyze72.0ms (4.7%)

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
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
62.4%	32.8%	4.8%	8
69.5%	22.6%	7.9%	9
74.5%	16.4%	9.1%	10
78.2%	11.1%	10.6%	11
80.9%	8.2%	10.9%	12
82.8%	5.5%	11.7%	13
84.1%	4.1%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample12.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify18.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	238	10
1	238	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 10 computations (28.6% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

6.0ms

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

series32.0ms (2.1%)

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify55.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5374	248

prune16.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	2	18

Merged error: 0b

Counts

18 → 2

Compiler

Compiled 264 to 60 computations (77.3% saved)

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
0.5b	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
0.5b	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
0.5b	(.f64 (cbrt.f64 (-.f64 (+.f64 x y) (.f64 x y))) (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))

rewrite45.0ms (2.9%)

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:

17.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 x y) (.f64 x y))) (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))
6.0ms	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
6.0ms	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
6.0ms	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))

series686.0ms (44.4%)

Counts

4 → 12

Calls

4 calls:

229.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 x y) (.f64 x y))) (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))
157.0ms	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
157.0ms	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
143.0ms	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))

simplify66.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5436	2686

prune107.0ms (6.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	99	2	101

Merged error: 0b

Counts

101 → 2

Compiler

Compiled 3562 to 606 computations (83% saved)

regimes25.0ms (1.6%)

Compiler: Compiled 117 to 57 computations (51.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	10
1	34	10

end0.0ms (0%)

sample385.0ms (25%)

Algorithm

1×

intervals

Results

187.0ms	8000×	body	128	valid
2.0ms	73×	body	128	invalid

Compiler

Compiled 48 to 26 computations (45.8% saved)

Details

analyze72.0ms (4.7%)

sample12.0ms (0.8%)

simplify18.0ms (1.2%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

rewrite7.0ms (0.5%)

series32.0ms (2.1%)

simplify55.0ms (3.6%)

prune16.0ms (1%)

localize8.0ms (0.5%)

rewrite45.0ms (2.9%)

series686.0ms (44.4%)

simplify66.0ms (4.3%)

prune107.0ms (6.9%)

regimes25.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample385.0ms (25%)

Profiling