Details

analyze291.0ms (17.3%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample14.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	18×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify12.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	97	10
1	97	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 14 computations (0% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))

rewrite13.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

10.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

series51.0ms (3%)

Counts

1 → 3

Calls

1 calls:

51.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

simplify69.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4985	502
1	4985	502

prune29.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Merged error: 0b

Counts

34 → 2

Compiler

Compiled 501 to 264 computations (47.3% saved)

localize13.0ms (0.8%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 z z) (-.f64 (.f64 1 1) (*.f64 z 1)))
1.4b	(*.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3)))
12.9b	(/.f64 (.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3))) (+.f64 (.f64 z z) (-.f64 (.f64 1 1) (.f64 z 1))))

rewrite50.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`flip3-+_binary64` `flip-+_binary64`
11×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
8×	`associate-/l/_binary64` `add-log-exp_binary64` `frac-times_binary64`
7×	`add-cube-cbrt_binary64`
5×	`pow1_binary64`
4×	`associate-r_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-l/_binary64`
3×	`associate-/r*_binary64` `times-frac_binary64`
2×	`cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64` `associate-+r+_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `associate-+r-_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `-commutative_binary64`

Counts

3 → 76

Calls

3 calls:

20.0ms	(/.f64 (.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3))) (+.f64 (.f64 z z) (-.f64 (.f64 1 1) (.f64 z 1))))
13.0ms	(*.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3)))
9.0ms	(+.f64 (.f64 z z) (-.f64 (.f64 1 1) (*.f64 z 1)))

series432.0ms (25.7%)

Counts

3 → 9

Calls

3 calls:

259.0ms	(/.f64 (.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3))) (+.f64 (.f64 z z) (-.f64 (.f64 1 1) (.f64 z 1))))
153.0ms	(*.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3)))
19.0ms	(+.f64 (.f64 z z) (-.f64 (.f64 1 1) (*.f64 z 1)))

simplify66.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5670	1739

prune104.0ms (6.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	2	87

Merged error: 0b

Counts

87 → 2

Compiler

Compiled 2285 to 1388 computations (39.3% saved)

regimes52.0ms (3.1%)

Compiler: Compiled 200 to 200 computations (0% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample477.0ms (28.4%)

Algorithm

1×

intervals

Results

207.0ms	7998×	body	128	valid
15.0ms	604×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 43 to 43 computations (0% saved)

Details

analyze291.0ms (17.3%)

sample14.0ms (0.8%)

simplify12.0ms (0.7%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite13.0ms (0.7%)

series51.0ms (3%)

simplify69.0ms (4.1%)

prune29.0ms (1.7%)

localize13.0ms (0.8%)

rewrite50.0ms (3%)

series432.0ms (25.7%)

simplify66.0ms (3.9%)

prune104.0ms (6.2%)

regimes52.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample477.0ms (28.4%)

Profiling