Details

analyze285.0ms (32.2%)

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)

sample13.0ms (1.5%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	13×	body	80	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify15.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	105	10
1	105	10

prune5.0ms (0.5%)

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 (0.5%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (1.4%)

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:

11.0ms

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

series8.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify87.0ms (9.8%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5297	502

prune24.0ms (2.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	2	34

Merged error: 0b

Counts

34 → 2

Compiler

Compiled 478 to 239 computations (50% saved)

localize5.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite19.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64`
6×	`flip3-+_binary64` `-un-lft-identity_binary64` `add-sqr-sqrt_binary64` `flip-+_binary64` `associate-l/_binary64`
4×	`pow1_binary64` `frac-add_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
3×	`associate-r_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `associate-+r+_binary64` `*-commutative_binary64`

Counts

2 → 38

Calls

2 calls:

12.0ms	(+.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))
6.0ms	(*.f64 (+.f64 x y) z)

series16.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(+.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))
6.0ms	(*.f64 (+.f64 x y) z)

simplify65.0ms (7.3%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5011	674

prune28.0ms (3.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	44	2	46

Merged error: 0b

Counts

46 → 2

Compiler

Compiled 688 to 220 computations (68% saved)

localize7.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))
0.0b	(sqrt.f64 (*.f64 (+.f64 x y) (+.f64 z 1)))
0.0b	(sqrt.f64 (*.f64 (+.f64 x y) (+.f64 z 1)))
0.2b	(.f64 (sqrt.f64 (.f64 (+.f64 x y) (+.f64 z 1))) (sqrt.f64 (*.f64 (+.f64 x y) (+.f64 z 1))))

rewrite59.0ms (6.6%)

Algorithm

1×	rewrite-expression-head

Rules

160×	`sqrt-div_binary64`
148×	`frac-times_binary64`
126×	`flip3-+_binary64` `flip-+_binary64`
61×	`pow1_binary64`
50×	`associate-r/_binary64` `associate-l/_binary64`
32×	`sqrt-pow1_binary64`
23×	`pow-prod-down_binary64`
14×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
12×	`pow1/2_binary64`
10×	`pow-prod-up_binary64` `add-cube-cbrt_binary64`
8×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
6×	`pow-sqr_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64`
2×	`cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`rem-square-sqrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `pow2_binary64`

Counts

4 → 197

Calls

4 calls:

21.0ms	(.f64 (sqrt.f64 (.f64 (+.f64 x y) (+.f64 z 1))) (sqrt.f64 (*.f64 (+.f64 x y) (+.f64 z 1))))
9.0ms	(*.f64 (+.f64 x y) (+.f64 z 1))
7.0ms	(sqrt.f64 (*.f64 (+.f64 x y) (+.f64 z 1)))
7.0ms	(sqrt.f64 (*.f64 (+.f64 x y) (+.f64 z 1)))

series116.0ms (13.1%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(.f64 (sqrt.f64 (.f64 (+.f64 x y) (+.f64 z 1))) (sqrt.f64 (*.f64 (+.f64 x y) (+.f64 z 1))))
28.0ms	(sqrt.f64 (*.f64 (+.f64 x y) (+.f64 z 1)))
28.0ms	(sqrt.f64 (*.f64 (+.f64 x y) (+.f64 z 1)))
9.0ms	(*.f64 (+.f64 x y) (+.f64 z 1))

simplify87.0ms (9.8%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5209	6784

Details

analyze285.0ms (32.2%)

sample13.0ms (1.5%)

simplify15.0ms (1.7%)

prune5.0ms (0.5%)

localize5.0ms (0.5%)

rewrite12.0ms (1.4%)

series8.0ms (0.9%)

simplify87.0ms (9.8%)

prune24.0ms (2.7%)

localize5.0ms (0.5%)

rewrite19.0ms (2.2%)

series16.0ms (1.8%)

simplify65.0ms (7.3%)

prune28.0ms (3.2%)

localize7.0ms (0.8%)

rewrite59.0ms (6.6%)

series116.0ms (13.1%)

simplify87.0ms (9.8%)

prune31.0ms (3.5%)

Profiling