Details

analyze24.0ms (1.3%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample12.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify75.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	783	10
1	783	10

prune3.0ms (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 14 to 10 computations (28.6% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`associate-/r*_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 45

Calls

1 calls:

8.0ms

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

series9.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify77.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4961	802
1	4961	802

prune30.0ms (1.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	3	49

Merged error: 0.0b

Counts

49 → 3

Compiler

Compiled 686 to 157 computations (77.1% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
0.0b	(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
0.0b	(/.f64 (+.f64 x y) (-.f64 x y))

rewrite33.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`*-un-lft-identity_binary64`
61×	`add-sqr-sqrt_binary64`
60×	`times-frac_binary64`
52×	`exp-prod_binary64`
35×	`add-cube-cbrt_binary64`
27×	`log-pow_binary64`
16×	`distribute-lft-out_binary64`
13×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`associate-/r/_binary64`
5×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
3×	`flip3--_binary64` `log-prod_binary64` `div-inv_binary64` `flip--_binary64`
2×	`associate-/l/_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

3 → 117

Calls

3 calls:

10.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
9.0ms	(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
9.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

series33.0ms (1.8%)

Counts

3 → 9

Calls

3 calls:

14.0ms	(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
10.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
9.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

simplify117.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4910	1783
1	4910	1783

prune58.0ms (3.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	125	4	129

Merged error: 0.0b

Counts

129 → 4

Compiler

Compiled 2010 to 422 computations (79% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

rewrite29.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

178×	`times-frac_binary64`
174×	`*-un-lft-identity_binary64`
122×	`add-sqr-sqrt_binary64`
80×	`add-cube-cbrt_binary64`
30×	`associate-/r*_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64`
8×	`associate-/l*_binary64` `div-exp_binary64`
6×	`div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3--_binary64` `div-sub_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

2 → 174

Calls

2 calls:

11.0ms	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
8.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

series21.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

12.0ms	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
9.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

simplify105.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	6133	3649

prune78.0ms (4.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	180	4	184

Merged error: 0.0b

Counts

184 → 4

Compiler

Compiled 3038 to 751 computations (75.3% saved)

localize13.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

rewrite75.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Rules

321×	`*-un-lft-identity_binary64`
190×	`times-frac_binary64`
183×	`add-sqr-sqrt_binary64`
160×	`cbrt-prod_binary64`
89×	`add-cube-cbrt_binary64`
56×	`distribute-lft-out_binary64`
51×	`swap-sqr_binary64`
47×	`distribute-lft-out--_binary64`
35×	`difference-of-squares_binary64`
29×	`associate-r_binary64` `associate-l_binary64`
15×	`associate-/r*_binary64`
14×	`associate-/r/_binary64`
12×	`add-exp-log_binary64` `associate-/l*_binary64`
11×	`pow1_binary64`
10×	`add-cbrt-cube_binary64`
9×	`unswap-sqr_binary64`
7×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
6×	`associate-/l/_binary64` `pow1/3_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64`
3×	`flip3-+_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 274

Calls

4 calls:

30.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
11.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
8.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
8.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

series55.0ms (3%)

Counts

4 → 12

Calls

4 calls:

28.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
9.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
9.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
9.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

simplify126.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

286 → 286

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	6118	7058

prune163.0ms (8.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	286	0	286
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	286	4	290

Merged error: 0.0b

Counts

290 → 4

Compiler

Compiled 10306 to 1794 computations (82.6% saved)

regimes70.0ms (3.8%)

Compiler: Compiled 183 to 111 computations (39.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	14
1	19	14

end0.0ms (0%)

sample583.0ms (32%)

Algorithm

1×

intervals

Results

169.0ms

8000×

body

valid

Compiler

Compiled 85 to 54 computations (36.5% saved)

Details

analyze24.0ms (1.3%)

sample12.0ms (0.6%)

simplify75.0ms (4.1%)

prune3.0ms (0.2%)

localize8.0ms (0.4%)

rewrite10.0ms (0.6%)

series9.0ms (0.5%)

simplify77.0ms (4.2%)

prune30.0ms (1.7%)

localize8.0ms (0.4%)

rewrite33.0ms (1.8%)

series33.0ms (1.8%)

simplify117.0ms (6.4%)

prune58.0ms (3.2%)

localize5.0ms (0.3%)

rewrite29.0ms (1.6%)

series21.0ms (1.2%)

simplify105.0ms (5.7%)

prune78.0ms (4.3%)

localize13.0ms (0.7%)

rewrite75.0ms (4.1%)

series55.0ms (3%)

simplify126.0ms (6.9%)

prune163.0ms (8.9%)

regimes70.0ms (3.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample583.0ms (32%)

Profiling