Details

analyze368.0ms (5.4%)

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
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 9 to 7 computations (22.2% saved)

sample31.0ms (0.5%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify299.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

prune21.0ms (0.3%)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite27.0ms (0.4%)

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

2 calls:

17.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

series129.0ms (1.9%)

Counts

1 → 18

Calls

1 calls:

129.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 237 to 225 computations (5.1% saved)

simplify117.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5639	1006

prune99.0ms (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	58	5	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	5	64

Error

0.0b

Counts

64 → 5

Compiler

Compiled 848 to 251 computations (70.4% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 n f) (+.f64 f n))
0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
0.0b	(/.f64 (-.f64 n f) (+.f64 f n))

rewrite72.0ms (1.1%)

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

4 calls:

22.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
15.0ms	(/.f64 (-.f64 n f) (+.f64 f n))
0.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
0.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

series244.0ms (3.6%)

Counts

2 → 36

Calls

2 calls:

123.0ms	(/.f64 (-.f64 n f) (+.f64 f n))
120.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))

Compiler

Compiled 510 to 486 computations (4.7% saved)

simplify205.0ms (3%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	5553	4135

prune276.0ms (4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	208	2	210
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	210	5	215

Error

Counts

215 → 5

Compiler

Compiled 3415 to 971 computations (71.6% saved)

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))
0.0b	(/.f64 n (+.f64 n f))
0.0b	(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
0.0b	(/.f64 f (+.f64 n f))
0.0b	(/.f64 f (+.f64 n f))
0.0b	(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
0.0b	(/.f64 n (+.f64 n f))
0.0b	(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))

rewrite165.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

204×	`*-un-lft-identity_binary64`
167×	`times-frac_binary64`
122×	`add-sqr-sqrt_binary64`
62×	`add-cube-cbrt_binary64`
35×	`distribute-lft-out--_binary64`
31×	`distribute-lft-out_binary64`
30×	`associate-/r/_binary64`
25×	`associate-/r*_binary64`
20×	`difference-of-squares_binary64`
18×	`cancel-sign-sub-inv_binary64`
15×	`distribute-rgt-out--_binary64`
14×	`div-inv_binary64`
13×	`flip3-+_binary64` `flip-+_binary64`
12×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
9×	`associate-/l*_binary64`
6×	`add-log-exp_binary64`
5×	`pow1_binary64`
4×	`div-exp_binary64`
3×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`flip3--_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `1-exp_binary64` `inv-pow_binary64` `rec-exp_binary64` `pow-flip_binary64`

Counts

4 → 202

Calls

8 calls:

55.0ms	(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
48.0ms	(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))
10.0ms	(/.f64 n (+.f64 n f))
10.0ms	(/.f64 f (+.f64 n f))
0.0ms	(/.f64 f (+.f64 n f))

series514.0ms (7.5%)

Counts

4 → 69

Calls

4 calls:

160.0ms	(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
145.0ms	(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))
119.0ms	(/.f64 f (+.f64 n f))
90.0ms	(/.f64 n (+.f64 n f))

Compiler

Compiled 1221 to 1026 computations (16% saved)

simplify175.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5220	4572

prune361.0ms (5.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	271	0	271
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	271	5	276

Error

Counts

276 → 5

Compiler

Compiled 4813 to 1521 computations (68.4% saved)

localize15.0ms (0.2%)

Local error

Found 6 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
0.0b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
0.0b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite98.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64`
100×	`times-frac_binary64`
98×	`add-sqr-sqrt_binary64`
58×	`cbrt-prod_binary64`
56×	`add-cube-cbrt_binary64`
52×	`unpow-prod-down_binary64` `cube-prod_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`pow1_binary64` `associate-/l*_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`

Counts

3 → 185

Calls

6 calls:

25.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
22.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
15.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
0.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))

series422.0ms (6.1%)

Counts

3 → 51

Calls

3 calls:

163.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
136.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
122.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 822 to 786 computations (4.4% saved)

simplify134.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5045	4344

prune308.0ms (4.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	236	5	241

Error

Counts

241 → 5

Compiler

Compiled 3580 to 1262 computations (64.7% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	134	352
1	134	352

regimes177.0ms (2.6%)

Accuracy

Total 0.0b remaining (91.3%)

Threshold costs 0.0b (91.3%)

Compiler

Compiled 752 to 491 computations (34.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	19
1	27	19

end0.0ms (0%)

sample2.5s (37.1%)

Algorithm

1×

intervals

Results

407.0ms

8000×

body

128

valid

Compiler

Compiled 740 to 469 computations (36.6% saved)

Pareto

0.4290688976855628

Details

analyze368.0ms (5.4%)

sample31.0ms (0.5%)

simplify299.0ms (4.4%)

prune21.0ms (0.3%)

localize11.0ms (0.2%)

rewrite27.0ms (0.4%)

series129.0ms (1.9%)

simplify117.0ms (1.7%)

prune99.0ms (1.4%)

localize15.0ms (0.2%)

rewrite72.0ms (1.1%)

series244.0ms (3.6%)

simplify205.0ms (3%)

prune276.0ms (4%)

localize14.0ms (0.2%)

rewrite165.0ms (2.4%)

series514.0ms (7.5%)

simplify175.0ms (2.6%)

prune361.0ms (5.3%)

localize15.0ms (0.2%)

rewrite98.0ms (1.4%)

series422.0ms (6.1%)

simplify134.0ms (1.9%)

prune308.0ms (4.5%)

simplify14.0ms (0.2%)

regimes177.0ms (2.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.5s (37.1%)

Profiling