Details

analyze205.0ms (4.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	782	20
1	782	20
0	2	2
1	2	2

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
59.3%	40.6%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample14.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify67.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

prune2.0ms (0%)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite49.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`*-un-lft-identity_binary64_19856`
22×	`add-sqr-sqrt_binary64_19878`
20×	`times-frac_binary64_19862`
12×	`add-cube-cbrt_binary64_19891`
6×	`distribute-lft-out_binary64_19807`
5×	`difference-of-squares_binary64_19825` `distribute-lft-out--_binary64_19808` `associate-/l*_binary64_19801`
4×	`associate-/r*_binary64_19800`
3×	`add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892`
2×	`associate-/l/_binary64_19803` `associate-/r/_binary64_19802`
1×	`pow1_binary64_19917` `div-exp_binary64_19907` `add-log-exp_binary64_19895` `cbrt-undiv_binary64_19890` `frac-2neg_binary64_19867` `div-sub_binary64_19861` `clear-num_binary64_19855` `div-inv_binary64_19853` `flip3--_binary64_19860` `flip--_binary64_19831` `flip3-+_binary64_19859` `flip-+_binary64_19830`

Counts

1 → 46

Calls

1 calls:

8.0ms

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

Compiler

Compiled 725 to 165 computations (77.2% saved)

series99.0ms (2.3%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

79.0ms

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

Compiler

Compiled 624 to 514 computations (17.6% saved)

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5540	1155

prune52.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	3	71

Error

Counts

71 → 3

Compiler

Compiled 954 to 297 computations (68.9% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite122.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

77×	`*-un-lft-identity_binary64_19856`
52×	`times-frac_binary64_19862`
43×	`add-sqr-sqrt_binary64_19878`
31×	`add-cube-cbrt_binary64_19891`
18×	`cancel-sign-sub-inv_binary64_19822`
15×	`distribute-lft-out_binary64_19807`
10×	`associate-/r/_binary64_19802`
8×	`associate-/r*_binary64_19800`
7×	`add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892` `distribute-lft-out--_binary64_19808`
6×	`associate-/l*_binary64_19801`
5×	`add-log-exp_binary64_19895` `div-inv_binary64_19853` `flip3-+_binary64_19859` `flip-+_binary64_19830`
4×	`difference-of-squares_binary64_19825`
3×	`pow1_binary64_19917` `distribute-rgt-out--_binary64_19810`
2×	`div-exp_binary64_19907` `cbrt-undiv_binary64_19890` `frac-2neg_binary64_19867` `clear-num_binary64_19855`
1×	`diff-log_binary64_19948` `frac-sub_binary64_19865` `sub-div_binary64_19863` `flip3--_binary64_19860` `sub-neg_binary64_19849` `flip--_binary64_19831`

Counts

3 → 111

Calls

3 calls:

27.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
5.0ms	(/.f64 y (+.f64 x y))
5.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 2172 to 456 computations (79% saved)

series293.0ms (6.7%)

Error

Counts

3 → 69

Calls

3 calls:

93.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
76.0ms	(/.f64 y (+.f64 x y))
72.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 2301 to 1518 computations (34% saved)

simplify78.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5011	2606

prune109.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	180	3	183

Error

Counts

183 → 3

Compiler

Compiled 2840 to 695 computations (75.5% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.0b	(-.f64 (/.f64 x (+.f64 x y)) (cbrt.f64 (pow.f64 (/.f64 y (+.f64 x y)) 3)))
0.1b	(pow.f64 (/.f64 y (+.f64 x y)) 3)
15.3b	(cbrt.f64 (pow.f64 (/.f64 y (+.f64 x y)) 3))

rewrite303.0ms (6.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

111×	`*-un-lft-identity_binary64_19856`
102×	`add-sqr-sqrt_binary64_19878`
96×	`cbrt-prod_binary64_19887`
95×	`times-frac_binary64_19862`
65×	`add-cube-cbrt_binary64_19891`
58×	`unpow-prod-down_binary64_19935` `cube-prod_binary64_19884`
45×	`cancel-sign-sub-inv_binary64_19822`
22×	`distribute-lft-out_binary64_19807`
14×	`associate-/r/_binary64_19802` `difference-of-squares_binary64_19825`
9×	`add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892`
7×	`div-inv_binary64_19853` `flip3-+_binary64_19859` `flip-+_binary64_19830`
6×	`add-log-exp_binary64_19895`
5×	`pow1_binary64_19917` `sqr-pow_binary64_19828`
4×	`associate-/r*_binary64_19800`
3×	`cube-div_binary64_19885` `unpow3_binary64_19922` `cube-mult_binary64_19886` `pow-unpow_binary64_19933` `associate-/l*_binary64_19801`
2×	`cbrt-div_binary64_19888` `div-exp_binary64_19907` `pow-exp_binary64_19924` `rem-cube-cbrt_binary64_19879` `cbrt-undiv_binary64_19890`
1×	`pow1/3_binary64_19938` `rem-cbrt-cube_binary64_19880` `pow-pow_binary64_19928` `pow-to-exp_binary64_19925` `diff-log_binary64_19948` `frac-sub_binary64_19865` `flip3--_binary64_19860` `sub-neg_binary64_19849` `flip--_binary64_19831` `distribute-lft-out--_binary64_19808` `frac-2neg_binary64_19867` `clear-num_binary64_19855`

Counts

4 → 213

Calls

4 calls:

49.0ms	(-.f64 (/.f64 x (+.f64 x y)) (cbrt.f64 (pow.f64 (/.f64 y (+.f64 x y)) 3)))
8.0ms	(cbrt.f64 (pow.f64 (/.f64 y (+.f64 x y)) 3))
7.0ms	(pow.f64 (/.f64 y (+.f64 x y)) 3)
5.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 5392 to 1914 computations (64.5% saved)

series461.0ms (10.5%)

Error

Counts

4 → 90

Calls

4 calls:

115.0ms	(pow.f64 (/.f64 y (+.f64 x y)) 3)
104.0ms	(-.f64 (/.f64 x (+.f64 x y)) (cbrt.f64 (pow.f64 (/.f64 y (+.f64 x y)) 3)))
80.0ms	(cbrt.f64 (pow.f64 (/.f64 y (+.f64 x y)) 3))
79.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 3629 to 2521 computations (30.5% saved)

simplify103.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

303 → 303

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5276	5443

prune208.0ms (4.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	303	0	303
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	303	3	306

Error

Counts

306 → 3

Compiler

Compiled 5769 to 1582 computations (72.6% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 x y) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))
0.8b	(+.f64 (.f64 x x) (.f64 y (+.f64 x y)))
3.7b	(-.f64 (pow.f64 x 3) (pow.f64 y 3))
42.6b	(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 (+.f64 x y) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))

rewrite260.0ms (6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

85×	`add-sqr-sqrt_binary64_19878`
48×	`difference-of-squares_binary64_19825`
43×	`*-un-lft-identity_binary64_19856`
39×	`unpow-prod-down_binary64_19935` `cube-prod_binary64_19884`
25×	`times-frac_binary64_19862` `sqr-pow_binary64_19828` `associate-/l*_binary64_19801`
15×	`distribute-lft-out--_binary64_19808`
13×	`flip3-+_binary64_19859` `flip-+_binary64_19830`
12×	`cancel-sign-sub-inv_binary64_19822`
11×	`add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892` `add-cube-cbrt_binary64_19891`
8×	`add-log-exp_binary64_19895` `frac-times_binary64_19866` `associate-/r/_binary64_19802`
6×	`pow1_binary64_19917`
4×	`associate-l/_binary64_19799` `associate-r/_binary64_19798` `associate-l_binary64_19797`
3×	`difference-cubes_binary64_19858` `associate-r_binary64_19796`
2×	`prod-exp_binary64_19905` `div-exp_binary64_19907` `cbrt-undiv_binary64_19890` `cbrt-unprod_binary64_19889` `flip3--_binary64_19860` `associate-/l/_binary64_19803` `flip--_binary64_19831` `distribute-rgt-in_binary64_19806` `associate-+r+_binary64_19788` `distribute-lft-in_binary64_19805`
1×	`frac-2neg_binary64_19867` `div-sub_binary64_19861` `clear-num_binary64_19855` `div-inv_binary64_19853` `associate-/r_binary64_19800` `diff-log_binary64_19948` `sub-neg_binary64_19849` `unpow3_binary64_19922` `cube-mult_binary64_19886` `sum-log_binary64_19947` `+-commutative_binary64_19786` `pow-prod-down_binary64_19927` `unswap-sqr_binary64_19824` `distribute-lft-out_binary64_19807` `-commutative_binary64_19787`

Counts

4 → 163

Calls

4 calls:

23.0ms	(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 (+.f64 x y) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
13.0ms	(-.f64 (pow.f64 x 3) (pow.f64 y 3))
9.0ms	(.f64 (+.f64 x y) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))
4.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 x y)))

Compiler

Compiled 5450 to 2000 computations (63.3% saved)

series556.0ms (12.7%)

Error

Counts

4 → 78

Calls

4 calls:

144.0ms	(-.f64 (pow.f64 x 3) (pow.f64 y 3))
138.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 x y)))
114.0ms	(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 (+.f64 x y) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
94.0ms	(.f64 (+.f64 x y) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))

Compiler

Compiled 3096 to 2182 computations (29.5% saved)

simplify88.0ms (2%)

Algorithm

1×	egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5161	5642

prune238.0ms (5.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	241	0	241
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	241	3	244

Error

Counts

244 → 3

Compiler

Compiled 6242 to 2217 computations (64.5% saved)

regimes141.0ms (3.2%)

Accuracy

Total 0.0b remaining (97.7%)

Threshold costs 0.0b (97.7%)

Compiler

Compiled 1457 to 890 computations (38.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms (0%)

sample819.0ms (18.7%)

Algorithm

1×

intervals

Results

191.0ms

8000×

body

128

valid

Compiler

Compiled 487 to 296 computations (39.2% saved)

Details

analyze205.0ms (4.7%)

sample14.0ms (0.3%)

simplify67.0ms (1.5%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite49.0ms (1.1%)

series99.0ms (2.3%)

simplify69.0ms (1.6%)

prune52.0ms (1.2%)

localize6.0ms (0.1%)

rewrite122.0ms (2.8%)

series293.0ms (6.7%)

simplify78.0ms (1.8%)

prune109.0ms (2.5%)

localize8.0ms (0.2%)

rewrite303.0ms (6.9%)

series461.0ms (10.5%)

simplify103.0ms (2.4%)

prune208.0ms (4.8%)

localize14.0ms (0.3%)

rewrite260.0ms (6%)

series556.0ms (12.7%)

simplify88.0ms (2%)

prune238.0ms (5.4%)

regimes141.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample819.0ms (18.7%)

Profiling