Details

analyze435.0ms (4.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5216	32
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
12.5%	87.4%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.7%	0.1%	6
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample20.0ms (0.2%)

Algorithm

1×

intervals

Results

7.0ms	209×	body	128	valid
2.0ms	16×	body	1024	valid
2.0ms	20×	body	512	valid
1.0ms	11×	body	256	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify192.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (186.0ms)

Iter	Nodes	Cost
0	4852	16
1	4852	16

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

20.5b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) y)
2.2b	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
7.5b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

rewrite124.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

12.1b

Rules

21×	`*-un-lft-identity_binary64_18492`
17×	`add-sqr-sqrt_binary64_18514`
10×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528` `cancel-sign-sub-inv_binary64_18458`
9×	`add-cube-cbrt_binary64_18527`
8×	`times-frac_binary64_18498`
6×	`associate-l_binary64_18433`
5×	`pow1_binary64_18553` `add-log-exp_binary64_18531`
4×	`associate-l/_binary64_18435` `associate-/r/_binary64_18438` `associate-/r_binary64_18436` `difference-of-squares_binary64_18461`
3×	`distribute-lft-out_binary64_18443` `flip3--_binary64_18496` `flip--_binary64_18467` `associate-r_binary64_18432`
2×	`prod-exp_binary64_18541` `div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `cbrt-unprod_binary64_18525` `div-inv_binary64_18489` `associate-/l/_binary64_18439` `flip3-+_binary64_18495` `flip-+_binary64_18466` `distribute-lft-out--_binary64_18444`
1×	`frac-2neg_binary64_18503` `clear-num_binary64_18491` `associate-/l_binary64_18437` `diff-log_binary64_18584` `sub-neg_binary64_18485` `pow-prod-down_binary64_18563` `unswap-sqr_binary64_18460` `-commutative_binary64_18423`

Counts

3 → 74

Calls

3 calls:

9.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
8.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
7.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 1435 to 1072 computations (25.3% saved)

series348.0ms (3.6%)

Error

0.0b

Counts

3 → 44

Calls

3 calls:

126.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
122.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
57.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 1445 to 1070 computations (26% saved)

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4999	1915
1	4999	1915

prune108.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	2	119

Error

0.0b

Counts

119 → 2

Compiler

Compiled 1869 to 1131 computations (39.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
0.0b	(/.f64 y (+.f64 y 1))
2.2b	(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))

rewrite131.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`*-un-lft-identity_binary64_18492`
33×	`add-sqr-sqrt_binary64_18514`
25×	`add-cube-cbrt_binary64_18527` `times-frac_binary64_18498`
18×	`associate-l_binary64_18433`
13×	`cancel-sign-sub-inv_binary64_18458`
10×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
8×	`distribute-rgt-in_binary64_18442` `associate--r+_binary64_18428` `distribute-lft-in_binary64_18441`
7×	`distribute-lft-out_binary64_18443`
6×	`associate-r_binary64_18432`
5×	`add-log-exp_binary64_18531` `pow1_binary64_18553` `sub-neg_binary64_18485`
4×	`associate-/r/_binary64_18438` `associate-/r*_binary64_18436`
3×	`flip3--_binary64_18496` `flip--_binary64_18467` `associate-/l*_binary64_18437`
2×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `div-inv_binary64_18489` `flip3-+_binary64_18495` `flip-+_binary64_18466` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `frac-times_binary64_18502` `unswap-sqr_binary64_18460` `associate-*r/_binary64_18434` `difference-of-squares_binary64_18461`
1×	`diff-log_binary64_18584` `frac-2neg_binary64_18503` `clear-num_binary64_18491` `pow-prod-down_binary64_18563` `associate-l/_binary64_18435` `distribute-lft-out--_binary64_18444` `-commutative_binary64_18423`

Counts

3 → 105

Calls

3 calls:

13.0ms	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
5.0ms	(/.f64 y (+.f64 y 1))
5.0ms	(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))

Compiler

Compiled 2095 to 1479 computations (29.4% saved)

series309.0ms (3.2%)

Error

0.0b

Counts

3 → 46

Calls

3 calls:

127.0ms	(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))
120.0ms	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
28.0ms	(/.f64 y (+.f64 y 1))

Compiler

Compiled 1506 to 1148 computations (23.8% saved)

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5028	2431

prune133.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	151	2	153

Error

0.0b

Counts

153 → 2

Compiler

Compiled 2547 to 1719 computations (32.5% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.1b	(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y))))
8.8b	(/.f64 x (*.f64 y y))
9.1b	(+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
9.9b	(-.f64 (+.f64 (/.f64 x (.f64 y y)) (+.f64 x (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 1 (.f64 y y)))))

rewrite619.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

170×	`*-un-lft-identity_binary64_18492`
122×	`distribute-lft-out_binary64_18443`
72×	`add-log-exp_binary64_18531`
39×	`sum-log_binary64_18583`
32×	`frac-add_binary64_18500` `div-inv_binary64_18489`
28×	`distribute-lft-out--_binary64_18444`
22×	`flip3-+_binary64_18495` `flip-+_binary64_18466`
20×	`frac-sub_binary64_18501`
12×	`diff-log_binary64_18584`
9×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528` `add-sqr-sqrt_binary64_18514`
7×	`add-cube-cbrt_binary64_18527` `cancel-sign-sub-inv_binary64_18458` `times-frac_binary64_18498`
4×	`pow1_binary64_18553`
3×	`associate-/l*_binary64_18437`
2×	`distribute-rgt-out_binary64_18445` `cube-mult_binary64_18522` `associate-+r+_binary64_18424` `+-commutative_binary64_18422` `div-exp_binary64_18543` `cbrt-undiv_binary64_18526`
1×	`flip3--_binary64_18496` `sub-neg_binary64_18485` `flip--_binary64_18467` `difference-of-squares_binary64_18461` `associate--l+_binary64_18429` `associate--r+_binary64_18428` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `frac-2neg_binary64_18503` `clear-num_binary64_18491` `associate-/r*_binary64_18436`

Counts

4 → 143

Calls

4 calls:

82.0ms	(-.f64 (+.f64 (/.f64 x (.f64 y y)) (+.f64 x (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 1 (.f64 y y)))))
40.0ms	(+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
33.0ms	(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y))))
5.0ms	(/.f64 x (*.f64 y y))

Compiler

Compiled 9072 to 4911 computations (45.9% saved)

series769.0ms (7.9%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

288.0ms	(-.f64 (+.f64 (/.f64 x (.f64 y y)) (+.f64 x (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 1 (.f64 y y)))))
206.0ms	(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y))))
144.0ms	(+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
77.0ms	(/.f64 x (*.f64 y y))

Compiler

Compiled 3219 to 2229 computations (30.8% saved)

simplify101.0ms (1%)

Algorithm

1×	egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4978	10169
1	4978	10169

prune464.0ms (4.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	192	1	193
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	192	3	195

Error

0.0b

Counts

195 → 3

Compiler

Compiled 9317 to 5150 computations (44.7% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.8b	(/.f64 x (*.f64 y y))
9.1b	(+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) x)))
9.9b	(-.f64 (+.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) x))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 x y))))
13.9b	(log.f64 (-.f64 (+.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) x))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 x y)))))

rewrite1.3s (13%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

324×	`*-un-lft-identity_binary64_18492`
239×	`distribute-lft-out_binary64_18443`
114×	`frac-add_binary64_18500`
67×	`add-log-exp_binary64_18531`
64×	`distribute-lft-out--_binary64_18444` `div-inv_binary64_18489`
60×	`frac-sub_binary64_18501`
57×	`flip3-+_binary64_18495` `flip-+_binary64_18466`
36×	`log-prod_binary64_18578` `sum-log_binary64_18583`
32×	`log-div_binary64_18579`
12×	`add-sqr-sqrt_binary64_18514` `diff-log_binary64_18584`
10×	`add-exp-log_binary64_18530`
9×	`add-cbrt-cube_binary64_18528`
8×	`add-cube-cbrt_binary64_18527`
7×	`cancel-sign-sub-inv_binary64_18458`
5×	`pow1_binary64_18553` `times-frac_binary64_18498`
3×	`associate-/l*_binary64_18437`
2×	`flip3--_binary64_18496` `flip--_binary64_18467` `difference-of-squares_binary64_18461` `div-exp_binary64_18543` `cbrt-undiv_binary64_18526`
1×	`log-pow_binary64_18581` `rem-log-exp_binary64_18533` `sub-neg_binary64_18485` `distribute-rgt-out_binary64_18445` `cube-mult_binary64_18522` `associate--l+_binary64_18429` `associate--r+_binary64_18428` `associate-+r+_binary64_18424` `+-commutative_binary64_18422` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `frac-2neg_binary64_18503` `clear-num_binary64_18491` `associate-/r*_binary64_18436`

Counts

4 → 217

Calls

4 calls:

80.0ms	(-.f64 (+.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) x))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 x y))))
77.0ms	(log.f64 (-.f64 (+.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) x))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 x y)))))
35.0ms	(+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) x)))
11.0ms	(/.f64 x (*.f64 y y))

Compiler

Compiled 18161 to 10154 computations (44.1% saved)

series767.0ms (7.9%)

Error

0.0b

Counts

4 → 44

Calls

4 calls:

275.0ms	(-.f64 (+.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) x))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 x y))))
225.0ms	(log.f64 (-.f64 (+.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) x))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 x y)))))
136.0ms	(+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) x)))
80.0ms	(/.f64 x (*.f64 y y))

Compiler

Compiled 3296 to 2484 computations (24.6% saved)

simplify189.0ms (2%)

Algorithm

1×	egg-herbie

Counts

261 → 261

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5615	21907

prune1.1s (11.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	261	0	261
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	261	3	264

Error

0.0b

Counts

264 → 3

Compiler

Compiled 17077 to 9504 computations (44.3% saved)

regimes808.0ms (8.3%)

Accuracy

Total 0.0b remaining (32.9%)

Threshold costs 0.0b (32.9%)

Compiler

Compiled 5971 to 4964 computations (16.9% saved)

bsearch51.0ms (0.5%)

Steps

Iters	Range		Point
9	0.909998429427138	145471.0502594338	10184.918629957767
11	-128232885230178.08	-2.871428070145595e-08	-11918.280626172522

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	300	88
1	300	88

end0.0ms (0%)

sample1.6s (16.2%)

Algorithm

1×

intervals

Results

199.0ms	6314×	body	128	valid
70.0ms	574×	body	1024	valid
63.0ms	650×	body	512	valid
31.0ms	455×	body	256	valid
1.0ms	7×	body	2048	valid

Compiler

Compiled 1086 to 883 computations (18.7% saved)

Details

analyze435.0ms (4.5%)

sample20.0ms (0.2%)

simplify192.0ms (2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite124.0ms (1.3%)

series348.0ms (3.6%)

simplify70.0ms (0.7%)

prune108.0ms (1.1%)

localize7.0ms (0.1%)

rewrite131.0ms (1.3%)

series309.0ms (3.2%)

simplify77.0ms (0.8%)

prune133.0ms (1.4%)

localize20.0ms (0.2%)

rewrite619.0ms (6.4%)

series769.0ms (7.9%)

simplify101.0ms (1%)

prune464.0ms (4.8%)

localize21.0ms (0.2%)

rewrite1.3s (13%)

series767.0ms (7.9%)

simplify189.0ms (2%)

prune1.1s (11.2%)

regimes808.0ms (8.3%)

bsearch51.0ms (0.5%)

simplify11.0ms (0.1%)

end0.0ms (0%)

sample1.6s (16.2%)

Profiling