Details

analyze1.4s (13.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5129	209
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
3.5%	96.2%	0.2%	10
9.8%	89.9%	0.2%	11
14.1%	85.7%	0.2%	12
22.6%	77.1%	0.2%	13
23.7%	76%	0.2%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample29.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	219×	body	128	valid
2.0ms	17×	body	1024	valid
1.0ms	14×	body	512	valid
1.0ms	26×	body	128	invalid
0.0ms	5×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify189.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (177.0ms)

Iter	Nodes	Cost
0	4872	19
1	4872	19

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

18.8b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

2.5b	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
12.3b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

rewrite113.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

7.6b

Rules

17×	`*-un-lft-identity_binary64_15082`
14×	`add-sqr-sqrt_binary64_15104`
11×	`cancel-sign-sub-inv_binary64_15048`
10×	`times-frac_binary64_15088`
7×	`add-exp-log_binary64_15120` `add-log-exp_binary64_15121` `add-cbrt-cube_binary64_15118`
6×	`add-cube-cbrt_binary64_15117`
5×	`distribute-lft-out--_binary64_15034` `associate-/r*_binary64_15026`
4×	`difference-of-squares_binary64_15051` `flip3--_binary64_15086` `flip--_binary64_15057` `associate-/r/_binary64_15028`
2×	`pow1_binary64_15143` `div-exp_binary64_15133` `cbrt-undiv_binary64_15116` `div-inv_binary64_15079` `associate-*l/_binary64_15025` `associate-/l/_binary64_15029` `diff-log_binary64_15174` `frac-sub_binary64_15091`
1×	`prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `frac-2neg_binary64_15093` `clear-num_binary64_15081` `associate-/l*_binary64_15027` `sum-log_binary64_15173` `flip3-+_binary64_15085` `flip-+_binary64_15056` `sub-neg_binary64_15075` `distribute-lft-out_binary64_15033` `associate--l+_binary64_15019`

Counts

2 → 58

Calls

2 calls:

12.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
10.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

Compiler

Compiled 1318 to 272 computations (79.4% saved)

series840.0ms (8.3%)

Error

0.6b

Counts

2 → 54

Calls

2 calls:

511.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
283.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

Compiler

Compiled 2509 to 1399 computations (44.2% saved)

simplify86.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5679	2192

prune120.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	106	6	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	6	113

Error

0.0b

Counts

113 → 6

Compiler

Compiled 2006 to 458 computations (77.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 z (-.f64 a t))
0.0b	(/.f64 t (-.f64 a t))
1.8b	(+.f64 (/.f64 t (-.f64 a t)) 1)
2.4b	(*.f64 y (-.f64 (+.f64 (/.f64 t (-.f64 a t)) 1) (/.f64 z (-.f64 a t))))

rewrite237.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

79×	`add-sqr-sqrt_binary64_15104` `*-un-lft-identity_binary64_15082`
61×	`times-frac_binary64_15088`
44×	`add-cube-cbrt_binary64_15117`
42×	`cancel-sign-sub-inv_binary64_15048`
23×	`distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031`
16×	`difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034`
10×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118` `associate-/r*_binary64_15026`
8×	`associate-/r/_binary64_15028`
7×	`associate-r_binary64_15022`
6×	`pow1_binary64_15143` `add-log-exp_binary64_15121` `associate-/l*_binary64_15027`
5×	`flip3--_binary64_15086` `flip--_binary64_15057`
4×	`div-inv_binary64_15079` `associate-*r/_binary64_15024`
3×	`associate-l_binary64_15023`
2×	`sub-neg_binary64_15075` `associate--l+_binary64_15019` `flip3-+_binary64_15085` `frac-sub_binary64_15091` `flip-+_binary64_15056` `distribute-lft-out_binary64_15033` `div-exp_binary64_15133` `cbrt-undiv_binary64_15116` `frac-2neg_binary64_15093` `clear-num_binary64_15081`
1×	`pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `unswap-sqr_binary64_15050` `*-commutative_binary64_15013` `sum-log_binary64_15173` `+-commutative_binary64_15012`

Counts

4 → 158

Calls

4 calls:

32.0ms	(*.f64 y (-.f64 (+.f64 (/.f64 t (-.f64 a t)) 1) (/.f64 z (-.f64 a t))))
14.0ms	(+.f64 (/.f64 t (-.f64 a t)) 1)
9.0ms	(/.f64 t (-.f64 a t))
6.0ms	(/.f64 z (-.f64 a t))

Compiler

Compiled 4313 to 1413 computations (67.2% saved)

series709.0ms (7%)

Error

0.0b

Counts

4 → 65

Calls

4 calls:

371.0ms	(*.f64 y (-.f64 (+.f64 (/.f64 t (-.f64 a t)) 1) (/.f64 z (-.f64 a t))))
137.0ms	(/.f64 z (-.f64 a t))
67.0ms	(/.f64 t (-.f64 a t))
59.0ms	(+.f64 (/.f64 t (-.f64 a t)) 1)

Compiler

Compiled 3454 to 2232 computations (35.4% saved)

simplify139.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5107	4242

prune211.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	221	2	223
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	223	6	229

Error

0.0b

Counts

229 → 6

Compiler

Compiled 5159 to 1603 computations (68.9% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a t) y)
3.7b	(-.f64 (+.f64 x y) (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
9.6b	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))

rewrite416.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

373×	`times-frac_binary64_15088`
313×	`add-sqr-sqrt_binary64_15104`
309×	`*-un-lft-identity_binary64_15082`
152×	`add-cube-cbrt_binary64_15117`
100×	`cancel-sign-sub-inv_binary64_15048`
79×	`difference-of-squares_binary64_15051`
78×	`distribute-lft-out--_binary64_15034`
22×	`associate-/r*_binary64_15026`
14×	`div-inv_binary64_15079`
10×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118` `associate-/l*_binary64_15027`
8×	`add-log-exp_binary64_15121`
4×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116` `associate-/l/_binary64_15029`
3×	`pow1_binary64_15143` `div-sub_binary64_15087` `flip3--_binary64_15086` `flip--_binary64_15057`
2×	`frac-2neg_binary64_15093` `clear-num_binary64_15081` `associate-/r/_binary64_15028` `diff-log_binary64_15174` `frac-sub_binary64_15091`
1×	`sum-log_binary64_15173` `flip3-+_binary64_15085` `flip-+_binary64_15056` `sub-neg_binary64_15075` `distribute-lft-out_binary64_15033` `associate--r-_binary64_15021` `associate--l+_binary64_15019`

Counts

3 → 296

Calls

3 calls:

57.0ms	(-.f64 (+.f64 x y) (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
13.0ms	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))
6.0ms	(/.f64 (-.f64 a t) y)

Compiler

Compiled 7810 to 1492 computations (80.9% saved)

series965.0ms (9.5%)

Error

0.0b

Counts

3 → 69

Calls

3 calls:

505.0ms	(-.f64 (+.f64 x y) (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
280.0ms	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))
137.0ms	(/.f64 (-.f64 a t) y)

Compiler

Compiled 3046 to 1707 computations (44% saved)

simplify137.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

365 → 365

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5158	9763

prune318.0ms (3.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	365	0	365
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	365	6	371

Error

0.0b

Counts

371 → 6

Compiler

Compiled 8300 to 1045 computations (87.4% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 t (-.f64 z a))
4.3b	(/.f64 y (/.f64 t (-.f64 z a)))

rewrite138.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

138×	`times-frac_binary64_15088`
102×	`add-sqr-sqrt_binary64_15104` `*-un-lft-identity_binary64_15082`
70×	`add-cube-cbrt_binary64_15117`
26×	`associate-/r*_binary64_15026`
16×	`difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034`
11×	`associate-/r/_binary64_15028`
9×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
6×	`div-inv_binary64_15079` `associate-/l*_binary64_15027`
5×	`flip3--_binary64_15086` `flip--_binary64_15057`
4×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116`
2×	`pow1_binary64_15143` `add-log-exp_binary64_15121` `frac-2neg_binary64_15093` `clear-num_binary64_15081`

Counts

2 → 139

Calls

2 calls:

12.0ms	(/.f64 y (/.f64 t (-.f64 z a)))
5.0ms	(/.f64 t (-.f64 z a))

Compiler

Compiled 2734 to 710 computations (74% saved)

series455.0ms (4.5%)

Error

0.0b

Counts

2 → 42

Calls

2 calls:

256.0ms	(/.f64 y (/.f64 t (-.f64 z a)))
155.0ms	(/.f64 t (-.f64 z a))

Compiler

Compiled 1500 to 1016 computations (32.3% saved)

simplify93.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4973	3383
1	4973	3383

prune184.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	181	6	187

Error

0.0b

Counts

187 → 6

Compiler

Compiled 3048 to 607 computations (80.1% saved)

regimes876.0ms (8.7%)

Accuracy

Total 4.3b remaining (99.4%)

Threshold costs 0b (0%)

Compiler

Compiled 7968 to 6118 computations (23.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	25
1	42	25

end0.0ms (0%)

sample2.4s (23.8%)

Algorithm

1×

intervals

Results

368.0ms	6803×	body	128	valid
73.0ms	354×	body	1024	valid
73.0ms	463×	body	512	valid
37.0ms	752×	body	128	invalid
36.0ms	325×	body	256	valid
14.0ms	55×	body	2048	valid

Compiler

Compiled 1419 to 1063 computations (25.1% saved)

Details

analyze1.4s (13.8%)

sample29.0ms (0.3%)

simplify189.0ms (1.9%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite113.0ms (1.1%)

series840.0ms (8.3%)

simplify86.0ms (0.9%)

prune120.0ms (1.2%)

localize15.0ms (0.1%)

rewrite237.0ms (2.3%)

series709.0ms (7%)

simplify139.0ms (1.4%)

prune211.0ms (2.1%)

localize14.0ms (0.1%)

rewrite416.0ms (4.1%)

series965.0ms (9.5%)

simplify137.0ms (1.4%)

prune318.0ms (3.1%)

localize10.0ms (0.1%)

rewrite138.0ms (1.4%)

series455.0ms (4.5%)

simplify93.0ms (0.9%)

prune184.0ms (1.8%)

regimes876.0ms (8.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.4s (23.8%)

Profiling