Details

analyze660.0ms (12.2%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	40
1	779	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
49.7%	40.8%	9.5%	11
58.2%	30.2%	11.6%	12
58.2%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14
65%	19.8%	15.3%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample404.0ms (7.5%)

Algorithm

2×

intervals

Results

14.0ms	512×	body	128	valid
4.0ms	137×	body	128	invalid

Compiler

Compiled 2583 to 3226 computations (-24.9% saved)

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	301	10
1	301	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 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
0.0b	(*.f64 y (-.f64 z x))

rewrite59.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_100` `cancel-sign-sub-inv_binary64_44`
10×	`*-un-lft-identity_binary64_78`
8×	`add-cube-cbrt_binary64_113` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `associate-+r+_binary64_10`
5×	`associate-r_binary64_18`
4×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-log-exp_binary64_117` `add-cbrt-cube_binary64_114` `sub-neg_binary64_71`
3×	`associate-l_binary64_19`
2×	`associate-*r/_binary64_20`
1×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `flip3--_binary64_82` `flip--_binary64_53` `difference-of-squares_binary64_47` `distribute-lft-out--_binary64_30` `*-commutative_binary64_9` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `+-commutative_binary64_8`

Counts

2 → 49

Calls

2 calls:

8.0ms	(*.f64 y (-.f64 z x))
4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Compiler

Compiled 682 to 192 computations (71.8% saved)

series328.0ms (6%)

Error

Counts

2 → 33

Calls

2 calls:

163.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
144.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 618 to 364 computations (41.1% saved)

simplify62.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5323	764

prune54.0ms (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	3	83

Error

Counts

83 → 3

Compiler

Compiled 840 to 183 computations (78.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 z y) (neg.f64 (.f64 x y))))
0.0b	(+.f64 (.f64 z y) (neg.f64 (.f64 x y)))

rewrite39.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-log-exp_binary64_117`
7×	`sum-log_binary64_169`
4×	`*-un-lft-identity_binary64_78` `associate-+r-_binary64_12`
2×	`neg-log_binary64_171` `pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `flip3-+_binary64_81` `unsub-neg_binary64_72` `flip-+_binary64_52` `neg-sub0_binary64_73` `+-commutative_binary64_8`
1×	`distribute-lft-neg-in_binary64_35` `distribute-rgt-out_binary64_31` `distribute-lft-out_binary64_29` `associate-+r+_binary64_10`

Counts

2 → 32

Calls

2 calls:

6.0ms	(+.f64 x (+.f64 (.f64 z y) (neg.f64 (.f64 x y))))
4.0ms	(+.f64 (.f64 z y) (neg.f64 (.f64 x y)))

Compiler

Compiled 575 to 119 computations (79.3% saved)

series366.0ms (6.8%)

Error

Counts

2 → 33

Calls

2 calls:

200.0ms	(+.f64 x (+.f64 (.f64 z y) (neg.f64 (.f64 x y))))
150.0ms	(+.f64 (.f64 z y) (neg.f64 (.f64 x y)))

Compiler

Compiled 624 to 371 computations (40.5% saved)

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5313	635

prune38.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	65	3	68

Error

Counts

68 → 3

Compiler

Compiled 633 to 121 computations (80.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x)))
2.5b	(-.f64 (.f64 z z) (.f64 x x))
9.0b	(.f64 y (-.f64 (.f64 z z) (*.f64 x x)))
19.0b	(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x))

rewrite102.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`*-un-lft-identity_binary64_78`
11×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
10×	`add-sqr-sqrt_binary64_100`
8×	`add-log-exp_binary64_117` `add-cube-cbrt_binary64_113`
6×	`pow1_binary64_139`
4×	`times-frac_binary64_84` `associate-r/_binary64_20` `associate-/r_binary64_22` `associate-r_binary64_18`
3×	`distribute-lft-out_binary64_29` `flip3--_binary64_82` `flip--_binary64_53` `sub-neg_binary64_71` `cancel-sign-sub-inv_binary64_44` `associate-l_binary64_19`
2×	`prod-exp_binary64_127` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `cbrt-unprod_binary64_111` `associate-/l/_binary64_25` `flip3-+_binary64_81` `associate-/r/_binary64_24` `flip-+_binary64_52` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `difference-of-squares_binary64_47`
1×	`frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l_binary64_23` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `-commutative_binary64_9` `diff-log_binary64_170` `sum-log_binary64_169` `+-commutative_binary64_8`

Counts

4 → 77

Calls

4 calls:

10.0ms	(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x))
7.0ms	(+.f64 x (/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x)))
7.0ms	(.f64 y (-.f64 (.f64 z z) (*.f64 x x)))
4.0ms	(-.f64 (.f64 z z) (.f64 x x))

Compiler

Compiled 1910 to 352 computations (81.6% saved)

series1.3s (23.8%)

Error

Counts

4 → 60

Calls

4 calls:

529.0ms	(+.f64 x (/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x)))
326.0ms	(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x))
255.0ms	(.f64 y (-.f64 (.f64 z z) (*.f64 x x)))
138.0ms	(-.f64 (.f64 z z) (.f64 x x))

Compiler

Compiled 1845 to 1213 computations (34.3% saved)

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4968	1669
1	4968	1669

prune93.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	137	3	140

Error

Counts

140 → 3

Compiler

Compiled 2011 to 347 computations (82.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y))))
0.1b	(*.f64 (-.f64 z x) (sqrt.f64 y))
0.2b	(.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y)))

rewrite80.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_100`
11×	`associate-l_binary64_19`
10×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `*-un-lft-identity_binary64_78`
8×	`add-cube-cbrt_binary64_113`
7×	`sqrt-prod_binary64_94` `associate-r_binary64_18`
5×	`add-log-exp_binary64_117`
4×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `associate-*l/_binary64_21`
2×	`flip3--_binary64_82` `associate-r/_binary64_20` `flip--_binary64_53` `-commutative_binary64_9` `unswap-sqr_binary64_46`
1×	`difference-of-squares_binary64_47` `distribute-lft-out--_binary64_30` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `+-commutative_binary64_8`

Counts

3 → 60

Calls

3 calls:

10.0ms	(*.f64 (-.f64 z x) (sqrt.f64 y))
10.0ms	(.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y)))
4.0ms	(+.f64 x (.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y))))

Compiler

Compiled 1150 to 245 computations (78.7% saved)

series524.0ms (9.7%)

Error

Counts

3 → 47

Calls

3 calls:

187.0ms	(*.f64 (-.f64 z x) (sqrt.f64 y))
180.0ms	(+.f64 x (.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y))))
133.0ms	(.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y)))

Compiler

Compiled 1206 to 694 computations (42.5% saved)

simplify64.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5305	1096

prune65.0ms (1.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Error

Counts

110 → 3

Compiler

Compiled 1243 to 247 computations (80.1% saved)

regimes156.0ms (2.9%)

Accuracy

Total 0.0b remaining (86.5%)

Threshold costs 0.0b (86.5%)

Compiler

Compiled 872 to 762 computations (12.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms (0%)

sample854.0ms (15.7%)

Algorithm

1×

intervals

Results

188.0ms	8000×	body	128	valid
56.0ms	2175×	body	128	invalid

Compiler

Compiled 230 to 200 computations (13% saved)

Details

analyze660.0ms (12.2%)

sample404.0ms (7.5%)

simplify18.0ms (0.3%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite59.0ms (1.1%)

series328.0ms (6%)

simplify62.0ms (1.1%)

prune54.0ms (1%)

localize7.0ms (0.1%)

rewrite39.0ms (0.7%)

series366.0ms (6.8%)

simplify65.0ms (1.2%)

prune38.0ms (0.7%)

localize10.0ms (0.2%)

rewrite102.0ms (1.9%)

series1.3s (23.8%)

simplify65.0ms (1.2%)

prune93.0ms (1.7%)

localize7.0ms (0.1%)

rewrite80.0ms (1.5%)

series524.0ms (9.7%)

simplify64.0ms (1.2%)

prune65.0ms (1.2%)

regimes156.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample854.0ms (15.7%)

Profiling