Details

analyze558.0ms (15.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1691	40
1	1691	40
0	3	3
1	3	3

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
31.2%	68.6%	0.1%	7
40.6%	59.3%	0.1%	8
43.7%	56.2%	0.1%	9
56.6%	43.3%	0.1%	10
61%	37.3%	1.7%	11
62.1%	34.8%	3.1%	12
68.6%	25.6%	5.8%	13
70.6%	22.1%	7.4%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	50×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify25.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	357	10
1	357	10

prune2.0ms (0.1%)

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

rewrite57.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`*-un-lft-identity_binary64_78`
20×	`add-sqr-sqrt_binary64_100`
15×	`times-frac_binary64_84`
12×	`add-cube-cbrt_binary64_113`
5×	`associate-/l*_binary64_23`
4×	`add-exp-log_binary64_116` `add-log-exp_binary64_117` `add-cbrt-cube_binary64_114` `difference-of-squares_binary64_47` `distribute-lft-out--_binary64_30`
3×	`associate-/r*_binary64_22`
2×	`pow1_binary64_139` `div-sub_binary64_83` `associate-/l/_binary64_25`
1×	`div-exp_binary64_129` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `flip3--_binary64_82` `flip--_binary64_53` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `distribute-lft-out_binary64_29` `associate-+r-_binary64_12` `+-commutative_binary64_8`

Counts

2 → 51

Calls

2 calls:

9.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
6.0ms	(/.f64 (-.f64 y x) z)

Compiler

Compiled 748 to 211 computations (71.8% saved)

series280.0ms (7.8%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

149.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
115.0ms	(/.f64 (-.f64 y x) z)

Compiler

Compiled 620 to 372 computations (40% saved)

simplify63.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5014	953

prune56.0ms (1.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	2	85

Error

Counts

85 → 2

Compiler

Compiled 905 to 208 computations (77% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite80.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`*-un-lft-identity_binary64_78`
30×	`add-sqr-sqrt_binary64_100`
28×	`times-frac_binary64_84`
26×	`cancel-sign-sub-inv_binary64_44`
18×	`add-cube-cbrt_binary64_113`
14×	`associate-+r+_binary64_10`
9×	`add-log-exp_binary64_117`
5×	`distribute-lft-out--_binary64_30`
4×	`div-inv_binary64_75` `difference-of-squares_binary64_47`
2×	`diff-log_binary64_170` `sum-log_binary64_169` `pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `distribute-lft-out_binary64_29` `sub-neg_binary64_71`
1×	`flip3-+_binary64_81` `flip-+_binary64_52` `associate-+r-_binary64_12` `+-commutative_binary64_8` `frac-sub_binary64_87` `sub-div_binary64_85` `flip3--_binary64_82` `flip--_binary64_53` `distribute-rgt-out--_binary64_32`

Counts

2 → 64

Calls

2 calls:

18.0ms	(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
14.0ms	(-.f64 (/.f64 y z) (/.f64 x z))

Compiler

Compiled 1113 to 274 computations (75.4% saved)

series284.0ms (7.9%)

Error

Counts

2 → 33

Calls

2 calls:

146.0ms	(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
125.0ms	(-.f64 (/.f64 y z) (/.f64 x z))

Compiler

Compiled 620 to 372 computations (40% saved)

simplify91.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4875	975
1	4875	975

prune50.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	97	2	99

Error

Counts

99 → 2

Compiler

Compiled 1108 to 224 computations (79.8% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (*.f64 z (+.f64 x y))))
0.0b	(*.f64 z (+.f64 x y))
3.7b	(-.f64 (.f64 y y) (.f64 x x))
28.8b	(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (*.f64 z (+.f64 x y)))

rewrite84.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`*-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-/l_binary64_23` `associate-r_binary64_18`
3×	`difference-of-squares_binary64_47` `flip3-+_binary64_81` `flip-+_binary64_52` `associate-l_binary64_19`
2×	`prod-exp_binary64_127` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `cbrt-unprod_binary64_111` `div-sub_binary64_83` `flip3--_binary64_82` `associate-/l/_binary64_25` `flip--_binary64_53` `associate-/r/_binary64_24` `distribute-lft-out_binary64_29`
1×	`frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/r_binary64_22` `diff-log_binary64_170` `sub-neg_binary64_71` `cancel-sign-sub-inv_binary64_44` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `-commutative_binary64_9` `sum-log_binary64_169` `associate-+r-_binary64_12` `+-commutative_binary64_8`

Counts

4 → 77

Calls

4 calls:

9.0ms	(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (*.f64 z (+.f64 x y)))
8.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (*.f64 z (+.f64 x y))))
6.0ms	(*.f64 z (+.f64 x y))
4.0ms	(-.f64 (.f64 y y) (.f64 x x))

Compiler

Compiled 1872 to 339 computations (81.9% saved)

series828.0ms (23.1%)

Error

Counts

4 → 60

Calls

4 calls:

381.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (*.f64 z (+.f64 x y))))
236.0ms	(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (*.f64 z (+.f64 x y)))
94.0ms	(*.f64 z (+.f64 x y))
86.0ms	(-.f64 (.f64 y y) (.f64 x x))

Compiler

Compiled 1829 to 1031 computations (43.6% saved)

simplify66.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4974	1578
1	4974	1578

prune78.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	137	2	139

Error

Counts

139 → 2

Compiler

Compiled 2064 to 429 computations (79.2% saved)

regimes137.0ms (3.8%)

Accuracy

Total 0.0b remaining (85%)

Threshold costs 0.0b (85%)

Compiler

Compiled 948 to 734 computations (22.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	13
1	26	13

end0.0ms (0%)

sample801.0ms (22.4%)

Algorithm

1×

intervals

Results

204.0ms	8000×	body	128	valid
37.0ms	1417×	body	128	invalid

Compiler

Compiled 249 to 193 computations (22.5% saved)

Details

analyze558.0ms (15.6%)

sample18.0ms (0.5%)

simplify25.0ms (0.7%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite57.0ms (1.6%)

series280.0ms (7.8%)

simplify63.0ms (1.8%)

prune56.0ms (1.6%)

localize6.0ms (0.2%)

rewrite80.0ms (2.2%)

series284.0ms (7.9%)

simplify91.0ms (2.6%)

prune50.0ms (1.4%)

localize10.0ms (0.3%)

rewrite84.0ms (2.3%)

series828.0ms (23.1%)

simplify66.0ms (1.8%)

prune78.0ms (2.2%)

regimes137.0ms (3.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample801.0ms (22.4%)

Profiling