Details

analyze4.4s (20.1%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5144	812
0	8	8
1	8	8

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14
0%	99.6%	0.4%	14

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 40 to 38 computations (5% saved)

sample4.1s (18.8%)

Algorithm

2×

intervals

Results

35.0ms	489×	body	128	invalid
30.0ms	512×	body	128	valid

Compiler

Compiled 10439 to 14085 computations (-34.9% saved)

simplify477.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (471.0ms)

Iter	Nodes	Cost
0	3126	28
1	3126	28

prune4.0ms (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

5.9b

Counts

2 → 1

Compiler

Compiled 38 to 36 computations (5.3% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.1b	(.f64 (+.f64 a (.f64 b c)) c)
8.4b	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

rewrite133.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

14×	`associate-*l/_binary64_19117`
11×	`pow1_binary64_19235` `add-exp-log_binary64_19212` `add-log-exp_binary64_19213` `add-cbrt-cube_binary64_19210`
9×	`add-sqr-sqrt_binary64_19196`
7×	`add-cube-cbrt_binary64_19209` `*-un-lft-identity_binary64_19174` `flip3-+_binary64_19177` `flip-+_binary64_19148`
6×	`associate-r_binary64_19114`
4×	`pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `associate-l_binary64_19115` `frac-sub_binary64_19183`
2×	`*-commutative_binary64_19105` `sum-log_binary64_19265` `diff-log_binary64_19266`
1×	`unswap-sqr_binary64_19142` `+-commutative_binary64_19104` `flip3--_binary64_19178` `sub-neg_binary64_19167` `flip--_binary64_19149` `cancel-sign-sub-inv_binary64_19140` `associate--l+_binary64_19111`

Counts

4 → 69

Calls

4 calls:

8.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
8.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
6.0ms	(.f64 (+.f64 a (.f64 b c)) c)
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 2211 to 463 computations (79.1% saved)

series2.1s (9.6%)

Error

0.3b

Counts

4 → 114

Calls

4 calls:

1.2s	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
338.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
209.0ms	(+.f64 (.f64 x y) (.f64 z t))
193.0ms	(.f64 (+.f64 a (.f64 b c)) c)

Compiler

Compiled 5255 to 3842 computations (26.9% saved)

simplify72.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5008	3128

prune198.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	174	9	183
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	174	10	184

Error

0.3b

Counts

184 → 10

Compiler

Compiled 4053 to 882 computations (78.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 a (*.f64 b c))
0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 i c)))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
3.5b	(.f64 (+.f64 a (.f64 b c)) (*.f64 i c))

rewrite100.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

13×	`add-log-exp_binary64_19213`
9×	`pow1_binary64_19235` `add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
7×	`flip3-+_binary64_19177` `flip-+_binary64_19148`
6×	`associate-*l/_binary64_19117`
5×	`add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196` `*-un-lft-identity_binary64_19174`
4×	`frac-sub_binary64_19183`
3×	`pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `associate-l_binary64_19115` `sum-log_binary64_19265`
2×	`+-commutative_binary64_19104` `diff-log_binary64_19266`
1×	`associate-r_binary64_19114` `*-commutative_binary64_19105` `flip3--_binary64_19178` `sub-neg_binary64_19167` `flip--_binary64_19149` `cancel-sign-sub-inv_binary64_19140` `associate--l+_binary64_19111`

Counts

4 → 60

Calls

4 calls:

8.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 i c)))
7.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 i c))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))
3.0ms	(+.f64 a (*.f64 b c))

Compiler

Compiled 1973 to 397 computations (79.9% saved)

series2.0s (9.3%)

Error

0.3b

Counts

4 → 114

Calls

4 calls:

1.2s	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 i c)))
353.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 i c))
208.0ms	(+.f64 (.f64 x y) (.f64 z t))
114.0ms	(+.f64 a (*.f64 b c))

Compiler

Compiled 5201 to 3720 computations (28.5% saved)

simplify56.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5884	2950

prune162.0ms (0.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	174	10	184

Error

0.3b

Counts

184 → 10

Compiler

Compiled 3814 to 796 computations (79.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.4b	(.f64 i (+.f64 a (.f64 b c)))
4.6b	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))

rewrite128.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

14×	`associate-*r/_binary64_19116`
11×	`pow1_binary64_19235` `add-exp-log_binary64_19212` `add-log-exp_binary64_19213` `add-cbrt-cube_binary64_19210`
9×	`add-sqr-sqrt_binary64_19196` `distribute-rgt-in_binary64_19124` `distribute-lft-in_binary64_19123`
7×	`add-cube-cbrt_binary64_19209` `*-un-lft-identity_binary64_19174` `flip3-+_binary64_19177` `flip-+_binary64_19148`
6×	`associate-l_binary64_19115`
4×	`pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `associate-r_binary64_19114` `frac-sub_binary64_19183` `associate--r+_binary64_19110`
2×	`*-commutative_binary64_19105` `sum-log_binary64_19265` `diff-log_binary64_19266`
1×	`unswap-sqr_binary64_19142` `+-commutative_binary64_19104` `flip3--_binary64_19178` `sub-neg_binary64_19167` `flip--_binary64_19149` `cancel-sign-sub-inv_binary64_19140` `associate--l+_binary64_19111`

Counts

4 → 79

Calls

4 calls:

8.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))
7.0ms	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))
6.0ms	(.f64 i (+.f64 a (.f64 b c)))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 2437 to 516 computations (78.8% saved)

series2.1s (9.9%)

Error

0.3b

Counts

4 → 117

Calls

4 calls:

1.2s	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))
365.0ms	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))
258.0ms	(.f64 i (+.f64 a (.f64 b c)))
220.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 5426 to 3867 computations (28.7% saved)

simplify81.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5172	3322

prune191.0ms (0.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	194	2	196
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	195	11	206

Error

0.3b

Counts

206 → 11

Compiler

Compiled 4323 to 915 computations (78.8% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)
8.4b	(.f64 (.f64 (.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 c) (cbrt.f64 c))) (cbrt.f64 c)) i)

rewrite94.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

18×	`pow1_binary64_19235` `add-exp-log_binary64_19212`
13×	`add-cbrt-cube_binary64_19210`
10×	`pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207`
9×	`cbrt-prod_binary64_19205`
8×	`add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196` `*-un-lft-identity_binary64_19174`
6×	`associate-*l/_binary64_19117`
4×	`add-log-exp_binary64_19213`
3×	`associate-r_binary64_19114` `pow1/3_binary64_19256`
1×	`flip3-+_binary64_19177` `flip-+_binary64_19148` `associate-l_binary64_19115` `*-commutative_binary64_19105`

Counts

4 → 59

Calls

4 calls:

14.0ms	(.f64 (.f64 (.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 c) (cbrt.f64 c))) (cbrt.f64 c)) i)
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)

Compiler

Compiled 1949 to 448 computations (77% saved)

series788.0ms (3.6%)

Error

0.3b

Counts

4 → 30

Calls

4 calls:

414.0ms	(.f64 (.f64 (.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 c) (cbrt.f64 c))) (cbrt.f64 c)) i)
116.0ms	(cbrt.f64 c)
115.0ms	(cbrt.f64 c)
111.0ms	(cbrt.f64 c)

Compiler

Compiled 1909 to 1376 computations (27.9% saved)

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4941	868
1	4941	868

prune97.0ms (0.4%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	89	11	100

Error

0.3b

Counts

100 → 11

Compiler

Compiled 2229 to 504 computations (77.4% saved)

regimes1.7s (7.7%)

Accuracy

Total 1.1b remaining (58.7%)

Threshold costs 0b (0%)

Compiler

Compiled 19343 to 16150 computations (16.5% saved)

bsearch0.0ms (0%)

simplify32.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	95	28
1	95	28

Remove

(sort z t)

(sort x y)

Compiler

Compiled 76 to 72 computations (5.3% saved)

end0.0ms (0%)

sample2.6s (11.9%)

Algorithm

1×

intervals

Results

470.0ms	8000×	body	128	valid
424.0ms	7311×	body	128	invalid

Compiler

Compiled 1286 to 1079 computations (16.1% saved)

Details

analyze4.4s (20.1%)

sample4.1s (18.8%)

simplify477.0ms (2.2%)

prune4.0ms (0%)

localize21.0ms (0.1%)

rewrite133.0ms (0.6%)

series2.1s (9.6%)

simplify72.0ms (0.3%)

prune198.0ms (0.9%)

localize15.0ms (0.1%)

rewrite100.0ms (0.5%)

series2.0s (9.3%)

simplify56.0ms (0.3%)

prune162.0ms (0.7%)

localize15.0ms (0.1%)

rewrite128.0ms (0.6%)

series2.1s (9.9%)

simplify81.0ms (0.4%)

prune191.0ms (0.9%)

localize19.0ms (0.1%)

rewrite94.0ms (0.4%)

series788.0ms (3.6%)

simplify96.0ms (0.4%)

prune97.0ms (0.4%)

regimes1.7s (7.7%)

bsearch0.0ms (0%)

simplify32.0ms (0.1%)

end0.0ms (0%)

sample2.6s (11.9%)

Profiling