Details

analyze273.0ms (10.4%)

Algorithm

1×

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
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
31.2%	64%	4.8%	9
31.2%	42.1%	26.7%	10
35.9%	37.1%	27.1%	11
38.2%	32.2%	29.6%	12
47.8%	21.6%	30.6%	13
50.2%	19%	30.8%	14

Compiler

Compiled 16 to 9 computations (43.8% saved)

sample19.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
3.0ms	17×	body	128	invalid

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify95.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	41	13
1	41	13

prune4.0ms (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 → 2

Compiler

Compiled 33 to 24 computations (27.3% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite25.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_14098`
10×	`sum-log_binary64_14150`
3×	`add-cbrt-cube_binary64_14095` `flip-+_binary64_14033` `add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059` `pow1_binary64_14120` `+-commutative_binary64_13989` `add-sqr-sqrt_binary64_14081` `flip3-+_binary64_14062` `add-exp-log_binary64_14097`
2×	`associate-+l+_binary64_13992`

Counts

3 → 38

Calls

3 calls:

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

series122.0ms (4.7%)

Counts

3 → 9

Calls

3 calls:

48.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
41.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
33.0ms	(+.f64 (.f64 x y) (.f64 z z))

simplify85.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4868	767
1	4868	767

prune43.0ms (1.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	45	4	49

Error

0.0b

Counts

49 → 4

Compiler

Compiled 922 to 230 computations (75.1% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_14098`
6×	`flip-+_binary64_14033` `flip3-+_binary64_14062`
4×	`sum-log_binary64_14150` `associate-*r/_binary64_14001` `frac-add_binary64_14067`
2×	`add-cbrt-cube_binary64_14095` `add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059` `pow1_binary64_14120` `+-commutative_binary64_13989` `add-sqr-sqrt_binary64_14081` `associate-+r+_binary64_13991` `add-exp-log_binary64_14097`
1×	`distribute-rgt-in_binary64_14009` `distribute-lft-in_binary64_14008` `associate-+l+_binary64_13992`

Counts

2 → 30

Calls

2 calls:

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

series79.0ms (3%)

Counts

2 → 6

Calls

2 calls:

43.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z (+.f64 z z)))
36.0ms	(+.f64 (.f64 x y) (.f64 z z))

simplify96.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4875	640
1	4875	640

prune30.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	35	5	40

Error

0.0b

Counts

40 → 5

Compiler

Compiled 698 to 220 computations (68.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
0.2b	(.f64 z (.f64 z 3))

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_14095` `pow1_binary64_14120` `add-exp-log_binary64_14097`
4×	`add-log-exp_binary64_14098`
3×	`add-cube-cbrt_binary64_14094` `prod-exp_binary64_14108` `-un-lft-identity_binary64_14059` `cbrt-unprod_binary64_14092` `pow-prod-down_binary64_14130` `add-sqr-sqrt_binary64_14081` `associate-l*_binary64_14000`
1×	`sum-log_binary64_14150` `associate-r_binary64_13999` `flip-+_binary64_14033` `*-commutative_binary64_13990` `+-commutative_binary64_13989` `flip3-+_binary64_14062`

Counts

2 → 29

Calls

2 calls:

5.0ms	(.f64 z (.f64 z 3))
4.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))

series65.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

47.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
18.0ms	(.f64 z (.f64 z 3))

simplify96.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4926	419
1	4926	419

prune29.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	35	5	40

Error

0.0b

Counts

40 → 5

Compiler

Compiled 498 to 282 computations (43.4% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 z (.f64 z 3))
0.3b	(.f64 (sqrt.f64 (.f64 z (.f64 z 3))) (sqrt.f64 (.f64 z (*.f64 z 3))))
19.8b	(sqrt.f64 (.f64 z (.f64 z 3)))
19.8b	(sqrt.f64 (.f64 z (.f64 z 3)))

rewrite37.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

148×	`pow1_binary64_14120`
80×	`pow-prod-down_binary64_14130`
66×	`sqrt-pow1_binary64_14077`
17×	`pow-prod-up_binary64_14129`
14×	`pow1/2_binary64_14139`
11×	`add-cbrt-cube_binary64_14095` `add-sqr-sqrt_binary64_14081` `pow-sqr_binary64_14032` `add-exp-log_binary64_14097`
9×	`add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059`
7×	`associate-l_binary64_14000`
6×	`sqrt-prod_binary64_14075`
5×	`associate-r_binary64_13999`
4×	`swap-sqr_binary64_14026` `add-log-exp_binary64_14098` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092`
2×	`*-commutative_binary64_13990`
1×	`pow2_binary64_14140` `pow-plus_binary64_14122` `unswap-sqr_binary64_14027` `sqrt-unprod_binary64_14079` `rem-square-sqrt_binary64_14071`

Counts

4 → 108

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (.f64 z (.f64 z 3))) (sqrt.f64 (.f64 z (*.f64 z 3))))
5.0ms	(.f64 z (.f64 z 3))
4.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))
4.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))

series104.0ms (4%)

Counts

4 → 12

Calls

4 calls:

41.0ms	(.f64 (sqrt.f64 (.f64 z (.f64 z 3))) (sqrt.f64 (.f64 z (*.f64 z 3))))
24.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))
22.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))
17.0ms	(.f64 z (.f64 z 3))

simplify61.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4926	737
1	4926	737

prune103.0ms (3.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	119	6	125

Error

Counts

125 → 6

Compiler

Compiled 1837 to 1139 computations (38% saved)

regimes285.0ms (10.9%)

Accuracy

Total 0.1b remaining (97%)

Threshold costs 0.1b (97%)

Compiler

Compiled 3348 to 2242 computations (33% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	19
1	14	19

end0.0ms (0%)

sample908.0ms (34.7%)

Algorithm

1×

intervals

Results

240.0ms	8000×	body	128	valid
14.0ms	470×	body	128	invalid

Compiler

Compiled 561 to 379 computations (32.4% saved)

Details

analyze273.0ms (10.4%)

sample19.0ms (0.7%)

simplify95.0ms (3.6%)

prune4.0ms (0.1%)

localize7.0ms (0.3%)

rewrite25.0ms (0.9%)

series122.0ms (4.7%)

simplify85.0ms (3.3%)

prune43.0ms (1.6%)

localize8.0ms (0.3%)

rewrite14.0ms (0.6%)

series79.0ms (3%)

simplify96.0ms (3.7%)

prune30.0ms (1.1%)

localize6.0ms (0.2%)

rewrite11.0ms (0.4%)

series65.0ms (2.5%)

simplify96.0ms (3.7%)

prune29.0ms (1.1%)

localize11.0ms (0.4%)

rewrite37.0ms (1.4%)

series104.0ms (4%)

simplify61.0ms (2.3%)

prune103.0ms (3.9%)

regimes285.0ms (10.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample908.0ms (34.7%)

Profiling