Details

analyze334.0ms (6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
25%	25%	50%	2
25%	25%	50%	3
31.2%	18.7%	50%	4
31.2%	18.7%	50%	5
34.3%	15.6%	50%	6
34.3%	15.6%	50%	7
35.9%	14%	50%	8
35.9%	14%	50%	9
36.7%	13.3%	50%	10
36.7%	13.3%	50%	11
37.1%	12.9%	50%	12
37.1%	12.9%	50%	13
37.3%	12.7%	50%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample40.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	195×	body	128	valid
6.0ms	16×	body	1024	valid
5.0ms	24×	body	2048	valid
4.0ms	15×	body	4096	valid
3.0ms	256×	pre	128	true
1.0ms	5×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 33 to 28 computations (15.2% saved)

simplify104.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	249	23
1	249	23

prune3.0ms (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

36.1b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
0.3b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
28.3b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite84.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

35.9b

Rules

10×	`add-sqr-sqrt_binary64_441`
7×	`pow1_binary64_480` `*-un-lft-identity_binary64_419`
5×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `sqrt-prod_binary64_435`
4×	`sqrt-div_binary64_436`
3×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `sqrt-pow1_binary64_437` `cancel-sign-sub-inv_binary64_385`
2×	`pow1/2_binary64_499` `flip3--_binary64_423` `flip--_binary64_394` `difference-of-squares_binary64_388` `associate-*r/_binary64_361`
1×	`flip3-+_binary64_422` `flip-+_binary64_393` `rem-sqrt-square_binary64_432` `diff-log_binary64_511` `sub-neg_binary64_412` `distribute-lft-out--_binary64_371` `pow-prod-down_binary64_490`

Counts

3 → 45

Calls

3 calls:

9.0ms	(sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
9.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 1152 to 396 computations (65.6% saved)

series338.0ms (6.1%)

Error

0.3b

Counts

3 → 41

Calls

3 calls:

105.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
102.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
86.0ms	(sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))

Compiler

Compiled 1720 to 1482 computations (13.8% saved)

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5012	1445

prune88.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	79	7	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	7	87

Error

0.3b

Counts

87 → 7

Compiler

Compiled 1694 to 870 computations (48.6% saved)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.3b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune7.0ms (0.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	0	0
Total	7	7

Error

0.3b

Counts

7 → 7

Compiler

Compiled 101 to 80 computations (20.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (/.f64 1 im))
0.3b	(.f64 (.f64 re (sqrt.f64 2)) (sqrt.f64 (/.f64 1 im)))
0.4b	(*.f64 re (sqrt.f64 2))
0.5b	(*.f64 (sqrt.f64 im) (sqrt.f64 2))

rewrite194.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

42×	`add-sqr-sqrt_binary64_441`
40×	`sqrt-prod_binary64_435`
28×	`associate-r_binary64_359`
27×	`*-un-lft-identity_binary64_419`
26×	`add-cube-cbrt_binary64_454`
20×	`times-frac_binary64_425`
17×	`pow1_binary64_480`
13×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
10×	`associate-l_binary64_360`
7×	`pow-prod-down_binary64_490`
6×	`unswap-sqr_binary64_387`
5×	`sqrt-pow1_binary64_437` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
4×	`add-log-exp_binary64_458`
3×	`pow1/2_binary64_499` `*-commutative_binary64_350` `rem-sqrt-square_binary64_432`
2×	`sqrt-div_binary64_436` `div-inv_binary64_416`
1×	`sqrt-unprod_binary64_439` `associate-*r/_binary64_361` `inv-pow_binary64_504` `pow-flip_binary64_493`

Counts

4 → 112

Calls

4 calls:

11.0ms	(.f64 (.f64 re (sqrt.f64 2)) (sqrt.f64 (/.f64 1 im)))
7.0ms	(*.f64 (sqrt.f64 im) (sqrt.f64 2))
5.0ms	(*.f64 re (sqrt.f64 2))
3.0ms	(sqrt.f64 (/.f64 1 im))

Compiler

Compiled 2828 to 2228 computations (21.2% saved)

series183.0ms (3.3%)

Error

0.3b

Counts

4 → 15

Calls

4 calls:

96.0ms	(.f64 (.f64 re (sqrt.f64 2)) (sqrt.f64 (/.f64 1 im)))
34.0ms	(*.f64 re (sqrt.f64 2))
23.0ms	(*.f64 (sqrt.f64 im) (sqrt.f64 2))
15.0ms	(sqrt.f64 (/.f64 1 im))

Compiler

Compiled 918 to 816 computations (11.1% saved)

simplify90.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4891	1398
1	4891	1398

prune174.0ms (3.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	126	8	134

Error

0.3b

Counts

134 → 8

Compiler

Compiled 3051 to 2393 computations (21.6% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (sqrt.f64 im))) (cbrt.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 im))))
0.6b	(cbrt.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 im)))
0.6b	(cbrt.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 im)))
0.6b	(cbrt.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 im)))

rewrite153.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

11×	`pow1_binary64_480`
10×	`add-sqr-sqrt_binary64_441`
9×	`pow1/3_binary64_501`
8×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
7×	`cbrt-prod_binary64_450`
6×	`add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `swap-sqr_binary64_386` `associate-l_binary64_360` `associate-r_binary64_359`
2×	`pow-prod-down_binary64_490` `pow-prod-up_binary64_489` `pow-sqr_binary64_392`
1×	`pow2_binary64_500` `pow-plus_binary64_482` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (sqrt.f64 im))) (cbrt.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 im))))
4.0ms	(cbrt.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 im)))
4.0ms	(cbrt.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 im)))
4.0ms	(cbrt.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 im)))

Compiler

Compiled 2325 to 1792 computations (22.9% saved)

series461.0ms (8.3%)

Error

0.3b

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 im)))
111.0ms	(cbrt.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 im)))
109.0ms	(cbrt.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 im)))
106.0ms	(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (sqrt.f64 im))) (cbrt.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 im))))

Compiler

Compiled 1307 to 1149 computations (12.1% saved)

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4910	654
1	4910	654

prune123.0ms (2.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	70	8	78

Error

0.3b

Counts

78 → 8

Compiler

Compiled 2365 to 1853 computations (21.6% saved)

regimes930.0ms (16.8%)

Accuracy

Total 15.0b remaining (97.2%)

Threshold costs 0b (0%)

Compiler

Compiled 7813 to 5488 computations (29.8% saved)

bsearch48.0ms (0.9%)

Steps

Iters	Range		Point
2	2.367952292610699e-32	2.7125211387913816e-32	2.6572952784931755e-32
8	-6.600830029909825e-203	-3.4217319908583577e-206	-6.789310762143758e-205
8	-587155327008.4462	-22529205.52716382	-571344281054.1213

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	84	86
1	84	86

end0.0ms (0%)

sample2.0s (35.7%)

Algorithm

1×

intervals

Results

292.0ms	6062×	body	128	valid
169.0ms	545×	body	4096	valid
139.0ms	616×	body	2048	valid
103.0ms	8000×	pre	128	true
78.0ms	416×	body	1024	valid
36.0ms	248×	body	512	valid
13.0ms	113×	body	256	valid

Compiler

Compiled 1004 to 726 computations (27.7% saved)

Details

analyze334.0ms (6%)

sample40.0ms (0.7%)

simplify104.0ms (1.9%)

prune3.0ms (0%)

localize10.0ms (0.2%)

rewrite84.0ms (1.5%)

series338.0ms (6.1%)

simplify74.0ms (1.3%)

prune88.0ms (1.6%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.1%)

prune7.0ms (0.1%)

localize13.0ms (0.2%)

rewrite194.0ms (3.5%)

series183.0ms (3.3%)

simplify90.0ms (1.6%)

prune174.0ms (3.1%)

localize20.0ms (0.4%)

rewrite153.0ms (2.8%)

series461.0ms (8.3%)

simplify78.0ms (1.4%)

prune123.0ms (2.2%)

regimes930.0ms (16.8%)

bsearch48.0ms (0.9%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.0s (35.7%)

Profiling