Details

analyze556.0ms (15.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5005	52
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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample23.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	33×	body	128	invalid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify61.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4743	13
1	4743	13

prune5.0ms (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 31 to 30 computations (3.2% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
0.0b	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)

rewrite68.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
6×	`*-un-lft-identity_binary64_10990`
4×	`add-log-exp_binary64_11029` `add-cube-cbrt_binary64_11025` `add-sqr-sqrt_binary64_11012`
3×	`times-frac_binary64_10996` `associate-/r*_binary64_10934`
2×	`pow1_binary64_11051` `div-exp_binary64_11041` `cbrt-undiv_binary64_11024` `associate-*r/_binary64_10932` `associate-/l/_binary64_10937`
1×	`prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `frac-2neg_binary64_11001` `clear-num_binary64_10989` `div-inv_binary64_10987` `flip3--_binary64_10994` `flip--_binary64_10965` `associate-/l*_binary64_10935` `sum-log_binary64_11081` `flip3-+_binary64_10993` `flip-+_binary64_10964` `distribute-lft-out_binary64_10941` `+-commutative_binary64_10920`

Counts

2 → 35

Calls

2 calls:

10.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)
6.0ms	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))

Compiler

Compiled 810 to 567 computations (30% saved)

series686.0ms (19.5%)

Error

Counts

2 → 36

Calls

2 calls:

332.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)
332.0ms	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))

Compiler

Compiled 752 to 689 computations (8.4% saved)

simplify50.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5088	1009

prune52.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	71	2	73

Error

Counts

73 → 2

Compiler

Compiled 680 to 424 computations (37.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 4 (/.f64 (-.f64 x z) y))
0.0b	(/.f64 (-.f64 x z) y)

rewrite83.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`add-sqr-sqrt_binary64_11012`
36×	`*-un-lft-identity_binary64_10990`
31×	`times-frac_binary64_10996`
22×	`add-cube-cbrt_binary64_11025`
19×	`associate-r_binary64_10930`
9×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
7×	`difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942`
5×	`associate-/l*_binary64_10935`
4×	`pow1_binary64_11051`
3×	`associate-/r_binary64_10934` `associate-l*_binary64_10931`
2×	`div-exp_binary64_11041` `add-log-exp_binary64_11029` `cbrt-undiv_binary64_11024` `div-inv_binary64_10987` `associate-/l/_binary64_10937` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `unswap-sqr_binary64_10958`
1×	`frac-2neg_binary64_11001` `div-sub_binary64_10995` `clear-num_binary64_10989` `flip3--_binary64_10994` `flip--_binary64_10965` `pow-prod-down_binary64_11061` `associate-r/_binary64_10932` `-commutative_binary64_10921`

Counts

2 → 76

Calls

2 calls:

10.0ms	(*.f64 4 (/.f64 (-.f64 x z) y))
6.0ms	(/.f64 (-.f64 x z) y)

Compiler

Compiled 1149 to 483 computations (58% saved)

series400.0ms (11.4%)

Error

Counts

2 → 30

Calls

2 calls:

225.0ms	(*.f64 4 (/.f64 (-.f64 x z) y))
169.0ms	(/.f64 (-.f64 x z) y)

Compiler

Compiled 593 to 553 computations (6.7% saved)

simplify77.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4955	1237
1	4955	1237

prune60.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	106	2	108

Error

Counts

108 → 2

Compiler

Compiled 1020 to 427 computations (58.1% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(*.f64 (/.f64 4 y) (-.f64 x z))

rewrite58.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-sqr-sqrt_binary64_11012`
13×	`-un-lft-identity_binary64_10990` `associate-l*_binary64_10931`
11×	`add-cube-cbrt_binary64_11025`
10×	`times-frac_binary64_10996`
6×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `cancel-sign-sub-inv_binary64_10956`
5×	`associate-r_binary64_10930`
4×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
3×	`pow1_binary64_11051`
2×	`prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `flip3--_binary64_10994` `frac-times_binary64_11000` `flip--_binary64_10965` `unswap-sqr_binary64_10958` `sub-neg_binary64_10983` `associate-*r/_binary64_10932`
1×	`pow-prod-down_binary64_11061` `div-exp_binary64_11041` `add-log-exp_binary64_11029` `cbrt-undiv_binary64_11024` `associate-l/_binary64_10933` `div-inv_binary64_10987` `difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942` `-commutative_binary64_10921`

Counts

1 → 46

Calls

1 calls:

10.0ms

(*.f64 (/.f64 4 y) (-.f64 x z))

Compiler

Compiled 746 to 435 computations (41.7% saved)

series225.0ms (6.4%)

Error

Counts

1 → 15

Calls

1 calls:

220.0ms

(*.f64 (/.f64 4 y) (-.f64 x z))

Compiler

Compiled 324 to 302 computations (6.8% saved)

simplify59.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4903	750
1	4903	750

prune31.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	61	2	63

Error

Counts

63 → 2

Compiler

Compiled 555 to 315 computations (43.2% saved)

regimes258.0ms (7.3%)

Accuracy

Total 0.0b remaining (21.3%)

Threshold costs 0.0b (21.3%)

Compiler

Compiled 1387 to 1489 computations (-7.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end1.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

sample731.0ms (20.8%)

Algorithm

1×

intervals

Results

320.0ms	8000×	body	128	valid
35.0ms	930×	body	128	invalid

Compiler

Compiled 44 to 55 computations (-25% saved)

Details

analyze556.0ms (15.8%)

sample23.0ms (0.6%)

simplify61.0ms (1.7%)

prune5.0ms (0.1%)

localize9.0ms (0.3%)

rewrite68.0ms (1.9%)

series686.0ms (19.5%)

simplify50.0ms (1.4%)

prune52.0ms (1.5%)

localize7.0ms (0.2%)

rewrite83.0ms (2.4%)

series400.0ms (11.4%)

simplify77.0ms (2.2%)

prune60.0ms (1.7%)

localize7.0ms (0.2%)

rewrite58.0ms (1.7%)

series225.0ms (6.4%)

simplify59.0ms (1.7%)

prune31.0ms (0.9%)

regimes258.0ms (7.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end1.0ms (0%)

sample731.0ms (20.8%)

Profiling