Details

analyze494.0ms (14.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4922	14
1	4922	14
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	50%	25%	4
25%	37.5%	37.5%	5
25%	31.2%	43.8%	6
25%	28.1%	46.9%	7
25%	26.5%	48.5%	8
25%	25.8%	49.2%	9
25%	25.4%	49.6%	10
25%	25.2%	49.8%	11
25%	25.1%	49.9%	12
25%	25%	50%	13
25%	25%	50%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample70.0ms (2%)

Algorithm

1×

intervals

Results

23.0ms	146×	body	2048	nan
11.0ms	256×	body	128	valid
11.0ms	84×	body	1024	nan
3.0ms	32×	body	512	nan
1.0ms	19×	body	256	nan
1.0ms	17×	body	128	nan
0.0ms	2×	body	4096	nan

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify148.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	4922	14
1	4922	14

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

29.6b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
0.2b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
27.5b	(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite70.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

10×	`*-un-lft-identity_binary64_1101`
7×	`add-sqr-sqrt_binary64_1123`
6×	`sqrt-prod_binary64_1117`
5×	`pow1_binary64_1162` `add-log-exp_binary64_1140` `add-cube-cbrt_binary64_1136`
4×	`add-exp-log_binary64_1139` `log-prod_binary64_1187`
3×	`add-cbrt-cube_binary64_1137`
2×	`sqrt-div_binary64_1118` `difference-of-squares_binary64_1070` `flip3-+_binary64_1104` `log-div_binary64_1188` `flip-+_binary64_1075` `distribute-lft-out_binary64_1052`
1×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `flip3--_binary64_1105` `flip--_binary64_1076` `difference-of-sqr-1_binary64_1071` `rem-sqrt-square_binary64_1114` `log-pow_binary64_1190` `rem-log-exp_binary64_1142` `sum-log_binary64_1192` `+-commutative_binary64_1031`

Counts

3 → 45

Calls

3 calls:

10.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
7.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
5.0ms	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 804 to 493 computations (38.7% saved)

series88.0ms (2.5%)

Error

Counts

3 → 12

Calls

3 calls:

37.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
23.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
20.0ms	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 281 to 250 computations (11% saved)

simplify71.0ms (2%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4981	795
1	4981	795

prune48.0ms (1.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Error

Counts

58 → 2

Compiler

Compiled 741 to 478 computations (35.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (-.f64 x (/.f64 1/2 x)))
0.2b	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))

rewrite60.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`*-un-lft-identity_binary64_1101`
14×	`associate-+r+_binary64_1033`
13×	`cancel-sign-sub-inv_binary64_1067`
10×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123`
9×	`times-frac_binary64_1107`
7×	`add-log-exp_binary64_1140`
5×	`log-prod_binary64_1187`
4×	`distribute-lft-out_binary64_1052`
3×	`pow1_binary64_1162` `add-exp-log_binary64_1139`
2×	`flip3-+_binary64_1104` `log-div_binary64_1188` `flip-+_binary64_1075` `distribute-lft-out--_binary64_1053` `add-cbrt-cube_binary64_1137` `sum-log_binary64_1192`
1×	`log-pow_binary64_1190` `rem-log-exp_binary64_1142` `diff-log_binary64_1193` `associate-+r-_binary64_1035` `sub-neg_binary64_1094` `div-inv_binary64_1098` `+-commutative_binary64_1031`

Counts

2 → 45

Calls

2 calls:

10.0ms	(+.f64 x (-.f64 x (/.f64 1/2 x)))
9.0ms	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))

Compiler

Compiled 729 to 480 computations (34.2% saved)

series89.0ms (2.5%)

Error

Counts

2 → 10

Calls

2 calls:

50.0ms	(+.f64 x (-.f64 x (/.f64 1/2 x)))
33.0ms	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))

Compiler

Compiled 231 to 207 computations (10.4% saved)

simplify53.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4787	626
1	4787	626

prune41.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	55	2	57

Error

Counts

57 → 2

Compiler

Compiled 715 to 449 computations (37.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(+.f64 (log.f64 2) (log.f64 x))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`*-un-lft-identity_binary64_1101`
6×	`log-prod_binary64_1187`
5×	`pow1_binary64_1162`
4×	`log-pow_binary64_1190` `distribute-lft-out_binary64_1052`
3×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `associate-+l+_binary64_1034` `associate-+r+_binary64_1033`
1×	`sum-log_binary64_1192` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `flip3-+_binary64_1104` `flip-+_binary64_1075` `+-commutative_binary64_1031`

Counts

1 → 21

Calls

1 calls:

5.0ms

(+.f64 (log.f64 2) (log.f64 x))

Compiler

Compiled 222 to 157 computations (29.3% saved)

series87.0ms (2.5%)

Error

Counts

1 → 3

Calls

1 calls:

85.0ms

(+.f64 (log.f64 2) (log.f64 x))

Compiler

Compiled 66 to 64 computations (3% saved)

simplify99.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4825	259
1	4825	259

prune15.0ms (0.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	24	2	26

Error

Counts

26 → 2

Compiler

Compiled 220 to 158 computations (28.2% saved)

regimes66.0ms (1.9%)

Accuracy

Total 0.4b remaining (99.4%)

Threshold costs 0.4b (99.4%)

Compiler

Compiled 253 to 217 computations (14.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	12
1	25	12

end0.0ms (0%)

sample2.0s (56.2%)

Algorithm

1×

intervals

Results

673.0ms	4092×	body	2048	nan
345.0ms	8000×	body	128	valid
253.0ms	2013×	body	1024	nan
102.0ms	1047×	body	512	nan
31.0ms	504×	body	256	nan
20.0ms	526×	body	128	nan
2.0ms	9×	body	4096	nan

Compiler

Compiled 71 to 62 computations (12.7% saved)

Details

analyze494.0ms (14.1%)

sample70.0ms (2%)

simplify148.0ms (4.2%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite70.0ms (2%)

series88.0ms (2.5%)

simplify71.0ms (2%)

prune48.0ms (1.4%)

localize6.0ms (0.2%)

rewrite60.0ms (1.7%)

series89.0ms (2.5%)

simplify53.0ms (1.5%)

prune41.0ms (1.2%)

localize5.0ms (0.1%)

rewrite19.0ms (0.5%)

series87.0ms (2.5%)

simplify99.0ms (2.8%)

prune15.0ms (0.4%)

regimes66.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.0s (56.2%)

Profiling