Details

analyze129.0ms (5.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	461	10
1	461	10
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify35.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	461	10
1	461	10

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))

rewrite64.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`*-un-lft-identity_binary64_419`
28×	`add-sqr-sqrt_binary64_441`
24×	`times-frac_binary64_425`
13×	`add-cube-cbrt_binary64_454`
10×	`difference-of-squares_binary64_388`
7×	`distribute-lft-out_binary64_370`
6×	`associate-/r*_binary64_363`
5×	`distribute-lft-out--_binary64_371`
4×	`associate-/l*_binary64_364`
3×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
2×	`associate-/l/_binary64_366` `associate-/r/_binary64_365`
1×	`pow1_binary64_480` `div-exp_binary64_470` `add-log-exp_binary64_458` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `flip3-+_binary64_422` `flip-+_binary64_393` `flip3--_binary64_423` `flip--_binary64_394`

Counts

1 → 50

Calls

1 calls:

8.0ms

(/.f64 (+.f64 x 1) (-.f64 1 x))

Compiler

Compiled 800 to 609 computations (23.9% saved)

series41.0ms (1.6%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

30.0ms

(/.f64 (+.f64 x 1) (-.f64 1 x))

Compiler

Compiled 264 to 241 computations (8.7% saved)

simplify61.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4954	1035
1	4954	1035

prune57.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	3	63

Error

Counts

63 → 3

Compiler

Compiled 854 to 636 computations (25.5% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (/.f64 (+.f64 1 x) (-.f64 1 (.f64 x x))) (+.f64 1 x))
14.1b	(/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x)))

rewrite136.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

57×	`*-un-lft-identity_binary64_419`
41×	`times-frac_binary64_425`
38×	`add-sqr-sqrt_binary64_441`
26×	`associate-l_binary64_360`
24×	`add-cube-cbrt_binary64_454`
18×	`difference-of-squares_binary64_388`
12×	`distribute-lft-out_binary64_370`
9×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
5×	`associate-/r*_binary64_363`
4×	`pow1_binary64_480` `associate-/r/_binary64_365` `associate-/l_binary64_364` `associate-r*_binary64_359`
3×	`flip3-+_binary64_422` `flip-+_binary64_393`
2×	`div-exp_binary64_470` `add-log-exp_binary64_458` `cbrt-undiv_binary64_453` `div-inv_binary64_416` `associate-/l/_binary64_366` `flip3--_binary64_423` `flip--_binary64_394` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-times_binary64_429` `unswap-sqr_binary64_387` `associate-*r/_binary64_361`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `pow-prod-down_binary64_490` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `associate-l/_binary64_362` `-commutative_binary64_350`

Counts

2 → 97

Calls

2 calls:

16.0ms	(.f64 (/.f64 (+.f64 1 x) (-.f64 1 (.f64 x x))) (+.f64 1 x))
8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x)))

Compiler

Compiled 2274 to 1535 computations (32.5% saved)

series91.0ms (3.6%)

Error

Counts

2 → 24

Calls

2 calls:

37.0ms	(/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x)))
37.0ms	(.f64 (/.f64 (+.f64 1 x) (-.f64 1 (.f64 x x))) (+.f64 1 x))

Compiler

Compiled 608 to 521 computations (14.3% saved)

simplify71.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5296	2265

prune114.0ms (4.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	121	3	124

Error

Counts

124 → 3

Compiler

Compiled 2303 to 1566 computations (32% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
0.1b	(/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))

rewrite317.0ms (12.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

127×	`*-un-lft-identity_binary64_419`
113×	`add-sqr-sqrt_binary64_441`
88×	`times-frac_binary64_425`
69×	`sqrt-prod_binary64_435`
50×	`add-cube-cbrt_binary64_454`
48×	`associate-r_binary64_359`
30×	`difference-of-squares_binary64_388`
16×	`distribute-lft-out_binary64_370`
15×	`distribute-lft-out--_binary64_371`
11×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
10×	`sqrt-div_binary64_436`
8×	`pow1_binary64_480`
7×	`associate-/l_binary64_364` `associate-l*_binary64_360`
6×	`associate-/r*_binary64_363` `unswap-sqr_binary64_387`
5×	`flip3-+_binary64_422` `flip-+_binary64_393`
4×	`add-log-exp_binary64_458` `associate-/r/_binary64_365`
2×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `div-inv_binary64_416` `associate-/l/_binary64_366` `flip3--_binary64_423` `flip--_binary64_394` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-times_binary64_429` `associate-*l/_binary64_362` `pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `pow-prod-down_binary64_490` `associate-r/_binary64_361` `-commutative_binary64_350`

Counts

4 → 182

Calls

4 calls:

26.0ms	(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
9.0ms	(/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))
3.0ms	(sqrt.f64 (+.f64 1 x))
3.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 4255 to 3363 computations (21% saved)

series119.0ms (4.7%)

Error

Counts

4 → 30

Calls

4 calls:

34.0ms	(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
29.0ms	(/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))
18.0ms	(sqrt.f64 (+.f64 1 x))
18.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 893 to 754 computations (15.6% saved)

simplify93.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5247	3607

prune413.0ms (16.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	212	0	212
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	212	3	215

Error

Counts

215 → 3

Compiler

Compiled 3980 to 3084 computations (22.5% saved)

regimes65.0ms (2.5%)

Accuracy

Total 0.0b remaining (97.6%)

Threshold costs 0.0b (97.6%)

Compiler

Compiled 628 to 536 computations (14.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms (0%)

sample709.0ms (27.8%)

Algorithm

1×

intervals

Results

168.0ms

8000×

body

128

valid

Compiler

Compiled 321 to 275 computations (14.3% saved)

Details

analyze129.0ms (5.1%)

sample12.0ms (0.5%)

simplify35.0ms (1.4%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite64.0ms (2.5%)

series41.0ms (1.6%)

simplify61.0ms (2.4%)

prune57.0ms (2.2%)

localize7.0ms (0.3%)

rewrite136.0ms (5.3%)

series91.0ms (3.6%)

simplify71.0ms (2.8%)

prune114.0ms (4.5%)

localize8.0ms (0.3%)

rewrite317.0ms (12.4%)

series119.0ms (4.7%)

simplify93.0ms (3.6%)

prune413.0ms (16.2%)

regimes65.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample709.0ms (27.8%)

Profiling