Details

analyze33.0ms (1.4%)

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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify172.0ms (7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	10
1	10	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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_6959`
16×	`times-frac_binary64_6965`
11×	`add-cube-cbrt_binary64_6994` `add-sqr-sqrt_binary64_6981`
10×	`distribute-lft-out_binary64_6910`
4×	`associate-/l_binary64_6904` `associate-/r_binary64_6903`
3×	`add-exp-log_binary64_6997` `add-cbrt-cube_binary64_6995`
2×	`associate-/l/_binary64_6906` `flip3-+_binary64_6962` `flip-+_binary64_6933` `associate-/r/_binary64_6905`
1×	`frac-2neg_binary64_6970` `div-inv_binary64_6956` `pow1_binary64_7020` `clear-num_binary64_6958` `div-exp_binary64_7010` `add-log-exp_binary64_6998` `cbrt-undiv_binary64_6993`

Counts

1 → 40

Calls

1 calls:

9.0ms

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

series55.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify63.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5504	702

prune74.0ms (3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Merged error: 0b

Counts

44 → 4

Compiler

Compiled 1236 to 753 computations (39.1% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (/.f64 (+.f64 x y) (-.f64 (.f64 y y) 1)) (-.f64 y 1))
17.1b	(/.f64 (+.f64 x y) (-.f64 (*.f64 y y) 1))

rewrite43.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`*-un-lft-identity_binary64_6959`
49×	`times-frac_binary64_6965`
46×	`add-sqr-sqrt_binary64_6981`
30×	`associate-l_binary64_6900`
28×	`add-cube-cbrt_binary64_6994`
20×	`difference-of-squares_binary64_6928`
13×	`distribute-lft-out_binary64_6910`
10×	`difference-of-sqr-1_binary64_6929`
9×	`add-exp-log_binary64_6997` `add-cbrt-cube_binary64_6995`
7×	`associate-r_binary64_6899`
6×	`cancel-sign-sub-inv_binary64_6925` `associate-/r*_binary64_6903`
4×	`flip3--_binary64_6963` `distribute-rgt-in_binary64_6909` `flip--_binary64_6934` `pow1_binary64_7020` `associate-/l*_binary64_6904` `associate-/r/_binary64_6905` `distribute-lft-in_binary64_6908`
2×	`associate-*r/_binary64_6901` `frac-times_binary64_6969` `associate-/l/_binary64_6906` `div-inv_binary64_6956` `unswap-sqr_binary64_6927` `cbrt-unprod_binary64_6992` `sub-neg_binary64_6952` `div-exp_binary64_7010` `add-log-exp_binary64_6998` `prod-exp_binary64_7008` `cbrt-undiv_binary64_6993`
1×	`pow-prod-down_binary64_7030` `frac-2neg_binary64_6970` `-commutative_binary64_6890` `flip3-+_binary64_6962` `associate-l/_binary64_6902` `flip-+_binary64_6933` `clear-num_binary64_6958` `distribute-lft-out--_binary64_6911`

Counts

2 → 115

Calls

2 calls:

22.0ms	(.f64 (/.f64 (+.f64 x y) (-.f64 (.f64 y y) 1)) (-.f64 y 1))
10.0ms	(/.f64 (+.f64 x y) (-.f64 (*.f64 y y) 1))

series205.0ms (8.4%)

Counts

2 → 6

Calls

2 calls:

111.0ms	(/.f64 (+.f64 x y) (-.f64 (*.f64 y y) 1))
94.0ms	(.f64 (/.f64 (+.f64 x y) (-.f64 (.f64 y y) 1)) (-.f64 y 1))

simplify71.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4923	2235
1	4923	2235

prune101.0ms (4.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	121	4	125

Merged error: 0b

Counts

125 → 4

Compiler

Compiled 2341 to 1160 computations (50.4% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite97.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Rules

289×	`*-un-lft-identity_binary64_6959`
164×	`sqrt-prod_binary64_6975`
161×	`times-frac_binary64_6965`
118×	`add-sqr-sqrt_binary64_6981`
92×	`distribute-lft-out_binary64_6910`
81×	`add-cube-cbrt_binary64_6994`
47×	`swap-sqr_binary64_6926`
25×	`associate-r_binary64_6899` `associate-l_binary64_6900`
20×	`pow1_binary64_7020`
14×	`associate-/r/_binary64_6905`
10×	`add-exp-log_binary64_6997` `add-cbrt-cube_binary64_6995`
9×	`pow1/2_binary64_7039` `sqrt-pow1_binary64_6977` `unswap-sqr_binary64_6927` `flip3-+_binary64_6962` `flip-+_binary64_6933`
8×	`associate-/l_binary64_6904` `associate-/r_binary64_6903`
7×	`div-inv_binary64_6956`
6×	`rem-sqrt-square_binary64_6972`
5×	`sqrt-div_binary64_6976` `pow-prod-up_binary64_7029`
4×	`associate-/l/_binary64_6906` `add-log-exp_binary64_6998`
3×	`pow-prod-down_binary64_7030` `pow-sqr_binary64_6932`
2×	`frac-2neg_binary64_6970` `sqr-abs_binary64_6974` `clear-num_binary64_6958` `div-exp_binary64_7010` `cbrt-undiv_binary64_6993`
1×	`associate-r/_binary64_6901` `frac-times_binary64_6969` `-commutative_binary64_6890` `pow-plus_binary64_7022` `associate-*l/_binary64_6902` `cbrt-unprod_binary64_6992` `sqrt-unprod_binary64_6979` `prod-exp_binary64_7008` `pow2_binary64_7040` `rem-square-sqrt_binary64_6971`

Counts

4 → 250

Calls

4 calls:

38.0ms	(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))
9.0ms	(sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1)))
8.0ms	(/.f64 (+.f64 x y) (+.f64 y 1))
8.0ms	(/.f64 (+.f64 x y) (+.f64 y 1))

series345.0ms (14.1%)

Counts

4 → 12

Calls

4 calls:

131.0ms	(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))
109.0ms	(sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1)))
57.0ms	(/.f64 (+.f64 x y) (+.f64 y 1))
46.0ms	(/.f64 (+.f64 x y) (+.f64 y 1))

simplify108.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

262 → 262

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4933	4782
1	4933	4782

prune264.0ms (10.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	262	0	262
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	262	4	266

Merged error: 0b

Counts

266 → 4

Compiler

Compiled 5497 to 3022 computations (45% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite18.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_6959`
15×	`add-sqr-sqrt_binary64_6981`
13×	`cancel-sign-sub-inv_binary64_6925`
11×	`times-frac_binary64_6965`
8×	`add-cube-cbrt_binary64_6994`
6×	`add-log-exp_binary64_6998`
4×	`distribute-lft-out--_binary64_6911`
3×	`div-inv_binary64_6956` `difference-of-squares_binary64_6928`
2×	`distribute-lft-out_binary64_6910` `frac-sub_binary64_6968` `diff-log_binary64_7051`
1×	`flip3--_binary64_6963` `sum-log_binary64_7050` `add-exp-log_binary64_6997` `flip--_binary64_6934` `pow1_binary64_7020` `flip3-+_binary64_6962` `flip-+_binary64_6933` `associate--l+_binary64_6896` `sub-neg_binary64_6952` `add-cbrt-cube_binary64_6995`

Counts

1 → 35

Calls

1 calls:

15.0ms

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

series23.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

23.0ms

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

simplify79.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5343	585

prune213.0ms (8.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	38	4	42

Merged error: 0b

Counts

42 → 4

Compiler

Compiled 528 to 313 computations (40.7% saved)

regimes33.0ms (1.4%)

Compiler: Compiled 156 to 128 computations (17.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample403.0ms (16.4%)

Algorithm

1×

intervals

Results

183.0ms	7999×	body	128	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 61 to 51 computations (16.4% saved)

Details

analyze33.0ms (1.4%)

sample12.0ms (0.5%)

simplify172.0ms (7%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite13.0ms (0.5%)

series55.0ms (2.3%)

simplify63.0ms (2.6%)

prune74.0ms (3%)

localize8.0ms (0.3%)

rewrite43.0ms (1.8%)

series205.0ms (8.4%)

simplify71.0ms (2.9%)

prune101.0ms (4.1%)

localize7.0ms (0.3%)

rewrite97.0ms (3.9%)

series345.0ms (14.1%)

simplify108.0ms (4.4%)

prune264.0ms (10.8%)

localize5.0ms (0.2%)

rewrite18.0ms (0.7%)

series23.0ms (0.9%)

simplify79.0ms (3.2%)

prune213.0ms (8.7%)

regimes33.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample403.0ms (16.4%)

Profiling