Details

analyze37.0ms (1.6%)

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)

simplify165.0ms (6.9%)

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))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_5806`
16×	`times-frac_binary64_5812`
11×	`add-sqr-sqrt_binary64_5827` `add-cube-cbrt_binary64_5838`
10×	`distribute-lft-out_binary64_5759`
4×	`associate-/l_binary64_5753` `associate-/r_binary64_5752`
3×	`add-exp-log_binary64_5841` `add-cbrt-cube_binary64_5839`
2×	`flip3-+_binary64_5809` `associate-/l/_binary64_5755` `flip-+_binary64_5780` `associate-/r/_binary64_5754`
1×	`pow1_binary64_5864` `div-inv_binary64_5803` `cbrt-undiv_binary64_5837` `div-exp_binary64_5854` `add-log-exp_binary64_5842` `frac-2neg_binary64_5817` `clear-num_binary64_5805`

Counts

1 → 40

Calls

1 calls:

9.0ms

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

series56.0ms (2.4%)

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify64.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4959	702
1	4959	702

prune40.0ms (1.7%)

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 626 to 334 computations (46.6% 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))

rewrite44.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`*-un-lft-identity_binary64_5806`
49×	`times-frac_binary64_5812`
44×	`add-sqr-sqrt_binary64_5827`
30×	`associate-l_binary64_5749`
26×	`add-cube-cbrt_binary64_5838`
20×	`difference-of-squares_binary64_5775`
13×	`distribute-lft-out_binary64_5759`
10×	`difference-of-sqr-1_binary64_5776`
9×	`add-exp-log_binary64_5841` `add-cbrt-cube_binary64_5839`
7×	`associate-r_binary64_5748`
6×	`associate-/r*_binary64_5752`
4×	`pow1_binary64_5864` `associate-/r/_binary64_5754` `associate-/l*_binary64_5753` `flip3--_binary64_5810` `flip--_binary64_5781`
2×	`prod-exp_binary64_5852` `frac-times_binary64_5816` `associate-/l/_binary64_5755` `cbrt-unprod_binary64_5836` `unswap-sqr_binary64_5774` `div-inv_binary64_5803` `cbrt-undiv_binary64_5837` `div-exp_binary64_5854` `add-log-exp_binary64_5842` `sub-neg_binary64_5799` `associate-*r/_binary64_5750`
1×	`distribute-lft-in_binary64_5757` `flip3-+_binary64_5809` `flip-+_binary64_5780` `distribute-lft-out--_binary64_5760` `distribute-rgt-in_binary64_5758` `-commutative_binary64_5739` `frac-2neg_binary64_5817` `clear-num_binary64_5805` `pow-prod-down_binary64_5874` `associate-l/_binary64_5751`

Counts

2 → 109

Calls

2 calls:

23.0ms	(.f64 (/.f64 (+.f64 x y) (-.f64 (.f64 y y) 1)) (-.f64 y 1))
10.0ms	(/.f64 (+.f64 x y) (-.f64 (*.f64 y y) 1))

series204.0ms (8.6%)

Counts

2 → 6

Calls

2 calls:

108.0ms	(/.f64 (+.f64 x y) (-.f64 (*.f64 y y) 1))
96.0ms	(.f64 (/.f64 (+.f64 x y) (-.f64 (.f64 y y) 1)) (-.f64 y 1))

simplify68.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4953	2049
1	4953	2049

prune97.0ms (4.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	115	4	119

Merged error: 0b

Counts

119 → 4

Compiler

Compiled 2209 to 1112 computations (49.7% 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))))

rewrite100.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Rules

289×	`*-un-lft-identity_binary64_5806`
164×	`sqrt-prod_binary64_5821`
159×	`times-frac_binary64_5812`
112×	`add-sqr-sqrt_binary64_5827`
92×	`distribute-lft-out_binary64_5759`
81×	`add-cube-cbrt_binary64_5838`
47×	`swap-sqr_binary64_5773`
25×	`associate-l_binary64_5749` `associate-r_binary64_5748`
20×	`pow1_binary64_5864`
14×	`associate-/r/_binary64_5754`
10×	`add-exp-log_binary64_5841` `add-cbrt-cube_binary64_5839`
9×	`flip3-+_binary64_5809` `unswap-sqr_binary64_5774` `flip-+_binary64_5780` `pow1/2_binary64_5883` `sqrt-pow1_binary64_5823`
8×	`associate-/l_binary64_5753` `associate-/r_binary64_5752`
7×	`div-inv_binary64_5803`
5×	`sqrt-div_binary64_5822` `pow-prod-up_binary64_5873`
4×	`associate-/l/_binary64_5755` `add-log-exp_binary64_5842`
3×	`pow-sqr_binary64_5779` `pow-prod-down_binary64_5874`
2×	`cbrt-undiv_binary64_5837` `div-exp_binary64_5854` `rem-sqrt-square_binary64_5819` `frac-2neg_binary64_5817` `clear-num_binary64_5805`
1×	`prod-exp_binary64_5852` `frac-times_binary64_5816` `rem-square-sqrt_binary64_5818` `cbrt-unprod_binary64_5836` `pow-plus_binary64_5866` `pow2_binary64_5884` `sqrt-unprod_binary64_5825` `-commutative_binary64_5739` `associate-r/_binary64_5750` `associate-*l/_binary64_5751`

Counts

4 → 248

Calls

4 calls:

35.0ms	(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))
8.0ms	(/.f64 (+.f64 x y) (+.f64 y 1))
8.0ms	(sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1)))
8.0ms	(/.f64 (+.f64 x y) (+.f64 y 1))

series341.0ms (14.4%)

Counts

4 → 12

Calls

4 calls:

123.0ms	(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))
116.0ms	(sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1)))
52.0ms	(/.f64 (+.f64 x y) (+.f64 y 1))
51.0ms	(/.f64 (+.f64 x y) (+.f64 y 1))

simplify106.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4933	4782
1	4933	4782

prune277.0ms (11.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	260	0	260
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	260	4	264

Merged error: 0b

Counts

264 → 4

Compiler

Compiled 5405 to 2959 computations (45.3% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_5806`
8×	`add-sqr-sqrt_binary64_5827`
6×	`add-log-exp_binary64_5842`
4×	`distribute-lft-out--_binary64_5760`
3×	`difference-of-squares_binary64_5775`
2×	`div-inv_binary64_5803` `frac-sub_binary64_5815` `distribute-lft-out_binary64_5759` `times-frac_binary64_5812` `diff-log_binary64_5895`
1×	`pow1_binary64_5864` `flip3-+_binary64_5809` `flip-+_binary64_5780` `associate--l+_binary64_5745` `sub-neg_binary64_5799` `add-exp-log_binary64_5841` `add-cbrt-cube_binary64_5839` `flip3--_binary64_5810` `add-cube-cbrt_binary64_5838` `sum-log_binary64_5894` `flip--_binary64_5781`

Counts

1 → 22

Calls

1 calls:

13.0ms

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

series24.0ms (1%)

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify63.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5299	518

prune21.0ms (0.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	25	4	29

Merged error: 0b

Counts

29 → 4

Compiler

Compiled 401 to 241 computations (39.9% saved)

regimes63.0ms (2.6%)

Compiler: Compiled 498 to 365 computations (26.7% 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%)

sample536.0ms (22.5%)

Algorithm

1×

intervals

Results

192.0ms	7999×	body	128	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 175 to 130 computations (25.7% saved)

Details

analyze37.0ms (1.6%)

sample12.0ms (0.5%)

simplify165.0ms (6.9%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite12.0ms (0.5%)

series56.0ms (2.4%)

simplify64.0ms (2.7%)

prune40.0ms (1.7%)

localize8.0ms (0.3%)

rewrite44.0ms (1.9%)

series204.0ms (8.6%)

simplify68.0ms (2.9%)

prune97.0ms (4.1%)

localize7.0ms (0.3%)

rewrite100.0ms (4.2%)

series341.0ms (14.4%)

simplify106.0ms (4.4%)

prune277.0ms (11.7%)

localize6.0ms (0.2%)

rewrite15.0ms (0.6%)

series24.0ms (1%)

simplify63.0ms (2.7%)

prune21.0ms (0.9%)

regimes63.0ms (2.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample536.0ms (22.5%)

Profiling