Details

analyze100.0ms (3.3%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
56.2%	43.7%	0.1%	7
56.2%	43.7%	0.1%	8
76.5%	23.4%	0.1%	9
76.5%	23.4%	0.1%	10
87.8%	12.1%	0.1%	11
87.8%	12.1%	0.1%	12
93.8%	6.1%	0.1%	13
93.8%	6.1%	0.1%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample13.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify298.0ms (9.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	5533	10

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_14231`
3×	`add-log-exp_binary64_14267`
2×	`distribute-lft-out_binary64_14184` `times-frac_binary64_14237`
1×	`add-cbrt-cube_binary64_14264` `+-commutative_binary64_14163` `add-exp-log_binary64_14266` `flip3-+_binary64_14234` `add-sqr-sqrt_binary64_14252` `flip-+_binary64_14205` `pow1_binary64_14289` `sum-log_binary64_14319` `add-cube-cbrt_binary64_14263` `frac-add_binary64_14239`

Counts

1 → 14

Calls

1 calls:

13.0ms

(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

series38.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

38.0ms

(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

simplify64.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4936	239
1	4936	239

prune18.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	2	18

Merged error: 0.0b

Counts

18 → 2

Compiler

Compiled 220 to 168 computations (23.6% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
0.1b	(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.1b	(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.2b	(*.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))

rewrite91.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`*-un-lft-identity_binary64_14231`
40×	`sqrt-prod_binary64_14246`
30×	`sqrt-div_binary64_14247`
28×	`add-sqr-sqrt_binary64_14252`
21×	`pow1_binary64_14289`
16×	`distribute-lft-out_binary64_14184`
14×	`add-cube-cbrt_binary64_14263` `times-frac_binary64_14237`
12×	`swap-sqr_binary64_14198`
11×	`flip3-+_binary64_14234` `flip-+_binary64_14205` `frac-add_binary64_14239`
10×	`sqrt-pow1_binary64_14248` `pow1/2_binary64_14308`
9×	`frac-times_binary64_14241`
8×	`associate-l_binary64_14174` `associate-r_binary64_14173`
6×	`add-cbrt-cube_binary64_14264` `add-exp-log_binary64_14266` `add-log-exp_binary64_14267`
5×	`pow-prod-up_binary64_14298`
4×	`unswap-sqr_binary64_14199`
3×	`pow-prod-down_binary64_14299` `associate-l/_binary64_14176` `associate-r/_binary64_14175` `pow-sqr_binary64_14204`
2×	`rem-sqrt-square_binary64_14244`
1×	`rem-square-sqrt_binary64_14243` `+-commutative_binary64_14163` `pow-plus_binary64_14291` `prod-exp_binary64_14277` `pow2_binary64_14309` `sum-log_binary64_14319` `sqrt-unprod_binary64_14250` `*-commutative_binary64_14164` `cbrt-unprod_binary64_14261`

Counts

4 → 122

Calls

4 calls:

33.0ms	(*.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
16.0ms	(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
14.0ms	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
13.0ms	(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

series269.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

99.0ms	(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
96.0ms	(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
41.0ms	(*.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
33.0ms	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

simplify103.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4921	2440
1	4921	2440

prune160.0ms (5.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	133	3	136

Merged error: 0.0b

Counts

136 → 3

Compiler

Compiled 2757 to 2068 computations (25% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) 5) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))))
0.3b	(cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
0.3b	(cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
0.6b	(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) 5)

rewrite100.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`cbrt-prod_binary64_14259`
49×	`*-un-lft-identity_binary64_14231`
46×	`add-sqr-sqrt_binary64_14252`
33×	`sqrt-prod_binary64_14246`
31×	`unpow-prod-down_binary64_14307`
19×	`add-cube-cbrt_binary64_14263`
15×	`associate-l_binary64_14174` `unswap-sqr_binary64_14199`
11×	`associate-r_binary64_14173`
10×	`distribute-lft-out_binary64_14184` `add-exp-log_binary64_14266` `times-frac_binary64_14237`
9×	`sqrt-div_binary64_14247` `cbrt-div_binary64_14260`
6×	`pow1_binary64_14289`
5×	`add-cbrt-cube_binary64_14264` `sqr-pow_binary64_14203`
4×	`add-log-exp_binary64_14267`
3×	`flip3-+_binary64_14234` `prod-exp_binary64_14277` `flip-+_binary64_14205` `pow1/3_binary64_14310` `associate-*r/_binary64_14175` `pow-unpow_binary64_14305` `frac-add_binary64_14239`
2×	`pow-pow_binary64_14300` `pow-exp_binary64_14296` `pow-to-exp_binary64_14297`
1×	`pow-plus_binary64_14291` `*-commutative_binary64_14164` `pow-prod-up_binary64_14298` `cbrt-unprod_binary64_14261`

Counts

4 → 122

Calls

4 calls:

37.0ms	(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) 5) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))))
17.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
16.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) 5)
14.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))

series901.0ms (30%)

Counts

4 → 12

Calls

4 calls:

505.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) 5)
179.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
172.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
45.0ms	(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) 5) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))))

simplify80.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5040	3601

prune229.0ms (7.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	134	3	137

Merged error: 0.0b

Counts

137 → 3

Compiler

Compiled 3754 to 3059 computations (18.5% saved)

regimes22.0ms (0.7%)

Compiler: Compiled 94 to 90 computations (4.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample479.0ms (15.9%)

Algorithm

1×

intervals

Results

230.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 69 to 65 computations (5.8% saved)

Details

analyze100.0ms (3.3%)

sample13.0ms (0.4%)

simplify298.0ms (9.9%)

prune4.0ms (0.1%)

localize5.0ms (0.2%)

rewrite14.0ms (0.5%)

series38.0ms (1.3%)

simplify64.0ms (2.1%)

prune18.0ms (0.6%)

localize7.0ms (0.2%)

rewrite91.0ms (3%)

series269.0ms (8.9%)

simplify103.0ms (3.4%)

prune160.0ms (5.3%)

localize10.0ms (0.3%)

rewrite100.0ms (3.3%)

series901.0ms (30%)

simplify80.0ms (2.7%)

prune229.0ms (7.6%)

regimes22.0ms (0.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample479.0ms (15.9%)

Profiling