Details

analyze76.0ms (2.6%)

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
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample19.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify163.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite20.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_8603`
12×	`times-frac_binary64_8609`
10×	`add-cube-cbrt_binary64_8638` `add-sqr-sqrt_binary64_8625`
4×	`distribute-lft-out_binary64_8554` `associate-/r*_binary64_8547`
3×	`associate-/l*_binary64_8548` `add-exp-log_binary64_8641` `add-cbrt-cube_binary64_8639`
2×	`associate-/r/_binary64_8549`
1×	`div-exp_binary64_8654` `flip3-+_binary64_8606` `add-log-exp_binary64_8642` `flip-+_binary64_8577` `clear-num_binary64_8602` `cbrt-undiv_binary64_8637` `div-inv_binary64_8600` `frac-2neg_binary64_8614` `pow1_binary64_8664`

Counts

1 → 33

Calls

1 calls:

16.0ms

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

series46.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify131.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	5261	431

prune47.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

Compiler

Compiled 394 to 116 computations (70.6% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x y) x)
0.5b	(/.f64 1 (/.f64 (+.f64 x y) x))

rewrite50.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64_8609`
92×	`*-un-lft-identity_binary64_8603`
60×	`add-cube-cbrt_binary64_8638` `add-sqr-sqrt_binary64_8625`
19×	`associate-/r*_binary64_8547`
16×	`distribute-lft-out_binary64_8554`
15×	`add-exp-log_binary64_8641`
9×	`add-cbrt-cube_binary64_8639`
8×	`div-exp_binary64_8654`
7×	`associate-/l*_binary64_8548`
6×	`div-inv_binary64_8600`
4×	`cbrt-undiv_binary64_8637`
3×	`pow1_binary64_8664`
2×	`add-log-exp_binary64_8642` `clear-num_binary64_8602` `associate-/l/_binary64_8550` `1-exp_binary64_8647` `frac-2neg_binary64_8614` `rec-exp_binary64_8653`
1×	`flip3-+_binary64_8606` `flip-+_binary64_8577` `inv-pow_binary64_8688` `associate-/r/_binary64_8549` `pow-flip_binary64_8677`

Counts

2 → 121

Calls

2 calls:

19.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))
10.0ms	(/.f64 (+.f64 x y) x)

series78.0ms (2.7%)

Counts

2 → 6

Calls

2 calls:

48.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))
30.0ms	(/.f64 (+.f64 x y) x)

simplify141.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	5187	1957

prune138.0ms (4.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	127	4	131

Merged error: 0.0b

Counts

131 → 4

Compiler

Compiled 1674 to 496 computations (70.4% saved)

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.1b	(pow.f64 (/.f64 x (+.f64 x y)) 3)
13.1b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

rewrite65.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_8603`
60×	`times-frac_binary64_8609`
46×	`add-cube-cbrt_binary64_8638` `add-sqr-sqrt_binary64_8625`
42×	`cbrt-prod_binary64_8634`
36×	`unpow-prod-down_binary64_8682` `cube-prod_binary64_8631`
16×	`distribute-lft-out_binary64_8554`
10×	`associate-/r/_binary64_8549`
8×	`add-exp-log_binary64_8641` `add-cbrt-cube_binary64_8639`
5×	`flip3-+_binary64_8606` `flip-+_binary64_8577` `div-inv_binary64_8600`
4×	`associate-/r*_binary64_8547` `pow1_binary64_8664`
3×	`add-log-exp_binary64_8642` `associate-/l*_binary64_8548` `pow-unpow_binary64_8680`
2×	`div-exp_binary64_8654` `unpow3_binary64_8669` `cube-div_binary64_8632` `sqr-pow_binary64_8575` `cube-mult_binary64_8633` `cbrt-undiv_binary64_8637` `pow-exp_binary64_8671` `rem-cube-cbrt_binary64_8626`
1×	`pow1/3_binary64_8685` `clear-num_binary64_8602` `pow-pow_binary64_8675` `pow-to-exp_binary64_8672` `cbrt-div_binary64_8635` `rem-cbrt-cube_binary64_8627` `frac-2neg_binary64_8614`

Counts

3 → 141

Calls

3 calls:

17.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
16.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
10.0ms	(/.f64 x (+.f64 x y))

series193.0ms (6.7%)

Counts

3 → 9

Calls

3 calls:

101.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
46.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
45.0ms	(/.f64 x (+.f64 x y))

simplify142.0ms (5%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5007	2125

prune178.0ms (6.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	150	4	154

Merged error: 0.0b

Counts

154 → 4

Compiler

Compiled 1904 to 667 computations (65% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite60.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`*-un-lft-identity_binary64_8603`
52×	`add-sqr-sqrt_binary64_8625` `times-frac_binary64_8609`
36×	`add-cube-cbrt_binary64_8638`
35×	`sqrt-prod_binary64_8619`
30×	`associate-r_binary64_8543`
13×	`distribute-lft-out_binary64_8554`
9×	`add-exp-log_binary64_8641` `add-cbrt-cube_binary64_8639`
6×	`associate-/l_binary64_8548` `associate-l*_binary64_8544` `unswap-sqr_binary64_8571`
4×	`associate-/r*_binary64_8547` `pow1_binary64_8664` `associate-/r/_binary64_8549`
2×	`div-exp_binary64_8654` `flip3-+_binary64_8606` `add-log-exp_binary64_8642` `cbrt-unprod_binary64_8636` `flip-+_binary64_8577` `cbrt-undiv_binary64_8637` `div-inv_binary64_8600` `prod-exp_binary64_8652`
1×	`associate-r/_binary64_8545` `clear-num_binary64_8602` `-commutative_binary64_8534` `frac-2neg_binary64_8614` `pow-prod-down_binary64_8674`

Counts

2 → 104

Calls

2 calls:

31.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x y)))
12.0ms	(/.f64 (sqrt.f64 x) (+.f64 x y))

series141.0ms (4.9%)

Counts

2 → 6

Calls

2 calls:

86.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x y)))
54.0ms	(/.f64 (sqrt.f64 x) (+.f64 x y))

simplify147.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	5329	1577

prune115.0ms (4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	110	4	114

Merged error: 0.0b

Counts

114 → 4

Compiler

Compiled 1592 to 269 computations (83.1% saved)

regimes91.0ms (3.2%)

Compiler: Compiled 275 to 196 computations (28.7% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms (0%)

sample785.0ms (27.3%)

Algorithm

1×

intervals

Results

290.0ms

8000×

body

128

valid

Compiler

Compiled 98 to 71 computations (27.6% saved)

Details

analyze76.0ms (2.6%)

sample19.0ms (0.7%)

simplify163.0ms (5.7%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite20.0ms (0.7%)

series46.0ms (1.6%)

simplify131.0ms (4.5%)

prune47.0ms (1.6%)

localize9.0ms (0.3%)

rewrite50.0ms (1.7%)

series78.0ms (2.7%)

simplify141.0ms (4.9%)

prune138.0ms (4.8%)

localize12.0ms (0.4%)

rewrite65.0ms (2.2%)

series193.0ms (6.7%)

simplify142.0ms (5%)

prune178.0ms (6.2%)

localize11.0ms (0.4%)

rewrite60.0ms (2.1%)

series141.0ms (4.9%)

simplify147.0ms (5.1%)

prune115.0ms (4%)

regimes91.0ms (3.2%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

end0.0ms (0%)

sample785.0ms (27.3%)

Profiling