Details

analyze17.0ms (0.6%)

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
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample16.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	238×	body	128	valid
1.0ms	9×	body	2048	valid
0.0ms	5×	body	1024	valid
0.0ms	4×	body	512	valid

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify113.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	98	7
1	98	7

prune3.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 3/8 y))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_5573`
1×	`diff-log_binary64_5626` `cancel-sign-sub-inv_binary64_5500` `*-un-lft-identity_binary64_5534` `add-cbrt-cube_binary64_5570` `flip--_binary64_5509` `add-exp-log_binary64_5572` `add-sqr-sqrt_binary64_5556` `flip3--_binary64_5538` `add-cube-cbrt_binary64_5569` `pow1_binary64_5595` `sub-neg_binary64_5527`

Counts

1 → 12

Calls

1 calls:

3.0ms

(-.f64 x (*.f64 3/8 y))

series31.0ms (1%)

Counts

1 → 3

Calls

1 calls:

31.0ms

(-.f64 x (*.f64 3/8 y))

simplify103.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	5770	165

prune22.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	11	4	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	5	16

Merged error: 0.0b

Counts

16 → 5

Compiler

Compiled 195 to 141 computations (27.7% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
0.6b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

rewrite40.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5565`
23×	`add-sqr-sqrt_binary64_5556`
18×	`cbrt-div_binary64_5566`
15×	`*-un-lft-identity_binary64_5534` `add-cube-cbrt_binary64_5569`
11×	`pow1_binary64_5595`
9×	`flip--_binary64_5509` `flip3--_binary64_5538` `pow1/3_binary64_5616`
6×	`associate-l_binary64_5475` `swap-sqr_binary64_5501` `add-exp-log_binary64_5572` `associate-r_binary64_5474`
4×	`add-cbrt-cube_binary64_5570` `add-log-exp_binary64_5573` `frac-times_binary64_5544` `unswap-sqr_binary64_5502`
2×	`associate-l/_binary64_5477` `associate-r/_binary64_5476` `pow-sqr_binary64_5507` `pow-prod-up_binary64_5604` `pow-prod-down_binary64_5605`
1×	`cbrt-unprod_binary64_5567` `pow-plus_binary64_5597` `*-commutative_binary64_5465` `pow2_binary64_5615` `prod-exp_binary64_5583`

Counts

4 → 87

Calls

4 calls:

14.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
5.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
2.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series583.0ms (19.2%)

Counts

4 → 12

Calls

4 calls:

196.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
137.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
128.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
121.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify144.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4872	1786
1	4872	1786

prune161.0ms (5.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

Compiler

Compiled 2648 to 1924 computations (27.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 3/8 y))
0.1b	(.f64 y (.f64 y 9/64))
3.0b	(-.f64 (.f64 x x) (.f64 y (*.f64 y 9/64)))
28.2b	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 9/64))) (+.f64 x (.f64 3/8 y)))

rewrite45.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_5534` `add-sqr-sqrt_binary64_5556` `add-cube-cbrt_binary64_5569`
11×	`add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572`
9×	`times-frac_binary64_5540` `pow1_binary64_5595`
8×	`add-log-exp_binary64_5573`
3×	`cbrt-unprod_binary64_5567` `associate-l_binary64_5475` `associate-/l_binary64_5479` `associate-/r_binary64_5478` `prod-exp_binary64_5583` `pow-prod-down_binary64_5605`
2×	`flip-+_binary64_5508` `associate-/l/_binary64_5481` `flip3-+_binary64_5537` `flip--_binary64_5509` `associate-/r/_binary64_5480` `flip3--_binary64_5538`
1×	`div-inv_binary64_5531` `diff-log_binary64_5626` `cancel-sign-sub-inv_binary64_5500` `+-commutative_binary64_5464` `div-exp_binary64_5585` `sum-log_binary64_5625` `-commutative_binary64_5465` `frac-2neg_binary64_5545` `associate-r*_binary64_5474` `clear-num_binary64_5533` `div-sub_binary64_5539` `sub-neg_binary64_5527` `cbrt-undiv_binary64_5568`

Counts

4 → 73

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 9/64))) (+.f64 x (.f64 3/8 y)))
9.0ms	(.f64 y (.f64 y 9/64))
7.0ms	(-.f64 (.f64 x x) (.f64 y (*.f64 y 9/64)))
5.0ms	(+.f64 x (*.f64 3/8 y))

series173.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

71.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 9/64))) (+.f64 x (.f64 3/8 y)))
37.0ms	(.f64 y (.f64 y 9/64))
35.0ms	(-.f64 (.f64 x x) (.f64 y (*.f64 y 9/64)))
30.0ms	(+.f64 x (*.f64 3/8 y))

simplify67.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4990	1460
1	4990	1460

prune90.0ms (3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

Compiler

Compiled 1793 to 1098 computations (38.8% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 3/8 y))
0.0b	(sqrt.f64 (-.f64 x (*.f64 3/8 y)))
0.0b	(sqrt.f64 (-.f64 x (*.f64 3/8 y)))
0.3b	(.f64 (sqrt.f64 (-.f64 x (.f64 3/8 y))) (sqrt.f64 (-.f64 x (*.f64 3/8 y))))

rewrite33.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_5556`
24×	`sqrt-prod_binary64_5550`
21×	`pow1_binary64_5595`
16×	`sqrt-div_binary64_5551`
14×	`*-un-lft-identity_binary64_5534` `add-cube-cbrt_binary64_5569`
10×	`sqrt-pow1_binary64_5552` `pow1/2_binary64_5614`
9×	`flip--_binary64_5509` `flip3--_binary64_5538`
8×	`swap-sqr_binary64_5501`
6×	`associate-l_binary64_5475` `add-cbrt-cube_binary64_5570` `add-log-exp_binary64_5573` `add-exp-log_binary64_5572` `associate-r_binary64_5474`
5×	`pow-prod-up_binary64_5604`
4×	`frac-times_binary64_5544` `rem-sqrt-square_binary64_5547` `unswap-sqr_binary64_5502`
3×	`pow-sqr_binary64_5507` `pow-prod-down_binary64_5605`
2×	`associate-l/_binary64_5477` `associate-r/_binary64_5476`
1×	`diff-log_binary64_5626` `cbrt-unprod_binary64_5567` `cancel-sign-sub-inv_binary64_5500` `pow-plus_binary64_5597` `sqr-abs_binary64_5549` `*-commutative_binary64_5465` `pow2_binary64_5615` `prod-exp_binary64_5583` `sub-neg_binary64_5527` `rem-square-sqrt_binary64_5546` `sqrt-unprod_binary64_5554`

Counts

4 → 100

Calls

4 calls:

17.0ms	(.f64 (sqrt.f64 (-.f64 x (.f64 3/8 y))) (sqrt.f64 (-.f64 x (*.f64 3/8 y))))
3.0ms	(-.f64 x (*.f64 3/8 y))
3.0ms	(sqrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(sqrt.f64 (-.f64 x (*.f64 3/8 y)))

series141.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(sqrt.f64 (-.f64 x (*.f64 3/8 y)))
36.0ms	(sqrt.f64 (-.f64 x (*.f64 3/8 y)))
29.0ms	(.f64 (sqrt.f64 (-.f64 x (.f64 3/8 y))) (sqrt.f64 (-.f64 x (*.f64 3/8 y))))
25.0ms	(-.f64 x (*.f64 3/8 y))

simplify101.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4892	1545
1	4892	1545

prune143.0ms (4.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	2	1	3
Picked	0	1	1
Done	0	3	3
Total	112	7	119

Merged error: 0.0b

Counts

119 → 7

Compiler

Compiled 1818 to 1284 computations (29.4% saved)

regimes160.0ms (5.3%)

Compiler: Compiled 1040 to 886 computations (14.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms (0%)

sample812.0ms (26.7%)

Algorithm

1×

intervals

Results

224.0ms	7450×	body	128	valid
23.0ms	164×	body	2048	valid
21.0ms	180×	body	1024	valid
10.0ms	130×	body	512	valid
4.0ms	76×	body	256	valid

Compiler

Compiled 266 to 228 computations (14.3% saved)

Details

analyze17.0ms (0.6%)

sample16.0ms (0.5%)

simplify113.0ms (3.7%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

rewrite4.0ms (0.1%)

series31.0ms (1%)

simplify103.0ms (3.4%)

prune22.0ms (0.7%)

localize7.0ms (0.2%)

rewrite40.0ms (1.3%)

series583.0ms (19.2%)

simplify144.0ms (4.7%)

prune161.0ms (5.3%)

localize9.0ms (0.3%)

rewrite45.0ms (1.5%)

series173.0ms (5.7%)

simplify67.0ms (2.2%)

prune90.0ms (3%)

localize13.0ms (0.4%)

rewrite33.0ms (1.1%)

series141.0ms (4.6%)

simplify101.0ms (3.3%)

prune143.0ms (4.7%)

regimes160.0ms (5.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample812.0ms (26.7%)

Profiling