Details

analyze72.0ms (2.1%)

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
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
64%	31.2%	4.8%	8
70.2%	21.9%	7.9%	9
75.7%	15.2%	9.1%	10
78.8%	10.5%	10.6%	11
81.6%	7.5%	10.9%	12
83.1%	5.2%	11.7%	13
84.5%	3.7%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify104.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	10
1	45	10

prune2.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite39.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64_2845`
4×	`sum-log_binary64_2897` `*-un-lft-identity_binary64_2806`
2×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736`
1×	`distribute-lft-out_binary64_2757` `associate-+l+_binary64_2739`

Counts

2 → 25

Calls

2 calls:

12.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
7.0ms	(+.f64 (*.f64 x y) x)

Compiler

Compiled 363 to 90 computations (75.2% saved)

series178.0ms (5.3%)

Error

Counts

2 → 21

Calls

2 calls:

94.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
66.0ms	(+.f64 (*.f64 x y) x)

Compiler

Compiled 322 to 197 computations (38.8% saved)

simplify50.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4983	484
1	4983	484

prune27.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Error

Counts

47 → 3

Compiler

Compiled 479 to 112 computations (76.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 y x))) (cbrt.f64 (+.f64 x (*.f64 y x))))
0.6b	(cbrt.f64 (+.f64 x (*.f64 y x)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 y x)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 y x)))

rewrite132.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

39×	`cbrt-prod_binary64_2837`
23×	`add-sqr-sqrt_binary64_2828`
22×	`*-un-lft-identity_binary64_2806`
18×	`cbrt-div_binary64_2838`
15×	`add-cube-cbrt_binary64_2841`
11×	`pow1_binary64_2867`
9×	`pow1/3_binary64_2888` `flip3-+_binary64_2809` `flip-+_binary64_2780`
8×	`swap-sqr_binary64_2773` `associate-l_binary64_2747` `associate-r_binary64_2746`
7×	`distribute-rgt1-in_binary64_2762` `distribute-rgt-out_binary64_2759`
6×	`add-exp-log_binary64_2844`
4×	`add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `frac-times_binary64_2816` `unswap-sqr_binary64_2774`
2×	`pow-prod-down_binary64_2877` `pow-prod-up_binary64_2876` `pow-sqr_binary64_2779` `associate-l/_binary64_2749` `associate-r/_binary64_2748`
1×	`pow2_binary64_2887` `pow-plus_binary64_2869` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `*-commutative_binary64_2737`

Counts

4 → 99

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 y x))) (cbrt.f64 (+.f64 x (*.f64 y x))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 y x)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 y x)))
2.0ms	(cbrt.f64 (+.f64 x (*.f64 y x)))

Compiler

Compiled 3112 to 513 computations (83.5% saved)

series890.0ms (26.7%)

Error

Counts

4 → 45

Calls

4 calls:

240.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 y x))) (cbrt.f64 (+.f64 x (*.f64 y x))))
204.0ms	(cbrt.f64 (+.f64 x (*.f64 y x)))
191.0ms	(cbrt.f64 (+.f64 x (*.f64 y x)))
184.0ms	(cbrt.f64 (+.f64 x (*.f64 y x)))

Compiler

Compiled 3945 to 2500 computations (36.6% saved)

simplify140.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4912	2529
1	4912	2529

prune140.0ms (4.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	144	3	147

Error

Counts

147 → 3

Compiler

Compiled 3887 to 892 computations (77.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (*.f64 y x) (+.f64 y x)))
0.0b	(+.f64 (*.f64 y x) (+.f64 y x))
0.0b	(+.f64 (*.f64 y x) (+.f64 y x))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 y x) (+.f64 y x))) (sqrt.f64 (+.f64 (*.f64 y x) (+.f64 y x))))

rewrite129.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-sqr-sqrt_binary64_2828`
21×	`sqrt-prod_binary64_2822`
20×	`pow1_binary64_2867`
14×	`add-log-exp_binary64_2845` `sqrt-div_binary64_2823`
13×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
9×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `flip3-+_binary64_2809` `flip-+_binary64_2780`
8×	`swap-sqr_binary64_2773`
6×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `associate-l_binary64_2747` `associate-r_binary64_2746` `sum-log_binary64_2897`
5×	`pow-prod-up_binary64_2876`
4×	`frac-times_binary64_2816` `unswap-sqr_binary64_2774`
3×	`pow-prod-down_binary64_2877` `rem-sqrt-square_binary64_2819` `pow-sqr_binary64_2779`
2×	`associate-l/_binary64_2749` `associate-r/_binary64_2748` `associate-+r+_binary64_2738` `+-commutative_binary64_2736`
1×	`pow2_binary64_2887` `pow-plus_binary64_2869` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `sqrt-unprod_binary64_2826` `sqr-abs_binary64_2821` `rem-square-sqrt_binary64_2818` `*-commutative_binary64_2737`

Counts

4 → 99

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 y x) (+.f64 y x))) (sqrt.f64 (+.f64 (*.f64 y x) (+.f64 y x))))
12.0ms	(+.f64 (*.f64 y x) (+.f64 y x))
6.0ms	(+.f64 (*.f64 y x) (+.f64 y x))
6.0ms	(sqrt.f64 (+.f64 (*.f64 y x) (+.f64 y x)))

Compiler

Compiled 2806 to 324 computations (88.5% saved)

series335.0ms (10%)

Error

Counts

4 → 44

Calls

4 calls:

87.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 y x) (+.f64 y x))) (sqrt.f64 (+.f64 (*.f64 y x) (+.f64 y x))))
77.0ms	(sqrt.f64 (+.f64 (*.f64 y x) (+.f64 y x)))
75.0ms	(+.f64 (*.f64 y x) (+.f64 y x))
74.0ms	(+.f64 (*.f64 y x) (+.f64 y x))

Compiler

Compiled 1678 to 871 computations (48.1% saved)

simplify108.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4956	2042
1	4956	2042

prune91.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	143	3	146

Error

Counts

146 → 3

Compiler

Compiled 2593 to 339 computations (86.9% saved)

regimes107.0ms (3.2%)

Accuracy

Total 0.0b remaining (98.6%)

Threshold costs 0.0b (98.6%)

Compiler

Compiled 846 to 438 computations (48.2% 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%)

sample753.0ms (22.5%)

Algorithm

1×

intervals

Results

204.0ms	8000×	body	128	valid
2.0ms	65×	body	128	invalid

Compiler

Compiled 291 to 153 computations (47.4% saved)

Details

analyze72.0ms (2.1%)

sample17.0ms (0.5%)

simplify104.0ms (3.1%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite39.0ms (1.2%)

series178.0ms (5.3%)

simplify50.0ms (1.5%)

prune27.0ms (0.8%)

localize10.0ms (0.3%)

rewrite132.0ms (3.9%)

series890.0ms (26.7%)

simplify140.0ms (4.2%)

prune140.0ms (4.2%)

localize7.0ms (0.2%)

rewrite129.0ms (3.9%)

series335.0ms (10%)

simplify108.0ms (3.2%)

prune91.0ms (2.7%)

regimes107.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample753.0ms (22.5%)

Profiling