Details

analyze64.0ms (4.3%)

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
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)

sample12.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify97.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	10
1	45	10

prune5.0ms (0.4%)

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)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_2504`
4×	`*-un-lft-identity_binary64_2465` `sum-log_binary64_2556`
2×	`flip3-+_binary64_2468` `+-commutative_binary64_2395` `flip-+_binary64_2439` `add-cube-cbrt_binary64_2500` `add-exp-log_binary64_2503` `add-sqr-sqrt_binary64_2487` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
1×	`associate-+l+_binary64_2398` `distribute-lft-out_binary64_2416`

Counts

2 → 25

Calls

2 calls:

6.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
4.0ms	(+.f64 (*.f64 x y) x)

series40.0ms (2.7%)

Counts

2 → 6

Calls

2 calls:

25.0ms	(+.f64 (*.f64 x y) x)
15.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

simplify62.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5030	394

prune19.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Error

Counts

32 → 3

Compiler

Compiled 387 to 106 computations (72.6% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y)))) y)
0.0b	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.0b	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.3b	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y))))

rewrite38.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_2487`
24×	`sqrt-prod_binary64_2481`
21×	`pow1_binary64_2526`
16×	`sqrt-div_binary64_2482`
14×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
10×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483`
9×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
8×	`swap-sqr_binary64_2432`
6×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-r_binary64_2405` `associate-l_binary64_2406`
5×	`pow-prod-up_binary64_2535`
4×	`frac-times_binary64_2475` `unswap-sqr_binary64_2433` `rem-sqrt-square_binary64_2478`
3×	`pow-prod-down_binary64_2536` `pow-sqr_binary64_2438`
2×	`associate-l/_binary64_2408` `associate-r/_binary64_2407`
1×	`sqr-abs_binary64_2480` `*-commutative_binary64_2396` `+-commutative_binary64_2395` `pow-plus_binary64_2528` `sum-log_binary64_2556` `sqrt-unprod_binary64_2485` `rem-square-sqrt_binary64_2477` `pow2_binary64_2546` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`

Counts

4 → 99

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y))))
11.0ms	(+.f64 (.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y)))) y)
3.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))

series92.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
25.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
24.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y))))
16.0ms	(+.f64 (.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y)))) y)

simplify98.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4960	1541
1	4960	1541

prune74.0ms (5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	111	3	114

Error

Counts

114 → 3

Compiler

Compiled 1931 to 427 computations (77.9% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1))) y)
1.1b	(log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1)))
1.3b	(pow.f64 (exp.f64 x) (+.f64 y 1))

rewrite19.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`log-prod_binary64_2551`
14×	`*-un-lft-identity_binary64_2465`
10×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
9×	`unpow-prod-down_binary64_2544`
8×	`associate-+l+_binary64_2398`
4×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `pow-pow_binary64_2537` `pow1_binary64_2526` `pow-unpow_binary64_2542`
3×	`add-cbrt-cube_binary64_2501` `sqr-pow_binary64_2437` `unpow-prod-up_binary64_2543` `exp-prod_binary64_2517` `rem-log-exp_binary64_2506`
2×	`pow-exp_binary64_2533` `pow-to-exp_binary64_2534` `distribute-lft-out_binary64_2416`
1×	`flip3-+_binary64_2468` `+-commutative_binary64_2395` `log-pow_binary64_2554` `sum-log_binary64_2556` `flip-+_binary64_2439`

Counts

3 → 61

Calls

3 calls:

6.0ms	(+.f64 (log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1))) y)
6.0ms	(pow.f64 (exp.f64 x) (+.f64 y 1))
3.0ms	(log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1)))

series214.0ms (14.4%)

Counts

3 → 9

Calls

3 calls:

98.0ms	(+.f64 (log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1))) y)
78.0ms	(log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1)))
37.0ms	(pow.f64 (exp.f64 x) (+.f64 y 1))

simplify104.0ms (7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5046	848

prune52.0ms (3.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	70	3	73

Error

Counts

73 → 3

Compiler

Compiled 918 to 569 computations (38% saved)

regimes39.0ms (2.7%)

Accuracy

Total 0.0b remaining (56.7%)

Threshold costs 0.0b (56.7%)

Compiler

Compiled 213 to 141 computations (33.8% 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%)

sample419.0ms (28.3%)

Algorithm

1×

intervals

Results

175.0ms	7999×	body	128	valid
2.0ms	87×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 80 to 54 computations (32.5% saved)

Details

analyze64.0ms (4.3%)

sample12.0ms (0.8%)

simplify97.0ms (6.5%)

prune5.0ms (0.4%)

localize4.0ms (0.3%)

rewrite12.0ms (0.8%)

series40.0ms (2.7%)

simplify62.0ms (4.2%)

prune19.0ms (1.3%)

localize7.0ms (0.4%)

rewrite38.0ms (2.6%)

series92.0ms (6.2%)

simplify98.0ms (6.7%)

prune74.0ms (5%)

localize7.0ms (0.4%)

rewrite19.0ms (1.3%)

series214.0ms (14.4%)

simplify104.0ms (7%)

prune52.0ms (3.5%)

regimes39.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample419.0ms (28.3%)

Profiling