Details

analyze163.0ms (5.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	20
1	24	20
0	2	2
1	2	2

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%	56.2%	18.8%	6
37.5%	40.6%	22%	7
46.8%	29.7%	23.5%	8
54.6%	21.1%	24.3%	9
60.1%	15.2%	24.7%	10
64.4%	10.7%	24.9%	11
67.3%	7.7%	25%	12
69.6%	5.4%	25%	13
71.1%	3.9%	25%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample14.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify13.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	10
1	14	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)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite28.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64_22964`
4×	`sum-log_binary64_23016` `*-un-lft-identity_binary64_22925`
2×	`pow1_binary64_22986` `add-exp-log_binary64_22963` `add-cbrt-cube_binary64_22961` `add-cube-cbrt_binary64_22960` `add-sqr-sqrt_binary64_22947` `flip3-+_binary64_22928` `flip-+_binary64_22899` `+-commutative_binary64_22855`
1×	`distribute-lft-out_binary64_22876` `associate-+l+_binary64_22858`

Counts

2 → 25

Calls

2 calls:

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

Compiler

Compiled 363 to 88 computations (75.8% saved)

series158.0ms (5.4%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

84.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
62.0ms	(+.f64 (*.f64 x x) y)

Compiler

Compiled 336 to 282 computations (16.1% saved)

simplify71.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5173	457

prune27.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	3	50

Error

Counts

50 → 3

Compiler

Compiled 474 to 109 computations (77% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-log-exp_binary64_22964`
3×	`sum-log_binary64_23016`
1×	`pow1_binary64_22986` `add-exp-log_binary64_22963` `add-cbrt-cube_binary64_22961` `add-cube-cbrt_binary64_22960` `add-sqr-sqrt_binary64_22947` `flip3-+_binary64_22928` `*-un-lft-identity_binary64_22925` `flip-+_binary64_22899` `associate-+l+_binary64_22858` `+-commutative_binary64_22855`

Counts

1 → 13

Calls

1 calls:

7.0ms

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

Compiler

Compiled 196 to 46 computations (76.5% saved)

series93.0ms (3.2%)

Error

Counts

1 → 12

Calls

1 calls:

87.0ms

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

Compiler

Compiled 162 to 152 computations (6.2% saved)

simplify48.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5120	272

prune15.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Error

Counts

28 → 3

Compiler

Compiled 255 to 61 computations (76.1% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite116.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64_22947`
24×	`sqrt-prod_binary64_22941`
21×	`pow1_binary64_22986`
16×	`sqrt-div_binary64_22942`
14×	`add-cube-cbrt_binary64_22960` `*-un-lft-identity_binary64_22925`
10×	`pow1/2_binary64_23005` `sqrt-pow1_binary64_22943`
9×	`flip3-+_binary64_22928` `flip-+_binary64_22899`
8×	`swap-sqr_binary64_22892`
6×	`add-exp-log_binary64_22963` `add-log-exp_binary64_22964` `add-cbrt-cube_binary64_22961` `associate-l_binary64_22866` `associate-r_binary64_22865`
5×	`pow-prod-up_binary64_22995`
4×	`rem-sqrt-square_binary64_22938` `frac-times_binary64_22935` `unswap-sqr_binary64_22893`
3×	`pow-prod-down_binary64_22996` `pow-sqr_binary64_22898`
2×	`associate-l/_binary64_22868` `associate-r/_binary64_22867`
1×	`pow2_binary64_23006` `pow-plus_binary64_22988` `prod-exp_binary64_22974` `cbrt-unprod_binary64_22958` `sqrt-unprod_binary64_22945` `sqr-abs_binary64_22940` `rem-square-sqrt_binary64_22937` `*-commutative_binary64_22856` `sum-log_binary64_23016` `+-commutative_binary64_22855`

Counts

4 → 99

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (+.f64 y (.f64 x x))) (sqrt.f64 (+.f64 y (*.f64 x x))))
10.0ms	(+.f64 (.f64 (sqrt.f64 (+.f64 y (.f64 x x))) (sqrt.f64 (+.f64 y (*.f64 x x)))) y)
3.0ms	(sqrt.f64 (+.f64 y (*.f64 x x)))
3.0ms	(sqrt.f64 (+.f64 y (*.f64 x x)))

Compiler

Compiled 2533 to 384 computations (84.8% saved)

series325.0ms (11.1%)

Error

Counts

4 → 52

Calls

4 calls:

86.0ms	(+.f64 (.f64 (sqrt.f64 (+.f64 y (.f64 x x))) (sqrt.f64 (+.f64 y (*.f64 x x)))) y)
75.0ms	(sqrt.f64 (+.f64 y (*.f64 x x)))
69.0ms	(.f64 (sqrt.f64 (+.f64 y (.f64 x x))) (sqrt.f64 (+.f64 y (*.f64 x x))))
63.0ms	(sqrt.f64 (+.f64 y (*.f64 x x)))

Compiler

Compiled 1638 to 1078 computations (34.2% saved)

simplify100.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4914	1773
1	4914	1773

prune95.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	151	3	154

Error

Counts

154 → 3

Compiler

Compiled 2327 to 580 computations (75.1% saved)

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 y y) (*.f64 x x))
1.6b	(-.f64 (.f64 y (.f64 y 4)) (pow.f64 x 4))
27.4b	(/.f64 (-.f64 (.f64 y (.f64 y 4)) (pow.f64 x 4)) (-.f64 (+.f64 y y) (*.f64 x x)))

rewrite304.0ms (10.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64_22947`
14×	`add-cube-cbrt_binary64_22960` `*-un-lft-identity_binary64_22925`
12×	`times-frac_binary64_22931`
10×	`add-log-exp_binary64_22964`
8×	`cancel-sign-sub-inv_binary64_22891`
5×	`add-exp-log_binary64_22963` `add-cbrt-cube_binary64_22961` `difference-of-squares_binary64_22894`
4×	`flip3--_binary64_22929` `flip--_binary64_22900` `associate-/r*_binary64_22869`
3×	`pow1_binary64_22986` `associate-/l*_binary64_22870` `diff-log_binary64_23017` `unpow-prod-down_binary64_23004`
2×	`associate-/l/_binary64_22872` `associate-/r/_binary64_22871` `sub-neg_binary64_22918`
1×	`div-exp_binary64_22976` `cbrt-undiv_binary64_22959` `frac-2neg_binary64_22936` `div-sub_binary64_22930` `clear-num_binary64_22924` `div-inv_binary64_22922` `sqr-pow_binary64_22897` `sum-log_binary64_23016` `associate--l+_binary64_22862`

Counts

3 → 69

Calls

3 calls:

14.0ms	(/.f64 (-.f64 (.f64 y (.f64 y 4)) (pow.f64 x 4)) (-.f64 (+.f64 y y) (*.f64 x x)))
8.0ms	(-.f64 (+.f64 y y) (*.f64 x x))
7.0ms	(-.f64 (.f64 y (.f64 y 4)) (pow.f64 x 4))

Compiler

Compiled 2050 to 956 computations (53.4% saved)

series472.0ms (16.1%)

Error

Counts

3 → 36

Calls

3 calls:

214.0ms	(/.f64 (-.f64 (.f64 y (.f64 y 4)) (pow.f64 x 4)) (-.f64 (+.f64 y y) (*.f64 x x)))
146.0ms	(-.f64 (.f64 y (.f64 y 4)) (pow.f64 x 4))
88.0ms	(-.f64 (+.f64 y y) (*.f64 x x))

Compiler

Compiled 1098 to 821 computations (25.2% saved)

simplify67.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4941	2094
1	4941	2094

prune91.0ms (3.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	105	3	108

Error

Counts

108 → 3

Compiler

Compiled 2238 to 934 computations (58.3% saved)

regimes96.0ms (3.3%)

Accuracy

Total 0.0b remaining (72.3%)

Threshold costs 0.0b (72.3%)

Compiler

Compiled 736 to 456 computations (38% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

end0.0ms (0%)

sample594.0ms (20.2%)

Algorithm

1×

intervals

Results

172.0ms	8000×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 200 to 126 computations (37% saved)

Details

analyze163.0ms (5.5%)

sample14.0ms (0.5%)

simplify13.0ms (0.4%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite28.0ms (1%)

series158.0ms (5.4%)

simplify71.0ms (2.4%)

prune27.0ms (0.9%)

localize4.0ms (0.1%)

rewrite16.0ms (0.5%)

series93.0ms (3.2%)

simplify48.0ms (1.6%)

prune15.0ms (0.5%)

localize6.0ms (0.2%)

rewrite116.0ms (4%)

series325.0ms (11.1%)

simplify100.0ms (3.4%)

prune95.0ms (3.2%)

localize12.0ms (0.4%)

rewrite304.0ms (10.3%)

series472.0ms (16.1%)

simplify67.0ms (2.3%)

prune91.0ms (3.1%)

regimes96.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample594.0ms (20.2%)

Profiling