Details

analyze151.0ms (5.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	14
1	138	14
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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
43.7%	34.3%	22%	7
46.8%	29.7%	23.5%	8
58.5%	17.2%	24.3%	9
60.5%	14.8%	24.7%	10
66.5%	8.6%	24.9%	11
67.6%	7.4%	25%	12
70.7%	4.3%	25%	13
71.2%	3.7%	25%	14

Symmetry

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample12.0ms (0.4%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify10.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	90	7
1	90	7

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_2845`
2×	`add-sqr-sqrt_binary64_2828`
1×	`diff-log_binary64_2898` `pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `flip3--_binary64_2810` `*-un-lft-identity_binary64_2806` `sub-neg_binary64_2799` `flip--_binary64_2781` `difference-of-squares_binary64_2775` `cancel-sign-sub-inv_binary64_2772`

Counts

1 → 13

Calls

1 calls:

3.0ms

(-.f64 x (*.f64 y y))

Compiler

Compiled 152 to 47 computations (69.1% saved)

series76.0ms (2.9%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

70.0ms

(-.f64 x (*.f64 y y))

Compiler

Compiled 126 to 116 computations (7.9% saved)

simplify54.0ms (2%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5263	214

prune15.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	4	26

Error

0.0b

Counts

26 → 4

Compiler

Compiled 206 to 66 computations (68% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite40.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64_2828`
9×	`*-un-lft-identity_binary64_2806`
6×	`cancel-sign-sub-inv_binary64_2772` `associate-r_binary64_2746`
5×	`add-cube-cbrt_binary64_2841`
4×	`frac-times_binary64_2816` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `associate-l_binary64_2747`
3×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `flip3--_binary64_2810` `flip3-+_binary64_2809` `flip--_binary64_2781` `flip-+_binary64_2780`
2×	`sub-neg_binary64_2799` `associate-l/_binary64_2749` `associate-r/_binary64_2748` `difference-of-squares_binary64_2775`
1×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `add-log-exp_binary64_2845` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `distribute-lft-out_binary64_2757` `sqrt-prod_binary64_2822` `distribute-lft-out--_binary64_2758` `*-commutative_binary64_2737`

Counts

1 → 38

Calls

1 calls:

11.0ms

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

Compiler

Compiled 760 to 160 computations (78.9% saved)

series103.0ms (3.9%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

99.0ms

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

Compiler

Compiled 146 to 139 computations (4.8% saved)

simplify65.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5180	722

prune27.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	47	4	51

Error

0.0b

Counts

51 → 4

Compiler

Compiled 646 to 138 computations (78.6% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (+.f64 (.f64 y y) x))
0.6b	(+.f64 (pow.f64 y 4) (.f64 x (+.f64 (.f64 y y) x)))
1.6b	(-.f64 (pow.f64 x 3) (pow.f64 y 6))
41.4b	(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 x (+.f64 (.f64 y y) x))))

rewrite306.0ms (11.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

116×	`add-sqr-sqrt_binary64_2828`
60×	`difference-of-squares_binary64_2775`
48×	`times-frac_binary64_2812`
39×	`*-un-lft-identity_binary64_2806`
38×	`unpow-prod-down_binary64_2885`
36×	`sqr-pow_binary64_2778`
29×	`add-cube-cbrt_binary64_2841`
16×	`associate-/l*_binary64_2751`
15×	`cube-prod_binary64_2834`
8×	`add-exp-log_binary64_2844` `add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842`
7×	`cancel-sign-sub-inv_binary64_2772`
6×	`pow1_binary64_2867`
5×	`distribute-lft-out--_binary64_2758`
3×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-/r_binary64_2750` `associate-l_binary64_2747` `associate-r*_binary64_2746`
2×	`flip3--_binary64_2810` `associate-/l/_binary64_2753` `flip--_binary64_2781` `associate-/r/_binary64_2752` `distribute-rgt-in_binary64_2756` `associate-+r+_binary64_2738` `distribute-lft-in_binary64_2755` `associate-*r/_binary64_2748`
1×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `div-sub_binary64_2811` `clear-num_binary64_2805` `div-inv_binary64_2803` `diff-log_binary64_2898` `sub-neg_binary64_2799` `sum-log_binary64_2897` `+-commutative_binary64_2736` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737`

Counts

4 → 150

Calls

4 calls:

17.0ms	(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 x (+.f64 (.f64 y y) x))))
10.0ms	(-.f64 (pow.f64 x 3) (pow.f64 y 6))
7.0ms	(.f64 x (+.f64 (.f64 y y) x))
5.0ms	(+.f64 (pow.f64 y 4) (.f64 x (+.f64 (.f64 y y) x)))

Compiler

Compiled 5253 to 2765 computations (47.4% saved)

series811.0ms (30.5%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

260.0ms	(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 x (+.f64 (.f64 y y) x))))
205.0ms	(+.f64 (pow.f64 y 4) (.f64 x (+.f64 (.f64 y y) x)))
199.0ms	(-.f64 (pow.f64 x 3) (pow.f64 y 6))
107.0ms	(.f64 x (+.f64 (.f64 y y) x))

Compiler

Compiled 1944 to 1457 computations (25.1% saved)

simplify100.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5057	5562

prune261.0ms (9.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	204	4	208

Error

0.0b

Counts

208 → 4

Compiler

Compiled 5499 to 2830 computations (48.5% saved)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Error

0.0b

Counts

4 → 4

Compiler

Compiled 0 to 0 computations (0% saved)

regimes70.0ms (2.6%)

Accuracy

Total 0.0b remaining (51.6%)

Threshold costs 0.0b (51.6%)

Compiler

Compiled 468 to 346 computations (26.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	23	7

Removed

()

end0.0ms (0%)

sample512.0ms (19.2%)

Algorithm

1×

intervals

Results

144.0ms	8000×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 123 to 92 computations (25.2% saved)

Details

analyze151.0ms (5.7%)

sample12.0ms (0.4%)

simplify10.0ms (0.4%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite12.0ms (0.4%)

series76.0ms (2.9%)

simplify54.0ms (2%)

prune15.0ms (0.6%)

localize7.0ms (0.3%)

rewrite40.0ms (1.5%)

series103.0ms (3.9%)

simplify65.0ms (2.4%)

prune27.0ms (1%)

localize15.0ms (0.5%)

rewrite306.0ms (11.5%)

series811.0ms (30.5%)

simplify100.0ms (3.7%)

prune261.0ms (9.8%)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.2%)

prune0.0ms (0%)

regimes70.0ms (2.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample512.0ms (19.2%)

Profiling