Details

analyze485.0ms (8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	376	52
1	376	52
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample21.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	236×	body	128	valid
1.0ms	6×	body	512	valid
1.0ms	7×	body	1024	valid
0.0ms	5×	body	256	valid
0.0ms	2×	body	2048	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	149	13
1	149	13

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-log-exp_binary64_2845`
3×	`sum-log_binary64_2897` `*-un-lft-identity_binary64_2806`
1×	`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` `distribute-lft-out_binary64_2757` `associate-+r+_binary64_2738` `+-commutative_binary64_2736`

Counts

1 → 14

Calls

1 calls:

12.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

Compiler

Compiled 253 to 135 computations (46.6% saved)

series156.0ms (2.6%)

Error

0.1b

Counts

1 → 18

Calls

1 calls:

133.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

Compiler

Compiled 305 to 284 computations (6.9% saved)

simplify76.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5241	419

prune33.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	3	33

Error

0.0b

Counts

33 → 3

Compiler

Compiled 394 to 189 computations (52% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-log-exp_binary64_2845`
6×	`sum-log_binary64_2897`
1×	`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` `*-un-lft-identity_binary64_2806` `flip-+_binary64_2780` `associate-+l+_binary64_2739` `+-commutative_binary64_2736`

Counts

1 → 14

Calls

1 calls:

12.0ms

(+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))

Compiler

Compiled 256 to 118 computations (53.9% saved)

series155.0ms (2.6%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

144.0ms

(+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))

Compiler

Compiled 305 to 284 computations (6.9% saved)

simplify116.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5060	425

prune23.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Error

0.0b

Counts

35 → 3

Compiler

Compiled 382 to 167 computations (56.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))
0.0b	(sqrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)))
0.0b	(sqrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)))
0.3b	(.f64 (sqrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (.f64 3 x))) (sqrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))))

rewrite237.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64_2828`
24×	`sqrt-prod_binary64_2822`
21×	`pow1_binary64_2867`
16×	`sqrt-div_binary64_2823`
14×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
13×	`add-log-exp_binary64_2845`
10×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824`
9×	`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×	`rem-sqrt-square_binary64_2819` `frac-times_binary64_2816` `unswap-sqr_binary64_2774`
3×	`pow-prod-down_binary64_2877` `pow-sqr_binary64_2779`
2×	`associate-l/_binary64_2749` `associate-r/_binary64_2748`
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` `associate-+l+_binary64_2739` `+-commutative_binary64_2736`

Counts

4 → 102

Calls

4 calls:

32.0ms	(.f64 (sqrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (.f64 3 x))) (sqrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))))
11.0ms	(+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))
9.0ms	(sqrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)))
9.0ms	(sqrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)))

Compiler

Compiled 3519 to 1655 computations (53% saved)

series529.0ms (8.7%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

144.0ms	(.f64 (sqrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (.f64 3 x))) (sqrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))))
135.0ms	(+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))
98.0ms	(sqrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)))
97.0ms	(sqrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)))

Compiler

Compiled 2700 to 2015 computations (25.4% saved)

simplify111.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4909	2686
1	4909	2686

prune164.0ms (2.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	161	1	162
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	161	4	165

Error

0.0b

Counts

165 → 4

Compiler

Compiled 3475 to 1596 computations (54.1% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (sqrt.f64 (+.f64 (*.f64 3 x) (+.f64 (+.f64 y y) z))))
0.2b	(cbrt.f64 (sqrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))))
0.2b	(cbrt.f64 (sqrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))))
0.4b	(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 3 x) (+.f64 (+.f64 y y) z)))) 4)

rewrite216.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`cbrt-prod_binary64_2837`
14×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
12×	`sqrt-prod_binary64_2822`
9×	`unpow-prod-down_binary64_2885`
6×	`sqrt-div_binary64_2823` `cbrt-div_binary64_2838`
5×	`pow1_binary64_2867` `add-exp-log_binary64_2844`
4×	`pow1/3_binary64_2888` `add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842`
3×	`pow-unpow_binary64_2883` `flip3-+_binary64_2809` `flip-+_binary64_2780`
2×	`pow-pow_binary64_2878`
1×	`pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `sqr-pow_binary64_2778`

Counts

4 → 72

Calls

4 calls:

13.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 3 x) (+.f64 (+.f64 y y) z)))) 4)
11.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (*.f64 3 x) (+.f64 (+.f64 y y) z))))
10.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))))
10.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))))

Compiler

Compiled 3590 to 1918 computations (46.6% saved)

series1.4s (23.3%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

748.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 3 x) (+.f64 (+.f64 y y) z)))) 4)
205.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))))
199.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))))
174.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (*.f64 3 x) (+.f64 (+.f64 y y) z))))

Compiler

Compiled 6832 to 5150 computations (24.6% saved)

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4941	2905
1	4941	2905

prune268.0ms (4.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	119	5	124

Error

0.0b

Counts

124 → 5

Compiler

Compiled 5161 to 2980 computations (42.3% saved)

regimes368.0ms (6.1%)

Accuracy

Total 0.0b remaining (63.7%)

Threshold costs 0.0b (63.7%)

Compiler

Compiled 3960 to 2730 computations (31.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms (0%)

sample1.5s (25%)

Algorithm

1×

intervals

Results

238.0ms	7414×	body	128	valid
24.0ms	220×	body	1024	valid
19.0ms	175×	body	512	valid
13.0ms	90×	body	2048	valid
10.0ms	101×	body	256	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 1004 to 694 computations (30.9% saved)

Details

analyze485.0ms (8%)

sample21.0ms (0.3%)

simplify9.0ms (0.1%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

rewrite25.0ms (0.4%)

series156.0ms (2.6%)

simplify76.0ms (1.3%)

prune33.0ms (0.5%)

localize6.0ms (0.1%)

rewrite24.0ms (0.4%)

series155.0ms (2.6%)

simplify116.0ms (1.9%)

prune23.0ms (0.4%)

localize9.0ms (0.1%)

rewrite237.0ms (3.9%)

series529.0ms (8.7%)

simplify111.0ms (1.8%)

prune164.0ms (2.7%)

localize17.0ms (0.3%)

rewrite216.0ms (3.6%)

series1.4s (23.3%)

simplify76.0ms (1.2%)

prune268.0ms (4.4%)

regimes368.0ms (6.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.5s (25%)

Profiling