Details

analyze172.0ms (4.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	20
1	51	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
37.5%	62.4%	0.1%	6
43.7%	43.7%	12.6%	7
53.1%	34.3%	12.6%	8
57.8%	23.4%	18.8%	9
63.2%	18%	18.8%	10
66%	12.1%	22%	11
68.9%	9.2%	22%	12
70.3%	6.1%	23.5%	13
71.9%	4.6%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	32	10
1	32	10

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

5.6b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.3b	(.f64 x (+.f64 1 (.f64 y y)))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

5.5b

Rules

5×	`add-sqr-sqrt_binary64_13740`
3×	`pow1_binary64_13779` `add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754` `add-cube-cbrt_binary64_13753` `-un-lft-identity_binary64_13718` `associate-l_binary64_13659` `associate-r*_binary64_13658`
2×	`associate-*r/_binary64_13660`
1×	`pow-prod-down_binary64_13789` `prod-exp_binary64_13767` `add-log-exp_binary64_13757` `cbrt-unprod_binary64_13751` `unswap-sqr_binary64_13686` `distribute-rgt-in_binary64_13668` `distribute-lft-in_binary64_13667` `flip3-+_binary64_13721` `flip-+_binary64_13692` `*-commutative_binary64_13649`

Counts

1 → 22

Calls

1 calls:

6.0ms

(*.f64 x (+.f64 1 (*.f64 y y)))

Compiler

Compiled 318 to 166 computations (47.8% saved)

series84.0ms (2.2%)

Error

5.5b

Counts

1 → 9

Calls

1 calls:

78.0ms

(*.f64 x (+.f64 1 (*.f64 y y)))

Compiler

Compiled 148 to 125 computations (15.5% saved)

simplify74.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4921	343
1	4921	343

prune31.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	26	5	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	6	32

Error

5.4b

Counts

32 → 6

Compiler

Compiled 402 to 217 computations (46% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (sqrt.f64 (+.f64 1 (.f64 y y))))
0.1b	(.f64 (.f64 x (sqrt.f64 (+.f64 1 (.f64 y y)))) (sqrt.f64 (+.f64 1 (.f64 y y))))
5.2b	(sqrt.f64 (+.f64 1 (*.f64 y y)))
5.2b	(sqrt.f64 (+.f64 1 (*.f64 y y)))

rewrite123.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

18×	`sqrt-div_binary64_13735`
17×	`add-sqr-sqrt_binary64_13740`
13×	`pow1_binary64_13779` `sqrt-prod_binary64_13734`
12×	`associate-r_binary64_13658`
11×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754` `add-cube-cbrt_binary64_13753` `*-un-lft-identity_binary64_13718`
10×	`associate-*r/_binary64_13660`
9×	`flip3-+_binary64_13721` `flip-+_binary64_13692`
4×	`add-log-exp_binary64_13757` `pow-prod-down_binary64_13789` `prod-exp_binary64_13767` `cbrt-unprod_binary64_13751` `frac-times_binary64_13728` `associate-l_binary64_13659`
2×	`pow1/2_binary64_13798` `sqrt-pow1_binary64_13736` `rem-sqrt-square_binary64_13731` `associate-l/_binary64_13661` `-commutative_binary64_13649` `unswap-sqr_binary64_13686`

Counts

4 → 83

Calls

4 calls:

11.0ms	(.f64 (.f64 x (sqrt.f64 (+.f64 1 (.f64 y y)))) (sqrt.f64 (+.f64 1 (.f64 y y))))
7.0ms	(.f64 x (sqrt.f64 (+.f64 1 (.f64 y y))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 y y)))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 y y)))

Compiler

Compiled 2138 to 1212 computations (43.3% saved)

series332.0ms (8.5%)

Error

5.4b

Counts

4 → 45

Calls

4 calls:

116.0ms	(.f64 x (sqrt.f64 (+.f64 1 (.f64 y y))))
84.0ms	(.f64 (.f64 x (sqrt.f64 (+.f64 1 (.f64 y y)))) (sqrt.f64 (+.f64 1 (.f64 y y))))
46.0ms	(sqrt.f64 (+.f64 1 (*.f64 y y)))
46.0ms	(sqrt.f64 (+.f64 1 (*.f64 y y)))

Compiler

Compiled 1653 to 1248 computations (24.5% saved)

simplify95.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4998	1823
1	4998	1823

prune120.0ms (3.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	128	6	134

Error

5.4b

Counts

134 → 6

Compiler

Compiled 2386 to 1411 computations (40.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.8b	(.f64 x (.f64 (cbrt.f64 (+.f64 1 (.f64 y y))) (cbrt.f64 (+.f64 1 (.f64 y y)))))
5.4b	(cbrt.f64 (+.f64 1 (*.f64 y y)))
5.4b	(cbrt.f64 (+.f64 1 (*.f64 y y)))
5.4b	(cbrt.f64 (+.f64 1 (*.f64 y y)))

rewrite115.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

18×	`cbrt-div_binary64_13750`
10×	`associate-*r/_binary64_13660`
9×	`pow1_binary64_13779` `add-exp-log_binary64_13756` `flip3-+_binary64_13721` `flip-+_binary64_13692` `cbrt-prod_binary64_13749` `add-sqr-sqrt_binary64_13740`
8×	`add-cube-cbrt_binary64_13753` `*-un-lft-identity_binary64_13718`
7×	`add-cbrt-cube_binary64_13754`
4×	`add-log-exp_binary64_13757` `frac-times_binary64_13728`
3×	`pow1/3_binary64_13800` `pow-prod-down_binary64_13789` `prod-exp_binary64_13767` `cbrt-unprod_binary64_13751` `associate-l_binary64_13659`
2×	`associate-*l/_binary64_13661`
1×	`unswap-sqr_binary64_13686` `associate-r_binary64_13658` `*-commutative_binary64_13649`

Counts

4 → 66

Calls

4 calls:

11.0ms	(.f64 x (.f64 (cbrt.f64 (+.f64 1 (.f64 y y))) (cbrt.f64 (+.f64 1 (.f64 y y)))))
2.0ms	(cbrt.f64 (+.f64 1 (*.f64 y y)))
2.0ms	(cbrt.f64 (+.f64 1 (*.f64 y y)))
2.0ms	(cbrt.f64 (+.f64 1 (*.f64 y y)))

Compiler

Compiled 2168 to 1224 computations (43.5% saved)

series688.0ms (17.5%)

Error

5.4b

Counts

4 → 51

Calls

4 calls:

291.0ms	(.f64 x (.f64 (cbrt.f64 (+.f64 1 (.f64 y y))) (cbrt.f64 (+.f64 1 (.f64 y y)))))
109.0ms	(cbrt.f64 (+.f64 1 (*.f64 y y)))
109.0ms	(cbrt.f64 (+.f64 1 (*.f64 y y)))
105.0ms	(cbrt.f64 (+.f64 1 (*.f64 y y)))

Compiler

Compiled 3186 to 2462 computations (22.7% saved)

simplify101.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4863	2241
1	4863	2241

prune158.0ms (4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	117	6	123

Error

5.4b

Counts

123 → 6

Compiler

Compiled 3335 to 2049 computations (38.6% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 1 (*.f64 y y))
1.9b	(*.f64 x (-.f64 1 (pow.f64 y 4)))
9.4b	(/.f64 (.f64 x (-.f64 1 (pow.f64 y 4))) (-.f64 1 (.f64 y y)))

rewrite126.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

23×	`add-sqr-sqrt_binary64_13740`
19×	`*-un-lft-identity_binary64_13718`
15×	`cancel-sign-sub-inv_binary64_13684`
12×	`difference-of-squares_binary64_13687`
11×	`add-cube-cbrt_binary64_13753`
10×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754` `associate-r_binary64_13658`
8×	`distribute-rgt-in_binary64_13668` `unpow-prod-down_binary64_13797` `distribute-lft-in_binary64_13667`
5×	`pow1_binary64_13779` `add-log-exp_binary64_13757` `times-frac_binary64_13724` `associate-/r*_binary64_13662`
4×	`flip3--_binary64_13722` `associate-*r/_binary64_13660` `flip--_binary64_13693` `sqr-pow_binary64_13690`
3×	`sub-neg_binary64_13711` `associate-l_binary64_13659`
2×	`prod-exp_binary64_13767` `div-exp_binary64_13769` `cbrt-undiv_binary64_13752` `cbrt-unprod_binary64_13751` `associate-/l/_binary64_13665` `associate-/r/_binary64_13664`
1×	`frac-2neg_binary64_13729` `clear-num_binary64_13717` `div-inv_binary64_13715` `associate-/l_binary64_13663` `pow-prod-down_binary64_13789` `unswap-sqr_binary64_13686` `distribute-lft-out--_binary64_13670` `-commutative_binary64_13649` `diff-log_binary64_13810`

Counts

3 → 86

Calls

3 calls:

12.0ms	(/.f64 (.f64 x (-.f64 1 (pow.f64 y 4))) (-.f64 1 (.f64 y y)))
10.0ms	(*.f64 x (-.f64 1 (pow.f64 y 4)))
3.0ms	(-.f64 1 (*.f64 y y))

Compiler

Compiled 1852 to 1232 computations (33.5% saved)

series367.0ms (9.4%)

Error

5.4b

Counts

3 → 24

Calls

3 calls:

199.0ms	(/.f64 (.f64 x (-.f64 1 (pow.f64 y 4))) (-.f64 1 (.f64 y y)))
117.0ms	(*.f64 x (-.f64 1 (pow.f64 y 4)))
36.0ms	(-.f64 1 (*.f64 y y))

Compiler

Compiled 689 to 551 computations (20% saved)

simplify63.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5040	1448

prune93.0ms (2.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	110	6	116

Error

5.4b

Counts

116 → 6

Compiler

Compiled 1783 to 1121 computations (37.1% saved)

regimes266.0ms (6.8%)

Accuracy

Total 0.2b remaining (3.7%)

Threshold costs 0.2b (3.7%)

Compiler

Compiled 2727 to 1961 computations (28.1% 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%)

sample823.0ms (21%)

Algorithm

1×

intervals

Results

172.0ms	8000×	body	128	valid
9.0ms	168×	body	128	invalid

Compiler

Compiled 434 to 316 computations (27.2% saved)

Details

analyze172.0ms (4.4%)

sample19.0ms (0.5%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite29.0ms (0.7%)

series84.0ms (2.2%)

simplify74.0ms (1.9%)

prune31.0ms (0.8%)

localize7.0ms (0.2%)

rewrite123.0ms (3.1%)

series332.0ms (8.5%)

simplify95.0ms (2.4%)

prune120.0ms (3.1%)

localize8.0ms (0.2%)

rewrite115.0ms (2.9%)

series688.0ms (17.5%)

simplify101.0ms (2.6%)

prune158.0ms (4%)

localize10.0ms (0.3%)

rewrite126.0ms (3.2%)

series367.0ms (9.4%)

simplify63.0ms (1.6%)

prune93.0ms (2.4%)

regimes266.0ms (6.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample823.0ms (21%)

Profiling