Details

analyze170.0ms (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)

sample14.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	1×	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

4.8b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

4.5b	(.f64 x (+.f64 1 (.f64 y y)))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

4.8b

Rules

5×	`add-sqr-sqrt_binary64_14763`
3×	`pow1_binary64_14802` `add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777` `add-cube-cbrt_binary64_14776` `-un-lft-identity_binary64_14741` `associate-l_binary64_14682` `associate-r*_binary64_14681`
2×	`associate-*r/_binary64_14683`
1×	`pow-prod-down_binary64_14812` `prod-exp_binary64_14790` `add-log-exp_binary64_14780` `cbrt-unprod_binary64_14774` `unswap-sqr_binary64_14709` `distribute-rgt-in_binary64_14691` `distribute-lft-in_binary64_14690` `flip3-+_binary64_14744` `flip-+_binary64_14715` `*-commutative_binary64_14672`

Counts

1 → 22

Calls

1 calls:

6.0ms

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

Compiler

Compiled 318 to 166 computations (47.8% saved)

series90.0ms (2.3%)

Error

4.7b

Counts

1 → 9

Calls

1 calls:

84.0ms

(*.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

prune30.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	27	4	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	5	32

Error

4.7b

Counts

32 → 5

Compiler

Compiled 374 to 198 computations (47.1% 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))))
4.5b	(sqrt.f64 (+.f64 1 (*.f64 y y)))
4.5b	(sqrt.f64 (+.f64 1 (*.f64 y y)))

rewrite130.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

4.7b

Rules

18×	`sqrt-div_binary64_14758`
17×	`add-sqr-sqrt_binary64_14763`
13×	`pow1_binary64_14802` `sqrt-prod_binary64_14757`
12×	`associate-r_binary64_14681`
11×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777` `add-cube-cbrt_binary64_14776` `*-un-lft-identity_binary64_14741`
10×	`associate-*r/_binary64_14683`
9×	`flip3-+_binary64_14744` `flip-+_binary64_14715`
4×	`add-log-exp_binary64_14780` `pow-prod-down_binary64_14812` `prod-exp_binary64_14790` `cbrt-unprod_binary64_14774` `frac-times_binary64_14751` `associate-l_binary64_14682`
2×	`pow1/2_binary64_14821` `sqrt-pow1_binary64_14759` `rem-sqrt-square_binary64_14754` `associate-l/_binary64_14684` `-commutative_binary64_14672` `unswap-sqr_binary64_14709`

Counts

4 → 83

Calls

4 calls:

12.0ms	(.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)

series327.0ms (8.4%)

Error

4.7b

Counts

4 → 45

Calls

4 calls:

113.0ms	(.f64 x (sqrt.f64 (+.f64 1 (.f64 y y))))
85.0ms	(.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)))
45.0ms	(sqrt.f64 (+.f64 1 (*.f64 y y)))

Compiler

Compiled 1653 to 1248 computations (24.5% saved)

simplify92.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5230	1823

prune122.0ms (3.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	127	6	133

Error

4.7b

Counts

133 → 6

Compiler

Compiled 2382 to 1409 computations (40.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 x (sqrt.f64 (+.f64 1 (.f64 y y)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (.f64 y y)))))
4.5b	(sqrt.f64 (+.f64 1 (*.f64 y y)))
4.5b	(sqrt.f64 (+.f64 1 (*.f64 y y)))
4.5b	(sqrt.f64 (+.f64 1 (*.f64 y y)))

rewrite146.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

4.7b

Rules

24×	`sqrt-div_binary64_14758`
18×	`sqrt-prod_binary64_14757`
13×	`add-sqr-sqrt_binary64_14763`
12×	`pow1_binary64_14802`
10×	`add-cube-cbrt_binary64_14776` `*-un-lft-identity_binary64_14741`
9×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777` `flip3-+_binary64_14744` `flip-+_binary64_14715` `associate-r_binary64_14681`
8×	`associate-*r/_binary64_14683`
4×	`add-log-exp_binary64_14780` `frac-times_binary64_14751`
3×	`pow1/2_binary64_14821` `sqrt-pow1_binary64_14759` `rem-sqrt-square_binary64_14754` `pow-prod-down_binary64_14812` `prod-exp_binary64_14790` `cbrt-unprod_binary64_14774`
2×	`associate-*l/_binary64_14684`
1×	`associate-l_binary64_14682` `*-commutative_binary64_14672`

Counts

4 → 77

Calls

4 calls:

13.0ms	(.f64 (.f64 x (sqrt.f64 (+.f64 1 (.f64 y y)))) (sqrt.f64 (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)))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 y y)))

Compiler

Compiled 2697 to 1616 computations (40.1% saved)

series524.0ms (13.4%)

Error

4.7b

Counts

4 → 46

Calls

4 calls:

325.0ms	(.f64 (.f64 x (sqrt.f64 (+.f64 1 (.f64 y y)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (.f64 y y)))))
52.0ms	(sqrt.f64 (+.f64 1 (*.f64 y y)))
46.0ms	(sqrt.f64 (+.f64 1 (*.f64 y y)))
43.0ms	(sqrt.f64 (+.f64 1 (*.f64 y y)))

Compiler

Compiled 2739 to 2062 computations (24.7% saved)

simplify73.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4905	2053
1	4905	2053

prune173.0ms (4.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	123	6	129

Error

4.7b

Counts

129 → 6

Compiler

Compiled 3482 to 2209 computations (36.6% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

2.4b	(*.f64 x (-.f64 1 (pow.f64 y 4)))
9.6b	(/.f64 (.f64 x (-.f64 1 (pow.f64 y 4))) (-.f64 1 (.f64 y y)))

rewrite107.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

4.7b

Rules

21×	`add-sqr-sqrt_binary64_14763`
17×	`*-un-lft-identity_binary64_14741`
14×	`cancel-sign-sub-inv_binary64_14707`
10×	`add-cube-cbrt_binary64_14776` `difference-of-squares_binary64_14710` `associate-r_binary64_14681`
9×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
8×	`distribute-rgt-in_binary64_14691` `unpow-prod-down_binary64_14820` `distribute-lft-in_binary64_14690`
5×	`times-frac_binary64_14747` `associate-/r*_binary64_14685`
4×	`pow1_binary64_14802` `associate-*r/_binary64_14683` `sqr-pow_binary64_14713`
3×	`flip3--_binary64_14745` `flip--_binary64_14716` `associate-l_binary64_14682`
2×	`prod-exp_binary64_14790` `div-exp_binary64_14792` `add-log-exp_binary64_14780` `cbrt-undiv_binary64_14775` `cbrt-unprod_binary64_14774` `associate-/l/_binary64_14688` `associate-/r/_binary64_14687` `sub-neg_binary64_14734`
1×	`frac-2neg_binary64_14752` `clear-num_binary64_14740` `div-inv_binary64_14738` `associate-/l_binary64_14686` `pow-prod-down_binary64_14812` `unswap-sqr_binary64_14709` `distribute-lft-out--_binary64_14693` `-commutative_binary64_14672`

Counts

2 → 72

Calls

2 calls:

14.0ms	(/.f64 (.f64 x (-.f64 1 (pow.f64 y 4))) (-.f64 1 (.f64 y y)))
11.0ms	(*.f64 x (-.f64 1 (pow.f64 y 4)))

Compiler

Compiled 1581 to 1060 computations (33% saved)

series327.0ms (8.4%)

Error

4.7b

Counts

2 → 18

Calls

2 calls:

191.0ms	(/.f64 (.f64 x (-.f64 1 (pow.f64 y 4))) (-.f64 1 (.f64 y y)))
125.0ms	(*.f64 x (-.f64 1 (pow.f64 y 4)))

Compiler

Compiled 502 to 389 computations (22.5% saved)

simplify65.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	6177	1258

prune265.0ms (6.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	90	6	96

Error

4.7b

Counts

96 → 6

Compiler

Compiled 1465 to 914 computations (37.6% saved)

regimes252.0ms (6.5%)

Accuracy

Total 0.2b remaining (3.6%)

Threshold costs 0.2b (3.6%)

Compiler

Compiled 2613 to 1900 computations (27.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	10
1	12	10

end0.0ms (0%)

sample843.0ms (21.6%)

Algorithm

1×

intervals

Results

182.0ms	8000×	body	128	valid
9.0ms	185×	body	128	invalid

Compiler

Compiled 462 to 338 computations (26.8% saved)

Details

analyze170.0ms (4.4%)

sample14.0ms (0.4%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

rewrite29.0ms (0.7%)

series90.0ms (2.3%)

simplify74.0ms (1.9%)

prune30.0ms (0.8%)

localize7.0ms (0.2%)

rewrite130.0ms (3.3%)

series327.0ms (8.4%)

simplify92.0ms (2.4%)

prune122.0ms (3.1%)

localize9.0ms (0.2%)

rewrite146.0ms (3.7%)

series524.0ms (13.4%)

simplify73.0ms (1.9%)

prune173.0ms (4.4%)

localize9.0ms (0.2%)

rewrite107.0ms (2.8%)

series327.0ms (8.4%)

simplify65.0ms (1.7%)

prune265.0ms (6.8%)

regimes252.0ms (6.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample843.0ms (21.6%)

Profiling