Details

analyze248.0ms (8.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	14
1	156	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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample18.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify25.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	156	7
1	156	7

prune3.0ms (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 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 500 (-.f64 x y))

rewrite31.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-sqr-sqrt_binary64_7602`
7×	`*-un-lft-identity_binary64_7580`
6×	`cancel-sign-sub-inv_binary64_7546`
5×	`add-cube-cbrt_binary64_7615` `associate-r_binary64_7520`
4×	`distribute-rgt-in_binary64_7530` `distribute-lft-in_binary64_7529`
3×	`pow1_binary64_7641` `add-exp-log_binary64_7618` `add-cbrt-cube_binary64_7616` `associate-l_binary64_7521`
2×	`sub-neg_binary64_7573` `associate-*r/_binary64_7522`
1×	`pow-prod-down_binary64_7651` `prod-exp_binary64_7629` `add-log-exp_binary64_7619` `cbrt-unprod_binary64_7613` `unswap-sqr_binary64_7548` `flip3--_binary64_7584` `flip--_binary64_7555` `difference-of-squares_binary64_7549` `distribute-lft-out--_binary64_7532` `*-commutative_binary64_7511`

Counts

1 → 30

Calls

1 calls:

7.0ms

(*.f64 500 (-.f64 x y))

Compiler

Compiled 338 to 187 computations (44.7% saved)

series103.0ms (3.4%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

96.0ms

(*.f64 500 (-.f64 x y))

Compiler

Compiled 162 to 152 computations (6.2% saved)

simplify53.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4959	343
1	4959	343

prune36.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	3	43

Error

Counts

43 → 3

Compiler

Compiled 359 to 209 computations (41.8% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_7619`
1×	`sum-log_binary64_7671` `pow1_binary64_7641` `add-exp-log_binary64_7618` `add-cbrt-cube_binary64_7616` `add-cube-cbrt_binary64_7615` `add-sqr-sqrt_binary64_7602` `flip3-+_binary64_7583` `*-un-lft-identity_binary64_7580` `flip-+_binary64_7554` `+-commutative_binary64_7510`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 500 x) (*.f64 -500 y))

Compiler

Compiled 178 to 138 computations (22.5% saved)

series106.0ms (3.5%)

Error

Counts

1 → 12

Calls

1 calls:

99.0ms

(+.f64 (*.f64 500 x) (*.f64 -500 y))

Compiler

Compiled 162 to 152 computations (6.2% saved)

simplify90.0ms (3%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4998	204
1	4998	204

prune14.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	23	3	26

Error

Counts

26 → 3

Compiler

Compiled 199 to 123 computations (38.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b	(*.f64 (-.f64 x y) (sqrt.f64 500))
0.3b	(.f64 (sqrt.f64 500) (.f64 (-.f64 x y) (sqrt.f64 500)))

rewrite76.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64_7602`
11×	`associate-l_binary64_7521`
9×	`pow1_binary64_7641` `add-exp-log_binary64_7618` `add-cbrt-cube_binary64_7616` `*-un-lft-identity_binary64_7580`
7×	`add-cube-cbrt_binary64_7615` `sqrt-prod_binary64_7596` `associate-r_binary64_7520`
4×	`pow-prod-down_binary64_7651` `prod-exp_binary64_7629` `cbrt-unprod_binary64_7613` `associate-*l/_binary64_7523`
2×	`add-log-exp_binary64_7619` `flip3--_binary64_7584` `associate-r/_binary64_7522` `flip--_binary64_7555` `-commutative_binary64_7511` `unswap-sqr_binary64_7548`
1×	`difference-of-squares_binary64_7549` `distribute-lft-out--_binary64_7532`

Counts

2 → 49

Calls

2 calls:

16.0ms	(.f64 (sqrt.f64 500) (.f64 (-.f64 x y) (sqrt.f64 500)))
8.0ms	(*.f64 (-.f64 x y) (sqrt.f64 500))

Compiler

Compiled 790 to 543 computations (31.3% saved)

series315.0ms (10.5%)

Error

Counts

2 → 24

Calls

2 calls:

187.0ms	(.f64 (sqrt.f64 500) (.f64 (-.f64 x y) (sqrt.f64 500)))
112.0ms	(*.f64 (-.f64 x y) (sqrt.f64 500))

Compiler

Compiled 630 to 608 computations (3.5% saved)

simplify70.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5416	711

prune53.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	73	3	76

Error

Counts

76 → 3

Compiler

Compiled 787 to 517 computations (34.3% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
0.5b	(cbrt.f64 (-.f64 x y))
0.5b	(cbrt.f64 (-.f64 x y))
0.5b	(cbrt.f64 (-.f64 x y))

rewrite110.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`cbrt-prod_binary64_7611`
37×	`add-sqr-sqrt_binary64_7602`
35×	`*-un-lft-identity_binary64_7580`
18×	`cbrt-div_binary64_7612`
15×	`add-cube-cbrt_binary64_7615`
11×	`pow1_binary64_7641`
10×	`swap-sqr_binary64_7547`
9×	`pow1/3_binary64_7662` `flip3--_binary64_7584` `flip--_binary64_7555` `distribute-lft-out--_binary64_7532`
8×	`associate-l_binary64_7521` `associate-r_binary64_7520`
7×	`difference-of-squares_binary64_7549`
6×	`add-exp-log_binary64_7618`
4×	`add-log-exp_binary64_7619` `add-cbrt-cube_binary64_7616` `frac-times_binary64_7590` `unswap-sqr_binary64_7548`
2×	`pow-prod-down_binary64_7651` `pow-prod-up_binary64_7650` `pow-sqr_binary64_7553` `associate-l/_binary64_7523` `associate-r/_binary64_7522`
1×	`pow2_binary64_7661` `pow-plus_binary64_7643` `prod-exp_binary64_7629` `cbrt-unprod_binary64_7613` `*-commutative_binary64_7511`

Counts

4 → 101

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 2422 to 608 computations (74.9% saved)

series523.0ms (17.4%)

Error

Counts

4 → 39

Calls

4 calls:

220.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
95.0ms	(cbrt.f64 (-.f64 x y))
91.0ms	(cbrt.f64 (-.f64 x y))
78.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 2529 to 1851 computations (26.8% saved)

simplify97.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4932	1960
1	4932	1960

prune126.0ms (4.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	140	3	143

Error

Counts

143 → 3

Compiler

Compiled 2889 to 946 computations (67.3% saved)

regimes149.0ms (4.9%)

Accuracy

Total 0.0b remaining (85.5%)

Threshold costs 0.0b (85.5%)

Compiler

Compiled 721 to 619 computations (14.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample719.0ms (23.9%)

Algorithm

1×

intervals

Results

187.0ms	7975×	body	128	valid
2.0ms	75×	body	128	invalid
1.0ms	8×	body	1024	valid
0.0ms	6×	body	2048	valid
0.0ms	8×	body	512	valid
0.0ms	3×	body	256	valid

Compiler

Compiled 148 to 131 computations (11.5% saved)

Details

analyze248.0ms (8.3%)

sample18.0ms (0.6%)

simplify25.0ms (0.8%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite31.0ms (1%)

series103.0ms (3.4%)

simplify53.0ms (1.8%)

prune36.0ms (1.2%)

localize5.0ms (0.2%)

rewrite14.0ms (0.5%)

series106.0ms (3.5%)

simplify90.0ms (3%)

prune14.0ms (0.5%)

localize7.0ms (0.2%)

rewrite76.0ms (2.5%)

series315.0ms (10.5%)

simplify70.0ms (2.3%)

prune53.0ms (1.8%)

localize7.0ms (0.2%)

rewrite110.0ms (3.7%)

series523.0ms (17.4%)

simplify97.0ms (3.2%)

prune126.0ms (4.2%)

regimes149.0ms (4.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample719.0ms (23.9%)

Profiling