Details

analyze222.0ms (5.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1126	20
1	1126	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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify49.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	690	10
1	690	10

prune2.0ms (0%)

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 14 to 12 computations (14.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

rewrite59.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
30×	`times-frac_binary64_3153`
19×	`difference-of-squares_binary64_3116`
14×	`add-cube-cbrt_binary64_3182`
13×	`distribute-lft-out--_binary64_3099`
6×	`associate-/r*_binary64_3091`
5×	`associate-/l*_binary64_3092`
3×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
2×	`flip3--_binary64_3151` `associate-/l/_binary64_3094` `flip--_binary64_3122` `associate-/r/_binary64_3093`
1×	`pow1_binary64_3208` `div-exp_binary64_3198` `add-log-exp_binary64_3186` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `div-sub_binary64_3152` `clear-num_binary64_3146` `div-inv_binary64_3144`

Counts

1 → 58

Calls

1 calls:

8.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 951 to 476 computations (49.9% saved)

series120.0ms (2.9%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

106.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 493 to 365 computations (26% saved)

simplify69.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5668	1413

prune57.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	3	77

Error

Counts

77 → 3

Compiler

Compiled 1114 to 547 computations (50.9% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 y) (-.f64 x y))
0.1b	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))

rewrite296.0ms (7.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

258×	`times-frac_binary64_3153`
240×	`add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
100×	`add-cube-cbrt_binary64_3182`
83×	`difference-of-squares_binary64_3116`
57×	`distribute-lft-out--_binary64_3099`
41×	`associate-/r*_binary64_3091`
15×	`add-exp-log_binary64_3185`
11×	`associate-/r/_binary64_3093`
9×	`add-cbrt-cube_binary64_3183` `associate-/l*_binary64_3092`
8×	`div-exp_binary64_3198`
6×	`div-inv_binary64_3144` `flip3--_binary64_3151` `flip--_binary64_3122`
4×	`cbrt-undiv_binary64_3181`
3×	`pow1_binary64_3208`
2×	`1-exp_binary64_3191` `rec-exp_binary64_3197` `add-log-exp_binary64_3186` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `associate-/l/_binary64_3094`
1×	`inv-pow_binary64_3232` `pow-flip_binary64_3221` `div-sub_binary64_3152`

Counts

2 → 226

Calls

2 calls:

14.0ms	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))
9.0ms	(/.f64 (-.f64 1 y) (-.f64 x y))

Compiler

Compiled 4812 to 2797 computations (41.9% saved)

series266.0ms (6.4%)

Error

Counts

2 → 42

Calls

2 calls:

115.0ms	(/.f64 (-.f64 1 y) (-.f64 x y))
110.0ms	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))

Compiler

Compiled 1721 to 1286 computations (25.3% saved)

simplify106.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

268 → 268

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5011	6113

prune237.0ms (5.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	268	0	268
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	268	3	271

Error

Counts

271 → 3

Compiler

Compiled 4855 to 2514 computations (48.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
0.0b	(sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y)))
0.0b	(sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y)))
0.2b	(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))) (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite608.0ms (14.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

405×	`*-un-lft-identity_binary64_3147`
355×	`add-sqr-sqrt_binary64_3169`
282×	`sqrt-prod_binary64_3163`
272×	`times-frac_binary64_3153`
127×	`difference-of-squares_binary64_3116`
117×	`distribute-lft-out--_binary64_3099`
101×	`add-cube-cbrt_binary64_3182`
67×	`swap-sqr_binary64_3114`
39×	`associate-l_binary64_3088` `associate-r_binary64_3087`
21×	`pow1_binary64_3208`
14×	`associate-/r/_binary64_3093`
10×	`pow1/2_binary64_3227` `sqrt-pow1_binary64_3165`
9×	`unswap-sqr_binary64_3115`
8×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `rem-sqrt-square_binary64_3160` `flip3--_binary64_3151` `flip--_binary64_3122`
7×	`div-inv_binary64_3144`
6×	`sqrt-div_binary64_3164` `associate-/r*_binary64_3091`
5×	`pow-prod-up_binary64_3217` `associate-/l*_binary64_3092`
4×	`add-log-exp_binary64_3186`
3×	`pow-prod-down_binary64_3218` `pow-sqr_binary64_3120`
2×	`sqr-abs_binary64_3162` `associate-/l/_binary64_3094`
1×	`pow2_binary64_3228` `pow-plus_binary64_3210` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `sqrt-unprod_binary64_3167` `rem-square-sqrt_binary64_3159` `frac-times_binary64_3157` `associate-l/_binary64_3090` `associate-r/_binary64_3089` `*-commutative_binary64_3078` `div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `div-sub_binary64_3152` `clear-num_binary64_3146`

Counts

4 → 338

Calls

4 calls:

47.0ms	(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))) (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))))
13.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
9.0ms	(sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y)))
9.0ms	(sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y)))

Compiler

Compiled 9990 to 5526 computations (44.7% saved)

series582.0ms (14%)

Error

Counts

4 → 71

Calls

4 calls:

139.0ms	(sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y)))
139.0ms	(sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y)))
110.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
98.0ms	(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))) (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))))

Compiler

Compiled 4526 to 3377 computations (25.4% saved)

simplify144.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

409 → 409

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4992	9506
1	4992	9506

prune493.0ms (11.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	409	0	409
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	409	3	412

Error

Counts

412 → 3

Compiler

Compiled 9596 to 5150 computations (46.3% saved)

regimes64.0ms (1.5%)

Accuracy

Total 0.0b remaining (66.7%)

Threshold costs 0.0b (66.7%)

Compiler

Compiled 414 to 320 computations (22.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample748.0ms (18%)

Algorithm

1×

intervals

Results

370.0ms	7998×	body	128	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 147 to 115 computations (21.8% saved)

Details

analyze222.0ms (5.3%)

sample14.0ms (0.3%)

simplify49.0ms (1.2%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite59.0ms (1.4%)

series120.0ms (2.9%)

simplify69.0ms (1.7%)

prune57.0ms (1.4%)

localize8.0ms (0.2%)

rewrite296.0ms (7.1%)

series266.0ms (6.4%)

simplify106.0ms (2.5%)

prune237.0ms (5.7%)

localize9.0ms (0.2%)

rewrite608.0ms (14.6%)

series582.0ms (14%)

simplify144.0ms (3.5%)

prune493.0ms (11.9%)

regimes64.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample748.0ms (18%)

Profiling