Details

analyze686.0ms (3.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2142	26
1	2142	26
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
56.2%	43.7%	0.1%	5
65.6%	34.3%	0.1%	6
79.6%	20.3%	0.1%	7
83.5%	16.4%	0.1%	8
90.1%	9.8%	0.1%	9
91.9%	8%	0.1%	10
95.1%	4.8%	0.1%	11
96%	4%	0.1%	12
97.5%	2.4%	0.1%	13
97.9%	2%	0.1%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample23.0ms (0.1%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify422.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (412.0ms)

Iter	Nodes	Cost
0	2142	13
1	2142	13

prune4.0ms (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 18 to 14 computations (22.2% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

rewrite30.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64_22243`
40×	`add-sqr-sqrt_binary64_22265`
30×	`times-frac_binary64_22249`
19×	`distribute-lft-out--_binary64_22195`
14×	`add-cube-cbrt_binary64_22278`
13×	`difference-of-squares_binary64_22212`
6×	`distribute-lft-out_binary64_22194` `associate-/r*_binary64_22187`
5×	`associate-/l*_binary64_22188`
3×	`add-exp-log_binary64_22281` `add-cbrt-cube_binary64_22279`
2×	`associate-/l/_binary64_22190` `flip--_binary64_22218` `flip3--_binary64_22247` `associate-/r/_binary64_22189`
1×	`div-inv_binary64_22240` `add-log-exp_binary64_22282` `div-sub_binary64_22248` `pow1_binary64_22304` `cbrt-undiv_binary64_22277` `clear-num_binary64_22242` `frac-2neg_binary64_22254` `div-exp_binary64_22294`

Counts

1 → 58

Calls

1 calls:

20.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

series290.0ms (1.6%)

Counts

1 → 23

Calls

1 calls:

290.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

Compiler

Compiled 782 to 650 computations (16.9% saved)

simplify124.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4954	2179
1	4954	2179

prune146.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	4	82

Error

Counts

82 → 4

Compiler

Compiled 1678 to 806 computations (52% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
0.2b	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
0.2b	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
0.2b	(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))

rewrite297.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

651×	`*-un-lft-identity_binary64_22243`
372×	`cbrt-prod_binary64_22274`
324×	`times-frac_binary64_22249`
318×	`add-sqr-sqrt_binary64_22265`
212×	`distribute-lft-out--_binary64_22195`
108×	`add-cube-cbrt_binary64_22278`
93×	`difference-of-squares_binary64_22212` `swap-sqr_binary64_22210`
67×	`distribute-lft-out_binary64_22194`
39×	`associate-r_binary64_22183` `associate-l_binary64_22184`
14×	`associate-/r/_binary64_22189`
11×	`pow1_binary64_22304`
9×	`pow1/3_binary64_22325` `unswap-sqr_binary64_22211`
7×	`div-inv_binary64_22240` `flip--_binary64_22218` `flip3--_binary64_22247` `cbrt-div_binary64_22275`
6×	`add-exp-log_binary64_22281`
4×	`add-log-exp_binary64_22282` `add-cbrt-cube_binary64_22279`
2×	`pow-sqr_binary64_22216` `pow-prod-up_binary64_22313` `pow-prod-down_binary64_22314`
1×	`pow-plus_binary64_22306` `frac-times_binary64_22253` `associate-r/_binary64_22185` `associate-l/_binary64_22186` `cbrt-unprod_binary64_22276` `pow2_binary64_22324` `*-commutative_binary64_22174` `prod-exp_binary64_22292`

Counts

4 → 336

Calls

4 calls:

107.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
26.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
19.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
19.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))

series9.4s (53.6%)

Counts

4 → 73

Calls

4 calls:

7.2s	(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
748.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
721.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
714.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))

Compiler

Compiled 9170 to 7325 computations (20.1% saved)

simplify327.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

409 → 409

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5637	18120

prune1.9s (10.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	409	0	409
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	409	4	413

Error

Counts

413 → 4

Compiler

Compiled 19672 to 9572 computations (51.3% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
0.1b	(pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3)
7.2b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3))

rewrite117.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

258×	`*-un-lft-identity_binary64_22243`
180×	`add-sqr-sqrt_binary64_22265`
150×	`times-frac_binary64_22249`
83×	`distribute-lft-out--_binary64_22195`
78×	`cbrt-prod_binary64_22274`
72×	`unpow-prod-down_binary64_22322` `cube-prod_binary64_22271`
66×	`add-cube-cbrt_binary64_22278`
57×	`difference-of-squares_binary64_22212`
26×	`distribute-lft-out_binary64_22194`
10×	`associate-/r/_binary64_22189`
8×	`add-exp-log_binary64_22281` `add-cbrt-cube_binary64_22279`
6×	`flip--_binary64_22218` `flip3--_binary64_22247` `associate-/r*_binary64_22187`
5×	`div-inv_binary64_22240` `associate-/l*_binary64_22188`
4×	`pow1_binary64_22304`
3×	`add-log-exp_binary64_22282` `pow-unpow_binary64_22320`
2×	`cube-mult_binary64_22273` `sqr-pow_binary64_22215` `associate-/l/_binary64_22190` `cbrt-undiv_binary64_22277` `pow-exp_binary64_22311` `unpow3_binary64_22309` `rem-cube-cbrt_binary64_22266` `cube-div_binary64_22272` `div-exp_binary64_22294`
1×	`pow-to-exp_binary64_22312` `pow1/3_binary64_22325` `rem-cbrt-cube_binary64_22267` `div-sub_binary64_22248` `clear-num_binary64_22242` `frac-2neg_binary64_22254` `pow-pow_binary64_22315` `cbrt-div_binary64_22275`

Counts

3 → 238

Calls

3 calls:

27.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3))
24.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3)
18.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

series1.2s (6.6%)

Counts

3 → 71

Calls

3 calls:

578.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3)
314.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3))
276.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

Compiler

Compiled 2811 to 2367 computations (15.8% saved)

simplify232.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

309 → 309

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5020	9856

prune629.0ms (3.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	309	0	309
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	309	4	313

Error

Counts

313 → 4

Compiler

Compiled 7452 to 3887 computations (47.8% saved)

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 2 (/.f64 y x))
0.0b	(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x)))

rewrite39.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_22265`
13×	`-un-lft-identity_binary64_22243` `associate-r*_binary64_22183`
11×	`add-cube-cbrt_binary64_22278`
10×	`times-frac_binary64_22249`
7×	`add-exp-log_binary64_22281` `add-log-exp_binary64_22282` `add-cbrt-cube_binary64_22279`
4×	`pow1_binary64_22304` `cancel-sign-sub-inv_binary64_22209`
3×	`associate-r/_binary64_22185` `associate-l*_binary64_22184`
2×	`frac-sub_binary64_22252` `cbrt-unprod_binary64_22276` `diff-log_binary64_22335` `prod-exp_binary64_22292` `unswap-sqr_binary64_22211`
1×	`distribute-lft-out_binary64_22194` `div-inv_binary64_22240` `flip--_binary64_22218` `cbrt-undiv_binary64_22277` `flip3-+_binary64_22246` `flip3--_binary64_22247` `*-commutative_binary64_22174` `flip-+_binary64_22217` `sub-neg_binary64_22236` `pow-prod-down_binary64_22314` `associate--r+_binary64_22179` `div-exp_binary64_22294` `sum-log_binary64_22334`

Counts

2 → 51

Calls

2 calls:

20.0ms	(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x)))
12.0ms	(*.f64 2 (/.f64 y x))

series283.0ms (1.6%)

Counts

2 → 18

Calls

2 calls:

194.0ms	(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x)))
88.0ms	(*.f64 2 (/.f64 y x))

Compiler

Compiled 316 to 297 computations (6% saved)

simplify138.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	5018	840

prune92.0ms (0.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	69	4	73

Error

Counts

73 → 4

Compiler

Compiled 977 to 651 computations (33.4% saved)

regimes136.0ms (0.8%)

Accuracy

Total 0.0b remaining (77.5%)

Threshold costs 0.0b (77.5%)

Compiler

Compiled 619 to 475 computations (23.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms (0%)

sample1.0s (5.9%)

Algorithm

1×

intervals

Results

359.0ms	7999×	body	128	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 233 to 178 computations (23.6% saved)

Details

analyze686.0ms (3.9%)

sample23.0ms (0.1%)

simplify422.0ms (2.4%)

prune4.0ms (0%)

localize12.0ms (0.1%)

rewrite30.0ms (0.2%)

series290.0ms (1.6%)

simplify124.0ms (0.7%)

prune146.0ms (0.8%)

localize21.0ms (0.1%)

rewrite297.0ms (1.7%)

series9.4s (53.6%)

simplify327.0ms (1.9%)

prune1.9s (10.6%)

localize19.0ms (0.1%)

rewrite117.0ms (0.7%)

series1.2s (6.6%)

simplify232.0ms (1.3%)

prune629.0ms (3.6%)

localize19.0ms (0.1%)

rewrite39.0ms (0.2%)

series283.0ms (1.6%)

simplify138.0ms (0.8%)

prune92.0ms (0.5%)

regimes136.0ms (0.8%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample1.0s (5.9%)

Profiling