Details

analyze146.0ms (3.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	412	20
1	412	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
50%	50%	0.1%	4
50%	50%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
87.4%	12.5%	0.1%	8
87.4%	12.5%	0.1%	9
93.7%	6.2%	0.1%	10
93.7%	6.2%	0.1%	11
96.8%	3.1%	0.1%	12
96.8%	3.1%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.3%)

Algorithm

1×

intervals

Results

5.0ms	238×	body	128	valid
1.0ms	9×	body	2048	valid
0.0ms	6×	body	1024	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify20.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	310	10
1	310	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

0.1b

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

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64_16105` `add-log-exp_binary64_16144`
1×	`associate-+r-_binary64_16039` `flip-+_binary64_16079` `add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127` `add-exp-log_binary64_16143` `sum-log_binary64_16196` `+-commutative_binary64_16035` `flip3-+_binary64_16108` `pow1_binary64_16166` `div-sub_binary64_16110` `add-cbrt-cube_binary64_16141` `distribute-lft-out_binary64_16056`

Counts

1 → 13

Calls

1 calls:

9.0ms

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

series40.0ms (1%)

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify59.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5187	228

prune16.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	13	3	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	4	17

Error

0.0b

Counts

17 → 4

Compiler

Compiled 266 to 158 computations (40.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

rewrite63.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_16136`
35×	`*-un-lft-identity_binary64_16105`
23×	`add-sqr-sqrt_binary64_16127`
18×	`cbrt-div_binary64_16137`
15×	`add-cube-cbrt_binary64_16140`
11×	`pow1_binary64_16166`
9×	`flip-+_binary64_16079` `pow1/3_binary64_16187` `swap-sqr_binary64_16072` `flip3-+_binary64_16108` `distribute-lft-out_binary64_16056`
7×	`associate-r_binary64_16045` `associate-l_binary64_16046`
6×	`add-exp-log_binary64_16143`
4×	`frac-times_binary64_16115` `add-log-exp_binary64_16144` `unswap-sqr_binary64_16073` `add-cbrt-cube_binary64_16141`
2×	`associate-r/_binary64_16047` `pow-prod-up_binary64_16175` `pow-sqr_binary64_16078` `pow-prod-down_binary64_16176` `associate-l/_binary64_16048`
1×	`cbrt-unprod_binary64_16138` `pow-plus_binary64_16168` `*-commutative_binary64_16036` `prod-exp_binary64_16154` `pow2_binary64_16186`

Counts

4 → 95

Calls

4 calls:

25.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

series552.0ms (13.1%)

Counts

4 → 12

Calls

4 calls:

152.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
137.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
131.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
131.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

simplify62.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5171	2505

prune165.0ms (3.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	104	7	111

Error

0.0b

Counts

111 → 7

Compiler

Compiled 3688 to 2151 computations (41.7% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))

rewrite51.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`cbrt-prod_binary64_16136`
19×	`*-un-lft-identity_binary64_16105`
14×	`cbrt-div_binary64_16137`
11×	`add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127`
4×	`flip-+_binary64_16079` `pow1/3_binary64_16187` `add-exp-log_binary64_16143` `add-log-exp_binary64_16144` `flip3-+_binary64_16108` `pow1_binary64_16166` `add-cbrt-cube_binary64_16141` `distribute-lft-out_binary64_16056`

Counts

4 → 65

Calls

4 calls:

12.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
10.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
10.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
10.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))

series529.0ms (12.6%)

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
133.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
132.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
129.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))

simplify71.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4943	1692
1	4943	1692

prune190.0ms (4.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	76	8	84

Error

0.0b

Counts

84 → 8

Compiler

Compiled 4410 to 2649 computations (39.9% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
1.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 6)

rewrite50.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`cbrt-prod_binary64_16136`
21×	`*-un-lft-identity_binary64_16105`
13×	`add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127`
10×	`unpow-prod-down_binary64_16184` `cbrt-div_binary64_16137`
5×	`add-exp-log_binary64_16143` `pow1_binary64_16166`
4×	`pow1/3_binary64_16187` `add-log-exp_binary64_16144` `add-cbrt-cube_binary64_16141` `distribute-lft-out_binary64_16056`
3×	`flip-+_binary64_16079` `flip3-+_binary64_16108` `pow-unpow_binary64_16182`
2×	`pow-pow_binary64_16177`
1×	`pow-exp_binary64_16173` `pow-to-exp_binary64_16174` `sqr-pow_binary64_16077`

Counts

4 → 73

Calls

4 calls:

12.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 6)
10.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
10.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

series839.0ms (19.9%)

Counts

4 → 12

Calls

4 calls:

436.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 6)
139.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
133.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
130.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))

simplify89.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5005	1781

prune176.0ms (4.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	85	8	93

Error

0.0b

Counts

93 → 8

Compiler

Compiled 3951 to 2451 computations (38% saved)

regimes139.0ms (3.3%)

Accuracy

Total 0.1b remaining (69.3%)

Threshold costs 0.1b (69.3%)

Compiler

Compiled 1872 to 1286 computations (31.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms (0%)

sample880.0ms (20.9%)

Algorithm

1×

intervals

Results

176.0ms	7453×	body	128	valid
15.0ms	162×	body	2048	valid
14.0ms	192×	body	1024	valid
7.0ms	120×	body	512	valid
3.0ms	73×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 640 to 444 computations (30.6% saved)

Details

analyze146.0ms (3.5%)

sample13.0ms (0.3%)

simplify20.0ms (0.5%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite10.0ms (0.2%)

series40.0ms (1%)

simplify59.0ms (1.4%)

prune16.0ms (0.4%)

localize9.0ms (0.2%)

rewrite63.0ms (1.5%)

series552.0ms (13.1%)

simplify62.0ms (1.5%)

prune165.0ms (3.9%)

localize14.0ms (0.3%)

rewrite51.0ms (1.2%)

series529.0ms (12.6%)

simplify71.0ms (1.7%)

prune190.0ms (4.5%)

localize15.0ms (0.3%)

rewrite50.0ms (1.2%)

series839.0ms (19.9%)

simplify89.0ms (2.1%)

prune176.0ms (4.2%)

regimes139.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample880.0ms (20.9%)

Profiling