Details

analyze128.0ms (6.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	7	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
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Symmetry

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample17.0ms (0.9%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

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

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite30.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`*-un-lft-identity_binary64_8262`
12×	`times-frac_binary64_8268`
10×	`add-cube-cbrt_binary64_8297` `add-sqr-sqrt_binary64_8284`
4×	`distribute-lft-out_binary64_8213` `associate-/r*_binary64_8206`
3×	`add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `associate-/l*_binary64_8207`
2×	`associate-/r/_binary64_8208`
1×	`pow1_binary64_8323` `div-exp_binary64_8313` `add-log-exp_binary64_8301` `cbrt-undiv_binary64_8296` `frac-2neg_binary64_8273` `clear-num_binary64_8261` `div-inv_binary64_8259` `flip3-+_binary64_8265` `flip-+_binary64_8236`

Counts

1 → 33

Calls

1 calls:

5.0ms

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

Compiler

Compiled 404 to 116 computations (71.3% saved)

series73.0ms (3.6%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

61.0ms

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

Compiler

Compiled 381 to 286 computations (24.9% saved)

simplify55.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5326	632

prune33.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Error

0.0b

Counts

52 → 3

Compiler

Compiled 523 to 163 computations (68.8% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x y) x)
0.4b	(/.f64 1 (/.f64 (+.f64 x y) x))

rewrite110.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

108×	`times-frac_binary64_8268`
92×	`*-un-lft-identity_binary64_8262`
60×	`add-cube-cbrt_binary64_8297` `add-sqr-sqrt_binary64_8284`
19×	`associate-/r*_binary64_8206`
16×	`distribute-lft-out_binary64_8213`
15×	`add-exp-log_binary64_8300`
9×	`add-cbrt-cube_binary64_8298`
8×	`div-exp_binary64_8313`
7×	`associate-/l*_binary64_8207`
6×	`div-inv_binary64_8259`
4×	`cbrt-undiv_binary64_8296`
3×	`pow1_binary64_8323`
2×	`1-exp_binary64_8306` `rec-exp_binary64_8312` `add-log-exp_binary64_8301` `frac-2neg_binary64_8273` `clear-num_binary64_8261` `associate-/l/_binary64_8209`
1×	`inv-pow_binary64_8347` `pow-flip_binary64_8336` `associate-/r/_binary64_8208` `flip3-+_binary64_8265` `flip-+_binary64_8236`

Counts

2 → 121

Calls

2 calls:

8.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))
5.0ms	(/.f64 (+.f64 x y) x)

Compiler

Compiled 1985 to 779 computations (60.8% saved)

series142.0ms (7%)

Error

0.0b

Counts

2 → 30

Calls

2 calls:

71.0ms	(/.f64 (+.f64 x y) x)
55.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))

Compiler

Compiled 555 to 439 computations (20.9% saved)

simplify81.0ms (4%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5053	2194

prune90.0ms (4.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	151	3	154

Error

0.0b

Counts

154 → 3

Compiler

Compiled 1848 to 681 computations (63.1% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.1b	(pow.f64 (/.f64 x (+.f64 x y)) 3)
14.8b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

rewrite150.0ms (7.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

78×	`*-un-lft-identity_binary64_8262`
60×	`times-frac_binary64_8268`
46×	`add-cube-cbrt_binary64_8297` `add-sqr-sqrt_binary64_8284`
42×	`cbrt-prod_binary64_8293`
36×	`unpow-prod-down_binary64_8341` `cube-prod_binary64_8290`
16×	`distribute-lft-out_binary64_8213`
10×	`associate-/r/_binary64_8208`
8×	`add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298`
5×	`div-inv_binary64_8259` `flip3-+_binary64_8265` `flip-+_binary64_8236`
4×	`pow1_binary64_8323` `associate-/r*_binary64_8206`
3×	`add-log-exp_binary64_8301` `pow-unpow_binary64_8339` `associate-/l*_binary64_8207`
2×	`cube-div_binary64_8291` `unpow3_binary64_8328` `cube-mult_binary64_8292` `sqr-pow_binary64_8234` `div-exp_binary64_8313` `pow-exp_binary64_8330` `rem-cube-cbrt_binary64_8285` `cbrt-undiv_binary64_8296`
1×	`pow1/3_binary64_8344` `cbrt-div_binary64_8294` `rem-cbrt-cube_binary64_8286` `pow-pow_binary64_8334` `pow-to-exp_binary64_8331` `frac-2neg_binary64_8273` `clear-num_binary64_8261`

Counts

3 → 141

Calls

3 calls:

10.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
8.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
5.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 2470 to 1006 computations (59.3% saved)

series254.0ms (12.6%)

Error

0.0b

Counts

3 → 54

Calls

3 calls:

92.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
64.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
57.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 1503 to 1219 computations (18.9% saved)

simplify62.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5453	2866

prune126.0ms (6.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	195	3	198

Error

0.0b

Counts

198 → 3

Compiler

Compiled 2461 to 936 computations (62% saved)

regimes66.0ms (3.3%)

Accuracy

Total 0.0b remaining (87.5%)

Threshold costs 0.0b (87.5%)

Compiler

Compiled 404 to 283 computations (30% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

Removed

()

end0.0ms (0%)

sample571.0ms (28.4%)

Algorithm

1×

intervals

Results

167.0ms

8000×

body

128

valid

Compiler

Compiled 141 to 100 computations (29.1% saved)

Details

analyze128.0ms (6.4%)

sample17.0ms (0.9%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite30.0ms (1.5%)

series73.0ms (3.6%)

simplify55.0ms (2.7%)

prune33.0ms (1.6%)

localize4.0ms (0.2%)

rewrite110.0ms (5.5%)

series142.0ms (7%)

simplify81.0ms (4%)

prune90.0ms (4.5%)

localize6.0ms (0.3%)

rewrite150.0ms (7.4%)

series254.0ms (12.6%)

simplify62.0ms (3.1%)

prune126.0ms (6.2%)

regimes66.0ms (3.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample571.0ms (28.4%)

Profiling