Details

analyze373.0ms (7.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	782	20
1	782	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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
59.3%	40.6%	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

Compiler

Compiled 8 to 6 computations (25% saved)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify133.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

prune4.0ms (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 14 to 10 computations (28.6% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_21902`
22×	`add-sqr-sqrt_binary64_21924`
20×	`times-frac_binary64_21908`
12×	`add-cube-cbrt_binary64_21937`
6×	`distribute-lft-out_binary64_21853`
5×	`difference-of-squares_binary64_21871` `distribute-lft-out--_binary64_21854` `associate-/l*_binary64_21847`
4×	`associate-/r*_binary64_21846`
3×	`add-cbrt-cube_binary64_21938` `add-exp-log_binary64_21940`
2×	`associate-/r/_binary64_21848` `associate-/l/_binary64_21849`
1×	`clear-num_binary64_21901` `div-inv_binary64_21899` `flip3-+_binary64_21905` `div-sub_binary64_21907` `frac-2neg_binary64_21913` `flip--_binary64_21877` `pow1_binary64_21963` `div-exp_binary64_21953` `flip-+_binary64_21876` `add-log-exp_binary64_21941` `flip3--_binary64_21906` `cbrt-undiv_binary64_21936`

Counts

1 → 46

Calls

1 calls:

21.0ms

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

series128.0ms (2.7%)

Counts

1 → 21

Calls

1 calls:

128.0ms

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

Compiler

Compiled 312 to 288 computations (7.7% saved)

simplify111.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5390	1071

prune88.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	4	68

Error

Counts

68 → 4

Compiler

Compiled 880 to 256 computations (70.9% saved)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite78.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`*-un-lft-identity_binary64_21902`
52×	`times-frac_binary64_21908`
43×	`add-sqr-sqrt_binary64_21924`
31×	`add-cube-cbrt_binary64_21937`
18×	`cancel-sign-sub-inv_binary64_21868`
15×	`distribute-lft-out_binary64_21853`
10×	`associate-/r/_binary64_21848`
8×	`associate-/r*_binary64_21846`
7×	`distribute-lft-out--_binary64_21854` `add-cbrt-cube_binary64_21938` `add-exp-log_binary64_21940`
6×	`associate-/l*_binary64_21847`
5×	`div-inv_binary64_21899` `flip3-+_binary64_21905` `flip-+_binary64_21876` `add-log-exp_binary64_21941`
4×	`difference-of-squares_binary64_21871`
3×	`distribute-rgt-out--_binary64_21856` `pow1_binary64_21963`
2×	`clear-num_binary64_21901` `frac-2neg_binary64_21913` `div-exp_binary64_21953` `cbrt-undiv_binary64_21936`
1×	`sub-neg_binary64_21895` `diff-log_binary64_21994` `flip--_binary64_21877` `frac-sub_binary64_21911` `sub-div_binary64_21909` `flip3--_binary64_21906`

Counts

3 → 111

Calls

3 calls:

44.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
9.0ms	(/.f64 x (+.f64 x y))
9.0ms	(/.f64 y (+.f64 x y))

series401.0ms (8.4%)

Counts

3 → 60

Calls

3 calls:

167.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
124.0ms	(/.f64 y (+.f64 x y))
110.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 1101 to 864 computations (21.5% saved)

simplify138.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4993	2381
1	4993	2381

prune186.0ms (3.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	171	4	175

Error

Counts

175 → 4

Compiler

Compiled 2639 to 610 computations (76.9% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite95.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64_21902`
100×	`times-frac_binary64_21908`
98×	`add-sqr-sqrt_binary64_21924`
58×	`cbrt-prod_binary64_21933`
56×	`add-cube-cbrt_binary64_21937`
52×	`unpow-prod-down_binary64_21981` `cube-prod_binary64_21930`
26×	`distribute-lft-out_binary64_21853`
21×	`difference-of-squares_binary64_21871` `distribute-lft-out--_binary64_21854`
10×	`associate-/r/_binary64_21848`
8×	`add-cbrt-cube_binary64_21938` `add-exp-log_binary64_21940`
5×	`div-inv_binary64_21899` `flip3-+_binary64_21905` `flip-+_binary64_21876` `associate-/l*_binary64_21847`
4×	`pow1_binary64_21963` `associate-/r*_binary64_21846`
3×	`pow-unpow_binary64_21979` `add-log-exp_binary64_21941`
2×	`cube-div_binary64_21931` `pow-exp_binary64_21970` `sqr-pow_binary64_21874` `div-exp_binary64_21953` `rem-cube-cbrt_binary64_21925` `cube-mult_binary64_21932` `cbrt-undiv_binary64_21936` `unpow3_binary64_21968` `associate-/l/_binary64_21849`
1×	`clear-num_binary64_21901` `div-sub_binary64_21907` `cbrt-div_binary64_21934` `frac-2neg_binary64_21913` `flip--_binary64_21877` `pow1/3_binary64_21984` `pow-pow_binary64_21974` `flip3--_binary64_21906` `rem-cbrt-cube_binary64_21926` `pow-to-exp_binary64_21971`

Counts

3 → 186

Calls

3 calls:

26.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
19.0ms	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
15.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

series547.0ms (11.4%)

Counts

3 → 63

Calls

3 calls:

217.0ms	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
172.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
158.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 1098 to 1014 computations (7.7% saved)

simplify184.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

249 → 249

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4975	4720
1	4975	4720

prune321.0ms (6.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	249	0	249
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	249	4	253

Error

Counts

253 → 4

Compiler

Compiled 3867 to 1310 computations (66.1% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 x y))
0.0b	(sqrt.f64 (-.f64 x y))
0.1b	(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)))
0.2b	(/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))

rewrite104.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

102×	`*-un-lft-identity_binary64_21902`
86×	`add-sqr-sqrt_binary64_21924`
68×	`times-frac_binary64_21908`
65×	`sqrt-prod_binary64_21918`
44×	`add-cube-cbrt_binary64_21937`
38×	`associate-r_binary64_21842`
17×	`distribute-lft-out_binary64_21853`
12×	`difference-of-squares_binary64_21871` `distribute-lft-out--_binary64_21854`
11×	`add-cbrt-cube_binary64_21938` `add-exp-log_binary64_21940`
10×	`sqrt-div_binary64_21919`
8×	`pow1_binary64_21963` `associate-l_binary64_21843` `associate-/l*_binary64_21847`
6×	`unswap-sqr_binary64_21870`
5×	`flip--_binary64_21877` `flip3--_binary64_21906`
4×	`associate-/r/_binary64_21848` `add-log-exp_binary64_21941` `associate-/r*_binary64_21846`
2×	`cbrt-unprod_binary64_21935` `pow1/2_binary64_21982` `div-inv_binary64_21899` `flip3-+_binary64_21905` `associate-*l/_binary64_21845` `prod-exp_binary64_21951` `frac-times_binary64_21912` `div-exp_binary64_21953` `flip-+_binary64_21876` `rem-sqrt-square_binary64_21915` `sqrt-pow1_binary64_21920` `cbrt-undiv_binary64_21936` `associate-/l/_binary64_21849`
1×	`clear-num_binary64_21901` `pow-prod-down_binary64_21973` `associate-r/_binary64_21844` `frac-2neg_binary64_21913` `-commutative_binary64_21833`

Counts

4 → 164

Calls

4 calls:

44.0ms	(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)))
17.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))
6.0ms	(sqrt.f64 (-.f64 x y))
6.0ms	(sqrt.f64 (-.f64 x y))

series385.0ms (8%)

Counts

4 → 42

Calls

4 calls:

132.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))
130.0ms	(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)))
64.0ms	(sqrt.f64 (-.f64 x y))
59.0ms	(sqrt.f64 (-.f64 x y))

Compiler

Compiled 1092 to 853 computations (21.9% saved)

simplify166.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4965	3386
1	4965	3386

prune223.0ms (4.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	206	4	210

Error

Counts

210 → 4

Compiler

Compiled 3726 to 588 computations (84.2% saved)

regimes126.0ms (2.6%)

Accuracy

Total 0.0b remaining (90%)

Threshold costs 0.0b (90%)

Compiler

Compiled 512 to 319 computations (37.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	13
1	19	13

end0.0ms (0%)

sample904.0ms (18.8%)

Algorithm

1×

intervals

Results

321.0ms

8000×

body

128

valid

Compiler

Compiled 173 to 109 computations (37% saved)

Details

analyze373.0ms (7.8%)

sample20.0ms (0.4%)

simplify133.0ms (2.8%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite27.0ms (0.6%)

series128.0ms (2.7%)

simplify111.0ms (2.3%)

prune88.0ms (1.8%)

localize16.0ms (0.3%)

rewrite78.0ms (1.6%)

series401.0ms (8.4%)

simplify138.0ms (2.9%)

prune186.0ms (3.9%)

localize13.0ms (0.3%)

rewrite95.0ms (2%)

series547.0ms (11.4%)

simplify184.0ms (3.8%)

prune321.0ms (6.7%)

localize13.0ms (0.3%)

rewrite104.0ms (2.2%)

series385.0ms (8%)

simplify166.0ms (3.5%)

prune223.0ms (4.6%)

regimes126.0ms (2.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample904.0ms (18.8%)

Profiling