Details

analyze92.0ms (9.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
75%	25%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample9.0ms (1%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify12.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

prune3.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 6 to 6 computations (0% saved)

localize2.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x 1/3)

rewrite5.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-sqr-sqrt_binary64_5897` `*-un-lft-identity_binary64_5875`
3×	`cancel-sign-sub-inv_binary64_5841` `add-log-exp_binary64_5914`
2×	`add-cube-cbrt_binary64_5910`
1×	`distribute-lft-out--_binary64_5827` `add-exp-log_binary64_5913` `diff-log_binary64_5967` `sub-neg_binary64_5868` `difference-of-squares_binary64_5844` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936` `flip3--_binary64_5879` `flip--_binary64_5850`

Counts

1 → 16

Calls

1 calls:

4.0ms

(-.f64 x 1/3)

series13.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

13.0ms

(-.f64 x 1/3)

simplify103.0ms (10.3%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4802	121
1	4802	121

prune13.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	2	20

Error

Counts

20 → 2

Compiler

Compiled 126 to 97 computations (23% saved)

localize9.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x 1/3)
0.0b	(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))
0.1b	(*.f64 x (+.f64 x 1/3))
20.0b	(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))

rewrite38.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64_5897`
31×	`*-un-lft-identity_binary64_5875`
24×	`times-frac_binary64_5881`
19×	`add-cube-cbrt_binary64_5910`
16×	`difference-of-squares_binary64_5844`
8×	`add-exp-log_binary64_5913` `associate-/l*_binary64_5820` `add-cbrt-cube_binary64_5911` `add-log-exp_binary64_5914`
6×	`pow1_binary64_5936`
4×	`distribute-lft-out--_binary64_5827` `flip-+_binary64_5849` `flip3-+_binary64_5878` `cube-prod_binary64_5903` `associate-r_binary64_5815` `unpow-prod-down_binary64_5954` `sqr-pow_binary64_5847`
3×	`associate-/r_binary64_5819` `associate-l*_binary64_5816`
2×	`distribute-lft-out_binary64_5826` `associate-+r+_binary64_5807` `associate-/r/_binary64_5821` `associate-/l/_binary64_5822` `distribute-rgt-in_binary64_5825` `distribute-lft-in_binary64_5824` `associate-*r/_binary64_5817` `sum-log_binary64_5966` `+-commutative_binary64_5805`
1×	`cbrt-undiv_binary64_5909` `div-sub_binary64_5880` `pow-prod-down_binary64_5946` `div-inv_binary64_5872` `cbrt-unprod_binary64_5908` `frac-2neg_binary64_5886` `div-exp_binary64_5926` `unswap-sqr_binary64_5843` `prod-exp_binary64_5924` `flip3--_binary64_5879` `*-commutative_binary64_5806` `clear-num_binary64_5874` `flip--_binary64_5850`

Counts

4 → 100

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))
7.0ms	(*.f64 x (+.f64 x 1/3))
4.0ms	(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))
3.0ms	(+.f64 x 1/3)

series134.0ms (13.5%)

Counts

4 → 12

Calls

4 calls:

82.0ms	(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))
31.0ms	(*.f64 x (+.f64 x 1/3))
10.0ms	(+.f64 x 1/3)
10.0ms	(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))

simplify68.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5604	2256

prune134.0ms (13.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	112	2	114

Error

Counts

114 → 2

Compiler

Compiled 2309 to 1816 computations (21.4% saved)

regimes19.0ms (1.9%)

Accuracy

Total 0.0b remaining (83.1%)

Threshold costs 0.0b (83.1%)

Compiler

Compiled 64 to 60 computations (6.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	14	4

end0.0ms (0%)

sample339.0ms (34.1%)

Algorithm

1×

intervals

Results

151.0ms

8000×

body

128

valid

Compiler

Compiled 35 to 34 computations (2.9% saved)

Details

analyze92.0ms (9.2%)

sample9.0ms (1%)

simplify12.0ms (1.2%)

prune3.0ms (0.3%)

localize2.0ms (0.2%)

rewrite5.0ms (0.5%)

series13.0ms (1.3%)

simplify103.0ms (10.3%)

prune13.0ms (1.3%)

localize9.0ms (0.9%)

rewrite38.0ms (3.9%)

series134.0ms (13.5%)

simplify68.0ms (6.8%)

prune134.0ms (13.5%)

regimes19.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample339.0ms (34.1%)

Profiling