Details

analyze91.0ms (6.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	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)

sample10.0ms (0.8%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

prune3.0ms (0.2%)

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 (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x 1/3)

rewrite17.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_8983` `*-un-lft-identity_binary64_8944`
1×	`sum-log_binary64_9035` `pow1_binary64_9005` `add-exp-log_binary64_8982` `add-cbrt-cube_binary64_8980` `add-cube-cbrt_binary64_8979` `add-sqr-sqrt_binary64_8966` `flip3-+_binary64_8947` `flip-+_binary64_8918` `distribute-lft-out_binary64_8895` `+-commutative_binary64_8874`

Counts

1 → 12

Calls

1 calls:

4.0ms

(+.f64 x 1/3)

Compiler

Compiled 99 to 77 computations (22.2% saved)

series20.0ms (1.5%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

17.0ms

(+.f64 x 1/3)

Compiler

Compiled 33 to 30 computations (9.1% saved)

simplify93.0ms (7%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4778	104
1	4778	104

prune13.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Error

Counts

19 → 2

Compiler

Compiled 109 to 84 computations (22.9% saved)

localize8.0ms (0.6%)

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)))
0.2b	(*.f64 x (-.f64 x 1/3))
20.6b	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))

rewrite162.0ms (12.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`*-un-lft-identity_binary64_8944`
26×	`add-sqr-sqrt_binary64_8966`
20×	`add-cube-cbrt_binary64_8979`
15×	`cancel-sign-sub-inv_binary64_8910`
12×	`times-frac_binary64_8950`
8×	`add-exp-log_binary64_8982` `add-log-exp_binary64_8983` `add-cbrt-cube_binary64_8980` `distribute-rgt-in_binary64_8894` `distribute-lft-in_binary64_8893` `associate-+r+_binary64_8876`
6×	`pow1_binary64_9005`
5×	`sub-neg_binary64_8937` `associate-r_binary64_8884`
4×	`distribute-lft-out_binary64_8895` `associate-/l*_binary64_8889`
3×	`flip3-+_binary64_8947` `flip-+_binary64_8918` `associate-/r_binary64_8888` `associate-l*_binary64_8885`
2×	`associate-/l/_binary64_8891` `associate-/r/_binary64_8890` `flip3--_binary64_8948` `associate-*r/_binary64_8886` `flip--_binary64_8919` `difference-of-squares_binary64_8913` `distribute-lft-out--_binary64_8896`
1×	`div-exp_binary64_8995` `cbrt-undiv_binary64_8978` `frac-2neg_binary64_8955` `clear-num_binary64_8943` `div-inv_binary64_8941` `pow-prod-down_binary64_9015` `prod-exp_binary64_8993` `cbrt-unprod_binary64_8977` `unswap-sqr_binary64_8912` `*-commutative_binary64_8875` `sum-log_binary64_9035` `+-commutative_binary64_8874` `diff-log_binary64_9036`

Counts

4 → 100

Calls

4 calls:

10.0ms	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
7.0ms	(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))
7.0ms	(*.f64 x (-.f64 x 1/3))
4.0ms	(-.f64 x 1/3)

Compiler

Compiled 2190 to 1709 computations (22% saved)

series217.0ms (16.3%)

Error

Counts

4 → 27

Calls

4 calls:

77.0ms	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
65.0ms	(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))
36.0ms	(*.f64 x (-.f64 x 1/3))
21.0ms	(-.f64 x 1/3)

Compiler

Compiled 676 to 567 computations (16.1% saved)

simplify75.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5092	1754

prune129.0ms (9.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	127	2	129

Error

Counts

129 → 2

Compiler

Compiled 2246 to 1728 computations (23.1% saved)

regimes41.0ms (3.1%)

Accuracy

Total 0.0b remaining (74.4%)

Threshold costs 0.0b (74.4%)

Compiler

Compiled 150 to 145 computations (3.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	4
1	5	4

end0.0ms (0%)

sample437.0ms (32.9%)

Algorithm

1×

intervals

Results

137.0ms

8000×

body

128

valid

Compiler

Compiled 70 to 68 computations (2.9% saved)

Details

analyze91.0ms (6.9%)

sample10.0ms (0.8%)

simplify7.0ms (0.5%)

prune3.0ms (0.2%)

localize2.0ms (0.1%)

rewrite17.0ms (1.3%)

series20.0ms (1.5%)

simplify93.0ms (7%)

prune13.0ms (1%)

localize8.0ms (0.6%)

rewrite162.0ms (12.2%)

series217.0ms (16.3%)

simplify75.0ms (5.6%)

prune129.0ms (9.7%)

regimes41.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample437.0ms (32.9%)

Profiling