Details

analyze94.0ms (7.4%)

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)

sample11.0ms (0.9%)

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	10	4
1	10	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)

rewrite19.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

4×	`add-sqr-sqrt_binary64_10671` `*-un-lft-identity_binary64_10649`
3×	`add-log-exp_binary64_10688` `cancel-sign-sub-inv_binary64_10615`
2×	`add-cube-cbrt_binary64_10684`
1×	`diff-log_binary64_10741` `pow1_binary64_10710` `add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685` `flip3--_binary64_10653` `sub-neg_binary64_10642` `flip--_binary64_10624` `difference-of-squares_binary64_10618` `distribute-lft-out--_binary64_10601`

Counts

1 → 16

Calls

1 calls:

4.0ms

(-.f64 x 1/3)

Compiler

Compiled 136 to 108 computations (20.6% saved)

series22.0ms (1.7%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

19.0ms

(-.f64 x 1/3)

Compiler

Compiled 33 to 30 computations (9.1% saved)

simplify97.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4802	124
1	4802	124

prune13.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	2	23

Error

Counts

23 → 2

Compiler

Compiled 129 to 98 computations (24% 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))
19.4b	(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))

rewrite164.0ms (12.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

49×	`add-sqr-sqrt_binary64_10671`
31×	`*-un-lft-identity_binary64_10649`
24×	`times-frac_binary64_10655`
19×	`add-cube-cbrt_binary64_10684`
16×	`difference-of-squares_binary64_10618`
8×	`add-exp-log_binary64_10687` `add-log-exp_binary64_10688` `add-cbrt-cube_binary64_10685` `associate-/l*_binary64_10594`
6×	`pow1_binary64_10710`
4×	`unpow-prod-down_binary64_10728` `cube-prod_binary64_10677` `sqr-pow_binary64_10621` `distribute-lft-out--_binary64_10601` `flip3-+_binary64_10652` `flip-+_binary64_10623` `associate-r_binary64_10589`
3×	`associate-/r_binary64_10593` `associate-l*_binary64_10590`
2×	`associate-/l/_binary64_10596` `associate-/r/_binary64_10595` `distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598` `associate-*r/_binary64_10591` `distribute-lft-out_binary64_10600` `sum-log_binary64_10740` `associate-+r+_binary64_10581` `+-commutative_binary64_10579`
1×	`div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `frac-2neg_binary64_10660` `div-sub_binary64_10654` `clear-num_binary64_10648` `div-inv_binary64_10646` `flip3--_binary64_10653` `flip--_binary64_10624` `pow-prod-down_binary64_10720` `prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `unswap-sqr_binary64_10617` `*-commutative_binary64_10580`

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))
6.0ms	(+.f64 x 1/3)
4.0ms	(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))

Compiler

Compiled 2365 to 1856 computations (21.5% saved)

series219.0ms (17.2%)

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))))
63.0ms	(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))
41.0ms	(*.f64 x (+.f64 x 1/3))
21.0ms	(+.f64 x 1/3)

Compiler

Compiled 676 to 567 computations (16.1% saved)

simplify67.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5604	2304

prune137.0ms (10.8%)

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 2436 to 1904 computations (21.8% saved)

regimes22.0ms (1.7%)

Accuracy

Total 0.0b remaining (68.3%)

Threshold costs 0.0b (68.3%)

Compiler

Compiled 58 to 56 computations (3.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	4
1	16	4

end0.0ms (0%)

sample387.0ms (30.4%)

Algorithm

1×

intervals

Results

138.0ms

8000×

body

128

valid

Compiler

Compiled 32 to 32 computations (0% saved)

Details

analyze94.0ms (7.4%)

sample11.0ms (0.9%)

simplify7.0ms (0.5%)

prune3.0ms (0.2%)

localize2.0ms (0.1%)

rewrite19.0ms (1.5%)

series22.0ms (1.7%)

simplify97.0ms (7.6%)

prune13.0ms (1%)

localize8.0ms (0.6%)

rewrite164.0ms (12.9%)

series219.0ms (17.2%)

simplify67.0ms (5.2%)

prune137.0ms (10.8%)

regimes22.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample387.0ms (30.4%)

Profiling