Details

analyze2.0ms (0.1%)

Algorithm

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 (0.5%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify164.0ms (8.6%)

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

Merged 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)

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64_10187` `add-log-exp_binary64_10223`
1×	`distribute-lft-out_binary64_10140` `add-sqr-sqrt_binary64_10208` `+-commutative_binary64_10119` `flip3-+_binary64_10190` `sum-log_binary64_10275` `add-exp-log_binary64_10222` `flip-+_binary64_10161` `pow1_binary64_10245` `add-cbrt-cube_binary64_10220` `add-cube-cbrt_binary64_10219`

Counts

1 → 12

Calls

1 calls:

3.0ms

(+.f64 x 1/3)

series27.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

27.0ms

(+.f64 x 1/3)

simplify94.0ms (5%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4977	101
1	4977	101

prune11.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

Compiler

Compiled 112 to 89 computations (20.5% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))
0.0b	(-.f64 x 1/3)
0.2b	(*.f64 x (-.f64 x 1/3))
21.9b	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))

rewrite37.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64_10187`
21×	`add-sqr-sqrt_binary64_10208`
15×	`add-cube-cbrt_binary64_10219`
12×	`times-frac_binary64_10193`
8×	`add-exp-log_binary64_10222` `add-cbrt-cube_binary64_10220` `add-log-exp_binary64_10223`
6×	`pow1_binary64_10245`
5×	`sub-neg_binary64_10180` `associate-r_binary64_10129`
4×	`distribute-lft-out_binary64_10140` `associate-/l*_binary64_10134`
3×	`associate-l_binary64_10130` `flip3-+_binary64_10190` `associate-/r*_binary64_10133` `flip-+_binary64_10161`
2×	`associate-*r/_binary64_10131` `associate-/r/_binary64_10135` `associate-/l/_binary64_10136` `flip--_binary64_10162` `flip3--_binary64_10191` `distribute-rgt-in_binary64_10139` `distribute-lft-out--_binary64_10141` `distribute-lft-in_binary64_10138` `associate-+r+_binary64_10121` `difference-of-squares_binary64_10156`
1×	`frac-2neg_binary64_10198` `cbrt-undiv_binary64_10218` `+-commutative_binary64_10119` `pow-prod-down_binary64_10255` `sum-log_binary64_10275` `div-exp_binary64_10235` `*-commutative_binary64_10120` `unswap-sqr_binary64_10155` `prod-exp_binary64_10233` `div-inv_binary64_10184` `cbrt-unprod_binary64_10217` `clear-num_binary64_10186` `diff-log_binary64_10276`

Counts

4 → 85

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

series260.0ms (13.7%)

Counts

4 → 12

Calls

4 calls:

162.0ms	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
53.0ms	(*.f64 x (-.f64 x 1/3))
24.0ms	(-.f64 x 1/3)
21.0ms	(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))

simplify70.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5674	1613

prune111.0ms (5.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	97	3	100

Merged error: 0b

Counts

100 → 3

Compiler

Compiled 1889 to 1477 computations (21.8% saved)

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x 1/3)
0.2b	(*.f64 x (-.f64 x 1/3))
0.4b	(/.f64 1 (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
21.9b	(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (+.f64 1/9 (.f64 x (-.f64 x 1/3)))))

rewrite44.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_10208`
29×	`*-un-lft-identity_binary64_10187`
22×	`add-cube-cbrt_binary64_10219`
20×	`associate-r_binary64_10129` `times-frac_binary64_10193`
19×	`add-exp-log_binary64_10222`
13×	`add-cbrt-cube_binary64_10220`
9×	`pow1_binary64_10245`
7×	`associate-l_binary64_10130`
6×	`add-log-exp_binary64_10223`
5×	`prod-exp_binary64_10233`
4×	`associate-/r/_binary64_10135` `flip3-+_binary64_10190` `div-exp_binary64_10235` `unswap-sqr_binary64_10155` `flip-+_binary64_10161`
3×	`associate-r/_binary64_10131` `sub-neg_binary64_10180` `associate-/l_binary64_10134` `associate-/r*_binary64_10133` `cbrt-unprod_binary64_10217`
2×	`cbrt-undiv_binary64_10218` `flip--_binary64_10162` `frac-times_binary64_10197` `pow-prod-down_binary64_10255` `flip3--_binary64_10191` `rec-exp_binary64_10234` `-commutative_binary64_10120` `1-exp_binary64_10228` `distribute-lft-out--_binary64_10141` `div-inv_binary64_10184` `difference-of-squares_binary64_10156` `associate-l/_binary64_10132`
1×	`frac-2neg_binary64_10198` `inv-pow_binary64_10269` `distribute-lft-out_binary64_10140` `un-div-inv_binary64_10185` `pow-flip_binary64_10258` `distribute-rgt-in_binary64_10139` `distribute-lft-in_binary64_10138` `clear-num_binary64_10186` `diff-log_binary64_10276`

Counts

4 → 113

Calls

4 calls:

18.0ms	(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (+.f64 1/9 (.f64 x (-.f64 x 1/3)))))
8.0ms	(*.f64 x (-.f64 x 1/3))
5.0ms	(/.f64 1 (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
4.0ms	(-.f64 x 1/3)

series267.0ms (14.1%)

Counts

4 → 12

Calls

4 calls:

160.0ms	(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (+.f64 1/9 (.f64 x (-.f64 x 1/3)))))
48.0ms	(*.f64 x (-.f64 x 1/3))
35.0ms	(/.f64 1 (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
24.0ms	(-.f64 x 1/3)

simplify82.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	6517	2060

prune153.0ms (8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	125	3	128

Merged error: 0b

Counts

128 → 3

Compiler

Compiled 2615 to 2096 computations (19.8% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x 1/3)
0.5b	(pow.f64 (+.f64 x 1/3) 3)
21.3b	(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))

rewrite18.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_10187`
14×	`cbrt-prod_binary64_10215`
9×	`add-sqr-sqrt_binary64_10208` `add-cube-cbrt_binary64_10219`
8×	`cube-prod_binary64_10212` `unpow-prod-down_binary64_10263`
5×	`distribute-lft-out_binary64_10140` `add-log-exp_binary64_10223`
4×	`cube-div_binary64_10213` `add-exp-log_binary64_10222` `pow1_binary64_10245` `add-cbrt-cube_binary64_10220`
3×	`flip3-+_binary64_10190` `pow-unpow_binary64_10261` `flip-+_binary64_10161`
2×	`unpow3_binary64_10250` `cube-mult_binary64_10214` `cbrt-div_binary64_10216` `sqr-pow_binary64_10159`
1×	`rem-cube-cbrt_binary64_10209` `pow1/3_binary64_10266` `+-commutative_binary64_10119` `sum-log_binary64_10275` `pow-to-exp_binary64_10253` `pow-exp_binary64_10252` `rem-cbrt-cube_binary64_10210` `pow-pow_binary64_10256`

Counts

3 → 64

Calls

3 calls:

5.0ms	(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
5.0ms	(pow.f64 (+.f64 x 1/3) 3)
3.0ms	(+.f64 x 1/3)

series70.0ms (3.7%)

Counts

3 → 9

Calls

3 calls:

27.0ms	(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
23.0ms	(+.f64 x 1/3)
21.0ms	(pow.f64 (+.f64 x 1/3) 3)

simplify56.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5235	639

prune53.0ms (2.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	73	3	76

Merged error: 0b

Counts

76 → 3

Compiler

Compiled 651 to 536 computations (17.7% saved)

regimes9.0ms (0.5%)

Compiler: Compiled 26 to 24 computations (7.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	4
1	5	4

end0.0ms (0%)

sample326.0ms (17.1%)

Algorithm

1×

intervals

Results

151.0ms

8000×

body

128

valid

Compiler

Compiled 33 to 32 computations (3% saved)

Details

analyze2.0ms (0.1%)

sample10.0ms (0.5%)

simplify164.0ms (8.6%)

prune3.0ms (0.2%)

localize2.0ms (0.1%)

rewrite4.0ms (0.2%)

series27.0ms (1.4%)

simplify94.0ms (5%)

prune11.0ms (0.6%)

localize10.0ms (0.5%)

rewrite37.0ms (2%)

series260.0ms (13.7%)

simplify70.0ms (3.7%)

prune111.0ms (5.8%)

localize11.0ms (0.6%)

rewrite44.0ms (2.3%)

series267.0ms (14.1%)

simplify82.0ms (4.3%)

prune153.0ms (8%)

localize5.0ms (0.3%)

rewrite18.0ms (0.9%)

series70.0ms (3.7%)

simplify56.0ms (2.9%)

prune53.0ms (2.8%)

regimes9.0ms (0.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample326.0ms (17.1%)

Profiling