Details

analyze35.0ms (0.8%)

Algorithm

1×

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
50%	50%	0.1%	4
50%	50%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
87.4%	12.5%	0.1%	8
87.4%	12.5%	0.1%	9
93.7%	6.2%	0.1%	10
93.7%	6.2%	0.1%	11
96.8%	3.1%	0.1%	12
96.8%	3.1%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample18.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	237×	body	128	valid
0.0ms	6×	body	1024	valid
0.0ms	7×	body	512	valid
0.0ms	5×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify166.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	292	10
1	292	10

prune2.0ms (0%)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 x y) 2))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64_19960` `add-log-exp_binary64_19996`
1×	`flip3-+_binary64_19963` `add-cube-cbrt_binary64_19992` `div-sub_binary64_19965` `add-exp-log_binary64_19995` `distribute-lft-out_binary64_19913` `+-commutative_binary64_19892` `add-sqr-sqrt_binary64_19981` `add-cbrt-cube_binary64_19993` `sum-log_binary64_20048` `pow1_binary64_20018` `flip-+_binary64_19934` `associate-+r-_binary64_19896`

Counts

1 → 13

Calls

1 calls:

14.0ms

(+.f64 x (/.f64 (-.f64 x y) 2))

series47.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

47.0ms

(+.f64 x (/.f64 (-.f64 x y) 2))

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	6330	228

prune20.0ms (0.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	11	5	16
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	12	5	17

Merged error: 0.0b

Counts

17 → 5

Compiler

Compiled 294 to 177 computations (39.8% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x 3/2) (.f64 y 1/2))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_19996`
1×	`*-un-lft-identity_binary64_19960` `flip--_binary64_19935` `sub-neg_binary64_19953` `diff-log_binary64_20049` `add-cube-cbrt_binary64_19992` `add-exp-log_binary64_19995` `flip3--_binary64_19964` `add-sqr-sqrt_binary64_19981` `add-cbrt-cube_binary64_19993` `pow1_binary64_20018`

Counts

1 → 11

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x 3/2) (*.f64 y 1/2))

series50.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

50.0ms

(-.f64 (*.f64 x 3/2) (*.f64 y 1/2))

simplify50.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5284	209

prune18.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	13	6	19

Merged error: 0.0b

Counts

19 → 6

Compiler

Compiled 284 to 206 computations (27.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
0.6b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

rewrite68.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_19988`
35×	`*-un-lft-identity_binary64_19960`
23×	`add-sqr-sqrt_binary64_19981`
18×	`cbrt-div_binary64_19989`
15×	`add-cube-cbrt_binary64_19992`
11×	`pow1_binary64_20018`
9×	`swap-sqr_binary64_19927` `flip3-+_binary64_19963` `pow1/3_binary64_20039` `distribute-lft-out_binary64_19913` `flip-+_binary64_19934`
7×	`associate-r_binary64_19902` `associate-l_binary64_19903`
6×	`add-exp-log_binary64_19995`
4×	`unswap-sqr_binary64_19928` `add-log-exp_binary64_19996` `add-cbrt-cube_binary64_19993` `frac-times_binary64_19970`
2×	`associate-l/_binary64_19905` `pow-prod-down_binary64_20028` `pow-prod-up_binary64_20027` `associate-r/_binary64_19904` `pow-sqr_binary64_19933`
1×	`pow-plus_binary64_20020` `pow2_binary64_20038` `*-commutative_binary64_19893` `cbrt-unprod_binary64_19990` `prod-exp_binary64_20006`

Counts

4 → 95

Calls

4 calls:

27.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
10.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
10.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
10.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

series1.1s (25%)

Counts

4 → 12

Calls

4 calls:

299.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
261.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
254.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
246.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

simplify73.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4870	2396
1	4870	2396

prune168.0ms (4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	104	9	113

Merged error: 0.0b

Counts

113 → 9

Compiler

Compiled 3679 to 2147 computations (41.6% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 4)

rewrite52.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`cbrt-prod_binary64_19988`
19×	`*-un-lft-identity_binary64_19960`
11×	`add-cube-cbrt_binary64_19992` `add-sqr-sqrt_binary64_19981`
10×	`unpow-prod-down_binary64_20036`
6×	`cbrt-div_binary64_19989`
5×	`add-exp-log_binary64_19995` `pow1_binary64_20018`
4×	`add-log-exp_binary64_19996` `pow1/3_binary64_20039` `distribute-lft-out_binary64_19913` `add-cbrt-cube_binary64_19993`
3×	`flip3-+_binary64_19963` `pow-unpow_binary64_20034` `flip-+_binary64_19934`
2×	`pow-pow_binary64_20029`
1×	`pow-exp_binary64_20025` `sqr-pow_binary64_19932` `pow-to-exp_binary64_20026`

Counts

4 → 67

Calls

4 calls:

13.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 4)
10.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
10.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
10.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

series1.4s (32.2%)

Counts

4 → 12

Calls

4 calls:

615.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 4)
258.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
257.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
237.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

simplify80.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4843	1606
1	4843	1606

prune144.0ms (3.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	79	9	88

Merged error: 0.0b

Counts

88 → 9

Compiler

Compiled 3044 to 1972 computations (35.2% saved)

regimes90.0ms (2.1%)

Compiler: Compiled 998 to 675 computations (32.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

end0.0ms (0%)

sample618.0ms (14.6%)

Algorithm

1×

intervals

Results

183.0ms	7404×	body	128	valid
17.0ms	211×	body	1024	valid
16.0ms	164×	body	2048	valid
9.0ms	144×	body	512	valid
3.0ms	77×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 290 to 201 computations (30.7% saved)

Details

analyze35.0ms (0.8%)

sample18.0ms (0.4%)

simplify166.0ms (3.9%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite15.0ms (0.4%)

series47.0ms (1.1%)

simplify60.0ms (1.4%)

prune20.0ms (0.5%)

localize5.0ms (0.1%)

rewrite5.0ms (0.1%)

series50.0ms (1.2%)

simplify50.0ms (1.2%)

prune18.0ms (0.4%)

localize9.0ms (0.2%)

rewrite68.0ms (1.6%)

series1.1s (25%)

simplify73.0ms (1.7%)

prune168.0ms (4%)

localize18.0ms (0.4%)

rewrite52.0ms (1.2%)

series1.4s (32.2%)

simplify80.0ms (1.9%)

prune144.0ms (3.4%)

regimes90.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample618.0ms (14.6%)

Profiling