Details

analyze39.0ms (0.9%)

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)

sample13.0ms (0.3%)

Algorithm

1×

intervals

Results

5.0ms	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)

simplify184.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

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))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_11126` `*-un-lft-identity_binary64_11087`
1×	`add-cbrt-cube_binary64_11123` `add-cube-cbrt_binary64_11122` `add-sqr-sqrt_binary64_11109` `pow1_binary64_11148` `flip-+_binary64_11061` `add-exp-log_binary64_11125` `distribute-lft-out_binary64_11038` `+-commutative_binary64_11017` `associate-+r-_binary64_11021` `sum-log_binary64_11178` `div-sub_binary64_11092` `flip3-+_binary64_11090`

Counts

1 → 13

Calls

1 calls:

11.0ms

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

series48.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify57.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5156	228

prune52.0ms (1.1%)

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 821 to 546 computations (33.5% 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_11126`
1×	`diff-log_binary64_11179` `flip--_binary64_11062` `add-cbrt-cube_binary64_11123` `add-cube-cbrt_binary64_11122` `add-sqr-sqrt_binary64_11109` `pow1_binary64_11148` `add-exp-log_binary64_11125` `*-un-lft-identity_binary64_11087` `sub-neg_binary64_11080` `flip3--_binary64_11091` `cancel-sign-sub-inv_binary64_11053`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

series54.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify50.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5014	213

prune23.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	14	6	20

Merged error: 0.0b

Counts

20 → 6

Compiler

Compiled 410 to 293 computations (28.5% 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)))

rewrite73.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_11118`
35×	`*-un-lft-identity_binary64_11087`
23×	`add-sqr-sqrt_binary64_11109`
18×	`cbrt-div_binary64_11119`
15×	`add-cube-cbrt_binary64_11122`
11×	`pow1_binary64_11148`
9×	`swap-sqr_binary64_11054` `flip-+_binary64_11061` `distribute-lft-out_binary64_11038` `flip3-+_binary64_11090` `pow1/3_binary64_11169`
7×	`associate-l_binary64_11028` `associate-r_binary64_11027`
6×	`add-exp-log_binary64_11125`
4×	`add-cbrt-cube_binary64_11123` `add-log-exp_binary64_11126` `unswap-sqr_binary64_11055` `frac-times_binary64_11097`
2×	`pow-prod-down_binary64_11158` `pow-sqr_binary64_11060` `associate-r/_binary64_11029` `associate-l/_binary64_11030` `pow-prod-up_binary64_11157`
1×	`pow2_binary64_11168` `pow-plus_binary64_11150` `cbrt-unprod_binary64_11120` `prod-exp_binary64_11136` `*-commutative_binary64_11018`

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))))
13.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
11.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
10.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

series1.1s (23.2%)

Counts

4 → 12

Calls

4 calls:

288.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
259.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
252.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
252.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

simplify118.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4851	2396
1	4851	2396

prune250.0ms (5.5%)

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 5427 to 3291 computations (39.4% saved)

localize14.0ms (0.3%)

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)

rewrite57.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`cbrt-prod_binary64_11118`
19×	`*-un-lft-identity_binary64_11087`
11×	`add-cube-cbrt_binary64_11122` `add-sqr-sqrt_binary64_11109`
10×	`unpow-prod-down_binary64_11166`
6×	`cbrt-div_binary64_11119`
5×	`pow1_binary64_11148` `add-exp-log_binary64_11125`
4×	`add-cbrt-cube_binary64_11123` `add-log-exp_binary64_11126` `distribute-lft-out_binary64_11038` `pow1/3_binary64_11169`
3×	`pow-unpow_binary64_11164` `flip-+_binary64_11061` `flip3-+_binary64_11090`
2×	`pow-pow_binary64_11159`
1×	`sqr-pow_binary64_11059` `pow-to-exp_binary64_11156` `pow-exp_binary64_11155`

Counts

4 → 67

Calls

4 calls:

14.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 4)
13.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
11.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
11.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

series1.4s (32%)

Counts

4 → 12

Calls

4 calls:

656.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 4)
264.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
264.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
263.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

simplify86.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4856	1598
1	4856	1598

prune177.0ms (3.9%)

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 3639 to 2372 computations (34.8% saved)

regimes90.0ms (2%)

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%)

sample607.0ms (13.4%)

Algorithm

1×

intervals

Results

178.0ms	7404×	body	128	valid
16.0ms	211×	body	1024	valid
15.0ms	164×	body	2048	valid
8.0ms	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

analyze39.0ms (0.9%)

sample13.0ms (0.3%)

simplify184.0ms (4.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite12.0ms (0.3%)

series48.0ms (1.1%)

simplify57.0ms (1.3%)

prune52.0ms (1.1%)

localize5.0ms (0.1%)

rewrite5.0ms (0.1%)

series54.0ms (1.2%)

simplify50.0ms (1.1%)

prune23.0ms (0.5%)

localize9.0ms (0.2%)

rewrite73.0ms (1.6%)

series1.1s (23.2%)

simplify118.0ms (2.6%)

prune250.0ms (5.5%)

localize14.0ms (0.3%)

rewrite57.0ms (1.3%)

series1.4s (32%)

simplify86.0ms (1.9%)

prune177.0ms (3.9%)

regimes90.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample607.0ms (13.4%)

Profiling