Details

analyze66.0ms (2.5%)

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
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
56.2%	40.6%	3.2%	7
64%	29.7%	6.3%	8
71%	20.3%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
81.3%	7.7%	11%	12
83.2%	5%	11.8%	13
84.4%	3.8%	11.8%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify19.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	238	10
1	238	10

prune2.0ms (0.1%)

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: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 (+.f64 x 1) y) x)
0.0b	(*.f64 (+.f64 x 1) y)

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
3×	`associate-r_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

2 → 32

Calls

2 calls:

7.0ms	(*.f64 (+.f64 x 1) y)
7.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)

series69.0ms (2.7%)

Counts

2 → 6

Calls

2 calls:

40.0ms	(*.f64 (+.f64 x 1) y)
29.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)

simplify75.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5008	440

prune34.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	34	4	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	5	39

Merged error: 0.0b

Counts

39 → 5

Compiler

Compiled 521 to 344 computations (34% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 x 1) y) x)) (cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))
0.6b	(cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x))
0.6b	(cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x))
0.6b	(cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x))

rewrite51.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

19.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 x 1) y) x)) (cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))
7.0ms	(cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x))
7.0ms	(cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x))
7.0ms	(cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x))

series602.0ms (23.3%)

Counts

4 → 12

Calls

4 calls:

205.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 x 1) y) x)) (cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))
141.0ms	(cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x))
130.0ms	(cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x))
126.0ms	(cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x))

simplify94.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4931	2374
1	4931	2374

prune162.0ms (6.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	99	5	104

Merged error: 0.0b

Counts

104 → 5

Compiler

Compiled 3360 to 2246 computations (33.2% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(-.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (.f64 y (sqrt.f64 (+.f64 x 1)))) x)
0.1b	(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 y (sqrt.f64 (+.f64 x 1))))
0.1b	(*.f64 y (sqrt.f64 (+.f64 x 1)))

rewrite48.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64` `sqrt-div_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`sqrt-prod_binary64`
12×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-r/_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64`
8×	`flip3-+_binary64` `associate-r_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64`
3×	`distribute-lft-out_binary64`
2×	`unswap-sqr_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`sub-neg_binary64` `pow1/2_binary64` `flip3--_binary64` `diff-log_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip--_binary64`

Counts

4 → 82

Calls

4 calls:

15.0ms	(-.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (.f64 y (sqrt.f64 (+.f64 x 1)))) x)
13.0ms	(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 y (sqrt.f64 (+.f64 x 1))))
8.0ms	(*.f64 y (sqrt.f64 (+.f64 x 1)))
4.0ms	(sqrt.f64 (+.f64 x 1))

series172.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

75.0ms	(*.f64 y (sqrt.f64 (+.f64 x 1)))
43.0ms	(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 y (sqrt.f64 (+.f64 x 1))))
31.0ms	(-.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (.f64 y (sqrt.f64 (+.f64 x 1)))) x)
23.0ms	(sqrt.f64 (+.f64 x 1))

simplify67.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4979	1316
1	4979	1316

prune90.0ms (3.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	93	6	99

Merged error: 0b

Counts

99 → 6

Compiler

Compiled 1660 to 1152 computations (30.6% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3))))
0.1b	(*.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3)))
0.2b	(pow.f64 (sqrt.f64 (+.f64 x 1)) 3)
2.5b	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3))

rewrite65.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`cbrt-prod_binary64`
37×	`*-un-lft-identity_binary64`
36×	`add-sqr-sqrt_binary64`
30×	`sqrt-prod_binary64`
24×	`associate-r_binary64`
23×	`add-cube-cbrt_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
18×	`sqrt-div_binary64`
13×	`pow1_binary64`
12×	`add-exp-log_binary64` `cube-div_binary64`
10×	`cbrt-div_binary64` `associate-r/_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
7×	`distribute-lft-out_binary64` `unswap-sqr_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `sqr-pow_binary64` `prod-exp_binary64` `frac-times_binary64`
3×	`pow-unpow_binary64` `pow-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`associate-l/_binary64` `-commutative_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `rem-cbrt-cube_binary64` `sqrt-pow2_binary64` `pow1/3_binary64` `sqrt-pow1_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

4 → 143

Calls

4 calls:

18.0ms	(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3))))
14.0ms	(*.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3)))
7.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3))
6.0ms	(pow.f64 (sqrt.f64 (+.f64 x 1)) 3)

series192.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

81.0ms	(*.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3)))
46.0ms	(pow.f64 (sqrt.f64 (+.f64 x 1)) 3)
38.0ms	(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3))))
26.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3))

simplify75.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5133	2140

prune177.0ms (6.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	2	0	2
Picked	1	0	1
Done	0	3	3
Total	157	4	161

Merged error: 0b

Counts

161 → 4

Compiler

Compiled 3075 to 2252 computations (26.8% saved)

regimes37.0ms (1.4%)

Compiler: Compiled 201 to 167 computations (16.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample424.0ms (16.4%)

Algorithm

1×

intervals

Results

188.0ms	7999×	body	128	valid
2.0ms	76×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 76 to 64 computations (15.8% saved)

Details

analyze66.0ms (2.5%)

sample12.0ms (0.4%)

simplify19.0ms (0.8%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite16.0ms (0.6%)

series69.0ms (2.7%)

simplify75.0ms (2.9%)

prune34.0ms (1.3%)

localize9.0ms (0.4%)

rewrite51.0ms (2%)

series602.0ms (23.3%)

simplify94.0ms (3.6%)

prune162.0ms (6.3%)

localize7.0ms (0.3%)

rewrite48.0ms (1.9%)

series172.0ms (6.7%)

simplify67.0ms (2.6%)

prune90.0ms (3.5%)

localize10.0ms (0.4%)

rewrite65.0ms (2.5%)

series192.0ms (7.4%)

simplify75.0ms (2.9%)

prune177.0ms (6.8%)

regimes37.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample424.0ms (16.4%)

Profiling