Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 5 to 5 computations (0% saved)

sample56.0ms (2%)

Algorithm

1×

intervals

Results

30.0ms	90×	body	1024	valid
9.0ms	11×	body	2048	valid
7.0ms	41×	body	512	valid
3.0ms	90×	body	128	valid
2.0ms	24×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify89.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6

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: 40.5b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.1b	(log.f64 (+.f64 1 x))

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`log-prod_binary64_2210` `*-un-lft-identity_binary64_2124`
2×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `log-div_binary64_2211` `add-exp-log_binary64_2162`
1×	`rem-log-exp_binary64_2165` `log-pow_binary64_2213` `distribute-lft-out_binary64_2075` `add-log-exp_binary64_2163` `flip3-+_binary64_2127` `flip-+_binary64_2098` `add-cbrt-cube_binary64_2160`

Counts

1 → 15

Calls

1 calls:

4.0ms

(log.f64 (+.f64 1 x))

series15.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

15.0ms

(log.f64 (+.f64 1 x))

simplify86.0ms (3%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4892	210
1	4892	210

prune23.0ms (0.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	4	19

Merged error: 0.1b

Counts

19 → 4

Compiler

Compiled 210 to 165 computations (21.4% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.1b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.3b	(*.f64 x 1/3)

rewrite20.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_2146`
9×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159` `associate-l_binary64_2065` `associate-r_binary64_2064` `add-exp-log_binary64_2162` `*-un-lft-identity_binary64_2124` `add-cbrt-cube_binary64_2160`
4×	`associate-*r/_binary64_2066`
3×	`pow-prod-down_binary64_2195` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `add-log-exp_binary64_2163` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
2×	`distribute-rgt-in_binary64_2074` `flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-lft-in_binary64_2073`

Counts

3 → 62

Calls

3 calls:

6.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
6.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
4.0ms	(*.f64 x 1/3)

series62.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

34.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
17.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
11.0ms	(*.f64 x 1/3)

simplify66.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5102	905

prune70.0ms (2.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	70	5	75

Merged error: 0.1b

Counts

75 → 5

Compiler

Compiled 1202 to 900 computations (25.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
0.1b	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
0.3b	(*.f64 x 1/3)

rewrite24.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`pow1_binary64_2185` `add-sqr-sqrt_binary64_2146` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
9×	`associate-l_binary64_2065`
8×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
7×	`associate-r_binary64_2064`
6×	`associate-*r/_binary64_2066`
5×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `cbrt-unprod_binary64_2157`
3×	`*-commutative_binary64_2055` `add-log-exp_binary64_2163`
2×	`unswap-sqr_binary64_2092` `flip3-+_binary64_2127` `flip-+_binary64_2098`

Counts

3 → 64

Calls

3 calls:

9.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
7.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
4.0ms	(*.f64 x 1/3)

series89.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

46.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
33.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
11.0ms	(*.f64 x 1/3)

simplify57.0ms (2%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4933	822
1	4933	822

prune60.0ms (2.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	73	5	78

Merged error: 0.1b

Counts

78 → 5

Compiler

Compiled 1150 to 791 computations (31.2% saved)

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
3.1b	(log.f64 (sqrt.f64 (+.f64 1 x)))
3.1b	(log.f64 (sqrt.f64 (+.f64 1 x)))

rewrite19.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_2124`
16×	`sqrt-prod_binary64_2140`
14×	`log-prod_binary64_2210`
12×	`add-sqr-sqrt_binary64_2146`
10×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159`
8×	`sqrt-div_binary64_2141`
6×	`log-pow_binary64_2213` `add-exp-log_binary64_2162`
4×	`sqrt-pow1_binary64_2142` `distribute-lft-out_binary64_2075` `add-log-exp_binary64_2163` `pow1/2_binary64_2204` `flip3-+_binary64_2127` `log-div_binary64_2211` `flip-+_binary64_2098` `add-cbrt-cube_binary64_2160`
2×	`rem-log-exp_binary64_2165` `rem-sqrt-square_binary64_2137`

Counts

4 → 72

Calls

4 calls:

4.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
3.0ms	(sqrt.f64 (+.f64 1 x))
3.0ms	(sqrt.f64 (+.f64 1 x))

series72.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
22.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
14.0ms	(sqrt.f64 (+.f64 1 x))
13.0ms	(sqrt.f64 (+.f64 1 x))

simplify66.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4923	1256
1	4923	1256

prune84.0ms (2.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	85	4	89

Merged error: 0.1b

Counts

89 → 4

Compiler

Compiled 1480 to 1146 computations (22.6% saved)

regimes91.0ms (3.2%)

Compiler: Compiled 597 to 510 computations (14.6% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	55
1	29	55

end0.0ms (0%)

sample1.8s (61.9%)

Algorithm

1×

intervals

Results

877.0ms	2681×	body	1024	valid
220.0ms	1360×	body	512	valid
112.0ms	259×	body	2048	valid
90.0ms	3022×	body	128	valid
55.0ms	678×	body	256	valid

Compiler

Compiled 231 to 193 computations (16.5% saved)

Details

analyze3.0ms (0.1%)

sample56.0ms (2%)

simplify89.0ms (3.2%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite4.0ms (0.2%)

series15.0ms (0.5%)

simplify86.0ms (3%)

prune23.0ms (0.8%)

localize7.0ms (0.2%)

rewrite20.0ms (0.7%)

series62.0ms (2.2%)

simplify66.0ms (2.3%)

prune70.0ms (2.5%)

localize7.0ms (0.2%)

rewrite24.0ms (0.8%)

series89.0ms (3.1%)

simplify57.0ms (2%)

prune60.0ms (2.1%)

localize5.0ms (0.2%)

rewrite19.0ms (0.7%)

series72.0ms (2.5%)

simplify66.0ms (2.3%)

prune84.0ms (2.9%)

regimes91.0ms (3.2%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.8s (61.9%)

Profiling