Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample19.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	69×	body	512	valid
4.0ms	140×	body	128	valid
2.0ms	17×	body	1024	valid
2.0ms	30×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify10.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 14.8b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
1.6b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite63.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

98×	`*-un-lft-identity_binary64`
72×	`add-sqr-sqrt_binary64`
69×	`times-frac_binary64`
32×	`add-cube-cbrt_binary64`
27×	`distribute-lft-out--_binary64`
17×	`difference-of-squares_binary64`
11×	`associate-/r*_binary64`
10×	`distribute-lft-out_binary64`
9×	`add-exp-log_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64` `div-inv_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`difference-of-sqr-1_binary64`
3×	`flip--_binary64`
2×	`flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `div-exp_binary64` `pow-flip_binary64` `flip-+_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `frac-sub_binary64`

Counts

3 → 122

Calls

3 calls:

40.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
6.0ms	(/.f64 1 (-.f64 x 1))
6.0ms	(/.f64 1 (+.f64 x 1))

series103.0ms (4.4%)

Counts

3 → 9

Calls

3 calls:

68.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
18.0ms	(/.f64 1 (-.f64 x 1))
17.0ms	(/.f64 1 (+.f64 x 1))

simplify75.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4858	2102
1	4858	2102

prune138.0ms (5.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	131	1	132

Merged error: 0.5b

Counts

132 → 1

Compiler

Compiled 2298 to 1894 computations (17.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.5b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
3×	`associate-/r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
2×	`associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

1 → 29

Calls

1 calls:

5.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

series39.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

39.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

simplify66.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5270	557

prune33.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Merged error: 0.4b

Counts

33 → 3

Compiler

Compiled 509 to 347 computations (31.8% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 -2)
16.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite15.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`

Counts

4 → 50

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
1.0ms	(cbrt.f64 -2)

series267.0ms (11.3%)

Counts

4 → 10

Calls

4 calls:

90.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
89.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
88.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
0.0ms	(cbrt.f64 -2)

simplify86.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4863	980
1	4863	980

prune112.0ms (4.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	59	4	63

Merged error: 0.4b

Counts

63 → 4

Compiler

Compiled 2214 to 1593 computations (28% saved)

localize19.0ms (0.8%)

Local error

Found 4 expressions with local error:

16.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series363.0ms (15.4%)

Counts

4 → 12

Calls

4 calls:

95.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
93.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
92.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
83.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify69.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4827	1156
1	4827	1156

prune169.0ms (7.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	64	4	68

Merged error: 0.4b

Counts

68 → 4

Compiler

Compiled 3380 to 2334 computations (30.9% saved)

regimes13.0ms (0.6%)

Compiler: Compiled 98 to 73 computations (25.5% saved)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms (0%)

sample648.0ms (27.4%)

Algorithm

1×

intervals

Results

166.0ms	2007×	body	512	valid
149.0ms	4621×	body	128	valid
52.0ms	921×	body	256	valid
52.0ms	451×	body	1024	valid

Compiler

Compiled 115 to 89 computations (22.6% saved)

Details

analyze4.0ms (0.2%)

sample19.0ms (0.8%)

simplify10.0ms (0.4%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite63.0ms (2.7%)

series103.0ms (4.4%)

simplify75.0ms (3.2%)

prune138.0ms (5.8%)

localize5.0ms (0.2%)

rewrite7.0ms (0.3%)

series39.0ms (1.7%)

simplify66.0ms (2.8%)

prune33.0ms (1.4%)

localize12.0ms (0.5%)

rewrite15.0ms (0.6%)

series267.0ms (11.3%)

simplify86.0ms (3.6%)

prune112.0ms (4.8%)

localize19.0ms (0.8%)

rewrite19.0ms (0.8%)

series363.0ms (15.4%)

simplify69.0ms (2.9%)

prune169.0ms (7.2%)

regimes13.0ms (0.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample648.0ms (27.4%)

Profiling