Details

analyze130.0ms (3.3%)

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
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
31.2%	68.7%	0.1%	6
46.8%	53.1%	0.1%	7
60.9%	39%	0.1%	8
67.9%	31.2%	0.9%	9
74.5%	22.2%	3.2%	10
77.9%	17.2%	5%	11
81.1%	11.8%	7.1%	12
82.7%	9%	8.3%	13
84.3%	6.1%	9.7%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample20.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
0.0ms	14×	body	128	invalid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify197.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5574	16

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: 8.9b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 x (+.f64 (/.f64 x y) 1))
8.2b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_23266`
9×	`add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302`
8×	`add-sqr-sqrt_binary64_23288`
6×	`add-cube-cbrt_binary64_23301`
4×	`associate-r/_binary64_23208` `pow1_binary64_23327` `associate-r_binary64_23206` `associate-/r_binary64_23210` `times-frac_binary64_23272`
3×	`distribute-lft-out_binary64_23217` `associate-l_binary64_23207` `flip-+_binary64_23240` `flip3-+_binary64_23269`
2×	`div-exp_binary64_23317` `cbrt-undiv_binary64_23300` `cbrt-unprod_binary64_23299` `associate-/r/_binary64_23212` `prod-exp_binary64_23315` `associate-/l/_binary64_23213` `add-log-exp_binary64_23305`
1×	`frac-2neg_binary64_23277` `-commutative_binary64_23197` `clear-num_binary64_23265` `distribute-rgt-in_binary64_23216` `pow-prod-down_binary64_23337` `div-inv_binary64_23263` `unswap-sqr_binary64_23234` `distribute-lft-in_binary64_23215` `associate-/l_binary64_23211`

Counts

2 → 50

Calls

2 calls:

14.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
10.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))

series173.0ms (4.3%)

Counts

2 → 26

Calls

2 calls:

109.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
64.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))

Compiler

Compiled 446 to 369 computations (17.3% saved)

simplify73.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4996	1129
1	4996	1129

prune75.0ms (1.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	70	6	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

Compiler

Compiled 1212 to 705 computations (41.8% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
0.1b	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))

rewrite43.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

155×	`*-un-lft-identity_binary64_23266`
146×	`times-frac_binary64_23272`
71×	`add-cube-cbrt_binary64_23301` `add-sqr-sqrt_binary64_23288`
42×	`distribute-lft-out_binary64_23217`
26×	`associate-/r*_binary64_23210`
11×	`associate-/r/_binary64_23212`
9×	`add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302`
7×	`associate-/l*_binary64_23211`
6×	`div-inv_binary64_23263` `flip-+_binary64_23240` `flip3-+_binary64_23269`
4×	`div-exp_binary64_23317` `cbrt-undiv_binary64_23300`
2×	`frac-2neg_binary64_23277` `clear-num_binary64_23265` `pow1_binary64_23327` `associate-/l/_binary64_23213` `add-log-exp_binary64_23305`

Counts

2 → 146

Calls

2 calls:

15.0ms	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
11.0ms	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))

series195.0ms (4.9%)

Counts

2 → 31

Calls

2 calls:

114.0ms	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
81.0ms	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))

Compiler

Compiled 633 to 490 computations (22.6% saved)

simplify103.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4968	4487
1	4968	4487

prune182.0ms (4.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	177	6	183

Merged error: 0.0b

Counts

183 → 6

Compiler

Compiled 3666 to 2086 computations (43.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (+.f64 (/.f64 x y) 1))
0.2b	(/.f64 1 (/.f64 (+.f64 x 1) (*.f64 x (+.f64 (/.f64 x y) 1))))
8.2b	(/.f64 (+.f64 x 1) (*.f64 x (+.f64 (/.f64 x y) 1)))

rewrite53.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`times-frac_binary64_23272`
40×	`*-un-lft-identity_binary64_23266`
31×	`add-exp-log_binary64_23304`
28×	`add-sqr-sqrt_binary64_23288`
26×	`add-cube-cbrt_binary64_23301`
19×	`add-cbrt-cube_binary64_23302`
14×	`div-exp_binary64_23317`
12×	`associate-*r/_binary64_23208`
11×	`associate-/r/_binary64_23212` `associate-/r*_binary64_23210`
7×	`cbrt-undiv_binary64_23300` `distribute-lft-out_binary64_23217` `flip-+_binary64_23240` `associate-/l*_binary64_23211` `flip3-+_binary64_23269`
6×	`div-inv_binary64_23263` `pow1_binary64_23327`
5×	`prod-exp_binary64_23315`
4×	`associate-r_binary64_23206`
3×	`1-exp_binary64_23310` `cbrt-unprod_binary64_23299` `associate-l_binary64_23207` `rec-exp_binary64_23316` `add-log-exp_binary64_23305`
2×	`frac-2neg_binary64_23277` `clear-num_binary64_23265` `associate-/l/_binary64_23213`
1×	`inv-pow_binary64_23351` `*-commutative_binary64_23197` `distribute-rgt-in_binary64_23216` `pow-prod-down_binary64_23337` `unswap-sqr_binary64_23234` `distribute-lft-in_binary64_23215` `pow-flip_binary64_23340`

Counts

3 → 118

Calls

3 calls:

15.0ms	(/.f64 1 (/.f64 (+.f64 x 1) (*.f64 x (+.f64 (/.f64 x y) 1))))
14.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))
13.0ms	(/.f64 (+.f64 x 1) (*.f64 x (+.f64 (/.f64 x y) 1)))

series295.0ms (7.4%)

Counts

3 → 43

Calls

3 calls:

115.0ms	(/.f64 (+.f64 x 1) (*.f64 x (+.f64 (/.f64 x y) 1)))
112.0ms	(/.f64 1 (/.f64 (+.f64 x 1) (*.f64 x (+.f64 (/.f64 x y) 1))))
68.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))

Compiler

Compiled 981 to 804 computations (18% saved)

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5124	3195

prune157.0ms (3.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	161	6	167

Merged error: 0.0b

Counts

167 → 6

Compiler

Compiled 2969 to 1802 computations (39.3% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 x 1) (-.f64 (/.f64 x y) 1))
0.3b	(*.f64 (/.f64 x y) (/.f64 x y))
0.5b	(.f64 x (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (*.f64 1 1)))
14.9b	(/.f64 (.f64 x (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 1 1))) (.f64 (+.f64 x 1) (-.f64 (/.f64 x y) 1)))

rewrite86.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`add-sqr-sqrt_binary64_23288`
44×	`*-un-lft-identity_binary64_23266` `times-frac_binary64_23272`
38×	`add-cube-cbrt_binary64_23301`
32×	`add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302`
27×	`associate-r_binary64_23206`
20×	`associate-l_binary64_23207`
15×	`pow1_binary64_23327`
13×	`swap-sqr_binary64_23233`
10×	`cbrt-unprod_binary64_23299` `prod-exp_binary64_23315`
9×	`associate-*r/_binary64_23208` `frac-times_binary64_23276`
8×	`div-exp_binary64_23317` `cbrt-undiv_binary64_23300` `flip--_binary64_23241` `flip3--_binary64_23270` `associate-/r/_binary64_23212` `cancel-sign-sub-inv_binary64_23232`
6×	`distribute-rgt-in_binary64_23216` `flip-+_binary64_23240` `unswap-sqr_binary64_23234` `distribute-lft-in_binary64_23215` `flip3-+_binary64_23269`
5×	`difference-of-squares_binary64_23235` `div-inv_binary64_23263` `associate-*l/_binary64_23209`
4×	`sub-neg_binary64_23259` `add-log-exp_binary64_23305`
3×	`*-commutative_binary64_23197` `pow-prod-down_binary64_23337`
2×	`difference-of-sqr-1_binary64_23236` `associate-/l/_binary64_23213`
1×	`pow-prod-up_binary64_23336` `pow-sqr_binary64_23239` `frac-2neg_binary64_23277` `clear-num_binary64_23265` `distribute-lft-out_binary64_23217` `distribute-lft-out--_binary64_23218` `associate-/r_binary64_23210` `associate-/l_binary64_23211` `pow-plus_binary64_23329` `pow2_binary64_23347`

Counts

4 → 165

Calls

4 calls:

23.0ms	(/.f64 (.f64 x (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 1 1))) (.f64 (+.f64 x 1) (-.f64 (/.f64 x y) 1)))
17.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
15.0ms	(*.f64 (+.f64 x 1) (-.f64 (/.f64 x y) 1))
12.0ms	(.f64 x (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (*.f64 1 1)))

series570.0ms (14.4%)

Counts

4 → 49

Calls

4 calls:

172.0ms	(/.f64 (.f64 x (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 1 1))) (.f64 (+.f64 x 1) (-.f64 (/.f64 x y) 1)))
171.0ms	(.f64 x (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (*.f64 1 1)))
136.0ms	(*.f64 (+.f64 x 1) (-.f64 (/.f64 x y) 1))
90.0ms	(*.f64 (/.f64 x y) (/.f64 x y))

Compiler

Compiled 1547 to 1190 computations (23.1% saved)

simplify98.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5008	3337

prune251.0ms (6.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	213	7	220

Merged error: 0b

Counts

220 → 7

Compiler

Compiled 5420 to 2884 computations (46.8% saved)

regimes180.0ms (4.5%)

Compiler: Compiled 1777 to 1327 computations (25.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	16
1	12	16

end0.0ms (0%)

sample960.0ms (24.2%)

Algorithm

1×

intervals

Results

287.0ms	8000×	body	128	valid
9.0ms	260×	body	128	invalid

Compiler

Compiled 583 to 438 computations (24.9% saved)

Details

analyze130.0ms (3.3%)

sample20.0ms (0.5%)

simplify197.0ms (5%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite28.0ms (0.7%)

series173.0ms (4.3%)

simplify73.0ms (1.8%)

prune75.0ms (1.9%)

localize9.0ms (0.2%)

rewrite43.0ms (1.1%)

series195.0ms (4.9%)

simplify103.0ms (2.6%)

prune182.0ms (4.6%)

localize8.0ms (0.2%)

rewrite53.0ms (1.3%)

series295.0ms (7.4%)

simplify62.0ms (1.6%)

prune157.0ms (3.9%)

localize11.0ms (0.3%)

rewrite86.0ms (2.2%)

series570.0ms (14.4%)

simplify98.0ms (2.5%)

prune251.0ms (6.3%)

regimes180.0ms (4.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample960.0ms (24.2%)

Profiling