Details

analyze10.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
62.5%	37.5%	0%	4
81.2%	18.7%	0%	5
90.6%	9.4%	0%	6
95.3%	4.7%	0%	7
97.6%	2.3%	0%	8
98.8%	1.2%	0%	9
99.4%	0.6%	0%	10
99.7%	0.3%	0%	11
99.8%	0.1%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms	69×	body	512	valid
5.0ms	148×	body	128	valid
1.0ms	30×	body	256	valid
1.0ms	9×	body	1024	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify172.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	73	13
1	73	13

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: 15.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
2.5b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite39.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`*-un-lft-identity_binary64_79`
46×	`add-sqr-sqrt_binary64_101`
45×	`times-frac_binary64_85`
22×	`add-cube-cbrt_binary64_114`
13×	`cancel-sign-sub-inv_binary64_45`
10×	`distribute-lft-out--_binary64_31`
9×	`difference-of-squares_binary64_48`
7×	`distribute-lft-out_binary64_30`
6×	`add-exp-log_binary64_117` `div-inv_binary64_76`
4×	`associate-/r*_binary64_23` `add-cbrt-cube_binary64_115` `add-log-exp_binary64_118`
3×	`associate-/l*_binary64_24` `pow1_binary64_140`
2×	`div-exp_binary64_130` `associate-/r/_binary64_25`
1×	`cbrt-undiv_binary64_113` `flip-+_binary64_53` `1-exp_binary64_123` `rec-exp_binary64_129` `flip--_binary64_54` `frac-sub_binary64_88` `inv-pow_binary64_164` `diff-log_binary64_171` `clear-num_binary64_78` `flip3--_binary64_83` `flip3-+_binary64_82` `sub-neg_binary64_72` `frac-2neg_binary64_90` `pow-flip_binary64_153`

Counts

2 → 81

Calls

2 calls:

26.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
6.0ms	(/.f64 1 (+.f64 x 1))

series46.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

29.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
17.0ms	(/.f64 1 (+.f64 x 1))

simplify88.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	6006	1244

prune96.0ms (3.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	3	88

Merged error: 0.0b

Counts

88 → 3

Compiler

Compiled 1523 to 1227 computations (19.4% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 1 x))
0.4b	(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite17.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115`
8×	`add-sqr-sqrt_binary64_101` `*-un-lft-identity_binary64_79`
6×	`add-cube-cbrt_binary64_114`
4×	`associate-r/_binary64_21` `pow1_binary64_140` `associate-r*_binary64_19`
3×	`associate-l_binary64_20` `times-frac_binary64_85` `associate-/l*_binary64_24`
2×	`cbrt-undiv_binary64_113` `div-exp_binary64_130` `flip-+_binary64_53` `cbrt-unprod_binary64_112` `prod-exp_binary64_128` `associate-/r/_binary64_25` `add-log-exp_binary64_118` `flip3-+_binary64_82`
1×	`associate-/r_binary64_23` `div-inv_binary64_76` `distribute-lft-in_binary64_28` `unswap-sqr_binary64_47` `-commutative_binary64_10` `pow-prod-down_binary64_150` `clear-num_binary64_78` `distribute-rgt-in_binary64_29` `distribute-lft-out_binary64_30` `frac-2neg_binary64_90`

Counts

2 → 46

Calls

2 calls:

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

series84.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

60.0ms	(*.f64 x (+.f64 1 x))
24.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

simplify84.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4948	553
1	4948	553

prune75.0ms (3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	51	4	55

Merged error: 0.0b

Counts

55 → 4

Compiler

Compiled 1074 to 840 computations (21.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`times-frac_binary64_85`
78×	`*-un-lft-identity_binary64_79`
50×	`add-cube-cbrt_binary64_114` `add-sqr-sqrt_binary64_101`
14×	`distribute-lft-out_binary64_30`
13×	`associate-/l*_binary64_24`
6×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115` `div-inv_binary64_76`
4×	`associate-/r*_binary64_23`
3×	`cbrt-undiv_binary64_113` `div-exp_binary64_130`
2×	`associate-/r/_binary64_25`
1×	`flip-+_binary64_53` `add-log-exp_binary64_118` `clear-num_binary64_78` `associate-/l/_binary64_26` `flip3-+_binary64_82` `frac-2neg_binary64_90` `pow1_binary64_140`

Counts

1 → 86

Calls

1 calls:

9.0ms

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

series24.0ms (1%)

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify80.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4924	1864
1	4924	1864

prune163.0ms (6.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	86	7	93

Merged error: 0.0b

Counts

93 → 7

Compiler

Compiled 2630 to 1986 computations (24.5% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite17.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_110`
23×	`add-sqr-sqrt_binary64_101`
15×	`add-cube-cbrt_binary64_114` `*-un-lft-identity_binary64_79`
11×	`pow1_binary64_140`
9×	`pow1/3_binary64_161`
6×	`add-exp-log_binary64_117` `associate-l_binary64_20` `swap-sqr_binary64_46` `associate-r_binary64_19`
4×	`add-cbrt-cube_binary64_115` `unswap-sqr_binary64_47` `add-log-exp_binary64_118`
2×	`pow-prod-up_binary64_149` `pow-sqr_binary64_52` `pow-prod-down_binary64_150`
1×	`cbrt-unprod_binary64_112` `prod-exp_binary64_128` `*-commutative_binary64_10` `pow-plus_binary64_142` `pow2_binary64_160`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series667.0ms (26.9%)

Counts

4 → 12

Calls

4 calls:

191.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
176.0ms	(cbrt.f64 x)
154.0ms	(cbrt.f64 x)
145.0ms	(cbrt.f64 x)

simplify54.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5245	563

prune105.0ms (4.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

Compiler

Compiled 1962 to 1201 computations (38.8% saved)

regimes15.0ms (0.6%)

Compiler: Compiled 95 to 76 computations (20% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample580.0ms (23.4%)

Algorithm

1×

intervals

Results

140.0ms	2014×	body	512	valid
118.0ms	4510×	body	128	valid
53.0ms	1064×	body	256	valid
39.0ms	412×	body	1024	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 110 to 90 computations (18.2% saved)

Details

analyze10.0ms (0.4%)

sample17.0ms (0.7%)

simplify172.0ms (6.9%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite39.0ms (1.6%)

series46.0ms (1.9%)

simplify88.0ms (3.6%)

prune96.0ms (3.9%)

localize4.0ms (0.2%)

rewrite17.0ms (0.7%)

series84.0ms (3.4%)

simplify84.0ms (3.4%)

prune75.0ms (3%)

localize4.0ms (0.2%)

rewrite19.0ms (0.8%)

series24.0ms (1%)

simplify80.0ms (3.2%)

prune163.0ms (6.6%)

localize10.0ms (0.4%)

rewrite17.0ms (0.7%)

series667.0ms (26.9%)

simplify54.0ms (2.2%)

prune105.0ms (4.3%)

regimes15.0ms (0.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample580.0ms (23.4%)

Profiling