Details

analyze322.0ms (7.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	64
1	263	64
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
43.7%	56.2%	0.1%	8
62.4%	37.4%	0.1%	9
65.5%	34.3%	0.1%	10
71.8%	27.7%	0.5%	11
79.2%	19.7%	1.1%	12
80.2%	18.7%	1.1%	13
82.8%	15%	2.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	18×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	111	16
1	111	16

prune3.0ms (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

Error

8.9b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.6b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
5.0b	(.f64 y (+.f64 1 (.f64 z z)))

rewrite21.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`times-frac_binary64_10655`
26×	`add-exp-log_binary64_10687`
20×	`add-sqr-sqrt_binary64_10671`
18×	`*-un-lft-identity_binary64_10649` `add-cube-cbrt_binary64_10684`
16×	`add-cbrt-cube_binary64_10685`
13×	`associate-/l*_binary64_10594`
12×	`div-exp_binary64_10700`
6×	`cbrt-undiv_binary64_10683`
5×	`prod-exp_binary64_10698`
4×	`pow1_binary64_10710` `associate-*r/_binary64_10591`
3×	`cbrt-unprod_binary64_10682` `div-inv_binary64_10646` `associate-r_binary64_10589` `associate-l_binary64_10590`
2×	`add-log-exp_binary64_10688` `associate-/r/_binary64_10595` `flip-+_binary64_10623` `1-exp_binary64_10693` `rec-exp_binary64_10699` `flip3-+_binary64_10652`
1×	`associate-/r_binary64_10593` `pow-prod-down_binary64_10720` `clear-num_binary64_10648` `unswap-sqr_binary64_10617` `-commutative_binary64_10580` `distribute-rgt-in_binary64_10599` `frac-2neg_binary64_10660` `distribute-lft-in_binary64_10598` `associate-/l/_binary64_10596`

Counts

2 → 74

Calls

2 calls:

9.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
6.0ms	(.f64 y (+.f64 1 (.f64 z z)))

series90.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

51.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
39.0ms	(.f64 y (+.f64 1 (.f64 z z)))

simplify74.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5190	1317

prune98.0ms (2.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	71	9	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	9	81

Error

6.2b

Counts

81 → 9

Compiler

Compiled 1401 to 859 computations (38.7% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

3.9b	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
4.7b	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

rewrite58.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

173×	`times-frac_binary64_10655`
126×	`add-sqr-sqrt_binary64_10671`
93×	`*-un-lft-identity_binary64_10649`
86×	`add-cube-cbrt_binary64_10684`
76×	`add-exp-log_binary64_10687`
45×	`associate-r_binary64_10589`
40×	`div-exp_binary64_10700`
28×	`add-cbrt-cube_binary64_10685`
20×	`prod-exp_binary64_10698`
13×	`associate-/l_binary64_10594` `associate-l*_binary64_10590`
12×	`unswap-sqr_binary64_10617` `cbrt-undiv_binary64_10683`
10×	`1-exp_binary64_10693` `div-inv_binary64_10646` `rec-exp_binary64_10699`
6×	`cbrt-unprod_binary64_10682`
4×	`pow1_binary64_10710` `associate-/r/_binary64_10595`
3×	`associate-/r*_binary64_10593`
2×	`add-log-exp_binary64_10688` `flip-+_binary64_10623` `flip3-+_binary64_10652`
1×	`associate-l/_binary64_10592` `pow-prod-down_binary64_10720` `clear-num_binary64_10648` `-commutative_binary64_10580` `frac-2neg_binary64_10660` `associate-/l/_binary64_10596` `associate-*r/_binary64_10591` `frac-times_binary64_10659`

Counts

2 → 182

Calls

2 calls:

30.0ms	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
8.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

series98.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

49.0ms	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
48.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

simplify112.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4919	4277
1	4919	4277

prune222.0ms (5.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	184	4	188
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	186	11	197

Error

6.2b

Counts

197 → 11

Compiler

Compiled 4187 to 2595 computations (38% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

3.9b	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z))) y)
4.7b	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

rewrite60.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

474×	`times-frac_binary64_10655`
230×	`*-un-lft-identity_binary64_10649` `add-sqr-sqrt_binary64_10671` `add-cube-cbrt_binary64_10684`
58×	`associate-/l*_binary64_10594`
26×	`add-exp-log_binary64_10687`
22×	`div-inv_binary64_10646`
17×	`div-exp_binary64_10700`
16×	`add-cbrt-cube_binary64_10685`
10×	`associate-/r/_binary64_10595`
9×	`cbrt-undiv_binary64_10683`
6×	`associate-/r*_binary64_10593`
5×	`flip-+_binary64_10623` `flip3-+_binary64_10652`
2×	`add-log-exp_binary64_10688` `pow1_binary64_10710` `clear-num_binary64_10648` `frac-2neg_binary64_10660` `1-exp_binary64_10693` `rec-exp_binary64_10699` `associate-/l/_binary64_10596`

Counts

2 → 276

Calls

2 calls:

16.0ms	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z))) y)
8.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

series98.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

51.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))
48.0ms	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z))) y)

simplify145.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

282 → 282

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5115	8854

prune383.0ms (9.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	281	1	282
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	283	10	293

Error

6.2b

Counts

293 → 10

Compiler

Compiled 7076 to 4038 computations (42.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 1 (.f64 x (+.f64 1 (.f64 z z))))
3.9b	(/.f64 (/.f64 1 (.f64 x (+.f64 1 (.f64 z z)))) y)
4.6b	(.f64 x (+.f64 1 (.f64 z z)))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`times-frac_binary64_10655`
35×	`add-exp-log_binary64_10687`
27×	`add-sqr-sqrt_binary64_10671`
25×	`*-un-lft-identity_binary64_10649` `add-cube-cbrt_binary64_10684`
19×	`add-cbrt-cube_binary64_10685`
15×	`div-exp_binary64_10700`
12×	`associate-/l_binary64_10594` `associate-r/_binary64_10591`
10×	`associate-/r/_binary64_10595`
8×	`pow1_binary64_10710`
7×	`prod-exp_binary64_10698` `cbrt-undiv_binary64_10683`
6×	`flip-+_binary64_10623` `div-inv_binary64_10646` `flip3-+_binary64_10652`
4×	`associate-/r*_binary64_10593` `1-exp_binary64_10693` `rec-exp_binary64_10699`
3×	`cbrt-unprod_binary64_10682` `add-log-exp_binary64_10688` `associate-r_binary64_10589` `associate-l_binary64_10590`
2×	`pow-prod-down_binary64_10720` `clear-num_binary64_10648` `frac-2neg_binary64_10660` `pow-flip_binary64_10723`
1×	`unswap-sqr_binary64_10617` `*-commutative_binary64_10580` `distribute-rgt-in_binary64_10599` `inv-pow_binary64_10734` `distribute-lft-in_binary64_10598` `associate-/l/_binary64_10596`

Counts

3 → 112

Calls

3 calls:

8.0ms	(/.f64 (/.f64 1 (.f64 x (+.f64 1 (.f64 z z)))) y)
6.0ms	(/.f64 1 (.f64 x (+.f64 1 (.f64 z z))))
5.0ms	(.f64 x (+.f64 1 (.f64 z z)))

series142.0ms (3.4%)

Counts

3 → 9

Calls

3 calls:

54.0ms	(/.f64 1 (.f64 x (+.f64 1 (.f64 z z))))
49.0ms	(/.f64 (/.f64 1 (.f64 x (+.f64 1 (.f64 z z)))) y)
39.0ms	(.f64 x (+.f64 1 (.f64 z z)))

simplify97.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4959	2211
1	4959	2211

prune99.0ms (2.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	121	10	131

Error

6.2b

Counts

131 → 10

Compiler

Compiled 2021 to 1172 computations (42% saved)

regimes708.0ms (17%)

Accuracy

Total 0.2b remaining (3.5%)

Threshold costs 0.2b (3.5%)

Compiler

Compiled 6271 to 5220 computations (16.8% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	69
1	27	69

Compiler

Compiled 94 to 68 computations (27.7% saved)

end0.0ms (0%)

sample1.2s (29.5%)

Algorithm

1×

intervals

Results

294.0ms	8000×	body	128	valid
18.0ms	448×	body	128	invalid

Compiler

Compiled 795 to 648 computations (18.5% saved)

Details

analyze322.0ms (7.7%)

sample19.0ms (0.5%)

simplify9.0ms (0.2%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite21.0ms (0.5%)

series90.0ms (2.2%)

simplify74.0ms (1.8%)

prune98.0ms (2.4%)

localize9.0ms (0.2%)

rewrite58.0ms (1.4%)

series98.0ms (2.3%)

simplify112.0ms (2.7%)

prune222.0ms (5.3%)

localize11.0ms (0.3%)

rewrite60.0ms (1.4%)

series98.0ms (2.4%)

simplify145.0ms (3.5%)

prune383.0ms (9.2%)

localize7.0ms (0.2%)

rewrite28.0ms (0.7%)

series142.0ms (3.4%)

simplify97.0ms (2.3%)

prune99.0ms (2.4%)

regimes708.0ms (17%)

bsearch2.0ms (0%)

simplify7.0ms (0.2%)

end0.0ms (0%)

sample1.2s (29.5%)

Profiling