Details

analyze1.0s (6.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

1591×	`associate-+l+_binary64_12287`
952×	`associate-+r+_binary64_12286`
705×	`div-sub_binary64_12359`
693×	`unsub-neg_binary64_12348`
588×	`distribute-rgt-in_binary64_12304`
548×	`sub-neg_binary64_12347`
510×	`times-frac_binary64_12360`
358×	`distribute-neg-out_binary64_12316`
316×	`distribute-lft-in_binary64_12303`
276×	`cancel-sign-sub-inv_binary64_12320`
273×	`distribute-neg-in_binary64_12315`
236×	`associate-/l*_binary64_12299`
179×	`associate-/r*_binary64_12298`
176×	`+-commutative_binary64_12284`
167×	`distribute-lft-neg-in_binary64_12311`
154×	`distribute-rgt-neg-in_binary64_12312` `associate-+r-_binary64_12288`
141×	`associate--r+_binary64_12290`
125×	`distribute-neg-frac_binary64_12318`
121×	`associate--r-_binary64_12293`
115×	`associate-r_binary64_12294`
102×	`associate--l+_binary64_12291`
95×	`neg-sub0_binary64_12349`
89×	`neg-mul-1_binary64_12350` `cancel-sign-sub_binary64_12319`
83×	`*-commutative_binary64_12285`
82×	`associate-+l-_binary64_12289`
71×	`distribute-lft-neg-out_binary64_12313`
59×	`associate-l_binary64_12295`
58×	`distribute-frac-neg_binary64_12317`
46×	`associate--l-_binary64_12292`
44×	`associate-/r/_binary64_12300`
38×	`distribute-rgt-neg-out_binary64_12314` `associate-*l/_binary64_12297`
32×	`associate-/l/_binary64_12301` `associate-*r/_binary64_12296`
31×	`distribute-lft-out--_binary64_12306`
30×	`*-rgt-identity_binary64_12344`
23×	`remove-double-neg_binary64_12342`
22×	`sub0-neg_binary64_12341`
21×	`--rgt-identity_binary64_12340` `distribute-lft-out_binary64_12305`
20×	`mul0-rgt_binary64_12337` `mul0-lft_binary64_12336`
18×	`div0_binary64_12335`
16×	`log-prod_binary64_12440` `distribute-rgt-out--_binary64_12308`
14×	`*-lft-identity_binary64_12343`
13×	`+-rgt-identity_binary64_12339`
12×	`/-rgt-identity_binary64_12345` `distribute-rgt-out_binary64_12307`
11×	`distribute-rgt1-in_binary64_12310`
10×	`+-lft-identity_binary64_12338`
4×	`distribute-lft1-in_binary64_12309`
2×	`*-inverses_binary64_12334` `remove-double-div_binary64_12330` `count-2_binary64_12302`
1×	`1-exp_binary64_12398`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_12617` `erf-erfc_binary64_12616` `erf-odd_binary64_12615` `if-if-and-not_binary64_12614` `if-if-and_binary64_12613` `if-if-or-not_binary64_12612` `if-if-or_binary64_12611` `if-not_binary64_12610` `if-same_binary64_12609` `if-false_binary64_12608` `if-true_binary64_12607` `not-gte_binary64_12606` `not-lte_binary64_12605` `not-gt_binary64_12604` `not-lt_binary64_12603` `gte-same_binary64_12602` `lte-same_binary64_12601` `gt-same_binary64_12600` `lt-same_binary64_12599` `sinh---cosh_binary64_12546` `sinh-+-cosh_binary64_12545` `sinh-cosh_binary64_12544` `tanh-def-c_binary64_12543` `tanh-def-b_binary64_12542` `tanh-def-a_binary64_12541` `cosh-def_binary64_12540` `sinh-def_binary64_12539` `tan-neg_binary64_12486` `cos-neg_binary64_12485` `sin-neg_binary64_12484` `tan-0_binary64_12483` `cos-0_binary64_12482` `sin-0_binary64_12481` `hang-m-tan_binary64_12480` `hang-p-tan_binary64_12479` `hang-m0-tan_binary64_12478` `hang-p0-tan_binary64_12477` `hang-0m-tan_binary64_12476` `hang-0p-tan_binary64_12475` `tan-+PI/2_binary64_12474` `tan-+PI_binary64_12473` `tan-PI_binary64_12472` `tan-PI/3_binary64_12471` `tan-PI/4_binary64_12470` `tan-PI/6_binary64_12469` `cos-+PI/2_binary64_12468` `cos-+PI_binary64_12467` `cos-PI_binary64_12466` `cos-PI/2_binary64_12465` `cos-PI/3_binary64_12464` `cos-PI/4_binary64_12463` `cos-PI/6_binary64_12462` `sin-+PI/2_binary64_12461` `sin-+PI_binary64_12460` `sin-PI_binary64_12459` `sin-PI/2_binary64_12458` `sin-PI/3_binary64_12457` `sin-PI/4_binary64_12456` `sin-PI/6_binary64_12455` `sub-1-sin_binary64_12454` `sub-1-cos_binary64_12453` `-1-add-sin_binary64_12452` `-1-add-cos_binary64_12451` `1-sub-sin_binary64_12450` `1-sub-cos_binary64_12449` `cos-sin-sum_binary64_12448` `log-E_binary64_12444` `log-pow_binary64_12443` `log-rec_binary64_12442` `log-div_binary64_12441` `pow-base-0_binary64_12438` `unpow1/3_binary64_12421` `unpow3_binary64_12420` `unpow2_binary64_12419` `unpow1/2_binary64_12418` `pow-plus_binary64_12417` `exp-to-pow_binary64_12416` `pow-base-1_binary64_12414` `unpow0_binary64_12413` `unpow1_binary64_12412` `unpow-1_binary64_12411` `exp-lft-cube_binary64_12410` `exp-lft-sqr_binary64_12409` `exp-cbrt_binary64_12408` `exp-sqrt_binary64_12407` `exp-prod_binary64_12406` `div-exp_binary64_12405` `rec-exp_binary64_12404` `prod-exp_binary64_12403` `exp-diff_binary64_12402` `exp-neg_binary64_12401` `exp-sum_binary64_12400` `e-exp-1_binary64_12399` `exp-1-e_binary64_12397` `exp-0_binary64_12396` `rem-log-exp_binary64_12395` `rem-exp-log_binary64_12394` `cube-unmult_binary64_12391` `cube-mult_binary64_12384` `cube-div_binary64_12383` `cube-prod_binary64_12382` `cube-neg_binary64_12381` `rem-3cbrt-rft_binary64_12380` `rem-3cbrt-lft_binary64_12379` `rem-cbrt-cube_binary64_12378` `rem-cube-cbrt_binary64_12377` `sqr-abs_binary64_12369` `sqr-neg_binary64_12368` `rem-sqrt-square_binary64_12367` `rem-square-sqrt_binary64_12366` `mul-1-neg_binary64_12346` `+-inverses_binary64_12333` `lft-mult-inverse_binary64_12332` `rgt-mult-inverse_binary64_12331` `pow-sqr_binary64_12327` `sqr-pow_binary64_12326` `difference-of-sqr--1_binary64_12325` `difference-of-sqr-1_binary64_12324` `difference-of-squares_binary64_12323` `unswap-sqr_binary64_12322` `swap-sqr_binary64_12321`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	38	36
2	71	36
3	148	36
4	268	36
5	557	36
6	1211	36
7	2023	36
8	1614	36
9	1779	36
10	1989	36
11	2146	36
12	2463	36
13	3220	36
14	2799	36
15	2804	36
16	2804	36
17	2822	36
18	2822	36
19	2824	36
20	2824	36
21	4772	36
22	4856	36
0	2	2
1	2	2

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
6.2%	93.7%	0.1%	5
6.2%	90.5%	3.2%	6
21.9%	67.1%	11%	7
23.4%	64.8%	11.8%	8
32%	52.7%	15.3%	9
33.2%	51.3%	15.5%	10
37.7%	45.2%	17.2%	11
38.3%	44.4%	17.2%	12
40.6%	41.3%	18%	13
41%	41%	18%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample48.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	188×	body	128	valid
6.0ms	29×	body	1024	valid
6.0ms	33×	body	1024	nan
4.0ms	26×	body	512	valid
3.0ms	22×	body	512	nan
1.0ms	20×	body	128	nan
1.0ms	12×	body	256	nan
1.0ms	10×	body	256	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify343.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

3857×	`associate--r-_binary64_12293`
1008×	`unsub-neg_binary64_12348`
480×	`sub-neg_binary64_12347`
461×	`cancel-sign-sub-inv_binary64_12320`
388×	`div-sub_binary64_12359`
301×	`distribute-neg-in_binary64_12315`
286×	`times-frac_binary64_12360` `distribute-rgt-in_binary64_12304`
228×	`distribute-lft-in_binary64_12303`
186×	`+-commutative_binary64_12284`
160×	`distribute-rgt-neg-in_binary64_12312`
151×	`associate-r_binary64_12294`
147×	`associate-/l*_binary64_12299`
140×	`associate--l+_binary64_12291`
133×	`neg-sub0_binary64_12349`
125×	`associate--r+_binary64_12290`
123×	`distribute-lft-neg-in_binary64_12311`
120×	`associate-+l-_binary64_12289`
118×	`neg-mul-1_binary64_12350`
114×	`*-commutative_binary64_12285`
112×	`associate-/r*_binary64_12298`
95×	`cancel-sign-sub_binary64_12319`
89×	`distribute-neg-out_binary64_12316`
88×	`distribute-lft-neg-out_binary64_12313`
81×	`associate--l-_binary64_12292`
77×	`distribute-rgt-neg-out_binary64_12314`
71×	`associate-/r/_binary64_12300`
67×	`distribute-neg-frac_binary64_12318`
57×	`--rgt-identity_binary64_12340`
48×	`associate-/l/_binary64_12301`
45×	`associate-+r+_binary64_12286`
44×	`associate-+l+_binary64_12287`
43×	`associate-+r-_binary64_12288`
40×	`remove-double-neg_binary64_12342`
37×	`distribute-rgt-out_binary64_12307`
33×	`associate-l_binary64_12295`
30×	`*-lft-identity_binary64_12343` `distribute-frac-neg_binary64_12317`
27×	`distribute-rgt1-in_binary64_12310`
26×	`associate-*l/_binary64_12297`
22×	`*-rgt-identity_binary64_12344`
21×	`distribute-rgt-out--_binary64_12308`
17×	`distribute-lft1-in_binary64_12309` `associate-*r/_binary64_12296`
16×	`mul0-rgt_binary64_12337`
15×	`sub0-neg_binary64_12341`
13×	`div0_binary64_12335` `distribute-lft-out--_binary64_12306`
12×	`mul0-lft_binary64_12336`
10×	`+-lft-identity_binary64_12338`
8×	`log-prod_binary64_12440` `/-rgt-identity_binary64_12345`
4×	`+-rgt-identity_binary64_12339`
3×	`count-2_binary64_12302`
1×	`1-exp_binary64_12398` `mul-1-neg_binary64_12346` `*-inverses_binary64_12334` `remove-double-div_binary64_12330`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_12617` `erf-erfc_binary64_12616` `erf-odd_binary64_12615` `if-if-and-not_binary64_12614` `if-if-and_binary64_12613` `if-if-or-not_binary64_12612` `if-if-or_binary64_12611` `if-not_binary64_12610` `if-same_binary64_12609` `if-false_binary64_12608` `if-true_binary64_12607` `not-gte_binary64_12606` `not-lte_binary64_12605` `not-gt_binary64_12604` `not-lt_binary64_12603` `gte-same_binary64_12602` `lte-same_binary64_12601` `gt-same_binary64_12600` `lt-same_binary64_12599` `sinh---cosh_binary64_12546` `sinh-+-cosh_binary64_12545` `sinh-cosh_binary64_12544` `tanh-def-c_binary64_12543` `tanh-def-b_binary64_12542` `tanh-def-a_binary64_12541` `cosh-def_binary64_12540` `sinh-def_binary64_12539` `tan-neg_binary64_12486` `cos-neg_binary64_12485` `sin-neg_binary64_12484` `tan-0_binary64_12483` `cos-0_binary64_12482` `sin-0_binary64_12481` `hang-m-tan_binary64_12480` `hang-p-tan_binary64_12479` `hang-m0-tan_binary64_12478` `hang-p0-tan_binary64_12477` `hang-0m-tan_binary64_12476` `hang-0p-tan_binary64_12475` `tan-+PI/2_binary64_12474` `tan-+PI_binary64_12473` `tan-PI_binary64_12472` `tan-PI/3_binary64_12471` `tan-PI/4_binary64_12470` `tan-PI/6_binary64_12469` `cos-+PI/2_binary64_12468` `cos-+PI_binary64_12467` `cos-PI_binary64_12466` `cos-PI/2_binary64_12465` `cos-PI/3_binary64_12464` `cos-PI/4_binary64_12463` `cos-PI/6_binary64_12462` `sin-+PI/2_binary64_12461` `sin-+PI_binary64_12460` `sin-PI_binary64_12459` `sin-PI/2_binary64_12458` `sin-PI/3_binary64_12457` `sin-PI/4_binary64_12456` `sin-PI/6_binary64_12455` `sub-1-sin_binary64_12454` `sub-1-cos_binary64_12453` `-1-add-sin_binary64_12452` `-1-add-cos_binary64_12451` `1-sub-sin_binary64_12450` `1-sub-cos_binary64_12449` `cos-sin-sum_binary64_12448` `log-E_binary64_12444` `log-pow_binary64_12443` `log-rec_binary64_12442` `log-div_binary64_12441` `pow-base-0_binary64_12438` `unpow1/3_binary64_12421` `unpow3_binary64_12420` `unpow2_binary64_12419` `unpow1/2_binary64_12418` `pow-plus_binary64_12417` `exp-to-pow_binary64_12416` `pow-base-1_binary64_12414` `unpow0_binary64_12413` `unpow1_binary64_12412` `unpow-1_binary64_12411` `exp-lft-cube_binary64_12410` `exp-lft-sqr_binary64_12409` `exp-cbrt_binary64_12408` `exp-sqrt_binary64_12407` `exp-prod_binary64_12406` `div-exp_binary64_12405` `rec-exp_binary64_12404` `prod-exp_binary64_12403` `exp-diff_binary64_12402` `exp-neg_binary64_12401` `exp-sum_binary64_12400` `e-exp-1_binary64_12399` `exp-1-e_binary64_12397` `exp-0_binary64_12396` `rem-log-exp_binary64_12395` `rem-exp-log_binary64_12394` `cube-unmult_binary64_12391` `cube-mult_binary64_12384` `cube-div_binary64_12383` `cube-prod_binary64_12382` `cube-neg_binary64_12381` `rem-3cbrt-rft_binary64_12380` `rem-3cbrt-lft_binary64_12379` `rem-cbrt-cube_binary64_12378` `rem-cube-cbrt_binary64_12377` `sqr-abs_binary64_12369` `sqr-neg_binary64_12368` `rem-sqrt-square_binary64_12367` `rem-square-sqrt_binary64_12366` `+-inverses_binary64_12333` `lft-mult-inverse_binary64_12332` `rgt-mult-inverse_binary64_12331` `pow-sqr_binary64_12327` `sqr-pow_binary64_12326` `difference-of-sqr--1_binary64_12325` `difference-of-sqr-1_binary64_12324` `difference-of-squares_binary64_12323` `unswap-sqr_binary64_12322` `swap-sqr_binary64_12321` `distribute-lft-out_binary64_12305`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	22	18
2	39	18
3	81	18
4	151	18
5	294	18
6	569	18
7	1008	18
8	1045	18
9	1155	18
10	1512	18
11	1768	18
12	1990	18
13	2283	18
14	2412	18
15	2455	18
16	2455	18
17	2483	18
18	2487	18
19	2487	18
20	2487	18
21	2487	18
22	4202	18
23	4368	18
24	4392	18
25	4546	18
26	4671	18
27	4684	18
28	5144	18

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

18.2b

Counts

1 → 1

Compiler

Compiled 12 to 11 computations (8.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
2.4b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
2.9b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite348.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

15.2b

Rules

118×	`add-sqr-sqrt_binary64_12376`
107×	`*-un-lft-identity_binary64_12354`
66×	`times-frac_binary64_12360`
49×	`difference-of-squares_binary64_12323`
40×	`cancel-sign-sub-inv_binary64_12320`
32×	`add-cube-cbrt_binary64_12389`
29×	`distribute-lft-out--_binary64_12306`
16×	`log-prod_binary64_12440`
8×	`associate--r+_binary64_12290`
7×	`pow1_binary64_12415` `flip3--_binary64_12358` `flip--_binary64_12329` `add-exp-log_binary64_12392` `add-log-exp_binary64_12393`
6×	`add-cbrt-cube_binary64_12390` `associate-/r*_binary64_12298`
5×	`associate-/l*_binary64_12299`
4×	`log-div_binary64_12441` `associate-/r/_binary64_12300`
3×	`log-pow_binary64_12443` `associate--r-_binary64_12293`
2×	`diff-log_binary64_12446` `sub-neg_binary64_12347` `div-inv_binary64_12351` `div-sub_binary64_12359` `associate-/l/_binary64_12301`
1×	`rem-log-exp_binary64_12395` `div-exp_binary64_12405` `cbrt-undiv_binary64_12388` `frac-2neg_binary64_12365` `clear-num_binary64_12353`

Counts

4 → 159

Calls

4 calls:

22.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
19.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
17.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
10.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 3700 to 2380 computations (35.7% saved)

series1.5s (9.5%)

Error

0.0b

Counts

4 → 68

Calls

4 calls:

531.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
453.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
232.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
145.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 4796 to 3834 computations (20.1% saved)

simplify177.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

322×	`+-commutative_binary64_12284`
288×	`associate-+r+_binary64_12286`
241×	`associate-+l+_binary64_12287`
210×	`associate--l+_binary64_12291`
193×	`sub-neg_binary64_12347`
187×	`associate--r+_binary64_12290`
134×	`associate-/r*_binary64_12298`
127×	`*-commutative_binary64_12285`
119×	`associate-/l*_binary64_12299`
105×	`associate-*l/_binary64_12297`
104×	`neg-mul-1_binary64_12350`
103×	`neg-sub0_binary64_12349`
95×	`associate-*r/_binary64_12296`
91×	`times-frac_binary64_12360`
80×	`distribute-neg-in_binary64_12315`
72×	`associate-l_binary64_12295`
70×	`distribute-rgt-in_binary64_12304`
69×	`distribute-lft-in_binary64_12303`
68×	`associate-r_binary64_12294`
46×	`cancel-sign-sub-inv_binary64_12320`
45×	`distribute-lft-neg-out_binary64_12313`
41×	`div-sub_binary64_12359`
40×	`distribute-rgt-neg-in_binary64_12312`
39×	`distribute-neg-frac_binary64_12318`
38×	`exp-prod_binary64_12406`
36×	`associate-/l/_binary64_12301`
26×	`associate-+r-_binary64_12288`
23×	`log-prod_binary64_12440` `sqr-pow_binary64_12326` `distribute-rgt-neg-out_binary64_12314`
20×	`exp-sum_binary64_12400`
19×	`associate-+l-_binary64_12289`
17×	`log-div_binary64_12441` `distribute-lft-neg-in_binary64_12311`
12×	`associate-/r/_binary64_12300` `associate--r-_binary64_12293`
9×	`exp-diff_binary64_12402` `unsub-neg_binary64_12348`
8×	`distribute-rgt1-in_binary64_12310` `distribute-rgt-out_binary64_12307`
7×	`unpow3_binary64_12420`
6×	`log-pow_binary64_12443` `cube-prod_binary64_12382` `/-rgt-identity_binary64_12345` `*-lft-identity_binary64_12343` `swap-sqr_binary64_12321`
5×	`log-rec_binary64_12442` `unpow2_binary64_12419` `unpow1/2_binary64_12418` `unpow1_binary64_12412` `cube-mult_binary64_12384` `mul-1-neg_binary64_12346` `unswap-sqr_binary64_12322`
4×	`cube-div_binary64_12383`
3×	`prod-exp_binary64_12403` `*-rgt-identity_binary64_12344`
2×	`exp-to-pow_binary64_12416` `cube-unmult_binary64_12391` `rem-3cbrt-lft_binary64_12379` `rem-square-sqrt_binary64_12366` `remove-double-neg_binary64_12342` `distribute-lft1-in_binary64_12309` `distribute-lft-out_binary64_12305`
1×	`pow-plus_binary64_12417` `div-exp_binary64_12405` `1-exp_binary64_12398` `exp-1-e_binary64_12397` `rem-exp-log_binary64_12394` `distribute-neg-out_binary64_12316` `distribute-rgt-out--_binary64_12308` `count-2_binary64_12302` `associate--l-_binary64_12292`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_12617` `erf-erfc_binary64_12616` `erf-odd_binary64_12615` `if-if-and-not_binary64_12614` `if-if-and_binary64_12613` `if-if-or-not_binary64_12612` `if-if-or_binary64_12611` `if-not_binary64_12610` `if-same_binary64_12609` `if-false_binary64_12608` `if-true_binary64_12607` `not-gte_binary64_12606` `not-lte_binary64_12605` `not-gt_binary64_12604` `not-lt_binary64_12603` `gte-same_binary64_12602` `lte-same_binary64_12601` `gt-same_binary64_12600` `lt-same_binary64_12599` `sinh---cosh_binary64_12546` `sinh-+-cosh_binary64_12545` `sinh-cosh_binary64_12544` `tanh-def-c_binary64_12543` `tanh-def-b_binary64_12542` `tanh-def-a_binary64_12541` `cosh-def_binary64_12540` `sinh-def_binary64_12539` `tan-neg_binary64_12486` `cos-neg_binary64_12485` `sin-neg_binary64_12484` `tan-0_binary64_12483` `cos-0_binary64_12482` `sin-0_binary64_12481` `hang-m-tan_binary64_12480` `hang-p-tan_binary64_12479` `hang-m0-tan_binary64_12478` `hang-p0-tan_binary64_12477` `hang-0m-tan_binary64_12476` `hang-0p-tan_binary64_12475` `tan-+PI/2_binary64_12474` `tan-+PI_binary64_12473` `tan-PI_binary64_12472` `tan-PI/3_binary64_12471` `tan-PI/4_binary64_12470` `tan-PI/6_binary64_12469` `cos-+PI/2_binary64_12468` `cos-+PI_binary64_12467` `cos-PI_binary64_12466` `cos-PI/2_binary64_12465` `cos-PI/3_binary64_12464` `cos-PI/4_binary64_12463` `cos-PI/6_binary64_12462` `sin-+PI/2_binary64_12461` `sin-+PI_binary64_12460` `sin-PI_binary64_12459` `sin-PI/2_binary64_12458` `sin-PI/3_binary64_12457` `sin-PI/4_binary64_12456` `sin-PI/6_binary64_12455` `sub-1-sin_binary64_12454` `sub-1-cos_binary64_12453` `-1-add-sin_binary64_12452` `-1-add-cos_binary64_12451` `1-sub-sin_binary64_12450` `1-sub-cos_binary64_12449` `cos-sin-sum_binary64_12448` `log-E_binary64_12444` `pow-base-0_binary64_12438` `unpow1/3_binary64_12421` `pow-base-1_binary64_12414` `unpow0_binary64_12413` `unpow-1_binary64_12411` `exp-lft-cube_binary64_12410` `exp-lft-sqr_binary64_12409` `exp-cbrt_binary64_12408` `exp-sqrt_binary64_12407` `rec-exp_binary64_12404` `exp-neg_binary64_12401` `e-exp-1_binary64_12399` `exp-0_binary64_12396` `rem-log-exp_binary64_12395` `cube-neg_binary64_12381` `rem-3cbrt-rft_binary64_12380` `rem-cbrt-cube_binary64_12378` `rem-cube-cbrt_binary64_12377` `sqr-abs_binary64_12369` `sqr-neg_binary64_12368` `rem-sqrt-square_binary64_12367` `sub0-neg_binary64_12341` `--rgt-identity_binary64_12340` `+-rgt-identity_binary64_12339` `+-lft-identity_binary64_12338` `mul0-rgt_binary64_12337` `mul0-lft_binary64_12336` `div0_binary64_12335` `*-inverses_binary64_12334` `+-inverses_binary64_12333` `lft-mult-inverse_binary64_12332` `rgt-mult-inverse_binary64_12331` `remove-double-div_binary64_12330` `pow-sqr_binary64_12327` `difference-of-sqr--1_binary64_12325` `difference-of-sqr-1_binary64_12324` `difference-of-squares_binary64_12323` `cancel-sign-sub_binary64_12319` `distribute-frac-neg_binary64_12317` `distribute-lft-out--_binary64_12306`

Counts

227 → 150

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	460	6214
1	1335	6019
2	4866	6019
3	4979	6019

prune220.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	147	3	150
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	148	3	151

Error

0.0b

Counts

151 → 3

Compiler

Compiled 3740 to 2335 computations (37.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
0.0b	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.1b	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
2.4b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))

rewrite365.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

177×	`add-sqr-sqrt_binary64_12376`
145×	`*-un-lft-identity_binary64_12354`
124×	`times-frac_binary64_12360`
67×	`difference-of-squares_binary64_12323`
54×	`add-cube-cbrt_binary64_12389`
36×	`cancel-sign-sub-inv_binary64_12320`
32×	`distribute-lft-out--_binary64_12306`
30×	`log-prod_binary64_12440`
14×	`associate-/r*_binary64_12298`
13×	`add-exp-log_binary64_12392`
8×	`add-cbrt-cube_binary64_12390` `associate-/r/_binary64_12300` `associate-/l*_binary64_12299`
6×	`add-log-exp_binary64_12393` `flip3--_binary64_12358` `flip--_binary64_12329`
5×	`pow1_binary64_12415` `div-exp_binary64_12405`
4×	`div-inv_binary64_12351`
3×	`rem-log-exp_binary64_12395`
2×	`div-sub_binary64_12359` `e-exp-1_binary64_12399` `cbrt-undiv_binary64_12388` `frac-2neg_binary64_12365` `clear-num_binary64_12353` `associate-/l/_binary64_12301`
1×	`diff-log_binary64_12446` `sub-neg_binary64_12347` `associate--r-_binary64_12293` `log-pow_binary64_12443` `log-div_binary64_12441`

Counts

4 → 203

Calls

4 calls:

24.0ms	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
21.0ms	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
20.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
9.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 4869 to 2865 computations (41.2% saved)

series3.5s (22.2%)

Error

Counts

4 → 68

Calls

4 calls:

1.9s	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
907.0ms	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
234.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
167.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 9284 to 7169 computations (22.8% saved)

simplify277.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

686×	`times-frac_binary64_12360`
244×	`+-commutative_binary64_12284`
201×	`sub-neg_binary64_12347`
198×	`associate-+r+_binary64_12286`
161×	`*-commutative_binary64_12285`
129×	`associate-/r*_binary64_12298`
115×	`associate-*r/_binary64_12296`
105×	`associate-/l/_binary64_12301`
91×	`neg-sub0_binary64_12349`
90×	`log-div_binary64_12441`
87×	`neg-mul-1_binary64_12350`
77×	`distribute-rgt-in_binary64_12304`
76×	`distribute-lft-in_binary64_12303`
70×	`distribute-neg-in_binary64_12315`
47×	`div-sub_binary64_12359` `cancel-sign-sub-inv_binary64_12320`
44×	`sqr-pow_binary64_12326`
42×	`distribute-lft-neg-out_binary64_12313`
38×	`distribute-neg-frac_binary64_12318`
36×	`distribute-rgt-neg-in_binary64_12312`
34×	`associate-/l*_binary64_12299`
30×	`unswap-sqr_binary64_12322`
25×	`associate--l+_binary64_12291`
24×	`associate--r+_binary64_12290`
22×	`distribute-rgt-neg-out_binary64_12314`
17×	`distribute-rgt-out_binary64_12307`
14×	`distribute-lft-neg-in_binary64_12311`
13×	`log-prod_binary64_12440`
12×	`swap-sqr_binary64_12321`
9×	`log-rec_binary64_12442` `mul-1-neg_binary64_12346` `/-rgt-identity_binary64_12345`
7×	`unpow3_binary64_12420`
6×	`cube-mult_binary64_12384` `distribute-rgt1-in_binary64_12310` `associate-l_binary64_12295`
5×	`log-pow_binary64_12443` `unpow2_binary64_12419` `unpow1_binary64_12412` `*-lft-identity_binary64_12343`
4×	`prod-exp_binary64_12403` `cube-unmult_binary64_12391` `cube-div_binary64_12383` `cube-prod_binary64_12382` `distribute-lft-out_binary64_12305`
3×	`exp-sum_binary64_12400` `*-rgt-identity_binary64_12344`
2×	`exp-prod_binary64_12406` `exp-diff_binary64_12402` `distribute-lft1-in_binary64_12309` `associate-*l/_binary64_12297`
1×	`log-E_binary64_12444` `div-exp_binary64_12405` `rec-exp_binary64_12404` `e-exp-1_binary64_12399` `1-exp_binary64_12398` `rem-exp-log_binary64_12394` `rem-3cbrt-lft_binary64_12379` `rem-square-sqrt_binary64_12366` `unsub-neg_binary64_12348` `remove-double-neg_binary64_12342` `distribute-rgt-out--_binary64_12308` `count-2_binary64_12302` `associate-r_binary64_12294`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_12617` `erf-erfc_binary64_12616` `erf-odd_binary64_12615` `if-if-and-not_binary64_12614` `if-if-and_binary64_12613` `if-if-or-not_binary64_12612` `if-if-or_binary64_12611` `if-not_binary64_12610` `if-same_binary64_12609` `if-false_binary64_12608` `if-true_binary64_12607` `not-gte_binary64_12606` `not-lte_binary64_12605` `not-gt_binary64_12604` `not-lt_binary64_12603` `gte-same_binary64_12602` `lte-same_binary64_12601` `gt-same_binary64_12600` `lt-same_binary64_12599` `sinh---cosh_binary64_12546` `sinh-+-cosh_binary64_12545` `sinh-cosh_binary64_12544` `tanh-def-c_binary64_12543` `tanh-def-b_binary64_12542` `tanh-def-a_binary64_12541` `cosh-def_binary64_12540` `sinh-def_binary64_12539` `tan-neg_binary64_12486` `cos-neg_binary64_12485` `sin-neg_binary64_12484` `tan-0_binary64_12483` `cos-0_binary64_12482` `sin-0_binary64_12481` `hang-m-tan_binary64_12480` `hang-p-tan_binary64_12479` `hang-m0-tan_binary64_12478` `hang-p0-tan_binary64_12477` `hang-0m-tan_binary64_12476` `hang-0p-tan_binary64_12475` `tan-+PI/2_binary64_12474` `tan-+PI_binary64_12473` `tan-PI_binary64_12472` `tan-PI/3_binary64_12471` `tan-PI/4_binary64_12470` `tan-PI/6_binary64_12469` `cos-+PI/2_binary64_12468` `cos-+PI_binary64_12467` `cos-PI_binary64_12466` `cos-PI/2_binary64_12465` `cos-PI/3_binary64_12464` `cos-PI/4_binary64_12463` `cos-PI/6_binary64_12462` `sin-+PI/2_binary64_12461` `sin-+PI_binary64_12460` `sin-PI_binary64_12459` `sin-PI/2_binary64_12458` `sin-PI/3_binary64_12457` `sin-PI/4_binary64_12456` `sin-PI/6_binary64_12455` `sub-1-sin_binary64_12454` `sub-1-cos_binary64_12453` `-1-add-sin_binary64_12452` `-1-add-cos_binary64_12451` `1-sub-sin_binary64_12450` `1-sub-cos_binary64_12449` `cos-sin-sum_binary64_12448` `pow-base-0_binary64_12438` `unpow1/3_binary64_12421` `unpow1/2_binary64_12418` `pow-plus_binary64_12417` `exp-to-pow_binary64_12416` `pow-base-1_binary64_12414` `unpow0_binary64_12413` `unpow-1_binary64_12411` `exp-lft-cube_binary64_12410` `exp-lft-sqr_binary64_12409` `exp-cbrt_binary64_12408` `exp-sqrt_binary64_12407` `exp-neg_binary64_12401` `exp-1-e_binary64_12397` `exp-0_binary64_12396` `rem-log-exp_binary64_12395` `cube-neg_binary64_12381` `rem-3cbrt-rft_binary64_12380` `rem-cbrt-cube_binary64_12378` `rem-cube-cbrt_binary64_12377` `sqr-abs_binary64_12369` `sqr-neg_binary64_12368` `rem-sqrt-square_binary64_12367` `sub0-neg_binary64_12341` `--rgt-identity_binary64_12340` `+-rgt-identity_binary64_12339` `+-lft-identity_binary64_12338` `mul0-rgt_binary64_12337` `mul0-lft_binary64_12336` `div0_binary64_12335` `*-inverses_binary64_12334` `+-inverses_binary64_12333` `lft-mult-inverse_binary64_12332` `rgt-mult-inverse_binary64_12331` `remove-double-div_binary64_12330` `pow-sqr_binary64_12327` `difference-of-sqr--1_binary64_12325` `difference-of-sqr-1_binary64_12324` `difference-of-squares_binary64_12323` `cancel-sign-sub_binary64_12319` `distribute-frac-neg_binary64_12317` `distribute-neg-out_binary64_12316` `distribute-lft-out--_binary64_12306` `associate-/r/_binary64_12300` `associate--r-_binary64_12293` `associate--l-_binary64_12292` `associate-+l-_binary64_12289` `associate-+r-_binary64_12288` `associate-+l+_binary64_12287`

Counts

271 → 177

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	873	11138
1	2643	10940
2	4937	10940
3	4965	10940

prune371.0ms (2.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	178	2	180

Error

Counts

180 → 2

Compiler

Compiled 6310 to 3896 computations (38.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 x) y)
0.0b	(-.f64 (/.f64 E.f64 (-.f64 1 x)) (/.f64 E.f64 (/.f64 (-.f64 1 x) y)))
0.1b	(/.f64 E.f64 (-.f64 1 x))
0.8b	(/.f64 E.f64 (/.f64 (-.f64 1 x) y))

rewrite788.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

315×	`times-frac_binary64_12360`
254×	`add-sqr-sqrt_binary64_12376`
250×	`*-un-lft-identity_binary64_12354`
146×	`add-cube-cbrt_binary64_12389`
71×	`cancel-sign-sub-inv_binary64_12320`
64×	`difference-of-squares_binary64_12323`
40×	`distribute-lft-out--_binary64_12306`
31×	`associate-/r*_binary64_12298`
17×	`add-exp-log_binary64_12392`
13×	`add-cbrt-cube_binary64_12390` `div-inv_binary64_12351`
12×	`associate-/l*_binary64_12299`
9×	`div-exp_binary64_12405`
6×	`add-log-exp_binary64_12393`
5×	`cbrt-undiv_binary64_12388`
4×	`pow1_binary64_12415` `associate-/r/_binary64_12300`
3×	`e-exp-1_binary64_12399` `frac-2neg_binary64_12365` `clear-num_binary64_12353` `flip3--_binary64_12358` `flip--_binary64_12329`
2×	`associate-/l/_binary64_12301`
1×	`diff-log_binary64_12446` `frac-sub_binary64_12363` `sub-neg_binary64_12347` `div-sub_binary64_12359`

Counts

4 → 289

Calls

4 calls:

88.0ms	(-.f64 (/.f64 E.f64 (-.f64 1 x)) (/.f64 E.f64 (/.f64 (-.f64 1 x) y)))
9.0ms	(/.f64 E.f64 (/.f64 (-.f64 1 x) y))
7.0ms	(/.f64 (-.f64 1 x) y)
6.0ms	(/.f64 E.f64 (-.f64 1 x))

Compiler

Compiled 7301 to 4445 computations (39.1% saved)

series595.0ms (3.8%)

Error

Counts

4 → 45

Calls

4 calls:

234.0ms	(-.f64 (/.f64 E.f64 (-.f64 1 x)) (/.f64 E.f64 (/.f64 (-.f64 1 x) y)))
155.0ms	(/.f64 E.f64 (/.f64 (-.f64 1 x) y))
111.0ms	(/.f64 (-.f64 1 x) y)
50.0ms	(/.f64 E.f64 (-.f64 1 x))

Compiler

Compiled 2066 to 1371 computations (33.6% saved)

simplify281.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

352×	`associate-*l/_binary64_12297`
298×	`*-commutative_binary64_12285`
264×	`div-sub_binary64_12359`
260×	`associate-*r/_binary64_12296`
252×	`associate-/r/_binary64_12300`
179×	`associate-r_binary64_12294`
177×	`associate-/l/_binary64_12301`
176×	`associate-/l*_binary64_12299`
163×	`associate-l_binary64_12295`
133×	`exp-prod_binary64_12406`
127×	`neg-sub0_binary64_12349`
124×	`neg-mul-1_binary64_12350`
114×	`sub-neg_binary64_12347`
101×	`distribute-rgt-neg-in_binary64_12312`
97×	`distribute-lft-neg-out_binary64_12313`
85×	`distribute-neg-frac_binary64_12318`
64×	`cancel-sign-sub-inv_binary64_12320` `associate-/r*_binary64_12298` `+-commutative_binary64_12284`
56×	`times-frac_binary64_12360`
49×	`distribute-lft-neg-in_binary64_12311`
45×	`distribute-rgt-neg-out_binary64_12314`
35×	`distribute-rgt-in_binary64_12304`
33×	`associate--r+_binary64_12290`
31×	`log-prod_binary64_12440`
26×	`distribute-lft-in_binary64_12303`
24×	`associate--l+_binary64_12291`
23×	`log-div_binary64_12441`
22×	`distribute-neg-in_binary64_12315` `associate-+l+_binary64_12287`
20×	`unpow3_binary64_12420`
18×	`cube-div_binary64_12383`
16×	`cube-prod_binary64_12382`
12×	`distribute-rgt-out_binary64_12307` `associate-+r+_binary64_12286`
11×	`sqr-pow_binary64_12326`
10×	`associate-+r-_binary64_12288`
9×	`/-rgt-identity_binary64_12345`
8×	`mul-1-neg_binary64_12346`
7×	`exp-diff_binary64_12402`
5×	`exp-sum_binary64_12400` `cube-unmult_binary64_12391`
4×	`cube-mult_binary64_12384` `unsub-neg_binary64_12348` `swap-sqr_binary64_12321` `distribute-rgt1-in_binary64_12310`
3×	`rem-square-sqrt_binary64_12366` `associate--r-_binary64_12293`
2×	`prod-exp_binary64_12403` `cube-neg_binary64_12381` `rem-3cbrt-lft_binary64_12379` `sqr-neg_binary64_12368` `rem-sqrt-square_binary64_12367` `-rgt-identity_binary64_12344` `-lft-identity_binary64_12343` `remove-double-div_binary64_12330` `difference-of-squares_binary64_12323` `distribute-lft1-in_binary64_12309` `distribute-lft-out--_binary64_12306` `distribute-lft-out_binary64_12305`
1×	`log-E_binary64_12444` `log-pow_binary64_12443` `log-rec_binary64_12442` `unpow2_binary64_12419` `unpow1/2_binary64_12418` `pow-plus_binary64_12417` `unpow1_binary64_12412` `div-exp_binary64_12405` `rec-exp_binary64_12404` `e-exp-1_binary64_12399` `1-exp_binary64_12398` `unswap-sqr_binary64_12322` `distribute-rgt-out--_binary64_12308`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_12617` `erf-erfc_binary64_12616` `erf-odd_binary64_12615` `if-if-and-not_binary64_12614` `if-if-and_binary64_12613` `if-if-or-not_binary64_12612` `if-if-or_binary64_12611` `if-not_binary64_12610` `if-same_binary64_12609` `if-false_binary64_12608` `if-true_binary64_12607` `not-gte_binary64_12606` `not-lte_binary64_12605` `not-gt_binary64_12604` `not-lt_binary64_12603` `gte-same_binary64_12602` `lte-same_binary64_12601` `gt-same_binary64_12600` `lt-same_binary64_12599` `sinh---cosh_binary64_12546` `sinh-+-cosh_binary64_12545` `sinh-cosh_binary64_12544` `tanh-def-c_binary64_12543` `tanh-def-b_binary64_12542` `tanh-def-a_binary64_12541` `cosh-def_binary64_12540` `sinh-def_binary64_12539` `tan-neg_binary64_12486` `cos-neg_binary64_12485` `sin-neg_binary64_12484` `tan-0_binary64_12483` `cos-0_binary64_12482` `sin-0_binary64_12481` `hang-m-tan_binary64_12480` `hang-p-tan_binary64_12479` `hang-m0-tan_binary64_12478` `hang-p0-tan_binary64_12477` `hang-0m-tan_binary64_12476` `hang-0p-tan_binary64_12475` `tan-+PI/2_binary64_12474` `tan-+PI_binary64_12473` `tan-PI_binary64_12472` `tan-PI/3_binary64_12471` `tan-PI/4_binary64_12470` `tan-PI/6_binary64_12469` `cos-+PI/2_binary64_12468` `cos-+PI_binary64_12467` `cos-PI_binary64_12466` `cos-PI/2_binary64_12465` `cos-PI/3_binary64_12464` `cos-PI/4_binary64_12463` `cos-PI/6_binary64_12462` `sin-+PI/2_binary64_12461` `sin-+PI_binary64_12460` `sin-PI_binary64_12459` `sin-PI/2_binary64_12458` `sin-PI/3_binary64_12457` `sin-PI/4_binary64_12456` `sin-PI/6_binary64_12455` `sub-1-sin_binary64_12454` `sub-1-cos_binary64_12453` `-1-add-sin_binary64_12452` `-1-add-cos_binary64_12451` `1-sub-sin_binary64_12450` `1-sub-cos_binary64_12449` `cos-sin-sum_binary64_12448` `pow-base-0_binary64_12438` `unpow1/3_binary64_12421` `exp-to-pow_binary64_12416` `pow-base-1_binary64_12414` `unpow0_binary64_12413` `unpow-1_binary64_12411` `exp-lft-cube_binary64_12410` `exp-lft-sqr_binary64_12409` `exp-cbrt_binary64_12408` `exp-sqrt_binary64_12407` `exp-neg_binary64_12401` `exp-1-e_binary64_12397` `exp-0_binary64_12396` `rem-log-exp_binary64_12395` `rem-exp-log_binary64_12394` `rem-3cbrt-rft_binary64_12380` `rem-cbrt-cube_binary64_12378` `rem-cube-cbrt_binary64_12377` `sqr-abs_binary64_12369` `remove-double-neg_binary64_12342` `sub0-neg_binary64_12341` `--rgt-identity_binary64_12340` `+-rgt-identity_binary64_12339` `+-lft-identity_binary64_12338` `mul0-rgt_binary64_12337` `mul0-lft_binary64_12336` `div0_binary64_12335` `*-inverses_binary64_12334` `+-inverses_binary64_12333` `lft-mult-inverse_binary64_12332` `rgt-mult-inverse_binary64_12331` `pow-sqr_binary64_12327` `difference-of-sqr--1_binary64_12325` `difference-of-sqr-1_binary64_12324` `cancel-sign-sub_binary64_12319` `distribute-frac-neg_binary64_12317` `distribute-neg-out_binary64_12316` `count-2_binary64_12302` `associate--l-_binary64_12292` `associate-+l-_binary64_12289`

Counts

334 → 239

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	420	8181
1	1200	7980
2	4450	7068
3	4893	7058
4	5052	7058

prune291.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	239	0	239
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	239	2	241

Error

Counts

241 → 2

Compiler

Compiled 5076 to 2908 computations (42.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 1 y) (+.f64 1 (/.f64 y (-.f64 1 y))))
1.5b	(log.f64 (+.f64 1 (/.f64 y (-.f64 1 y))))
2.8b	(+.f64 1 (/.f64 y (-.f64 1 y)))
2.8b	(+.f64 1 (/.f64 y (-.f64 1 y)))

rewrite191.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`*-un-lft-identity_binary64_12354`
12×	`add-sqr-sqrt_binary64_12376`
8×	`add-log-exp_binary64_12393`
7×	`pow1_binary64_12415` `add-exp-log_binary64_12392` `add-cube-cbrt_binary64_12389`
6×	`add-cbrt-cube_binary64_12390` `flip3-+_binary64_12357` `flip-+_binary64_12328` `associate-l_binary64_12295`
4×	`distribute-lft-out_binary64_12305` `log-prod_binary64_12440` `frac-times_binary64_12364` `associate-r_binary64_12294`
3×	`flip3--_binary64_12358` `flip--_binary64_12329`
2×	`sum-log_binary64_12445` `+-commutative_binary64_12284` `log-div_binary64_12441` `associate-l/_binary64_12297` `associate-r/_binary64_12296` `difference-of-squares_binary64_12323`
1×	`log-pow_binary64_12443` `rem-log-exp_binary64_12395` `pow-prod-down_binary64_12425` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `unswap-sqr_binary64_12322` `distribute-rgt-in_binary64_12304` `distribute-lft-in_binary64_12303` `distribute-lft-out--_binary64_12306` `*-commutative_binary64_12285`

Counts

4 → 71

Calls

4 calls:

18.0ms	(*.f64 (-.f64 1 y) (+.f64 1 (/.f64 y (-.f64 1 y))))
13.0ms	(+.f64 1 (/.f64 y (-.f64 1 y)))
11.0ms	(log.f64 (+.f64 1 (/.f64 y (-.f64 1 y))))
11.0ms	(+.f64 1 (/.f64 y (-.f64 1 y)))

Compiler

Compiled 2454 to 1874 computations (23.6% saved)

series250.0ms (1.6%)

Error

Counts

4 → 24

Calls

4 calls:

81.0ms	(*.f64 (-.f64 1 y) (+.f64 1 (/.f64 y (-.f64 1 y))))
56.0ms	(+.f64 1 (/.f64 y (-.f64 1 y)))
52.0ms	(log.f64 (+.f64 1 (/.f64 y (-.f64 1 y))))
26.0ms	(+.f64 1 (/.f64 y (-.f64 1 y)))

Compiler

Compiled 1358 to 1116 computations (17.8% saved)

simplify114.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

564×	`distribute-rgt-in_binary64_12304`
521×	`distribute-lft-in_binary64_12303`
249×	`cancel-sign-sub-inv_binary64_12320`
221×	`sub-neg_binary64_12347`
220×	`unsub-neg_binary64_12348`
211×	`associate-+l+_binary64_12287`
200×	`associate-*l/_binary64_12297`
174×	`times-frac_binary64_12360`
171×	`associate-*r/_binary64_12296`
169×	`div-sub_binary64_12359`
168×	`exp-sum_binary64_12400`
165×	`*-commutative_binary64_12285`
127×	`associate-+r+_binary64_12286`
123×	`associate-/r*_binary64_12298`
117×	`exp-prod_binary64_12406`
97×	`associate-/l*_binary64_12299`
88×	`neg-mul-1_binary64_12350` `neg-sub0_binary64_12349`
74×	`associate-+l-_binary64_12289`
72×	`+-commutative_binary64_12284`
71×	`log-prod_binary64_12440`
70×	`associate-l_binary64_12295`
65×	`*-lft-identity_binary64_12343`
61×	`*-rgt-identity_binary64_12344` `associate-+r-_binary64_12288`
56×	`associate-r_binary64_12294`
55×	`sqr-pow_binary64_12326`
50×	`unswap-sqr_binary64_12322`
43×	`exp-diff_binary64_12402`
40×	`associate--r+_binary64_12290`
39×	`log-div_binary64_12441`
32×	`distribute-neg-in_binary64_12315` `distribute-lft-neg-out_binary64_12313`
29×	`distribute-rgt-neg-out_binary64_12314`
26×	`cube-prod_binary64_12382`
25×	`/-rgt-identity_binary64_12345`
24×	`cube-div_binary64_12383` `swap-sqr_binary64_12321`
22×	`distribute-rgt-neg-in_binary64_12312`
18×	`distribute-neg-frac_binary64_12318`
15×	`sub0-neg_binary64_12341`
13×	`+-rgt-identity_binary64_12339` `distribute-rgt-out_binary64_12307`
12×	`unpow3_binary64_12420` `distribute-lft-neg-in_binary64_12311`
10×	`log-rec_binary64_12442` `associate--l+_binary64_12291`
7×	`unpow1/2_binary64_12418` `remove-double-div_binary64_12330` `associate-/l/_binary64_12301` `associate-/r/_binary64_12300`
6×	`pow-sqr_binary64_12327` `difference-of-squares_binary64_12323`
5×	`prod-exp_binary64_12403` `difference-of-sqr-1_binary64_12324`
4×	`pow-plus_binary64_12417` `cube-unmult_binary64_12391` `cube-mult_binary64_12384` `distribute-rgt-out--_binary64_12308`
3×	`log-pow_binary64_12443` `distribute-rgt1-in_binary64_12310`
2×	`pow-base-1_binary64_12414` `rec-exp_binary64_12404` `*-inverses_binary64_12334` `+-inverses_binary64_12333` `distribute-lft-out_binary64_12305` `count-2_binary64_12302` `associate--l-_binary64_12292`
1×	`unpow2_binary64_12419` `unpow1_binary64_12412` `exp-neg_binary64_12401` `1-exp_binary64_12398` `exp-1-e_binary64_12397` `rem-exp-log_binary64_12394` `sqr-neg_binary64_12368` `rem-sqrt-square_binary64_12367` `--rgt-identity_binary64_12340` `div0_binary64_12335` `distribute-neg-out_binary64_12316` `associate--r-_binary64_12293`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_12617` `erf-erfc_binary64_12616` `erf-odd_binary64_12615` `if-if-and-not_binary64_12614` `if-if-and_binary64_12613` `if-if-or-not_binary64_12612` `if-if-or_binary64_12611` `if-not_binary64_12610` `if-same_binary64_12609` `if-false_binary64_12608` `if-true_binary64_12607` `not-gte_binary64_12606` `not-lte_binary64_12605` `not-gt_binary64_12604` `not-lt_binary64_12603` `gte-same_binary64_12602` `lte-same_binary64_12601` `gt-same_binary64_12600` `lt-same_binary64_12599` `sinh---cosh_binary64_12546` `sinh-+-cosh_binary64_12545` `sinh-cosh_binary64_12544` `tanh-def-c_binary64_12543` `tanh-def-b_binary64_12542` `tanh-def-a_binary64_12541` `cosh-def_binary64_12540` `sinh-def_binary64_12539` `tan-neg_binary64_12486` `cos-neg_binary64_12485` `sin-neg_binary64_12484` `tan-0_binary64_12483` `cos-0_binary64_12482` `sin-0_binary64_12481` `hang-m-tan_binary64_12480` `hang-p-tan_binary64_12479` `hang-m0-tan_binary64_12478` `hang-p0-tan_binary64_12477` `hang-0m-tan_binary64_12476` `hang-0p-tan_binary64_12475` `tan-+PI/2_binary64_12474` `tan-+PI_binary64_12473` `tan-PI_binary64_12472` `tan-PI/3_binary64_12471` `tan-PI/4_binary64_12470` `tan-PI/6_binary64_12469` `cos-+PI/2_binary64_12468` `cos-+PI_binary64_12467` `cos-PI_binary64_12466` `cos-PI/2_binary64_12465` `cos-PI/3_binary64_12464` `cos-PI/4_binary64_12463` `cos-PI/6_binary64_12462` `sin-+PI/2_binary64_12461` `sin-+PI_binary64_12460` `sin-PI_binary64_12459` `sin-PI/2_binary64_12458` `sin-PI/3_binary64_12457` `sin-PI/4_binary64_12456` `sin-PI/6_binary64_12455` `sub-1-sin_binary64_12454` `sub-1-cos_binary64_12453` `-1-add-sin_binary64_12452` `-1-add-cos_binary64_12451` `1-sub-sin_binary64_12450` `1-sub-cos_binary64_12449` `cos-sin-sum_binary64_12448` `log-E_binary64_12444` `pow-base-0_binary64_12438` `unpow1/3_binary64_12421` `exp-to-pow_binary64_12416` `unpow0_binary64_12413` `unpow-1_binary64_12411` `exp-lft-cube_binary64_12410` `exp-lft-sqr_binary64_12409` `exp-cbrt_binary64_12408` `exp-sqrt_binary64_12407` `div-exp_binary64_12405` `e-exp-1_binary64_12399` `exp-0_binary64_12396` `rem-log-exp_binary64_12395` `cube-neg_binary64_12381` `rem-3cbrt-rft_binary64_12380` `rem-3cbrt-lft_binary64_12379` `rem-cbrt-cube_binary64_12378` `rem-cube-cbrt_binary64_12377` `sqr-abs_binary64_12369` `rem-square-sqrt_binary64_12366` `mul-1-neg_binary64_12346` `remove-double-neg_binary64_12342` `+-lft-identity_binary64_12338` `mul0-rgt_binary64_12337` `mul0-lft_binary64_12336` `lft-mult-inverse_binary64_12332` `rgt-mult-inverse_binary64_12331` `difference-of-sqr--1_binary64_12325` `cancel-sign-sub_binary64_12319` `distribute-frac-neg_binary64_12317` `distribute-lft1-in_binary64_12309` `distribute-lft-out--_binary64_12306`

Counts

95 → 54

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	1539
1	342	1441
2	1080	1405
3	3658	1380
4	4692	1380
5	4950	1380

prune85.0ms (0.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	54	2	56

Error

Counts

56 → 2

Compiler

Compiled 1577 to 1181 computations (25.1% saved)

regimes1.3s (8.2%)

Accuracy

Total 0.0b remaining (96.1%)

Threshold costs 0.0b (96.1%)

Compiler

Compiled 15088 to 12172 computations (19.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`sub-neg_binary64_12347` `+-commutative_binary64_12284`
3×	`neg-mul-1_binary64_12350` `neg-sub0_binary64_12349` `*-commutative_binary64_12285`
1×	`e-exp-1_binary64_12399` `1-exp_binary64_12398` `distribute-neg-frac_binary64_12318`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_12614` `if-if-and_binary64_12613` `if-if-or-not_binary64_12612` `if-if-or_binary64_12611` `if-not_binary64_12610` `if-same_binary64_12609` `if-false_binary64_12608` `if-true_binary64_12607` `tan-0_binary64_12483` `cos-0_binary64_12482` `sin-0_binary64_12481` `unpow1_binary64_12412` `exp-1-e_binary64_12397` `exp-0_binary64_12396` `sqr-abs_binary64_12369` `sqr-neg_binary64_12368` `unsub-neg_binary64_12348` `mul-1-neg_binary64_12346` `/-rgt-identity_binary64_12345` `-rgt-identity_binary64_12344` `-lft-identity_binary64_12343` `remove-double-neg_binary64_12342` `sub0-neg_binary64_12341` `--rgt-identity_binary64_12340` `+-rgt-identity_binary64_12339` `+-lft-identity_binary64_12338` `cancel-sign-sub-inv_binary64_12320` `cancel-sign-sub_binary64_12319` `distribute-frac-neg_binary64_12317` `distribute-neg-out_binary64_12316` `distribute-neg-in_binary64_12315` `distribute-rgt-neg-out_binary64_12314` `distribute-lft-neg-out_binary64_12313` `distribute-rgt-neg-in_binary64_12312` `distribute-lft-neg-in_binary64_12311`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	19	26
2	28	26
3	34	26
4	38	26
5	39	26
6	38	26

end0.0ms (0%)

sample3.5s (22.7%)

Algorithm

1×

intervals

Results

345.0ms	5860×	body	128	valid
245.0ms	1058×	body	1024	valid
172.0ms	971×	body	1024	nan
104.0ms	640×	body	512	valid
91.0ms	667×	body	512	nan
38.0ms	369×	body	256	valid
36.0ms	379×	body	256	nan
24.0ms	488×	body	128	nan
24.0ms	73×	body	2048	valid
0.0ms	2×	body	2048	nan

Compiler

Compiled 2467 to 1986 computations (19.5% saved)

Details

analyze1.0s (6.7%)

sample48.0ms (0.3%)

simplify343.0ms (2.2%)

prune2.0ms (0%)

localize12.0ms (0.1%)

rewrite348.0ms (2.2%)

series1.5s (9.5%)

simplify177.0ms (1.1%)

prune220.0ms (1.4%)

localize10.0ms (0.1%)

rewrite365.0ms (2.3%)

series3.5s (22.2%)

simplify277.0ms (1.8%)

prune371.0ms (2.4%)

localize10.0ms (0.1%)

rewrite788.0ms (5%)

series595.0ms (3.8%)

simplify281.0ms (1.8%)

prune291.0ms (1.9%)

localize12.0ms (0.1%)

rewrite191.0ms (1.2%)

series250.0ms (1.6%)

simplify114.0ms (0.7%)

prune85.0ms (0.5%)

regimes1.3s (8.2%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.5s (22.7%)

Profiling