Details

analyze271.0ms (7.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

12×	`associate-/r*_binary64_12298`
5×	`*-commutative_binary64_12285`
4×	`associate-/l/_binary64_12301` `associate-l_binary64_12295`
2×	`associate-r_binary64_12294`
1×	`+-commutative_binary64_12284` `swap-x-y`
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` `log-prod_binary64_12440` `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` `1-exp_binary64_12398` `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` `times-frac_binary64_12360` `div-sub_binary64_12359` `neg-mul-1_binary64_12350` `neg-sub0_binary64_12349` `unsub-neg_binary64_12348` `sub-neg_binary64_12347` `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` `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` `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` `cancel-sign-sub-inv_binary64_12320` `cancel-sign-sub_binary64_12319` `distribute-neg-frac_binary64_12318` `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` `distribute-rgt1-in_binary64_12310` `distribute-lft1-in_binary64_12309` `distribute-rgt-out--_binary64_12308` `distribute-rgt-out_binary64_12307` `distribute-lft-out--_binary64_12306` `distribute-lft-out_binary64_12305` `distribute-rgt-in_binary64_12304` `distribute-lft-in_binary64_12303` `count-2_binary64_12302` `associate-/r/_binary64_12300` `associate-/l_binary64_12299` `associate-l/_binary64_12297` `associate-r/_binary64_12296` `associate--r-_binary64_12293` `associate--l-_binary64_12292` `associate--l+_binary64_12291` `associate--r+_binary64_12290` `associate-+l-_binary64_12289` `associate-+r-_binary64_12288` `associate-+l+_binary64_12287` `associate-+r+_binary64_12286`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	19	26
2	34	26
3	39	26
4	37	26
5	37	26
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
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
56.2%	43.7%	0.1%	7
56.2%	43.7%	0.1%	8
76.5%	23.4%	0.1%	9
76.5%	23.4%	0.1%	10
87.8%	12.1%	0.1%	11
87.8%	12.1%	0.1%	12
93.8%	6.1%	0.1%	13
93.8%	6.1%	0.1%	14

Symmetry

(sort x y)

Compiler

Compiled 10 to 8 computations (20% saved)

sample25.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

13×	`associate-/r*_binary64_12298`
5×	`*-commutative_binary64_12285`
4×	`associate-/l/_binary64_12301`
3×	`associate-l_binary64_12295` `associate-r_binary64_12294`
1×	`+-commutative_binary64_12284`
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` `log-prod_binary64_12440` `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` `1-exp_binary64_12398` `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` `times-frac_binary64_12360` `div-sub_binary64_12359` `neg-mul-1_binary64_12350` `neg-sub0_binary64_12349` `unsub-neg_binary64_12348` `sub-neg_binary64_12347` `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` `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` `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` `cancel-sign-sub-inv_binary64_12320` `cancel-sign-sub_binary64_12319` `distribute-neg-frac_binary64_12318` `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` `distribute-rgt1-in_binary64_12310` `distribute-lft1-in_binary64_12309` `distribute-rgt-out--_binary64_12308` `distribute-rgt-out_binary64_12307` `distribute-lft-out--_binary64_12306` `distribute-lft-out_binary64_12305` `distribute-rgt-in_binary64_12304` `distribute-lft-in_binary64_12303` `count-2_binary64_12302` `associate-/r/_binary64_12300` `associate-/l_binary64_12299` `associate-l/_binary64_12297` `associate-r/_binary64_12296` `associate--r-_binary64_12293` `associate--l-_binary64_12292` `associate--l+_binary64_12291` `associate--r+_binary64_12290` `associate-+l-_binary64_12289` `associate-+r-_binary64_12288` `associate-+l+_binary64_12287` `associate-+r+_binary64_12286`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	15	13
2	28	13
3	39	13
4	37	13
5	37	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

Error

16.5b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

15.9b

(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

rewrite45.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390`
7×	`*-un-lft-identity_binary64_12354`
4×	`times-frac_binary64_12360` `associate-/l*_binary64_12299`
3×	`prod-exp_binary64_12403` `div-exp_binary64_12405` `add-cube-cbrt_binary64_12389` `cbrt-undiv_binary64_12388` `cbrt-unprod_binary64_12387` `add-sqr-sqrt_binary64_12376`
2×	`distribute-lft-out_binary64_12305` `associate-/l/_binary64_12301`
1×	`pow1_binary64_12415` `add-log-exp_binary64_12393` `frac-2neg_binary64_12365` `clear-num_binary64_12353` `div-inv_binary64_12351` `flip3-+_binary64_12357` `flip-+_binary64_12328` `associate-/r*_binary64_12298`

Counts

1 → 27

Calls

1 calls:

9.0ms

(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

Compiler

Compiled 454 to 218 computations (52% saved)

series186.0ms (5%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

175.0ms

(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

Compiler

Compiled 234 to 224 computations (4.3% saved)

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

664×	`times-frac_binary64_12360`
522×	`associate-/r*_binary64_12298`
519×	`associate-l_binary64_12295`
500×	`distribute-rgt-in_binary64_12304`
465×	`distribute-lft-in_binary64_12303`
424×	`associate-/l*_binary64_12299`
380×	`associate-r_binary64_12294`
158×	`associate-/l/_binary64_12301`
147×	`associate-*l/_binary64_12297`
128×	`*-commutative_binary64_12285`
119×	`associate-*r/_binary64_12296`
100×	`distribute-rgt-out_binary64_12307`
65×	`sub-neg_binary64_12347`
57×	`associate-/r/_binary64_12300`
48×	`distribute-lft-out_binary64_12305`
26×	`unsub-neg_binary64_12348`
23×	`distribute-rgt-neg-in_binary64_12312` `distribute-lft-neg-in_binary64_12311`
22×	`+-commutative_binary64_12284`
20×	`neg-sub0_binary64_12349`
19×	`cancel-sign-sub-inv_binary64_12320`
18×	`swap-sqr_binary64_12321`
17×	`neg-mul-1_binary64_12350` `sqr-pow_binary64_12326`
16×	`distribute-neg-in_binary64_12315` `associate-+l+_binary64_12287`
15×	`distribute-lft-neg-out_binary64_12313` `associate--r+_binary64_12290`
14×	`log-div_binary64_12441` `unswap-sqr_binary64_12322`
13×	`distribute-rgt-neg-out_binary64_12314` `associate-+r+_binary64_12286`
10×	`associate-+l-_binary64_12289`
9×	`cube-div_binary64_12383`
8×	`log-prod_binary64_12440` `associate-+r-_binary64_12288`
7×	`cube-prod_binary64_12382` `+-rgt-identity_binary64_12339`
6×	`cube-unmult_binary64_12391`
5×	`unpow3_binary64_12420` `sub0-neg_binary64_12341`
2×	`exp-sqrt_binary64_12407` `cube-mult_binary64_12384` `distribute-rgt-out--_binary64_12308`
1×	`1-exp_binary64_12398` `associate--l-_binary64_12292` `associate--l+_binary64_12291`
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` `pow-base-0_binary64_12438` `unpow1/3_binary64_12421` `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-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-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` `div-sub_binary64_12359` `mul-1-neg_binary64_12346` `/-rgt-identity_binary64_12345` `-rgt-identity_binary64_12344` `-lft-identity_binary64_12343` `remove-double-neg_binary64_12342` `--rgt-identity_binary64_12340` `+-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-neg-frac_binary64_12318` `distribute-frac-neg_binary64_12317` `distribute-neg-out_binary64_12316` `distribute-rgt1-in_binary64_12310` `distribute-lft1-in_binary64_12309` `distribute-lft-out--_binary64_12306` `count-2_binary64_12302` `associate--r-_binary64_12293`

Counts

39 → 28

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	619
1	217	506
2	823	506
3	3723	505
4	5367	505

prune24.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Error

0.0b

Counts

29 → 3

Compiler

Compiled 358 to 188 computations (47.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

rewrite34.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`*-un-lft-identity_binary64_12354`
6×	`times-frac_binary64_12360`
5×	`distribute-lft-out_binary64_12305`
3×	`add-log-exp_binary64_12393` `add-cube-cbrt_binary64_12389` `add-sqr-sqrt_binary64_12376`
2×	`div-inv_binary64_12351`
1×	`sum-log_binary64_12445` `pow1_binary64_12415` `add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390` `frac-add_binary64_12362` `flip3-+_binary64_12357` `flip-+_binary64_12328` `+-commutative_binary64_12284`

Counts

1 → 17

Calls

1 calls:

17.0ms

(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

Compiler

Compiled 249 to 195 computations (21.7% saved)

series164.0ms (4.4%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

155.0ms

(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

Compiler

Compiled 234 to 224 computations (4.3% saved)

simplify94.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

539×	`distribute-rgt-out_binary64_12307`
394×	`associate-/l/_binary64_12301`
389×	`div-sub_binary64_12359`
372×	`times-frac_binary64_12360`
298×	`distribute-rgt-in_binary64_12304`
282×	`associate-/r/_binary64_12300`
273×	`associate-*l/_binary64_12297`
265×	`distribute-lft-in_binary64_12303`
255×	`associate-/l*_binary64_12299`
254×	`distribute-lft-out_binary64_12305`
243×	`cancel-sign-sub-inv_binary64_12320`
227×	`distribute-rgt-neg-in_binary64_12312`
198×	`associate-l_binary64_12295`
185×	`associate-*r/_binary64_12296`
172×	`*-commutative_binary64_12285`
170×	`associate-r_binary64_12294`
122×	`unsub-neg_binary64_12348`
116×	`distribute-lft-neg-out_binary64_12313`
112×	`sub-neg_binary64_12347`
105×	`distribute-rgt-out--_binary64_12308`
95×	`distribute-neg-frac_binary64_12318`
89×	`distribute-lft-neg-in_binary64_12311`
87×	`sqr-pow_binary64_12326`
85×	`distribute-rgt-neg-out_binary64_12314`
84×	`distribute-neg-in_binary64_12315`
77×	`associate-/r*_binary64_12298`
70×	`unswap-sqr_binary64_12322`
62×	`neg-mul-1_binary64_12350` `associate-+l+_binary64_12287`
58×	`associate-+r+_binary64_12286`
54×	`neg-sub0_binary64_12349`
42×	`+-commutative_binary64_12284`
39×	`*-rgt-identity_binary64_12344`
38×	`exp-prod_binary64_12406` `cube-prod_binary64_12382`
37×	`distribute-neg-out_binary64_12316`
32×	`*-lft-identity_binary64_12343` `cancel-sign-sub_binary64_12319`
27×	`distribute-lft-out--_binary64_12306`
23×	`distribute-frac-neg_binary64_12317`
17×	`exp-sum_binary64_12400` `pow-sqr_binary64_12327`
15×	`associate-+l-_binary64_12289`
14×	`unpow3_binary64_12420` `cube-unmult_binary64_12391`
13×	`remove-double-neg_binary64_12342` `sub0-neg_binary64_12341` `associate-+r-_binary64_12288`
11×	`swap-sqr_binary64_12321`
10×	`/-rgt-identity_binary64_12345`
9×	`exp-diff_binary64_12402` `+-rgt-identity_binary64_12339`
8×	`pow-plus_binary64_12417` `+-lft-identity_binary64_12338`
7×	`cube-mult_binary64_12384` `cube-div_binary64_12383` `mul0-rgt_binary64_12337`
6×	`log-prod_binary64_12440` `unpow1/2_binary64_12418` `mul0-lft_binary64_12336` `div0_binary64_12335` `difference-of-squares_binary64_12323`
5×	`cube-neg_binary64_12381`
4×	`rem-sqrt-square_binary64_12367` `associate--r+_binary64_12290`
3×	`prod-exp_binary64_12403`
2×	`unpow2_binary64_12419` `count-2_binary64_12302`
1×	`1-exp_binary64_12398` `exp-1-e_binary64_12397` `sqr-neg_binary64_12368` `distribute-rgt1-in_binary64_12310` `associate--l+_binary64_12291`
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` `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` `div-exp_binary64_12405` `rec-exp_binary64_12404` `exp-neg_binary64_12401` `e-exp-1_binary64_12399` `exp-0_binary64_12396` `rem-log-exp_binary64_12395` `rem-exp-log_binary64_12394` `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` `--rgt-identity_binary64_12340` `*-inverses_binary64_12334` `+-inverses_binary64_12333` `lft-mult-inverse_binary64_12332` `rgt-mult-inverse_binary64_12331` `remove-double-div_binary64_12330` `difference-of-sqr--1_binary64_12325` `difference-of-sqr-1_binary64_12324` `distribute-lft1-in_binary64_12309` `associate--r-_binary64_12293` `associate--l-_binary64_12292`

Counts

29 → 11

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	364
1	120	331
2	373	328
3	1191	328
4	2737	328
5	3898	328
6	4699	328
7	5160	328

prune9.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	11	3	14

Error

0.0b

Counts

14 → 3

Compiler

Compiled 125 to 91 computations (27.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x y) y)
5.5b	(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))

rewrite107.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

40×	`*-un-lft-identity_binary64_12354`
38×	`add-sqr-sqrt_binary64_12376`
37×	`times-frac_binary64_12360`
26×	`add-cube-cbrt_binary64_12389`
16×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390` `associate-r_binary64_12294`
13×	`associate-l_binary64_12295`
7×	`distribute-lft-out_binary64_12305`
5×	`div-exp_binary64_12405` `cbrt-undiv_binary64_12388`
4×	`pow1_binary64_12415` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `unswap-sqr_binary64_12322` `associate-/l*_binary64_12299`
3×	`div-inv_binary64_12351` `associate-/r*_binary64_12298`
2×	`add-log-exp_binary64_12393` `associate-/l/_binary64_12301`
1×	`pow-prod-down_binary64_12425` `frac-times_binary64_12364` `associate-l/_binary64_12297` `associate-r/_binary64_12296` `*-commutative_binary64_12285` `frac-2neg_binary64_12365` `clear-num_binary64_12353` `flip3-+_binary64_12357` `flip-+_binary64_12328`

Counts

2 → 86

Calls

2 calls:

15.0ms	(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
9.0ms	(/.f64 (+.f64 x y) y)

Compiler

Compiled 1484 to 577 computations (61.1% saved)

series290.0ms (7.7%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

169.0ms	(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
107.0ms	(/.f64 (+.f64 x y) y)

Compiler

Compiled 468 to 408 computations (12.8% saved)

simplify84.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

924×	`distribute-rgt-in_binary64_12304`
670×	`associate-*l/_binary64_12297`
489×	`associate-/l*_binary64_12299`
303×	`*-commutative_binary64_12285`
242×	`associate-/l/_binary64_12301`
206×	`times-frac_binary64_12360`
157×	`distribute-lft-in_binary64_12303`
135×	`associate-*r/_binary64_12296`
124×	`associate-/r*_binary64_12298`
118×	`associate-l_binary64_12295`
113×	`associate-/r/_binary64_12300`
106×	`associate-r_binary64_12294`
89×	`log-div_binary64_12441`
80×	`sub-neg_binary64_12347`
78×	`cube-div_binary64_12383`
67×	`*-rgt-identity_binary64_12344`
50×	`log-prod_binary64_12440` `*-lft-identity_binary64_12343`
44×	`cube-prod_binary64_12382` `sqr-pow_binary64_12326`
32×	`swap-sqr_binary64_12321`
30×	`/-rgt-identity_binary64_12345`
29×	`exp-prod_binary64_12406` `cancel-sign-sub-inv_binary64_12320`
28×	`distribute-neg-in_binary64_12315` `associate-+r+_binary64_12286`
27×	`associate-+l+_binary64_12287` `+-commutative_binary64_12284`
22×	`unsub-neg_binary64_12348` `associate-+l-_binary64_12289` `associate-+r-_binary64_12288`
21×	`unswap-sqr_binary64_12322`
20×	`neg-mul-1_binary64_12350` `neg-sub0_binary64_12349`
17×	`distribute-rgt-out_binary64_12307`
10×	`unpow3_binary64_12420` `div-sub_binary64_12359`
9×	`log-rec_binary64_12442` `cube-mult_binary64_12384` `+-rgt-identity_binary64_12339`
8×	`distribute-rgt-neg-in_binary64_12312` `distribute-lft-neg-in_binary64_12311` `associate--r+_binary64_12290`
6×	`cube-unmult_binary64_12391` `remove-double-div_binary64_12330`
5×	`sub0-neg_binary64_12341` `pow-sqr_binary64_12327` `distribute-lft-neg-out_binary64_12313`
4×	`distribute-rgt-out--_binary64_12308` `associate--r-_binary64_12293`
3×	`unpow1/2_binary64_12418` `distribute-rgt-neg-out_binary64_12314` `distribute-lft-out_binary64_12305` `associate--l-_binary64_12292` `associate--l+_binary64_12291`
2×	`remove-double-neg_binary64_12342` `mul0-rgt_binary64_12337` `mul0-lft_binary64_12336` `distribute-neg-out_binary64_12316`
1×	`1-exp_binary64_12398` `exp-1-e_binary64_12397` `--rgt-identity_binary64_12340` `lft-mult-inverse_binary64_12332` `rgt-mult-inverse_binary64_12331` `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` `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` `pow-base-0_binary64_12438` `unpow1/3_binary64_12421` `unpow2_binary64_12419` `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` `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-0_binary64_12396` `rem-log-exp_binary64_12395` `rem-exp-log_binary64_12394` `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` `+-lft-identity_binary64_12338` `div0_binary64_12335` `*-inverses_binary64_12334` `+-inverses_binary64_12333` `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-rgt1-in_binary64_12310` `distribute-lft1-in_binary64_12309` `distribute-lft-out--_binary64_12306` `count-2_binary64_12302`

Counts

110 → 50

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	1615
1	378	1447
2	1344	1447
3	3756	1446
4	5361	1446

prune44.0ms (1.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	49	4	53

Error

Counts

53 → 4

Compiler

Compiled 681 to 322 computations (52.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 x y) y)
0.2b	(pow.f64 (/.f64 (+.f64 x y) y) 3)
5.5b	(*.f64 (/.f64 1/2 x) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 3)))
12.9b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 3))

rewrite332.0ms (8.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

116×	`*-un-lft-identity_binary64_12354`
109×	`add-sqr-sqrt_binary64_12376`
104×	`times-frac_binary64_12360`
88×	`cbrt-prod_binary64_12385`
72×	`add-cube-cbrt_binary64_12389`
52×	`unpow-prod-down_binary64_12433` `cube-prod_binary64_12382`
41×	`associate-r_binary64_12294`
22×	`distribute-lft-out_binary64_12305`
14×	`add-exp-log_binary64_12392` `unswap-sqr_binary64_12322`
13×	`associate-l_binary64_12295`
12×	`add-cbrt-cube_binary64_12390`
8×	`div-inv_binary64_12351`
7×	`pow1_binary64_12415`
5×	`sqr-pow_binary64_12326`
4×	`add-log-exp_binary64_12393` `cube-div_binary64_12383` `associate-/l*_binary64_12299`
3×	`cbrt-div_binary64_12386` `unpow3_binary64_12420` `cube-mult_binary64_12384` `div-exp_binary64_12405` `cbrt-undiv_binary64_12388` `pow-unpow_binary64_12431` `associate-/r*_binary64_12298`
2×	`prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `pow-exp_binary64_12422` `rem-cube-cbrt_binary64_12377` `associate-/l/_binary64_12301`
1×	`pow1/3_binary64_12436` `rem-cbrt-cube_binary64_12378` `pow-prod-down_binary64_12425` `frac-times_binary64_12364` `associate-l/_binary64_12297` `associate-r/_binary64_12296` `*-commutative_binary64_12285` `pow-pow_binary64_12426` `pow-to-exp_binary64_12423` `frac-2neg_binary64_12365` `clear-num_binary64_12353` `flip3-+_binary64_12357` `flip-+_binary64_12328`

Counts

4 → 217

Calls

4 calls:

29.0ms	(*.f64 (/.f64 1/2 x) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 3)))
8.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 3))
8.0ms	(pow.f64 (/.f64 (+.f64 x y) y) 3)
6.0ms	(/.f64 (+.f64 x y) y)

Compiler

Compiled 4786 to 2335 computations (51.2% saved)

series627.0ms (16.7%)

Error

Counts

4 → 60

Calls

4 calls:

202.0ms	(*.f64 (/.f64 1/2 x) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 3)))
131.0ms	(pow.f64 (/.f64 (+.f64 x y) y) 3)
126.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 3))
114.0ms	(/.f64 (+.f64 x y) y)

Compiler

Compiled 1800 to 1495 computations (16.9% saved)

simplify140.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

505×	`unswap-sqr_binary64_12322`
359×	`associate-/l/_binary64_12301`
217×	`associate-r_binary64_12294`
204×	`associate-l_binary64_12295`
193×	`distribute-rgt-in_binary64_12304`
178×	`distribute-lft-in_binary64_12303`
165×	`associate-*l/_binary64_12297`
161×	`associate-*r/_binary64_12296`
126×	`log-prod_binary64_12440`
117×	`sqr-pow_binary64_12326`
112×	`*-commutative_binary64_12285`
99×	`associate-/l*_binary64_12299`
86×	`exp-prod_binary64_12406`
74×	`log-div_binary64_12441`
71×	`cube-div_binary64_12383`
70×	`cube-prod_binary64_12382`
45×	`swap-sqr_binary64_12321`
37×	`times-frac_binary64_12360`
33×	`unpow3_binary64_12420`
32×	`cube-mult_binary64_12384` `sub-neg_binary64_12347`
30×	`associate-/r*_binary64_12298` `+-commutative_binary64_12284`
29×	`cancel-sign-sub-inv_binary64_12320`
28×	`*-rgt-identity_binary64_12344`
24×	`distribute-rgt-neg-in_binary64_12312`
23×	`*-lft-identity_binary64_12343`
22×	`rem-cbrt-cube_binary64_12378`
20×	`distribute-lft-neg-in_binary64_12311`
19×	`neg-sub0_binary64_12349`
18×	`neg-mul-1_binary64_12350`
17×	`associate-+l+_binary64_12287`
16×	`log-pow_binary64_12443` `distribute-neg-in_binary64_12315`
15×	`rem-sqrt-square_binary64_12367`
14×	`pow-sqr_binary64_12327` `associate-+r+_binary64_12286`
13×	`distribute-rgt-out_binary64_12307`
9×	`pow-plus_binary64_12417` `distribute-neg-frac_binary64_12318`
8×	`cube-unmult_binary64_12391` `associate-/r/_binary64_12300`
5×	`unsub-neg_binary64_12348` `distribute-rgt-out--_binary64_12308` `associate-+r-_binary64_12288`
4×	`unpow1/2_binary64_12418` `div-sub_binary64_12359` `/-rgt-identity_binary64_12345` `difference-of-squares_binary64_12323` `distribute-lft-neg-out_binary64_12313` `associate--r+_binary64_12290`
3×	`unpow1_binary64_12412` `rem-cube-cbrt_binary64_12377` `rem-square-sqrt_binary64_12366` `distribute-rgt-neg-out_binary64_12314` `count-2_binary64_12302` `associate-+l-_binary64_12289`
2×	`unpow2_binary64_12419` `+-rgt-identity_binary64_12339` `distribute-rgt1-in_binary64_12310` `distribute-lft-out_binary64_12305`
1×	`log-rec_binary64_12442` `1-exp_binary64_12398` `exp-1-e_binary64_12397` `rem-3cbrt-lft_binary64_12379` `mul-1-neg_binary64_12346` `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` `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` `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-0_binary64_12396` `rem-log-exp_binary64_12395` `rem-exp-log_binary64_12394` `cube-neg_binary64_12381` `rem-3cbrt-rft_binary64_12380` `sqr-abs_binary64_12369` `sqr-neg_binary64_12368` `remove-double-neg_binary64_12342` `sub0-neg_binary64_12341` `--rgt-identity_binary64_12340` `+-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` `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` `distribute-lft1-in_binary64_12309` `distribute-lft-out--_binary64_12306` `associate--l-_binary64_12292` `associate--l+_binary64_12291`

Counts

277 → 206

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	4649
1	628	4240
2	2327	4120
3	5126	4120

prune194.0ms (5.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	206	4	210

Error

Counts

210 → 4

Compiler

Compiled 3565 to 1658 computations (53.5% saved)

regimes151.0ms (4%)

Accuracy

Total 0.0b remaining (94.6%)

Threshold costs 0.0b (94.6%)

Compiler

Compiled 1146 to 881 computations (23.1% saved)

bsearch0.0ms (0%)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64_12285`
1×	`1-exp_binary64_12398` `+-commutative_binary64_12284`
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` `e-exp-1_binary64_12399` `exp-1-e_binary64_12397` `exp-0_binary64_12396` `sqr-abs_binary64_12369` `sqr-neg_binary64_12368` `neg-mul-1_binary64_12350` `neg-sub0_binary64_12349` `unsub-neg_binary64_12348` `sub-neg_binary64_12347` `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-neg-frac_binary64_12318` `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	10	16
1	15	16
2	14	16

Remove

(sort x y)

Compiler

Compiled 22 to 22 computations (0% saved)

end0.0ms (0%)

sample829.0ms (22.1%)

Algorithm

1×

intervals

Results

221.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 366 to 290 computations (20.8% saved)

Details

analyze271.0ms (7.2%)

sample25.0ms (0.7%)

simplify9.0ms (0.2%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite45.0ms (1.2%)

series186.0ms (5%)

simplify54.0ms (1.4%)

prune24.0ms (0.6%)

localize5.0ms (0.1%)

rewrite34.0ms (0.9%)

series164.0ms (4.4%)

simplify94.0ms (2.5%)

prune9.0ms (0.2%)

localize6.0ms (0.2%)

rewrite107.0ms (2.9%)

series290.0ms (7.7%)

simplify84.0ms (2.2%)

prune44.0ms (1.2%)

localize8.0ms (0.2%)

rewrite332.0ms (8.9%)

series627.0ms (16.7%)

simplify140.0ms (3.7%)

prune194.0ms (5.2%)

regimes151.0ms (4%)

bsearch0.0ms (0%)

simplify11.0ms (0.3%)

end0.0ms (0%)

sample829.0ms (22.1%)

Profiling