Details

analyze686.0ms (13.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

9×	`*-commutative_binary64_17059`
6×	`associate-/r/_binary64_17074` `associate-/l*_binary64_17073`
1×	`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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `log-pow_binary64_17217` `log-rec_binary64_17216` `log-div_binary64_17215` `log-prod_binary64_17214` `pow-base-0_binary64_17212` `unpow1/3_binary64_17195` `unpow3_binary64_17194` `unpow2_binary64_17193` `unpow1/2_binary64_17192` `pow-plus_binary64_17191` `exp-to-pow_binary64_17190` `pow-base-1_binary64_17188` `unpow0_binary64_17187` `unpow1_binary64_17186` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `exp-prod_binary64_17180` `div-exp_binary64_17179` `rec-exp_binary64_17178` `prod-exp_binary64_17177` `exp-diff_binary64_17176` `exp-neg_binary64_17175` `exp-sum_binary64_17174` `e-exp-1_binary64_17173` `1-exp_binary64_17172` `exp-1-e_binary64_17171` `exp-0_binary64_17170` `rem-log-exp_binary64_17169` `rem-exp-log_binary64_17168` `cube-unmult_binary64_17165` `cube-mult_binary64_17158` `cube-div_binary64_17157` `cube-prod_binary64_17156` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-3cbrt-lft_binary64_17153` `rem-cbrt-cube_binary64_17152` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `rem-sqrt-square_binary64_17141` `rem-square-sqrt_binary64_17140` `times-frac_binary64_17134` `div-sub_binary64_17133` `neg-mul-1_binary64_17124` `neg-sub0_binary64_17123` `unsub-neg_binary64_17122` `sub-neg_binary64_17121` `mul-1-neg_binary64_17120` `/-rgt-identity_binary64_17119` `-rgt-identity_binary64_17118` `-lft-identity_binary64_17117` `remove-double-neg_binary64_17116` `sub0-neg_binary64_17115` `--rgt-identity_binary64_17114` `+-rgt-identity_binary64_17113` `+-lft-identity_binary64_17112` `mul0-rgt_binary64_17111` `mul0-lft_binary64_17110` `div0_binary64_17109` `-inverses_binary64_17108` `+-inverses_binary64_17107` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `remove-double-div_binary64_17104` `pow-sqr_binary64_17101` `sqr-pow_binary64_17100` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `difference-of-squares_binary64_17097` `unswap-sqr_binary64_17096` `swap-sqr_binary64_17095` `cancel-sign-sub-inv_binary64_17094` `cancel-sign-sub_binary64_17093` `distribute-neg-frac_binary64_17092` `distribute-frac-neg_binary64_17091` `distribute-neg-out_binary64_17090` `distribute-neg-in_binary64_17089` `distribute-rgt-neg-out_binary64_17088` `distribute-lft-neg-out_binary64_17087` `distribute-rgt-neg-in_binary64_17086` `distribute-lft-neg-in_binary64_17085` `distribute-rgt1-in_binary64_17084` `distribute-lft1-in_binary64_17083` `distribute-rgt-out--_binary64_17082` `distribute-rgt-out_binary64_17081` `distribute-lft-out--_binary64_17080` `distribute-lft-out_binary64_17079` `distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077` `count-2_binary64_17076` `associate-/l/_binary64_17075` `associate-/r_binary64_17072` `associate-l/_binary64_17071` `associate-r/_binary64_17070` `associate-l_binary64_17069` `associate-r_binary64_17068` `associate--r-_binary64_17067` `associate--l-_binary64_17066` `associate--l+_binary64_17065` `associate--r+_binary64_17064` `associate-+l-_binary64_17063` `associate-+r-_binary64_17062` `associate-+l+_binary64_17061` `associate-+r+_binary64_17060` `+-commutative_binary64_17058`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	21	28
2	29	28
3	35	28
4	37	28
5	37	28
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
0%	99.9%	0.1%	6
31.2%	68.6%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
54.6%	41.3%	4%	10
59.3%	36.7%	4%	11
61.6%	32.6%	5.8%	12
68.3%	22.7%	9%	13
71%	20%	9%	14

Symmetry

(sort x y)

Compiler

Compiled 6 to 6 computations (0% saved)

sample25.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	19×	body	128	invalid

Compiler

Compiled 11 to 14 computations (-27.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_17059`
2×	`associate-/r/_binary64_17074` `associate-/l*_binary64_17073`
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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `log-pow_binary64_17217` `log-rec_binary64_17216` `log-div_binary64_17215` `log-prod_binary64_17214` `pow-base-0_binary64_17212` `unpow1/3_binary64_17195` `unpow3_binary64_17194` `unpow2_binary64_17193` `unpow1/2_binary64_17192` `pow-plus_binary64_17191` `exp-to-pow_binary64_17190` `pow-base-1_binary64_17188` `unpow0_binary64_17187` `unpow1_binary64_17186` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `exp-prod_binary64_17180` `div-exp_binary64_17179` `rec-exp_binary64_17178` `prod-exp_binary64_17177` `exp-diff_binary64_17176` `exp-neg_binary64_17175` `exp-sum_binary64_17174` `e-exp-1_binary64_17173` `1-exp_binary64_17172` `exp-1-e_binary64_17171` `exp-0_binary64_17170` `rem-log-exp_binary64_17169` `rem-exp-log_binary64_17168` `cube-unmult_binary64_17165` `cube-mult_binary64_17158` `cube-div_binary64_17157` `cube-prod_binary64_17156` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-3cbrt-lft_binary64_17153` `rem-cbrt-cube_binary64_17152` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `rem-sqrt-square_binary64_17141` `rem-square-sqrt_binary64_17140` `times-frac_binary64_17134` `div-sub_binary64_17133` `neg-mul-1_binary64_17124` `neg-sub0_binary64_17123` `unsub-neg_binary64_17122` `sub-neg_binary64_17121` `mul-1-neg_binary64_17120` `/-rgt-identity_binary64_17119` `-rgt-identity_binary64_17118` `-lft-identity_binary64_17117` `remove-double-neg_binary64_17116` `sub0-neg_binary64_17115` `--rgt-identity_binary64_17114` `+-rgt-identity_binary64_17113` `+-lft-identity_binary64_17112` `mul0-rgt_binary64_17111` `mul0-lft_binary64_17110` `div0_binary64_17109` `-inverses_binary64_17108` `+-inverses_binary64_17107` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `remove-double-div_binary64_17104` `pow-sqr_binary64_17101` `sqr-pow_binary64_17100` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `difference-of-squares_binary64_17097` `unswap-sqr_binary64_17096` `swap-sqr_binary64_17095` `cancel-sign-sub-inv_binary64_17094` `cancel-sign-sub_binary64_17093` `distribute-neg-frac_binary64_17092` `distribute-frac-neg_binary64_17091` `distribute-neg-out_binary64_17090` `distribute-neg-in_binary64_17089` `distribute-rgt-neg-out_binary64_17088` `distribute-lft-neg-out_binary64_17087` `distribute-rgt-neg-in_binary64_17086` `distribute-lft-neg-in_binary64_17085` `distribute-rgt1-in_binary64_17084` `distribute-lft1-in_binary64_17083` `distribute-rgt-out--_binary64_17082` `distribute-rgt-out_binary64_17081` `distribute-lft-out--_binary64_17080` `distribute-lft-out_binary64_17079` `distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077` `count-2_binary64_17076` `associate-/l/_binary64_17075` `associate-/r_binary64_17072` `associate-l/_binary64_17071` `associate-r/_binary64_17070` `associate-l_binary64_17069` `associate-r_binary64_17068` `associate--r-_binary64_17067` `associate--l-_binary64_17066` `associate--l+_binary64_17065` `associate--r+_binary64_17064` `associate-+l-_binary64_17063` `associate-+r-_binary64_17062` `associate-+l+_binary64_17061` `associate-+r+_binary64_17060` `+-commutative_binary64_17058`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	13	7
3	16	7
4	17	7
5	17	7

prune1.0ms (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

5.0b

Counts

1 → 1

Compiler

Compiled 5 to 5 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.9b	(/.f64 (*.f64 x y) z)

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
3×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `times-frac_binary64_17134` `-un-lft-identity_binary64_17128` `associate-/r_binary64_17072`
2×	`div-exp_binary64_17179` `cbrt-undiv_binary64_17162`
1×	`pow1_binary64_17189` `prod-exp_binary64_17177` `add-log-exp_binary64_17167` `cbrt-unprod_binary64_17161` `frac-2neg_binary64_17139` `clear-num_binary64_17127` `div-inv_binary64_17125` `associate-/l*_binary64_17073`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/.f64 (*.f64 x y) z)

Compiler

Compiled 214 to 74 computations (65.4% saved)

series148.0ms (3%)

Error

5.0b

Counts

1 → 9

Calls

1 calls:

147.0ms

(/.f64 (*.f64 x y) z)

Compiler

Compiled 95 to 95 computations (0% saved)

simplify120.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1114×	`div-sub_binary64_17133`
1002×	`associate-/r/_binary64_17074`
543×	`sub-neg_binary64_17121`
355×	`associate-/l*_binary64_17073`
299×	`*-commutative_binary64_17059`
294×	`times-frac_binary64_17134`
280×	`cancel-sign-sub-inv_binary64_17094`
263×	`unsub-neg_binary64_17122`
189×	`sqr-pow_binary64_17100`
184×	`+-commutative_binary64_17058`
176×	`div0_binary64_17109`
163×	`distribute-neg-in_binary64_17089` `associate--l-_binary64_17066`
150×	`associate-/l/_binary64_17075`
136×	`distribute-rgt-in_binary64_17078`
133×	`associate-*l/_binary64_17071`
122×	`associate--l+_binary64_17065`
109×	`associate--r-_binary64_17067`
107×	`associate-l_binary64_17069`
102×	`unswap-sqr_binary64_17096`
98×	`associate-*r/_binary64_17070`
91×	`associate-/r*_binary64_17072`
90×	`associate-+l-_binary64_17063`
81×	`pow-sqr_binary64_17101`
73×	`associate-+r-_binary64_17062`
58×	`distribute-rgt-neg-in_binary64_17086` `associate-r_binary64_17068`
57×	`distribute-lft-in_binary64_17077`
54×	`distribute-lft-neg-in_binary64_17085`
50×	`associate-+l+_binary64_17061`
44×	`neg-mul-1_binary64_17124` `neg-sub0_binary64_17123`
43×	`distribute-neg-out_binary64_17090`
41×	`distribute-lft-neg-out_binary64_17087`
33×	`mul0-rgt_binary64_17111` `mul0-lft_binary64_17110`
30×	`associate--r+_binary64_17064`
26×	`*-rgt-identity_binary64_17118`
23×	`log-div_binary64_17215`
20×	`log-prod_binary64_17214` `swap-sqr_binary64_17095` `cancel-sign-sub_binary64_17093`
19×	`distribute-rgt-neg-out_binary64_17088`
18×	`cube-div_binary64_17157` `cube-prod_binary64_17156` `/-rgt-identity_binary64_17119`
17×	`*-lft-identity_binary64_17117`
16×	`distribute-lft-out--_binary64_17080`
15×	`associate-+r+_binary64_17060`
14×	`distribute-rgt-out_binary64_17081`
10×	`--rgt-identity_binary64_17114`
8×	`exp-sum_binary64_17174` `remove-double-neg_binary64_17116`
7×	`unpow3_binary64_17194` `+-rgt-identity_binary64_17113`
6×	`exp-prod_binary64_17180` `exp-diff_binary64_17176` `sub0-neg_binary64_17115` `distribute-rgt1-in_binary64_17084` `distribute-rgt-out--_binary64_17082`
5×	`cube-unmult_binary64_17165` `distribute-neg-frac_binary64_17092` `distribute-lft-out_binary64_17079`
4×	`cube-mult_binary64_17158`
2×	`log-rec_binary64_17216` `distribute-lft1-in_binary64_17083`
1×	`1-exp_binary64_17172` `mul-1-neg_binary64_17120` `+-lft-identity_binary64_17112` `count-2_binary64_17076`
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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `log-pow_binary64_17217` `pow-base-0_binary64_17212` `unpow1/3_binary64_17195` `unpow2_binary64_17193` `unpow1/2_binary64_17192` `pow-plus_binary64_17191` `exp-to-pow_binary64_17190` `pow-base-1_binary64_17188` `unpow0_binary64_17187` `unpow1_binary64_17186` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `div-exp_binary64_17179` `rec-exp_binary64_17178` `prod-exp_binary64_17177` `exp-neg_binary64_17175` `e-exp-1_binary64_17173` `exp-1-e_binary64_17171` `exp-0_binary64_17170` `rem-log-exp_binary64_17169` `rem-exp-log_binary64_17168` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-3cbrt-lft_binary64_17153` `rem-cbrt-cube_binary64_17152` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `rem-sqrt-square_binary64_17141` `rem-square-sqrt_binary64_17140` `*-inverses_binary64_17108` `+-inverses_binary64_17107` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `remove-double-div_binary64_17104` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `difference-of-squares_binary64_17097` `distribute-frac-neg_binary64_17091`

Counts

30 → 9

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	306
1	115	261
2	397	261
3	1588	261
4	1967	261
5	2299	261
6	2896	261
7	3453	261
8	3850	261
9	4637	261
10	4671	261

prune9.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	6	3	9
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	6	4	10

Error

0.1b

Counts

10 → 4

Compiler

Compiled 72 to 41 computations (43.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
1.0b	(/.f64 (.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
4.8b	(.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite138.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-exp-log_binary64_17166`
19×	`add-cbrt-cube_binary64_17164`
17×	`add-sqr-sqrt_binary64_17150`
13×	`add-cube-cbrt_binary64_17163` `*-un-lft-identity_binary64_17128`
12×	`cbrt-prod_binary64_17159`
10×	`times-frac_binary64_17134`
8×	`prod-exp_binary64_17177` `div-exp_binary64_17179` `cbrt-unprod_binary64_17161` `cbrt-undiv_binary64_17162`
7×	`associate-r_binary64_17068`
6×	`pow1_binary64_17189` `associate-/r*_binary64_17072`
4×	`add-log-exp_binary64_17167`
3×	`associate-l_binary64_17069`
2×	`unswap-sqr_binary64_17096` `associate-*r/_binary64_17070` `div-inv_binary64_17125` `pow1/3_binary64_17210`
1×	`pow-prod-down_binary64_17199` `-commutative_binary64_17059` `frac-2neg_binary64_17139` `clear-num_binary64_17127` `associate-/l/_binary64_17075` `associate-/l_binary64_17073`

Counts

4 → 82

Calls

4 calls:

10.0ms	(/.f64 (.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
9.0ms	(.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1489 to 290 computations (80.5% saved)

series1.1s (21.4%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

646.0ms	(.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))))
186.0ms	(/.f64 (.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
126.0ms	(cbrt.f64 z)
103.0ms	(cbrt.f64 z)

Compiler

Compiled 654 to 554 computations (15.3% saved)

simplify105.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

814×	`associate-/r/_binary64_17074`
299×	`*-commutative_binary64_17059`
237×	`unswap-sqr_binary64_17096`
181×	`cancel-sign-sub-inv_binary64_17094`
169×	`log-div_binary64_17215`
157×	`log-prod_binary64_17214`
145×	`distribute-rgt-neg-in_binary64_17086`
135×	`sub-neg_binary64_17121`
132×	`cube-prod_binary64_17156`
120×	`associate-/l*_binary64_17073`
117×	`distribute-lft-neg-in_binary64_17085`
109×	`times-frac_binary64_17134`
98×	`sqr-pow_binary64_17100`
89×	`associate-l_binary64_17069`
81×	`cube-div_binary64_17157`
80×	`distribute-neg-frac_binary64_17092` `associate-/r*_binary64_17072`
73×	`associate-*l/_binary64_17071`
72×	`associate-*r/_binary64_17070`
71×	`distribute-rgt-in_binary64_17078`
67×	`distribute-lft-in_binary64_17077` `associate-r_binary64_17068`
65×	`exp-prod_binary64_17180`
61×	`swap-sqr_binary64_17095`
57×	`neg-sub0_binary64_17123`
54×	`neg-mul-1_binary64_17124`
46×	`associate-/l/_binary64_17075`
37×	`div-sub_binary64_17133`
32×	`distribute-neg-in_binary64_17089`
29×	`associate--l+_binary64_17065`
28×	`unpow3_binary64_17194`
27×	`/-rgt-identity_binary64_17119`
25×	`cube-mult_binary64_17158` `associate-+l-_binary64_17063`
23×	`*-rgt-identity_binary64_17118`
22×	`associate--l-_binary64_17066`
21×	`associate-+l+_binary64_17061`
19×	`unsub-neg_binary64_17122` `associate-+r-_binary64_17062`
18×	`*-lft-identity_binary64_17117`
17×	`log-pow_binary64_17217` `log-rec_binary64_17216` `+-commutative_binary64_17058`
15×	`associate--r+_binary64_17064`
14×	`associate-+r+_binary64_17060`
13×	`cube-unmult_binary64_17165`
10×	`pow-plus_binary64_17191` `pow-sqr_binary64_17101` `distribute-lft-neg-out_binary64_17087`
9×	`distribute-frac-neg_binary64_17091` `distribute-rgt-neg-out_binary64_17088`
8×	`distribute-rgt-out_binary64_17081` `distribute-lft-out_binary64_17079` `count-2_binary64_17076`
7×	`+-rgt-identity_binary64_17113`
6×	`distribute-neg-out_binary64_17090`
5×	`rem-sqrt-square_binary64_17141` `remove-double-neg_binary64_17116` `distribute-lft-out--_binary64_17080`
4×	`mul-1-neg_binary64_17120` `div0_binary64_17109`
3×	`unpow1/3_binary64_17195` `unpow2_binary64_17193` `unpow1/2_binary64_17192` `distribute-rgt-out--_binary64_17082` `associate--r-_binary64_17067`
2×	`unpow1_binary64_17186`
1×	`exp-diff_binary64_17176` `exp-sum_binary64_17174` `1-exp_binary64_17172` `exp-1-e_binary64_17171` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-3cbrt-lft_binary64_17153` `rem-cube-cbrt_binary64_17151` `sqr-neg_binary64_17142` `sub0-neg_binary64_17115` `--rgt-identity_binary64_17114` `mul0-rgt_binary64_17111` `mul0-lft_binary64_17110` `+-inverses_binary64_17107` `remove-double-div_binary64_17104` `distribute-rgt1-in_binary64_17084`
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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `pow-base-0_binary64_17212` `exp-to-pow_binary64_17190` `pow-base-1_binary64_17188` `unpow0_binary64_17187` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `div-exp_binary64_17179` `rec-exp_binary64_17178` `prod-exp_binary64_17177` `exp-neg_binary64_17175` `e-exp-1_binary64_17173` `exp-0_binary64_17170` `rem-log-exp_binary64_17169` `rem-exp-log_binary64_17168` `rem-cbrt-cube_binary64_17152` `sqr-abs_binary64_17143` `rem-square-sqrt_binary64_17140` `+-lft-identity_binary64_17112` `*-inverses_binary64_17108` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `difference-of-squares_binary64_17097` `cancel-sign-sub_binary64_17093` `distribute-lft1-in_binary64_17083`

Counts

106 → 71

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	131	1794
1	302	1115
2	1350	1115
3	2702	1115
4	4979	1115
5	4959	1115

prune51.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	69	6	75

Error

0.0b

Counts

75 → 6

Compiler

Compiled 649 to 307 computations (52.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

6.2b	(/.f64 y (/.f64 z x))

rewrite82.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

75×	`times-frac_binary64_17134`
43×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
13×	`associate-/r*_binary64_17072`
6×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
5×	`div-inv_binary64_17125`
3×	`div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `associate-/l*_binary64_17073`
1×	`pow1_binary64_17189` `add-log-exp_binary64_17167` `frac-2neg_binary64_17139` `clear-num_binary64_17127` `associate-/r/_binary64_17074`

Counts

1 → 70

Calls

1 calls:

7.0ms

(/.f64 y (/.f64 z x))

Compiler

Compiled 1004 to 284 computations (71.7% saved)

series144.0ms (2.9%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

143.0ms

(/.f64 y (/.f64 z x))

Compiler

Compiled 95 to 95 computations (0% saved)

simplify183.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

483×	`*-commutative_binary64_17059`
435×	`div-sub_binary64_17133`
416×	`sub-neg_binary64_17121`
349×	`associate-/r/_binary64_17074`
328×	`unsub-neg_binary64_17122`
320×	`associate-/l/_binary64_17075`
273×	`associate-/l*_binary64_17073`
250×	`times-frac_binary64_17134`
249×	`sqr-pow_binary64_17100`
245×	`associate-*l/_binary64_17071`
241×	`pow-sqr_binary64_17101`
221×	`associate-/r*_binary64_17072`
198×	`cancel-sign-sub-inv_binary64_17094`
171×	`distribute-neg-in_binary64_17089`
168×	`distribute-rgt-in_binary64_17078`
156×	`associate-*r/_binary64_17070`
153×	`unswap-sqr_binary64_17096`
151×	`associate-l_binary64_17069`
121×	`div0_binary64_17109`
103×	`associate--l-_binary64_17066`
95×	`associate-r_binary64_17068`
94×	`associate--l+_binary64_17065`
83×	`distribute-lft-in_binary64_17077`
77×	`neg-mul-1_binary64_17124`
73×	`neg-sub0_binary64_17123`
69×	`associate-+l-_binary64_17063`
63×	`distribute-lft-neg-in_binary64_17085`
62×	`associate--r-_binary64_17067`
59×	`distribute-rgt-neg-in_binary64_17086`
57×	`*-rgt-identity_binary64_17118` `associate--r+_binary64_17064`
52×	`+-commutative_binary64_17058`
49×	`associate-+l+_binary64_17061`
43×	`mul0-rgt_binary64_17111` `mul0-lft_binary64_17110`
39×	`distribute-neg-out_binary64_17090`
38×	`distribute-lft-neg-out_binary64_17087`
24×	`swap-sqr_binary64_17095` `associate-+r+_binary64_17060`
23×	`cube-prod_binary64_17156`
22×	`log-prod_binary64_17214`
21×	`log-div_binary64_17215` `associate-+r-_binary64_17062`
19×	`*-lft-identity_binary64_17117` `remove-double-neg_binary64_17116`
18×	`/-rgt-identity_binary64_17119`
17×	`cube-div_binary64_17157` `rem-sqrt-square_binary64_17141` `distribute-rgt-neg-out_binary64_17088`
13×	`+-rgt-identity_binary64_17113` `distribute-rgt-out--_binary64_17082`
12×	`exp-prod_binary64_17180`
11×	`--rgt-identity_binary64_17114`
10×	`distribute-rgt1-in_binary64_17084`
9×	`distribute-rgt-out_binary64_17081`
8×	`sub0-neg_binary64_17115` `distribute-lft-out--_binary64_17080`
7×	`unpow3_binary64_17194`
6×	`cube-mult_binary64_17158` `distribute-lft-out_binary64_17079`
5×	`exp-sum_binary64_17174` `cube-unmult_binary64_17165` `distribute-lft1-in_binary64_17083`
4×	`log-rec_binary64_17216` `distribute-neg-frac_binary64_17092`
3×	`unpow1/2_binary64_17192` `exp-diff_binary64_17176` `+-lft-identity_binary64_17112` `remove-double-div_binary64_17104`
1×	`1-exp_binary64_17172` `exp-1-e_binary64_17171` `+-inverses_binary64_17107` `count-2_binary64_17076`
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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `log-pow_binary64_17217` `pow-base-0_binary64_17212` `unpow1/3_binary64_17195` `unpow2_binary64_17193` `pow-plus_binary64_17191` `exp-to-pow_binary64_17190` `pow-base-1_binary64_17188` `unpow0_binary64_17187` `unpow1_binary64_17186` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `div-exp_binary64_17179` `rec-exp_binary64_17178` `prod-exp_binary64_17177` `exp-neg_binary64_17175` `e-exp-1_binary64_17173` `exp-0_binary64_17170` `rem-log-exp_binary64_17169` `rem-exp-log_binary64_17168` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-3cbrt-lft_binary64_17153` `rem-cbrt-cube_binary64_17152` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `rem-square-sqrt_binary64_17140` `mul-1-neg_binary64_17120` `*-inverses_binary64_17108` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `difference-of-squares_binary64_17097` `cancel-sign-sub_binary64_17093` `distribute-frac-neg_binary64_17091`

Counts

79 → 46

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	1307
1	310	1247
2	911	1244
3	2185	1244
4	2602	1244
5	3096	1244
6	3771	1244
7	4130	1244
8	4483	1244
9	4940	1244
10	4830	1244

prune36.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	46	6	52

Error

0.0b

Counts

52 → 6

Compiler

Compiled 478 to 149 computations (68.8% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.9b	(.f64 (/.f64 1 z) (.f64 x y))

rewrite48.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-exp-log_binary64_17166`
13×	`add-cbrt-cube_binary64_17164` `associate-l_binary64_17069`
12×	`prod-exp_binary64_17177`
9×	`times-frac_binary64_17134`
8×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
6×	`pow1_binary64_17189` `cbrt-unprod_binary64_17161`
4×	`div-exp_binary64_17179`
3×	`pow-prod-down_binary64_17199`
2×	`1-exp_binary64_17172` `rec-exp_binary64_17178` `cbrt-undiv_binary64_17162`
1×	`add-log-exp_binary64_17167` `associate-l/_binary64_17071` `div-inv_binary64_17125` `associate-r_binary64_17068` `-commutative_binary64_17059`

Counts

1 → 37

Calls

1 calls:

8.0ms

(*.f64 (/.f64 1 z) (*.f64 x y))

Compiler

Compiled 476 to 253 computations (46.8% saved)

series147.0ms (2.9%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

146.0ms

(*.f64 (/.f64 1 z) (*.f64 x y))

Compiler

Compiled 95 to 95 computations (0% saved)

simplify101.0ms (2%)

Algorithm

1×	egg-herbie

Rules

758×	`times-frac_binary64_17134`
503×	`associate-/r*_binary64_17072`
390×	`unsub-neg_binary64_17122`
352×	`sqr-pow_binary64_17100`
327×	`sub-neg_binary64_17121`
281×	`associate-+r-_binary64_17062`
227×	`associate-/l/_binary64_17075`
206×	`*-commutative_binary64_17059`
203×	`associate-/r/_binary64_17074`
188×	`pow-sqr_binary64_17101`
183×	`associate-/l*_binary64_17073`
168×	`associate-*l/_binary64_17071`
155×	`cancel-sign-sub-inv_binary64_17094` `distribute-rgt-in_binary64_17078`
151×	`unswap-sqr_binary64_17096`
126×	`associate--r+_binary64_17064`
125×	`associate-r_binary64_17068`
112×	`associate--l+_binary64_17065`
106×	`associate-l_binary64_17069`
103×	`associate-+l-_binary64_17063`
92×	`distribute-neg-in_binary64_17089`
84×	`associate-*r/_binary64_17070`
70×	`associate-+r+_binary64_17060`
56×	`rem-sqrt-square_binary64_17141`
46×	`associate-+l+_binary64_17061`
45×	`associate--l-_binary64_17066`
44×	`neg-mul-1_binary64_17124` `*-rgt-identity_binary64_17118`
40×	`+-commutative_binary64_17058`
38×	`neg-sub0_binary64_17123`
37×	`*-lft-identity_binary64_17117` `associate--r-_binary64_17067`
30×	`exp-prod_binary64_17180`
24×	`distribute-lft-out_binary64_17079` `distribute-lft-in_binary64_17077`
23×	`+-rgt-identity_binary64_17113` `swap-sqr_binary64_17095`
22×	`distribute-rgt-out_binary64_17081`
19×	`log-prod_binary64_17214` `distribute-lft-neg-out_binary64_17087`
17×	`log-div_binary64_17215` `+-lft-identity_binary64_17112` `distribute-rgt-neg-in_binary64_17086`
16×	`cube-div_binary64_17157`
15×	`cube-prod_binary64_17156`
13×	`sub0-neg_binary64_17115`
11×	`remove-double-neg_binary64_17116`
10×	`distribute-lft-neg-in_binary64_17085`
9×	`/-rgt-identity_binary64_17119` `distribute-rgt-out--_binary64_17082`
8×	`distribute-neg-out_binary64_17090` `distribute-rgt-neg-out_binary64_17088` `distribute-rgt1-in_binary64_17084`
7×	`unpow1/2_binary64_17192` `--rgt-identity_binary64_17114`
6×	`unpow3_binary64_17194` `cube-unmult_binary64_17165` `cube-mult_binary64_17158` `distribute-lft1-in_binary64_17083`
4×	`log-rec_binary64_17216` `distribute-lft-out--_binary64_17080`
1×	`1-exp_binary64_17172` `exp-1-e_binary64_17171` `count-2_binary64_17076`
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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `log-pow_binary64_17217` `pow-base-0_binary64_17212` `unpow1/3_binary64_17195` `unpow2_binary64_17193` `pow-plus_binary64_17191` `exp-to-pow_binary64_17190` `pow-base-1_binary64_17188` `unpow0_binary64_17187` `unpow1_binary64_17186` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `div-exp_binary64_17179` `rec-exp_binary64_17178` `prod-exp_binary64_17177` `exp-diff_binary64_17176` `exp-neg_binary64_17175` `exp-sum_binary64_17174` `e-exp-1_binary64_17173` `exp-0_binary64_17170` `rem-log-exp_binary64_17169` `rem-exp-log_binary64_17168` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-3cbrt-lft_binary64_17153` `rem-cbrt-cube_binary64_17152` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `rem-square-sqrt_binary64_17140` `div-sub_binary64_17133` `mul-1-neg_binary64_17120` `mul0-rgt_binary64_17111` `mul0-lft_binary64_17110` `div0_binary64_17109` `*-inverses_binary64_17108` `+-inverses_binary64_17107` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `remove-double-div_binary64_17104` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `difference-of-squares_binary64_17097` `cancel-sign-sub_binary64_17093` `distribute-neg-frac_binary64_17092` `distribute-frac-neg_binary64_17091`

Counts

46 → 34

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	478
1	169	400
2	553	400
3	1316	400
4	3043	400
5	4074	400
6	4298	400
7	4690	400
8	5104	400

prune18.0ms (0.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	34	6	40

Error

0.0b

Counts

40 → 6

Compiler

Compiled 236 to 105 computations (55.5% saved)

regimes938.0ms (18.8%)

Accuracy

Total 0.9b remaining (98.7%)

Threshold costs 0.9b (98.7%)

Compiler

Compiled 5002 to 3174 computations (36.5% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 5 to 5 computations (0% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_17059`
1×	`1-exp_binary64_17172`
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_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `unpow1_binary64_17186` `e-exp-1_binary64_17173` `exp-1-e_binary64_17171` `exp-0_binary64_17170` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `neg-mul-1_binary64_17124` `neg-sub0_binary64_17123` `unsub-neg_binary64_17122` `sub-neg_binary64_17121` `mul-1-neg_binary64_17120` `/-rgt-identity_binary64_17119` `-rgt-identity_binary64_17118` `-lft-identity_binary64_17117` `remove-double-neg_binary64_17116` `sub0-neg_binary64_17115` `--rgt-identity_binary64_17114` `+-rgt-identity_binary64_17113` `+-lft-identity_binary64_17112` `cancel-sign-sub-inv_binary64_17094` `cancel-sign-sub_binary64_17093` `distribute-neg-frac_binary64_17092` `distribute-frac-neg_binary64_17091` `distribute-neg-out_binary64_17090` `distribute-neg-in_binary64_17089` `distribute-rgt-neg-out_binary64_17088` `distribute-lft-neg-out_binary64_17087` `distribute-rgt-neg-in_binary64_17086` `distribute-lft-neg-in_binary64_17085` `+-commutative_binary64_17058`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	89
1	32	89
2	31	89

end12.0ms (0.2%)

Compiler: Compiled 183 to 81 computations (55.7% saved)

sample859.0ms (17.2%)

Algorithm

1×

intervals

Results

185.0ms	8000×	body	128	valid
21.0ms	686×	body	128	invalid

Compiler

Compiled 131 to 99 computations (24.4% saved)

Details

analyze686.0ms (13.8%)

sample25.0ms (0.5%)

simplify9.0ms (0.2%)

prune1.0ms (0%)

localize4.0ms (0.1%)

rewrite29.0ms (0.6%)

series148.0ms (3%)

simplify120.0ms (2.4%)

prune9.0ms (0.2%)

localize11.0ms (0.2%)

rewrite138.0ms (2.8%)

series1.1s (21.4%)

simplify105.0ms (2.1%)

prune51.0ms (1%)

localize4.0ms (0.1%)

rewrite82.0ms (1.7%)

series144.0ms (2.9%)

simplify183.0ms (3.7%)

prune36.0ms (0.7%)

localize5.0ms (0.1%)

rewrite48.0ms (1%)

series147.0ms (2.9%)

simplify101.0ms (2%)

prune18.0ms (0.4%)

regimes938.0ms (18.8%)

bsearch3.0ms (0.1%)

simplify5.0ms (0.1%)

end12.0ms (0.2%)

sample859.0ms (17.2%)

Profiling