Details

analyze492.0ms (8.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

86×	`distribute-rgt-in_binary64_10599`
81×	`unsub-neg_binary64_10643`
60×	`distribute-lft-in_binary64_10598`
53×	`sub-neg_binary64_10642`
39×	`cancel-sign-sub-inv_binary64_10615`
37×	`neg-mul-1_binary64_10645`
33×	`neg-sub0_binary64_10644`
32×	`associate-l_binary64_10590`
30×	`distribute-rgt-neg-in_binary64_10607` `associate-r_binary64_10589`
28×	`associate--r+_binary64_10585`
22×	`+-lft-identity_binary64_10633` `distribute-lft-neg-out_binary64_10608` `associate-+l-_binary64_10584`
21×	`distribute-rgt-neg-out_binary64_10609`
20×	`sub0-neg_binary64_10636`
18×	`mul0-rgt_binary64_10632` `mul0-lft_binary64_10631`
17×	`+-commutative_binary64_10579`
16×	`*-commutative_binary64_10580`
10×	`--rgt-identity_binary64_10635`
9×	`-rgt-identity_binary64_10639` `-lft-identity_binary64_10638` `remove-double-neg_binary64_10637` `distribute-rgt-out--_binary64_10603` `associate-+r-_binary64_10583` `associate-+l+_binary64_10582` `associate-+r+_binary64_10581`
8×	`distribute-lft-neg-in_binary64_10606`
6×	`distribute-neg-in_binary64_10610` `associate--r-_binary64_10588` `associate--l+_binary64_10586`
1×	`1-exp_binary64_10693` `swap-y-z`
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_10912` `erf-erfc_binary64_10911` `erf-odd_binary64_10910` `if-if-and-not_binary64_10909` `if-if-and_binary64_10908` `if-if-or-not_binary64_10907` `if-if-or_binary64_10906` `if-not_binary64_10905` `if-same_binary64_10904` `if-false_binary64_10903` `if-true_binary64_10902` `not-gte_binary64_10901` `not-lte_binary64_10900` `not-gt_binary64_10899` `not-lt_binary64_10898` `gte-same_binary64_10897` `lte-same_binary64_10896` `gt-same_binary64_10895` `lt-same_binary64_10894` `sinh---cosh_binary64_10841` `sinh-+-cosh_binary64_10840` `sinh-cosh_binary64_10839` `tanh-def-c_binary64_10838` `tanh-def-b_binary64_10837` `tanh-def-a_binary64_10836` `cosh-def_binary64_10835` `sinh-def_binary64_10834` `tan-neg_binary64_10781` `cos-neg_binary64_10780` `sin-neg_binary64_10779` `tan-0_binary64_10778` `cos-0_binary64_10777` `sin-0_binary64_10776` `hang-m-tan_binary64_10775` `hang-p-tan_binary64_10774` `hang-m0-tan_binary64_10773` `hang-p0-tan_binary64_10772` `hang-0m-tan_binary64_10771` `hang-0p-tan_binary64_10770` `tan-+PI/2_binary64_10769` `tan-+PI_binary64_10768` `tan-PI_binary64_10767` `tan-PI/3_binary64_10766` `tan-PI/4_binary64_10765` `tan-PI/6_binary64_10764` `cos-+PI/2_binary64_10763` `cos-+PI_binary64_10762` `cos-PI_binary64_10761` `cos-PI/2_binary64_10760` `cos-PI/3_binary64_10759` `cos-PI/4_binary64_10758` `cos-PI/6_binary64_10757` `sin-+PI/2_binary64_10756` `sin-+PI_binary64_10755` `sin-PI_binary64_10754` `sin-PI/2_binary64_10753` `sin-PI/3_binary64_10752` `sin-PI/4_binary64_10751` `sin-PI/6_binary64_10750` `sub-1-sin_binary64_10749` `sub-1-cos_binary64_10748` `-1-add-sin_binary64_10747` `-1-add-cos_binary64_10746` `1-sub-sin_binary64_10745` `1-sub-cos_binary64_10744` `cos-sin-sum_binary64_10743` `log-E_binary64_10739` `log-pow_binary64_10738` `log-rec_binary64_10737` `log-div_binary64_10736` `log-prod_binary64_10735` `pow-base-0_binary64_10733` `unpow1/3_binary64_10716` `unpow3_binary64_10715` `unpow2_binary64_10714` `unpow1/2_binary64_10713` `pow-plus_binary64_10712` `exp-to-pow_binary64_10711` `pow-base-1_binary64_10709` `unpow0_binary64_10708` `unpow1_binary64_10707` `unpow-1_binary64_10706` `exp-lft-cube_binary64_10705` `exp-lft-sqr_binary64_10704` `exp-cbrt_binary64_10703` `exp-sqrt_binary64_10702` `exp-prod_binary64_10701` `div-exp_binary64_10700` `rec-exp_binary64_10699` `prod-exp_binary64_10698` `exp-diff_binary64_10697` `exp-neg_binary64_10696` `exp-sum_binary64_10695` `e-exp-1_binary64_10694` `exp-1-e_binary64_10692` `exp-0_binary64_10691` `rem-log-exp_binary64_10690` `rem-exp-log_binary64_10689` `cube-unmult_binary64_10686` `cube-mult_binary64_10679` `cube-div_binary64_10678` `cube-prod_binary64_10677` `cube-neg_binary64_10676` `rem-3cbrt-rft_binary64_10675` `rem-3cbrt-lft_binary64_10674` `rem-cbrt-cube_binary64_10673` `rem-cube-cbrt_binary64_10672` `sqr-abs_binary64_10664` `sqr-neg_binary64_10663` `rem-sqrt-square_binary64_10662` `rem-square-sqrt_binary64_10661` `times-frac_binary64_10655` `div-sub_binary64_10654` `mul-1-neg_binary64_10641` `/-rgt-identity_binary64_10640` `+-rgt-identity_binary64_10634` `div0_binary64_10630` `-inverses_binary64_10629` `+-inverses_binary64_10628` `lft-mult-inverse_binary64_10627` `rgt-mult-inverse_binary64_10626` `remove-double-div_binary64_10625` `pow-sqr_binary64_10622` `sqr-pow_binary64_10621` `difference-of-sqr--1_binary64_10620` `difference-of-sqr-1_binary64_10619` `difference-of-squares_binary64_10618` `unswap-sqr_binary64_10617` `swap-sqr_binary64_10616` `cancel-sign-sub_binary64_10614` `distribute-neg-frac_binary64_10613` `distribute-frac-neg_binary64_10612` `distribute-neg-out_binary64_10611` `distribute-rgt1-in_binary64_10605` `distribute-lft1-in_binary64_10604` `distribute-rgt-out_binary64_10602` `distribute-lft-out--_binary64_10601` `distribute-lft-out_binary64_10600` `count-2_binary64_10597` `associate-/l/_binary64_10596` `associate-/r/_binary64_10595` `associate-/l_binary64_10594` `associate-/r_binary64_10593` `associate-l/_binary64_10592` `associate-*r/_binary64_10591` `associate--l-_binary64_10587`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	40
1	39	40
2	77	40
3	117	40
4	211	40
5	253	40
6	277	40
7	455	40
8	425	40
9	423	40
10	420	40
11	420	40
12	361	40
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
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
39%	57.7%	3.3%	9
47.6%	46%	6.4%	10
58.1%	35.5%	6.4%	11
62.2%	29.1%	8.7%	12
66.2%	22.7%	11.1%	13
71.3%	17.6%	11.1%	14

Symmetry

(sort y z)

Compiler

Compiled 8 to 8 computations (0% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	13×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

46×	`distribute-rgt-in_binary64_10599`
45×	`associate-r_binary64_10589`
43×	`associate-l_binary64_10590`
41×	`cancel-sign-sub-inv_binary64_10615`
30×	`distribute-lft-in_binary64_10598`
29×	`unsub-neg_binary64_10643` `sub-neg_binary64_10642`
23×	`*-commutative_binary64_10580`
19×	`neg-sub0_binary64_10644`
18×	`associate--r+_binary64_10585`
17×	`distribute-rgt-neg-out_binary64_10609` `distribute-lft-neg-out_binary64_10608`
16×	`neg-mul-1_binary64_10645`
14×	`mul0-rgt_binary64_10632` `mul0-lft_binary64_10631`
11×	`+-lft-identity_binary64_10633` `distribute-rgt-neg-in_binary64_10607`
10×	`sub0-neg_binary64_10636` `associate-+l-_binary64_10584`
9×	`-rgt-identity_binary64_10639` `-lft-identity_binary64_10638` `+-commutative_binary64_10579`
6×	`--rgt-identity_binary64_10635`
5×	`remove-double-neg_binary64_10637` `distribute-neg-in_binary64_10610`
4×	`distribute-lft-neg-in_binary64_10606`
3×	`distribute-rgt-out--_binary64_10603` `associate-+l+_binary64_10582` `associate-+r+_binary64_10581`
2×	`associate--r-_binary64_10588` `associate-+r-_binary64_10583`
1×	`1-exp_binary64_10693` `+-rgt-identity_binary64_10634` `associate--l+_binary64_10586`
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_10912` `erf-erfc_binary64_10911` `erf-odd_binary64_10910` `if-if-and-not_binary64_10909` `if-if-and_binary64_10908` `if-if-or-not_binary64_10907` `if-if-or_binary64_10906` `if-not_binary64_10905` `if-same_binary64_10904` `if-false_binary64_10903` `if-true_binary64_10902` `not-gte_binary64_10901` `not-lte_binary64_10900` `not-gt_binary64_10899` `not-lt_binary64_10898` `gte-same_binary64_10897` `lte-same_binary64_10896` `gt-same_binary64_10895` `lt-same_binary64_10894` `sinh---cosh_binary64_10841` `sinh-+-cosh_binary64_10840` `sinh-cosh_binary64_10839` `tanh-def-c_binary64_10838` `tanh-def-b_binary64_10837` `tanh-def-a_binary64_10836` `cosh-def_binary64_10835` `sinh-def_binary64_10834` `tan-neg_binary64_10781` `cos-neg_binary64_10780` `sin-neg_binary64_10779` `tan-0_binary64_10778` `cos-0_binary64_10777` `sin-0_binary64_10776` `hang-m-tan_binary64_10775` `hang-p-tan_binary64_10774` `hang-m0-tan_binary64_10773` `hang-p0-tan_binary64_10772` `hang-0m-tan_binary64_10771` `hang-0p-tan_binary64_10770` `tan-+PI/2_binary64_10769` `tan-+PI_binary64_10768` `tan-PI_binary64_10767` `tan-PI/3_binary64_10766` `tan-PI/4_binary64_10765` `tan-PI/6_binary64_10764` `cos-+PI/2_binary64_10763` `cos-+PI_binary64_10762` `cos-PI_binary64_10761` `cos-PI/2_binary64_10760` `cos-PI/3_binary64_10759` `cos-PI/4_binary64_10758` `cos-PI/6_binary64_10757` `sin-+PI/2_binary64_10756` `sin-+PI_binary64_10755` `sin-PI_binary64_10754` `sin-PI/2_binary64_10753` `sin-PI/3_binary64_10752` `sin-PI/4_binary64_10751` `sin-PI/6_binary64_10750` `sub-1-sin_binary64_10749` `sub-1-cos_binary64_10748` `-1-add-sin_binary64_10747` `-1-add-cos_binary64_10746` `1-sub-sin_binary64_10745` `1-sub-cos_binary64_10744` `cos-sin-sum_binary64_10743` `log-E_binary64_10739` `log-pow_binary64_10738` `log-rec_binary64_10737` `log-div_binary64_10736` `log-prod_binary64_10735` `pow-base-0_binary64_10733` `unpow1/3_binary64_10716` `unpow3_binary64_10715` `unpow2_binary64_10714` `unpow1/2_binary64_10713` `pow-plus_binary64_10712` `exp-to-pow_binary64_10711` `pow-base-1_binary64_10709` `unpow0_binary64_10708` `unpow1_binary64_10707` `unpow-1_binary64_10706` `exp-lft-cube_binary64_10705` `exp-lft-sqr_binary64_10704` `exp-cbrt_binary64_10703` `exp-sqrt_binary64_10702` `exp-prod_binary64_10701` `div-exp_binary64_10700` `rec-exp_binary64_10699` `prod-exp_binary64_10698` `exp-diff_binary64_10697` `exp-neg_binary64_10696` `exp-sum_binary64_10695` `e-exp-1_binary64_10694` `exp-1-e_binary64_10692` `exp-0_binary64_10691` `rem-log-exp_binary64_10690` `rem-exp-log_binary64_10689` `cube-unmult_binary64_10686` `cube-mult_binary64_10679` `cube-div_binary64_10678` `cube-prod_binary64_10677` `cube-neg_binary64_10676` `rem-3cbrt-rft_binary64_10675` `rem-3cbrt-lft_binary64_10674` `rem-cbrt-cube_binary64_10673` `rem-cube-cbrt_binary64_10672` `sqr-abs_binary64_10664` `sqr-neg_binary64_10663` `rem-sqrt-square_binary64_10662` `rem-square-sqrt_binary64_10661` `times-frac_binary64_10655` `div-sub_binary64_10654` `mul-1-neg_binary64_10641` `/-rgt-identity_binary64_10640` `div0_binary64_10630` `-inverses_binary64_10629` `+-inverses_binary64_10628` `lft-mult-inverse_binary64_10627` `rgt-mult-inverse_binary64_10626` `remove-double-div_binary64_10625` `pow-sqr_binary64_10622` `sqr-pow_binary64_10621` `difference-of-sqr--1_binary64_10620` `difference-of-sqr-1_binary64_10619` `difference-of-squares_binary64_10618` `unswap-sqr_binary64_10617` `swap-sqr_binary64_10616` `cancel-sign-sub_binary64_10614` `distribute-neg-frac_binary64_10613` `distribute-frac-neg_binary64_10612` `distribute-neg-out_binary64_10611` `distribute-rgt1-in_binary64_10605` `distribute-lft1-in_binary64_10604` `distribute-rgt-out_binary64_10602` `distribute-lft-out--_binary64_10601` `distribute-lft-out_binary64_10600` `count-2_binary64_10597` `associate-/l/_binary64_10596` `associate-/r/_binary64_10595` `associate-/l_binary64_10594` `associate-/r_binary64_10593` `associate-l/_binary64_10592` `associate-*r/_binary64_10591` `associate--l-_binary64_10587`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	17	10
2	32	10
3	66	10
4	153	10
5	174	10
6	189	10
7	274	10
8	263	10
9	311	10
10	292	10
11	241	10

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

3.6b

Counts

1 → 1

Compiler

Compiled 7 to 7 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.4b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite37.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

3.5b

Rules

5×	`add-sqr-sqrt_binary64_10671`
3×	`pow1_binary64_10710` `add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685` `add-cube-cbrt_binary64_10684` `-un-lft-identity_binary64_10649` `associate-l_binary64_10590` `associate-r*_binary64_10589`
2×	`sub-neg_binary64_10642` `distribute-rgt-in_binary64_10599` `cancel-sign-sub-inv_binary64_10615` `distribute-lft-in_binary64_10598` `associate-*r/_binary64_10591`
1×	`pow-prod-down_binary64_10720` `prod-exp_binary64_10698` `add-log-exp_binary64_10688` `cbrt-unprod_binary64_10682` `unswap-sqr_binary64_10617` `flip3--_binary64_10653` `flip--_binary64_10624` `*-commutative_binary64_10580`

Counts

1 → 24

Calls

1 calls:

7.0ms

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

Compiler

Compiled 340 to 178 computations (47.6% saved)

series173.0ms (2.9%)

Error

3.5b

Counts

1 → 15

Calls

1 calls:

165.0ms

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

Compiler

Compiled 249 to 171 computations (31.3% saved)

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

761×	`distribute-rgt-in_binary64_10599`
706×	`distribute-lft-in_binary64_10598`
618×	`distribute-neg-out_binary64_10611`
287×	`associate-l_binary64_10590`
262×	`*-commutative_binary64_10580`
224×	`associate-r_binary64_10589`
191×	`associate-+l+_binary64_10582`
181×	`neg-sub0_binary64_10644`
170×	`neg-mul-1_binary64_10645`
125×	`cancel-sign-sub-inv_binary64_10615`
123×	`distribute-rgt-neg-out_binary64_10609` `distribute-lft-neg-out_binary64_10608`
117×	`distribute-neg-in_binary64_10610`
108×	`associate-+r+_binary64_10581`
105×	`exp-prod_binary64_10701`
96×	`times-frac_binary64_10655`
83×	`sqr-pow_binary64_10621`
80×	`distribute-rgt-neg-in_binary64_10607`
73×	`distribute-lft-neg-in_binary64_10606`
59×	`sub-neg_binary64_10642`
53×	`unsub-neg_binary64_10643`
52×	`mul0-rgt_binary64_10632` `mul0-lft_binary64_10631`
50×	`unswap-sqr_binary64_10617`
47×	`*-lft-identity_binary64_10638`
46×	`exp-sum_binary64_10695`
42×	`*-rgt-identity_binary64_10639`
32×	`cancel-sign-sub_binary64_10614`
28×	`swap-sqr_binary64_10616`
20×	`cube-prod_binary64_10677`
19×	`exp-diff_binary64_10697` `associate-+l-_binary64_10584`
17×	`mul-1-neg_binary64_10641`
11×	`log-prod_binary64_10735` `sub0-neg_binary64_10636`
10×	`div-sub_binary64_10654` `pow-sqr_binary64_10622` `associate-+r-_binary64_10583` `+-commutative_binary64_10579`
9×	`cube-unmult_binary64_10686` `sqr-neg_binary64_10663` `rem-sqrt-square_binary64_10662`
8×	`+-rgt-identity_binary64_10634`
7×	`unpow1/2_binary64_10713` `difference-of-sqr-1_binary64_10619` `associate-/l*_binary64_10594`
6×	`unpow3_binary64_10715`
5×	`cube-mult_binary64_10679`
4×	`distribute-neg-frac_binary64_10613`
3×	`cube-neg_binary64_10676` `distribute-frac-neg_binary64_10612` `distribute-rgt-out--_binary64_10603`
2×	`pow-plus_binary64_10712` `--rgt-identity_binary64_10635` `difference-of-sqr--1_binary64_10620`
1×	`1-exp_binary64_10693` `exp-1-e_binary64_10692` `remove-double-neg_binary64_10637` `+-lft-identity_binary64_10633` `distribute-rgt1-in_binary64_10605` `count-2_binary64_10597` `associate-/l/_binary64_10596` `associate-*r/_binary64_10591`
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_10912` `erf-erfc_binary64_10911` `erf-odd_binary64_10910` `if-if-and-not_binary64_10909` `if-if-and_binary64_10908` `if-if-or-not_binary64_10907` `if-if-or_binary64_10906` `if-not_binary64_10905` `if-same_binary64_10904` `if-false_binary64_10903` `if-true_binary64_10902` `not-gte_binary64_10901` `not-lte_binary64_10900` `not-gt_binary64_10899` `not-lt_binary64_10898` `gte-same_binary64_10897` `lte-same_binary64_10896` `gt-same_binary64_10895` `lt-same_binary64_10894` `sinh---cosh_binary64_10841` `sinh-+-cosh_binary64_10840` `sinh-cosh_binary64_10839` `tanh-def-c_binary64_10838` `tanh-def-b_binary64_10837` `tanh-def-a_binary64_10836` `cosh-def_binary64_10835` `sinh-def_binary64_10834` `tan-neg_binary64_10781` `cos-neg_binary64_10780` `sin-neg_binary64_10779` `tan-0_binary64_10778` `cos-0_binary64_10777` `sin-0_binary64_10776` `hang-m-tan_binary64_10775` `hang-p-tan_binary64_10774` `hang-m0-tan_binary64_10773` `hang-p0-tan_binary64_10772` `hang-0m-tan_binary64_10771` `hang-0p-tan_binary64_10770` `tan-+PI/2_binary64_10769` `tan-+PI_binary64_10768` `tan-PI_binary64_10767` `tan-PI/3_binary64_10766` `tan-PI/4_binary64_10765` `tan-PI/6_binary64_10764` `cos-+PI/2_binary64_10763` `cos-+PI_binary64_10762` `cos-PI_binary64_10761` `cos-PI/2_binary64_10760` `cos-PI/3_binary64_10759` `cos-PI/4_binary64_10758` `cos-PI/6_binary64_10757` `sin-+PI/2_binary64_10756` `sin-+PI_binary64_10755` `sin-PI_binary64_10754` `sin-PI/2_binary64_10753` `sin-PI/3_binary64_10752` `sin-PI/4_binary64_10751` `sin-PI/6_binary64_10750` `sub-1-sin_binary64_10749` `sub-1-cos_binary64_10748` `-1-add-sin_binary64_10747` `-1-add-cos_binary64_10746` `1-sub-sin_binary64_10745` `1-sub-cos_binary64_10744` `cos-sin-sum_binary64_10743` `log-E_binary64_10739` `log-pow_binary64_10738` `log-rec_binary64_10737` `log-div_binary64_10736` `pow-base-0_binary64_10733` `unpow1/3_binary64_10716` `unpow2_binary64_10714` `exp-to-pow_binary64_10711` `pow-base-1_binary64_10709` `unpow0_binary64_10708` `unpow1_binary64_10707` `unpow-1_binary64_10706` `exp-lft-cube_binary64_10705` `exp-lft-sqr_binary64_10704` `exp-cbrt_binary64_10703` `exp-sqrt_binary64_10702` `div-exp_binary64_10700` `rec-exp_binary64_10699` `prod-exp_binary64_10698` `exp-neg_binary64_10696` `e-exp-1_binary64_10694` `exp-0_binary64_10691` `rem-log-exp_binary64_10690` `rem-exp-log_binary64_10689` `cube-div_binary64_10678` `rem-3cbrt-rft_binary64_10675` `rem-3cbrt-lft_binary64_10674` `rem-cbrt-cube_binary64_10673` `rem-cube-cbrt_binary64_10672` `sqr-abs_binary64_10664` `rem-square-sqrt_binary64_10661` `/-rgt-identity_binary64_10640` `div0_binary64_10630` `-inverses_binary64_10629` `+-inverses_binary64_10628` `lft-mult-inverse_binary64_10627` `rgt-mult-inverse_binary64_10626` `remove-double-div_binary64_10625` `difference-of-squares_binary64_10618` `distribute-lft1-in_binary64_10604` `distribute-rgt-out_binary64_10602` `distribute-lft-out--_binary64_10601` `distribute-lft-out_binary64_10600` `associate-/r/_binary64_10595` `associate-/r_binary64_10593` `associate-*l/_binary64_10592` `associate--r-_binary64_10588` `associate--l-_binary64_10587` `associate--l+_binary64_10586` `associate--r+_binary64_10585`

Counts

39 → 31

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	471
1	133	429
2	411	429
3	1126	429
4	2879	429
5	4779	429
6	4868	429

prune37.0ms (0.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	24	7	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	7	32

Error

3.5b

Counts

32 → 7

Compiler

Compiled 456 to 240 computations (47.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (neg.f64 (.f64 x (.f64 z y))))
6.1b	(.f64 x (.f64 z y))

rewrite40.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_10710` `add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685`
6×	`add-log-exp_binary64_10688`
5×	`*-un-lft-identity_binary64_10649`
3×	`pow-prod-down_binary64_10720` `prod-exp_binary64_10698` `add-cube-cbrt_binary64_10684` `cbrt-unprod_binary64_10682` `add-sqr-sqrt_binary64_10671` `associate-l_binary64_10590`
2×	`sum-log_binary64_10740`
1×	`associate-r_binary64_10589` `*-commutative_binary64_10580` `neg-log_binary64_10742` `flip3-+_binary64_10652` `unsub-neg_binary64_10643` `flip-+_binary64_10623` `distribute-lft-out_binary64_10600` `neg-sub0_binary64_10644` `associate-+r-_binary64_10583` `+-commutative_binary64_10579`

Counts

2 → 33

Calls

2 calls:

5.0ms	(.f64 x (.f64 z y))
4.0ms	(+.f64 x (neg.f64 (.f64 x (.f64 z y))))

Compiler

Compiled 475 to 141 computations (70.3% saved)

series328.0ms (5.5%)

Error

3.4b

Counts

2 → 24

Calls

2 calls:

177.0ms	(+.f64 x (neg.f64 (.f64 x (.f64 z y))))
138.0ms	(.f64 x (.f64 z y))

Compiler

Compiled 471 to 305 computations (35.2% saved)

simplify101.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

574×	`unsub-neg_binary64_10643`
445×	`distribute-rgt-neg-in_binary64_10607`
365×	`distribute-lft-neg-in_binary64_10606`
315×	`neg-sub0_binary64_10644`
303×	`neg-mul-1_binary64_10645`
256×	`distribute-rgt-in_binary64_10599`
246×	`*-commutative_binary64_10580`
216×	`distribute-lft-neg-out_binary64_10608` `distribute-rgt-out_binary64_10602`
202×	`distribute-lft-in_binary64_10598`
200×	`distribute-rgt-neg-out_binary64_10609`
179×	`cancel-sign-sub-inv_binary64_10615`
130×	`times-frac_binary64_10655`
124×	`exp-prod_binary64_10701`
123×	`distribute-rgt-out--_binary64_10603`
118×	`log-prod_binary64_10735`
117×	`cube-prod_binary64_10677`
110×	`associate-r_binary64_10589`
108×	`associate-l_binary64_10590`
93×	`distribute-lft-out_binary64_10600`
85×	`associate-+l-_binary64_10584`
81×	`distribute-neg-in_binary64_10610`
79×	`cancel-sign-sub_binary64_10614`
78×	`distribute-neg-out_binary64_10611`
66×	`sqr-pow_binary64_10621`
58×	`sub-neg_binary64_10642`
57×	`associate--r+_binary64_10585`
51×	`div-sub_binary64_10654`
48×	`exp-sum_binary64_10695` `unswap-sqr_binary64_10617`
42×	`swap-sqr_binary64_10616`
39×	`associate-/l*_binary64_10594`
36×	`associate--l+_binary64_10586`
34×	`exp-diff_binary64_10697`
33×	`remove-double-neg_binary64_10637` `mul0-rgt_binary64_10632` `mul0-lft_binary64_10631`
31×	`distribute-lft-out--_binary64_10601`
28×	`associate-+l+_binary64_10582`
27×	`associate-+r+_binary64_10581`
26×	`distribute-rgt1-in_binary64_10605`
22×	`+-commutative_binary64_10579`
21×	`associate--l-_binary64_10587`
17×	`cube-neg_binary64_10676` `associate--r-_binary64_10588`
14×	`unpow3_binary64_10715` `associate-/r*_binary64_10593`
13×	`difference-of-squares_binary64_10618`
12×	`cube-mult_binary64_10679` `rem-sqrt-square_binary64_10662` `distribute-lft1-in_binary64_10604`
9×	`sqr-neg_binary64_10663`
8×	`sub0-neg_binary64_10636`
7×	`pow-sqr_binary64_10622`
6×	`associate-*r/_binary64_10591`
5×	`pow-plus_binary64_10712` `cube-unmult_binary64_10686` `associate-/l/_binary64_10596` `associate-/r/_binary64_10595` `associate-*l/_binary64_10592`
4×	`mul-1-neg_binary64_10641` `+-rgt-identity_binary64_10634` `distribute-frac-neg_binary64_10612`
2×	`rec-exp_binary64_10699` `associate-+r-_binary64_10583`
1×	`unpow1/2_binary64_10713` `div-exp_binary64_10700` `prod-exp_binary64_10698` `exp-neg_binary64_10696` `1-exp_binary64_10693` `exp-1-e_binary64_10692` `/-rgt-identity_binary64_10640` `-rgt-identity_binary64_10639` `-lft-identity_binary64_10638` `--rgt-identity_binary64_10635`
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_10912` `erf-erfc_binary64_10911` `erf-odd_binary64_10910` `if-if-and-not_binary64_10909` `if-if-and_binary64_10908` `if-if-or-not_binary64_10907` `if-if-or_binary64_10906` `if-not_binary64_10905` `if-same_binary64_10904` `if-false_binary64_10903` `if-true_binary64_10902` `not-gte_binary64_10901` `not-lte_binary64_10900` `not-gt_binary64_10899` `not-lt_binary64_10898` `gte-same_binary64_10897` `lte-same_binary64_10896` `gt-same_binary64_10895` `lt-same_binary64_10894` `sinh---cosh_binary64_10841` `sinh-+-cosh_binary64_10840` `sinh-cosh_binary64_10839` `tanh-def-c_binary64_10838` `tanh-def-b_binary64_10837` `tanh-def-a_binary64_10836` `cosh-def_binary64_10835` `sinh-def_binary64_10834` `tan-neg_binary64_10781` `cos-neg_binary64_10780` `sin-neg_binary64_10779` `tan-0_binary64_10778` `cos-0_binary64_10777` `sin-0_binary64_10776` `hang-m-tan_binary64_10775` `hang-p-tan_binary64_10774` `hang-m0-tan_binary64_10773` `hang-p0-tan_binary64_10772` `hang-0m-tan_binary64_10771` `hang-0p-tan_binary64_10770` `tan-+PI/2_binary64_10769` `tan-+PI_binary64_10768` `tan-PI_binary64_10767` `tan-PI/3_binary64_10766` `tan-PI/4_binary64_10765` `tan-PI/6_binary64_10764` `cos-+PI/2_binary64_10763` `cos-+PI_binary64_10762` `cos-PI_binary64_10761` `cos-PI/2_binary64_10760` `cos-PI/3_binary64_10759` `cos-PI/4_binary64_10758` `cos-PI/6_binary64_10757` `sin-+PI/2_binary64_10756` `sin-+PI_binary64_10755` `sin-PI_binary64_10754` `sin-PI/2_binary64_10753` `sin-PI/3_binary64_10752` `sin-PI/4_binary64_10751` `sin-PI/6_binary64_10750` `sub-1-sin_binary64_10749` `sub-1-cos_binary64_10748` `-1-add-sin_binary64_10747` `-1-add-cos_binary64_10746` `1-sub-sin_binary64_10745` `1-sub-cos_binary64_10744` `cos-sin-sum_binary64_10743` `log-E_binary64_10739` `log-pow_binary64_10738` `log-rec_binary64_10737` `log-div_binary64_10736` `pow-base-0_binary64_10733` `unpow1/3_binary64_10716` `unpow2_binary64_10714` `exp-to-pow_binary64_10711` `pow-base-1_binary64_10709` `unpow0_binary64_10708` `unpow1_binary64_10707` `unpow-1_binary64_10706` `exp-lft-cube_binary64_10705` `exp-lft-sqr_binary64_10704` `exp-cbrt_binary64_10703` `exp-sqrt_binary64_10702` `e-exp-1_binary64_10694` `exp-0_binary64_10691` `rem-log-exp_binary64_10690` `rem-exp-log_binary64_10689` `cube-div_binary64_10678` `rem-3cbrt-rft_binary64_10675` `rem-3cbrt-lft_binary64_10674` `rem-cbrt-cube_binary64_10673` `rem-cube-cbrt_binary64_10672` `sqr-abs_binary64_10664` `rem-square-sqrt_binary64_10661` `+-lft-identity_binary64_10633` `div0_binary64_10630` `*-inverses_binary64_10629` `+-inverses_binary64_10628` `lft-mult-inverse_binary64_10627` `rgt-mult-inverse_binary64_10626` `remove-double-div_binary64_10625` `difference-of-sqr--1_binary64_10620` `difference-of-sqr-1_binary64_10619` `distribute-neg-frac_binary64_10613` `count-2_binary64_10597`

Counts

57 → 31

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	628
1	192	555
2	716	548
3	1848	548
4	4050	548
5	4988	548
6	4892	548

prune31.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	30	8	38

Error

3.4b

Counts

38 → 8

Compiler

Compiled 439 to 187 computations (57.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 (cbrt.f64 (-.f64 1 (.f64 z y))) (cbrt.f64 (-.f64 1 (.f64 z y)))))
3.6b	(cbrt.f64 (-.f64 1 (*.f64 z y)))
3.6b	(cbrt.f64 (-.f64 1 (*.f64 z y)))
3.6b	(cbrt.f64 (-.f64 1 (*.f64 y z)))

rewrite133.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

3.4b

Rules

18×	`cbrt-div_binary64_10681`
10×	`associate-*r/_binary64_10591`
9×	`pow1_binary64_10710` `add-exp-log_binary64_10687` `flip3--_binary64_10653` `flip--_binary64_10624` `cbrt-prod_binary64_10680` `add-sqr-sqrt_binary64_10671`
8×	`add-cube-cbrt_binary64_10684` `*-un-lft-identity_binary64_10649`
7×	`add-cbrt-cube_binary64_10685`
4×	`add-log-exp_binary64_10688` `frac-times_binary64_10659`
3×	`pow1/3_binary64_10731` `pow-prod-down_binary64_10720` `prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `associate-l_binary64_10590`
2×	`associate-*l/_binary64_10592`
1×	`unswap-sqr_binary64_10617` `associate-r_binary64_10589` `*-commutative_binary64_10580`

Counts

4 → 66

Calls

4 calls:

13.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 1 (.f64 z y))) (cbrt.f64 (-.f64 1 (.f64 z y)))))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))

Compiler

Compiled 2168 to 1227 computations (43.4% saved)

series1.1s (18.9%)

Error

3.4b

Counts

4 → 63

Calls

4 calls:

564.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 1 (.f64 z y))) (cbrt.f64 (-.f64 1 (.f64 z y)))))
155.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
155.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
148.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

Compiler

Compiled 4933 to 3662 computations (25.8% saved)

simplify143.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

949×	`times-frac_binary64_10655`
455×	`cancel-sign-sub-inv_binary64_10615`
295×	`distribute-rgt-neg-in_binary64_10607`
277×	`distribute-lft-neg-in_binary64_10606`
178×	`associate-r_binary64_10589`
132×	`associate-l_binary64_10590`
125×	`exp-sum_binary64_10695`
115×	`distribute-neg-frac_binary64_10613` `distribute-rgt-in_binary64_10599`
114×	`exp-prod_binary64_10701`
105×	`*-commutative_binary64_10580`
95×	`distribute-lft-in_binary64_10598`
94×	`sub-neg_binary64_10642`
83×	`associate-/r*_binary64_10593`
71×	`distribute-rgt-out_binary64_10602`
66×	`neg-mul-1_binary64_10645` `neg-sub0_binary64_10644`
62×	`associate-/l*_binary64_10594`
54×	`sqr-pow_binary64_10621`
49×	`+-commutative_binary64_10579`
44×	`exp-diff_binary64_10697` `associate-*r/_binary64_10591`
43×	`unswap-sqr_binary64_10617`
40×	`log-prod_binary64_10735`
34×	`distribute-neg-in_binary64_10610`
32×	`distribute-lft-out_binary64_10600`
30×	`unsub-neg_binary64_10643`
28×	`associate-*l/_binary64_10592`
27×	`distribute-lft-neg-out_binary64_10608`
26×	`exp-neg_binary64_10696`
23×	`log-pow_binary64_10738`
18×	`exp-to-pow_binary64_10711` `associate--r+_binary64_10585`
17×	`swap-sqr_binary64_10616`
16×	`distribute-rgt-neg-out_binary64_10609`
14×	`cube-prod_binary64_10677` `/-rgt-identity_binary64_10640`
12×	`distribute-neg-out_binary64_10611`
10×	`*-lft-identity_binary64_10638`
9×	`pow-sqr_binary64_10622`
8×	`unpow1/3_binary64_10716` `exp-lft-sqr_binary64_10704` `div-sub_binary64_10654` `distribute-rgt1-in_binary64_10605` `associate-+r+_binary64_10581`
7×	`unpow3_binary64_10715` `associate-+l+_binary64_10582`
6×	`*-rgt-identity_binary64_10639` `distribute-lft-out--_binary64_10601` `associate-/r/_binary64_10595`
5×	`log-div_binary64_10736`
4×	`pow-plus_binary64_10712` `cube-unmult_binary64_10686` `cube-mult_binary64_10679` `remove-double-neg_binary64_10637` `distribute-rgt-out--_binary64_10603` `associate--r-_binary64_10588`
3×	`unpow2_binary64_10714` `unpow1/2_binary64_10713` `unpow1_binary64_10707` `rec-exp_binary64_10699` `associate--l+_binary64_10586`
2×	`log-rec_binary64_10737` `rem-3cbrt-lft_binary64_10674` `distribute-lft1-in_binary64_10604`
1×	`1-exp_binary64_10693` `rem-cbrt-cube_binary64_10673` `rem-sqrt-square_binary64_10662` `count-2_binary64_10597`
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_10912` `erf-erfc_binary64_10911` `erf-odd_binary64_10910` `if-if-and-not_binary64_10909` `if-if-and_binary64_10908` `if-if-or-not_binary64_10907` `if-if-or_binary64_10906` `if-not_binary64_10905` `if-same_binary64_10904` `if-false_binary64_10903` `if-true_binary64_10902` `not-gte_binary64_10901` `not-lte_binary64_10900` `not-gt_binary64_10899` `not-lt_binary64_10898` `gte-same_binary64_10897` `lte-same_binary64_10896` `gt-same_binary64_10895` `lt-same_binary64_10894` `sinh---cosh_binary64_10841` `sinh-+-cosh_binary64_10840` `sinh-cosh_binary64_10839` `tanh-def-c_binary64_10838` `tanh-def-b_binary64_10837` `tanh-def-a_binary64_10836` `cosh-def_binary64_10835` `sinh-def_binary64_10834` `tan-neg_binary64_10781` `cos-neg_binary64_10780` `sin-neg_binary64_10779` `tan-0_binary64_10778` `cos-0_binary64_10777` `sin-0_binary64_10776` `hang-m-tan_binary64_10775` `hang-p-tan_binary64_10774` `hang-m0-tan_binary64_10773` `hang-p0-tan_binary64_10772` `hang-0m-tan_binary64_10771` `hang-0p-tan_binary64_10770` `tan-+PI/2_binary64_10769` `tan-+PI_binary64_10768` `tan-PI_binary64_10767` `tan-PI/3_binary64_10766` `tan-PI/4_binary64_10765` `tan-PI/6_binary64_10764` `cos-+PI/2_binary64_10763` `cos-+PI_binary64_10762` `cos-PI_binary64_10761` `cos-PI/2_binary64_10760` `cos-PI/3_binary64_10759` `cos-PI/4_binary64_10758` `cos-PI/6_binary64_10757` `sin-+PI/2_binary64_10756` `sin-+PI_binary64_10755` `sin-PI_binary64_10754` `sin-PI/2_binary64_10753` `sin-PI/3_binary64_10752` `sin-PI/4_binary64_10751` `sin-PI/6_binary64_10750` `sub-1-sin_binary64_10749` `sub-1-cos_binary64_10748` `-1-add-sin_binary64_10747` `-1-add-cos_binary64_10746` `1-sub-sin_binary64_10745` `1-sub-cos_binary64_10744` `cos-sin-sum_binary64_10743` `log-E_binary64_10739` `pow-base-0_binary64_10733` `pow-base-1_binary64_10709` `unpow0_binary64_10708` `unpow-1_binary64_10706` `exp-lft-cube_binary64_10705` `exp-cbrt_binary64_10703` `exp-sqrt_binary64_10702` `div-exp_binary64_10700` `prod-exp_binary64_10698` `e-exp-1_binary64_10694` `exp-1-e_binary64_10692` `exp-0_binary64_10691` `rem-log-exp_binary64_10690` `rem-exp-log_binary64_10689` `cube-div_binary64_10678` `cube-neg_binary64_10676` `rem-3cbrt-rft_binary64_10675` `rem-cube-cbrt_binary64_10672` `sqr-abs_binary64_10664` `sqr-neg_binary64_10663` `rem-square-sqrt_binary64_10661` `mul-1-neg_binary64_10641` `sub0-neg_binary64_10636` `--rgt-identity_binary64_10635` `+-rgt-identity_binary64_10634` `+-lft-identity_binary64_10633` `mul0-rgt_binary64_10632` `mul0-lft_binary64_10631` `div0_binary64_10630` `*-inverses_binary64_10629` `+-inverses_binary64_10628` `lft-mult-inverse_binary64_10627` `rgt-mult-inverse_binary64_10626` `remove-double-div_binary64_10625` `difference-of-sqr--1_binary64_10620` `difference-of-sqr-1_binary64_10619` `difference-of-squares_binary64_10618` `cancel-sign-sub_binary64_10614` `distribute-frac-neg_binary64_10612` `associate-/l/_binary64_10596` `associate--l-_binary64_10587` `associate-+l-_binary64_10584` `associate-+r-_binary64_10583`

Counts

129 → 90

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	3021
1	530	2844
2	1747	2542
3	4630	2470
4	4988	2470
5	4968	2470

prune146.0ms (2.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	90	8	98

Error

3.4b

Counts

98 → 8

Compiler

Compiled 2780 to 1563 computations (43.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
1.3b	(.f64 (-.f64 1 (.f64 z y)) (cbrt.f64 x))
2.3b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 1 (.f64 z y)) (cbrt.f64 x)))

rewrite94.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

3.4b

Rules

18×	`pow1_binary64_10710` `add-exp-log_binary64_10687`
13×	`add-sqr-sqrt_binary64_10671`
11×	`add-cbrt-cube_binary64_10685`
10×	`cbrt-prod_binary64_10680`
9×	`pow-prod-down_binary64_10720` `prod-exp_binary64_10698` `add-cube-cbrt_binary64_10684` `cbrt-unprod_binary64_10682` `*-un-lft-identity_binary64_10649`
7×	`associate-r_binary64_10589`
4×	`add-log-exp_binary64_10688` `associate-l/_binary64_10592` `associate-l*_binary64_10590`
2×	`flip3--_binary64_10653` `associate-r/_binary64_10591` `flip--_binary64_10624` `-commutative_binary64_10580` `unswap-sqr_binary64_10617` `pow1/3_binary64_10731`

Counts

4 → 70

Calls

4 calls:

13.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 1 (.f64 z y)) (cbrt.f64 x)))
7.0ms	(.f64 (-.f64 1 (.f64 z y)) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1494 to 541 computations (63.8% saved)

series899.0ms (15.1%)

Error

3.4b

Counts

4 → 36

Calls

4 calls:

474.0ms	(.f64 (-.f64 1 (.f64 z y)) (cbrt.f64 x))
188.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 1 (.f64 z y)) (cbrt.f64 x)))
109.0ms	(cbrt.f64 x)
105.0ms	(cbrt.f64 x)

Compiler

Compiled 1182 to 804 computations (32% saved)

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

534×	`associate-+l+_binary64_10582`
344×	`*-commutative_binary64_10580`
274×	`distribute-lft-neg-out_binary64_10608`
267×	`distribute-rgt-neg-out_binary64_10609`
257×	`unswap-sqr_binary64_10617`
256×	`distribute-rgt-in_binary64_10599`
252×	`distribute-lft-in_binary64_10598`
205×	`distribute-rgt-neg-in_binary64_10607`
183×	`associate-l_binary64_10590`
175×	`distribute-lft-neg-in_binary64_10606`
169×	`associate-r_binary64_10589`
140×	`exp-prod_binary64_10701`
118×	`cancel-sign-sub-inv_binary64_10615`
93×	`sqr-pow_binary64_10621`
86×	`neg-sub0_binary64_10644`
84×	`log-prod_binary64_10735`
79×	`neg-mul-1_binary64_10645`
62×	`cube-prod_binary64_10677`
58×	`unsub-neg_binary64_10643`
57×	`associate-+l-_binary64_10584`
45×	`sub-neg_binary64_10642`
43×	`exp-sum_binary64_10695`
36×	`*-rgt-identity_binary64_10639`
35×	`-lft-identity_binary64_10638` `associate-/l_binary64_10594`
34×	`swap-sqr_binary64_10616`
32×	`distribute-neg-in_binary64_10610`
17×	`exp-diff_binary64_10697`
15×	`pow-sqr_binary64_10622` `associate-+r+_binary64_10581`
14×	`distribute-rgt-out_binary64_10602` `associate-/r*_binary64_10593` `associate-+r-_binary64_10583`
13×	`distribute-neg-out_binary64_10611`
11×	`remove-double-neg_binary64_10637` `+-commutative_binary64_10579`
9×	`cube-unmult_binary64_10686` `div-sub_binary64_10654` `associate-*r/_binary64_10591`
8×	`unpow3_binary64_10715` `pow-plus_binary64_10712` `distribute-lft-out_binary64_10600` `associate-/l/_binary64_10596`
7×	`cube-mult_binary64_10679` `distribute-rgt-out--_binary64_10603`
6×	`log-pow_binary64_10738` `sqr-neg_binary64_10663` `mul-1-neg_binary64_10641` `distribute-rgt1-in_binary64_10605` `count-2_binary64_10597` `associate-/r/_binary64_10595`
5×	`sub0-neg_binary64_10636`
4×	`rem-sqrt-square_binary64_10662` `difference-of-sqr-1_binary64_10619` `associate--r+_binary64_10585`
3×	`exp-neg_binary64_10696` `cube-neg_binary64_10676`
2×	`unpow1/3_binary64_10716` `+-rgt-identity_binary64_10634` `distribute-frac-neg_binary64_10612` `distribute-lft-out--_binary64_10601`
1×	`unpow1/2_binary64_10713` `1-exp_binary64_10693` `exp-1-e_binary64_10692` `rem-3cbrt-lft_binary64_10674` `rem-cube-cbrt_binary64_10672` `associate-*l/_binary64_10592` `associate--r-_binary64_10588`
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_10912` `erf-erfc_binary64_10911` `erf-odd_binary64_10910` `if-if-and-not_binary64_10909` `if-if-and_binary64_10908` `if-if-or-not_binary64_10907` `if-if-or_binary64_10906` `if-not_binary64_10905` `if-same_binary64_10904` `if-false_binary64_10903` `if-true_binary64_10902` `not-gte_binary64_10901` `not-lte_binary64_10900` `not-gt_binary64_10899` `not-lt_binary64_10898` `gte-same_binary64_10897` `lte-same_binary64_10896` `gt-same_binary64_10895` `lt-same_binary64_10894` `sinh---cosh_binary64_10841` `sinh-+-cosh_binary64_10840` `sinh-cosh_binary64_10839` `tanh-def-c_binary64_10838` `tanh-def-b_binary64_10837` `tanh-def-a_binary64_10836` `cosh-def_binary64_10835` `sinh-def_binary64_10834` `tan-neg_binary64_10781` `cos-neg_binary64_10780` `sin-neg_binary64_10779` `tan-0_binary64_10778` `cos-0_binary64_10777` `sin-0_binary64_10776` `hang-m-tan_binary64_10775` `hang-p-tan_binary64_10774` `hang-m0-tan_binary64_10773` `hang-p0-tan_binary64_10772` `hang-0m-tan_binary64_10771` `hang-0p-tan_binary64_10770` `tan-+PI/2_binary64_10769` `tan-+PI_binary64_10768` `tan-PI_binary64_10767` `tan-PI/3_binary64_10766` `tan-PI/4_binary64_10765` `tan-PI/6_binary64_10764` `cos-+PI/2_binary64_10763` `cos-+PI_binary64_10762` `cos-PI_binary64_10761` `cos-PI/2_binary64_10760` `cos-PI/3_binary64_10759` `cos-PI/4_binary64_10758` `cos-PI/6_binary64_10757` `sin-+PI/2_binary64_10756` `sin-+PI_binary64_10755` `sin-PI_binary64_10754` `sin-PI/2_binary64_10753` `sin-PI/3_binary64_10752` `sin-PI/4_binary64_10751` `sin-PI/6_binary64_10750` `sub-1-sin_binary64_10749` `sub-1-cos_binary64_10748` `-1-add-sin_binary64_10747` `-1-add-cos_binary64_10746` `1-sub-sin_binary64_10745` `1-sub-cos_binary64_10744` `cos-sin-sum_binary64_10743` `log-E_binary64_10739` `log-rec_binary64_10737` `log-div_binary64_10736` `pow-base-0_binary64_10733` `unpow2_binary64_10714` `exp-to-pow_binary64_10711` `pow-base-1_binary64_10709` `unpow0_binary64_10708` `unpow1_binary64_10707` `unpow-1_binary64_10706` `exp-lft-cube_binary64_10705` `exp-lft-sqr_binary64_10704` `exp-cbrt_binary64_10703` `exp-sqrt_binary64_10702` `div-exp_binary64_10700` `rec-exp_binary64_10699` `prod-exp_binary64_10698` `e-exp-1_binary64_10694` `exp-0_binary64_10691` `rem-log-exp_binary64_10690` `rem-exp-log_binary64_10689` `cube-div_binary64_10678` `rem-3cbrt-rft_binary64_10675` `rem-cbrt-cube_binary64_10673` `sqr-abs_binary64_10664` `rem-square-sqrt_binary64_10661` `times-frac_binary64_10655` `/-rgt-identity_binary64_10640` `--rgt-identity_binary64_10635` `+-lft-identity_binary64_10633` `mul0-rgt_binary64_10632` `mul0-lft_binary64_10631` `div0_binary64_10630` `*-inverses_binary64_10629` `+-inverses_binary64_10628` `lft-mult-inverse_binary64_10627` `rgt-mult-inverse_binary64_10626` `remove-double-div_binary64_10625` `difference-of-sqr--1_binary64_10620` `difference-of-squares_binary64_10618` `cancel-sign-sub_binary64_10614` `distribute-neg-frac_binary64_10613` `distribute-lft1-in_binary64_10604` `associate--l-_binary64_10587` `associate--l+_binary64_10586`

Counts

106 → 68

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	1596
1	247	1141
2	914	1121
3	2106	1121
4	5295	1121

prune50.0ms (0.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	67	9	76

Error

3.4b

Counts

76 → 9

Compiler

Compiled 907 to 348 computations (61.6% saved)

regimes628.0ms (10.5%)

Accuracy

Total 0.1b remaining (82.6%)

Threshold costs 0.1b (82.6%)

Compiler

Compiled 3942 to 3010 computations (23.6% saved)

bsearch3.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

21×	`neg-mul-1_binary64_10645` `neg-sub0_binary64_10644`
15×	`distribute-rgt-neg-in_binary64_10607` `distribute-lft-neg-in_binary64_10606`
14×	`*-commutative_binary64_10580`
10×	`+-commutative_binary64_10579`
8×	`sub-neg_binary64_10642` `*-rgt-identity_binary64_10639` `distribute-rgt-neg-out_binary64_10609`
7×	`*-lft-identity_binary64_10638` `distribute-lft-neg-out_binary64_10608`
6×	`unsub-neg_binary64_10643`
5×	`cancel-sign-sub-inv_binary64_10615`
1×	`if-if-or-not_binary64_10907` `1-exp_binary64_10693`
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_10909` `if-if-and_binary64_10908` `if-if-or_binary64_10906` `if-not_binary64_10905` `if-same_binary64_10904` `if-false_binary64_10903` `if-true_binary64_10902` `tan-0_binary64_10778` `cos-0_binary64_10777` `sin-0_binary64_10776` `unpow1_binary64_10707` `e-exp-1_binary64_10694` `exp-1-e_binary64_10692` `exp-0_binary64_10691` `sqr-abs_binary64_10664` `sqr-neg_binary64_10663` `mul-1-neg_binary64_10641` `/-rgt-identity_binary64_10640` `remove-double-neg_binary64_10637` `sub0-neg_binary64_10636` `--rgt-identity_binary64_10635` `+-rgt-identity_binary64_10634` `+-lft-identity_binary64_10633` `cancel-sign-sub_binary64_10614` `distribute-neg-frac_binary64_10613` `distribute-frac-neg_binary64_10612` `distribute-neg-out_binary64_10611` `distribute-neg-in_binary64_10610`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	42
1	48	40
2	72	40
3	90	40
4	98	40
5	99	40
6	126	40
7	125	40
8	123	40

Compiler

Compiled 54 to 32 computations (40.7% saved)

end0.0ms (0%)

sample1.3s (21.2%)

Algorithm

1×

intervals

Results

196.0ms	8000×	body	128	valid
18.0ms	525×	body	128	invalid

Compiler

Compiled 607 to 457 computations (24.7% saved)

Iter	Nodes	Cost
0	17	40
1	39	40
2	77	40
3	117	40
4	211	40
5	253	40
6	277	40
7	455	40
8	425	40
9	423	40
10	420	40
11	420	40
12	361	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	8	10
1	17	10
2	32	10
3	66	10
4	153	10
5	174	10
6	189	10
7	274	10
8	263	10
9	311	10
10	292	10
11	241	10

Iter	Nodes	Cost
0	17	40
1	39	40
2	77	40
3	117	40
4	211	40
5	253	40
6	277	40
7	455	40
8	425	40
9	423	40
10	420	40
11	420	40
12	361	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	8	10
1	17	10
2	32	10
3	66	10
4	153	10
5	174	10
6	189	10
7	274	10
8	263	10
9	311	10
10	292	10
11	241	10

Details

analyze492.0ms (8.3%)

sample22.0ms (0.4%)

simplify20.0ms (0.3%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite37.0ms (0.6%)

series173.0ms (2.9%)

simplify73.0ms (1.2%)

prune37.0ms (0.6%)

localize6.0ms (0.1%)

rewrite40.0ms (0.7%)

series328.0ms (5.5%)

simplify101.0ms (1.7%)

prune31.0ms (0.5%)

localize12.0ms (0.2%)

rewrite133.0ms (2.2%)

series1.1s (18.9%)

simplify143.0ms (2.4%)

prune146.0ms (2.5%)

localize9.0ms (0.1%)

rewrite94.0ms (1.6%)

series899.0ms (15.1%)

simplify75.0ms (1.3%)

prune50.0ms (0.8%)

regimes628.0ms (10.5%)

bsearch3.0ms (0%)

simplify13.0ms (0.2%)

end0.0ms (0%)

sample1.3s (21.2%)

Profiling

Iter	Nodes	Cost
0	17	40
1	39	40
2	77	40
3	117	40
4	211	40
5	253	40
6	277	40
7	455	40
8	425	40
9	423	40
10	420	40
11	420	40
12	361	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	8	10
1	17	10
2	32	10
3	66	10
4	153	10
5	174	10
6	189	10
7	274	10
8	263	10
9	311	10
10	292	10
11	241	10