Details

analyze801.0ms (5.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

1102×	`unsub-neg_binary64_20873`
713×	`neg-mul-1_binary64_20875`
693×	`neg-sub0_binary64_20874`
520×	`div-sub_binary64_20884`
466×	`distribute-neg-out_binary64_20841`
437×	`associate-+l-_binary64_20814`
405×	`distribute-frac-neg_binary64_20842`
325×	`distribute-rgt-in_binary64_20829`
275×	`associate--r+_binary64_20815`
240×	`associate-+r+_binary64_20811`
231×	`associate-+l+_binary64_20812`
195×	`associate-l_binary64_20820`
165×	`distribute-lft-in_binary64_20828`
161×	`distribute-rgt-out_binary64_20832`
159×	`distribute-lft-neg-out_binary64_20838`
150×	`associate--l+_binary64_20816`
141×	`distribute-rgt-neg-out_binary64_20839` `associate-r_binary64_20819`
135×	`sub-neg_binary64_20872`
126×	`*-commutative_binary64_20810`
121×	`sub0-neg_binary64_20866`
108×	`remove-double-neg_binary64_20867` `cancel-sign-sub-inv_binary64_20845`
92×	`+-commutative_binary64_20809`
91×	`/-rgt-identity_binary64_20870`
89×	`associate-+r-_binary64_20813`
56×	`times-frac_binary64_20885`
55×	`distribute-lft-neg-in_binary64_20836`
54×	`distribute-neg-in_binary64_20840` `distribute-rgt-neg-in_binary64_20837`
52×	`associate-/r*_binary64_20823`
45×	`associate--r-_binary64_20818`
36×	`associate-/l*_binary64_20824`
34×	`+-rgt-identity_binary64_20864`
32×	`div0_binary64_20860` `distribute-neg-frac_binary64_20843`
24×	`distribute-rgt-out--_binary64_20833` `associate--l-_binary64_20817`
21×	`mul0-rgt_binary64_20862` `mul0-lft_binary64_20861`
19×	`--rgt-identity_binary64_20865`
18×	`*-lft-identity_binary64_20868`
14×	`distribute-lft-out_binary64_20830`
12×	`*-rgt-identity_binary64_20869`
10×	`mul-1-neg_binary64_20871`
8×	`swap-sqr_binary64_20846`
4×	`sqr-neg_binary64_20893`
1×	`1-exp_binary64_20923` `swap-y-t`
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_21142` `erf-erfc_binary64_21141` `erf-odd_binary64_21140` `if-if-and-not_binary64_21139` `if-if-and_binary64_21138` `if-if-or-not_binary64_21137` `if-if-or_binary64_21136` `if-not_binary64_21135` `if-same_binary64_21134` `if-false_binary64_21133` `if-true_binary64_21132` `not-gte_binary64_21131` `not-lte_binary64_21130` `not-gt_binary64_21129` `not-lt_binary64_21128` `gte-same_binary64_21127` `lte-same_binary64_21126` `gt-same_binary64_21125` `lt-same_binary64_21124` `sinh---cosh_binary64_21071` `sinh-+-cosh_binary64_21070` `sinh-cosh_binary64_21069` `tanh-def-c_binary64_21068` `tanh-def-b_binary64_21067` `tanh-def-a_binary64_21066` `cosh-def_binary64_21065` `sinh-def_binary64_21064` `tan-neg_binary64_21011` `cos-neg_binary64_21010` `sin-neg_binary64_21009` `tan-0_binary64_21008` `cos-0_binary64_21007` `sin-0_binary64_21006` `hang-m-tan_binary64_21005` `hang-p-tan_binary64_21004` `hang-m0-tan_binary64_21003` `hang-p0-tan_binary64_21002` `hang-0m-tan_binary64_21001` `hang-0p-tan_binary64_21000` `tan-+PI/2_binary64_20999` `tan-+PI_binary64_20998` `tan-PI_binary64_20997` `tan-PI/3_binary64_20996` `tan-PI/4_binary64_20995` `tan-PI/6_binary64_20994` `cos-+PI/2_binary64_20993` `cos-+PI_binary64_20992` `cos-PI_binary64_20991` `cos-PI/2_binary64_20990` `cos-PI/3_binary64_20989` `cos-PI/4_binary64_20988` `cos-PI/6_binary64_20987` `sin-+PI/2_binary64_20986` `sin-+PI_binary64_20985` `sin-PI_binary64_20984` `sin-PI/2_binary64_20983` `sin-PI/3_binary64_20982` `sin-PI/4_binary64_20981` `sin-PI/6_binary64_20980` `sub-1-sin_binary64_20979` `sub-1-cos_binary64_20978` `-1-add-sin_binary64_20977` `-1-add-cos_binary64_20976` `1-sub-sin_binary64_20975` `1-sub-cos_binary64_20974` `cos-sin-sum_binary64_20973` `log-E_binary64_20969` `log-pow_binary64_20968` `log-rec_binary64_20967` `log-div_binary64_20966` `log-prod_binary64_20965` `pow-base-0_binary64_20963` `unpow1/3_binary64_20946` `unpow3_binary64_20945` `unpow2_binary64_20944` `unpow1/2_binary64_20943` `pow-plus_binary64_20942` `exp-to-pow_binary64_20941` `pow-base-1_binary64_20939` `unpow0_binary64_20938` `unpow1_binary64_20937` `unpow-1_binary64_20936` `exp-lft-cube_binary64_20935` `exp-lft-sqr_binary64_20934` `exp-cbrt_binary64_20933` `exp-sqrt_binary64_20932` `exp-prod_binary64_20931` `div-exp_binary64_20930` `rec-exp_binary64_20929` `prod-exp_binary64_20928` `exp-diff_binary64_20927` `exp-neg_binary64_20926` `exp-sum_binary64_20925` `e-exp-1_binary64_20924` `exp-1-e_binary64_20922` `exp-0_binary64_20921` `rem-log-exp_binary64_20920` `rem-exp-log_binary64_20919` `cube-unmult_binary64_20916` `cube-mult_binary64_20909` `cube-div_binary64_20908` `cube-prod_binary64_20907` `cube-neg_binary64_20906` `rem-3cbrt-rft_binary64_20905` `rem-3cbrt-lft_binary64_20904` `rem-cbrt-cube_binary64_20903` `rem-cube-cbrt_binary64_20902` `sqr-abs_binary64_20894` `rem-sqrt-square_binary64_20892` `rem-square-sqrt_binary64_20891` `+-lft-identity_binary64_20863` `-inverses_binary64_20859` `+-inverses_binary64_20858` `lft-mult-inverse_binary64_20857` `rgt-mult-inverse_binary64_20856` `remove-double-div_binary64_20855` `pow-sqr_binary64_20852` `sqr-pow_binary64_20851` `difference-of-sqr--1_binary64_20850` `difference-of-sqr-1_binary64_20849` `difference-of-squares_binary64_20848` `unswap-sqr_binary64_20847` `cancel-sign-sub_binary64_20844` `distribute-rgt1-in_binary64_20835` `distribute-lft1-in_binary64_20834` `distribute-lft-out--_binary64_20831` `count-2_binary64_20827` `associate-/l/_binary64_20826` `associate-/r/_binary64_20825` `associate-l/_binary64_20822` `associate-*r/_binary64_20821`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	91
1	59	91
2	154	91
3	366	91
4	850	91
5	1604	91
6	3257	91
7	4085	91
8	4372	91
9	4894	91
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
41.7%	58.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

Symmetry

(sort y t)

Compiler

Compiled 10 to 9 computations (10% saved)

sample27.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	18×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

246×	`distribute-rgt-in_binary64_20829`
216×	`unsub-neg_binary64_20873`
135×	`cancel-sign-sub-inv_binary64_20845`
118×	`sub-neg_binary64_20872`
111×	`distribute-lft-in_binary64_20828` `associate--r+_binary64_20815`
94×	`associate-+l-_binary64_20814`
86×	`associate-+l+_binary64_20812`
77×	`distribute-neg-in_binary64_20840`
75×	`distribute-neg-out_binary64_20841`
74×	`associate-+r+_binary64_20811`
72×	`associate--l+_binary64_20816`
64×	`neg-sub0_binary64_20874`
61×	`distribute-lft-neg-out_binary64_20838`
51×	`distribute-rgt-neg-out_binary64_20839`
50×	`neg-mul-1_binary64_20875` `*-commutative_binary64_20810`
48×	`associate-l_binary64_20820`
47×	`associate-r_binary64_20819`
38×	`distribute-rgt-out_binary64_20832`
37×	`associate--r-_binary64_20818`
33×	`distribute-lft-neg-in_binary64_20836`
32×	`distribute-rgt-neg-in_binary64_20837`
30×	`associate--l-_binary64_20817`
29×	`associate-/r*_binary64_20823`
23×	`sub0-neg_binary64_20866`
20×	`+-commutative_binary64_20809`
18×	`distribute-rgt-out--_binary64_20833` `associate-+r-_binary64_20813`
17×	`remove-double-neg_binary64_20867`
15×	`distribute-lft-out_binary64_20830` `associate-/l/_binary64_20826`
14×	`*-rgt-identity_binary64_20869`
13×	`mul0-rgt_binary64_20862` `mul0-lft_binary64_20861`
7×	`*-lft-identity_binary64_20868`
5×	`+-rgt-identity_binary64_20864` `distribute-lft-out--_binary64_20831`
4×	`/-rgt-identity_binary64_20870`
2×	`swap-sqr_binary64_20846`
1×	`1-exp_binary64_20923` `sqr-neg_binary64_20893` `mul-1-neg_binary64_20871` `--rgt-identity_binary64_20865`
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_21142` `erf-erfc_binary64_21141` `erf-odd_binary64_21140` `if-if-and-not_binary64_21139` `if-if-and_binary64_21138` `if-if-or-not_binary64_21137` `if-if-or_binary64_21136` `if-not_binary64_21135` `if-same_binary64_21134` `if-false_binary64_21133` `if-true_binary64_21132` `not-gte_binary64_21131` `not-lte_binary64_21130` `not-gt_binary64_21129` `not-lt_binary64_21128` `gte-same_binary64_21127` `lte-same_binary64_21126` `gt-same_binary64_21125` `lt-same_binary64_21124` `sinh---cosh_binary64_21071` `sinh-+-cosh_binary64_21070` `sinh-cosh_binary64_21069` `tanh-def-c_binary64_21068` `tanh-def-b_binary64_21067` `tanh-def-a_binary64_21066` `cosh-def_binary64_21065` `sinh-def_binary64_21064` `tan-neg_binary64_21011` `cos-neg_binary64_21010` `sin-neg_binary64_21009` `tan-0_binary64_21008` `cos-0_binary64_21007` `sin-0_binary64_21006` `hang-m-tan_binary64_21005` `hang-p-tan_binary64_21004` `hang-m0-tan_binary64_21003` `hang-p0-tan_binary64_21002` `hang-0m-tan_binary64_21001` `hang-0p-tan_binary64_21000` `tan-+PI/2_binary64_20999` `tan-+PI_binary64_20998` `tan-PI_binary64_20997` `tan-PI/3_binary64_20996` `tan-PI/4_binary64_20995` `tan-PI/6_binary64_20994` `cos-+PI/2_binary64_20993` `cos-+PI_binary64_20992` `cos-PI_binary64_20991` `cos-PI/2_binary64_20990` `cos-PI/3_binary64_20989` `cos-PI/4_binary64_20988` `cos-PI/6_binary64_20987` `sin-+PI/2_binary64_20986` `sin-+PI_binary64_20985` `sin-PI_binary64_20984` `sin-PI/2_binary64_20983` `sin-PI/3_binary64_20982` `sin-PI/4_binary64_20981` `sin-PI/6_binary64_20980` `sub-1-sin_binary64_20979` `sub-1-cos_binary64_20978` `-1-add-sin_binary64_20977` `-1-add-cos_binary64_20976` `1-sub-sin_binary64_20975` `1-sub-cos_binary64_20974` `cos-sin-sum_binary64_20973` `log-E_binary64_20969` `log-pow_binary64_20968` `log-rec_binary64_20967` `log-div_binary64_20966` `log-prod_binary64_20965` `pow-base-0_binary64_20963` `unpow1/3_binary64_20946` `unpow3_binary64_20945` `unpow2_binary64_20944` `unpow1/2_binary64_20943` `pow-plus_binary64_20942` `exp-to-pow_binary64_20941` `pow-base-1_binary64_20939` `unpow0_binary64_20938` `unpow1_binary64_20937` `unpow-1_binary64_20936` `exp-lft-cube_binary64_20935` `exp-lft-sqr_binary64_20934` `exp-cbrt_binary64_20933` `exp-sqrt_binary64_20932` `exp-prod_binary64_20931` `div-exp_binary64_20930` `rec-exp_binary64_20929` `prod-exp_binary64_20928` `exp-diff_binary64_20927` `exp-neg_binary64_20926` `exp-sum_binary64_20925` `e-exp-1_binary64_20924` `exp-1-e_binary64_20922` `exp-0_binary64_20921` `rem-log-exp_binary64_20920` `rem-exp-log_binary64_20919` `cube-unmult_binary64_20916` `cube-mult_binary64_20909` `cube-div_binary64_20908` `cube-prod_binary64_20907` `cube-neg_binary64_20906` `rem-3cbrt-rft_binary64_20905` `rem-3cbrt-lft_binary64_20904` `rem-cbrt-cube_binary64_20903` `rem-cube-cbrt_binary64_20902` `sqr-abs_binary64_20894` `rem-sqrt-square_binary64_20892` `rem-square-sqrt_binary64_20891` `times-frac_binary64_20885` `div-sub_binary64_20884` `+-lft-identity_binary64_20863` `div0_binary64_20860` `-inverses_binary64_20859` `+-inverses_binary64_20858` `lft-mult-inverse_binary64_20857` `rgt-mult-inverse_binary64_20856` `remove-double-div_binary64_20855` `pow-sqr_binary64_20852` `sqr-pow_binary64_20851` `difference-of-sqr--1_binary64_20850` `difference-of-sqr-1_binary64_20849` `difference-of-squares_binary64_20848` `unswap-sqr_binary64_20847` `cancel-sign-sub_binary64_20844` `distribute-neg-frac_binary64_20843` `distribute-frac-neg_binary64_20842` `distribute-rgt1-in_binary64_20835` `distribute-lft1-in_binary64_20834` `count-2_binary64_20827` `associate-/r/_binary64_20825` `associate-/l_binary64_20824` `associate-l/_binary64_20822` `associate-r/_binary64_20821`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	35	13
3	82	13
4	201	13
5	386	13
6	710	13
7	850	13
8	858	13
9	815	13
10	815	13
11	772	13

prune6.0ms (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

7.5b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 t z))
7.5b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))

rewrite94.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_20901`
12×	`*-un-lft-identity_binary64_20879` `flip3--_binary64_20883` `flip--_binary64_20854`
9×	`add-exp-log_binary64_20917` `add-cbrt-cube_binary64_20915`
8×	`add-cube-cbrt_binary64_20914` `frac-times_binary64_20889` `associate-/r/_binary64_20825`
6×	`cancel-sign-sub-inv_binary64_20845`
5×	`associate-l_binary64_20820` `associate-r_binary64_20819`
4×	`pow1_binary64_20940` `associate-l/_binary64_20822` `associate-r/_binary64_20821` `distribute-rgt-in_binary64_20829` `distribute-lft-in_binary64_20828`
3×	`times-frac_binary64_20885` `associate-/l*_binary64_20824`
2×	`prod-exp_binary64_20928` `div-exp_binary64_20930` `add-log-exp_binary64_20918` `cbrt-undiv_binary64_20913` `cbrt-unprod_binary64_20912` `sub-neg_binary64_20872` `difference-of-squares_binary64_20848` `distribute-lft-out--_binary64_20831`
1×	`frac-2neg_binary64_20890` `clear-num_binary64_20878` `div-inv_binary64_20876` `associate-/r_binary64_20823` `pow-prod-down_binary64_20950` `unswap-sqr_binary64_20847` `-commutative_binary64_20810`

Counts

2 → 67

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y z) (-.f64 t z))
10.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))

Compiler

Compiled 1248 to 314 computations (74.8% saved)

series1.2s (8.5%)

Error

7.4b

Counts

2 → 47

Calls

2 calls:

856.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))
251.0ms	(*.f64 (-.f64 y z) (-.f64 t z))

Compiler

Compiled 2797 to 1723 computations (38.4% saved)

simplify84.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

801×	`distribute-rgt-in_binary64_20829`
229×	`times-frac_binary64_20885`
206×	`associate-/r*_binary64_20823`
176×	`cancel-sign-sub-inv_binary64_20845`
159×	`associate-/l*_binary64_20824`
132×	`associate-l_binary64_20820`
127×	`distribute-neg-frac_binary64_20843`
125×	`unswap-sqr_binary64_20847`
122×	`associate-r_binary64_20819`
112×	`distribute-rgt-neg-in_binary64_20837`
111×	`*-commutative_binary64_20810`
102×	`distribute-lft-neg-in_binary64_20836`
93×	`sub-neg_binary64_20872` `distribute-lft-in_binary64_20828`
68×	`neg-sub0_binary64_20874`
64×	`neg-mul-1_binary64_20875`
63×	`+-commutative_binary64_20809`
60×	`distribute-neg-in_binary64_20840`
57×	`distribute-rgt-neg-out_binary64_20839`
56×	`div-sub_binary64_20884`
55×	`distribute-lft-neg-out_binary64_20838`
50×	`unsub-neg_binary64_20873`
41×	`sqr-pow_binary64_20851`
36×	`associate-*l/_binary64_20822`
34×	`associate-*r/_binary64_20821`
33×	`distribute-rgt-out_binary64_20832`
28×	`associate-+r+_binary64_20811`
27×	`associate-+l+_binary64_20812`
23×	`exp-prod_binary64_20931`
22×	`associate-/r/_binary64_20825`
21×	`associate--l+_binary64_20816` `associate--r+_binary64_20815`
20×	`*-lft-identity_binary64_20868`
18×	`*-rgt-identity_binary64_20869`
15×	`swap-sqr_binary64_20846`
13×	`cube-prod_binary64_20907`
11×	`/-rgt-identity_binary64_20870`
9×	`log-div_binary64_20966` `log-prod_binary64_20965` `exp-sum_binary64_20925` `difference-of-squares_binary64_20848`
8×	`distribute-rgt-out--_binary64_20833`
5×	`unpow2_binary64_20944` `unpow1/2_binary64_20943` `unpow1_binary64_20937` `exp-diff_binary64_20927` `rem-sqrt-square_binary64_20892` `distribute-lft-out--_binary64_20831` `distribute-lft-out_binary64_20830`
4×	`unpow3_binary64_20945` `cube-unmult_binary64_20916` `cube-mult_binary64_20909` `cube-div_binary64_20908` `mul-1-neg_binary64_20871` `+-rgt-identity_binary64_20864` `associate-+r-_binary64_20813`
3×	`distribute-rgt1-in_binary64_20835`
2×	`log-pow_binary64_20968` `div0_binary64_20860` `distribute-lft1-in_binary64_20834`
1×	`pow-plus_binary64_20942` `1-exp_binary64_20923` `exp-1-e_binary64_20922` `rem-3cbrt-lft_binary64_20904` `sqr-neg_binary64_20893` `rem-square-sqrt_binary64_20891` `remove-double-neg_binary64_20867` `pow-sqr_binary64_20852` `distribute-neg-out_binary64_20841`
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_21142` `erf-erfc_binary64_21141` `erf-odd_binary64_21140` `if-if-and-not_binary64_21139` `if-if-and_binary64_21138` `if-if-or-not_binary64_21137` `if-if-or_binary64_21136` `if-not_binary64_21135` `if-same_binary64_21134` `if-false_binary64_21133` `if-true_binary64_21132` `not-gte_binary64_21131` `not-lte_binary64_21130` `not-gt_binary64_21129` `not-lt_binary64_21128` `gte-same_binary64_21127` `lte-same_binary64_21126` `gt-same_binary64_21125` `lt-same_binary64_21124` `sinh---cosh_binary64_21071` `sinh-+-cosh_binary64_21070` `sinh-cosh_binary64_21069` `tanh-def-c_binary64_21068` `tanh-def-b_binary64_21067` `tanh-def-a_binary64_21066` `cosh-def_binary64_21065` `sinh-def_binary64_21064` `tan-neg_binary64_21011` `cos-neg_binary64_21010` `sin-neg_binary64_21009` `tan-0_binary64_21008` `cos-0_binary64_21007` `sin-0_binary64_21006` `hang-m-tan_binary64_21005` `hang-p-tan_binary64_21004` `hang-m0-tan_binary64_21003` `hang-p0-tan_binary64_21002` `hang-0m-tan_binary64_21001` `hang-0p-tan_binary64_21000` `tan-+PI/2_binary64_20999` `tan-+PI_binary64_20998` `tan-PI_binary64_20997` `tan-PI/3_binary64_20996` `tan-PI/4_binary64_20995` `tan-PI/6_binary64_20994` `cos-+PI/2_binary64_20993` `cos-+PI_binary64_20992` `cos-PI_binary64_20991` `cos-PI/2_binary64_20990` `cos-PI/3_binary64_20989` `cos-PI/4_binary64_20988` `cos-PI/6_binary64_20987` `sin-+PI/2_binary64_20986` `sin-+PI_binary64_20985` `sin-PI_binary64_20984` `sin-PI/2_binary64_20983` `sin-PI/3_binary64_20982` `sin-PI/4_binary64_20981` `sin-PI/6_binary64_20980` `sub-1-sin_binary64_20979` `sub-1-cos_binary64_20978` `-1-add-sin_binary64_20977` `-1-add-cos_binary64_20976` `1-sub-sin_binary64_20975` `1-sub-cos_binary64_20974` `cos-sin-sum_binary64_20973` `log-E_binary64_20969` `log-rec_binary64_20967` `pow-base-0_binary64_20963` `unpow1/3_binary64_20946` `exp-to-pow_binary64_20941` `pow-base-1_binary64_20939` `unpow0_binary64_20938` `unpow-1_binary64_20936` `exp-lft-cube_binary64_20935` `exp-lft-sqr_binary64_20934` `exp-cbrt_binary64_20933` `exp-sqrt_binary64_20932` `div-exp_binary64_20930` `rec-exp_binary64_20929` `prod-exp_binary64_20928` `exp-neg_binary64_20926` `e-exp-1_binary64_20924` `exp-0_binary64_20921` `rem-log-exp_binary64_20920` `rem-exp-log_binary64_20919` `cube-neg_binary64_20906` `rem-3cbrt-rft_binary64_20905` `rem-cbrt-cube_binary64_20903` `rem-cube-cbrt_binary64_20902` `sqr-abs_binary64_20894` `sub0-neg_binary64_20866` `--rgt-identity_binary64_20865` `+-lft-identity_binary64_20863` `mul0-rgt_binary64_20862` `mul0-lft_binary64_20861` `*-inverses_binary64_20859` `+-inverses_binary64_20858` `lft-mult-inverse_binary64_20857` `rgt-mult-inverse_binary64_20856` `remove-double-div_binary64_20855` `difference-of-sqr--1_binary64_20850` `difference-of-sqr-1_binary64_20849` `cancel-sign-sub_binary64_20844` `distribute-frac-neg_binary64_20842` `count-2_binary64_20827` `associate-/l/_binary64_20826` `associate--r-_binary64_20818` `associate--l-_binary64_20817` `associate-+l-_binary64_20814`

Counts

114 → 85

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	2549
1	658	2333
2	2785	2187
3	5219	2187

prune91.0ms (0.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	77	8	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	8	86

Error

0.0b

Counts

86 → 8

Compiler

Compiled 1630 to 455 computations (72.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (-.f64 t z))
0.6b	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 t z))))
2.3b	(/.f64 (-.f64 y z) (/.f64 x (-.f64 t z)))

rewrite1.0s (7.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

1260×	`times-frac_binary64_20885`
844×	`add-sqr-sqrt_binary64_20901` `*-un-lft-identity_binary64_20879`
468×	`add-cube-cbrt_binary64_20914`
188×	`difference-of-squares_binary64_20848` `distribute-lft-out--_binary64_20831`
136×	`associate-/r*_binary64_20823`
60×	`associate-/r/_binary64_20825`
33×	`div-inv_binary64_20876`
31×	`add-exp-log_binary64_20917`
28×	`flip3--_binary64_20883` `flip--_binary64_20854`
19×	`div-exp_binary64_20930` `add-cbrt-cube_binary64_20915`
11×	`associate-/l*_binary64_20824`
10×	`cbrt-undiv_binary64_20913`
4×	`pow1_binary64_20940`
3×	`add-log-exp_binary64_20918` `frac-2neg_binary64_20890` `clear-num_binary64_20878` `1-exp_binary64_20923` `rec-exp_binary64_20929`
2×	`associate-/l/_binary64_20826`
1×	`div-sub_binary64_20884` `inv-pow_binary64_20964` `pow-flip_binary64_20953`

Counts

3 → 654

Calls

3 calls:

32.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 t z))))
13.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 t z)))
5.0ms	(/.f64 x (-.f64 t z))

Compiler

Compiled 17761 to 5109 computations (71.2% saved)

series1.4s (10.2%)

Error

0.0b

Counts

3 → 74

Calls

3 calls:

651.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 t z))))
473.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 t z)))
182.0ms	(/.f64 x (-.f64 t z))

Compiler

Compiled 4333 to 2727 computations (37.1% saved)

simplify410.0ms (3%)

Algorithm

1×	egg-herbie

Rules

908×	`associate-/r/_binary64_20825`
512×	`associate-/l/_binary64_20826`
364×	`times-frac_binary64_20885`
166×	`distribute-rgt-in_binary64_20829`
146×	`distribute-lft-in_binary64_20828`
125×	`associate-/l*_binary64_20824`
112×	`sub-neg_binary64_20872`
111×	`div-sub_binary64_20884`
42×	`*-commutative_binary64_20810`
39×	`neg-sub0_binary64_20874` `+-commutative_binary64_20809`
38×	`distribute-neg-in_binary64_20840`
34×	`neg-mul-1_binary64_20875` `associate-/r*_binary64_20823`
28×	`distribute-neg-frac_binary64_20843`
23×	`cancel-sign-sub-inv_binary64_20845`
20×	`remove-double-div_binary64_20855` `sqr-pow_binary64_20851`
14×	`/-rgt-identity_binary64_20870` `associate-+r+_binary64_20811`
13×	`associate-*r/_binary64_20821`
12×	`distribute-rgt-neg-in_binary64_20837`
9×	`mul-1-neg_binary64_20871` `unswap-sqr_binary64_20847` `distribute-lft-neg-in_binary64_20836`
8×	`log-div_binary64_20966`
7×	`unsub-neg_binary64_20873` `associate--l+_binary64_20816` `associate--r+_binary64_20815`
5×	`unpow2_binary64_20944` `unpow1_binary64_20937` `distribute-rgt-out_binary64_20832` `associate-l/_binary64_20822` `associate-l*_binary64_20820`
4×	`log-prod_binary64_20965` `unpow3_binary64_20945` `cube-unmult_binary64_20916` `cube-mult_binary64_20909` `swap-sqr_binary64_20846` `associate-r_binary64_20819`
3×	`log-rec_binary64_20967` `exp-prod_binary64_20931` `associate--r-_binary64_20818`
2×	`*-rgt-identity_binary64_20869` `difference-of-squares_binary64_20848` `distribute-lft-out_binary64_20830`
1×	`pow-plus_binary64_20942` `exp-diff_binary64_20927` `1-exp_binary64_20923` `cube-div_binary64_20908` `*-lft-identity_binary64_20868` `sub0-neg_binary64_20866` `distribute-lft-neg-out_binary64_20838` `distribute-rgt-out--_binary64_20833` `distribute-lft-out--_binary64_20831`
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_21142` `erf-erfc_binary64_21141` `erf-odd_binary64_21140` `if-if-and-not_binary64_21139` `if-if-and_binary64_21138` `if-if-or-not_binary64_21137` `if-if-or_binary64_21136` `if-not_binary64_21135` `if-same_binary64_21134` `if-false_binary64_21133` `if-true_binary64_21132` `not-gte_binary64_21131` `not-lte_binary64_21130` `not-gt_binary64_21129` `not-lt_binary64_21128` `gte-same_binary64_21127` `lte-same_binary64_21126` `gt-same_binary64_21125` `lt-same_binary64_21124` `sinh---cosh_binary64_21071` `sinh-+-cosh_binary64_21070` `sinh-cosh_binary64_21069` `tanh-def-c_binary64_21068` `tanh-def-b_binary64_21067` `tanh-def-a_binary64_21066` `cosh-def_binary64_21065` `sinh-def_binary64_21064` `tan-neg_binary64_21011` `cos-neg_binary64_21010` `sin-neg_binary64_21009` `tan-0_binary64_21008` `cos-0_binary64_21007` `sin-0_binary64_21006` `hang-m-tan_binary64_21005` `hang-p-tan_binary64_21004` `hang-m0-tan_binary64_21003` `hang-p0-tan_binary64_21002` `hang-0m-tan_binary64_21001` `hang-0p-tan_binary64_21000` `tan-+PI/2_binary64_20999` `tan-+PI_binary64_20998` `tan-PI_binary64_20997` `tan-PI/3_binary64_20996` `tan-PI/4_binary64_20995` `tan-PI/6_binary64_20994` `cos-+PI/2_binary64_20993` `cos-+PI_binary64_20992` `cos-PI_binary64_20991` `cos-PI/2_binary64_20990` `cos-PI/3_binary64_20989` `cos-PI/4_binary64_20988` `cos-PI/6_binary64_20987` `sin-+PI/2_binary64_20986` `sin-+PI_binary64_20985` `sin-PI_binary64_20984` `sin-PI/2_binary64_20983` `sin-PI/3_binary64_20982` `sin-PI/4_binary64_20981` `sin-PI/6_binary64_20980` `sub-1-sin_binary64_20979` `sub-1-cos_binary64_20978` `-1-add-sin_binary64_20977` `-1-add-cos_binary64_20976` `1-sub-sin_binary64_20975` `1-sub-cos_binary64_20974` `cos-sin-sum_binary64_20973` `log-E_binary64_20969` `log-pow_binary64_20968` `pow-base-0_binary64_20963` `unpow1/3_binary64_20946` `unpow1/2_binary64_20943` `exp-to-pow_binary64_20941` `pow-base-1_binary64_20939` `unpow0_binary64_20938` `unpow-1_binary64_20936` `exp-lft-cube_binary64_20935` `exp-lft-sqr_binary64_20934` `exp-cbrt_binary64_20933` `exp-sqrt_binary64_20932` `div-exp_binary64_20930` `rec-exp_binary64_20929` `prod-exp_binary64_20928` `exp-neg_binary64_20926` `exp-sum_binary64_20925` `e-exp-1_binary64_20924` `exp-1-e_binary64_20922` `exp-0_binary64_20921` `rem-log-exp_binary64_20920` `rem-exp-log_binary64_20919` `cube-prod_binary64_20907` `cube-neg_binary64_20906` `rem-3cbrt-rft_binary64_20905` `rem-3cbrt-lft_binary64_20904` `rem-cbrt-cube_binary64_20903` `rem-cube-cbrt_binary64_20902` `sqr-abs_binary64_20894` `sqr-neg_binary64_20893` `rem-sqrt-square_binary64_20892` `rem-square-sqrt_binary64_20891` `remove-double-neg_binary64_20867` `--rgt-identity_binary64_20865` `+-rgt-identity_binary64_20864` `+-lft-identity_binary64_20863` `mul0-rgt_binary64_20862` `mul0-lft_binary64_20861` `div0_binary64_20860` `*-inverses_binary64_20859` `+-inverses_binary64_20858` `lft-mult-inverse_binary64_20857` `rgt-mult-inverse_binary64_20856` `pow-sqr_binary64_20852` `difference-of-sqr--1_binary64_20850` `difference-of-sqr-1_binary64_20849` `cancel-sign-sub_binary64_20844` `distribute-frac-neg_binary64_20842` `distribute-neg-out_binary64_20841` `distribute-rgt-neg-out_binary64_20839` `distribute-rgt1-in_binary64_20835` `distribute-lft1-in_binary64_20834` `count-2_binary64_20827` `associate--l-_binary64_20817` `associate-+l-_binary64_20814` `associate-+r-_binary64_20813` `associate-+l+_binary64_20812`

Counts

728 → 600

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	715	23025
1	1912	22630
2	5016	22630

prune673.0ms (4.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	595	5	600
Fresh	6	1	7
Picked	0	1	1
Done	0	0	0
Total	601	7	608

Error

Counts

608 → 7

Compiler

Compiled 14438 to 3315 computations (77% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 y z))
1.8b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))

rewrite201.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

210×	`times-frac_binary64_20885`
176×	`add-sqr-sqrt_binary64_20901` `*-un-lft-identity_binary64_20879`
88×	`add-cube-cbrt_binary64_20914`
44×	`difference-of-squares_binary64_20848` `distribute-lft-out--_binary64_20831`
24×	`associate-/l*_binary64_20824`
16×	`associate-/r/_binary64_20825`
10×	`associate-/r*_binary64_20823`
9×	`add-exp-log_binary64_20917` `add-cbrt-cube_binary64_20915`
8×	`div-inv_binary64_20876` `flip3--_binary64_20883` `flip--_binary64_20854`
4×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913`
2×	`pow1_binary64_20940` `add-log-exp_binary64_20918` `frac-2neg_binary64_20890` `clear-num_binary64_20878`
1×	`associate-/l/_binary64_20826`

Counts

2 → 185

Calls

2 calls:

13.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))
5.0ms	(/.f64 x (-.f64 y z))

Compiler

Compiled 3948 to 773 computations (80.4% saved)

series882.0ms (6.5%)

Error

Counts

2 → 53

Calls

2 calls:

651.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))
170.0ms	(/.f64 x (-.f64 y z))

Compiler

Compiled 3233 to 2010 computations (37.8% saved)

simplify213.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

317×	`associate-/l/_binary64_20826`
282×	`neg-mul-1_binary64_20875`
279×	`associate-/r*_binary64_20823`
256×	`times-frac_binary64_20885`
233×	`div-sub_binary64_20884`
209×	`cancel-sign-sub-inv_binary64_20845`
200×	`associate-/l*_binary64_20824`
159×	`distribute-neg-frac_binary64_20843`
123×	`distribute-rgt-neg-in_binary64_20837`
120×	`distribute-lft-neg-in_binary64_20836`
117×	`sub-neg_binary64_20872`
112×	`*-commutative_binary64_20810`
107×	`unswap-sqr_binary64_20847`
94×	`associate-/r/_binary64_20825`
88×	`neg-sub0_binary64_20874`
82×	`*-rgt-identity_binary64_20869` `distribute-neg-in_binary64_20840`
79×	`+-commutative_binary64_20809`
78×	`associate-*l/_binary64_20822`
75×	`distribute-rgt-in_binary64_20829`
63×	`associate-l_binary64_20820`
62×	`associate-r_binary64_20819`
56×	`distribute-lft-in_binary64_20828`
49×	`unsub-neg_binary64_20873`
48×	`associate-*r/_binary64_20821`
43×	`associate-+l+_binary64_20812`
42×	`associate-+r+_binary64_20811`
39×	`distribute-lft-neg-out_binary64_20838`
38×	`sqr-pow_binary64_20851`
36×	`distribute-rgt-neg-out_binary64_20839`
29×	`cube-prod_binary64_20907`
24×	`/-rgt-identity_binary64_20870`
23×	`associate--r+_binary64_20815`
22×	`associate--l+_binary64_20816`
21×	`*-lft-identity_binary64_20868`
16×	`log-div_binary64_20966` `log-prod_binary64_20965`
11×	`unpow3_binary64_20945`
10×	`cube-div_binary64_20908`
8×	`cube-unmult_binary64_20916` `difference-of-squares_binary64_20848`
7×	`pow-plus_binary64_20942`
6×	`cube-mult_binary64_20909`
5×	`unpow2_binary64_20944` `unpow1/2_binary64_20943` `unpow1_binary64_20937` `rem-sqrt-square_binary64_20892`
4×	`log-pow_binary64_20968` `div0_binary64_20860` `distribute-rgt-out_binary64_20832`
3×	`mul-1-neg_binary64_20871`
2×	`swap-sqr_binary64_20846` `distribute-neg-out_binary64_20841` `distribute-lft-out_binary64_20830` `associate--r-_binary64_20818`
1×	`log-rec_binary64_20967` `1-exp_binary64_20923` `cube-neg_binary64_20906` `sqr-neg_binary64_20893` `remove-double-neg_binary64_20867` `+-rgt-identity_binary64_20864` `distribute-lft-out--_binary64_20831` `associate--l-_binary64_20817` `associate-+l-_binary64_20814` `associate-+r-_binary64_20813`
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_21142` `erf-erfc_binary64_21141` `erf-odd_binary64_21140` `if-if-and-not_binary64_21139` `if-if-and_binary64_21138` `if-if-or-not_binary64_21137` `if-if-or_binary64_21136` `if-not_binary64_21135` `if-same_binary64_21134` `if-false_binary64_21133` `if-true_binary64_21132` `not-gte_binary64_21131` `not-lte_binary64_21130` `not-gt_binary64_21129` `not-lt_binary64_21128` `gte-same_binary64_21127` `lte-same_binary64_21126` `gt-same_binary64_21125` `lt-same_binary64_21124` `sinh---cosh_binary64_21071` `sinh-+-cosh_binary64_21070` `sinh-cosh_binary64_21069` `tanh-def-c_binary64_21068` `tanh-def-b_binary64_21067` `tanh-def-a_binary64_21066` `cosh-def_binary64_21065` `sinh-def_binary64_21064` `tan-neg_binary64_21011` `cos-neg_binary64_21010` `sin-neg_binary64_21009` `tan-0_binary64_21008` `cos-0_binary64_21007` `sin-0_binary64_21006` `hang-m-tan_binary64_21005` `hang-p-tan_binary64_21004` `hang-m0-tan_binary64_21003` `hang-p0-tan_binary64_21002` `hang-0m-tan_binary64_21001` `hang-0p-tan_binary64_21000` `tan-+PI/2_binary64_20999` `tan-+PI_binary64_20998` `tan-PI_binary64_20997` `tan-PI/3_binary64_20996` `tan-PI/4_binary64_20995` `tan-PI/6_binary64_20994` `cos-+PI/2_binary64_20993` `cos-+PI_binary64_20992` `cos-PI_binary64_20991` `cos-PI/2_binary64_20990` `cos-PI/3_binary64_20989` `cos-PI/4_binary64_20988` `cos-PI/6_binary64_20987` `sin-+PI/2_binary64_20986` `sin-+PI_binary64_20985` `sin-PI_binary64_20984` `sin-PI/2_binary64_20983` `sin-PI/3_binary64_20982` `sin-PI/4_binary64_20981` `sin-PI/6_binary64_20980` `sub-1-sin_binary64_20979` `sub-1-cos_binary64_20978` `-1-add-sin_binary64_20977` `-1-add-cos_binary64_20976` `1-sub-sin_binary64_20975` `1-sub-cos_binary64_20974` `cos-sin-sum_binary64_20973` `log-E_binary64_20969` `pow-base-0_binary64_20963` `unpow1/3_binary64_20946` `exp-to-pow_binary64_20941` `pow-base-1_binary64_20939` `unpow0_binary64_20938` `unpow-1_binary64_20936` `exp-lft-cube_binary64_20935` `exp-lft-sqr_binary64_20934` `exp-cbrt_binary64_20933` `exp-sqrt_binary64_20932` `exp-prod_binary64_20931` `div-exp_binary64_20930` `rec-exp_binary64_20929` `prod-exp_binary64_20928` `exp-diff_binary64_20927` `exp-neg_binary64_20926` `exp-sum_binary64_20925` `e-exp-1_binary64_20924` `exp-1-e_binary64_20922` `exp-0_binary64_20921` `rem-log-exp_binary64_20920` `rem-exp-log_binary64_20919` `rem-3cbrt-rft_binary64_20905` `rem-3cbrt-lft_binary64_20904` `rem-cbrt-cube_binary64_20903` `rem-cube-cbrt_binary64_20902` `sqr-abs_binary64_20894` `rem-square-sqrt_binary64_20891` `sub0-neg_binary64_20866` `--rgt-identity_binary64_20865` `+-lft-identity_binary64_20863` `mul0-rgt_binary64_20862` `mul0-lft_binary64_20861` `*-inverses_binary64_20859` `+-inverses_binary64_20858` `lft-mult-inverse_binary64_20857` `rgt-mult-inverse_binary64_20856` `remove-double-div_binary64_20855` `pow-sqr_binary64_20852` `difference-of-sqr--1_binary64_20850` `difference-of-sqr-1_binary64_20849` `cancel-sign-sub_binary64_20844` `distribute-frac-neg_binary64_20842` `distribute-rgt1-in_binary64_20835` `distribute-lft1-in_binary64_20834` `distribute-rgt-out--_binary64_20833` `count-2_binary64_20827`

Counts

238 → 146

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	384	6508
1	1035	6328
2	3527	6328
3	4494	6328
4	4999	6328

prune135.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	146	7	153

Error

Counts

153 → 7

Compiler

Compiled 3148 to 683 computations (78.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (-.f64 y z))
0.0b	(/.f64 (cbrt.f64 1) (-.f64 t z))
0.2b	(.f64 (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (-.f64 y z)) x)
1.8b	(.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (-.f64 y z)) x) (/.f64 (cbrt.f64 1) (-.f64 t z)))

rewrite371.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

81×	`add-sqr-sqrt_binary64_20901`
77×	`*-un-lft-identity_binary64_20879`
71×	`times-frac_binary64_20885`
52×	`add-exp-log_binary64_20917`
45×	`add-cube-cbrt_binary64_20914`
39×	`add-cbrt-cube_binary64_20915` `associate-r_binary64_20819`
33×	`cbrt-prod_binary64_20910`
21×	`prod-exp_binary64_20928` `cbrt-unprod_binary64_20912`
16×	`difference-of-squares_binary64_20848` `distribute-lft-out--_binary64_20831`
13×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913`
12×	`associate-l_binary64_20820`
11×	`pow1_binary64_20940`
10×	`associate-/r*_binary64_20823`
8×	`associate-/r/_binary64_20825`
7×	`associate-/l*_binary64_20824`
4×	`pow-prod-down_binary64_20950` `add-log-exp_binary64_20918` `associate-*l/_binary64_20822` `div-inv_binary64_20876` `flip3--_binary64_20883` `flip--_binary64_20854`
2×	`*-commutative_binary64_20810` `unswap-sqr_binary64_20847` `frac-2neg_binary64_20890` `clear-num_binary64_20878`
1×	`frac-times_binary64_20889` `associate-*r/_binary64_20821`

Counts

4 → 180

Calls

4 calls:

21.0ms	(.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (-.f64 y z)) x) (/.f64 (cbrt.f64 1) (-.f64 t z)))
11.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (-.f64 y z)) x)
8.0ms	(/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (-.f64 y z))
6.0ms	(/.f64 (cbrt.f64 1) (-.f64 t z))

Compiler

Compiled 4989 to 3007 computations (39.7% saved)

series1.2s (8.9%)

Error

Counts

4 → 98

Calls

4 calls:

669.0ms	(.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (-.f64 y z)) x) (/.f64 (cbrt.f64 1) (-.f64 t z)))
187.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (-.f64 y z)) x)
114.0ms	(/.f64 (cbrt.f64 1) (-.f64 t z))
113.0ms	(/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (-.f64 y z))

Compiler

Compiled 5630 to 3916 computations (30.4% saved)

simplify212.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

332×	`associate-l_binary64_20820`
287×	`times-frac_binary64_20885`
281×	`associate-/l*_binary64_20824`
241×	`associate-r_binary64_20819`
216×	`associate-*l/_binary64_20822`
200×	`associate-/r*_binary64_20823`
198×	`*-commutative_binary64_20810`
193×	`associate-*r/_binary64_20821`
135×	`div-sub_binary64_20884`
124×	`sub-neg_binary64_20872`
119×	`+-commutative_binary64_20809`
114×	`unswap-sqr_binary64_20847`
101×	`log-prod_binary64_20965`
88×	`neg-sub0_binary64_20874`
84×	`neg-mul-1_binary64_20875`
79×	`associate-+l+_binary64_20812`
77×	`associate-+r+_binary64_20811`
74×	`associate-/l/_binary64_20826`
69×	`log-div_binary64_20966`
65×	`unsub-neg_binary64_20873`
63×	`*-lft-identity_binary64_20868`
58×	`cube-prod_binary64_20907` `distribute-rgt-in_binary64_20829`
55×	`distribute-neg-in_binary64_20840` `associate-/r/_binary64_20825`
54×	`exp-prod_binary64_20931` `cube-div_binary64_20908`
53×	`*-rgt-identity_binary64_20869`
52×	`sqr-pow_binary64_20851`
31×	`associate--r+_binary64_20815`
28×	`unpow3_binary64_20945` `distribute-lft-in_binary64_20828`
27×	`distribute-neg-frac_binary64_20843`
23×	`cube-mult_binary64_20909` `associate--l+_binary64_20816`
22×	`cancel-sign-sub-inv_binary64_20845`
14×	`/-rgt-identity_binary64_20870`
13×	`cube-unmult_binary64_20916`
10×	`distribute-rgt-neg-in_binary64_20837` `associate-+r-_binary64_20813`
9×	`swap-sqr_binary64_20846` `distribute-lft-neg-in_binary64_20836`
8×	`difference-of-squares_binary64_20848`
7×	`log-rec_binary64_20967` `unpow1/2_binary64_20943`
6×	`pow-plus_binary64_20942` `rem-sqrt-square_binary64_20892` `associate-+l-_binary64_20814`
5×	`unpow2_binary64_20944` `unpow1_binary64_20937`
4×	`log-pow_binary64_20968` `mul-1-neg_binary64_20871` `distribute-rgt-out_binary64_20832`
3×	`+-rgt-identity_binary64_20864`
2×	`pow-sqr_binary64_20852` `distribute-lft-out_binary64_20830` `associate--r-_binary64_20818`
1×	`1-exp_binary64_20923` `exp-1-e_binary64_20922` `cube-neg_binary64_20906` `rem-3cbrt-rft_binary64_20905` `rem-3cbrt-lft_binary64_20904` `sqr-neg_binary64_20893` `remove-double-neg_binary64_20867` `distribute-lft-neg-out_binary64_20838` `distribute-lft-out--_binary64_20831` `count-2_binary64_20827`
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_21142` `erf-erfc_binary64_21141` `erf-odd_binary64_21140` `if-if-and-not_binary64_21139` `if-if-and_binary64_21138` `if-if-or-not_binary64_21137` `if-if-or_binary64_21136` `if-not_binary64_21135` `if-same_binary64_21134` `if-false_binary64_21133` `if-true_binary64_21132` `not-gte_binary64_21131` `not-lte_binary64_21130` `not-gt_binary64_21129` `not-lt_binary64_21128` `gte-same_binary64_21127` `lte-same_binary64_21126` `gt-same_binary64_21125` `lt-same_binary64_21124` `sinh---cosh_binary64_21071` `sinh-+-cosh_binary64_21070` `sinh-cosh_binary64_21069` `tanh-def-c_binary64_21068` `tanh-def-b_binary64_21067` `tanh-def-a_binary64_21066` `cosh-def_binary64_21065` `sinh-def_binary64_21064` `tan-neg_binary64_21011` `cos-neg_binary64_21010` `sin-neg_binary64_21009` `tan-0_binary64_21008` `cos-0_binary64_21007` `sin-0_binary64_21006` `hang-m-tan_binary64_21005` `hang-p-tan_binary64_21004` `hang-m0-tan_binary64_21003` `hang-p0-tan_binary64_21002` `hang-0m-tan_binary64_21001` `hang-0p-tan_binary64_21000` `tan-+PI/2_binary64_20999` `tan-+PI_binary64_20998` `tan-PI_binary64_20997` `tan-PI/3_binary64_20996` `tan-PI/4_binary64_20995` `tan-PI/6_binary64_20994` `cos-+PI/2_binary64_20993` `cos-+PI_binary64_20992` `cos-PI_binary64_20991` `cos-PI/2_binary64_20990` `cos-PI/3_binary64_20989` `cos-PI/4_binary64_20988` `cos-PI/6_binary64_20987` `sin-+PI/2_binary64_20986` `sin-+PI_binary64_20985` `sin-PI_binary64_20984` `sin-PI/2_binary64_20983` `sin-PI/3_binary64_20982` `sin-PI/4_binary64_20981` `sin-PI/6_binary64_20980` `sub-1-sin_binary64_20979` `sub-1-cos_binary64_20978` `-1-add-sin_binary64_20977` `-1-add-cos_binary64_20976` `1-sub-sin_binary64_20975` `1-sub-cos_binary64_20974` `cos-sin-sum_binary64_20973` `log-E_binary64_20969` `pow-base-0_binary64_20963` `unpow1/3_binary64_20946` `exp-to-pow_binary64_20941` `pow-base-1_binary64_20939` `unpow0_binary64_20938` `unpow-1_binary64_20936` `exp-lft-cube_binary64_20935` `exp-lft-sqr_binary64_20934` `exp-cbrt_binary64_20933` `exp-sqrt_binary64_20932` `div-exp_binary64_20930` `rec-exp_binary64_20929` `prod-exp_binary64_20928` `exp-diff_binary64_20927` `exp-neg_binary64_20926` `exp-sum_binary64_20925` `e-exp-1_binary64_20924` `exp-0_binary64_20921` `rem-log-exp_binary64_20920` `rem-exp-log_binary64_20919` `rem-cbrt-cube_binary64_20903` `rem-cube-cbrt_binary64_20902` `sqr-abs_binary64_20894` `rem-square-sqrt_binary64_20891` `sub0-neg_binary64_20866` `--rgt-identity_binary64_20865` `+-lft-identity_binary64_20863` `mul0-rgt_binary64_20862` `mul0-lft_binary64_20861` `div0_binary64_20860` `*-inverses_binary64_20859` `+-inverses_binary64_20858` `lft-mult-inverse_binary64_20857` `rgt-mult-inverse_binary64_20856` `remove-double-div_binary64_20855` `difference-of-sqr--1_binary64_20850` `difference-of-sqr-1_binary64_20849` `cancel-sign-sub_binary64_20844` `distribute-frac-neg_binary64_20842` `distribute-neg-out_binary64_20841` `distribute-rgt-neg-out_binary64_20839` `distribute-rgt1-in_binary64_20835` `distribute-lft1-in_binary64_20834` `distribute-rgt-out--_binary64_20833` `associate--l-_binary64_20817`

Counts

278 → 198

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	384	7172
1	1065	5742
2	4285	5738
3	4752	5726
4	5127	5726

prune235.0ms (1.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	198	7	205

Error

Counts

205 → 7

Compiler

Compiled 4606 to 2215 computations (51.9% saved)

regimes1.6s (11.4%)

Accuracy

Total 1.2b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 16894 to 12184 computations (27.9% saved)

bsearch0.0ms (0%)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64_20872` `+-commutative_binary64_20809`
2×	`*-commutative_binary64_20810`
1×	`1-exp_binary64_20923` `neg-mul-1_binary64_20875` `neg-sub0_binary64_20874`
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_21139` `if-if-and_binary64_21138` `if-if-or-not_binary64_21137` `if-if-or_binary64_21136` `if-not_binary64_21135` `if-same_binary64_21134` `if-false_binary64_21133` `if-true_binary64_21132` `tan-0_binary64_21008` `cos-0_binary64_21007` `sin-0_binary64_21006` `unpow1_binary64_20937` `e-exp-1_binary64_20924` `exp-1-e_binary64_20922` `exp-0_binary64_20921` `sqr-abs_binary64_20894` `sqr-neg_binary64_20893` `unsub-neg_binary64_20873` `mul-1-neg_binary64_20871` `/-rgt-identity_binary64_20870` `-rgt-identity_binary64_20869` `-lft-identity_binary64_20868` `remove-double-neg_binary64_20867` `sub0-neg_binary64_20866` `--rgt-identity_binary64_20865` `+-rgt-identity_binary64_20864` `+-lft-identity_binary64_20863` `cancel-sign-sub-inv_binary64_20845` `cancel-sign-sub_binary64_20844` `distribute-neg-frac_binary64_20843` `distribute-frac-neg_binary64_20842` `distribute-neg-out_binary64_20841` `distribute-neg-in_binary64_20840` `distribute-rgt-neg-out_binary64_20839` `distribute-lft-neg-out_binary64_20838` `distribute-rgt-neg-in_binary64_20837` `distribute-lft-neg-in_binary64_20836`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	76
1	29	76
2	34	76
3	36	76
4	37	76
5	36	76

Remove

(sort y t)

Compiler

Compiled 94 to 52 computations (44.7% saved)

end0.0ms (0%)

sample2.8s (20.3%)

Algorithm

1×

intervals

Results

258.0ms	8000×	body	128	valid
16.0ms	416×	body	128	invalid

Compiler

Compiled 2851 to 2050 computations (28.1% saved)

Iter	Nodes	Cost
0	9	13
1	15	13
2	35	13
3	82	13
4	201	13
5	386	13
6	710	13
7	850	13
8	858	13
9	815	13
10	815	13
11	772	13

Iter	Nodes	Cost
0	9	13
1	15	13
2	35	13
3	82	13
4	201	13
5	386	13
6	710	13
7	850	13
8	858	13
9	815	13
10	815	13
11	772	13

Details

analyze801.0ms (5.9%)

sample27.0ms (0.2%)

simplify48.0ms (0.4%)

prune6.0ms (0%)

localize7.0ms (0%)

rewrite94.0ms (0.7%)

series1.2s (8.5%)

simplify84.0ms (0.6%)

prune91.0ms (0.7%)

localize8.0ms (0.1%)

rewrite1.0s (7.6%)

series1.4s (10.2%)

simplify410.0ms (3%)

prune673.0ms (4.9%)

localize7.0ms (0.1%)

rewrite201.0ms (1.5%)

series882.0ms (6.5%)

simplify213.0ms (1.6%)

prune135.0ms (1%)

localize11.0ms (0.1%)

rewrite371.0ms (2.7%)

series1.2s (8.9%)

simplify212.0ms (1.6%)

prune235.0ms (1.7%)

regimes1.6s (11.4%)

bsearch0.0ms (0%)

simplify16.0ms (0.1%)

end0.0ms (0%)

sample2.8s (20.3%)

Profiling

Iter	Nodes	Cost
0	9	13
1	15	13
2	35	13
3	82	13
4	201	13
5	386	13
6	710	13
7	850	13
8	858	13
9	815	13
10	815	13
11	772	13