Details

analyze525.0ms (8.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

285×	`unsub-neg_binary64_21896`
246×	`distribute-rgt-in_binary64_21852`
156×	`distribute-lft-in_binary64_21851`
140×	`associate-r_binary64_21842`
131×	`cancel-sign-sub-inv_binary64_21868`
118×	`associate-l_binary64_21843`
117×	`sub-neg_binary64_21895`
110×	`neg-mul-1_binary64_21898` `distribute-rgt-neg-out_binary64_21862`
107×	`associate--r+_binary64_21838`
105×	`neg-sub0_binary64_21897`
98×	`distribute-lft-neg-out_binary64_21861`
88×	`associate-+l-_binary64_21837`
79×	`distribute-rgt-neg-in_binary64_21860`
73×	`distribute-lft-neg-in_binary64_21859`
71×	`distribute-neg-out_binary64_21864` `*-commutative_binary64_21833`
49×	`associate-+r+_binary64_21834`
38×	`associate-+l+_binary64_21835` `+-commutative_binary64_21832`
34×	`remove-double-neg_binary64_21890`
32×	`distribute-rgt-out--_binary64_21856`
30×	`mul0-rgt_binary64_21885`
28×	`mul0-lft_binary64_21884`
26×	`associate--r-_binary64_21841`
25×	`distribute-neg-in_binary64_21863` `associate--l-_binary64_21840`
22×	`sub0-neg_binary64_21889`
16×	`*-rgt-identity_binary64_21892` `associate--l+_binary64_21839`
14×	`*-lft-identity_binary64_21891` `distribute-rgt-out_binary64_21855`
10×	`associate-+r-_binary64_21836`
7×	`+-rgt-identity_binary64_21887` `distribute-rgt1-in_binary64_21858`
5×	`distribute-lft1-in_binary64_21857`
3×	`+-lft-identity_binary64_21886` `distribute-lft-out--_binary64_21854`
2×	`mul-1-neg_binary64_21894` `distribute-lft-out_binary64_21853`
1×	`1-exp_binary64_21946`
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_22165` `erf-erfc_binary64_22164` `erf-odd_binary64_22163` `if-if-and-not_binary64_22162` `if-if-and_binary64_22161` `if-if-or-not_binary64_22160` `if-if-or_binary64_22159` `if-not_binary64_22158` `if-same_binary64_22157` `if-false_binary64_22156` `if-true_binary64_22155` `not-gte_binary64_22154` `not-lte_binary64_22153` `not-gt_binary64_22152` `not-lt_binary64_22151` `gte-same_binary64_22150` `lte-same_binary64_22149` `gt-same_binary64_22148` `lt-same_binary64_22147` `sinh---cosh_binary64_22094` `sinh-+-cosh_binary64_22093` `sinh-cosh_binary64_22092` `tanh-def-c_binary64_22091` `tanh-def-b_binary64_22090` `tanh-def-a_binary64_22089` `cosh-def_binary64_22088` `sinh-def_binary64_22087` `tan-neg_binary64_22034` `cos-neg_binary64_22033` `sin-neg_binary64_22032` `tan-0_binary64_22031` `cos-0_binary64_22030` `sin-0_binary64_22029` `hang-m-tan_binary64_22028` `hang-p-tan_binary64_22027` `hang-m0-tan_binary64_22026` `hang-p0-tan_binary64_22025` `hang-0m-tan_binary64_22024` `hang-0p-tan_binary64_22023` `tan-+PI/2_binary64_22022` `tan-+PI_binary64_22021` `tan-PI_binary64_22020` `tan-PI/3_binary64_22019` `tan-PI/4_binary64_22018` `tan-PI/6_binary64_22017` `cos-+PI/2_binary64_22016` `cos-+PI_binary64_22015` `cos-PI_binary64_22014` `cos-PI/2_binary64_22013` `cos-PI/3_binary64_22012` `cos-PI/4_binary64_22011` `cos-PI/6_binary64_22010` `sin-+PI/2_binary64_22009` `sin-+PI_binary64_22008` `sin-PI_binary64_22007` `sin-PI/2_binary64_22006` `sin-PI/3_binary64_22005` `sin-PI/4_binary64_22004` `sin-PI/6_binary64_22003` `sub-1-sin_binary64_22002` `sub-1-cos_binary64_22001` `-1-add-sin_binary64_22000` `-1-add-cos_binary64_21999` `1-sub-sin_binary64_21998` `1-sub-cos_binary64_21997` `cos-sin-sum_binary64_21996` `log-E_binary64_21992` `log-pow_binary64_21991` `log-rec_binary64_21990` `log-div_binary64_21989` `log-prod_binary64_21988` `pow-base-0_binary64_21986` `unpow1/3_binary64_21969` `unpow3_binary64_21968` `unpow2_binary64_21967` `unpow1/2_binary64_21966` `pow-plus_binary64_21965` `exp-to-pow_binary64_21964` `pow-base-1_binary64_21962` `unpow0_binary64_21961` `unpow1_binary64_21960` `unpow-1_binary64_21959` `exp-lft-cube_binary64_21958` `exp-lft-sqr_binary64_21957` `exp-cbrt_binary64_21956` `exp-sqrt_binary64_21955` `exp-prod_binary64_21954` `div-exp_binary64_21953` `rec-exp_binary64_21952` `prod-exp_binary64_21951` `exp-diff_binary64_21950` `exp-neg_binary64_21949` `exp-sum_binary64_21948` `e-exp-1_binary64_21947` `exp-1-e_binary64_21945` `exp-0_binary64_21944` `rem-log-exp_binary64_21943` `rem-exp-log_binary64_21942` `cube-unmult_binary64_21939` `cube-mult_binary64_21932` `cube-div_binary64_21931` `cube-prod_binary64_21930` `cube-neg_binary64_21929` `rem-3cbrt-rft_binary64_21928` `rem-3cbrt-lft_binary64_21927` `rem-cbrt-cube_binary64_21926` `rem-cube-cbrt_binary64_21925` `sqr-abs_binary64_21917` `sqr-neg_binary64_21916` `rem-sqrt-square_binary64_21915` `rem-square-sqrt_binary64_21914` `times-frac_binary64_21908` `div-sub_binary64_21907` `/-rgt-identity_binary64_21893` `--rgt-identity_binary64_21888` `div0_binary64_21883` `-inverses_binary64_21882` `+-inverses_binary64_21881` `lft-mult-inverse_binary64_21880` `rgt-mult-inverse_binary64_21879` `remove-double-div_binary64_21878` `pow-sqr_binary64_21875` `sqr-pow_binary64_21874` `difference-of-sqr--1_binary64_21873` `difference-of-sqr-1_binary64_21872` `difference-of-squares_binary64_21871` `unswap-sqr_binary64_21870` `swap-sqr_binary64_21869` `cancel-sign-sub_binary64_21867` `distribute-neg-frac_binary64_21866` `distribute-frac-neg_binary64_21865` `count-2_binary64_21850` `associate-/l/_binary64_21849` `associate-/r/_binary64_21848` `associate-/l_binary64_21847` `associate-/r_binary64_21846` `associate-l/_binary64_21845` `associate-*r/_binary64_21844`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	52
1	47	52
2	96	52
3	208	52
4	336	52
5	615	52
6	948	52
7	1300	52
8	1318	52
9	1328	52
10	1328	52
11	1366	52
12	1334	52
13	1334	52
14	1237	52
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
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	48%	8.7%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	23.7%	15%	13
65%	19.8%	15.3%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify38.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

142×	`cancel-sign-sub-inv_binary64_21868`
122×	`distribute-rgt-in_binary64_21852`
110×	`unsub-neg_binary64_21896`
77×	`distribute-lft-in_binary64_21851`
72×	`associate-r_binary64_21842`
63×	`associate-l_binary64_21843`
59×	`distribute-lft-neg-out_binary64_21861`
58×	`sub-neg_binary64_21895`
49×	`distribute-rgt-neg-out_binary64_21862` `associate--r+_binary64_21838`
44×	`distribute-rgt-neg-in_binary64_21860`
42×	`neg-mul-1_binary64_21898` `neg-sub0_binary64_21897`
39×	`*-commutative_binary64_21833`
32×	`distribute-neg-in_binary64_21863` `distribute-lft-neg-in_binary64_21859`
27×	`associate-+l-_binary64_21837`
20×	`+-lft-identity_binary64_21886`
17×	`mul0-rgt_binary64_21885` `mul0-lft_binary64_21884` `associate--l+_binary64_21839`
15×	`sub0-neg_binary64_21889` `associate-+r+_binary64_21834` `+-commutative_binary64_21832`
14×	`remove-double-neg_binary64_21890` `associate-+l+_binary64_21835`
9×	`*-lft-identity_binary64_21891`
6×	`*-rgt-identity_binary64_21892` `distribute-rgt-out--_binary64_21856` `associate-+r-_binary64_21836`
5×	`associate--l-_binary64_21840`
4×	`--rgt-identity_binary64_21888` `distribute-neg-out_binary64_21864` `associate--r-_binary64_21841`
3×	`distribute-rgt1-in_binary64_21858`
2×	`mul-1-neg_binary64_21894` `+-rgt-identity_binary64_21887` `distribute-rgt-out_binary64_21855`
1×	`1-exp_binary64_21946` `distribute-lft1-in_binary64_21857`
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_22165` `erf-erfc_binary64_22164` `erf-odd_binary64_22163` `if-if-and-not_binary64_22162` `if-if-and_binary64_22161` `if-if-or-not_binary64_22160` `if-if-or_binary64_22159` `if-not_binary64_22158` `if-same_binary64_22157` `if-false_binary64_22156` `if-true_binary64_22155` `not-gte_binary64_22154` `not-lte_binary64_22153` `not-gt_binary64_22152` `not-lt_binary64_22151` `gte-same_binary64_22150` `lte-same_binary64_22149` `gt-same_binary64_22148` `lt-same_binary64_22147` `sinh---cosh_binary64_22094` `sinh-+-cosh_binary64_22093` `sinh-cosh_binary64_22092` `tanh-def-c_binary64_22091` `tanh-def-b_binary64_22090` `tanh-def-a_binary64_22089` `cosh-def_binary64_22088` `sinh-def_binary64_22087` `tan-neg_binary64_22034` `cos-neg_binary64_22033` `sin-neg_binary64_22032` `tan-0_binary64_22031` `cos-0_binary64_22030` `sin-0_binary64_22029` `hang-m-tan_binary64_22028` `hang-p-tan_binary64_22027` `hang-m0-tan_binary64_22026` `hang-p0-tan_binary64_22025` `hang-0m-tan_binary64_22024` `hang-0p-tan_binary64_22023` `tan-+PI/2_binary64_22022` `tan-+PI_binary64_22021` `tan-PI_binary64_22020` `tan-PI/3_binary64_22019` `tan-PI/4_binary64_22018` `tan-PI/6_binary64_22017` `cos-+PI/2_binary64_22016` `cos-+PI_binary64_22015` `cos-PI_binary64_22014` `cos-PI/2_binary64_22013` `cos-PI/3_binary64_22012` `cos-PI/4_binary64_22011` `cos-PI/6_binary64_22010` `sin-+PI/2_binary64_22009` `sin-+PI_binary64_22008` `sin-PI_binary64_22007` `sin-PI/2_binary64_22006` `sin-PI/3_binary64_22005` `sin-PI/4_binary64_22004` `sin-PI/6_binary64_22003` `sub-1-sin_binary64_22002` `sub-1-cos_binary64_22001` `-1-add-sin_binary64_22000` `-1-add-cos_binary64_21999` `1-sub-sin_binary64_21998` `1-sub-cos_binary64_21997` `cos-sin-sum_binary64_21996` `log-E_binary64_21992` `log-pow_binary64_21991` `log-rec_binary64_21990` `log-div_binary64_21989` `log-prod_binary64_21988` `pow-base-0_binary64_21986` `unpow1/3_binary64_21969` `unpow3_binary64_21968` `unpow2_binary64_21967` `unpow1/2_binary64_21966` `pow-plus_binary64_21965` `exp-to-pow_binary64_21964` `pow-base-1_binary64_21962` `unpow0_binary64_21961` `unpow1_binary64_21960` `unpow-1_binary64_21959` `exp-lft-cube_binary64_21958` `exp-lft-sqr_binary64_21957` `exp-cbrt_binary64_21956` `exp-sqrt_binary64_21955` `exp-prod_binary64_21954` `div-exp_binary64_21953` `rec-exp_binary64_21952` `prod-exp_binary64_21951` `exp-diff_binary64_21950` `exp-neg_binary64_21949` `exp-sum_binary64_21948` `e-exp-1_binary64_21947` `exp-1-e_binary64_21945` `exp-0_binary64_21944` `rem-log-exp_binary64_21943` `rem-exp-log_binary64_21942` `cube-unmult_binary64_21939` `cube-mult_binary64_21932` `cube-div_binary64_21931` `cube-prod_binary64_21930` `cube-neg_binary64_21929` `rem-3cbrt-rft_binary64_21928` `rem-3cbrt-lft_binary64_21927` `rem-cbrt-cube_binary64_21926` `rem-cube-cbrt_binary64_21925` `sqr-abs_binary64_21917` `sqr-neg_binary64_21916` `rem-sqrt-square_binary64_21915` `rem-square-sqrt_binary64_21914` `times-frac_binary64_21908` `div-sub_binary64_21907` `/-rgt-identity_binary64_21893` `div0_binary64_21883` `-inverses_binary64_21882` `+-inverses_binary64_21881` `lft-mult-inverse_binary64_21880` `rgt-mult-inverse_binary64_21879` `remove-double-div_binary64_21878` `pow-sqr_binary64_21875` `sqr-pow_binary64_21874` `difference-of-sqr--1_binary64_21873` `difference-of-sqr-1_binary64_21872` `difference-of-squares_binary64_21871` `unswap-sqr_binary64_21870` `swap-sqr_binary64_21869` `cancel-sign-sub_binary64_21867` `distribute-neg-frac_binary64_21866` `distribute-frac-neg_binary64_21865` `distribute-lft-out--_binary64_21854` `distribute-lft-out_binary64_21853` `count-2_binary64_21850` `associate-/l/_binary64_21849` `associate-/r/_binary64_21848` `associate-/l_binary64_21847` `associate-/r_binary64_21846` `associate-l/_binary64_21845` `associate-*r/_binary64_21844`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	16	13
2	33	13
3	69	13
4	130	13
5	184	13
6	266	13
7	422	13
8	589	13
9	629	13
10	629	13
11	622	13
12	622	13
13	549	13

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

0.2b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
0.0b	(*.f64 (-.f64 y x) 6)
0.3b	(.f64 (.f64 (-.f64 y x) 6) z)

rewrite75.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`pow1_binary64_21963` `add-exp-log_binary64_21940` `add-cbrt-cube_binary64_21938` `add-sqr-sqrt_binary64_21924`
8×	`*-un-lft-identity_binary64_21902`
6×	`add-cube-cbrt_binary64_21937` `associate-l/_binary64_21845` `associate-l_binary64_21843` `associate-r*_binary64_21842`
5×	`add-log-exp_binary64_21941`
4×	`pow-prod-down_binary64_21973` `prod-exp_binary64_21951` `cbrt-unprod_binary64_21935`
2×	`flip3--_binary64_21906` `flip--_binary64_21877` `*-commutative_binary64_21833`
1×	`unswap-sqr_binary64_21870` `difference-of-squares_binary64_21871` `distribute-lft-out--_binary64_21854` `sum-log_binary64_21993` `flip3-+_binary64_21905` `flip-+_binary64_21876` `+-commutative_binary64_21832`

Counts

3 → 53

Calls

3 calls:

8.0ms	(.f64 (.f64 (-.f64 y x) 6) z)
7.0ms	(*.f64 (-.f64 y x) 6)
3.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))

Compiler

Compiled 872 to 443 computations (49.2% saved)

series600.0ms (10%)

Error

0.0b

Counts

3 → 45

Calls

3 calls:

289.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
199.0ms	(.f64 (.f64 (-.f64 y x) 6) z)
79.0ms	(*.f64 (-.f64 y x) 6)

Compiler

Compiled 1156 to 881 computations (23.8% saved)

simplify95.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

671×	`neg-mul-1_binary64_21898`
409×	`distribute-rgt-in_binary64_21852`
389×	`distribute-lft-in_binary64_21851`
317×	`*-commutative_binary64_21833`
309×	`distribute-rgt-neg-out_binary64_21862`
286×	`distribute-lft-neg-out_binary64_21861`
249×	`cancel-sign-sub-inv_binary64_21868`
219×	`exp-prod_binary64_21954`
218×	`distribute-rgt-neg-in_binary64_21860`
193×	`distribute-lft-neg-in_binary64_21859`
166×	`distribute-neg-in_binary64_21863`
139×	`associate-l_binary64_21843`
113×	`cube-prod_binary64_21930` `associate-r_binary64_21842`
97×	`log-prod_binary64_21988` `sub-neg_binary64_21895`
91×	`exp-sum_binary64_21948`
90×	`neg-sub0_binary64_21897`
78×	`unsub-neg_binary64_21896`
65×	`sqr-pow_binary64_21874`
50×	`exp-diff_binary64_21950`
45×	`swap-sqr_binary64_21869`
43×	`*-lft-identity_binary64_21891`
40×	`*-rgt-identity_binary64_21892`
39×	`+-commutative_binary64_21832`
27×	`div-sub_binary64_21907`
26×	`associate-+l+_binary64_21835`
24×	`unswap-sqr_binary64_21870`
21×	`associate-+r+_binary64_21834`
20×	`unpow3_binary64_21968` `distribute-rgt-out_binary64_21855`
16×	`associate-+r-_binary64_21836`
15×	`associate-+l-_binary64_21837`
14×	`cube-mult_binary64_21932` `times-frac_binary64_21908` `+-rgt-identity_binary64_21887`
13×	`sqr-neg_binary64_21916`
12×	`cube-neg_binary64_21929`
11×	`remove-double-neg_binary64_21890` `distribute-rgt-out--_binary64_21856`
8×	`prod-exp_binary64_21951` `cube-unmult_binary64_21939` `sub0-neg_binary64_21889` `pow-sqr_binary64_21875` `difference-of-squares_binary64_21871` `distribute-lft-out--_binary64_21854` `distribute-lft-out_binary64_21853` `associate--l+_binary64_21839` `associate--r+_binary64_21838`
6×	`rem-sqrt-square_binary64_21915`
5×	`pow-plus_binary64_21965` `mul-1-neg_binary64_21894`
4×	`exp-neg_binary64_21949` `cube-div_binary64_21931`
3×	`unpow1/2_binary64_21966`
2×	`distribute-neg-out_binary64_21864` `associate--r-_binary64_21841`
1×	`1-exp_binary64_21946` `exp-1-e_binary64_21945` `distribute-frac-neg_binary64_21865` `distribute-rgt1-in_binary64_21858` `associate--l-_binary64_21840`
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_22165` `erf-erfc_binary64_22164` `erf-odd_binary64_22163` `if-if-and-not_binary64_22162` `if-if-and_binary64_22161` `if-if-or-not_binary64_22160` `if-if-or_binary64_22159` `if-not_binary64_22158` `if-same_binary64_22157` `if-false_binary64_22156` `if-true_binary64_22155` `not-gte_binary64_22154` `not-lte_binary64_22153` `not-gt_binary64_22152` `not-lt_binary64_22151` `gte-same_binary64_22150` `lte-same_binary64_22149` `gt-same_binary64_22148` `lt-same_binary64_22147` `sinh---cosh_binary64_22094` `sinh-+-cosh_binary64_22093` `sinh-cosh_binary64_22092` `tanh-def-c_binary64_22091` `tanh-def-b_binary64_22090` `tanh-def-a_binary64_22089` `cosh-def_binary64_22088` `sinh-def_binary64_22087` `tan-neg_binary64_22034` `cos-neg_binary64_22033` `sin-neg_binary64_22032` `tan-0_binary64_22031` `cos-0_binary64_22030` `sin-0_binary64_22029` `hang-m-tan_binary64_22028` `hang-p-tan_binary64_22027` `hang-m0-tan_binary64_22026` `hang-p0-tan_binary64_22025` `hang-0m-tan_binary64_22024` `hang-0p-tan_binary64_22023` `tan-+PI/2_binary64_22022` `tan-+PI_binary64_22021` `tan-PI_binary64_22020` `tan-PI/3_binary64_22019` `tan-PI/4_binary64_22018` `tan-PI/6_binary64_22017` `cos-+PI/2_binary64_22016` `cos-+PI_binary64_22015` `cos-PI_binary64_22014` `cos-PI/2_binary64_22013` `cos-PI/3_binary64_22012` `cos-PI/4_binary64_22011` `cos-PI/6_binary64_22010` `sin-+PI/2_binary64_22009` `sin-+PI_binary64_22008` `sin-PI_binary64_22007` `sin-PI/2_binary64_22006` `sin-PI/3_binary64_22005` `sin-PI/4_binary64_22004` `sin-PI/6_binary64_22003` `sub-1-sin_binary64_22002` `sub-1-cos_binary64_22001` `-1-add-sin_binary64_22000` `-1-add-cos_binary64_21999` `1-sub-sin_binary64_21998` `1-sub-cos_binary64_21997` `cos-sin-sum_binary64_21996` `log-E_binary64_21992` `log-pow_binary64_21991` `log-rec_binary64_21990` `log-div_binary64_21989` `pow-base-0_binary64_21986` `unpow1/3_binary64_21969` `unpow2_binary64_21967` `exp-to-pow_binary64_21964` `pow-base-1_binary64_21962` `unpow0_binary64_21961` `unpow1_binary64_21960` `unpow-1_binary64_21959` `exp-lft-cube_binary64_21958` `exp-lft-sqr_binary64_21957` `exp-cbrt_binary64_21956` `exp-sqrt_binary64_21955` `div-exp_binary64_21953` `rec-exp_binary64_21952` `e-exp-1_binary64_21947` `exp-0_binary64_21944` `rem-log-exp_binary64_21943` `rem-exp-log_binary64_21942` `rem-3cbrt-rft_binary64_21928` `rem-3cbrt-lft_binary64_21927` `rem-cbrt-cube_binary64_21926` `rem-cube-cbrt_binary64_21925` `sqr-abs_binary64_21917` `rem-square-sqrt_binary64_21914` `/-rgt-identity_binary64_21893` `--rgt-identity_binary64_21888` `+-lft-identity_binary64_21886` `mul0-rgt_binary64_21885` `mul0-lft_binary64_21884` `div0_binary64_21883` `-inverses_binary64_21882` `+-inverses_binary64_21881` `lft-mult-inverse_binary64_21880` `rgt-mult-inverse_binary64_21879` `remove-double-div_binary64_21878` `difference-of-sqr--1_binary64_21873` `difference-of-sqr-1_binary64_21872` `cancel-sign-sub_binary64_21867` `distribute-neg-frac_binary64_21866` `distribute-lft1-in_binary64_21857` `count-2_binary64_21850` `associate-/l/_binary64_21849` `associate-/r/_binary64_21848` `associate-/l_binary64_21847` `associate-/r_binary64_21846` `associate-l/_binary64_21845` `associate-*r/_binary64_21844`

Counts

98 → 70

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	116	1190
1	301	1073
2	972	1073
3	2730	1073
4	4473	1073
5	5461	1073

prune60.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	5	71

Error

0.0b

Counts

71 → 5

Compiler

Compiled 926 to 430 computations (53.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 z 6)))
0.3b	(.f64 (-.f64 y x) (.f64 z 6))

rewrite45.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_21963` `add-exp-log_binary64_21940` `add-cbrt-cube_binary64_21938`
5×	`add-sqr-sqrt_binary64_21924` `-un-lft-identity_binary64_21902` `associate-l*_binary64_21843`
4×	`add-log-exp_binary64_21941`
3×	`pow-prod-down_binary64_21973` `prod-exp_binary64_21951` `add-cube-cbrt_binary64_21937` `cbrt-unprod_binary64_21935`
2×	`associate-*l/_binary64_21845`
1×	`flip3--_binary64_21906` `flip--_binary64_21877` `difference-of-squares_binary64_21871` `distribute-lft-out--_binary64_21854` `associate-r_binary64_21842` `*-commutative_binary64_21833` `sum-log_binary64_21993` `flip3-+_binary64_21905` `flip-+_binary64_21876` `+-commutative_binary64_21832`

Counts

2 → 33

Calls

2 calls:

8.0ms	(.f64 (-.f64 y x) (.f64 z 6))
4.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 z 6)))

Compiler

Compiled 570 to 293 computations (48.6% saved)

series495.0ms (8.2%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

285.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 z 6)))
188.0ms	(.f64 (-.f64 y x) (.f64 z 6))

Compiler

Compiled 874 to 653 computations (25.3% saved)

simplify84.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

730×	`associate-l_binary64_21843`
310×	`cancel-sign-sub-inv_binary64_21868`
301×	`distribute-rgt-in_binary64_21852`
283×	`distribute-lft-in_binary64_21851`
264×	`distribute-rgt-neg-out_binary64_21862`
245×	`distribute-rgt-neg-in_binary64_21860`
244×	`distribute-lft-neg-out_binary64_21861`
224×	`*-commutative_binary64_21833`
214×	`exp-prod_binary64_21954`
203×	`distribute-lft-neg-in_binary64_21859`
172×	`distribute-lft-out_binary64_21853`
160×	`distribute-neg-in_binary64_21863`
107×	`associate-r_binary64_21842`
99×	`log-prod_binary64_21988`
94×	`sub-neg_binary64_21895`
90×	`distribute-rgt-out_binary64_21855`
71×	`unsub-neg_binary64_21896`
68×	`neg-sub0_binary64_21897`
55×	`distribute-lft-out--_binary64_21854`
53×	`neg-mul-1_binary64_21898`
51×	`exp-diff_binary64_21950`
43×	`sqr-pow_binary64_21874`
42×	`distribute-rgt-out--_binary64_21856`
38×	`+-commutative_binary64_21832`
33×	`exp-sum_binary64_21948` `cube-prod_binary64_21930`
28×	`swap-sqr_binary64_21869`
24×	`unswap-sqr_binary64_21870`
23×	`unpow3_binary64_21968`
20×	`associate-+r-_binary64_21836`
16×	`+-rgt-identity_binary64_21887` `associate-+l-_binary64_21837` `associate-+l+_binary64_21835`
11×	`associate-+r+_binary64_21834`
8×	`remove-double-neg_binary64_21890` `difference-of-squares_binary64_21871` `associate--l+_binary64_21839` `associate--r+_binary64_21838`
7×	`sub0-neg_binary64_21889`
6×	`cube-mult_binary64_21932`
5×	`cube-unmult_binary64_21939` `mul-1-neg_binary64_21894`
4×	`div-sub_binary64_21907` `pow-sqr_binary64_21875` `distribute-neg-out_binary64_21864`
3×	`cube-neg_binary64_21929` `sqr-neg_binary64_21916`
2×	`prod-exp_binary64_21951` `distribute-lft1-in_binary64_21857` `associate-/l*_binary64_21847` `associate--r-_binary64_21841`
1×	`1-exp_binary64_21946` `cube-div_binary64_21931` `-rgt-identity_binary64_21892` `-lft-identity_binary64_21891` `associate--l-_binary64_21840`
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_22165` `erf-erfc_binary64_22164` `erf-odd_binary64_22163` `if-if-and-not_binary64_22162` `if-if-and_binary64_22161` `if-if-or-not_binary64_22160` `if-if-or_binary64_22159` `if-not_binary64_22158` `if-same_binary64_22157` `if-false_binary64_22156` `if-true_binary64_22155` `not-gte_binary64_22154` `not-lte_binary64_22153` `not-gt_binary64_22152` `not-lt_binary64_22151` `gte-same_binary64_22150` `lte-same_binary64_22149` `gt-same_binary64_22148` `lt-same_binary64_22147` `sinh---cosh_binary64_22094` `sinh-+-cosh_binary64_22093` `sinh-cosh_binary64_22092` `tanh-def-c_binary64_22091` `tanh-def-b_binary64_22090` `tanh-def-a_binary64_22089` `cosh-def_binary64_22088` `sinh-def_binary64_22087` `tan-neg_binary64_22034` `cos-neg_binary64_22033` `sin-neg_binary64_22032` `tan-0_binary64_22031` `cos-0_binary64_22030` `sin-0_binary64_22029` `hang-m-tan_binary64_22028` `hang-p-tan_binary64_22027` `hang-m0-tan_binary64_22026` `hang-p0-tan_binary64_22025` `hang-0m-tan_binary64_22024` `hang-0p-tan_binary64_22023` `tan-+PI/2_binary64_22022` `tan-+PI_binary64_22021` `tan-PI_binary64_22020` `tan-PI/3_binary64_22019` `tan-PI/4_binary64_22018` `tan-PI/6_binary64_22017` `cos-+PI/2_binary64_22016` `cos-+PI_binary64_22015` `cos-PI_binary64_22014` `cos-PI/2_binary64_22013` `cos-PI/3_binary64_22012` `cos-PI/4_binary64_22011` `cos-PI/6_binary64_22010` `sin-+PI/2_binary64_22009` `sin-+PI_binary64_22008` `sin-PI_binary64_22007` `sin-PI/2_binary64_22006` `sin-PI/3_binary64_22005` `sin-PI/4_binary64_22004` `sin-PI/6_binary64_22003` `sub-1-sin_binary64_22002` `sub-1-cos_binary64_22001` `-1-add-sin_binary64_22000` `-1-add-cos_binary64_21999` `1-sub-sin_binary64_21998` `1-sub-cos_binary64_21997` `cos-sin-sum_binary64_21996` `log-E_binary64_21992` `log-pow_binary64_21991` `log-rec_binary64_21990` `log-div_binary64_21989` `pow-base-0_binary64_21986` `unpow1/3_binary64_21969` `unpow2_binary64_21967` `unpow1/2_binary64_21966` `pow-plus_binary64_21965` `exp-to-pow_binary64_21964` `pow-base-1_binary64_21962` `unpow0_binary64_21961` `unpow1_binary64_21960` `unpow-1_binary64_21959` `exp-lft-cube_binary64_21958` `exp-lft-sqr_binary64_21957` `exp-cbrt_binary64_21956` `exp-sqrt_binary64_21955` `div-exp_binary64_21953` `rec-exp_binary64_21952` `exp-neg_binary64_21949` `e-exp-1_binary64_21947` `exp-1-e_binary64_21945` `exp-0_binary64_21944` `rem-log-exp_binary64_21943` `rem-exp-log_binary64_21942` `rem-3cbrt-rft_binary64_21928` `rem-3cbrt-lft_binary64_21927` `rem-cbrt-cube_binary64_21926` `rem-cube-cbrt_binary64_21925` `sqr-abs_binary64_21917` `rem-sqrt-square_binary64_21915` `rem-square-sqrt_binary64_21914` `times-frac_binary64_21908` `/-rgt-identity_binary64_21893` `--rgt-identity_binary64_21888` `+-lft-identity_binary64_21886` `mul0-rgt_binary64_21885` `mul0-lft_binary64_21884` `div0_binary64_21883` `-inverses_binary64_21882` `+-inverses_binary64_21881` `lft-mult-inverse_binary64_21880` `rgt-mult-inverse_binary64_21879` `remove-double-div_binary64_21878` `difference-of-sqr--1_binary64_21873` `difference-of-sqr-1_binary64_21872` `cancel-sign-sub_binary64_21867` `distribute-neg-frac_binary64_21866` `distribute-frac-neg_binary64_21865` `distribute-rgt1-in_binary64_21858` `count-2_binary64_21850` `associate-/l/_binary64_21849` `associate-/r/_binary64_21848` `associate-/r_binary64_21846` `associate-l/_binary64_21845` `associate-r/_binary64_21844`

Counts

66 → 50

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	97	912
1	269	813
2	799	813
3	2698	813
4	4754	813
5	4986	813

prune39.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	50	5	55

Error

0.0b

Counts

55 → 5

Compiler

Compiled 665 to 301 computations (54.7% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 -6 (.f64 z (-.f64 x y))))
0.0b	(*.f64 z (-.f64 x y))
0.3b	(.f64 -6 (.f64 z (-.f64 x y)))

rewrite104.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`distribute-rgt-in_binary64_21852` `distribute-lft-in_binary64_21851`
30×	`cancel-sign-sub-inv_binary64_21868`
20×	`add-sqr-sqrt_binary64_21924`
18×	`*-un-lft-identity_binary64_21902`
16×	`add-cube-cbrt_binary64_21937` `associate-+r+_binary64_21834`
10×	`pow1_binary64_21963` `add-exp-log_binary64_21940` `add-cbrt-cube_binary64_21938` `sub-neg_binary64_21895`
6×	`associate-r/_binary64_21844` `associate-l_binary64_21843` `associate-r*_binary64_21842`
5×	`add-log-exp_binary64_21941`
4×	`pow-prod-down_binary64_21973` `prod-exp_binary64_21951` `cbrt-unprod_binary64_21935`
2×	`flip3--_binary64_21906` `flip--_binary64_21877` `*-commutative_binary64_21833`
1×	`unswap-sqr_binary64_21870` `difference-of-squares_binary64_21871` `distribute-lft-out--_binary64_21854` `sum-log_binary64_21993` `flip3-+_binary64_21905` `flip-+_binary64_21876` `+-commutative_binary64_21832`

Counts

3 → 93

Calls

3 calls:

9.0ms	(.f64 -6 (.f64 z (-.f64 x y)))
7.0ms	(*.f64 z (-.f64 x y))
5.0ms	(+.f64 x (.f64 -6 (.f64 z (-.f64 x y))))

Compiler

Compiled 1546 to 646 computations (58.2% saved)

series627.0ms (10.4%)

Error

0.0b

Counts

3 → 48

Calls

3 calls:

294.0ms	(+.f64 x (.f64 -6 (.f64 z (-.f64 x y))))
174.0ms	(.f64 -6 (.f64 z (-.f64 x y)))
131.0ms	(*.f64 z (-.f64 x y))

Compiler

Compiled 1249 to 909 computations (27.2% saved)

simplify91.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

540×	`unsub-neg_binary64_21896`
459×	`distribute-rgt-in_binary64_21852`
435×	`distribute-lft-in_binary64_21851`
391×	`*-commutative_binary64_21833`
265×	`exp-prod_binary64_21954`
227×	`neg-sub0_binary64_21897`
214×	`neg-mul-1_binary64_21898`
188×	`associate-r_binary64_21842`
182×	`associate-l_binary64_21843`
149×	`cancel-sign-sub-inv_binary64_21868`
126×	`distribute-rgt-neg-in_binary64_21860`
117×	`distribute-lft-neg-out_binary64_21861`
112×	`cube-prod_binary64_21930`
109×	`distribute-rgt-neg-out_binary64_21862`
106×	`log-prod_binary64_21988`
93×	`distribute-lft-neg-in_binary64_21859`
80×	`exp-sum_binary64_21948`
50×	`exp-diff_binary64_21950`
41×	`sub-neg_binary64_21895` `distribute-rgt-out_binary64_21855`
40×	`+-commutative_binary64_21832`
33×	`exp-neg_binary64_21949`
32×	`swap-sqr_binary64_21869`
26×	`sqr-pow_binary64_21874`
23×	`associate-+l+_binary64_21835`
21×	`*-rgt-identity_binary64_21892`
20×	`*-lft-identity_binary64_21891`
17×	`associate-+r+_binary64_21834`
16×	`distribute-rgt-out--_binary64_21856`
15×	`associate-+l-_binary64_21837` `associate-+r-_binary64_21836`
14×	`unpow3_binary64_21968`
13×	`distribute-neg-in_binary64_21863`
12×	`div-sub_binary64_21907`
10×	`cube-mult_binary64_21932` `distribute-lft-out_binary64_21853`
9×	`cube-neg_binary64_21929` `distribute-neg-out_binary64_21864`
7×	`sqr-neg_binary64_21916` `cancel-sign-sub_binary64_21867`
6×	`cube-unmult_binary64_21939` `distribute-lft-out--_binary64_21854`
5×	`mul-1-neg_binary64_21894` `associate--l+_binary64_21839` `associate--r+_binary64_21838`
4×	`difference-of-squares_binary64_21871` `associate--r-_binary64_21841`
3×	`remove-double-neg_binary64_21890` `associate-/l*_binary64_21847`
2×	`pow-sqr_binary64_21875` `unswap-sqr_binary64_21870` `distribute-rgt1-in_binary64_21858` `associate--l-_binary64_21840`
1×	`unpow1/2_binary64_21966` `prod-exp_binary64_21951` `1-exp_binary64_21946` `exp-1-e_binary64_21945` `rem-3cbrt-lft_binary64_21927` `rem-sqrt-square_binary64_21915` `rem-square-sqrt_binary64_21914` `+-rgt-identity_binary64_21887`
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_22165` `erf-erfc_binary64_22164` `erf-odd_binary64_22163` `if-if-and-not_binary64_22162` `if-if-and_binary64_22161` `if-if-or-not_binary64_22160` `if-if-or_binary64_22159` `if-not_binary64_22158` `if-same_binary64_22157` `if-false_binary64_22156` `if-true_binary64_22155` `not-gte_binary64_22154` `not-lte_binary64_22153` `not-gt_binary64_22152` `not-lt_binary64_22151` `gte-same_binary64_22150` `lte-same_binary64_22149` `gt-same_binary64_22148` `lt-same_binary64_22147` `sinh---cosh_binary64_22094` `sinh-+-cosh_binary64_22093` `sinh-cosh_binary64_22092` `tanh-def-c_binary64_22091` `tanh-def-b_binary64_22090` `tanh-def-a_binary64_22089` `cosh-def_binary64_22088` `sinh-def_binary64_22087` `tan-neg_binary64_22034` `cos-neg_binary64_22033` `sin-neg_binary64_22032` `tan-0_binary64_22031` `cos-0_binary64_22030` `sin-0_binary64_22029` `hang-m-tan_binary64_22028` `hang-p-tan_binary64_22027` `hang-m0-tan_binary64_22026` `hang-p0-tan_binary64_22025` `hang-0m-tan_binary64_22024` `hang-0p-tan_binary64_22023` `tan-+PI/2_binary64_22022` `tan-+PI_binary64_22021` `tan-PI_binary64_22020` `tan-PI/3_binary64_22019` `tan-PI/4_binary64_22018` `tan-PI/6_binary64_22017` `cos-+PI/2_binary64_22016` `cos-+PI_binary64_22015` `cos-PI_binary64_22014` `cos-PI/2_binary64_22013` `cos-PI/3_binary64_22012` `cos-PI/4_binary64_22011` `cos-PI/6_binary64_22010` `sin-+PI/2_binary64_22009` `sin-+PI_binary64_22008` `sin-PI_binary64_22007` `sin-PI/2_binary64_22006` `sin-PI/3_binary64_22005` `sin-PI/4_binary64_22004` `sin-PI/6_binary64_22003` `sub-1-sin_binary64_22002` `sub-1-cos_binary64_22001` `-1-add-sin_binary64_22000` `-1-add-cos_binary64_21999` `1-sub-sin_binary64_21998` `1-sub-cos_binary64_21997` `cos-sin-sum_binary64_21996` `log-E_binary64_21992` `log-pow_binary64_21991` `log-rec_binary64_21990` `log-div_binary64_21989` `pow-base-0_binary64_21986` `unpow1/3_binary64_21969` `unpow2_binary64_21967` `pow-plus_binary64_21965` `exp-to-pow_binary64_21964` `pow-base-1_binary64_21962` `unpow0_binary64_21961` `unpow1_binary64_21960` `unpow-1_binary64_21959` `exp-lft-cube_binary64_21958` `exp-lft-sqr_binary64_21957` `exp-cbrt_binary64_21956` `exp-sqrt_binary64_21955` `div-exp_binary64_21953` `rec-exp_binary64_21952` `e-exp-1_binary64_21947` `exp-0_binary64_21944` `rem-log-exp_binary64_21943` `rem-exp-log_binary64_21942` `cube-div_binary64_21931` `rem-3cbrt-rft_binary64_21928` `rem-cbrt-cube_binary64_21926` `rem-cube-cbrt_binary64_21925` `sqr-abs_binary64_21917` `times-frac_binary64_21908` `/-rgt-identity_binary64_21893` `sub0-neg_binary64_21889` `--rgt-identity_binary64_21888` `+-lft-identity_binary64_21886` `mul0-rgt_binary64_21885` `mul0-lft_binary64_21884` `div0_binary64_21883` `-inverses_binary64_21882` `+-inverses_binary64_21881` `lft-mult-inverse_binary64_21880` `rgt-mult-inverse_binary64_21879` `remove-double-div_binary64_21878` `difference-of-sqr--1_binary64_21873` `difference-of-sqr-1_binary64_21872` `distribute-neg-frac_binary64_21866` `distribute-frac-neg_binary64_21865` `distribute-lft1-in_binary64_21857` `count-2_binary64_21850` `associate-/l/_binary64_21849` `associate-/r/_binary64_21848` `associate-/r_binary64_21846` `associate-l/_binary64_21845` `associate-r/_binary64_21844`

Counts

141 → 112

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	157	1640
1	375	1556
2	1129	1556
3	3539	1556
4	4980	1556

prune82.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	112	5	117

Error

0.0b

Counts

117 → 5

Compiler

Compiled 1400 to 611 computations (56.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 y x))
0.1b	(.f64 216 (pow.f64 (.f64 z (-.f64 y x)) 3))
0.3b	(pow.f64 (*.f64 z (-.f64 y x)) 3)
31.8b	(cbrt.f64 (.f64 216 (pow.f64 (.f64 z (-.f64 y x)) 3)))

rewrite130.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`add-sqr-sqrt_binary64_21924`
17×	`add-exp-log_binary64_21940`
13×	`-un-lft-identity_binary64_21902` `associate-r*_binary64_21842`
12×	`associate-*r/_binary64_21844`
11×	`add-cbrt-cube_binary64_21938` `add-cube-cbrt_binary64_21937`
9×	`pow1_binary64_21963`
7×	`prod-exp_binary64_21951`
6×	`cube-div_binary64_21931` `associate-l_binary64_21843` `cancel-sign-sub-inv_binary64_21868`
4×	`add-log-exp_binary64_21941` `flip3--_binary64_21906` `flip--_binary64_21877` `pow-exp_binary64_21970` `distribute-rgt-in_binary64_21852` `distribute-lft-in_binary64_21851`
3×	`pow-unpow_binary64_21979` `cbrt-unprod_binary64_21935` `sqr-pow_binary64_21874` `unswap-sqr_binary64_21870`
2×	`cbrt-div_binary64_21934` `unpow-prod-down_binary64_21981` `pow-prod-down_binary64_21973` `pow-pow_binary64_21974` `pow-to-exp_binary64_21971` `unpow3_binary64_21968` `cube-mult_binary64_21932` `cube-prod_binary64_21930` `rem-cube-cbrt_binary64_21925` `*-commutative_binary64_21833` `sub-neg_binary64_21895`
1×	`pow1/3_binary64_21984` `cbrt-prod_binary64_21933` `difference-of-squares_binary64_21871` `distribute-lft-out--_binary64_21854`

Counts

4 → 93

Calls

4 calls:

8.0ms	(.f64 216 (pow.f64 (.f64 z (-.f64 y x)) 3))
7.0ms	(*.f64 z (-.f64 y x))
6.0ms	(pow.f64 (*.f64 z (-.f64 y x)) 3)
4.0ms	(cbrt.f64 (.f64 216 (pow.f64 (.f64 z (-.f64 y x)) 3)))

Compiler

Compiled 1803 to 927 computations (48.6% saved)

series981.0ms (16.3%)

Error

Counts

4 → 66

Calls

4 calls:

278.0ms	(.f64 216 (pow.f64 (.f64 z (-.f64 y x)) 3))
250.0ms	(cbrt.f64 (.f64 216 (pow.f64 (.f64 z (-.f64 y x)) 3)))
218.0ms	(pow.f64 (*.f64 z (-.f64 y x)) 3)
158.0ms	(*.f64 z (-.f64 y x))

Compiler

Compiled 2935 to 2369 computations (19.3% saved)

simplify88.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

524×	`distribute-rgt-in_binary64_21852`
515×	`distribute-lft-in_binary64_21851`
298×	`associate-r_binary64_21842`
262×	`associate-l_binary64_21843`
258×	`cancel-sign-sub-inv_binary64_21868`
177×	`unswap-sqr_binary64_21870`
122×	`*-commutative_binary64_21833`
118×	`log-prod_binary64_21988`
116×	`distribute-rgt-neg-in_binary64_21860`
111×	`exp-prod_binary64_21954`
110×	`swap-sqr_binary64_21869`
92×	`distribute-lft-neg-in_binary64_21859`
76×	`cube-prod_binary64_21930`
74×	`sqr-pow_binary64_21874`
49×	`sub-neg_binary64_21895`
38×	`distribute-lft-neg-out_binary64_21861`
36×	`neg-sub0_binary64_21897`
31×	`neg-mul-1_binary64_21898`
30×	`distribute-rgt-out_binary64_21855`
29×	`+-commutative_binary64_21832`
28×	`distribute-rgt-neg-out_binary64_21862`
24×	`distribute-rgt-out--_binary64_21856`
21×	`*-lft-identity_binary64_21891`
20×	`*-rgt-identity_binary64_21892`
12×	`unpow3_binary64_21968` `pow-sqr_binary64_21875`
11×	`cube-mult_binary64_21932`
10×	`exp-sum_binary64_21948` `distribute-neg-in_binary64_21863` `distribute-lft-out_binary64_21853`
9×	`cube-unmult_binary64_21939`
8×	`log-pow_binary64_21991` `unsub-neg_binary64_21896` `associate--l+_binary64_21839` `associate--r+_binary64_21838`
6×	`rem-sqrt-square_binary64_21915` `distribute-lft-out--_binary64_21854`
5×	`pow-plus_binary64_21965` `mul-1-neg_binary64_21894`
4×	`difference-of-squares_binary64_21871` `associate-+l+_binary64_21835`
3×	`unpow1/2_binary64_21966` `unpow1_binary64_21960` `exp-diff_binary64_21950` `rem-cbrt-cube_binary64_21926`
2×	`unpow2_binary64_21967` `rem-3cbrt-lft_binary64_21927` `div-sub_binary64_21907` `associate-+r+_binary64_21834`
1×	`1-exp_binary64_21946` `exp-1-e_binary64_21945` `rem-square-sqrt_binary64_21914` `+-rgt-identity_binary64_21887` `associate-/l*_binary64_21847` `associate-+r-_binary64_21836`
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_22165` `erf-erfc_binary64_22164` `erf-odd_binary64_22163` `if-if-and-not_binary64_22162` `if-if-and_binary64_22161` `if-if-or-not_binary64_22160` `if-if-or_binary64_22159` `if-not_binary64_22158` `if-same_binary64_22157` `if-false_binary64_22156` `if-true_binary64_22155` `not-gte_binary64_22154` `not-lte_binary64_22153` `not-gt_binary64_22152` `not-lt_binary64_22151` `gte-same_binary64_22150` `lte-same_binary64_22149` `gt-same_binary64_22148` `lt-same_binary64_22147` `sinh---cosh_binary64_22094` `sinh-+-cosh_binary64_22093` `sinh-cosh_binary64_22092` `tanh-def-c_binary64_22091` `tanh-def-b_binary64_22090` `tanh-def-a_binary64_22089` `cosh-def_binary64_22088` `sinh-def_binary64_22087` `tan-neg_binary64_22034` `cos-neg_binary64_22033` `sin-neg_binary64_22032` `tan-0_binary64_22031` `cos-0_binary64_22030` `sin-0_binary64_22029` `hang-m-tan_binary64_22028` `hang-p-tan_binary64_22027` `hang-m0-tan_binary64_22026` `hang-p0-tan_binary64_22025` `hang-0m-tan_binary64_22024` `hang-0p-tan_binary64_22023` `tan-+PI/2_binary64_22022` `tan-+PI_binary64_22021` `tan-PI_binary64_22020` `tan-PI/3_binary64_22019` `tan-PI/4_binary64_22018` `tan-PI/6_binary64_22017` `cos-+PI/2_binary64_22016` `cos-+PI_binary64_22015` `cos-PI_binary64_22014` `cos-PI/2_binary64_22013` `cos-PI/3_binary64_22012` `cos-PI/4_binary64_22011` `cos-PI/6_binary64_22010` `sin-+PI/2_binary64_22009` `sin-+PI_binary64_22008` `sin-PI_binary64_22007` `sin-PI/2_binary64_22006` `sin-PI/3_binary64_22005` `sin-PI/4_binary64_22004` `sin-PI/6_binary64_22003` `sub-1-sin_binary64_22002` `sub-1-cos_binary64_22001` `-1-add-sin_binary64_22000` `-1-add-cos_binary64_21999` `1-sub-sin_binary64_21998` `1-sub-cos_binary64_21997` `cos-sin-sum_binary64_21996` `log-E_binary64_21992` `log-rec_binary64_21990` `log-div_binary64_21989` `pow-base-0_binary64_21986` `unpow1/3_binary64_21969` `exp-to-pow_binary64_21964` `pow-base-1_binary64_21962` `unpow0_binary64_21961` `unpow-1_binary64_21959` `exp-lft-cube_binary64_21958` `exp-lft-sqr_binary64_21957` `exp-cbrt_binary64_21956` `exp-sqrt_binary64_21955` `div-exp_binary64_21953` `rec-exp_binary64_21952` `prod-exp_binary64_21951` `exp-neg_binary64_21949` `e-exp-1_binary64_21947` `exp-0_binary64_21944` `rem-log-exp_binary64_21943` `rem-exp-log_binary64_21942` `cube-div_binary64_21931` `cube-neg_binary64_21929` `rem-3cbrt-rft_binary64_21928` `rem-cube-cbrt_binary64_21925` `sqr-abs_binary64_21917` `sqr-neg_binary64_21916` `times-frac_binary64_21908` `/-rgt-identity_binary64_21893` `remove-double-neg_binary64_21890` `sub0-neg_binary64_21889` `--rgt-identity_binary64_21888` `+-lft-identity_binary64_21886` `mul0-rgt_binary64_21885` `mul0-lft_binary64_21884` `div0_binary64_21883` `-inverses_binary64_21882` `+-inverses_binary64_21881` `lft-mult-inverse_binary64_21880` `rgt-mult-inverse_binary64_21879` `remove-double-div_binary64_21878` `difference-of-sqr--1_binary64_21873` `difference-of-sqr-1_binary64_21872` `cancel-sign-sub_binary64_21867` `distribute-neg-frac_binary64_21866` `distribute-frac-neg_binary64_21865` `distribute-neg-out_binary64_21864` `distribute-rgt1-in_binary64_21858` `distribute-lft1-in_binary64_21857` `count-2_binary64_21850` `associate-/l/_binary64_21849` `associate-/r/_binary64_21848` `associate-/r_binary64_21846` `associate-l/_binary64_21845` `associate-r/_binary64_21844` `associate--r-_binary64_21841` `associate--l-_binary64_21840` `associate-+l-_binary64_21837`

Counts

159 → 101

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	2600
1	457	2461
2	1759	2323
3	5373	2323

prune101.0ms (1.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	100	6	106

Error

Counts

106 → 6

Compiler

Compiled 1670 to 942 computations (43.6% saved)

regimes324.0ms (5.4%)

Accuracy

Total 0.2b remaining (98.8%)

Threshold costs 0.2b (98.8%)

Compiler

Compiled 2512 to 2070 computations (17.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_21833` `+-commutative_binary64_21832`
2×	`sub-neg_binary64_21895`
1×	`neg-mul-1_binary64_21898` `neg-sub0_binary64_21897`
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_22162` `if-if-and_binary64_22161` `if-if-or-not_binary64_22160` `if-if-or_binary64_22159` `if-not_binary64_22158` `if-same_binary64_22157` `if-false_binary64_22156` `if-true_binary64_22155` `tan-0_binary64_22031` `cos-0_binary64_22030` `sin-0_binary64_22029` `unpow1_binary64_21960` `e-exp-1_binary64_21947` `1-exp_binary64_21946` `exp-1-e_binary64_21945` `exp-0_binary64_21944` `sqr-abs_binary64_21917` `sqr-neg_binary64_21916` `unsub-neg_binary64_21896` `mul-1-neg_binary64_21894` `/-rgt-identity_binary64_21893` `-rgt-identity_binary64_21892` `-lft-identity_binary64_21891` `remove-double-neg_binary64_21890` `sub0-neg_binary64_21889` `--rgt-identity_binary64_21888` `+-rgt-identity_binary64_21887` `+-lft-identity_binary64_21886` `cancel-sign-sub-inv_binary64_21868` `cancel-sign-sub_binary64_21867` `distribute-neg-frac_binary64_21866` `distribute-frac-neg_binary64_21865` `distribute-neg-out_binary64_21864` `distribute-neg-in_binary64_21863` `distribute-rgt-neg-out_binary64_21862` `distribute-lft-neg-out_binary64_21861` `distribute-rgt-neg-in_binary64_21860` `distribute-lft-neg-in_binary64_21859`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	14	13
2	19	13
3	21	13
4	22	13
5	22	13

end0.0ms (0%)

sample1.4s (22.9%)

Algorithm

1×

intervals

Results

422.0ms	8000×	body	128	valid
15.0ms	583×	body	128	invalid

Compiler

Compiled 650 to 537 computations (17.4% saved)

Iter	Nodes	Cost
0	9	13
1	16	13
2	33	13
3	69	13
4	130	13
5	184	13
6	266	13
7	422	13
8	589	13
9	629	13
10	629	13
11	622	13
12	622	13
13	549	13

Iter	Nodes	Cost
0	9	13
1	16	13
2	33	13
3	69	13
4	130	13
5	184	13
6	266	13
7	422	13
8	589	13
9	629	13
10	629	13
11	622	13
12	622	13
13	549	13

Details

analyze525.0ms (8.7%)

sample18.0ms (0.3%)

simplify38.0ms (0.6%)

prune2.0ms (0%)

localize10.0ms (0.2%)

rewrite75.0ms (1.3%)

series600.0ms (10%)

simplify95.0ms (1.6%)

prune60.0ms (1%)

localize6.0ms (0.1%)

rewrite45.0ms (0.7%)

series495.0ms (8.2%)

simplify84.0ms (1.4%)

prune39.0ms (0.7%)

localize6.0ms (0.1%)

rewrite104.0ms (1.7%)

series627.0ms (10.4%)

simplify91.0ms (1.5%)

prune82.0ms (1.4%)

localize9.0ms (0.1%)

rewrite130.0ms (2.2%)

series981.0ms (16.3%)

simplify88.0ms (1.5%)

prune101.0ms (1.7%)

regimes324.0ms (5.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.4s (22.9%)

Profiling

Iter	Nodes	Cost
0	9	13
1	16	13
2	33	13
3	69	13
4	130	13
5	184	13
6	266	13
7	422	13
8	589	13
9	629	13
10	629	13
11	622	13
12	622	13
13	549	13