Details

analyze50.0ms (1.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
50%	50%	0.1%	5
62.4%	37.5%	0.1%	6
74.9%	25%	0.1%	7
81.2%	18.7%	0.1%	8
87.4%	12.5%	0.1%	9
90.5%	9.4%	0.1%	10
93.7%	6.2%	0.1%	11
95.2%	4.7%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify627.0ms (16.5%)

Algorithm

1×	egg-herbie

Rules

704×	`exp-prod_binary64_13088`
547×	`associate-/r/_binary64_12982`
495×	`div-sub_binary64_13041`
487×	`swap-sqr_binary64_13003`
169×	`distribute-rgt-in_binary64_12986`
160×	`*-commutative_binary64_12967`
150×	`neg-mul-1_binary64_13032`
146×	`distribute-rgt-neg-in_binary64_12994`
143×	`neg-sub0_binary64_13031`
138×	`sub-neg_binary64_13029`
135×	`exp-sum_binary64_13082`
104×	`unsub-neg_binary64_13030`
101×	`sqr-pow_binary64_13008`
95×	`distribute-lft-in_binary64_12985`
90×	`pow-plus_binary64_13099`
87×	`distribute-rgt1-in_binary64_12992`
86×	`pow-sqr_binary64_13009`
81×	`distribute-lft-neg-in_binary64_12993`
73×	`distribute-rgt-out_binary64_12989`
70×	`associate-r_binary64_12976`
52×	`cancel-sign-sub-inv_binary64_13002`
51×	`distribute-rgt-out--_binary64_12990`
49×	`exp-diff_binary64_13084`
48×	`associate-+r+_binary64_12968`
42×	`associate-/l*_binary64_12981`
41×	`+-commutative_binary64_12966`
38×	`associate-+l+_binary64_12969`
36×	`distribute-neg-frac_binary64_13000`
35×	`associate--r+_binary64_12972`
31×	`associate-+l-_binary64_12971`
23×	`distribute-rgt-neg-out_binary64_12996`
22×	`associate-l_binary64_12977` `associate--l+_binary64_12973`
21×	`remove-double-neg_binary64_13024`
20×	`distribute-lft-neg-out_binary64_12995`
15×	`associate-+r-_binary64_12970`
14×	`distribute-neg-out_binary64_12998`
13×	`exp-lft-sqr_binary64_13091` `associate-/r*_binary64_12980`
12×	`associate-/l/_binary64_12983`
11×	`times-frac_binary64_13042` `*-rgt-identity_binary64_13026` `mul0-lft_binary64_13018`
10×	`sqr-neg_binary64_13050` `sub0-neg_binary64_13023` `associate--l-_binary64_12974`
9×	`*-lft-identity_binary64_13025` `+-lft-identity_binary64_13020` `distribute-neg-in_binary64_12997`
8×	`+-rgt-identity_binary64_13021` `mul0-rgt_binary64_13019` `distribute-frac-neg_binary64_12999` `distribute-lft1-in_binary64_12991` `count-2_binary64_12984` `associate--r-_binary64_12975`
7×	`+-inverses_binary64_13015` `distribute-lft-out--_binary64_12988` `distribute-lft-out_binary64_12987` `associate-*l/_binary64_12979`
6×	`exp-sqrt_binary64_13089` `cube-unmult_binary64_13073`
5×	`associate-*r/_binary64_12978`
4×	`exp-neg_binary64_13083` `cube-prod_binary64_13064` `--rgt-identity_binary64_13022`
3×	`pow-base-1_binary64_13096` `div0_binary64_13017`
2×	`rem-sqrt-square_binary64_13049`
1×	`1-exp_binary64_13080` `exp-1-e_binary64_13079` `cube-div_binary64_13065` `cube-neg_binary64_13063` `rem-square-sqrt_binary64_13048` `*-inverses_binary64_13016` `difference-of-sqr--1_binary64_13007` `difference-of-squares_binary64_13005`
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_13299` `erf-erfc_binary64_13298` `erf-odd_binary64_13297` `if-if-and-not_binary64_13296` `if-if-and_binary64_13295` `if-if-or-not_binary64_13294` `if-if-or_binary64_13293` `if-not_binary64_13292` `if-same_binary64_13291` `if-false_binary64_13290` `if-true_binary64_13289` `not-gte_binary64_13288` `not-lte_binary64_13287` `not-gt_binary64_13286` `not-lt_binary64_13285` `gte-same_binary64_13284` `lte-same_binary64_13283` `gt-same_binary64_13282` `lt-same_binary64_13281` `sinh---cosh_binary64_13228` `sinh-+-cosh_binary64_13227` `sinh-cosh_binary64_13226` `tanh-def-c_binary64_13225` `tanh-def-b_binary64_13224` `tanh-def-a_binary64_13223` `cosh-def_binary64_13222` `sinh-def_binary64_13221` `tan-neg_binary64_13168` `cos-neg_binary64_13167` `sin-neg_binary64_13166` `tan-0_binary64_13165` `cos-0_binary64_13164` `sin-0_binary64_13163` `hang-m-tan_binary64_13162` `hang-p-tan_binary64_13161` `hang-m0-tan_binary64_13160` `hang-p0-tan_binary64_13159` `hang-0m-tan_binary64_13158` `hang-0p-tan_binary64_13157` `tan-+PI/2_binary64_13156` `tan-+PI_binary64_13155` `tan-PI_binary64_13154` `tan-PI/3_binary64_13153` `tan-PI/4_binary64_13152` `tan-PI/6_binary64_13151` `cos-+PI/2_binary64_13150` `cos-+PI_binary64_13149` `cos-PI_binary64_13148` `cos-PI/2_binary64_13147` `cos-PI/3_binary64_13146` `cos-PI/4_binary64_13145` `cos-PI/6_binary64_13144` `sin-+PI/2_binary64_13143` `sin-+PI_binary64_13142` `sin-PI_binary64_13141` `sin-PI/2_binary64_13140` `sin-PI/3_binary64_13139` `sin-PI/4_binary64_13138` `sin-PI/6_binary64_13137` `sub-1-sin_binary64_13136` `sub-1-cos_binary64_13135` `-1-add-sin_binary64_13134` `-1-add-cos_binary64_13133` `1-sub-sin_binary64_13132` `1-sub-cos_binary64_13131` `cos-sin-sum_binary64_13130` `log-E_binary64_13126` `log-pow_binary64_13125` `log-rec_binary64_13124` `log-div_binary64_13123` `log-prod_binary64_13122` `pow-base-0_binary64_13120` `unpow1/3_binary64_13103` `unpow3_binary64_13102` `unpow2_binary64_13101` `unpow1/2_binary64_13100` `exp-to-pow_binary64_13098` `unpow0_binary64_13095` `unpow1_binary64_13094` `unpow-1_binary64_13093` `exp-lft-cube_binary64_13092` `exp-cbrt_binary64_13090` `div-exp_binary64_13087` `rec-exp_binary64_13086` `prod-exp_binary64_13085` `e-exp-1_binary64_13081` `exp-0_binary64_13078` `rem-log-exp_binary64_13077` `rem-exp-log_binary64_13076` `cube-mult_binary64_13066` `rem-3cbrt-rft_binary64_13062` `rem-3cbrt-lft_binary64_13061` `rem-cbrt-cube_binary64_13060` `rem-cube-cbrt_binary64_13059` `sqr-abs_binary64_13051` `mul-1-neg_binary64_13028` `/-rgt-identity_binary64_13027` `lft-mult-inverse_binary64_13014` `rgt-mult-inverse_binary64_13013` `remove-double-div_binary64_13012` `difference-of-sqr-1_binary64_13006` `unswap-sqr_binary64_13004` `cancel-sign-sub_binary64_13001`

Counts

1 → 5

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	18	16
2	28	16
3	39	16
4	54	16
5	84	16
6	147	16
7	742	16
8	2544	16

prune7.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	2	6

Error

0.0b

Counts

6 → 2

Compiler

Compiled 77 to 55 computations (28.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (*.f64 x y) 2)
7.8b	(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

rewrite77.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`*-un-lft-identity_binary64_13036`
15×	`times-frac_binary64_13042`
13×	`add-cube-cbrt_binary64_13071` `add-sqr-sqrt_binary64_13058`
9×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072`
7×	`associate-/r*_binary64_12980`
4×	`distribute-lft-out_binary64_12987` `associate-/l*_binary64_12981`
3×	`div-exp_binary64_13087` `cbrt-undiv_binary64_13070`
2×	`pow1_binary64_13097` `add-log-exp_binary64_13075` `frac-2neg_binary64_13047` `clear-num_binary64_13035` `div-inv_binary64_13033` `associate-/r/_binary64_12982`
1×	`flip3-+_binary64_13039` `flip-+_binary64_13010` `prod-exp_binary64_13085` `cbrt-unprod_binary64_13069`

Counts

2 → 54

Calls

2 calls:

7.0ms	(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))
5.0ms	(/.f64 (*.f64 x y) 2)

Compiler

Compiled 1038 to 628 computations (39.5% saved)

series213.0ms (5.6%)

Error

Counts

2 → 22

Calls

2 calls:

107.0ms	(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))
85.0ms	(/.f64 (*.f64 x y) 2)

Compiler

Compiled 754 to 590 computations (21.8% saved)

simplify230.0ms (6%)

Algorithm

1×	egg-herbie

Rules

577×	`associate-/l*_binary64_12981`
403×	`unswap-sqr_binary64_13004`
360×	`associate-l_binary64_12977`
275×	`associate-r_binary64_12976`
250×	`associate-*l/_binary64_12979`
239×	`associate-/r*_binary64_12980`
227×	`associate-/r/_binary64_12982`
224×	`associate-/l/_binary64_12983`
217×	`associate-*r/_binary64_12978`
132×	`*-commutative_binary64_12967`
105×	`sub-neg_binary64_13029`
88×	`div-sub_binary64_13041`
87×	`cancel-sign-sub-inv_binary64_13002`
85×	`sqr-pow_binary64_13008`
64×	`distribute-rgt-neg-in_binary64_12994`
59×	`times-frac_binary64_13042`
55×	`neg-sub0_binary64_13031` `distribute-lft-neg-in_binary64_12993`
54×	`neg-mul-1_binary64_13032`
52×	`pow-sqr_binary64_13009`
47×	`log-prod_binary64_13122`
46×	`log-div_binary64_13123` `*-lft-identity_binary64_13025`
44×	`cube-div_binary64_13065`
42×	`distribute-neg-frac_binary64_13000`
39×	`cube-prod_binary64_13064`
38×	`distribute-rgt-in_binary64_12986`
33×	`exp-prod_binary64_13088` `swap-sqr_binary64_13003`
30×	`distribute-lft-in_binary64_12985`
27×	`+-commutative_binary64_12966`
24×	`pow-plus_binary64_13099` `*-rgt-identity_binary64_13026` `associate-+l-_binary64_12971`
23×	`unsub-neg_binary64_13030`
22×	`/-rgt-identity_binary64_13027`
19×	`associate-+l+_binary64_12969`
18×	`log-pow_binary64_13125`
16×	`div-exp_binary64_13087` `prod-exp_binary64_13085`
15×	`associate-+r-_binary64_12970` `associate-+r+_binary64_12968`
14×	`associate--l+_binary64_12973`
13×	`sub0-neg_binary64_13023`
11×	`unpow3_binary64_13102` `distribute-lft-neg-out_binary64_12995`
9×	`cube-mult_binary64_13066`
8×	`cube-unmult_binary64_13073` `+-rgt-identity_binary64_13021`
7×	`log-rec_binary64_13124` `associate--r+_binary64_12972`
6×	`pow-base-1_binary64_13096` `exp-sqrt_binary64_13089`
4×	`rec-exp_binary64_13086` `div0_binary64_13017` `distribute-neg-in_binary64_12997`
3×	`exp-lft-sqr_binary64_13091` `rem-sqrt-square_binary64_13049` `associate--l-_binary64_12974`
2×	`unpow2_binary64_13101` `unpow1_binary64_13094` `distribute-rgt-out--_binary64_12990` `distribute-rgt-out_binary64_12989`
1×	`exp-diff_binary64_13084` `1-exp_binary64_13080` `rem-log-exp_binary64_13077` `remove-double-neg_binary64_13024` `mul0-rgt_binary64_13019` `mul0-lft_binary64_13018` `*-inverses_binary64_13016` `lft-mult-inverse_binary64_13014` `difference-of-sqr-1_binary64_13006` `difference-of-squares_binary64_13005` `distribute-rgt1-in_binary64_12992` `distribute-lft1-in_binary64_12991` `count-2_binary64_12984`
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_13299` `erf-erfc_binary64_13298` `erf-odd_binary64_13297` `if-if-and-not_binary64_13296` `if-if-and_binary64_13295` `if-if-or-not_binary64_13294` `if-if-or_binary64_13293` `if-not_binary64_13292` `if-same_binary64_13291` `if-false_binary64_13290` `if-true_binary64_13289` `not-gte_binary64_13288` `not-lte_binary64_13287` `not-gt_binary64_13286` `not-lt_binary64_13285` `gte-same_binary64_13284` `lte-same_binary64_13283` `gt-same_binary64_13282` `lt-same_binary64_13281` `sinh---cosh_binary64_13228` `sinh-+-cosh_binary64_13227` `sinh-cosh_binary64_13226` `tanh-def-c_binary64_13225` `tanh-def-b_binary64_13224` `tanh-def-a_binary64_13223` `cosh-def_binary64_13222` `sinh-def_binary64_13221` `tan-neg_binary64_13168` `cos-neg_binary64_13167` `sin-neg_binary64_13166` `tan-0_binary64_13165` `cos-0_binary64_13164` `sin-0_binary64_13163` `hang-m-tan_binary64_13162` `hang-p-tan_binary64_13161` `hang-m0-tan_binary64_13160` `hang-p0-tan_binary64_13159` `hang-0m-tan_binary64_13158` `hang-0p-tan_binary64_13157` `tan-+PI/2_binary64_13156` `tan-+PI_binary64_13155` `tan-PI_binary64_13154` `tan-PI/3_binary64_13153` `tan-PI/4_binary64_13152` `tan-PI/6_binary64_13151` `cos-+PI/2_binary64_13150` `cos-+PI_binary64_13149` `cos-PI_binary64_13148` `cos-PI/2_binary64_13147` `cos-PI/3_binary64_13146` `cos-PI/4_binary64_13145` `cos-PI/6_binary64_13144` `sin-+PI/2_binary64_13143` `sin-+PI_binary64_13142` `sin-PI_binary64_13141` `sin-PI/2_binary64_13140` `sin-PI/3_binary64_13139` `sin-PI/4_binary64_13138` `sin-PI/6_binary64_13137` `sub-1-sin_binary64_13136` `sub-1-cos_binary64_13135` `-1-add-sin_binary64_13134` `-1-add-cos_binary64_13133` `1-sub-sin_binary64_13132` `1-sub-cos_binary64_13131` `cos-sin-sum_binary64_13130` `log-E_binary64_13126` `pow-base-0_binary64_13120` `unpow1/3_binary64_13103` `unpow1/2_binary64_13100` `exp-to-pow_binary64_13098` `unpow0_binary64_13095` `unpow-1_binary64_13093` `exp-lft-cube_binary64_13092` `exp-cbrt_binary64_13090` `exp-neg_binary64_13083` `exp-sum_binary64_13082` `e-exp-1_binary64_13081` `exp-1-e_binary64_13079` `exp-0_binary64_13078` `rem-exp-log_binary64_13076` `cube-neg_binary64_13063` `rem-3cbrt-rft_binary64_13062` `rem-3cbrt-lft_binary64_13061` `rem-cbrt-cube_binary64_13060` `rem-cube-cbrt_binary64_13059` `sqr-abs_binary64_13051` `sqr-neg_binary64_13050` `rem-square-sqrt_binary64_13048` `mul-1-neg_binary64_13028` `--rgt-identity_binary64_13022` `+-lft-identity_binary64_13020` `+-inverses_binary64_13015` `rgt-mult-inverse_binary64_13013` `remove-double-div_binary64_13012` `difference-of-sqr--1_binary64_13007` `cancel-sign-sub_binary64_13001` `distribute-frac-neg_binary64_12999` `distribute-neg-out_binary64_12998` `distribute-rgt-neg-out_binary64_12996` `distribute-lft-out--_binary64_12988` `distribute-lft-out_binary64_12987` `associate--r-_binary64_12975`

Counts

76 → 313

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1247
1	314	1169
2	1037	1155
3	3802	1155

prune455.0ms (12%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	312	1	313
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	313	2	315

Error

Counts

315 → 2

Compiler

Compiled 6883 to 4436 computations (35.6% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 2 x) (/.f64 (/.f64 4 y) (*.f64 x x)))
9.5b	(/.f64 (/.f64 4 y) (*.f64 x x))

rewrite136.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

62×	`times-frac_binary64_13042`
41×	`add-sqr-sqrt_binary64_13058`
26×	`*-un-lft-identity_binary64_13036`
24×	`add-cube-cbrt_binary64_13071`
17×	`cancel-sign-sub-inv_binary64_13002`
14×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072`
13×	`associate-/l*_binary64_12981`
6×	`div-exp_binary64_13087` `cbrt-undiv_binary64_13070` `difference-of-squares_binary64_13005`
5×	`div-inv_binary64_13033`
4×	`add-log-exp_binary64_13075`
2×	`pow1_binary64_13097` `prod-exp_binary64_13085` `cbrt-unprod_binary64_13069`
1×	`frac-2neg_binary64_13047` `clear-num_binary64_13035` `associate-/l/_binary64_12983` `associate-/r*_binary64_12980` `diff-log_binary64_13128` `frac-sub_binary64_13045` `flip3--_binary64_13040` `sub-neg_binary64_13029` `flip--_binary64_13011` `distribute-lft-out--_binary64_12988`

Counts

2 → 82

Calls

2 calls:

19.0ms	(-.f64 (/.f64 2 x) (/.f64 (/.f64 4 y) (*.f64 x x)))
7.0ms	(/.f64 (/.f64 4 y) (*.f64 x x))

Compiler

Compiled 1797 to 1097 computations (39% saved)

series386.0ms (10.2%)

Error

Counts

2 → 18

Calls

2 calls:

240.0ms	(-.f64 (/.f64 2 x) (/.f64 (/.f64 4 y) (*.f64 x x)))
130.0ms	(/.f64 (/.f64 4 y) (*.f64 x x))

Compiler

Compiled 616 to 506 computations (17.9% saved)

simplify344.0ms (9.1%)

Algorithm

1×	egg-herbie

Rules

703×	`associate-/l*_binary64_12981`
442×	`associate-/l/_binary64_12983`
342×	`associate-/r/_binary64_12982`
302×	`*-commutative_binary64_12967`
211×	`distribute-neg-frac_binary64_13000`
131×	`associate-*l/_binary64_12979`
129×	`exp-prod_binary64_13088`
126×	`distribute-lft-neg-out_binary64_12995`
122×	`associate-*r/_binary64_12978`
107×	`distribute-rgt-in_binary64_12986`
104×	`distribute-lft-in_binary64_12985`
92×	`log-div_binary64_13123` `neg-sub0_binary64_13031`
84×	`distribute-rgt-neg-in_binary64_12994`
79×	`sub-neg_binary64_13029`
78×	`neg-mul-1_binary64_13032` `distribute-rgt-neg-out_binary64_12996`
77×	`associate-/r*_binary64_12980`
73×	`log-prod_binary64_13122`
65×	`cancel-sign-sub-inv_binary64_13002`
64×	`distribute-lft-neg-in_binary64_12993`
62×	`exp-sum_binary64_13082`
59×	`times-frac_binary64_13042`
53×	`+-commutative_binary64_12966`
46×	`div-sub_binary64_13041`
44×	`associate-l_binary64_12977`
33×	`cube-div_binary64_13065`
31×	`associate-r_binary64_12976`
29×	`cube-prod_binary64_13064` `sqr-pow_binary64_13008`
25×	`exp-diff_binary64_13084`
24×	`unpow3_binary64_13102`
21×	`swap-sqr_binary64_13003`
19×	`*-rgt-identity_binary64_13026` `unswap-sqr_binary64_13004`
18×	`log-rec_binary64_13124`
16×	`associate-+l-_binary64_12971`
15×	`pow-plus_binary64_13099` `associate-+l+_binary64_12969`
14×	`distribute-frac-neg_binary64_12999` `associate-+r-_binary64_12970`
13×	`distribute-rgt-out_binary64_12989`
12×	`pow-sqr_binary64_13009`
11×	`exp-neg_binary64_13083`
10×	`div-exp_binary64_13087` `prod-exp_binary64_13085`
8×	`exp-lft-sqr_binary64_13091` `*-lft-identity_binary64_13025`
6×	`log-pow_binary64_13125` `cube-unmult_binary64_13073` `cube-mult_binary64_13066` `associate-+r+_binary64_12968`
5×	`/-rgt-identity_binary64_13027` `associate--l+_binary64_12973`
3×	`rec-exp_binary64_13086` `+-rgt-identity_binary64_13021` `difference-of-squares_binary64_13005` `distribute-neg-in_binary64_12997` `associate--l-_binary64_12974` `associate--r+_binary64_12972`
2×	`exp-sqrt_binary64_13089` `unsub-neg_binary64_13030` `div0_binary64_13017` `cancel-sign-sub_binary64_13001` `distribute-rgt-out--_binary64_12990`
1×	`unpow2_binary64_13101` `unpow1_binary64_13094` `1-exp_binary64_13080` `rem-3cbrt-lft_binary64_13061` `rem-sqrt-square_binary64_13049` `rem-square-sqrt_binary64_13048` `--rgt-identity_binary64_13022` `*-inverses_binary64_13016` `distribute-neg-out_binary64_12998` `distribute-lft1-in_binary64_12991` `count-2_binary64_12984` `associate--r-_binary64_12975`
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_13299` `erf-erfc_binary64_13298` `erf-odd_binary64_13297` `if-if-and-not_binary64_13296` `if-if-and_binary64_13295` `if-if-or-not_binary64_13294` `if-if-or_binary64_13293` `if-not_binary64_13292` `if-same_binary64_13291` `if-false_binary64_13290` `if-true_binary64_13289` `not-gte_binary64_13288` `not-lte_binary64_13287` `not-gt_binary64_13286` `not-lt_binary64_13285` `gte-same_binary64_13284` `lte-same_binary64_13283` `gt-same_binary64_13282` `lt-same_binary64_13281` `sinh---cosh_binary64_13228` `sinh-+-cosh_binary64_13227` `sinh-cosh_binary64_13226` `tanh-def-c_binary64_13225` `tanh-def-b_binary64_13224` `tanh-def-a_binary64_13223` `cosh-def_binary64_13222` `sinh-def_binary64_13221` `tan-neg_binary64_13168` `cos-neg_binary64_13167` `sin-neg_binary64_13166` `tan-0_binary64_13165` `cos-0_binary64_13164` `sin-0_binary64_13163` `hang-m-tan_binary64_13162` `hang-p-tan_binary64_13161` `hang-m0-tan_binary64_13160` `hang-p0-tan_binary64_13159` `hang-0m-tan_binary64_13158` `hang-0p-tan_binary64_13157` `tan-+PI/2_binary64_13156` `tan-+PI_binary64_13155` `tan-PI_binary64_13154` `tan-PI/3_binary64_13153` `tan-PI/4_binary64_13152` `tan-PI/6_binary64_13151` `cos-+PI/2_binary64_13150` `cos-+PI_binary64_13149` `cos-PI_binary64_13148` `cos-PI/2_binary64_13147` `cos-PI/3_binary64_13146` `cos-PI/4_binary64_13145` `cos-PI/6_binary64_13144` `sin-+PI/2_binary64_13143` `sin-+PI_binary64_13142` `sin-PI_binary64_13141` `sin-PI/2_binary64_13140` `sin-PI/3_binary64_13139` `sin-PI/4_binary64_13138` `sin-PI/6_binary64_13137` `sub-1-sin_binary64_13136` `sub-1-cos_binary64_13135` `-1-add-sin_binary64_13134` `-1-add-cos_binary64_13133` `1-sub-sin_binary64_13132` `1-sub-cos_binary64_13131` `cos-sin-sum_binary64_13130` `log-E_binary64_13126` `pow-base-0_binary64_13120` `unpow1/3_binary64_13103` `unpow1/2_binary64_13100` `exp-to-pow_binary64_13098` `pow-base-1_binary64_13096` `unpow0_binary64_13095` `unpow-1_binary64_13093` `exp-lft-cube_binary64_13092` `exp-cbrt_binary64_13090` `e-exp-1_binary64_13081` `exp-1-e_binary64_13079` `exp-0_binary64_13078` `rem-log-exp_binary64_13077` `rem-exp-log_binary64_13076` `cube-neg_binary64_13063` `rem-3cbrt-rft_binary64_13062` `rem-cbrt-cube_binary64_13060` `rem-cube-cbrt_binary64_13059` `sqr-abs_binary64_13051` `sqr-neg_binary64_13050` `mul-1-neg_binary64_13028` `remove-double-neg_binary64_13024` `sub0-neg_binary64_13023` `+-lft-identity_binary64_13020` `mul0-rgt_binary64_13019` `mul0-lft_binary64_13018` `+-inverses_binary64_13015` `lft-mult-inverse_binary64_13014` `rgt-mult-inverse_binary64_13013` `remove-double-div_binary64_13012` `difference-of-sqr--1_binary64_13007` `difference-of-sqr-1_binary64_13006` `distribute-rgt1-in_binary64_12992` `distribute-lft-out--_binary64_12988` `distribute-lft-out_binary64_12987`

Counts

100 → 296

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	1838
1	528	1753
2	1659	1751
3	4677	1751

prune439.0ms (11.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	296	0	296
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	296	2	298

Error

Counts

298 → 2

Compiler

Compiled 6832 to 4145 computations (39.3% saved)

regimes86.0ms (2.3%)

Accuracy

Total 0.0b remaining (92.2%)

Threshold costs 0.0b (92.2%)

Compiler

Compiled 707 to 548 computations (22.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64_12966`
3×	`sub-neg_binary64_13029` `*-commutative_binary64_12967`
2×	`neg-mul-1_binary64_13032` `neg-sub0_binary64_13031`
1×	`1-exp_binary64_13080` `distribute-neg-frac_binary64_13000`
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_13296` `if-if-and_binary64_13295` `if-if-or-not_binary64_13294` `if-if-or_binary64_13293` `if-not_binary64_13292` `if-same_binary64_13291` `if-false_binary64_13290` `if-true_binary64_13289` `tan-0_binary64_13165` `cos-0_binary64_13164` `sin-0_binary64_13163` `unpow1_binary64_13094` `e-exp-1_binary64_13081` `exp-1-e_binary64_13079` `exp-0_binary64_13078` `sqr-abs_binary64_13051` `sqr-neg_binary64_13050` `unsub-neg_binary64_13030` `mul-1-neg_binary64_13028` `/-rgt-identity_binary64_13027` `-rgt-identity_binary64_13026` `-lft-identity_binary64_13025` `remove-double-neg_binary64_13024` `sub0-neg_binary64_13023` `--rgt-identity_binary64_13022` `+-rgt-identity_binary64_13021` `+-lft-identity_binary64_13020` `cancel-sign-sub-inv_binary64_13002` `cancel-sign-sub_binary64_13001` `distribute-frac-neg_binary64_12999` `distribute-neg-out_binary64_12998` `distribute-neg-in_binary64_12997` `distribute-rgt-neg-out_binary64_12996` `distribute-lft-neg-out_binary64_12995` `distribute-rgt-neg-in_binary64_12994` `distribute-lft-neg-in_binary64_12993`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	16	16
2	22	16
3	26	16
4	29	16
5	30	16

Proof

(- f64 h0 (/ f64 h1 (+ f64 1 (/ f64 (* f64 h0 h1) 2))))

end0.0ms (0%)

sample715.0ms (18.8%)

Algorithm

1×

intervals

Results

254.0ms	7996×	body	128	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 250 to 195 computations (22% saved)

Details

analyze50.0ms (1.3%)

sample19.0ms (0.5%)

simplify627.0ms (16.5%)

prune7.0ms (0.2%)

localize7.0ms (0.2%)

rewrite77.0ms (2%)

series213.0ms (5.6%)

simplify230.0ms (6%)

prune455.0ms (12%)

localize8.0ms (0.2%)

rewrite136.0ms (3.6%)

series386.0ms (10.2%)

simplify344.0ms (9.1%)

prune439.0ms (11.6%)

regimes86.0ms (2.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample715.0ms (18.8%)

Profiling