Details

analyze927.0ms (6.1%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.2%	0.1%	7
32.8%	67.1%	0.1%	8
38.2%	61.7%	0.1%	9
41%	58.9%	0.1%	10
43.9%	56%	0.1%	11
45.4%	54.5%	0.1%	12
46.9%	53%	0.1%	13
47.6%	52.3%	0.1%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample61.0ms (0.4%)

Algorithm

1×

intervals

Results

18.0ms	33×	body	2048	valid
15.0ms	50×	body	1024	valid
10.0ms	136×	body	128	valid
6.0ms	27×	body	512	valid
2.0ms	10×	body	256	valid

Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify147.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64_12980`
1×	`*-commutative_binary64_12967`
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` `pow-plus_binary64_13099` `exp-to-pow_binary64_13098` `pow-base-1_binary64_13096` `unpow0_binary64_13095` `unpow1_binary64_13094` `unpow-1_binary64_13093` `exp-lft-cube_binary64_13092` `exp-lft-sqr_binary64_13091` `exp-cbrt_binary64_13090` `exp-sqrt_binary64_13089` `exp-prod_binary64_13088` `div-exp_binary64_13087` `rec-exp_binary64_13086` `prod-exp_binary64_13085` `exp-diff_binary64_13084` `exp-neg_binary64_13083` `exp-sum_binary64_13082` `e-exp-1_binary64_13081` `1-exp_binary64_13080` `exp-1-e_binary64_13079` `exp-0_binary64_13078` `rem-log-exp_binary64_13077` `rem-exp-log_binary64_13076` `cube-unmult_binary64_13073` `cube-mult_binary64_13066` `cube-div_binary64_13065` `cube-prod_binary64_13064` `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-sqrt-square_binary64_13049` `rem-square-sqrt_binary64_13048` `times-frac_binary64_13042` `div-sub_binary64_13041` `neg-mul-1_binary64_13032` `neg-sub0_binary64_13031` `unsub-neg_binary64_13030` `sub-neg_binary64_13029` `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` `mul0-rgt_binary64_13019` `mul0-lft_binary64_13018` `div0_binary64_13017` `-inverses_binary64_13016` `+-inverses_binary64_13015` `lft-mult-inverse_binary64_13014` `rgt-mult-inverse_binary64_13013` `remove-double-div_binary64_13012` `pow-sqr_binary64_13009` `sqr-pow_binary64_13008` `difference-of-sqr--1_binary64_13007` `difference-of-sqr-1_binary64_13006` `difference-of-squares_binary64_13005` `unswap-sqr_binary64_13004` `swap-sqr_binary64_13003` `cancel-sign-sub-inv_binary64_13002` `cancel-sign-sub_binary64_13001` `distribute-neg-frac_binary64_13000` `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` `distribute-rgt1-in_binary64_12992` `distribute-lft1-in_binary64_12991` `distribute-rgt-out--_binary64_12990` `distribute-rgt-out_binary64_12989` `distribute-lft-out--_binary64_12988` `distribute-lft-out_binary64_12987` `distribute-rgt-in_binary64_12986` `distribute-lft-in_binary64_12985` `count-2_binary64_12984` `associate-/l/_binary64_12983` `associate-/r/_binary64_12982` `associate-/l_binary64_12981` `associate-l/_binary64_12979` `associate-r/_binary64_12978` `associate-l_binary64_12977` `associate-r_binary64_12976` `associate--r-_binary64_12975` `associate--l-_binary64_12974` `associate--l+_binary64_12973` `associate--r+_binary64_12972` `associate-+l-_binary64_12971` `associate-+r-_binary64_12970` `associate-+l+_binary64_12969` `associate-+r+_binary64_12968` `+-commutative_binary64_12966`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	12	20
2	14	20

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

35.5b

Counts

1 → 1

Compiler

Compiled 13 to 11 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

6.7b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
28.2b	(sin.f64 (/.f64 x (*.f64 y 2)))
29.1b	(tan.f64 (/.f64 x (*.f64 y 2)))

rewrite97.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

35.5b

Rules

11×	`add-cube-cbrt_binary64_13071` `add-sqr-sqrt_binary64_13058` `*-un-lft-identity_binary64_13036`
9×	`times-frac_binary64_13042`
5×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072`
3×	`pow1_binary64_13097` `add-log-exp_binary64_13075` `associate-/l_binary64_12981` `associate-/r_binary64_12980`
2×	`tan-quot_binary64_13195`
1×	`div-exp_binary64_13087` `cbrt-undiv_binary64_13070` `frac-2neg_binary64_13047` `clear-num_binary64_13035` `div-inv_binary64_13033` `associate-/l/_binary64_12983`

Counts

3 → 43

Calls

3 calls:

6.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
2.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
2.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

Compiler

Compiled 1017 to 747 computations (26.5% saved)

series517.0ms (3.4%)

Error

26.2b

Counts

3 → 27

Calls

3 calls:

241.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
174.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
70.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

Compiler

Compiled 1104 to 867 computations (21.5% saved)

simplify173.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

625×	`associate-/r*_binary64_12980`
512×	`associate-r_binary64_12976`
461×	`associate-l_binary64_12977`
371×	`associate-/l/_binary64_12983`
358×	`associate-/r/_binary64_12982`
160×	`times-frac_binary64_13042`
147×	`associate-/l*_binary64_12981`
121×	`distribute-neg-frac_binary64_13000`
97×	`distribute-rgt-neg-in_binary64_12994`
95×	`distribute-lft-neg-in_binary64_12993`
90×	`cancel-sign-sub-inv_binary64_13002`
67×	`associate-*r/_binary64_12978`
64×	`associate-*l/_binary64_12979`
46×	`*-commutative_binary64_12967`
37×	`sqr-pow_binary64_13008`
36×	`unswap-sqr_binary64_13004`
34×	`neg-mul-1_binary64_13032`
33×	`neg-sub0_binary64_13031`
22×	`pow-sqr_binary64_13009`
18×	`sub-neg_binary64_13029` `distribute-rgt-in_binary64_12986`
17×	`distribute-lft-neg-out_binary64_12995` `distribute-lft-in_binary64_12985`
15×	`distribute-rgt-neg-out_binary64_12996`
14×	`div-sub_binary64_13041`
13×	`pow-plus_binary64_13099`
12×	`distribute-rgt-out_binary64_12989`
11×	`distribute-lft-out_binary64_12987`
10×	`log-div_binary64_13123` `log-prod_binary64_13122` `cube-unmult_binary64_13073`
9×	`div-exp_binary64_13087` `prod-exp_binary64_13085` `cube-prod_binary64_13064` `/-rgt-identity_binary64_13027`
8×	`-rgt-identity_binary64_13026` `-lft-identity_binary64_13025`
7×	`exp-prod_binary64_13088` `cube-div_binary64_13065` `swap-sqr_binary64_13003` `+-commutative_binary64_12966`
6×	`distribute-neg-out_binary64_12998`
5×	`distribute-rgt-out--_binary64_12990`
4×	`distribute-rgt1-in_binary64_12992`
3×	`rec-exp_binary64_13086` `unsub-neg_binary64_13030` `sub0-neg_binary64_13023` `distribute-lft-out--_binary64_12988` `associate-+l-_binary64_12971`
2×	`unpow3_binary64_13102` `unpow2_binary64_13101` `unpow1_binary64_13094` `exp-sqrt_binary64_13089` `cube-mult_binary64_13066` `count-2_binary64_12984` `associate-+r-_binary64_12970`
1×	`log-pow_binary64_13125` `log-rec_binary64_13124` `exp-lft-sqr_binary64_13091` `exp-diff_binary64_13084` `1-exp_binary64_13080` `rem-log-exp_binary64_13077` `+-rgt-identity_binary64_13021` `*-inverses_binary64_13016` `rgt-mult-inverse_binary64_13013` `distribute-frac-neg_binary64_12999` `associate--l-_binary64_12974`
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` `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-sqrt-square_binary64_13049` `rem-square-sqrt_binary64_13048` `mul-1-neg_binary64_13028` `remove-double-neg_binary64_13024` `--rgt-identity_binary64_13022` `+-lft-identity_binary64_13020` `mul0-rgt_binary64_13019` `mul0-lft_binary64_13018` `div0_binary64_13017` `+-inverses_binary64_13015` `lft-mult-inverse_binary64_13014` `remove-double-div_binary64_13012` `difference-of-sqr--1_binary64_13007` `difference-of-sqr-1_binary64_13006` `difference-of-squares_binary64_13005` `cancel-sign-sub_binary64_13001` `distribute-neg-in_binary64_12997` `distribute-lft1-in_binary64_12991` `associate--r-_binary64_12975` `associate--l+_binary64_12973` `associate--r+_binary64_12972` `associate-+l+_binary64_12969` `associate-+r+_binary64_12968`

Counts

70 → 147

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	1525
1	157	1405
2	398	1387
3	1287	1387

prune267.0ms (1.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	131	16	147
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	16	148

Error

27.8b

Counts

148 → 16

Compiler

Compiled 3903 to 2830 computations (27.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
0.3b	(*.f64 (/.f64 1/2 y) x)
28.2b	(cos.f64 (*.f64 (/.f64 1/2 y) x))

rewrite108.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

25.9b

Rules

24×	`add-sqr-sqrt_binary64_13058`
19×	`add-cube-cbrt_binary64_13071` `*-un-lft-identity_binary64_13036` `times-frac_binary64_13042`
13×	`associate-l_binary64_12977`
12×	`add-exp-log_binary64_13074`
10×	`add-cbrt-cube_binary64_13072`
6×	`pow1_binary64_13097`
3×	`add-log-exp_binary64_13075` `div-exp_binary64_13087` `associate-r_binary64_12976` `associate-/l_binary64_12981` `associate-/r_binary64_12980`
2×	`prod-exp_binary64_13085` `cbrt-unprod_binary64_13069` `cbrt-undiv_binary64_13070` `unswap-sqr_binary64_13004` `div-inv_binary64_13033`
1×	`pow-prod-down_binary64_13107` `associate-l/_binary64_12979` `-commutative_binary64_12967` `inv-pow_binary64_13121` `pow-flip_binary64_13110` `1-exp_binary64_13080` `rec-exp_binary64_13086` `frac-2neg_binary64_13047` `clear-num_binary64_13035`

Counts

3 → 70

Calls

3 calls:

6.0ms	(*.f64 (/.f64 1/2 y) x)
3.0ms	(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
2.0ms	(cos.f64 (*.f64 (/.f64 1/2 y) x))

Compiler

Compiled 1077 to 827 computations (23.2% saved)

series273.0ms (1.8%)

Error

25.9b

Counts

3 → 24

Calls

3 calls:

106.0ms	(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
91.0ms	(*.f64 (/.f64 1/2 y) x)
57.0ms	(cos.f64 (*.f64 (/.f64 1/2 y) x))

Compiler

Compiled 588 to 543 computations (7.7% saved)

simplify304.0ms (2%)

Algorithm

1×	egg-herbie

Rules

411×	`div-sub_binary64_13041`
314×	`associate-l_binary64_12977`
282×	`associate-*l/_binary64_12979`
274×	`cancel-sign-sub-inv_binary64_13002`
225×	`associate-r_binary64_12976`
189×	`associate-*r/_binary64_12978`
181×	`sqr-pow_binary64_13008`
171×	`associate-/l*_binary64_12981`
151×	`distribute-rgt-neg-out_binary64_12996`
135×	`distribute-lft-neg-out_binary64_12995`
133×	`sub-neg_binary64_13029`
115×	`unswap-sqr_binary64_13004`
96×	`times-frac_binary64_13042`
90×	`exp-prod_binary64_13088`
89×	`log-prod_binary64_13122`
82×	`unsub-neg_binary64_13030`
76×	`cube-prod_binary64_13064`
74×	`log-div_binary64_13123`
73×	`neg-mul-1_binary64_13032` `distribute-neg-frac_binary64_13000`
71×	`associate-/r*_binary64_12980`
70×	`cube-div_binary64_13065` `swap-sqr_binary64_13003`
69×	`pow-sqr_binary64_13009`
67×	`*-commutative_binary64_12967`
65×	`neg-sub0_binary64_13031`
64×	`associate-/l/_binary64_12983`
63×	`*-rgt-identity_binary64_13026`
60×	`associate-/r/_binary64_12982`
52×	`distribute-rgt-neg-in_binary64_12994`
50×	`distribute-frac-neg_binary64_12999`
46×	`distribute-lft-neg-in_binary64_12993`
45×	`*-lft-identity_binary64_13025`
42×	`unpow3_binary64_13102`
41×	`associate-+l-_binary64_12971`
37×	`cube-mult_binary64_13066`
31×	`associate--l-_binary64_12974`
30×	`distribute-rgt-in_binary64_12986`
25×	`pow-plus_binary64_13099`
22×	`exp-to-pow_binary64_13098` `sub0-neg_binary64_13023`
21×	`log-pow_binary64_13125`
20×	`exp-sqrt_binary64_13089` `distribute-neg-out_binary64_12998`
19×	`exp-diff_binary64_13084`
18×	`distribute-neg-in_binary64_12997` `distribute-lft-in_binary64_12985`
17×	`exp-sum_binary64_13082`
16×	`log-rec_binary64_13124` `/-rgt-identity_binary64_13027` `+-commutative_binary64_12966`
15×	`exp-lft-sqr_binary64_13091` `cube-unmult_binary64_13073`
14×	`distribute-rgt-out_binary64_12989` `associate-+r-_binary64_12970`
13×	`rem-sqrt-square_binary64_13049` `mul0-lft_binary64_13018`
10×	`+-lft-identity_binary64_13020` `mul0-rgt_binary64_13019` `associate--r-_binary64_12975`
9×	`distribute-rgt-out--_binary64_12990`
7×	`prod-exp_binary64_13085` `associate--r+_binary64_12972`
5×	`div0_binary64_13017` `distribute-rgt1-in_binary64_12992`
4×	`pow-base-1_binary64_13096`
3×	`remove-double-neg_binary64_13024` `+-inverses_binary64_13015` `remove-double-div_binary64_13012` `cancel-sign-sub_binary64_13001` `distribute-lft-out--_binary64_12988` `distribute-lft-out_binary64_12987` `associate-+l+_binary64_12969`
2×	`unpow2_binary64_13101` `unpow1/2_binary64_13100` `unpow1_binary64_13094` `count-2_binary64_12984` `associate-+r+_binary64_12968`
1×	`div-exp_binary64_13087` `rec-exp_binary64_13086` `1-exp_binary64_13080` `exp-1-e_binary64_13079` `rem-log-exp_binary64_13077` `rem-exp-log_binary64_13076` `cube-neg_binary64_13063` `rem-cbrt-cube_binary64_13060` `sqr-neg_binary64_13050` `+-rgt-identity_binary64_13021` `*-inverses_binary64_13016` `rgt-mult-inverse_binary64_13013` `associate--l+_binary64_12973`
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` `unpow0_binary64_13095` `unpow-1_binary64_13093` `exp-lft-cube_binary64_13092` `exp-cbrt_binary64_13090` `exp-neg_binary64_13083` `e-exp-1_binary64_13081` `exp-0_binary64_13078` `rem-3cbrt-rft_binary64_13062` `rem-3cbrt-lft_binary64_13061` `rem-cube-cbrt_binary64_13059` `sqr-abs_binary64_13051` `rem-square-sqrt_binary64_13048` `mul-1-neg_binary64_13028` `--rgt-identity_binary64_13022` `lft-mult-inverse_binary64_13014` `difference-of-sqr--1_binary64_13007` `difference-of-sqr-1_binary64_13006` `difference-of-squares_binary64_13005` `distribute-lft1-in_binary64_12991`

Counts

94 → 310

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1328
1	252	1207
2	656	1146
3	1972	1146
4	2990	1146

prune535.0ms (3.5%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	290	20	310
Fresh	8	7	15
Picked	1	0	1
Done	0	0	0
Total	299	27	326

Error

25.6b

Counts

326 → 27

Compiler

Compiled 6423 to 4786 computations (25.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
28.1b	(cos.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (*.f64 1/2 x) (cbrt.f64 y))))

rewrite70.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

25.4b

Rules

9×	`cbrt-prod_binary64_13067`
7×	`add-cube-cbrt_binary64_13071` `add-sqr-sqrt_binary64_13058` `*-un-lft-identity_binary64_13036`
4×	`pow1_binary64_13097` `add-log-exp_binary64_13075` `add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072`
3×	`pow1/3_binary64_13118`

Counts

4 → 40

Calls

4 calls:

2.0ms	(cos.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (*.f64 1/2 x) (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 912 to 483 computations (47% saved)

series451.0ms (3%)

Error

24.5b

Counts

4 → 18

Calls

4 calls:

121.0ms	(cbrt.f64 y)
111.0ms	(cbrt.f64 y)
108.0ms	(cbrt.f64 y)
89.0ms	(cos.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (*.f64 1/2 x) (cbrt.f64 y))))

Compiler

Compiled 788 to 667 computations (15.4% saved)

simplify143.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

428×	`unswap-sqr_binary64_13004`
427×	`associate-/r/_binary64_12982`
354×	`distribute-rgt-neg-in_binary64_12994`
300×	`cancel-sign-sub-inv_binary64_13002`
275×	`times-frac_binary64_13042`
272×	`distribute-neg-frac_binary64_13000`
262×	`*-commutative_binary64_12967`
197×	`associate-/r*_binary64_12980`
177×	`neg-mul-1_binary64_13032` `neg-sub0_binary64_13031`
153×	`distribute-lft-neg-in_binary64_12993`
147×	`div-sub_binary64_13041`
128×	`associate-l_binary64_12977`
116×	`associate-r_binary64_12976`
115×	`associate-/l*_binary64_12981`
101×	`sqr-pow_binary64_13008`
92×	`log-prod_binary64_13122`
62×	`pow-sqr_binary64_13009` `associate-*l/_binary64_12979`
61×	`sub-neg_binary64_13029`
55×	`associate-*r/_binary64_12978`
44×	`swap-sqr_binary64_13003`
35×	`associate-/l/_binary64_12983`
30×	`pow-plus_binary64_13099`
29×	`distribute-frac-neg_binary64_12999`
28×	`cube-prod_binary64_13064`
27×	`distribute-rgt-in_binary64_12986`
26×	`distribute-lft-in_binary64_12985`
22×	`log-pow_binary64_13125`
20×	`unsub-neg_binary64_13030`
18×	`cube-unmult_binary64_13073`
15×	`distribute-lft-neg-out_binary64_12995`
14×	`exp-prod_binary64_13088` `div0_binary64_13017`
11×	`+-commutative_binary64_12966`
10×	`*-lft-identity_binary64_13025` `mul0-rgt_binary64_13019` `mul0-lft_binary64_13018`
9×	`distribute-rgt-neg-out_binary64_12996`
8×	`*-rgt-identity_binary64_13026`
7×	`log-div_binary64_13123` `rem-sqrt-square_binary64_13049`
6×	`associate-+r-_binary64_12970` `associate-+r+_binary64_12968`
5×	`/-rgt-identity_binary64_13027`
4×	`prod-exp_binary64_13085` `cube-div_binary64_13065` `distribute-neg-in_binary64_12997`
3×	`unpow3_binary64_13102` `count-2_binary64_12984`
2×	`unpow1/3_binary64_13103` `unpow2_binary64_13101` `unpow1_binary64_13094` `exp-lft-sqr_binary64_13091` `sub0-neg_binary64_13023` `+-rgt-identity_binary64_13021` `*-inverses_binary64_13016` `associate-+l-_binary64_12971` `associate-+l+_binary64_12969`
1×	`1-exp_binary64_13080` `cube-mult_binary64_13066` `rem-3cbrt-lft_binary64_13061` `mul-1-neg_binary64_13028` `rgt-mult-inverse_binary64_13013` `distribute-rgt-out_binary64_12989` `distribute-lft-out_binary64_12987`
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-rec_binary64_13124` `pow-base-0_binary64_13120` `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` `exp-sqrt_binary64_13089` `div-exp_binary64_13087` `rec-exp_binary64_13086` `exp-diff_binary64_13084` `exp-neg_binary64_13083` `exp-sum_binary64_13082` `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` `rem-square-sqrt_binary64_13048` `remove-double-neg_binary64_13024` `--rgt-identity_binary64_13022` `+-lft-identity_binary64_13020` `+-inverses_binary64_13015` `lft-mult-inverse_binary64_13014` `remove-double-div_binary64_13012` `difference-of-sqr--1_binary64_13007` `difference-of-sqr-1_binary64_13006` `difference-of-squares_binary64_13005` `cancel-sign-sub_binary64_13001` `distribute-neg-out_binary64_12998` `distribute-rgt1-in_binary64_12992` `distribute-lft1-in_binary64_12991` `distribute-rgt-out--_binary64_12990` `distribute-lft-out--_binary64_12988` `associate--r-_binary64_12975` `associate--l-_binary64_12974` `associate--l+_binary64_12973` `associate--r+_binary64_12972`

Counts

58 → 69

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	601
1	104	429
2	349	429
3	1691	429
4	3659	429

prune171.0ms (1.1%)

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	57	12	69
Fresh	5	21	26
Picked	1	0	1
Done	0	0	0
Total	63	33	96

Error

25.3b

Counts

96 → 33

Compiler

Compiled 2437 to 1564 computations (35.8% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
28.1b	(cos.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (*.f64 1/2 x) (cbrt.f64 y))))
28.1b	(cos.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 1/2 (/.f64 (cbrt.f64 y) x))))
28.1b	(cos.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 1/2 (/.f64 (cbrt.f64 y) x))))

rewrite113.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

25.2b

Rules

5×	`add-cube-cbrt_binary64_13071` `add-sqr-sqrt_binary64_13058` `*-un-lft-identity_binary64_13036`
4×	`pow1_binary64_13097` `add-log-exp_binary64_13075` `add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072`
3×	`cbrt-prod_binary64_13067`
1×	`pow1/3_binary64_13118`

Counts

4 → 32

Calls

4 calls:

2.0ms	(cos.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 1/2 (/.f64 (cbrt.f64 y) x))))
2.0ms	(cos.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 1/2 (/.f64 (cbrt.f64 y) x))))
2.0ms	(cos.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (*.f64 1/2 x) (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1992 to 1014 computations (49.1% saved)

series519.0ms (3.4%)

Error

25.2b

Counts

4 → 30

Calls

4 calls:

125.0ms	(cbrt.f64 y)
112.0ms	(cos.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 1/2 (/.f64 (cbrt.f64 y) x))))
110.0ms	(cos.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (*.f64 1/2 x) (cbrt.f64 y))))
103.0ms	(cos.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 1/2 (/.f64 (cbrt.f64 y) x))))

Compiler

Compiled 3783 to 2436 computations (35.6% saved)

simplify403.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

437×	`associate-/r/_binary64_12982`
428×	`unswap-sqr_binary64_13004`
354×	`distribute-rgt-neg-in_binary64_12994`
300×	`cancel-sign-sub-inv_binary64_13002`
295×	`times-frac_binary64_13042`
272×	`distribute-neg-frac_binary64_13000`
260×	`*-commutative_binary64_12967`
199×	`associate-/r*_binary64_12980`
177×	`neg-mul-1_binary64_13032` `neg-sub0_binary64_13031`
153×	`distribute-lft-neg-in_binary64_12993`
147×	`div-sub_binary64_13041`
132×	`associate-l_binary64_12977`
119×	`associate-/l*_binary64_12981`
117×	`associate-r_binary64_12976`
101×	`sqr-pow_binary64_13008`
92×	`log-prod_binary64_13122`
72×	`associate-*l/_binary64_12979`
62×	`pow-sqr_binary64_13009`
61×	`sub-neg_binary64_13029`
60×	`associate-*r/_binary64_12978`
44×	`swap-sqr_binary64_13003`
41×	`associate-/l/_binary64_12983`
30×	`pow-plus_binary64_13099`
29×	`distribute-frac-neg_binary64_12999`
28×	`cube-prod_binary64_13064`
27×	`distribute-rgt-in_binary64_12986`
26×	`distribute-lft-in_binary64_12985`
22×	`log-pow_binary64_13125`
20×	`unsub-neg_binary64_13030`
18×	`cube-unmult_binary64_13073`
15×	`distribute-lft-neg-out_binary64_12995`
14×	`exp-prod_binary64_13088` `div0_binary64_13017`
11×	`+-commutative_binary64_12966`
10×	`*-lft-identity_binary64_13025` `mul0-rgt_binary64_13019` `mul0-lft_binary64_13018`
9×	`distribute-rgt-neg-out_binary64_12996`
8×	`*-rgt-identity_binary64_13026`
7×	`log-div_binary64_13123` `rem-sqrt-square_binary64_13049`
6×	`associate-+r-_binary64_12970` `associate-+r+_binary64_12968`
5×	`/-rgt-identity_binary64_13027`
4×	`prod-exp_binary64_13085` `cube-div_binary64_13065` `distribute-neg-in_binary64_12997`
3×	`unpow3_binary64_13102` `count-2_binary64_12984`
2×	`unpow1/3_binary64_13103` `unpow2_binary64_13101` `unpow1_binary64_13094` `exp-lft-sqr_binary64_13091` `sub0-neg_binary64_13023` `+-rgt-identity_binary64_13021` `*-inverses_binary64_13016` `associate-+l-_binary64_12971` `associate-+l+_binary64_12969`
1×	`1-exp_binary64_13080` `cube-mult_binary64_13066` `rem-3cbrt-lft_binary64_13061` `mul-1-neg_binary64_13028` `rgt-mult-inverse_binary64_13013` `distribute-rgt-out_binary64_12989` `distribute-lft-out_binary64_12987`
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-rec_binary64_13124` `pow-base-0_binary64_13120` `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` `exp-sqrt_binary64_13089` `div-exp_binary64_13087` `rec-exp_binary64_13086` `exp-diff_binary64_13084` `exp-neg_binary64_13083` `exp-sum_binary64_13082` `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` `rem-square-sqrt_binary64_13048` `remove-double-neg_binary64_13024` `--rgt-identity_binary64_13022` `+-lft-identity_binary64_13020` `+-inverses_binary64_13015` `lft-mult-inverse_binary64_13014` `remove-double-div_binary64_13012` `difference-of-sqr--1_binary64_13007` `difference-of-sqr-1_binary64_13006` `difference-of-squares_binary64_13005` `cancel-sign-sub_binary64_13001` `distribute-neg-out_binary64_12998` `distribute-rgt1-in_binary64_12992` `distribute-lft1-in_binary64_12991` `distribute-rgt-out--_binary64_12990` `distribute-lft-out--_binary64_12988` `associate--r-_binary64_12975` `associate--l-_binary64_12974` `associate--l+_binary64_12973` `associate--r+_binary64_12972`

Counts

62 → 202

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	1123
1	109	615
2	363	615
3	1732	615
4	3711	615

prune748.0ms (4.9%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	194	8	202
Fresh	4	28	32
Picked	1	0	1
Done	0	0	0
Total	199	36	235

Error

25.2b

Counts

235 → 36

Compiler

Compiled 11273 to 6089 computations (46% saved)

regimes2.6s (17.3%)

Accuracy

Total 3.4b remaining (12.1%)

Threshold costs 0b (0%)

Compiler

Compiled 29103 to 22350 computations (23.2% saved)

bsearch1.0ms (0%)

Steps

Iters	Range		Point
0	1.8768044084113802	1.8950687700556796	1.8859365892335298

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1× 1-exp_binary64_13080 /-rgt-identity_binary64_13027 *-commutative_binary64_12967

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 neg-mul-1_binary64_13032 neg-sub0_binary64_13031 unsub-neg_binary64_13030 sub-neg_binary64_13029 mul-1-neg_binary64_13028 *-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-neg-frac_binary64_13000 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 +-commutative_binary64_12966

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	18	46

Proof

(if real (<= f64 (/ f64 (tan f64 (/ f64 h0 (* f64 h1 2))) (sin f64 (/ f64 h0 (* f64 h1 2)))) 8493503320516509/4503599627370496) (/ f64 (tan f64 (/ f64 h0 (* f64 h1 2))) (sin f64 (/ f64 h0 (* f64 h1 2)))) (=> (/ f64 1 1)))
/-rgt-identity_binary64_13027 =>
(if real (<= f64 (/ f64 (tan f64 (/ f64 h0 (* f64 h1 2))) (sin f64 (/ f64 h0 (* f64 h1 2)))) 8493503320516509/4503599627370496) (/ f64 (tan f64 (/ f64 h0 (* f64 h1 2))) (sin f64 (/ f64 h0 (* f64 h1 2)))) 1)

end0.0ms (0%)

sample6.5s (42.7%)

Algorithm

1×

intervals

Results

507.0ms	1079×	body	2048	valid
403.0ms	1321×	body	1024	valid
320.0ms	4282×	body	128	valid
191.0ms	840×	body	512	valid
77.0ms	477×	body	256	valid
1.0ms	1×	body	4096	valid

Compiler

Compiled 5471 to 4184 computations (23.5% saved)

Details

analyze927.0ms (6.1%)

sample61.0ms (0.4%)

simplify147.0ms (1%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite97.0ms (0.6%)

series517.0ms (3.4%)

simplify173.0ms (1.1%)

prune267.0ms (1.8%)

localize9.0ms (0.1%)

rewrite108.0ms (0.7%)

series273.0ms (1.8%)

simplify304.0ms (2%)

prune535.0ms (3.5%)

localize12.0ms (0.1%)

rewrite70.0ms (0.5%)

series451.0ms (3%)

simplify143.0ms (0.9%)

prune171.0ms (1.1%)

localize27.0ms (0.2%)

rewrite113.0ms (0.7%)

series519.0ms (3.4%)

simplify403.0ms (2.6%)

prune748.0ms (4.9%)

regimes2.6s (17.3%)

bsearch1.0ms (0%)

simplify7.0ms (0%)

end0.0ms (0%)

sample6.5s (42.7%)

Profiling