Details

analyze787.0ms (4.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

1147×	`associate-/l*_binary64_12981`
581×	`*-commutative_binary64_12967`
539×	`times-frac_binary64_13042`
459×	`sqr-pow_binary64_13008`
450×	`cube-prod_binary64_13064`
447×	`distribute-rgt-in_binary64_12986`
414×	`associate-/l/_binary64_12983`
397×	`associate-/r*_binary64_12980`
395×	`distribute-lft-in_binary64_12985`
297×	`associate-/r/_binary64_12982`
261×	`associate-l_binary64_12977`
243×	`pow-sqr_binary64_13009`
228×	`associate-r_binary64_12976`
222×	`unswap-sqr_binary64_13004`
168×	`pow-plus_binary64_13099`
161×	`remove-double-div_binary64_13012`
142×	`associate-*l/_binary64_12979`
126×	`*-lft-identity_binary64_13025`
117×	`*-rgt-identity_binary64_13026`
102×	`cube-unmult_binary64_13073`
78×	`unpow3_binary64_13102` `cube-mult_binary64_13066`
63×	`associate-*r/_binary64_12978`
44×	`distribute-rgt-out_binary64_12989`
27×	`/-rgt-identity_binary64_13027`
15×	`+-commutative_binary64_12966`
9×	`cube-div_binary64_13065`
6×	`swap-sqr_binary64_13003`
4×	`distribute-rgt1-in_binary64_12992` `distribute-lft1-in_binary64_12991`
1×	`1-exp_binary64_13080` `swap-x-y`
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` `unpow2_binary64_13101` `unpow1/2_binary64_13100` `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` `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-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` `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` `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` `difference-of-sqr--1_binary64_13007` `difference-of-sqr-1_binary64_13006` `difference-of-squares_binary64_13005` `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-rgt-out--_binary64_12990` `distribute-lft-out--_binary64_12988` `distribute-lft-out_binary64_12987` `count-2_binary64_12984` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	64
1	81	64
2	222	64
3	538	64
4	1329	64
5	1351	64
6	1477	64
7	1640	64
8	1729	64
9	1648	64
10	2210	64
11	2226	64
12	2396	64
13	2414	64
14	2417	64
15	2504	64
16	2471	64
17	2380	64
18	2395	64
19	2410	64
20	2869	64
21	3572	64
22	4014	64
23	5331	64
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
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	64%	0.1%	9
47.6%	49.9%	2.5%	10
49.1%	46.8%	4%	11
51.1%	44.1%	4.8%	12
60.2%	29.9%	9.9%	13
60.6%	27.9%	11.6%	14

Symmetry

(sort x y)

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample29.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	51×	body	128	invalid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

900×	`associate-*r/_binary64_12978`
817×	`associate-/l/_binary64_12983`
749×	`associate-*l/_binary64_12979`
522×	`associate-/l*_binary64_12981`
413×	`associate-/r/_binary64_12982`
395×	`*-commutative_binary64_12967`
352×	`sqr-pow_binary64_13008`
208×	`unswap-sqr_binary64_13004`
202×	`associate-/r*_binary64_12980`
140×	`pow-sqr_binary64_13009`
126×	`cube-prod_binary64_13064`
93×	`*-rgt-identity_binary64_13026`
88×	`associate-r_binary64_12976`
78×	`associate-l_binary64_12977`
64×	`unpow3_binary64_13102`
61×	`times-frac_binary64_13042`
60×	`cube-mult_binary64_13066`
49×	`distribute-rgt-in_binary64_12986`
48×	`*-lft-identity_binary64_13025`
46×	`pow-plus_binary64_13099`
35×	`distribute-lft-in_binary64_12985`
30×	`/-rgt-identity_binary64_13027`
18×	`distribute-rgt-out_binary64_12989`
13×	`rem-sqrt-square_binary64_13049`
11×	`cube-unmult_binary64_13073`
6×	`unpow2_binary64_13101` `unpow1/2_binary64_13100` `unpow1_binary64_13094`
2×	`distribute-lft-out_binary64_12987`
1×	`1-exp_binary64_13080` `+-commutative_binary64_12966`
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` `exp-to-pow_binary64_13098` `pow-base-1_binary64_13096` `unpow0_binary64_13095` `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` `exp-1-e_binary64_13079` `exp-0_binary64_13078` `rem-log-exp_binary64_13077` `rem-exp-log_binary64_13076` `cube-div_binary64_13065` `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` `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` `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` `difference-of-sqr--1_binary64_13007` `difference-of-sqr-1_binary64_13006` `difference-of-squares_binary64_13005` `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-lft-out--_binary64_12988` `count-2_binary64_12984` `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`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	30	16
2	76	16
3	185	16
4	299	16
5	359	16
6	373	16
7	549	16
8	904	16
9	2095	16
10	2637	16
11	2621	16
12	2733	16
13	2915	16
14	3008	16
15	3765	16
16	5346	16

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

12.9b

Counts

1 → 1

Compiler

Compiled 11 to 9 computations (18.2% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 z z) (+.f64 z 1))
12.5b	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

rewrite88.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

5.1b

Rules

28×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072`
12×	`prod-exp_binary64_13085` `cbrt-unprod_binary64_13069`
7×	`pow1_binary64_13097`
6×	`div-exp_binary64_13087` `cbrt-undiv_binary64_13070`
5×	`*-un-lft-identity_binary64_13036`
4×	`add-sqr-sqrt_binary64_13058` `associate-r/_binary64_12978` `associate-r*_binary64_12976`
3×	`add-cube-cbrt_binary64_13071` `pow-prod-down_binary64_13107`
2×	`add-log-exp_binary64_13075` `flip3-+_binary64_13039` `associate-/r/_binary64_12982` `flip-+_binary64_13010`
1×	`frac-2neg_binary64_13047` `times-frac_binary64_13042` `clear-num_binary64_13035` `div-inv_binary64_13033` `associate-/l_binary64_12981` `associate-/r_binary64_12980` `unswap-sqr_binary64_13004` `distribute-rgt-in_binary64_12986` `distribute-lft-in_binary64_12985` `associate-l_binary64_12977` `distribute-lft-out_binary64_12987` `*-commutative_binary64_12967`

Counts

2 → 51

Calls

2 calls:

11.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))
8.0ms	(.f64 (.f64 z z) (+.f64 z 1))

Compiler

Compiled 1000 to 448 computations (55.2% saved)

series406.0ms (2.2%)

Error

12.8b

Counts

2 → 24

Calls

2 calls:

319.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))
66.0ms	(.f64 (.f64 z z) (+.f64 z 1))

Compiler

Compiled 763 to 504 computations (33.9% saved)

simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

727×	`associate-*l/_binary64_12979`
397×	`associate-/l/_binary64_12983`
289×	`times-frac_binary64_13042`
250×	`distribute-rgt-in_binary64_12986`
231×	`associate-/r/_binary64_12982`
204×	`distribute-lft-in_binary64_12985`
146×	`cancel-sign-sub-inv_binary64_13002`
144×	`associate-/l*_binary64_12981`
129×	`associate-/r*_binary64_12980`
123×	`associate-l_binary64_12977`
110×	`log-div_binary64_13123`
88×	`associate-r_binary64_12976`
83×	`cube-div_binary64_13065`
70×	`log-prod_binary64_13122`
58×	`sub-neg_binary64_13029`
55×	`*-commutative_binary64_12967`
48×	`distribute-rgt-neg-in_binary64_12994`
45×	`cube-prod_binary64_13064`
43×	`distribute-lft-neg-in_binary64_12993`
42×	`unswap-sqr_binary64_13004`
38×	`exp-prod_binary64_13088`
32×	`distribute-rgt-out_binary64_12989`
27×	`sqr-pow_binary64_13008`
26×	`+-commutative_binary64_12966`
23×	`unpow3_binary64_13102`
22×	`neg-mul-1_binary64_13032` `neg-sub0_binary64_13031` `swap-sqr_binary64_13003`
21×	`cube-mult_binary64_13066`
20×	`associate-*r/_binary64_12978`
19×	`distribute-neg-in_binary64_12997`
18×	`associate--r+_binary64_12972`
17×	`unsub-neg_binary64_13030` `distribute-rgt-out--_binary64_12990` `associate--l+_binary64_12973`
16×	`distribute-neg-frac_binary64_13000`
13×	`*-lft-identity_binary64_13025`
11×	`cube-unmult_binary64_13073`
10×	`*-rgt-identity_binary64_13026`
8×	`log-rec_binary64_13124`
6×	`pow-plus_binary64_13099` `exp-sum_binary64_13082` `div-sub_binary64_13041` `associate-+l+_binary64_12969`
5×	`/-rgt-identity_binary64_13027`
4×	`distribute-lft-neg-out_binary64_12995` `distribute-lft-out--_binary64_12988` `distribute-lft-out_binary64_12987`
3×	`log-pow_binary64_13125`
2×	`unpow1/2_binary64_13100` `distribute-rgt-neg-out_binary64_12996`
1×	`unpow2_binary64_13101` `unpow1_binary64_13094` `1-exp_binary64_13080` `exp-1-e_binary64_13079` `pow-sqr_binary64_13009` `difference-of-sqr--1_binary64_13007` `difference-of-sqr-1_binary64_13006` `distribute-lft1-in_binary64_12991` `count-2_binary64_12984` `associate-+r+_binary64_12968`
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` `exp-to-pow_binary64_13098` `pow-base-1_binary64_13096` `unpow0_binary64_13095` `unpow-1_binary64_13093` `exp-lft-cube_binary64_13092` `exp-lft-sqr_binary64_13091` `exp-cbrt_binary64_13090` `exp-sqrt_binary64_13089` `div-exp_binary64_13087` `rec-exp_binary64_13086` `prod-exp_binary64_13085` `exp-diff_binary64_13084` `exp-neg_binary64_13083` `e-exp-1_binary64_13081` `exp-0_binary64_13078` `rem-log-exp_binary64_13077` `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` `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` `difference-of-squares_binary64_13005` `cancel-sign-sub_binary64_13001` `distribute-frac-neg_binary64_12999` `distribute-neg-out_binary64_12998` `distribute-rgt1-in_binary64_12992` `associate--r-_binary64_12975` `associate--l-_binary64_12974` `associate-+l-_binary64_12971` `associate-+r-_binary64_12970`

Counts

75 → 62

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1493
1	337	1209
2	1625	1149
3	4704	1149
4	4987	1149
5	4961	1149

prune68.0ms (0.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	5	63

Error

3.3b

Counts

63 → 5

Compiler

Compiled 976 to 467 computations (52.2% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (+.f64 z 1))
3.7b	(/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1)))
6.5b	(/.f64 x (/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1))))

rewrite318.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

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

Counts

3 → 205

Calls

3 calls:

13.0ms	(/.f64 x (/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1))))
10.0ms	(/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1)))
5.0ms	(/.f64 y (+.f64 z 1))

Compiler

Compiled 4356 to 2315 computations (46.9% saved)

series610.0ms (3.3%)

Error

3.3b

Counts

3 → 42

Calls

3 calls:

309.0ms	(/.f64 x (/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1))))
166.0ms	(/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1)))
98.0ms	(/.f64 y (+.f64 z 1))

Compiler

Compiled 1383 to 902 computations (34.8% saved)

simplify194.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

306×	`associate-/r/_binary64_12982`
304×	`sub-neg_binary64_13029`
267×	`distribute-rgt-in_binary64_12986`
254×	`associate-/l/_binary64_12983`
253×	`associate-/l*_binary64_12981`
246×	`cancel-sign-sub-inv_binary64_13002`
227×	`distribute-lft-in_binary64_12985` `associate-*l/_binary64_12979`
197×	`associate-/r*_binary64_12980`
161×	`*-commutative_binary64_12967`
154×	`times-frac_binary64_13042`
137×	`associate-l_binary64_12977`
104×	`associate-*r/_binary64_12978`
92×	`log-div_binary64_13123`
86×	`cube-prod_binary64_13064`
84×	`log-prod_binary64_13122` `unsub-neg_binary64_13030`
76×	`cube-div_binary64_13065` `distribute-rgt-neg-in_binary64_12994`
72×	`neg-sub0_binary64_13031`
70×	`neg-mul-1_binary64_13032`
68×	`*-rgt-identity_binary64_13026` `distribute-lft-neg-in_binary64_12993`
58×	`associate-r_binary64_12976`
56×	`associate--l+_binary64_12973`
55×	`associate-+l-_binary64_12971`
52×	`distribute-neg-frac_binary64_13000` `associate--r+_binary64_12972`
49×	`div-sub_binary64_13041`
44×	`+-commutative_binary64_12966`
41×	`distribute-rgt-out_binary64_12989`
40×	`exp-prod_binary64_13088`
37×	`*-lft-identity_binary64_13025` `distribute-neg-in_binary64_12997` `distribute-rgt-out--_binary64_12990`
31×	`/-rgt-identity_binary64_13027` `unswap-sqr_binary64_13004`
26×	`unpow3_binary64_13102`
24×	`cube-mult_binary64_13066`
22×	`swap-sqr_binary64_13003`
21×	`sqr-pow_binary64_13008` `distribute-lft-out--_binary64_12988`
15×	`associate--r-_binary64_12975`
14×	`log-rec_binary64_13124` `exp-sum_binary64_13082` `remove-double-div_binary64_13012`
13×	`associate--l-_binary64_12974`
11×	`distribute-lft-out_binary64_12987`
10×	`cube-unmult_binary64_13073`
7×	`associate-+l+_binary64_12969`
6×	`distribute-lft-neg-out_binary64_12995`
5×	`distribute-rgt1-in_binary64_12992`
4×	`pow-plus_binary64_13099`
3×	`mul-1-neg_binary64_13028`
2×	`log-pow_binary64_13125` `remove-double-neg_binary64_13024` `div0_binary64_13017` `distribute-lft1-in_binary64_12991` `associate-+r-_binary64_12970`
1×	`unpow2_binary64_13101` `unpow1/2_binary64_13100` `unpow1_binary64_13094` `1-exp_binary64_13080` `rem-sqrt-square_binary64_13049` `difference-of-sqr--1_binary64_13007` `difference-of-sqr-1_binary64_13006` `difference-of-squares_binary64_13005` `count-2_binary64_12984` `associate-+r+_binary64_12968`
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` `exp-to-pow_binary64_13098` `pow-base-1_binary64_13096` `unpow0_binary64_13095` `unpow-1_binary64_13093` `exp-lft-cube_binary64_13092` `exp-lft-sqr_binary64_13091` `exp-cbrt_binary64_13090` `exp-sqrt_binary64_13089` `div-exp_binary64_13087` `rec-exp_binary64_13086` `prod-exp_binary64_13085` `exp-diff_binary64_13084` `exp-neg_binary64_13083` `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-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` `sub0-neg_binary64_13023` `--rgt-identity_binary64_13022` `+-rgt-identity_binary64_13021` `+-lft-identity_binary64_13020` `mul0-rgt_binary64_13019` `mul0-lft_binary64_13018` `*-inverses_binary64_13016` `+-inverses_binary64_13015` `lft-mult-inverse_binary64_13014` `rgt-mult-inverse_binary64_13013` `pow-sqr_binary64_13009` `cancel-sign-sub_binary64_13001` `distribute-frac-neg_binary64_12999` `distribute-neg-out_binary64_12998` `distribute-rgt-neg-out_binary64_12996`

Counts

247 → 189

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	341	5578
1	788	5184
2	3098	5055
3	4452	5043
4	5049	5043

prune205.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	180	9	189
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	185	9	194

Error

0.0b

Counts

194 → 9

Compiler

Compiled 3400 to 1586 computations (53.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.2b	(/.f64 x (/.f64 z (cbrt.f64 (/.f64 y (+.f64 z 1)))))
11.5b	(cbrt.f64 (/.f64 y (+.f64 z 1)))
11.5b	(cbrt.f64 (/.f64 y (+.f64 z 1)))
11.5b	(cbrt.f64 (/.f64 y (+.f64 z 1)))

rewrite1.1s (6.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

636×	`times-frac_binary64_13042`
383×	`*-un-lft-identity_binary64_13036`
293×	`add-cube-cbrt_binary64_13071` `add-sqr-sqrt_binary64_13058`
270×	`cbrt-prod_binary64_13067`
68×	`associate-/r*_binary64_12980`
45×	`distribute-lft-out_binary64_12987`
35×	`associate-/r/_binary64_12982`
20×	`div-inv_binary64_13033`
15×	`flip3-+_binary64_13039` `flip-+_binary64_13010`
9×	`add-exp-log_binary64_13074`
8×	`add-cbrt-cube_binary64_13072`
7×	`cbrt-div_binary64_13068`
4×	`pow1_binary64_13097` `add-log-exp_binary64_13075`
3×	`pow1/3_binary64_13118` `div-exp_binary64_13087` `cbrt-undiv_binary64_13070` `associate-/l*_binary64_12981`
1×	`frac-2neg_binary64_13047` `clear-num_binary64_13035`

Counts

4 → 371

Calls

4 calls:

25.0ms	(/.f64 x (/.f64 z (cbrt.f64 (/.f64 y (+.f64 z 1)))))
5.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))
5.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))
5.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))

Compiler

Compiled 15145 to 9366 computations (38.2% saved)

series1.6s (8.9%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

615.0ms	(/.f64 x (/.f64 z (cbrt.f64 (/.f64 y (+.f64 z 1)))))
307.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))
305.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))
300.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))

Compiler

Compiled 5081 to 3908 computations (23.1% saved)

simplify473.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

573×	`associate-/r/_binary64_12982`
489×	`associate-/l/_binary64_12983`
422×	`associate-*l/_binary64_12979`
407×	`*-commutative_binary64_12967`
249×	`associate-*r/_binary64_12978`
218×	`associate-/l*_binary64_12981`
191×	`associate-r_binary64_12976`
122×	`times-frac_binary64_13042`
99×	`associate-/r_binary64_12980` `associate-l*_binary64_12977`
82×	`sub-neg_binary64_13029`
45×	`neg-sub0_binary64_13031`
44×	`neg-mul-1_binary64_13032`
38×	`log-prod_binary64_13122` `+-commutative_binary64_12966`
34×	`cancel-sign-sub-inv_binary64_13002`
31×	`log-div_binary64_13123`
28×	`exp-prod_binary64_13088`
27×	`exp-sum_binary64_13082`
23×	`unsub-neg_binary64_13030`
16×	`remove-double-div_binary64_13012` `distribute-rgt-neg-in_binary64_12994` `associate--l+_binary64_12973`
15×	`unpow1/3_binary64_13103` `div-sub_binary64_13041`
14×	`distribute-lft-neg-in_binary64_12993`
13×	`exp-diff_binary64_13084` `sqr-pow_binary64_13008`
12×	`distribute-rgt-in_binary64_12986`
11×	`cube-prod_binary64_13064` `distribute-lft-in_binary64_12985`
9×	`associate--r+_binary64_12972`
8×	`log-pow_binary64_13125` `cube-div_binary64_13065` `/-rgt-identity_binary64_13027` `unswap-sqr_binary64_13004` `distribute-rgt-out_binary64_12989`
7×	`associate-+l+_binary64_12969`
6×	`log-rec_binary64_13124` `exp-neg_binary64_13083` `cube-unmult_binary64_13073` `distribute-neg-frac_binary64_13000` `associate-+l-_binary64_12971`
5×	`exp-to-pow_binary64_13098` `swap-sqr_binary64_13003` `distribute-neg-in_binary64_12997`
4×	`rem-sqrt-square_binary64_13049` `associate-+r-_binary64_12970`
3×	`distribute-rgt1-in_binary64_12992` `distribute-rgt-out--_binary64_12990` `associate--r-_binary64_12975`
2×	`*-rgt-identity_binary64_13026` `pow-sqr_binary64_13009` `distribute-neg-out_binary64_12998` `distribute-rgt-neg-out_binary64_12996` `distribute-lft-neg-out_binary64_12995` `associate--l-_binary64_12974`
1×	`unpow3_binary64_13102` `unpow2_binary64_13101` `unpow1/2_binary64_13100` `unpow1_binary64_13094` `1-exp_binary64_13080` `cube-mult_binary64_13066` `rem-3cbrt-lft_binary64_13061` `mul-1-neg_binary64_13028` `remove-double-neg_binary64_13024` `difference-of-sqr-1_binary64_13006` `associate-+r+_binary64_12968`
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` `pow-plus_binary64_13099` `pow-base-1_binary64_13096` `unpow0_binary64_13095` `unpow-1_binary64_13093` `exp-lft-cube_binary64_13092` `exp-lft-sqr_binary64_13091` `exp-cbrt_binary64_13090` `exp-sqrt_binary64_13089` `div-exp_binary64_13087` `rec-exp_binary64_13086` `prod-exp_binary64_13085` `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` `-lft-identity_binary64_13025` `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` `difference-of-sqr--1_binary64_13007` `difference-of-squares_binary64_13005` `cancel-sign-sub_binary64_13001` `distribute-frac-neg_binary64_12999` `distribute-lft1-in_binary64_12991` `distribute-lft-out--_binary64_12988` `distribute-lft-out_binary64_12987` `count-2_binary64_12984`

Counts

422 → 405

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	656	12979
1	1416	12277
2	4665	12159
3	4977	12159
4	5000	12099
5	4985	12099

prune1.3s (7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	403	2	405
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	404	10	414

Error

Counts

414 → 10

Compiler

Compiled 15620 to 9520 computations (39.1% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.5b	(/.f64 (cbrt.f64 x) (/.f64 z (cbrt.f64 (/.f64 y (+.f64 1 z)))))
11.5b	(cbrt.f64 (/.f64 y (+.f64 1 z)))
11.5b	(cbrt.f64 (/.f64 y (+.f64 z 1)))
11.5b	(cbrt.f64 (/.f64 y (+.f64 z 1)))

rewrite2.0s (11.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

1137×	`times-frac_binary64_13042`
653×	`*-un-lft-identity_binary64_13036`
639×	`cbrt-prod_binary64_13067`
509×	`add-cube-cbrt_binary64_13071` `add-sqr-sqrt_binary64_13058`
72×	`distribute-lft-out_binary64_12987`
68×	`associate-/r*_binary64_12980`
56×	`associate-/r/_binary64_12982`
32×	`div-inv_binary64_13033`
24×	`flip3-+_binary64_13039` `flip-+_binary64_13010`
10×	`cbrt-div_binary64_13068`
9×	`add-exp-log_binary64_13074`
6×	`add-cbrt-cube_binary64_13072` `associate-/l*_binary64_12981`
4×	`pow1_binary64_13097` `add-log-exp_binary64_13075`
3×	`pow1/3_binary64_13118` `div-exp_binary64_13087` `cbrt-undiv_binary64_13070`
1×	`frac-2neg_binary64_13047` `clear-num_binary64_13035`

Counts

4 → 578

Calls

4 calls:

26.0ms	(/.f64 (cbrt.f64 x) (/.f64 z (cbrt.f64 (/.f64 y (+.f64 1 z)))))
6.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))
5.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))
5.0ms	(cbrt.f64 (/.f64 y (+.f64 1 z)))

Compiler

Compiled 28717 to 15458 computations (46.2% saved)

series1.6s (8.9%)

Error

Counts

4 → 51

Calls

4 calls:

613.0ms	(/.f64 (cbrt.f64 x) (/.f64 z (cbrt.f64 (/.f64 y (+.f64 1 z)))))
311.0ms	(cbrt.f64 (/.f64 y (+.f64 1 z)))
301.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))
294.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))

Compiler

Compiled 5904 to 4143 computations (29.8% saved)

simplify551.0ms (3%)

Algorithm

1×	egg-herbie

Rules

821×	`associate-/r/_binary64_12982`
743×	`associate-/l/_binary64_12983`
610×	`associate-*l/_binary64_12979`
239×	`associate-/l*_binary64_12981`
108×	`associate-/r*_binary64_12980`
78×	`times-frac_binary64_13042`
63×	`exp-sum_binary64_13082`
48×	`sub-neg_binary64_13029`
45×	`exp-prod_binary64_13088`
38×	`*-commutative_binary64_12967`
31×	`cancel-sign-sub-inv_binary64_13002`
27×	`distribute-rgt-in_binary64_12986`
24×	`neg-sub0_binary64_13031` `distribute-lft-in_binary64_12985`
22×	`neg-mul-1_binary64_13032` `sqr-pow_binary64_13008`
20×	`log-div_binary64_13123`
19×	`log-prod_binary64_13122`
18×	`+-commutative_binary64_12966`
16×	`remove-double-div_binary64_13012` `distribute-rgt-neg-in_binary64_12994`
12×	`unpow1/3_binary64_13103` `distribute-lft-neg-in_binary64_12993`
11×	`/-rgt-identity_binary64_13027` `associate-*r/_binary64_12978`
10×	`exp-to-pow_binary64_13098` `div-sub_binary64_13041`
9×	`exp-diff_binary64_13084`
8×	`unswap-sqr_binary64_13004`
7×	`distribute-neg-in_binary64_12997` `associate--l+_binary64_12973`
6×	`exp-neg_binary64_13083` `cube-div_binary64_13065` `distribute-rgt-out_binary64_12989` `associate-r_binary64_12976`
5×	`log-rec_binary64_13124` `unsub-neg_binary64_13030` `swap-sqr_binary64_13003` `distribute-neg-frac_binary64_13000`
4×	`cube-prod_binary64_13064` `associate-l_binary64_12977`
3×	`cube-unmult_binary64_13073` `mul-1-neg_binary64_13028` `*-rgt-identity_binary64_13026` `distribute-lft-neg-out_binary64_12995` `distribute-rgt1-in_binary64_12992` `distribute-rgt-out--_binary64_12990` `associate--r+_binary64_12972`
2×	`log-pow_binary64_13125` `rem-3cbrt-lft_binary64_13061` `remove-double-neg_binary64_13024` `distribute-neg-out_binary64_12998` `distribute-rgt-neg-out_binary64_12996` `associate-+r-_binary64_12970`
1×	`unpow3_binary64_13102` `unpow2_binary64_13101` `unpow1/2_binary64_13100` `unpow1_binary64_13094` `1-exp_binary64_13080` `rem-exp-log_binary64_13076` `cube-mult_binary64_13066` `rem-sqrt-square_binary64_13049` `*-lft-identity_binary64_13025` `pow-sqr_binary64_13009` `difference-of-sqr-1_binary64_13006` `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` `pow-plus_binary64_13099` `pow-base-1_binary64_13096` `unpow0_binary64_13095` `unpow-1_binary64_13093` `exp-lft-cube_binary64_13092` `exp-lft-sqr_binary64_13091` `exp-cbrt_binary64_13090` `exp-sqrt_binary64_13089` `div-exp_binary64_13087` `rec-exp_binary64_13086` `prod-exp_binary64_13085` `e-exp-1_binary64_13081` `exp-1-e_binary64_13079` `exp-0_binary64_13078` `rem-log-exp_binary64_13077` `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` `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` `difference-of-sqr--1_binary64_13007` `difference-of-squares_binary64_13005` `cancel-sign-sub_binary64_13001` `distribute-frac-neg_binary64_12999` `distribute-lft1-in_binary64_12991` `distribute-lft-out--_binary64_12988` `distribute-lft-out_binary64_12987` `count-2_binary64_12984` `associate--l-_binary64_12974` `associate-+l-_binary64_12971` `associate-+l+_binary64_12969` `associate-+r+_binary64_12968`

Counts

629 → 516

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	960	23339
1	2106	22601
2	4828	22421
3	4969	22421

prune1.6s (8.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	516	0	516
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	516	10	526

Error

Counts

526 → 10

Compiler

Compiled 23991 to 12535 computations (47.8% saved)

regimes1.7s (9.3%)

Accuracy

Total 1.1b remaining (99.7%)

Threshold costs 0b (0%)

Compiler

Compiled 19911 to 14626 computations (26.5% saved)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1× 1-exp_binary64_13080 *-commutative_binary64_12967 +-commutative_binary64_12966

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_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-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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	42
1	20	42
2	19	42

Compiler

Compiled 54 to 42 computations (22.2% saved)

end0.0ms (0%)

sample3.4s (18.4%)

Algorithm

1×

intervals

Results

294.0ms	8000×	body	128	valid
53.0ms	1560×	body	128	invalid

Compiler

Compiled 3217 to 2366 computations (26.5% saved)

Details

analyze787.0ms (4.3%)

sample29.0ms (0.2%)

simplify89.0ms (0.5%)

prune2.0ms (0%)

localize11.0ms (0.1%)

rewrite88.0ms (0.5%)

series406.0ms (2.2%)

simplify96.0ms (0.5%)

prune68.0ms (0.4%)

localize7.0ms (0%)

rewrite318.0ms (1.7%)

series610.0ms (3.3%)

simplify194.0ms (1.1%)

prune205.0ms (1.1%)

localize11.0ms (0.1%)

rewrite1.1s (6.2%)

series1.6s (8.9%)

simplify473.0ms (2.6%)

prune1.3s (7%)

localize22.0ms (0.1%)

rewrite2.0s (11.1%)

series1.6s (8.9%)

simplify551.0ms (3%)

prune1.6s (8.5%)

regimes1.7s (9.3%)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

end0.0ms (0%)

sample3.4s (18.4%)

Profiling