Details

analyze5.4s (6.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

864×	`sub-neg_binary64_13029` `cancel-sign-sub-inv_binary64_13002`
241×	`associate-+l-_binary64_12971`
121×	`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` `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` `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_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-/r_binary64_12980` `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--r+_binary64_12972` `associate-+r-_binary64_12970` `associate-+l+_binary64_12969` `associate-+r+_binary64_12968` `-commutative_binary64_12967` `+-commutative_binary64_12966`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2029	17182
1	5274	17182
0	16	16
1	16	16

Search

True	Other	False	Iter
0%	99.2%	0.8%	0
0%	99.2%	0.8%	1
0%	99.2%	0.8%	2
0%	99.2%	0.8%	3
0%	99.2%	0.8%	4
0%	99.2%	0.8%	5
0%	99.2%	0.8%	6
0%	99.2%	0.8%	7
0%	99.2%	0.8%	8
0%	99.2%	0.8%	9
0%	99.2%	0.8%	10
0%	99.2%	0.8%	11
0%	99.2%	0.8%	12
0%	99.2%	0.8%	13
0%	99.2%	0.8%	14

Compiler

Compiled 96 to 64 computations (33.3% saved)

sample712.0ms (0.8%)

Algorithm

1×

intervals

Results

422.0ms	2109×	body	128	invalid
51.0ms	256×	body	128	valid

Compiler

Compiled 191 to 143 computations (25.1% saved)

simplify47.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

565×	`distribute-rgt-in_binary64_12986`
529×	`distribute-lft-in_binary64_12985`
513×	`cancel-sign-sub-inv_binary64_13002`
453×	`neg-sub0_binary64_13031`
437×	`neg-mul-1_binary64_13032`
217×	`distribute-rgt-neg-in_binary64_12994`
210×	`sub-neg_binary64_13029`
189×	`distribute-neg-in_binary64_12997`
170×	`distribute-lft-neg-out_binary64_12995`
161×	`distribute-lft-neg-in_binary64_12993`
160×	`distribute-rgt-neg-out_binary64_12996`
150×	`unsub-neg_binary64_13030`
139×	`associate-+l+_binary64_12969`
116×	`associate-r_binary64_12976`
109×	`associate-+r+_binary64_12968`
102×	`associate-l_binary64_12977`
80×	`*-commutative_binary64_12967`
66×	`associate--l+_binary64_12973`
58×	`associate--r+_binary64_12972`
48×	`+-commutative_binary64_12966`
39×	`associate-+l-_binary64_12971`
36×	`associate-+r-_binary64_12970`
30×	`remove-double-neg_binary64_13024`
27×	`cancel-sign-sub_binary64_13001`
22×	`distribute-neg-out_binary64_12998`
19×	`+-rgt-identity_binary64_13021`
14×	`sub0-neg_binary64_13023`
11×	`distribute-lft-out_binary64_12987` `associate--l-_binary64_12974`
5×	`distribute-rgt-out_binary64_12989` `associate--r-_binary64_12975`
1×	`1-exp_binary64_13080`
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` `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` `mul-1-neg_binary64_13028` `/-rgt-identity_binary64_13027` `-rgt-identity_binary64_13026` `-lft-identity_binary64_13025` `--rgt-identity_binary64_13022` `+-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` `distribute-neg-frac_binary64_13000` `distribute-frac-neg_binary64_12999` `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-/l/_binary64_12983` `associate-/r/_binary64_12982` `associate-/l_binary64_12981` `associate-/r_binary64_12980` `associate-l/_binary64_12979` `associate-*r/_binary64_12978`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	142
1	169	142
2	425	142
3	1945	142
4	4605	142
5	5169	142

prune7.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

29.1b

Counts

2 → 1

Compiler

Compiled 190 to 126 computations (33.7% saved)

localize66.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.3b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
8.7b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
9.3b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
10.8b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))

rewrite460.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

29.0b

Rules

24×	`flip3--_binary64_13040` `flip--_binary64_13011`
20×	`add-sqr-sqrt_binary64_13058`
16×	`frac-times_binary64_13046`
12×	`pow1_binary64_13097` `add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072` `add-cube-cbrt_binary64_13071` `-un-lft-identity_binary64_13036` `associate-l_binary64_12977` `associate-r*_binary64_12976`
8×	`sub-neg_binary64_13029` `distribute-rgt-in_binary64_12986` `cancel-sign-sub-inv_binary64_13002` `distribute-lft-in_binary64_12985` `associate-l/_binary64_12979` `associate-r/_binary64_12978`
4×	`pow-prod-down_binary64_13107` `prod-exp_binary64_13085` `add-log-exp_binary64_13075` `cbrt-unprod_binary64_13069` `unswap-sqr_binary64_13004` `*-commutative_binary64_12967`

Counts

4 → 120

Calls

4 calls:

16.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
11.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
11.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
11.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

Compiler

Compiled 13456 to 898 computations (93.3% saved)

series5.8s (6.9%)

Error

15.0b

Counts

4 → 192

Calls

4 calls:

1.3s	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
1.3s	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
1.3s	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
1.3s	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

Compiler

Compiled 49632 to 20149 computations (59.4% saved)

simplify232.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

776×	`associate-l_binary64_12977`
355×	`distribute-rgt-in_binary64_12986`
351×	`distribute-lft-in_binary64_12985`
260×	`*-commutative_binary64_12967`
194×	`cancel-sign-sub-inv_binary64_13002`
145×	`associate-r_binary64_12976`
119×	`sub-neg_binary64_13029`
102×	`distribute-rgt-neg-in_binary64_12994`
80×	`distribute-lft-neg-in_binary64_12993`
64×	`neg-sub0_binary64_13031`
60×	`exp-prod_binary64_13088`
57×	`+-commutative_binary64_12966`
56×	`neg-mul-1_binary64_13032`
52×	`sqr-pow_binary64_13008`
48×	`swap-sqr_binary64_13003`
36×	`exp-sum_binary64_13082`
32×	`unpow3_binary64_13102` `cube-mult_binary64_13066` `cube-prod_binary64_13064` `distribute-neg-in_binary64_12997` `distribute-lft-neg-out_binary64_12995`
29×	`associate--l+_binary64_12973` `associate--r+_binary64_12972`
24×	`distribute-rgt-out_binary64_12989`
20×	`log-prod_binary64_13122`
16×	`difference-of-squares_binary64_13005`
12×	`exp-diff_binary64_13084` `cube-unmult_binary64_13073`
10×	`mul-1-neg_binary64_13028`
8×	`distribute-rgt-neg-out_binary64_12996` `associate-+r+_binary64_12968`
4×	`*-rgt-identity_binary64_13026`
1×	`1-exp_binary64_13080`
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` `pow-base-0_binary64_13120` `unpow1/3_binary64_13103` `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` `div-exp_binary64_13087` `rec-exp_binary64_13086` `prod-exp_binary64_13085` `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-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-sqrt-square_binary64_13049` `rem-square-sqrt_binary64_13048` `times-frac_binary64_13042` `div-sub_binary64_13041` `unsub-neg_binary64_13030` `/-rgt-identity_binary64_13027` `-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` `difference-of-sqr--1_binary64_13007` `difference-of-sqr-1_binary64_13006` `unswap-sqr_binary64_13004` `cancel-sign-sub_binary64_13001` `distribute-neg-frac_binary64_13000` `distribute-frac-neg_binary64_12999` `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` `distribute-lft-out_binary64_12987` `count-2_binary64_12984` `associate-/l/_binary64_12983` `associate-/r/_binary64_12982` `associate-/l_binary64_12981` `associate-/r_binary64_12980` `associate-l/_binary64_12979` `associate-r/_binary64_12978` `associate--r-_binary64_12975` `associate--l-_binary64_12974` `associate-+l-_binary64_12971` `associate-+r-_binary64_12970` `associate-+l+_binary64_12969`

Counts

312 → 300

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	522	10568
1	1537	10220
2	4905	10220
3	5029	10220

prune865.0ms (1%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	276	24	300
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	277	24	301

Error

16.6b

Counts

301 → 24

Compiler

Compiled 33895 to 2511 computations (92.6% saved)

localize72.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.3b	(.f64 (-.f64 (.f64 y1 y4) (.f64 y0 y5)) (-.f64 (.f64 k y2) (*.f64 j y3)))
8.7b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
9.3b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
10.8b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))

rewrite465.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

16.6b

Rules

24×	`flip3--_binary64_13040` `flip--_binary64_13011`
20×	`add-sqr-sqrt_binary64_13058`
16×	`frac-times_binary64_13046`
12×	`pow1_binary64_13097` `add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072` `add-cube-cbrt_binary64_13071` `-un-lft-identity_binary64_13036` `associate-l_binary64_12977` `associate-r*_binary64_12976`
8×	`sub-neg_binary64_13029` `distribute-rgt-in_binary64_12986` `cancel-sign-sub-inv_binary64_13002` `distribute-lft-in_binary64_12985` `associate-l/_binary64_12979` `associate-r/_binary64_12978`
4×	`pow-prod-down_binary64_13107` `prod-exp_binary64_13085` `add-log-exp_binary64_13075` `cbrt-unprod_binary64_13069` `unswap-sqr_binary64_13004` `*-commutative_binary64_12967`

Counts

4 → 120

Calls

4 calls:

11.0ms	(.f64 (-.f64 (.f64 y1 y4) (.f64 y0 y5)) (-.f64 (.f64 k y2) (*.f64 j y3)))
11.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
10.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
10.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

Compiler

Compiled 17656 to 959 computations (94.6% saved)

series6.0s (7.1%)

Error

15.4b

Counts

4 → 192

Calls

4 calls:

1.4s	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
1.4s	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
1.4s	(.f64 (-.f64 (.f64 y1 y4) (.f64 y0 y5)) (-.f64 (.f64 k y2) (*.f64 j y3)))
1.3s	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

Compiler

Compiled 66432 to 21581 computations (67.5% saved)

simplify238.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

774×	`associate-l_binary64_12977`
355×	`distribute-rgt-in_binary64_12986`
351×	`distribute-lft-in_binary64_12985`
257×	`*-commutative_binary64_12967`
195×	`cancel-sign-sub-inv_binary64_13002`
145×	`associate-r_binary64_12976`
118×	`sub-neg_binary64_13029`
100×	`distribute-rgt-neg-in_binary64_12994`
79×	`distribute-lft-neg-in_binary64_12993`
62×	`neg-sub0_binary64_13031`
60×	`exp-prod_binary64_13088`
57×	`+-commutative_binary64_12966`
54×	`neg-mul-1_binary64_13032`
52×	`sqr-pow_binary64_13008`
48×	`swap-sqr_binary64_13003`
35×	`exp-sum_binary64_13082`
32×	`unpow3_binary64_13102` `cube-mult_binary64_13066` `cube-prod_binary64_13064` `distribute-neg-in_binary64_12997`
31×	`distribute-lft-neg-out_binary64_12995`
28×	`associate--l+_binary64_12973` `associate--r+_binary64_12972`
24×	`distribute-rgt-out_binary64_12989`
20×	`log-prod_binary64_13122`
16×	`difference-of-squares_binary64_13005`
12×	`exp-diff_binary64_13084` `cube-unmult_binary64_13073`
10×	`mul-1-neg_binary64_13028`
8×	`distribute-rgt-neg-out_binary64_12996` `associate-+r+_binary64_12968`
4×	`*-rgt-identity_binary64_13026`
1×	`1-exp_binary64_13080`
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` `pow-base-0_binary64_13120` `unpow1/3_binary64_13103` `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` `div-exp_binary64_13087` `rec-exp_binary64_13086` `prod-exp_binary64_13085` `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-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-sqrt-square_binary64_13049` `rem-square-sqrt_binary64_13048` `times-frac_binary64_13042` `div-sub_binary64_13041` `unsub-neg_binary64_13030` `/-rgt-identity_binary64_13027` `-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` `difference-of-sqr--1_binary64_13007` `difference-of-sqr-1_binary64_13006` `unswap-sqr_binary64_13004` `cancel-sign-sub_binary64_13001` `distribute-neg-frac_binary64_13000` `distribute-frac-neg_binary64_12999` `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` `distribute-lft-out_binary64_12987` `count-2_binary64_12984` `associate-/l/_binary64_12983` `associate-/r/_binary64_12982` `associate-/l_binary64_12981` `associate-/r_binary64_12980` `associate-l/_binary64_12979` `associate-r/_binary64_12978` `associate--r-_binary64_12975` `associate--l-_binary64_12974` `associate-+l-_binary64_12971` `associate-+r-_binary64_12970` `associate-+l+_binary64_12969`

Counts

312 → 295

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	521	10568
1	1532	10220
2	4902	10220
3	5036	10220

prune966.0ms (1.1%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	295	0	295
Fresh	0	23	23
Picked	0	1	1
Done	0	0	0
Total	295	24	319

Error

16.6b

Counts

319 → 24

Compiler

Compiled 43522 to 2457 computations (94.4% saved)

localize75.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.3b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
8.3b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
8.7b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
9.3b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

rewrite449.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

16.5b

Rules

24×	`flip3--_binary64_13040` `flip--_binary64_13011`
20×	`add-sqr-sqrt_binary64_13058`
16×	`frac-times_binary64_13046`
12×	`pow1_binary64_13097` `add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072` `add-cube-cbrt_binary64_13071` `-un-lft-identity_binary64_13036` `associate-l_binary64_12977` `associate-r*_binary64_12976`
8×	`sub-neg_binary64_13029` `distribute-rgt-in_binary64_12986` `cancel-sign-sub-inv_binary64_13002` `distribute-lft-in_binary64_12985` `associate-l/_binary64_12979` `associate-r/_binary64_12978`
4×	`pow-prod-down_binary64_13107` `prod-exp_binary64_13085` `add-log-exp_binary64_13075` `cbrt-unprod_binary64_13069` `unswap-sqr_binary64_13004` `*-commutative_binary64_12967`

Counts

4 → 120

Calls

4 calls:

16.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
11.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
11.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
11.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

Compiler

Compiled 15736 to 904 computations (94.3% saved)

series6.0s (7.1%)

Error

10.7b

Counts

4 → 192

Calls

4 calls:

1.4s	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
1.4s	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
1.4s	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
1.3s	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

Compiler

Compiled 58752 to 21882 computations (62.8% saved)

simplify237.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

774×	`associate-l_binary64_12977`
355×	`distribute-rgt-in_binary64_12986`
351×	`distribute-lft-in_binary64_12985`
258×	`*-commutative_binary64_12967`
192×	`cancel-sign-sub-inv_binary64_13002`
143×	`associate-r_binary64_12976`
120×	`sub-neg_binary64_13029`
102×	`distribute-rgt-neg-in_binary64_12994`
80×	`distribute-lft-neg-in_binary64_12993`
64×	`neg-sub0_binary64_13031`
60×	`exp-prod_binary64_13088`
56×	`neg-mul-1_binary64_13032` `+-commutative_binary64_12966`
52×	`sqr-pow_binary64_13008`
48×	`swap-sqr_binary64_13003`
36×	`exp-sum_binary64_13082`
32×	`unpow3_binary64_13102` `cube-mult_binary64_13066` `cube-prod_binary64_13064` `distribute-lft-neg-out_binary64_12995`
30×	`distribute-neg-in_binary64_12997`
29×	`associate--l+_binary64_12973` `associate--r+_binary64_12972`
24×	`distribute-rgt-out_binary64_12989`
20×	`log-prod_binary64_13122`
16×	`difference-of-squares_binary64_13005`
12×	`exp-diff_binary64_13084` `cube-unmult_binary64_13073`
10×	`mul-1-neg_binary64_13028`
8×	`distribute-rgt-neg-out_binary64_12996` `associate-+r+_binary64_12968`
4×	`*-rgt-identity_binary64_13026`
1×	`1-exp_binary64_13080`
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` `pow-base-0_binary64_13120` `unpow1/3_binary64_13103` `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` `div-exp_binary64_13087` `rec-exp_binary64_13086` `prod-exp_binary64_13085` `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-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-sqrt-square_binary64_13049` `rem-square-sqrt_binary64_13048` `times-frac_binary64_13042` `div-sub_binary64_13041` `unsub-neg_binary64_13030` `/-rgt-identity_binary64_13027` `-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` `difference-of-sqr--1_binary64_13007` `difference-of-sqr-1_binary64_13006` `unswap-sqr_binary64_13004` `cancel-sign-sub_binary64_13001` `distribute-neg-frac_binary64_13000` `distribute-frac-neg_binary64_12999` `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` `distribute-lft-out_binary64_12987` `count-2_binary64_12984` `associate-/l/_binary64_12983` `associate-/r/_binary64_12982` `associate-/l_binary64_12981` `associate-/r_binary64_12980` `associate-l/_binary64_12979` `associate-r/_binary64_12978` `associate--r-_binary64_12975` `associate--l-_binary64_12974` `associate-+l-_binary64_12971` `associate-+r-_binary64_12970` `associate-+l+_binary64_12969`

Counts

312 → 295

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	521	10568
1	1536	10220
2	4911	10220
3	5036	10220

prune901.0ms (1.1%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	291	4	295
Fresh	1	21	22
Picked	1	0	1
Done	0	1	1
Total	293	26	319

Error

11.8b

Counts

319 → 26

Compiler

Compiled 39097 to 2558 computations (93.5% saved)

localize75.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.3b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
8.7b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
9.3b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
10.8b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))

rewrite449.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

11.8b

Rules

24×	`flip3--_binary64_13040` `flip--_binary64_13011`
20×	`add-sqr-sqrt_binary64_13058`
16×	`frac-times_binary64_13046`
12×	`pow1_binary64_13097` `add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072` `add-cube-cbrt_binary64_13071` `-un-lft-identity_binary64_13036` `associate-l_binary64_12977` `associate-r*_binary64_12976`
8×	`sub-neg_binary64_13029` `distribute-rgt-in_binary64_12986` `cancel-sign-sub-inv_binary64_13002` `distribute-lft-in_binary64_12985` `associate-l/_binary64_12979` `associate-r/_binary64_12978`
4×	`pow-prod-down_binary64_13107` `prod-exp_binary64_13085` `add-log-exp_binary64_13075` `cbrt-unprod_binary64_13069` `unswap-sqr_binary64_13004` `*-commutative_binary64_12967`

Counts

4 → 120

Calls

4 calls:

12.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
11.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
11.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
11.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

Compiler

Compiled 15736 to 1021 computations (93.5% saved)

series5.8s (6.9%)

Error

10.6b

Counts

4 → 192

Calls

4 calls:

1.4s	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
1.3s	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
1.3s	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
1.3s	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))

Compiler

Compiled 58752 to 21088 computations (64.1% saved)

simplify238.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

772×	`associate-l_binary64_12977`
356×	`distribute-rgt-in_binary64_12986`
352×	`distribute-lft-in_binary64_12985`
255×	`*-commutative_binary64_12967`
197×	`cancel-sign-sub-inv_binary64_13002`
140×	`associate-r_binary64_12976`
116×	`sub-neg_binary64_13029`
102×	`distribute-rgt-neg-in_binary64_12994`
81×	`distribute-lft-neg-in_binary64_12993`
62×	`neg-sub0_binary64_13031`
60×	`exp-prod_binary64_13088`
55×	`+-commutative_binary64_12966`
54×	`neg-mul-1_binary64_13032`
52×	`sqr-pow_binary64_13008`
48×	`swap-sqr_binary64_13003`
36×	`exp-sum_binary64_13082`
32×	`unpow3_binary64_13102` `cube-mult_binary64_13066` `cube-prod_binary64_13064` `distribute-lft-neg-out_binary64_12995`
28×	`distribute-neg-in_binary64_12997`
27×	`associate--l+_binary64_12973` `associate--r+_binary64_12972`
24×	`distribute-rgt-out_binary64_12989`
20×	`log-prod_binary64_13122`
16×	`difference-of-squares_binary64_13005`
12×	`exp-diff_binary64_13084` `cube-unmult_binary64_13073`
9×	`mul-1-neg_binary64_13028`
8×	`distribute-rgt-neg-out_binary64_12996` `associate-+r+_binary64_12968`
4×	`*-rgt-identity_binary64_13026`
1×	`1-exp_binary64_13080`
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` `pow-base-0_binary64_13120` `unpow1/3_binary64_13103` `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` `div-exp_binary64_13087` `rec-exp_binary64_13086` `prod-exp_binary64_13085` `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-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-sqrt-square_binary64_13049` `rem-square-sqrt_binary64_13048` `times-frac_binary64_13042` `div-sub_binary64_13041` `unsub-neg_binary64_13030` `/-rgt-identity_binary64_13027` `-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` `difference-of-sqr--1_binary64_13007` `difference-of-sqr-1_binary64_13006` `unswap-sqr_binary64_13004` `cancel-sign-sub_binary64_13001` `distribute-neg-frac_binary64_13000` `distribute-frac-neg_binary64_12999` `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` `distribute-lft-out_binary64_12987` `count-2_binary64_12984` `associate-/l/_binary64_12983` `associate-/r/_binary64_12982` `associate-/l_binary64_12981` `associate-/r_binary64_12980` `associate-l/_binary64_12979` `associate-r/_binary64_12978` `associate--r-_binary64_12975` `associate--l-_binary64_12974` `associate-+l-_binary64_12971` `associate-+r-_binary64_12970` `associate-+l+_binary64_12969`

Counts

312 → 300

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	515	10568
1	1531	10220
2	4895	10220
3	5025	10220

prune820.0ms (1%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	296	4	300
Fresh	2	22	24
Picked	1	0	1
Done	0	1	1
Total	299	27	326

Error

11.8b

Counts

326 → 27

Compiler

Compiled 37132 to 1060 computations (97.1% saved)

regimes17.9s (21.2%)

Accuracy

Total 16.8b remaining (56.9%)

Threshold costs 0b (0%)

Compiler

Compiled 282082 to 169516 computations (39.9% saved)

bsearch2.7s (3.3%)

Steps

Iters	Range		Point
7	1.0245904717262444e+86	1.3360135341755951e+88	1.6595346532940516e+86
8	20766829525786.49	30801883869098132.0	4945247999238131.0
9	3.6155000630756534e-187	8.571767546364999e-182	4.4725160392456316e-186
8	1.6415727412561204e-267	2.354983630210819e-264	2.0866800573532735e-265
5	-1.1917234488535831e-273	-5.074228672797732e-274	-5.504360405116808e-274
7	-8.1022278849935595e-230	-1.39017801234989e-231	-9.354360261569459e-231
11	-2.8300225776843847e+32	-744736096206.6263	-1.4088889750241815e+21

Compiler

Compiled 1 to 16 computations (-1500% saved)

simplify292.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

922×	`unsub-neg_binary64_13030`
752×	`neg-mul-1_binary64_13032` `neg-sub0_binary64_13031`
680×	`distribute-rgt-neg-out_binary64_12996`
646×	`distribute-neg-out_binary64_12998`
641×	`distribute-rgt-neg-in_binary64_12994`
510×	`distribute-lft-neg-out_binary64_12995`
399×	`distribute-lft-neg-in_binary64_12993`
309×	`remove-double-neg_binary64_13024`
271×	`sub-neg_binary64_13029`
250×	`*-commutative_binary64_12967`
211×	`+-commutative_binary64_12966`
173×	`distribute-neg-in_binary64_12997`
142×	`cancel-sign-sub-inv_binary64_13002`
3×	`sqr-neg_binary64_13050`
1×	`--rgt-identity_binary64_13022` `cancel-sign-sub_binary64_13001`
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` `1-exp_binary64_13080` `exp-1-e_binary64_13079` `exp-0_binary64_13078` `sqr-abs_binary64_13051` `mul-1-neg_binary64_13028` `/-rgt-identity_binary64_13027` `-rgt-identity_binary64_13026` `-lft-identity_binary64_13025` `sub0-neg_binary64_13023` `+-rgt-identity_binary64_13021` `+-lft-identity_binary64_13020` `distribute-neg-frac_binary64_13000` `distribute-frac-neg_binary64_12999`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	186	1312
1	401	1310
2	576	1310
3	826	1310
4	1111	1310
5	1534	1310
6	2427	1310
7	2237	1310
8	2299	1310
9	2335	1310
10	2354	1310
11	2354	1310
12	2649	1310
13	2784	1310
14	2911	1310
15	3054	1310
16	3206	1310
17	3352	1310
18	3494	1310
19	3615	1310
20	3714	1310
21	3785	1310
22	3823	1310
23	3836	1310
24	3838	1310
25	3838	1310
26	3838	1310

end0.0ms (0%)

sample27.1s (32.1%)

Algorithm

1×

intervals

Results

12.5s	63328×	body	128	invalid
1.6s	8000×	body	128	valid

Compiler

Compiled 18257 to 10371 computations (43.2% saved)

Details

analyze5.4s (6.4%)

sample712.0ms (0.8%)

simplify47.0ms (0.1%)

prune7.0ms (0%)

localize66.0ms (0.1%)

rewrite460.0ms (0.5%)

series5.8s (6.9%)

simplify232.0ms (0.3%)

prune865.0ms (1%)

localize72.0ms (0.1%)

rewrite465.0ms (0.6%)

series6.0s (7.1%)

simplify238.0ms (0.3%)

prune966.0ms (1.1%)

localize75.0ms (0.1%)

rewrite449.0ms (0.5%)

series6.0s (7.1%)

simplify237.0ms (0.3%)

prune901.0ms (1.1%)

localize75.0ms (0.1%)

rewrite449.0ms (0.5%)

series5.8s (6.9%)

simplify238.0ms (0.3%)

prune820.0ms (1%)

regimes17.9s (21.2%)

bsearch2.7s (3.3%)

simplify292.0ms (0.3%)

end0.0ms (0%)

sample27.1s (32.1%)

Profiling