Details

analyze1.1s (13.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

969×	`div-sub_binary64_10995`
897×	`unsub-neg_binary64_10984`
754×	`sub-neg_binary64_10983`
627×	`neg-mul-1_binary64_10986`
593×	`distribute-rgt-in_binary64_10940`
538×	`neg-sub0_binary64_10985`
522×	`associate-/l*_binary64_10935`
391×	`distribute-rgt-neg-in_binary64_10948` `associate-/r*_binary64_10934`
345×	`distribute-lft-neg-in_binary64_10947`
336×	`cancel-sign-sub-inv_binary64_10956`
329×	`distribute-frac-neg_binary64_10953`
304×	`distribute-neg-frac_binary64_10954`
260×	`*-commutative_binary64_10921`
256×	`distribute-rgt-neg-out_binary64_10950`
239×	`remove-double-neg_binary64_10978`
236×	`distribute-lft-in_binary64_10939`
207×	`distribute-lft-neg-out_binary64_10949`
197×	`associate-+l-_binary64_10925`
190×	`+-commutative_binary64_10920`
140×	`distribute-neg-in_binary64_10951`
123×	`associate--r+_binary64_10926`
95×	`distribute-neg-out_binary64_10952`
83×	`associate-+r+_binary64_10922`
75×	`div0_binary64_10971`
72×	`associate-/r/_binary64_10936`
67×	`mul0-rgt_binary64_10973` `associate-+l+_binary64_10923`
63×	`mul0-lft_binary64_10972`
62×	`/-rgt-identity_binary64_10981`
56×	`sub0-neg_binary64_10977` `distribute-rgt-out--_binary64_10944`
52×	`associate-+r-_binary64_10924`
49×	`associate--r-_binary64_10929`
45×	`*-lft-identity_binary64_10979`
38×	`distribute-rgt-out_binary64_10943` `associate-r_binary64_10930`
37×	`+-rgt-identity_binary64_10975`
35×	`associate-*l/_binary64_10933`
29×	`associate-*r/_binary64_10932`
28×	`associate-l_binary64_10931` `associate--l+_binary64_10927`
25×	`associate--l-_binary64_10928`
23×	`*-rgt-identity_binary64_10980`
19×	`+-lft-identity_binary64_10974`
18×	`distribute-rgt1-in_binary64_10946`
11×	`distribute-lft-out--_binary64_10942`
9×	`associate-/l/_binary64_10937`
8×	`distribute-lft1-in_binary64_10945`
7×	`mul-1-neg_binary64_10982`
6×	`distribute-lft-out_binary64_10941`
2×	`--rgt-identity_binary64_10976`
1×	`1-exp_binary64_11034`
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_11253` `erf-erfc_binary64_11252` `erf-odd_binary64_11251` `if-if-and-not_binary64_11250` `if-if-and_binary64_11249` `if-if-or-not_binary64_11248` `if-if-or_binary64_11247` `if-not_binary64_11246` `if-same_binary64_11245` `if-false_binary64_11244` `if-true_binary64_11243` `not-gte_binary64_11242` `not-lte_binary64_11241` `not-gt_binary64_11240` `not-lt_binary64_11239` `gte-same_binary64_11238` `lte-same_binary64_11237` `gt-same_binary64_11236` `lt-same_binary64_11235` `sinh---cosh_binary64_11182` `sinh-+-cosh_binary64_11181` `sinh-cosh_binary64_11180` `tanh-def-c_binary64_11179` `tanh-def-b_binary64_11178` `tanh-def-a_binary64_11177` `cosh-def_binary64_11176` `sinh-def_binary64_11175` `tan-neg_binary64_11122` `cos-neg_binary64_11121` `sin-neg_binary64_11120` `tan-0_binary64_11119` `cos-0_binary64_11118` `sin-0_binary64_11117` `hang-m-tan_binary64_11116` `hang-p-tan_binary64_11115` `hang-m0-tan_binary64_11114` `hang-p0-tan_binary64_11113` `hang-0m-tan_binary64_11112` `hang-0p-tan_binary64_11111` `tan-+PI/2_binary64_11110` `tan-+PI_binary64_11109` `tan-PI_binary64_11108` `tan-PI/3_binary64_11107` `tan-PI/4_binary64_11106` `tan-PI/6_binary64_11105` `cos-+PI/2_binary64_11104` `cos-+PI_binary64_11103` `cos-PI_binary64_11102` `cos-PI/2_binary64_11101` `cos-PI/3_binary64_11100` `cos-PI/4_binary64_11099` `cos-PI/6_binary64_11098` `sin-+PI/2_binary64_11097` `sin-+PI_binary64_11096` `sin-PI_binary64_11095` `sin-PI/2_binary64_11094` `sin-PI/3_binary64_11093` `sin-PI/4_binary64_11092` `sin-PI/6_binary64_11091` `sub-1-sin_binary64_11090` `sub-1-cos_binary64_11089` `-1-add-sin_binary64_11088` `-1-add-cos_binary64_11087` `1-sub-sin_binary64_11086` `1-sub-cos_binary64_11085` `cos-sin-sum_binary64_11084` `log-E_binary64_11080` `log-pow_binary64_11079` `log-rec_binary64_11078` `log-div_binary64_11077` `log-prod_binary64_11076` `pow-base-0_binary64_11074` `unpow1/3_binary64_11057` `unpow3_binary64_11056` `unpow2_binary64_11055` `unpow1/2_binary64_11054` `pow-plus_binary64_11053` `exp-to-pow_binary64_11052` `pow-base-1_binary64_11050` `unpow0_binary64_11049` `unpow1_binary64_11048` `unpow-1_binary64_11047` `exp-lft-cube_binary64_11046` `exp-lft-sqr_binary64_11045` `exp-cbrt_binary64_11044` `exp-sqrt_binary64_11043` `exp-prod_binary64_11042` `div-exp_binary64_11041` `rec-exp_binary64_11040` `prod-exp_binary64_11039` `exp-diff_binary64_11038` `exp-neg_binary64_11037` `exp-sum_binary64_11036` `e-exp-1_binary64_11035` `exp-1-e_binary64_11033` `exp-0_binary64_11032` `rem-log-exp_binary64_11031` `rem-exp-log_binary64_11030` `cube-unmult_binary64_11027` `cube-mult_binary64_11020` `cube-div_binary64_11019` `cube-prod_binary64_11018` `cube-neg_binary64_11017` `rem-3cbrt-rft_binary64_11016` `rem-3cbrt-lft_binary64_11015` `rem-cbrt-cube_binary64_11014` `rem-cube-cbrt_binary64_11013` `sqr-abs_binary64_11005` `sqr-neg_binary64_11004` `rem-sqrt-square_binary64_11003` `rem-square-sqrt_binary64_11002` `times-frac_binary64_10996` `*-inverses_binary64_10970` `+-inverses_binary64_10969` `lft-mult-inverse_binary64_10968` `rgt-mult-inverse_binary64_10967` `remove-double-div_binary64_10966` `pow-sqr_binary64_10963` `sqr-pow_binary64_10962` `difference-of-sqr--1_binary64_10961` `difference-of-sqr-1_binary64_10960` `difference-of-squares_binary64_10959` `unswap-sqr_binary64_10958` `swap-sqr_binary64_10957` `cancel-sign-sub_binary64_10955` `count-2_binary64_10938`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	91
1	70	91
2	146	91
3	287	91
4	585	91
5	1250	91
6	2136	91
7	3726	91
8	3755	91
9	4119	91
10	4254	91
11	4349	91
12	4567	91
13	4559	91
14	4611	91
15	4807	91
16	4921	91
17	4943	91
18	4943	91
19	4943	91
20	4968	91
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
3.0ms	87×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

203×	`cancel-sign-sub-inv_binary64_10956`
145×	`distribute-rgt-in_binary64_10940`
104×	`div-sub_binary64_10995`
101×	`unsub-neg_binary64_10984`
96×	`distribute-lft-in_binary64_10939`
94×	`associate-/l*_binary64_10935`
82×	`associate-r_binary64_10930`
78×	`associate-l_binary64_10931`
67×	`sub-neg_binary64_10983`
63×	`distribute-rgt-neg-in_binary64_10948`
55×	`associate-/r*_binary64_10934`
52×	`distribute-rgt-neg-out_binary64_10950`
46×	`distribute-lft-neg-out_binary64_10949`
41×	`associate-/r/_binary64_10936`
40×	`neg-mul-1_binary64_10986`
38×	`distribute-lft-neg-in_binary64_10947`
35×	`neg-sub0_binary64_10985` `*-commutative_binary64_10921`
34×	`associate--r+_binary64_10926`
33×	`distribute-neg-in_binary64_10951`
30×	`distribute-neg-frac_binary64_10954`
27×	`associate-/l/_binary64_10937`
26×	`mul0-lft_binary64_10972` `associate-+l-_binary64_10925`
24×	`associate-*l/_binary64_10933`
23×	`mul0-rgt_binary64_10973` `+-commutative_binary64_10920`
21×	`associate-+l+_binary64_10923`
20×	`associate-+r+_binary64_10922`
15×	`distribute-rgt-out--_binary64_10944`
13×	`sub0-neg_binary64_10977` `+-lft-identity_binary64_10974` `distribute-frac-neg_binary64_10953`
11×	`remove-double-neg_binary64_10978`
10×	`associate-+r-_binary64_10924`
9×	`distribute-rgt-out_binary64_10943` `associate--l+_binary64_10927`
8×	`-rgt-identity_binary64_10980` `associate-r/_binary64_10932`
7×	`*-lft-identity_binary64_10979`
6×	`div0_binary64_10971` `associate--l-_binary64_10928`
5×	`associate--r-_binary64_10929`
4×	`/-rgt-identity_binary64_10981`
3×	`--rgt-identity_binary64_10976` `+-rgt-identity_binary64_10975` `distribute-neg-out_binary64_10952`
2×	`distribute-rgt1-in_binary64_10946`
1×	`1-exp_binary64_11034` `mul-1-neg_binary64_10982` `distribute-lft1-in_binary64_10945` `distribute-lft-out--_binary64_10942` `distribute-lft-out_binary64_10941`
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_11253` `erf-erfc_binary64_11252` `erf-odd_binary64_11251` `if-if-and-not_binary64_11250` `if-if-and_binary64_11249` `if-if-or-not_binary64_11248` `if-if-or_binary64_11247` `if-not_binary64_11246` `if-same_binary64_11245` `if-false_binary64_11244` `if-true_binary64_11243` `not-gte_binary64_11242` `not-lte_binary64_11241` `not-gt_binary64_11240` `not-lt_binary64_11239` `gte-same_binary64_11238` `lte-same_binary64_11237` `gt-same_binary64_11236` `lt-same_binary64_11235` `sinh---cosh_binary64_11182` `sinh-+-cosh_binary64_11181` `sinh-cosh_binary64_11180` `tanh-def-c_binary64_11179` `tanh-def-b_binary64_11178` `tanh-def-a_binary64_11177` `cosh-def_binary64_11176` `sinh-def_binary64_11175` `tan-neg_binary64_11122` `cos-neg_binary64_11121` `sin-neg_binary64_11120` `tan-0_binary64_11119` `cos-0_binary64_11118` `sin-0_binary64_11117` `hang-m-tan_binary64_11116` `hang-p-tan_binary64_11115` `hang-m0-tan_binary64_11114` `hang-p0-tan_binary64_11113` `hang-0m-tan_binary64_11112` `hang-0p-tan_binary64_11111` `tan-+PI/2_binary64_11110` `tan-+PI_binary64_11109` `tan-PI_binary64_11108` `tan-PI/3_binary64_11107` `tan-PI/4_binary64_11106` `tan-PI/6_binary64_11105` `cos-+PI/2_binary64_11104` `cos-+PI_binary64_11103` `cos-PI_binary64_11102` `cos-PI/2_binary64_11101` `cos-PI/3_binary64_11100` `cos-PI/4_binary64_11099` `cos-PI/6_binary64_11098` `sin-+PI/2_binary64_11097` `sin-+PI_binary64_11096` `sin-PI_binary64_11095` `sin-PI/2_binary64_11094` `sin-PI/3_binary64_11093` `sin-PI/4_binary64_11092` `sin-PI/6_binary64_11091` `sub-1-sin_binary64_11090` `sub-1-cos_binary64_11089` `-1-add-sin_binary64_11088` `-1-add-cos_binary64_11087` `1-sub-sin_binary64_11086` `1-sub-cos_binary64_11085` `cos-sin-sum_binary64_11084` `log-E_binary64_11080` `log-pow_binary64_11079` `log-rec_binary64_11078` `log-div_binary64_11077` `log-prod_binary64_11076` `pow-base-0_binary64_11074` `unpow1/3_binary64_11057` `unpow3_binary64_11056` `unpow2_binary64_11055` `unpow1/2_binary64_11054` `pow-plus_binary64_11053` `exp-to-pow_binary64_11052` `pow-base-1_binary64_11050` `unpow0_binary64_11049` `unpow1_binary64_11048` `unpow-1_binary64_11047` `exp-lft-cube_binary64_11046` `exp-lft-sqr_binary64_11045` `exp-cbrt_binary64_11044` `exp-sqrt_binary64_11043` `exp-prod_binary64_11042` `div-exp_binary64_11041` `rec-exp_binary64_11040` `prod-exp_binary64_11039` `exp-diff_binary64_11038` `exp-neg_binary64_11037` `exp-sum_binary64_11036` `e-exp-1_binary64_11035` `exp-1-e_binary64_11033` `exp-0_binary64_11032` `rem-log-exp_binary64_11031` `rem-exp-log_binary64_11030` `cube-unmult_binary64_11027` `cube-mult_binary64_11020` `cube-div_binary64_11019` `cube-prod_binary64_11018` `cube-neg_binary64_11017` `rem-3cbrt-rft_binary64_11016` `rem-3cbrt-lft_binary64_11015` `rem-cbrt-cube_binary64_11014` `rem-cube-cbrt_binary64_11013` `sqr-abs_binary64_11005` `sqr-neg_binary64_11004` `rem-sqrt-square_binary64_11003` `rem-square-sqrt_binary64_11002` `times-frac_binary64_10996` `*-inverses_binary64_10970` `+-inverses_binary64_10969` `lft-mult-inverse_binary64_10968` `rgt-mult-inverse_binary64_10967` `remove-double-div_binary64_10966` `pow-sqr_binary64_10963` `sqr-pow_binary64_10962` `difference-of-sqr--1_binary64_10961` `difference-of-sqr-1_binary64_10960` `difference-of-squares_binary64_10959` `unswap-sqr_binary64_10958` `swap-sqr_binary64_10957` `cancel-sign-sub_binary64_10955` `count-2_binary64_10938`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	30	13
3	57	13
4	114	13
5	185	13
6	304	13
7	504	13
8	754	13
9	848	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

6.3b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
6.7b	(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite82.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-sqr-sqrt_binary64_11012` `*-un-lft-identity_binary64_10990`
10×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
9×	`add-cube-cbrt_binary64_11025`
6×	`cancel-sign-sub-inv_binary64_10956`
5×	`pow1_binary64_11051` `add-log-exp_binary64_11029` `associate-r_binary64_10930`
4×	`associate-*r/_binary64_10932` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
3×	`times-frac_binary64_10996` `associate-/r_binary64_10934` `associate-l*_binary64_10931`
2×	`prod-exp_binary64_11039` `div-exp_binary64_11041` `cbrt-undiv_binary64_11024` `cbrt-unprod_binary64_11023` `flip3--_binary64_10994` `associate-/l/_binary64_10937` `flip--_binary64_10965` `sub-neg_binary64_10983`
1×	`frac-2neg_binary64_11001` `clear-num_binary64_10989` `div-inv_binary64_10987` `associate-/l_binary64_10935` `sum-log_binary64_11081` `flip3-+_binary64_10993` `flip-+_binary64_10964` `distribute-lft-out_binary64_10941` `+-commutative_binary64_10920` `pow-prod-down_binary64_11061` `unswap-sqr_binary64_10958` `difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942` `-commutative_binary64_10921`

Counts

3 → 65

Calls

3 calls:

8.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
7.0ms	(*.f64 y (-.f64 z x))
5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))

Compiler

Compiled 1047 to 299 computations (71.4% saved)

series875.0ms (10.8%)

Error

0.0b

Counts

3 → 57

Calls

3 calls:

407.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
294.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
140.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 1493 to 861 computations (42.3% saved)

simplify85.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

583×	`times-frac_binary64_10996`
500×	`distribute-rgt-in_binary64_10940`
481×	`distribute-lft-in_binary64_10939`
214×	`associate-/l/_binary64_10937`
196×	`exp-prod_binary64_11042`
90×	`associate-l_binary64_10931`
80×	`*-commutative_binary64_10921`
78×	`exp-sum_binary64_11036`
77×	`associate-r_binary64_10930`
74×	`associate-/l*_binary64_10935`
69×	`distribute-rgt-neg-in_binary64_10948`
66×	`sub-neg_binary64_10983`
56×	`distribute-lft-neg-out_binary64_10949`
55×	`log-div_binary64_11077` `distribute-neg-frac_binary64_10954` `associate-*l/_binary64_10933`
53×	`div-sub_binary64_10995`
51×	`cancel-sign-sub-inv_binary64_10956`
50×	`log-prod_binary64_11076` `distribute-rgt-neg-out_binary64_10950`
46×	`distribute-lft-neg-in_binary64_10947`
43×	`associate-*r/_binary64_10932`
40×	`neg-sub0_binary64_10985`
34×	`neg-mul-1_binary64_10986`
33×	`distribute-neg-in_binary64_10951`
30×	`+-commutative_binary64_10920`
28×	`exp-diff_binary64_11038`
25×	`*-rgt-identity_binary64_10980`
24×	`sqr-pow_binary64_10962`
23×	`cube-div_binary64_11019`
21×	`*-lft-identity_binary64_10979`
17×	`associate-/r*_binary64_10934`
16×	`unpow3_binary64_11056` `cube-prod_binary64_11018`
15×	`log-rec_binary64_11078`
13×	`exp-neg_binary64_11037` `associate-/r/_binary64_10936`
10×	`/-rgt-identity_binary64_10981` `swap-sqr_binary64_10957`
7×	`unsub-neg_binary64_10984` `mul-1-neg_binary64_10982` `remove-double-neg_binary64_10978`
6×	`cube-mult_binary64_11020`
5×	`distribute-rgt-out_binary64_10943` `associate--l+_binary64_10927` `associate-+l+_binary64_10923`
4×	`cube-unmult_binary64_11027` `difference-of-squares_binary64_10959` `unswap-sqr_binary64_10958` `distribute-rgt-out--_binary64_10944`
3×	`cancel-sign-sub_binary64_10955`
2×	`associate--r-_binary64_10929` `associate--r+_binary64_10926` `associate-+l-_binary64_10925` `associate-+r-_binary64_10924` `associate-+r+_binary64_10922`
1×	`unpow1/2_binary64_11054` `prod-exp_binary64_11039` `1-exp_binary64_11034` `exp-1-e_binary64_11033` `rem-3cbrt-lft_binary64_11015` `rem-sqrt-square_binary64_11003` `rem-square-sqrt_binary64_11002` `+-rgt-identity_binary64_10975` `pow-sqr_binary64_10963` `distribute-frac-neg_binary64_10953` `associate--l-_binary64_10928`
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_11253` `erf-erfc_binary64_11252` `erf-odd_binary64_11251` `if-if-and-not_binary64_11250` `if-if-and_binary64_11249` `if-if-or-not_binary64_11248` `if-if-or_binary64_11247` `if-not_binary64_11246` `if-same_binary64_11245` `if-false_binary64_11244` `if-true_binary64_11243` `not-gte_binary64_11242` `not-lte_binary64_11241` `not-gt_binary64_11240` `not-lt_binary64_11239` `gte-same_binary64_11238` `lte-same_binary64_11237` `gt-same_binary64_11236` `lt-same_binary64_11235` `sinh---cosh_binary64_11182` `sinh-+-cosh_binary64_11181` `sinh-cosh_binary64_11180` `tanh-def-c_binary64_11179` `tanh-def-b_binary64_11178` `tanh-def-a_binary64_11177` `cosh-def_binary64_11176` `sinh-def_binary64_11175` `tan-neg_binary64_11122` `cos-neg_binary64_11121` `sin-neg_binary64_11120` `tan-0_binary64_11119` `cos-0_binary64_11118` `sin-0_binary64_11117` `hang-m-tan_binary64_11116` `hang-p-tan_binary64_11115` `hang-m0-tan_binary64_11114` `hang-p0-tan_binary64_11113` `hang-0m-tan_binary64_11112` `hang-0p-tan_binary64_11111` `tan-+PI/2_binary64_11110` `tan-+PI_binary64_11109` `tan-PI_binary64_11108` `tan-PI/3_binary64_11107` `tan-PI/4_binary64_11106` `tan-PI/6_binary64_11105` `cos-+PI/2_binary64_11104` `cos-+PI_binary64_11103` `cos-PI_binary64_11102` `cos-PI/2_binary64_11101` `cos-PI/3_binary64_11100` `cos-PI/4_binary64_11099` `cos-PI/6_binary64_11098` `sin-+PI/2_binary64_11097` `sin-+PI_binary64_11096` `sin-PI_binary64_11095` `sin-PI/2_binary64_11094` `sin-PI/3_binary64_11093` `sin-PI/4_binary64_11092` `sin-PI/6_binary64_11091` `sub-1-sin_binary64_11090` `sub-1-cos_binary64_11089` `-1-add-sin_binary64_11088` `-1-add-cos_binary64_11087` `1-sub-sin_binary64_11086` `1-sub-cos_binary64_11085` `cos-sin-sum_binary64_11084` `log-E_binary64_11080` `log-pow_binary64_11079` `pow-base-0_binary64_11074` `unpow1/3_binary64_11057` `unpow2_binary64_11055` `pow-plus_binary64_11053` `exp-to-pow_binary64_11052` `pow-base-1_binary64_11050` `unpow0_binary64_11049` `unpow1_binary64_11048` `unpow-1_binary64_11047` `exp-lft-cube_binary64_11046` `exp-lft-sqr_binary64_11045` `exp-cbrt_binary64_11044` `exp-sqrt_binary64_11043` `div-exp_binary64_11041` `rec-exp_binary64_11040` `e-exp-1_binary64_11035` `exp-0_binary64_11032` `rem-log-exp_binary64_11031` `rem-exp-log_binary64_11030` `cube-neg_binary64_11017` `rem-3cbrt-rft_binary64_11016` `rem-cbrt-cube_binary64_11014` `rem-cube-cbrt_binary64_11013` `sqr-abs_binary64_11005` `sqr-neg_binary64_11004` `sub0-neg_binary64_10977` `--rgt-identity_binary64_10976` `+-lft-identity_binary64_10974` `mul0-rgt_binary64_10973` `mul0-lft_binary64_10972` `div0_binary64_10971` `*-inverses_binary64_10970` `+-inverses_binary64_10969` `lft-mult-inverse_binary64_10968` `rgt-mult-inverse_binary64_10967` `remove-double-div_binary64_10966` `difference-of-sqr--1_binary64_10961` `difference-of-sqr-1_binary64_10960` `distribute-neg-out_binary64_10952` `distribute-rgt1-in_binary64_10946` `distribute-lft1-in_binary64_10945` `distribute-lft-out--_binary64_10942` `distribute-lft-out_binary64_10941` `count-2_binary64_10938`

Counts

122 → 84

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	151	1455
1	387	1318
2	1340	1318
3	4641	1318
4	5049	1318

prune62.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	78	6	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	7	85

Error

0.0b

Counts

85 → 7

Compiler

Compiled 1064 to 230 computations (78.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (/.f64 t (*.f64 (-.f64 z x) y))))
0.0b	(*.f64 (-.f64 z x) y)
0.6b	(/.f64 1 (/.f64 t (*.f64 (-.f64 z x) y)))
6.6b	(/.f64 t (*.f64 (-.f64 z x) y))

rewrite168.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`times-frac_binary64_10996`
32×	`add-exp-log_binary64_11028`
31×	`*-un-lft-identity_binary64_10990`
30×	`add-sqr-sqrt_binary64_11012`
26×	`add-cube-cbrt_binary64_11025`
20×	`add-cbrt-cube_binary64_11026`
14×	`div-exp_binary64_11041`
12×	`associate-*l/_binary64_10933`
11×	`associate-/r/_binary64_10936`
10×	`associate-/r*_binary64_10934`
7×	`pow1_binary64_11051` `cbrt-undiv_binary64_11024` `div-inv_binary64_10987`
6×	`add-log-exp_binary64_11029` `flip3--_binary64_10994` `flip--_binary64_10965` `associate-/l*_binary64_10935`
5×	`prod-exp_binary64_11039` `associate-l_binary64_10931`
3×	`cbrt-unprod_binary64_11023` `1-exp_binary64_11034` `rec-exp_binary64_11040` `associate-r_binary64_10930`
2×	`frac-2neg_binary64_11001` `clear-num_binary64_10989` `distribute-lft-out_binary64_10941`
1×	`inv-pow_binary64_11075` `pow-flip_binary64_11064` `pow-prod-down_binary64_11061` `unswap-sqr_binary64_10958` `difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942` `*-commutative_binary64_10921` `sum-log_binary64_11081` `flip3-+_binary64_10993` `flip-+_binary64_10964` `+-commutative_binary64_10920`

Counts

4 → 122

Calls

4 calls:

12.0ms	(+.f64 x (/.f64 1 (/.f64 t (*.f64 (-.f64 z x) y))))
10.0ms	(/.f64 1 (/.f64 t (*.f64 (-.f64 z x) y)))
7.0ms	(/.f64 t (*.f64 (-.f64 z x) y))
7.0ms	(*.f64 (-.f64 z x) y)

Compiler

Compiled 2347 to 874 computations (62.8% saved)

series1.2s (14.2%)

Error

0.0b

Counts

4 → 78

Calls

4 calls:

406.0ms	(+.f64 x (/.f64 1 (/.f64 t (*.f64 (-.f64 z x) y))))
288.0ms	(/.f64 t (*.f64 (-.f64 z x) y))
264.0ms	(/.f64 1 (/.f64 t (*.f64 (-.f64 z x) y)))
145.0ms	(*.f64 (-.f64 z x) y)

Compiler

Compiled 2546 to 1609 computations (36.8% saved)

simplify125.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

434×	`distribute-rgt-in_binary64_10940`
414×	`distribute-lft-in_binary64_10939`
406×	`associate-/r/_binary64_10936`
286×	`associate-/l/_binary64_10937`
206×	`div-sub_binary64_10995`
120×	`exp-prod_binary64_11042`
92×	`*-commutative_binary64_10921`
89×	`associate-/r_binary64_10934` `associate-r*_binary64_10930`
86×	`associate-/l*_binary64_10935`
81×	`cancel-sign-sub-inv_binary64_10956`
76×	`exp-sum_binary64_11036`
74×	`sub-neg_binary64_10983`
72×	`times-frac_binary64_10996`
68×	`associate-l_binary64_10931`
67×	`distribute-rgt-neg-in_binary64_10948`
65×	`associate-*l/_binary64_10933`
62×	`cube-prod_binary64_11018`
53×	`log-prod_binary64_11076`
52×	`distribute-lft-neg-in_binary64_10947`
48×	`distribute-neg-frac_binary64_10954`
46×	`neg-sub0_binary64_10985`
43×	`associate-*r/_binary64_10932`
42×	`neg-mul-1_binary64_10986`
41×	`distribute-lft-neg-out_binary64_10949` `+-commutative_binary64_10920`
39×	`log-div_binary64_11077`
37×	`cube-div_binary64_11019`
35×	`*-rgt-identity_binary64_10980`
33×	`sqr-pow_binary64_10962` `distribute-neg-in_binary64_10951`
31×	`distribute-rgt-neg-out_binary64_10950`
29×	`distribute-rgt-out_binary64_10943`
19×	`*-lft-identity_binary64_10979`
18×	`unswap-sqr_binary64_10958`
17×	`exp-diff_binary64_11038`
15×	`associate-+r+_binary64_10922`
14×	`swap-sqr_binary64_10957` `distribute-rgt-out--_binary64_10944`
13×	`unpow3_binary64_11056` `unsub-neg_binary64_10984`
12×	`/-rgt-identity_binary64_10981`
11×	`log-rec_binary64_11078`
10×	`cube-mult_binary64_11020`
8×	`mul-1-neg_binary64_10982`
7×	`cube-unmult_binary64_11027`
6×	`difference-of-squares_binary64_10959` `associate--r+_binary64_10926` `associate-+l+_binary64_10923`
5×	`associate--r-_binary64_10929`
4×	`sqr-neg_binary64_11004` `associate-+r-_binary64_10924`
3×	`unpow1/2_binary64_11054` `cube-neg_binary64_11017` `remove-double-neg_binary64_10978`
2×	`unpow2_binary64_11055` `pow-plus_binary64_11053` `unpow1_binary64_11048` `exp-neg_binary64_11037` `rem-sqrt-square_binary64_11003` `sub0-neg_binary64_10977` `+-lft-identity_binary64_10974` `div0_binary64_10971` `remove-double-div_binary64_10966` `distribute-lft-out_binary64_10941` `associate--l+_binary64_10927`
1×	`prod-exp_binary64_11039` `1-exp_binary64_11034` `exp-1-e_binary64_11033` `+-rgt-identity_binary64_10975` `pow-sqr_binary64_10963` `distribute-frac-neg_binary64_10953` `distribute-neg-out_binary64_10952` `distribute-lft-out--_binary64_10942` `count-2_binary64_10938` `associate-+l-_binary64_10925`
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_11253` `erf-erfc_binary64_11252` `erf-odd_binary64_11251` `if-if-and-not_binary64_11250` `if-if-and_binary64_11249` `if-if-or-not_binary64_11248` `if-if-or_binary64_11247` `if-not_binary64_11246` `if-same_binary64_11245` `if-false_binary64_11244` `if-true_binary64_11243` `not-gte_binary64_11242` `not-lte_binary64_11241` `not-gt_binary64_11240` `not-lt_binary64_11239` `gte-same_binary64_11238` `lte-same_binary64_11237` `gt-same_binary64_11236` `lt-same_binary64_11235` `sinh---cosh_binary64_11182` `sinh-+-cosh_binary64_11181` `sinh-cosh_binary64_11180` `tanh-def-c_binary64_11179` `tanh-def-b_binary64_11178` `tanh-def-a_binary64_11177` `cosh-def_binary64_11176` `sinh-def_binary64_11175` `tan-neg_binary64_11122` `cos-neg_binary64_11121` `sin-neg_binary64_11120` `tan-0_binary64_11119` `cos-0_binary64_11118` `sin-0_binary64_11117` `hang-m-tan_binary64_11116` `hang-p-tan_binary64_11115` `hang-m0-tan_binary64_11114` `hang-p0-tan_binary64_11113` `hang-0m-tan_binary64_11112` `hang-0p-tan_binary64_11111` `tan-+PI/2_binary64_11110` `tan-+PI_binary64_11109` `tan-PI_binary64_11108` `tan-PI/3_binary64_11107` `tan-PI/4_binary64_11106` `tan-PI/6_binary64_11105` `cos-+PI/2_binary64_11104` `cos-+PI_binary64_11103` `cos-PI_binary64_11102` `cos-PI/2_binary64_11101` `cos-PI/3_binary64_11100` `cos-PI/4_binary64_11099` `cos-PI/6_binary64_11098` `sin-+PI/2_binary64_11097` `sin-+PI_binary64_11096` `sin-PI_binary64_11095` `sin-PI/2_binary64_11094` `sin-PI/3_binary64_11093` `sin-PI/4_binary64_11092` `sin-PI/6_binary64_11091` `sub-1-sin_binary64_11090` `sub-1-cos_binary64_11089` `-1-add-sin_binary64_11088` `-1-add-cos_binary64_11087` `1-sub-sin_binary64_11086` `1-sub-cos_binary64_11085` `cos-sin-sum_binary64_11084` `log-E_binary64_11080` `log-pow_binary64_11079` `pow-base-0_binary64_11074` `unpow1/3_binary64_11057` `exp-to-pow_binary64_11052` `pow-base-1_binary64_11050` `unpow0_binary64_11049` `unpow-1_binary64_11047` `exp-lft-cube_binary64_11046` `exp-lft-sqr_binary64_11045` `exp-cbrt_binary64_11044` `exp-sqrt_binary64_11043` `div-exp_binary64_11041` `rec-exp_binary64_11040` `e-exp-1_binary64_11035` `exp-0_binary64_11032` `rem-log-exp_binary64_11031` `rem-exp-log_binary64_11030` `rem-3cbrt-rft_binary64_11016` `rem-3cbrt-lft_binary64_11015` `rem-cbrt-cube_binary64_11014` `rem-cube-cbrt_binary64_11013` `sqr-abs_binary64_11005` `rem-square-sqrt_binary64_11002` `--rgt-identity_binary64_10976` `mul0-rgt_binary64_10973` `mul0-lft_binary64_10972` `*-inverses_binary64_10970` `+-inverses_binary64_10969` `lft-mult-inverse_binary64_10968` `rgt-mult-inverse_binary64_10967` `difference-of-sqr--1_binary64_10961` `difference-of-sqr-1_binary64_10960` `cancel-sign-sub_binary64_10955` `distribute-rgt1-in_binary64_10946` `distribute-lft1-in_binary64_10945` `associate--l-_binary64_10928`

Counts

200 → 132

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	3123
1	520	2795
2	1769	2726
3	4474	2726
4	5190	2726

prune99.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	3	2	5
Picked	1	0	1
Done	1	0	1
Total	135	4	139

Error

0.0b

Counts

139 → 4

Compiler

Compiled 1901 to 544 computations (71.4% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 z x) (/.f64 y t)))
6.7b	(*.f64 (-.f64 z x) (/.f64 y t))

rewrite54.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64_11012`
13×	`associate-r_binary64_10930`
12×	`*-un-lft-identity_binary64_10990`
10×	`add-cube-cbrt_binary64_11025` `times-frac_binary64_10996`
7×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
5×	`associate-l_binary64_10931`
4×	`pow1_binary64_11051` `add-log-exp_binary64_11029`
2×	`prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `flip3--_binary64_10994` `frac-times_binary64_11000` `flip--_binary64_10965` `unswap-sqr_binary64_10958` `associate-*l/_binary64_10933`
1×	`pow-prod-down_binary64_11061` `div-exp_binary64_11041` `cbrt-undiv_binary64_11024` `associate-r/_binary64_10932` `difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942` `div-inv_binary64_10987` `-commutative_binary64_10921` `sum-log_binary64_11081` `flip3-+_binary64_10993` `flip-+_binary64_10964` `+-commutative_binary64_10920`

Counts

2 → 49

Calls

2 calls:

10.0ms	(*.f64 (-.f64 z x) (/.f64 y t))
4.0ms	(+.f64 x (*.f64 (-.f64 z x) (/.f64 y t)))

Compiler

Compiled 861 to 228 computations (73.5% saved)

series713.0ms (8.8%)

Error

0.0b

Counts

2 → 42

Calls

2 calls:

407.0ms	(+.f64 x (*.f64 (-.f64 z x) (/.f64 y t)))
285.0ms	(*.f64 (-.f64 z x) (/.f64 y t))

Compiler

Compiled 1118 to 645 computations (42.3% saved)

simplify78.0ms (1%)

Algorithm

1×	egg-herbie

Rules

788×	`times-frac_binary64_10996`
481×	`distribute-rgt-in_binary64_10940`
466×	`distribute-lft-in_binary64_10939`
392×	`associate-*r/_binary64_10932`
372×	`associate-*l/_binary64_10933`
224×	`associate-/l*_binary64_10935`
83×	`associate-l_binary64_10931`
77×	`*-commutative_binary64_10921`
70×	`associate-r_binary64_10930`
68×	`associate-/r/_binary64_10936`
67×	`associate-/l/_binary64_10937`
60×	`distribute-rgt-neg-in_binary64_10948`
57×	`associate-/r*_binary64_10934`
56×	`sub-neg_binary64_10983`
55×	`exp-prod_binary64_11042` `cancel-sign-sub-inv_binary64_10956`
53×	`distribute-lft-neg-out_binary64_10949`
45×	`distribute-lft-neg-in_binary64_10947`
40×	`distribute-rgt-neg-out_binary64_10950`
35×	`distribute-neg-frac_binary64_10954`
33×	`neg-sub0_binary64_10985`
31×	`+-commutative_binary64_10920`
30×	`distribute-neg-in_binary64_10951`
27×	`neg-mul-1_binary64_10986`
25×	`exp-sum_binary64_11036` `cube-prod_binary64_11018`
24×	`div-sub_binary64_10995`
23×	`sqr-pow_binary64_10962`
21×	`*-rgt-identity_binary64_10980`
19×	`log-prod_binary64_11076` `*-lft-identity_binary64_10979`
18×	`log-div_binary64_11077` `cube-div_binary64_11019`
17×	`distribute-rgt-out_binary64_10943`
14×	`exp-diff_binary64_11038`
10×	`unpow3_binary64_11056` `distribute-rgt-out--_binary64_10944`
8×	`cube-mult_binary64_11020` `unswap-sqr_binary64_10958`
7×	`unsub-neg_binary64_10984` `mul-1-neg_binary64_10982`
6×	`/-rgt-identity_binary64_10981`
5×	`swap-sqr_binary64_10957` `associate-+l+_binary64_10923`
4×	`difference-of-squares_binary64_10959` `distribute-lft-out_binary64_10941`
3×	`prod-exp_binary64_11039` `cube-unmult_binary64_11027` `associate--l+_binary64_10927` `associate-+l-_binary64_10925`
2×	`log-rec_binary64_11078` `sqr-neg_binary64_11004` `remove-double-neg_binary64_10978` `distribute-lft-out--_binary64_10942` `associate-+r-_binary64_10924` `associate-+r+_binary64_10922`
1×	`unpow1/2_binary64_11054` `1-exp_binary64_11034` `exp-1-e_binary64_11033` `cube-neg_binary64_11017` `pow-sqr_binary64_10963` `associate--r-_binary64_10929` `associate--l-_binary64_10928` `associate--r+_binary64_10926`
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_11253` `erf-erfc_binary64_11252` `erf-odd_binary64_11251` `if-if-and-not_binary64_11250` `if-if-and_binary64_11249` `if-if-or-not_binary64_11248` `if-if-or_binary64_11247` `if-not_binary64_11246` `if-same_binary64_11245` `if-false_binary64_11244` `if-true_binary64_11243` `not-gte_binary64_11242` `not-lte_binary64_11241` `not-gt_binary64_11240` `not-lt_binary64_11239` `gte-same_binary64_11238` `lte-same_binary64_11237` `gt-same_binary64_11236` `lt-same_binary64_11235` `sinh---cosh_binary64_11182` `sinh-+-cosh_binary64_11181` `sinh-cosh_binary64_11180` `tanh-def-c_binary64_11179` `tanh-def-b_binary64_11178` `tanh-def-a_binary64_11177` `cosh-def_binary64_11176` `sinh-def_binary64_11175` `tan-neg_binary64_11122` `cos-neg_binary64_11121` `sin-neg_binary64_11120` `tan-0_binary64_11119` `cos-0_binary64_11118` `sin-0_binary64_11117` `hang-m-tan_binary64_11116` `hang-p-tan_binary64_11115` `hang-m0-tan_binary64_11114` `hang-p0-tan_binary64_11113` `hang-0m-tan_binary64_11112` `hang-0p-tan_binary64_11111` `tan-+PI/2_binary64_11110` `tan-+PI_binary64_11109` `tan-PI_binary64_11108` `tan-PI/3_binary64_11107` `tan-PI/4_binary64_11106` `tan-PI/6_binary64_11105` `cos-+PI/2_binary64_11104` `cos-+PI_binary64_11103` `cos-PI_binary64_11102` `cos-PI/2_binary64_11101` `cos-PI/3_binary64_11100` `cos-PI/4_binary64_11099` `cos-PI/6_binary64_11098` `sin-+PI/2_binary64_11097` `sin-+PI_binary64_11096` `sin-PI_binary64_11095` `sin-PI/2_binary64_11094` `sin-PI/3_binary64_11093` `sin-PI/4_binary64_11092` `sin-PI/6_binary64_11091` `sub-1-sin_binary64_11090` `sub-1-cos_binary64_11089` `-1-add-sin_binary64_11088` `-1-add-cos_binary64_11087` `1-sub-sin_binary64_11086` `1-sub-cos_binary64_11085` `cos-sin-sum_binary64_11084` `log-E_binary64_11080` `log-pow_binary64_11079` `pow-base-0_binary64_11074` `unpow1/3_binary64_11057` `unpow2_binary64_11055` `pow-plus_binary64_11053` `exp-to-pow_binary64_11052` `pow-base-1_binary64_11050` `unpow0_binary64_11049` `unpow1_binary64_11048` `unpow-1_binary64_11047` `exp-lft-cube_binary64_11046` `exp-lft-sqr_binary64_11045` `exp-cbrt_binary64_11044` `exp-sqrt_binary64_11043` `div-exp_binary64_11041` `rec-exp_binary64_11040` `exp-neg_binary64_11037` `e-exp-1_binary64_11035` `exp-0_binary64_11032` `rem-log-exp_binary64_11031` `rem-exp-log_binary64_11030` `rem-3cbrt-rft_binary64_11016` `rem-3cbrt-lft_binary64_11015` `rem-cbrt-cube_binary64_11014` `rem-cube-cbrt_binary64_11013` `sqr-abs_binary64_11005` `rem-sqrt-square_binary64_11003` `rem-square-sqrt_binary64_11002` `sub0-neg_binary64_10977` `--rgt-identity_binary64_10976` `+-rgt-identity_binary64_10975` `+-lft-identity_binary64_10974` `mul0-rgt_binary64_10973` `mul0-lft_binary64_10972` `div0_binary64_10971` `*-inverses_binary64_10970` `+-inverses_binary64_10969` `lft-mult-inverse_binary64_10968` `rgt-mult-inverse_binary64_10967` `remove-double-div_binary64_10966` `difference-of-sqr--1_binary64_10961` `difference-of-sqr-1_binary64_10960` `cancel-sign-sub_binary64_10955` `distribute-frac-neg_binary64_10953` `distribute-neg-out_binary64_10952` `distribute-rgt1-in_binary64_10946` `distribute-lft1-in_binary64_10945` `count-2_binary64_10938`

Counts

91 → 74

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	136	1274
1	358	1175
2	1244	1175
3	4185	1175
4	5097	1175

prune51.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	74	4	78

Error

Counts

78 → 4

Compiler

Compiled 900 to 192 computations (78.7% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 z x) (/.f64 t y)))
7.0b	(/.f64 (-.f64 z x) (/.f64 t y))

rewrite143.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

119×	`times-frac_binary64_10996`
88×	`*-un-lft-identity_binary64_10990`
86×	`add-sqr-sqrt_binary64_11012`
58×	`add-cube-cbrt_binary64_11025`
14×	`difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942`
13×	`associate-/r*_binary64_10934`
7×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `div-inv_binary64_10987`
5×	`associate-/l*_binary64_10935`
4×	`add-log-exp_binary64_11029`
3×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024`
2×	`pow1_binary64_11051` `div-sub_binary64_10995` `associate-/l/_binary64_10937`
1×	`frac-2neg_binary64_11001` `clear-num_binary64_10989` `flip3--_binary64_10994` `flip--_binary64_10965` `associate-/r/_binary64_10936` `sum-log_binary64_11081` `flip3-+_binary64_10993` `flip-+_binary64_10964` `distribute-lft-out_binary64_10941` `associate-+r-_binary64_10924` `+-commutative_binary64_10920`

Counts

2 → 114

Calls

2 calls:

20.0ms	(+.f64 x (/.f64 (-.f64 z x) (/.f64 t y)))
12.0ms	(/.f64 (-.f64 z x) (/.f64 t y))

Compiler

Compiled 2282 to 559 computations (75.5% saved)

series727.0ms (9%)

Error

Counts

2 → 42

Calls

2 calls:

419.0ms	(+.f64 x (/.f64 (-.f64 z x) (/.f64 t y)))
286.0ms	(/.f64 (-.f64 z x) (/.f64 t y))

Compiler

Compiled 1118 to 645 computations (42.3% saved)

simplify161.0ms (2%)

Algorithm

1×	egg-herbie

Rules

507×	`associate-/r/_binary64_10936`
365×	`distribute-rgt-in_binary64_10940`
363×	`distribute-lft-in_binary64_10939`
360×	`associate-/l/_binary64_10937`
349×	`div-sub_binary64_10995`
302×	`times-frac_binary64_10996`
134×	`neg-mul-1_binary64_10986`
126×	`*-commutative_binary64_10921`
123×	`associate-*l/_binary64_10933`
89×	`sub-neg_binary64_10983`
86×	`cancel-sign-sub-inv_binary64_10956`
75×	`distribute-neg-frac_binary64_10954` `distribute-rgt-neg-in_binary64_10948`
73×	`associate-*r/_binary64_10932`
66×	`distribute-lft-neg-in_binary64_10947`
63×	`neg-sub0_binary64_10985`
60×	`associate-/l*_binary64_10935`
56×	`exp-prod_binary64_11042` `associate-r_binary64_10930`
40×	`associate-/r*_binary64_10934`
38×	`-rgt-identity_binary64_10980` `associate-l*_binary64_10931`
36×	`distribute-lft-neg-out_binary64_10949`
32×	`distribute-neg-in_binary64_10951`
30×	`+-commutative_binary64_10920`
24×	`exp-sum_binary64_11036`
23×	`distribute-rgt-neg-out_binary64_10950`
22×	`distribute-rgt-out_binary64_10943`
20×	`log-div_binary64_11077`
19×	`cube-div_binary64_11019`
18×	`log-prod_binary64_11076` `cube-prod_binary64_11018`
17×	`sqr-pow_binary64_10962`
15×	`exp-diff_binary64_11038` `distribute-rgt-out--_binary64_10944`
14×	`/-rgt-identity_binary64_10981`
13×	`unpow3_binary64_11056`
7×	`cube-mult_binary64_11020` `mul-1-neg_binary64_10982`
6×	`unsub-neg_binary64_10984`
5×	`*-lft-identity_binary64_10979`
4×	`unswap-sqr_binary64_10958` `swap-sqr_binary64_10957` `distribute-lft-out_binary64_10941` `associate-+l+_binary64_10923`
3×	`cube-unmult_binary64_11027` `remove-double-neg_binary64_10978` `remove-double-div_binary64_10966` `associate--r-_binary64_10929` `associate--l+_binary64_10927` `associate--r+_binary64_10926`
2×	`log-rec_binary64_11078` `sqr-neg_binary64_11004` `distribute-lft-out--_binary64_10942` `associate-+l-_binary64_10925` `associate-+r+_binary64_10922`
1×	`prod-exp_binary64_11039` `1-exp_binary64_11034` `cube-neg_binary64_11017` `difference-of-squares_binary64_10959` `associate--l-_binary64_10928` `associate-+r-_binary64_10924`
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_11253` `erf-erfc_binary64_11252` `erf-odd_binary64_11251` `if-if-and-not_binary64_11250` `if-if-and_binary64_11249` `if-if-or-not_binary64_11248` `if-if-or_binary64_11247` `if-not_binary64_11246` `if-same_binary64_11245` `if-false_binary64_11244` `if-true_binary64_11243` `not-gte_binary64_11242` `not-lte_binary64_11241` `not-gt_binary64_11240` `not-lt_binary64_11239` `gte-same_binary64_11238` `lte-same_binary64_11237` `gt-same_binary64_11236` `lt-same_binary64_11235` `sinh---cosh_binary64_11182` `sinh-+-cosh_binary64_11181` `sinh-cosh_binary64_11180` `tanh-def-c_binary64_11179` `tanh-def-b_binary64_11178` `tanh-def-a_binary64_11177` `cosh-def_binary64_11176` `sinh-def_binary64_11175` `tan-neg_binary64_11122` `cos-neg_binary64_11121` `sin-neg_binary64_11120` `tan-0_binary64_11119` `cos-0_binary64_11118` `sin-0_binary64_11117` `hang-m-tan_binary64_11116` `hang-p-tan_binary64_11115` `hang-m0-tan_binary64_11114` `hang-p0-tan_binary64_11113` `hang-0m-tan_binary64_11112` `hang-0p-tan_binary64_11111` `tan-+PI/2_binary64_11110` `tan-+PI_binary64_11109` `tan-PI_binary64_11108` `tan-PI/3_binary64_11107` `tan-PI/4_binary64_11106` `tan-PI/6_binary64_11105` `cos-+PI/2_binary64_11104` `cos-+PI_binary64_11103` `cos-PI_binary64_11102` `cos-PI/2_binary64_11101` `cos-PI/3_binary64_11100` `cos-PI/4_binary64_11099` `cos-PI/6_binary64_11098` `sin-+PI/2_binary64_11097` `sin-+PI_binary64_11096` `sin-PI_binary64_11095` `sin-PI/2_binary64_11094` `sin-PI/3_binary64_11093` `sin-PI/4_binary64_11092` `sin-PI/6_binary64_11091` `sub-1-sin_binary64_11090` `sub-1-cos_binary64_11089` `-1-add-sin_binary64_11088` `-1-add-cos_binary64_11087` `1-sub-sin_binary64_11086` `1-sub-cos_binary64_11085` `cos-sin-sum_binary64_11084` `log-E_binary64_11080` `log-pow_binary64_11079` `pow-base-0_binary64_11074` `unpow1/3_binary64_11057` `unpow2_binary64_11055` `unpow1/2_binary64_11054` `pow-plus_binary64_11053` `exp-to-pow_binary64_11052` `pow-base-1_binary64_11050` `unpow0_binary64_11049` `unpow1_binary64_11048` `unpow-1_binary64_11047` `exp-lft-cube_binary64_11046` `exp-lft-sqr_binary64_11045` `exp-cbrt_binary64_11044` `exp-sqrt_binary64_11043` `div-exp_binary64_11041` `rec-exp_binary64_11040` `exp-neg_binary64_11037` `e-exp-1_binary64_11035` `exp-1-e_binary64_11033` `exp-0_binary64_11032` `rem-log-exp_binary64_11031` `rem-exp-log_binary64_11030` `rem-3cbrt-rft_binary64_11016` `rem-3cbrt-lft_binary64_11015` `rem-cbrt-cube_binary64_11014` `rem-cube-cbrt_binary64_11013` `sqr-abs_binary64_11005` `rem-sqrt-square_binary64_11003` `rem-square-sqrt_binary64_11002` `sub0-neg_binary64_10977` `--rgt-identity_binary64_10976` `+-rgt-identity_binary64_10975` `+-lft-identity_binary64_10974` `mul0-rgt_binary64_10973` `mul0-lft_binary64_10972` `div0_binary64_10971` `*-inverses_binary64_10970` `+-inverses_binary64_10969` `lft-mult-inverse_binary64_10968` `rgt-mult-inverse_binary64_10967` `pow-sqr_binary64_10963` `difference-of-sqr--1_binary64_10961` `difference-of-sqr-1_binary64_10960` `cancel-sign-sub_binary64_10955` `distribute-frac-neg_binary64_10953` `distribute-neg-out_binary64_10952` `distribute-rgt1-in_binary64_10946` `distribute-lft1-in_binary64_10945` `count-2_binary64_10938`

Counts

156 → 119

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	3072
1	641	2937
2	1900	2932
3	4357	2932
4	4986	2932
5	4997	2932

prune80.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	119	4	123

Error

Counts

123 → 4

Compiler

Compiled 1666 to 296 computations (82.2% saved)

regimes506.0ms (6.2%)

Accuracy

Total 2.0b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 3621 to 2923 computations (19.3% saved)

bsearch47.0ms (0.6%)

Steps

Iters	Range		Point
7	1.7256282274796865e-212	1.5951619207139862e-210	1.6885056191188459e-211
10	-1.8883978523478415e-301	1.8484675476545315e-302	3.4318297806200757e-307

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64_10920`
3×	`*-commutative_binary64_10921`
2×	`sub-neg_binary64_10983`
1×	`if-if-or-not_binary64_11248` `neg-mul-1_binary64_10986` `neg-sub0_binary64_10985`
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_11250` `if-if-and_binary64_11249` `if-if-or_binary64_11247` `if-not_binary64_11246` `if-same_binary64_11245` `if-false_binary64_11244` `if-true_binary64_11243` `tan-0_binary64_11119` `cos-0_binary64_11118` `sin-0_binary64_11117` `unpow1_binary64_11048` `e-exp-1_binary64_11035` `1-exp_binary64_11034` `exp-1-e_binary64_11033` `exp-0_binary64_11032` `sqr-abs_binary64_11005` `sqr-neg_binary64_11004` `unsub-neg_binary64_10984` `mul-1-neg_binary64_10982` `/-rgt-identity_binary64_10981` `-rgt-identity_binary64_10980` `-lft-identity_binary64_10979` `remove-double-neg_binary64_10978` `sub0-neg_binary64_10977` `--rgt-identity_binary64_10976` `+-rgt-identity_binary64_10975` `+-lft-identity_binary64_10974` `cancel-sign-sub-inv_binary64_10956` `cancel-sign-sub_binary64_10955` `distribute-neg-frac_binary64_10954` `distribute-frac-neg_binary64_10953` `distribute-neg-out_binary64_10952` `distribute-neg-in_binary64_10951` `distribute-rgt-neg-out_binary64_10950` `distribute-lft-neg-out_binary64_10949` `distribute-rgt-neg-in_binary64_10948` `distribute-lft-neg-in_binary64_10947`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	40
1	28	40
2	33	40
3	35	40
4	36	40
5	36	40

end0.0ms (0%)

sample1.7s (20.5%)

Algorithm

1×

intervals

Results

469.0ms	8000×	body	128	valid
75.0ms	2145×	body	128	invalid

Compiler

Compiled 770 to 616 computations (20% saved)

Iter	Nodes	Cost
0	9	13
1	15	13
2	30	13
3	57	13
4	114	13
5	185	13
6	304	13
7	504	13
8	754	13
9	848	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13

Iter	Nodes	Cost
0	9	13
1	15	13
2	30	13
3	57	13
4	114	13
5	185	13
6	304	13
7	504	13
8	754	13
9	848	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13

Details

analyze1.1s (13.8%)

sample26.0ms (0.3%)

simplify60.0ms (0.7%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite82.0ms (1%)

series875.0ms (10.8%)

simplify85.0ms (1.1%)

prune62.0ms (0.8%)

localize10.0ms (0.1%)

rewrite168.0ms (2.1%)

series1.2s (14.2%)

simplify125.0ms (1.5%)

prune99.0ms (1.2%)

localize9.0ms (0.1%)

rewrite54.0ms (0.7%)

series713.0ms (8.8%)

simplify78.0ms (1%)

prune51.0ms (0.6%)

localize7.0ms (0.1%)

rewrite143.0ms (1.8%)

series727.0ms (9%)

simplify161.0ms (2%)

prune80.0ms (1%)

regimes506.0ms (6.2%)

bsearch47.0ms (0.6%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.7s (20.5%)

Profiling

Iter	Nodes	Cost
0	9	13
1	15	13
2	30	13
3	57	13
4	114	13
5	185	13
6	304	13
7	504	13
8	754	13
9	848	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13