Details

analyze929.0ms (12.1%)

Algorithm

1×

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
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
18.4%	81.3%	0.2%	13
29.5%	70.3%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample24.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	15×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify648.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

870×	`associate-/l/_binary64_10937`
743×	`associate-/l*_binary64_10935`
703×	`times-frac_binary64_10996`
246×	`cancel-sign-sub-inv_binary64_10956`
229×	`div-sub_binary64_10995`
181×	`distribute-rgt-out_binary64_10943`
132×	`distribute-rgt-out--_binary64_10944`
116×	`associate-/r/_binary64_10936`
113×	`distribute-rgt-in_binary64_10940`
93×	`sub-neg_binary64_10983`
84×	`distribute-lft-out_binary64_10941`
81×	`distribute-lft-in_binary64_10939`
69×	`distribute-lft-out--_binary64_10942`
45×	`unsub-neg_binary64_10984`
43×	`distribute-frac-neg_binary64_10953`
39×	`neg-mul-1_binary64_10986`
34×	`neg-sub0_binary64_10985` `distribute-neg-in_binary64_10951`
31×	`distribute-rgt-neg-in_binary64_10948` `distribute-lft-neg-in_binary64_10947`
29×	`distribute-neg-frac_binary64_10954`
24×	`distribute-rgt-neg-out_binary64_10950` `distribute-lft-neg-out_binary64_10949` `*-commutative_binary64_10921`
21×	`+-commutative_binary64_10920`
18×	`associate-+r-_binary64_10924`
17×	`associate-/r*_binary64_10934`
15×	`associate--r+_binary64_10926` `associate-+l-_binary64_10925`
11×	`distribute-rgt1-in_binary64_10946` `associate-r_binary64_10930`
10×	`sub0-neg_binary64_10977` `associate-+l+_binary64_10923` `associate-+r+_binary64_10922`
9×	`+-rgt-identity_binary64_10975` `div0_binary64_10971`
7×	`associate-l/_binary64_10933` `associate-l*_binary64_10931`
5×	`swap-sqr_binary64_10957` `associate-*r/_binary64_10932`
4×	`remove-double-neg_binary64_10978` `--rgt-identity_binary64_10976`
3×	`sqr-neg_binary64_11004` `mul0-lft_binary64_10972` `*-inverses_binary64_10970` `distribute-neg-out_binary64_10952` `distribute-lft1-in_binary64_10945` `count-2_binary64_10938` `associate--r-_binary64_10929`
2×	`+-lft-identity_binary64_10974` `mul0-rgt_binary64_10973` `associate--l+_binary64_10927`
1×	`1-exp_binary64_11034` `mul-1-neg_binary64_10982` `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` `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` `rem-sqrt-square_binary64_11003` `rem-square-sqrt_binary64_11002` `/-rgt-identity_binary64_10981` `-rgt-identity_binary64_10980` `-lft-identity_binary64_10979` `+-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` `cancel-sign-sub_binary64_10955`

Counts

1 → 3

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	18	16
2	40	16
3	78	16
4	146	16
5	265	16
6	632	16

prune14.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	0	3	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

Counts

4 → 3

Compiler

Compiled 66 to 46 computations (30.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 a z) (-.f64 y z))
2.3b	(/.f64 t (/.f64 (-.f64 a z) (-.f64 y z)))

rewrite239.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

218×	`times-frac_binary64_10996`
194×	`add-sqr-sqrt_binary64_11012` `*-un-lft-identity_binary64_10990`
90×	`add-cube-cbrt_binary64_11025`
52×	`difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942`
36×	`associate-/r*_binary64_10934`
11×	`associate-/r/_binary64_10936`
9×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
8×	`associate-/l*_binary64_10935`
6×	`div-inv_binary64_10987` `flip3--_binary64_10994` `flip--_binary64_10965`
4×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024`
2×	`pow1_binary64_11051` `add-log-exp_binary64_11029` `frac-2neg_binary64_11001` `clear-num_binary64_10989` `associate-/l/_binary64_10937`
1×	`div-sub_binary64_10995`

Counts

2 → 194

Calls

2 calls:

13.0ms	(/.f64 t (/.f64 (-.f64 a z) (-.f64 y z)))
8.0ms	(/.f64 (-.f64 a z) (-.f64 y z))

Compiler

Compiled 4537 to 1005 computations (77.8% saved)

series626.0ms (8.2%)

Error

Counts

2 → 42

Calls

2 calls:

346.0ms	(/.f64 t (/.f64 (-.f64 a z) (-.f64 y z)))
243.0ms	(/.f64 (-.f64 a z) (-.f64 y z))

Compiler

Compiled 2019 to 1306 computations (35.3% saved)

simplify452.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

388×	`distribute-rgt-in_binary64_10940`
362×	`distribute-lft-in_binary64_10939`
258×	`associate-/r/_binary64_10936`
247×	`associate-/l*_binary64_10935`
236×	`associate-/l/_binary64_10937`
158×	`associate-*l/_binary64_10933`
155×	`*-commutative_binary64_10921`
151×	`cancel-sign-sub-inv_binary64_10956`
142×	`sub-neg_binary64_10983`
125×	`associate--l+_binary64_10927`
113×	`times-frac_binary64_10996`
106×	`div-sub_binary64_10995`
93×	`associate-+l+_binary64_10923`
79×	`associate--r+_binary64_10926`
78×	`associate-*r/_binary64_10932`
72×	`associate-/r*_binary64_10934`
65×	`*-rgt-identity_binary64_10980`
60×	`/-rgt-identity_binary64_10981`
57×	`associate-r_binary64_10930` `+-commutative_binary64_10920`
56×	`distribute-neg-frac_binary64_10954`
55×	`associate-+l-_binary64_10925`
54×	`neg-sub0_binary64_10985`
53×	`distribute-lft-neg-out_binary64_10949`
51×	`distribute-rgt-neg-out_binary64_10950` `associate-+r-_binary64_10924`
49×	`neg-mul-1_binary64_10986`
43×	`distribute-rgt-neg-in_binary64_10948`
42×	`associate-l_binary64_10931`
40×	`distribute-lft-neg-in_binary64_10947`
27×	`distribute-neg-in_binary64_10951`
26×	`sqr-pow_binary64_10962`
22×	`unsub-neg_binary64_10984`
18×	`log-div_binary64_11077`
17×	`*-lft-identity_binary64_10979`
16×	`div-exp_binary64_11041` `prod-exp_binary64_11039` `distribute-rgt-out_binary64_10943`
12×	`unswap-sqr_binary64_10958`
11×	`log-prod_binary64_11076` `pow-sqr_binary64_10963`
10×	`distribute-rgt-out--_binary64_10944` `associate-+r+_binary64_10922`
9×	`cube-div_binary64_11019` `distribute-rgt1-in_binary64_10946` `associate--r-_binary64_10929`
8×	`swap-sqr_binary64_10957` `distribute-lft-out_binary64_10941`
7×	`pow-plus_binary64_11053` `cube-unmult_binary64_11027` `difference-of-squares_binary64_10959`
6×	`exp-prod_binary64_11042` `cube-prod_binary64_11018` `mul-1-neg_binary64_10982` `distribute-lft-out--_binary64_10942`
5×	`associate--l-_binary64_10928`
4×	`rec-exp_binary64_11040` `exp-sum_binary64_11036` `remove-double-div_binary64_10966`
3×	`unpow2_binary64_11055` `unpow1_binary64_11048` `remove-double-neg_binary64_10978`
2×	`unpow3_binary64_11056` `exp-diff_binary64_11038` `cube-mult_binary64_11020` `div0_binary64_10971` `*-inverses_binary64_10970`
1×	`log-pow_binary64_11079` `log-rec_binary64_11078` `1-exp_binary64_11034` `rem-log-exp_binary64_11031` `distribute-lft1-in_binary64_10945` `count-2_binary64_10938`
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` `pow-base-0_binary64_11074` `unpow1/3_binary64_11057` `unpow1/2_binary64_11054` `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` `exp-neg_binary64_11037` `e-exp-1_binary64_11035` `exp-1-e_binary64_11033` `exp-0_binary64_11032` `rem-exp-log_binary64_11030` `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` `sub0-neg_binary64_10977` `--rgt-identity_binary64_10976` `+-rgt-identity_binary64_10975` `+-lft-identity_binary64_10974` `mul0-rgt_binary64_10973` `mul0-lft_binary64_10972` `+-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-frac-neg_binary64_10953` `distribute-neg-out_binary64_10952`

Counts

236 → 762

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	349	5786
1	817	5615
2	3174	5500

prune739.0ms (9.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	762	0	762
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	762	3	765

Error

Counts

765 → 3

Compiler

Compiled 19141 to 2646 computations (86.2% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

13.1b

(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))

rewrite172.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

185×	`times-frac_binary64_10996`
151×	`add-sqr-sqrt_binary64_11012` `*-un-lft-identity_binary64_10990`
75×	`add-cube-cbrt_binary64_11025`
38×	`difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942`
19×	`associate-/r*_binary64_10934`
7×	`div-inv_binary64_10987`
6×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
5×	`associate-/l*_binary64_10935`
3×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024`
2×	`associate-/l/_binary64_10937`
1×	`pow1_binary64_11051` `add-log-exp_binary64_11029` `frac-2neg_binary64_11001` `div-sub_binary64_10995` `clear-num_binary64_10989` `flip3--_binary64_10994` `flip--_binary64_10965` `associate-/r/_binary64_10936`

Counts

1 → 137

Calls

1 calls:

12.0ms

(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))

Compiler

Compiled 3310 to 718 computations (78.3% saved)

series362.0ms (4.7%)

Error

Counts

1 → 21

Calls

1 calls:

345.0ms

(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))

Compiler

Compiled 962 to 596 computations (38% saved)

simplify365.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

473×	`associate-/r*_binary64_10934`
456×	`*-commutative_binary64_10921`
366×	`associate-l_binary64_10931`
352×	`associate-r_binary64_10930`
303×	`associate-/r/_binary64_10936`
254×	`div-sub_binary64_10995`
187×	`associate-/l*_binary64_10935`
174×	`distribute-lft-in_binary64_10939`
171×	`associate-/l/_binary64_10937`
167×	`distribute-rgt-in_binary64_10940`
134×	`cancel-sign-sub-inv_binary64_10956`
129×	`associate-*l/_binary64_10933`
118×	`sub-neg_binary64_10983`
99×	`+-commutative_binary64_10920`
81×	`times-frac_binary64_10996` `associate-*r/_binary64_10932`
75×	`distribute-neg-frac_binary64_10954`
69×	`neg-sub0_binary64_10985`
66×	`neg-mul-1_binary64_10986` `distribute-rgt-neg-in_binary64_10948`
64×	`distribute-lft-neg-in_binary64_10947`
44×	`/-rgt-identity_binary64_10981`
41×	`*-rgt-identity_binary64_10980` `associate--l+_binary64_10927`
37×	`associate-+l+_binary64_10923`
26×	`associate-+r+_binary64_10922`
25×	`associate-+l-_binary64_10925`
24×	`associate-+r-_binary64_10924`
19×	`associate--r+_binary64_10926`
16×	`div-exp_binary64_11041` `prod-exp_binary64_11039`
13×	`log-div_binary64_11077` `sqr-pow_binary64_10962`
12×	`unswap-sqr_binary64_10958` `distribute-rgt-out--_binary64_10944`
11×	`distribute-neg-in_binary64_10951`
10×	`distribute-lft-neg-out_binary64_10949`
9×	`exp-prod_binary64_11042` `distribute-rgt-neg-out_binary64_10950`
8×	`unsub-neg_binary64_10984`
7×	`distribute-lft-out_binary64_10941`
6×	`cube-unmult_binary64_11027` `cube-div_binary64_11019` `*-lft-identity_binary64_10979` `swap-sqr_binary64_10957` `distribute-rgt-out_binary64_10943` `distribute-lft-out--_binary64_10942` `associate--r-_binary64_10929`
5×	`log-prod_binary64_11076` `pow-sqr_binary64_10963`
4×	`rec-exp_binary64_11040` `exp-sum_binary64_11036` `cube-prod_binary64_11018` `mul-1-neg_binary64_10982`
3×	`remove-double-div_binary64_10966` `distribute-rgt1-in_binary64_10946`
2×	`unpow2_binary64_11055` `unpow1_binary64_11048` `exp-diff_binary64_11038` `remove-double-neg_binary64_10978` `*-inverses_binary64_10970` `associate--l-_binary64_10928`
1×	`log-pow_binary64_11079` `log-rec_binary64_11078` `pow-plus_binary64_11053` `1-exp_binary64_11034` `rem-log-exp_binary64_11031` `sub0-neg_binary64_10977` `count-2_binary64_10938`
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` `pow-base-0_binary64_11074` `unpow1/3_binary64_11057` `unpow3_binary64_11056` `unpow1/2_binary64_11054` `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` `exp-neg_binary64_11037` `e-exp-1_binary64_11035` `exp-1-e_binary64_11033` `exp-0_binary64_11032` `rem-exp-log_binary64_11030` `cube-mult_binary64_11020` `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` `--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_10969` `lft-mult-inverse_binary64_10968` `rgt-mult-inverse_binary64_10967` `difference-of-sqr--1_binary64_10961` `difference-of-sqr-1_binary64_10960` `difference-of-squares_binary64_10959` `cancel-sign-sub_binary64_10955` `distribute-frac-neg_binary64_10953` `distribute-neg-out_binary64_10952` `distribute-lft1-in_binary64_10945`

Counts

158 → 610

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	4423
1	756	4186
2	2384	4129

prune581.0ms (7.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	610	0	610
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	610	3	613

Error

Counts

613 → 3

Compiler

Compiled 15380 to 1910 computations (87.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 t (-.f64 a z))
13.0b	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))

rewrite97.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`add-sqr-sqrt_binary64_11012`
38×	`*-un-lft-identity_binary64_10990`
31×	`times-frac_binary64_10996`
22×	`add-cube-cbrt_binary64_11025`
21×	`associate-r_binary64_10930`
9×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
8×	`difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942`
5×	`associate-l_binary64_10931` `associate-/r*_binary64_10934`
4×	`pow1_binary64_11051` `flip3--_binary64_10994` `flip--_binary64_10965` `associate-/r/_binary64_10936`
3×	`associate-/l*_binary64_10935`
2×	`div-exp_binary64_11041` `prod-exp_binary64_11039` `add-log-exp_binary64_11029` `cbrt-unprod_binary64_11023` `cbrt-undiv_binary64_11024` `frac-times_binary64_11000` `unswap-sqr_binary64_10958` `associate-*l/_binary64_10933` `div-inv_binary64_10987`
1×	`pow-prod-down_binary64_11061` `associate-r/_binary64_10932` `-commutative_binary64_10921` `frac-2neg_binary64_11001` `clear-num_binary64_10989`

Counts

2 → 83

Calls

2 calls:

14.0ms	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))
5.0ms	(/.f64 t (-.f64 a z))

Compiler

Compiled 1622 to 406 computations (75% saved)

series476.0ms (6.2%)

Error

Counts

2 → 33

Calls

2 calls:

341.0ms	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))
111.0ms	(/.f64 t (-.f64 a z))

Compiler

Compiled 1424 to 909 computations (36.2% saved)

simplify186.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

511×	`associate-/l*_binary64_10935`
460×	`associate-*l/_binary64_10933`
421×	`times-frac_binary64_10996`
279×	`distribute-rgt-in_binary64_10940`
269×	`distribute-lft-in_binary64_10939`
251×	`associate-/l/_binary64_10937`
205×	`associate-/r/_binary64_10936`
182×	`associate-/r*_binary64_10934`
103×	`cancel-sign-sub-inv_binary64_10956`
83×	`associate-l_binary64_10931`
82×	`div-sub_binary64_10995`
71×	`associate-r_binary64_10930`
68×	`sub-neg_binary64_10983`
65×	`associate-*r/_binary64_10932`
60×	`*-commutative_binary64_10921`
35×	`+-commutative_binary64_10920`
32×	`distribute-rgt-neg-out_binary64_10950` `distribute-lft-neg-out_binary64_10949`
31×	`distribute-rgt-neg-in_binary64_10948`
30×	`sqr-pow_binary64_10962`
29×	`*-rgt-identity_binary64_10980` `distribute-lft-neg-in_binary64_10947`
28×	`distribute-neg-frac_binary64_10954`
26×	`neg-sub0_binary64_10985`
23×	`*-lft-identity_binary64_10979` `associate--l+_binary64_10927`
22×	`neg-mul-1_binary64_10986`
15×	`log-div_binary64_11077`
14×	`log-prod_binary64_11076`
12×	`/-rgt-identity_binary64_10981`
11×	`pow-sqr_binary64_10963` `difference-of-squares_binary64_10959` `associate-+l+_binary64_10923`
10×	`exp-prod_binary64_11042` `associate--r+_binary64_10926`
9×	`div-exp_binary64_11041` `prod-exp_binary64_11039` `unsub-neg_binary64_10984`
8×	`distribute-neg-in_binary64_10951`
6×	`pow-plus_binary64_11053` `exp-sum_binary64_11036` `cube-unmult_binary64_11027` `cube-div_binary64_11019` `mul-1-neg_binary64_10982` `distribute-lft-out--_binary64_10942` `distribute-lft-out_binary64_10941`
5×	`cube-prod_binary64_11018` `swap-sqr_binary64_10957` `distribute-rgt-out--_binary64_10944` `distribute-rgt-out_binary64_10943`
4×	`unswap-sqr_binary64_10958` `distribute-rgt1-in_binary64_10946` `associate-+r+_binary64_10922`
3×	`unpow3_binary64_11056` `rec-exp_binary64_11040` `exp-diff_binary64_11038` `cube-mult_binary64_11020`
2×	`log-rec_binary64_11078` `unpow2_binary64_11055` `unpow1_binary64_11048` `*-inverses_binary64_10970`
1×	`exp-sqrt_binary64_11043` `1-exp_binary64_11034` `exp-1-e_binary64_11033` `rem-log-exp_binary64_11031` `remove-double-neg_binary64_10978` `div0_binary64_10971` `associate--r-_binary64_10929` `associate-+l-_binary64_10925` `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` `unpow1/2_binary64_11054` `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-neg_binary64_11037` `e-exp-1_binary64_11035` `exp-0_binary64_11032` `rem-exp-log_binary64_11030` `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` `sub0-neg_binary64_10977` `--rgt-identity_binary64_10976` `+-rgt-identity_binary64_10975` `+-lft-identity_binary64_10974` `mul0-rgt_binary64_10973` `mul0-lft_binary64_10972` `+-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-lft1-in_binary64_10945` `count-2_binary64_10938` `associate--l-_binary64_10928`

Counts

116 → 164

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	1937
1	430	1826
2	1572	1682

prune133.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	164	3	167

Error

Counts

167 → 3

Compiler

Compiled 3078 to 559 computations (81.8% saved)

regimes360.0ms (4.7%)

Accuracy

Total 0.2b remaining (95%)

Threshold costs 0.2b (95%)

Compiler

Compiled 1618 to 1733 computations (-7.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64_10920`
3×	`sub-neg_binary64_10983` `*-commutative_binary64_10921`
1×	`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-not_binary64_11248` `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	24	84
1	32	84
2	38	84
3	40	84
4	41	84

Proof

(if real (<= f64 (/ f64 (* f64 (- f64 h0 h1) h2) (- f64 h3 h1)) h4) (+ f64 h5 (* f64 (- f64 h0 h1) (/ f64 h2 (- f64 h3 h1)))) (if real (<= f64 (/ f64 (* f64 (- f64 h0 h1) h2) (- f64 h3 h1)) 16768013427489210176761085969548068955506835181885431816994557619446387037183770269130413711821824823639708881825007209892271227213840602914119472044232236621822426809801645741368654506550951891730221632609123917942311751758732708449332434698380227766593026050128494856760639020123900984148668255830016) (=> (+ f64 h5 (/ f64 (* f64 (- f64 h0 h1) h2) (- f64 h3 h1)))) (+ f64 h5 (/ f64 h2 (/ f64 (- f64 h3 h1) (- f64 h0 h1))))))
+-commutative_binary64_10920 =>
(if real (<= f64 (/ f64 (* f64 (- f64 h0 h1) h2) (- f64 h3 h1)) h4) (+ f64 h5 (* f64 (- f64 h0 h1) (/ f64 h2 (- f64 h3 h1)))) (if real (<= f64 (/ f64 (* f64 (- f64 h0 h1) h2) (- f64 h3 h1)) 16768013427489210176761085969548068955506835181885431816994557619446387037183770269130413711821824823639708881825007209892271227213840602914119472044232236621822426809801645741368654506550951891730221632609123917942311751758732708449332434698380227766593026050128494856760639020123900984148668255830016) (+ f64 (/ f64 (* f64 (- f64 h0 h1) h2) (- f64 h3 h1)) h5) (+ f64 h5 (/ f64 h2 (/ f64 (- f64 h3 h1) (- f64 h0 h1))))))

end0.0ms (0%)

sample1.2s (16.1%)

Algorithm

1×

intervals

Results

303.0ms	7997×	body	128	valid
24.0ms	719×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 334 to 292 computations (12.6% saved)

Details

analyze929.0ms (12.1%)

sample24.0ms (0.3%)

simplify648.0ms (8.5%)

prune14.0ms (0.2%)

localize8.0ms (0.1%)

rewrite239.0ms (3.1%)

series626.0ms (8.2%)

simplify452.0ms (5.9%)

prune739.0ms (9.6%)

localize8.0ms (0.1%)

rewrite172.0ms (2.2%)

series362.0ms (4.7%)

simplify365.0ms (4.8%)

prune581.0ms (7.6%)

localize8.0ms (0.1%)

rewrite97.0ms (1.3%)

series476.0ms (6.2%)

simplify186.0ms (2.4%)

prune133.0ms (1.7%)

regimes360.0ms (4.7%)

bsearch1.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample1.2s (16.1%)

Profiling