Details

analyze755.0ms (6.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	74.9%	25.1%	8
0%	74.9%	25.1%	9
9.4%	65.5%	25.1%	10
9.4%	53%	37.6%	11
14%	48.4%	37.6%	12
16.4%	46%	37.6%	13
16.4%	39.8%	43.8%	14

Compiler

Compiled 28 to 21 computations (25% saved)

sample58.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	170×	body	128	valid
9.0ms	36×	body	1024	valid
8.0ms	21×	body	1024	nan
6.0ms	30×	body	512	valid
3.0ms	17×	body	512	nan
3.0ms	45×	body	128	nan
2.0ms	19×	body	256	valid
1.0ms	9×	body	256	nan
0.0ms	1×	body	2048	valid

Compiler

Compiled 55 to 44 computations (20% saved)

simplify228.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

521×	`associate-/l*_binary64_23`
487×	`div-sub_binary64_83`
330×	`distribute-rgt-neg-in_binary64_36`
264×	`distribute-neg-in_binary64_39`
225×	`distribute-lft-neg-in_binary64_35` `distribute-rgt-in_binary64_28`
202×	`distribute-neg-frac_binary64_42`
199×	`sub-neg_binary64_71`
195×	`associate-/r/_binary64_24`
194×	`associate-/r*_binary64_22`
183×	`distribute-lft-in_binary64_27`
122×	`associate-l_binary64_19`
121×	`associate-r_binary64_18`
117×	`times-frac_binary64_84`
113×	`associate-/l/_binary64_25`
101×	`neg-mul-1_binary64_74`
94×	`associate-+l+_binary64_11` `associate-+r+_binary64_10`
88×	`neg-sub0_binary64_73`
84×	`*-commutative_binary64_9`
82×	`distribute-rgt-out_binary64_31`
81×	`cancel-sign-sub-inv_binary64_44` `distribute-frac-neg_binary64_41`
78×	`distribute-lft-neg-out_binary64_37`
74×	`unsub-neg_binary64_72`
55×	`distribute-rgt-out--_binary64_32`
43×	`*-rgt-identity_binary64_68`
42×	`associate-*r/_binary64_20`
37×	`associate-*l/_binary64_21`
34×	`*-lft-identity_binary64_67` `+-commutative_binary64_8`
33×	`associate--r+_binary64_14`
31×	`distribute-rgt-neg-out_binary64_38`
25×	`+-rgt-identity_binary64_63`
22×	`distribute-lft-out_binary64_29`
20×	`+-lft-identity_binary64_62` `mul0-lft_binary64_60`
19×	`cancel-sign-sub_binary64_43`
18×	`mul0-rgt_binary64_61` `associate-+l-_binary64_13`
17×	`associate--l+_binary64_15` `associate-+r-_binary64_12`
16×	`/-rgt-identity_binary64_69`
15×	`div0_binary64_59`
11×	`sub0-neg_binary64_65`
10×	`remove-double-neg_binary64_66`
8×	`--rgt-identity_binary64_64`
5×	`associate--r-_binary64_17`
4×	`distribute-lft-out--_binary64_30`
3×	`distribute-neg-out_binary64_40` `distribute-rgt1-in_binary64_34`
2×	`distribute-lft1-in_binary64_33`
1×	`1-exp_binary64_122` `count-2_binary64_26`
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_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `log-pow_binary64_167` `log-rec_binary64_166` `log-div_binary64_165` `log-prod_binary64_164` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `unpow3_binary64_144` `unpow2_binary64_143` `unpow1/2_binary64_142` `pow-plus_binary64_141` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow1_binary64_136` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `exp-prod_binary64_130` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-diff_binary64_126` `exp-neg_binary64_125` `exp-sum_binary64_124` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-unmult_binary64_115` `cube-mult_binary64_108` `cube-div_binary64_107` `cube-prod_binary64_106` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `mul-1-neg_binary64_70` `*-inverses_binary64_58` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `pow-sqr_binary64_51` `sqr-pow_binary64_50` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `unswap-sqr_binary64_46` `swap-sqr_binary64_45` `associate--l-_binary64_16`

Counts

1 → 5

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	41
1	45	41
2	97	41
3	192	41
4	385	41
5	888	41
6	2284	41

prune18.0ms (0.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	1	4	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	4	6

Error

43.2b

Counts

6 → 4

Compiler

Compiled 243 to 160 computations (34.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l)))) t)
0.3b	(/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))))
12.4b	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
21.0b	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))

rewrite531.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

43.1b

Rules

85×	`sqrt-prod_binary64_94`
76×	`times-frac_binary64_84`
74×	`add-sqr-sqrt_binary64_100`
59×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
42×	`associate-l_binary64_19`
11×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
7×	`pow1_binary64_139`
6×	`add-log-exp_binary64_117` `sqrt-div_binary64_95` `associate-/l_binary64_23` `associate-/r_binary64_22`
5×	`unswap-sqr_binary64_46`
4×	`flip3--_binary64_82` `flip--_binary64_53` `associate-/r/_binary64_24`
3×	`associate-r_binary64_18`
2×	`associate--l+_binary64_15` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `div-inv_binary64_75` `prod-exp_binary64_127` `cbrt-unprod_binary64_111`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `diff-log_binary64_170` `sub-neg_binary64_71` `cancel-sign-sub-inv_binary64_44` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `sqrt-undiv_binary64_99` `frac-2neg_binary64_89` `clear-num_binary64_77` `pow-prod-down_binary64_149` `associate-l/_binary64_21` `-commutative_binary64_9`

Counts

4 → 156

Calls

4 calls:

28.0ms	(.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l)))) t)
18.0ms	(/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))))
15.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
15.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))

Compiler

Compiled 8171 to 4775 computations (41.6% saved)

series5.2s (46.5%)

Error

6.9b

Counts

4 → 70

Calls

4 calls:

1.8s	(.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l)))) t)
1.7s	(/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))))
799.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))
693.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))

Compiler

Compiled 13120 to 11033 computations (15.9% saved)

simplify628.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

384×	`times-frac_binary64_84`
350×	`associate-r_binary64_18`
332×	`associate-/r*_binary64_22`
316×	`associate-l_binary64_19`
289×	`associate-/l*_binary64_23`
218×	`associate-*r/_binary64_20`
212×	`associate-*l/_binary64_21`
165×	`*-commutative_binary64_9`
73×	`associate-/l/_binary64_25`
67×	`cancel-sign-sub-inv_binary64_44`
66×	`+-commutative_binary64_8`
61×	`sub-neg_binary64_71`
51×	`associate-/r/_binary64_24`
42×	`distribute-rgt-in_binary64_28`
41×	`unswap-sqr_binary64_46`
37×	`distribute-neg-in_binary64_39` `distribute-lft-in_binary64_27`
35×	`sqr-pow_binary64_50` `distribute-rgt-neg-in_binary64_36`
34×	`neg-sub0_binary64_73`
32×	`associate-+r+_binary64_10`
28×	`neg-mul-1_binary64_74`
27×	`distribute-lft-neg-in_binary64_35`
25×	`distribute-rgt-out_binary64_31`
12×	`pow-sqr_binary64_51`
11×	`mul-1-neg_binary64_70` `associate--l+_binary64_15`
10×	`unpow3_binary64_144` `associate--r+_binary64_14`
9×	`exp-prod_binary64_130` `cube-mult_binary64_108` `distribute-lft-out_binary64_29`
7×	`swap-sqr_binary64_45`
6×	`/-rgt-identity_binary64_69`
5×	`cube-unmult_binary64_115` `cube-prod_binary64_106` `distribute-neg-frac_binary64_42`
4×	`log-div_binary64_165` `log-prod_binary64_164`
3×	`unpow2_binary64_143` `pow-plus_binary64_141` `exp-sum_binary64_124` `cube-div_binary64_107` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `unsub-neg_binary64_72` `*-rgt-identity_binary64_68` `difference-of-squares_binary64_47` `distribute-lft-neg-out_binary64_37` `distribute-lft-out--_binary64_30`
2×	`div-sub_binary64_83` `*-inverses_binary64_58` `distribute-rgt-out--_binary64_32`
1×	`div-exp_binary64_129` `exp-diff_binary64_126` `1-exp_binary64_122` `*-lft-identity_binary64_67` `associate-+l-_binary64_13`
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_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `log-pow_binary64_167` `log-rec_binary64_166` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `unpow1/2_binary64_142` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow1_binary64_136` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-neg_binary64_125` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `+-rgt-identity_binary64_63` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `div0_binary64_59` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `cancel-sign-sub_binary64_43` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-rgt-neg-out_binary64_38` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `count-2_binary64_26` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate-+r-_binary64_12` `associate-+l+_binary64_11`

Counts

226 → 289

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	479	13249
1	1302	12507

prune1.1s (9.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	274	15	289
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	277	16	293

Error

3.0b

Counts

293 → 16

Compiler

Compiled 15964 to 9876 computations (38.1% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.3b	(+.f64 (/.f64 (.f64 t t) x) (.f64 (/.f64 t x) (/.f64 t x)))
4.6b	(+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (.f64 (/.f64 t x) (/.f64 t x)))) (.f64 2 (+.f64 (.f64 t t) (.f64 (/.f64 l x) (/.f64 l x)))))
9.8b	(/.f64 (*.f64 t t) x)
26.9b	(sqrt.f64 (+.f64 (.f64 2 (/.f64 l (/.f64 x l))) (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (.f64 (/.f64 t x) (/.f64 t x)))) (.f64 2 (+.f64 (.f64 t t) (*.f64 (/.f64 l x) (/.f64 l x)))))))

rewrite250.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

2.8b

Rules

57×	`associate-*r/_binary64_20`
47×	`frac-add_binary64_86`
18×	`flip3-+_binary64_81` `flip-+_binary64_52`
14×	`sqrt-div_binary64_95`
9×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
8×	`add-log-exp_binary64_117` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
7×	`add-cube-cbrt_binary64_113`
5×	`pow1_binary64_139` `frac-times_binary64_88` `associate-*l/_binary64_21`
4×	`times-frac_binary64_84`
3×	`sqrt-prod_binary64_94` `associate-/r*_binary64_22`
2×	`div-exp_binary64_129` `cbrt-undiv_binary64_112` `sum-log_binary64_169` `distribute-rgt-in_binary64_28` `associate-+l+_binary64_11` `distribute-lft-in_binary64_27` `associate-+r+_binary64_10` `+-commutative_binary64_8`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l*_binary64_23` `distribute-rgt-out_binary64_31`

Counts

4 → 88

Calls

4 calls:

21.0ms	(sqrt.f64 (+.f64 (.f64 2 (/.f64 l (/.f64 x l))) (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (.f64 (/.f64 t x) (/.f64 t x)))) (.f64 2 (+.f64 (.f64 t t) (*.f64 (/.f64 l x) (/.f64 l x)))))))
12.0ms	(+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (.f64 (/.f64 t x) (/.f64 t x)))) (.f64 2 (+.f64 (.f64 t t) (.f64 (/.f64 l x) (/.f64 l x)))))
7.0ms	(+.f64 (/.f64 (.f64 t t) x) (.f64 (/.f64 t x) (/.f64 t x)))
5.0ms	(/.f64 (*.f64 t t) x)

Compiler

Compiled 7395 to 1786 computations (75.8% saved)

series1.9s (17%)

Error

0.3b

Counts

4 → 56

Calls

4 calls:

1.0s	(sqrt.f64 (+.f64 (.f64 2 (/.f64 l (/.f64 x l))) (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (.f64 (/.f64 t x) (/.f64 t x)))) (.f64 2 (+.f64 (.f64 t t) (*.f64 (/.f64 l x) (/.f64 l x)))))))
458.0ms	(+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (.f64 (/.f64 t x) (/.f64 t x)))) (.f64 2 (+.f64 (.f64 t t) (.f64 (/.f64 l x) (/.f64 l x)))))
156.0ms	(+.f64 (/.f64 (.f64 t t) x) (.f64 (/.f64 t x) (/.f64 t x)))
80.0ms	(/.f64 (*.f64 t t) x)

Compiler

Compiled 9141 to 7167 computations (21.6% saved)

simplify452.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

359×	`distribute-rgt-in_binary64_28`
354×	`distribute-lft-in_binary64_27`
221×	`associate-*l/_binary64_21`
208×	`times-frac_binary64_84`
207×	`associate-*r/_binary64_20`
175×	`associate-/l*_binary64_23`
165×	`*-commutative_binary64_9`
162×	`associate-/r*_binary64_22`
99×	`+-commutative_binary64_8`
72×	`cancel-sign-sub-inv_binary64_44`
66×	`associate-r_binary64_18`
61×	`sqr-pow_binary64_50`
50×	`unswap-sqr_binary64_46` `distribute-rgt-out_binary64_31`
48×	`sub-neg_binary64_71`
46×	`distribute-rgt-neg-in_binary64_36`
45×	`associate-l_binary64_19`
39×	`distribute-lft-neg-in_binary64_35`
36×	`associate-+r+_binary64_10`
34×	`associate-/l/_binary64_25`
33×	`neg-sub0_binary64_73`
32×	`distribute-neg-in_binary64_39`
31×	`neg-mul-1_binary64_74`
24×	`pow-sqr_binary64_51`
20×	`unpow3_binary64_144`
17×	`cube-mult_binary64_108`
16×	`associate-/r/_binary64_24`
15×	`cube-prod_binary64_106`
12×	`cube-div_binary64_107` `swap-sqr_binary64_45` `distribute-neg-frac_binary64_42`
11×	`difference-of-squares_binary64_47` `distribute-lft-neg-out_binary64_37` `distribute-rgt-out--_binary64_32` `distribute-lft-out_binary64_29`
7×	`exp-prod_binary64_130`
5×	`log-div_binary64_165` `associate--l+_binary64_15` `associate--r+_binary64_14`
4×	`log-prod_binary64_164` `cube-unmult_binary64_115` `unsub-neg_binary64_72` `mul-1-neg_binary64_70` `associate-+r-_binary64_12`
3×	`unpow2_binary64_143` `pow-plus_binary64_141` `exp-sum_binary64_124` `*-rgt-identity_binary64_68`
2×	`prod-exp_binary64_127` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `/-rgt-identity_binary64_69`
1×	`exp-lft-sqr_binary64_133` `1-exp_binary64_122` `*-inverses_binary64_58` `distribute-lft-out--_binary64_30` `count-2_binary64_26`
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_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `log-pow_binary64_167` `log-rec_binary64_166` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `unpow1/2_binary64_142` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow1_binary64_136` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `div-exp_binary64_129` `rec-exp_binary64_128` `exp-diff_binary64_126` `exp-neg_binary64_125` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `div-sub_binary64_83` `*-lft-identity_binary64_67` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `+-rgt-identity_binary64_63` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `div0_binary64_59` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `cancel-sign-sub_binary64_43` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-rgt-neg-out_binary64_38` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate-+l-_binary64_13` `associate-+l+_binary64_11`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	483	10132
1	1507	8570

Details

analyze755.0ms (6.8%)

sample58.0ms (0.5%)

simplify228.0ms (2.1%)

prune18.0ms (0.2%)

localize16.0ms (0.1%)

rewrite531.0ms (4.8%)

series5.2s (46.5%)

simplify628.0ms (5.7%)

prune1.1s (9.8%)

localize24.0ms (0.2%)

rewrite250.0ms (2.3%)

series1.9s (17%)

simplify452.0ms (4.1%)

end0.0ms (0%)

Profiling