Details

analyze813.0ms (7.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

672×	`neg-mul-1_binary64_74`
661×	`associate-/l*_binary64_23`
602×	`div-sub_binary64_83`
582×	`sub-neg_binary64_71`
559×	`neg-sub0_binary64_73`
522×	`associate-/r*_binary64_22`
472×	`distribute-neg-frac_binary64_42`
307×	`distribute-rgt-neg-in_binary64_36`
294×	`remove-double-neg_binary64_66`
276×	`cancel-sign-sub-inv_binary64_44`
274×	`unsub-neg_binary64_72`
264×	`distribute-rgt-neg-out_binary64_38`
246×	`distribute-lft-neg-out_binary64_37`
207×	`distribute-frac-neg_binary64_41`
193×	`distribute-rgt-in_binary64_28`
138×	`distribute-neg-in_binary64_39`
132×	`associate-*l/_binary64_21`
120×	`times-frac_binary64_84` `associate-/r/_binary64_24` `+-commutative_binary64_8`
116×	`associate--r+_binary64_14`
103×	`cancel-sign-sub_binary64_43`
89×	`distribute-lft-in_binary64_27`
83×	`associate-+l-_binary64_13`
80×	`associate-/l/_binary64_25`
77×	`*-commutative_binary64_9`
74×	`sub0-neg_binary64_65`
64×	`distribute-lft-neg-in_binary64_35`
59×	`*-lft-identity_binary64_67`
51×	`/-rgt-identity_binary64_69`
48×	`distribute-neg-out_binary64_40`
46×	`+-lft-identity_binary64_62`
45×	`associate--r-_binary64_17`
44×	`associate-+r-_binary64_12`
42×	`associate-+r+_binary64_10`
39×	`associate-*r/_binary64_20`
36×	`+-rgt-identity_binary64_63` `distribute-lft-out_binary64_29` `associate--l-_binary64_16`
35×	`distribute-lft-out--_binary64_30`
33×	`div0_binary64_59`
28×	`--rgt-identity_binary64_64`
24×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60` `distribute-rgt-out--_binary64_32`
23×	`associate-r_binary64_18`
22×	`associate--l+_binary64_15`
19×	`*-rgt-identity_binary64_68`
16×	`distribute-rgt-out_binary64_31`
15×	`associate-l_binary64_19` `associate-+l+_binary64_11`
11×	`remove-double-div_binary64_54`
6×	`swap-sqr_binary64_45`
3×	`sqr-neg_binary64_92`
1×	`1-exp_binary64_122`
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` `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` `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` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `count-2_binary64_26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	232
1	139	224
2	334	224
3	735	216
4	1181	216
5	2045	216
6	4000	216
7	4200	216
8	4338	216
9	4371	216
10	4409	216
11	4447	216
12	4751	216
13	4943	216
14	4879	216
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
18.7%	81.1%	0.1%	6
26.5%	67.1%	6.4%	7
35.1%	58.5%	6.4%	8
41.3%	49.9%	8.7%	9
46.4%	40.2%	13.4%	10
50.8%	34.2%	15%	11
55.2%	26.7%	18.1%	12
57.4%	22%	20.6%	13
59.8%	17.9%	22.3%	14

Compiler

Compiled 39 to 27 computations (30.8% saved)

sample40.0ms (0.4%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
1.0ms	16×	body	128	nan
1.0ms	15×	body	128	invalid

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify471.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1235×	`div-sub_binary64_83`
1049×	`associate-/r*_binary64_22`
840×	`sub-neg_binary64_71`
758×	`distribute-neg-frac_binary64_42`
747×	`distribute-rgt-in_binary64_28`
535×	`distribute-lft-in_binary64_27`
512×	`times-frac_binary64_84`
482×	`unsub-neg_binary64_72`
476×	`associate-/l/_binary64_25`
440×	`cancel-sign-sub-inv_binary64_44`
433×	`*-commutative_binary64_9`
430×	`associate-/l*_binary64_23`
335×	`associate-/r/_binary64_24`
316×	`distribute-rgt-neg-in_binary64_36`
299×	`neg-mul-1_binary64_74`
285×	`associate-*l/_binary64_21`
264×	`distribute-lft-neg-in_binary64_35`
225×	`neg-sub0_binary64_73`
193×	`associate--r+_binary64_14`
168×	`+-commutative_binary64_8`
143×	`distribute-rgt-neg-out_binary64_38`
120×	`distribute-frac-neg_binary64_41`
116×	`distribute-lft-neg-out_binary64_37`
113×	`div0_binary64_59`
102×	`distribute-neg-in_binary64_39`
100×	`distribute-rgt-out_binary64_31`
99×	`*-lft-identity_binary64_67`
86×	`mul0-rgt_binary64_61`
84×	`mul0-lft_binary64_60`
79×	`distribute-rgt-out--_binary64_32`
56×	`associate-r_binary64_18`
53×	`+-lft-identity_binary64_62`
52×	`associate-*r/_binary64_20`
48×	`associate-l_binary64_19`
41×	`associate--l-_binary64_16`
40×	`remove-double-div_binary64_54`
38×	`/-rgt-identity_binary64_69`
37×	`remove-double-neg_binary64_66`
36×	`associate--l+_binary64_15`
33×	`distribute-neg-out_binary64_40`
28×	`associate-+l-_binary64_13`
26×	`*-rgt-identity_binary64_68`
24×	`associate--r-_binary64_17`
23×	`sub0-neg_binary64_65`
20×	`associate-+r-_binary64_12`
11×	`associate-+r+_binary64_10`
8×	`associate-+l+_binary64_11`
7×	`--rgt-identity_binary64_64`
6×	`distribute-lft-out_binary64_29`
5×	`+-rgt-identity_binary64_63`
4×	`cancel-sign-sub_binary64_43`
2×	`mul-1-neg_binary64_70` `swap-sqr_binary64_45`
1×	`1-exp_binary64_122` `sqr-neg_binary64_92` `distribute-lft-out--_binary64_30`
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` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `*-inverses_binary64_58` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `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` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `count-2_binary64_26`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	46	56
2	115	56
3	254	54
4	390	54
5	634	54
6	1094	54
7	1295	54
8	1565	54
9	2094	54
10	3307	54
11	2764	54
12	2816	54
13	2784	54
14	2798	54
15	3066	54
16	3176	54
17	3214	54
18	3234	54
19	3236	54
20	3236	54
21	3756	54
22	3974	54
23	4072	54
24	4090	54
25	3986	54
26	3986	54
27	4234	54
28	4178	54
29	4406	54
30	4558	54
31	4634	54
32	4666	54
33	4754	54
34	4834	54
35	4930	54
36	4687	54

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

19.4b

Counts

2 → 1

Compiler

Compiled 72 to 50 computations (30.6% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
1.7b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite161.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

19.4b

Rules

13×	`add-sqr-sqrt_binary64_100`
11×	`*-un-lft-identity_binary64_78`
8×	`add-log-exp_binary64_117`
7×	`add-cube-cbrt_binary64_113` `sqrt-prod_binary64_94`
6×	`pow1_binary64_139`
4×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `sqrt-div_binary64_95`
3×	`flip3--_binary64_82` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`
2×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `difference-of-squares_binary64_47`
1×	`sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `distribute-lft-out_binary64_29` `+-commutative_binary64_8` `diff-log_binary64_170` `sub-neg_binary64_71` `distribute-lft-out--_binary64_30`

Counts

4 → 59

Calls

4 calls:

12.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
7.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2821 to 1660 computations (41.2% saved)

series802.0ms (7.3%)

Error

6.2b

Counts

4 → 58

Calls

4 calls:

198.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
178.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
174.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
163.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 5641 to 3870 computations (31.4% saved)

simplify154.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

674×	`associate-l_binary64_19`
579×	`associate-r_binary64_18`
300×	`unswap-sqr_binary64_46`
190×	`times-frac_binary64_84`
161×	`cube-prod_binary64_106`
156×	`sub-neg_binary64_71`
144×	`cancel-sign-sub-inv_binary64_44`
125×	`distribute-rgt-neg-in_binary64_36`
120×	`*-commutative_binary64_9`
109×	`distribute-lft-neg-in_binary64_35`
100×	`associate-/l*_binary64_23`
99×	`neg-sub0_binary64_73`
93×	`neg-mul-1_binary64_74`
90×	`distribute-rgt-in_binary64_28`
86×	`unpow3_binary64_144` `associate-/r*_binary64_22`
79×	`distribute-lft-in_binary64_27`
72×	`unsub-neg_binary64_72`
66×	`+-commutative_binary64_8`
59×	`sqr-pow_binary64_50`
58×	`swap-sqr_binary64_45`
56×	`associate-+l+_binary64_11`
42×	`associate-*l/_binary64_21`
40×	`associate-+l-_binary64_13`
37×	`associate-+r+_binary64_10`
33×	`cube-mult_binary64_108` `difference-of-squares_binary64_47` `associate-+r-_binary64_12`
32×	`associate-*r/_binary64_20`
29×	`distribute-rgt-out_binary64_31`
25×	`exp-prod_binary64_130`
23×	`associate-/r/_binary64_24`
22×	`+-rgt-identity_binary64_63` `cancel-sign-sub_binary64_43`
21×	`exp-sum_binary64_124`
20×	`cube-unmult_binary64_115` `distribute-neg-frac_binary64_42`
19×	`sub0-neg_binary64_65`
18×	`pow-plus_binary64_141` `distribute-lft-neg-out_binary64_37`
16×	`associate--l+_binary64_15`
13×	`div-sub_binary64_83` `distribute-lft-out_binary64_29`
11×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60`
10×	`exp-diff_binary64_126`
9×	`distribute-neg-in_binary64_39` `associate--r+_binary64_14`
8×	`remove-double-neg_binary64_66`
7×	`distribute-rgt-neg-out_binary64_38` `associate--l-_binary64_16`
5×	`rem-sqrt-square_binary64_91` `pow-sqr_binary64_51` `distribute-rgt-out--_binary64_32` `associate-/l/_binary64_25`
3×	`log-prod_binary64_164` `unpow2_binary64_143` `unpow1_binary64_136` `associate--r-_binary64_17`
2×	`unpow1/2_binary64_142` `sqr-neg_binary64_92` `rem-square-sqrt_binary64_90` `mul-1-neg_binary64_70` `*-lft-identity_binary64_67` `+-inverses_binary64_57` `distribute-neg-out_binary64_40` `distribute-lft-out--_binary64_30`
1×	`div-exp_binary64_129` `prod-exp_binary64_127` `1-exp_binary64_122` `cube-neg_binary64_105` `rem-3cbrt-lft_binary64_103` `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` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `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` `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-div_binary64_107` `rem-3cbrt-rft_binary64_104` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `/-rgt-identity_binary64_69` `-rgt-identity_binary64_68` `--rgt-identity_binary64_64` `+-lft-identity_binary64_62` `div0_binary64_59` `-inverses_binary64_58` `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` `distribute-frac-neg_binary64_41` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33`

Counts

117 → 80

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	2043
1	303	1939
2	848	1909
3	3811	1909
4	4806	1909
5	4969	1909
6	4927	1909

prune172.0ms (1.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	6	81

Error

6.1b

Counts

81 → 6

Compiler

Compiled 3467 to 1974 computations (43.1% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite209.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

6.1b

Rules

12×	`add-sqr-sqrt_binary64_100` `sqrt-prod_binary64_94`
8×	`pow1_binary64_139` `add-cube-cbrt_binary64_113` `sqrt-div_binary64_95` `*-un-lft-identity_binary64_78`
4×	`pow1/2_binary64_158` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `sqrt-pow1_binary64_96` `flip3--_binary64_82` `flip--_binary64_53` `rem-sqrt-square_binary64_91`

Counts

4 → 60

Calls

4 calls:

5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 4340 to 2359 computations (45.6% saved)

series754.0ms (6.8%)

Error

6.1b

Counts

4 → 52

Calls

4 calls:

194.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
152.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
144.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
139.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 8500 to 5224 computations (38.5% saved)

simplify102.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

620×	`distribute-rgt-neg-in_binary64_36`
606×	`distribute-lft-neg-in_binary64_35`
593×	`associate-l_binary64_19`
572×	`cancel-sign-sub-inv_binary64_44`
498×	`associate-r_binary64_18`
400×	`neg-mul-1_binary64_74`
225×	`unswap-sqr_binary64_46`
138×	`times-frac_binary64_84`
133×	`distribute-neg-frac_binary64_42`
100×	`associate-/l*_binary64_23`
89×	`div-sub_binary64_83` `*-commutative_binary64_9`
73×	`neg-sub0_binary64_73`
64×	`distribute-lft-neg-out_binary64_37`
62×	`sub-neg_binary64_71`
57×	`distribute-rgt-neg-out_binary64_38`
55×	`cube-prod_binary64_106`
54×	`associate-/r*_binary64_22`
41×	`sqr-pow_binary64_50`
30×	`unpow3_binary64_144`
29×	`distribute-rgt-out_binary64_31` `associate-*r/_binary64_20`
24×	`associate-*l/_binary64_21`
21×	`cube-mult_binary64_108` `associate-/r/_binary64_24`
20×	`unsub-neg_binary64_72` `swap-sqr_binary64_45` `+-commutative_binary64_8`
19×	`difference-of-squares_binary64_47`
18×	`distribute-rgt-in_binary64_28`
17×	`distribute-lft-in_binary64_27`
14×	`cube-unmult_binary64_115`
12×	`pow-plus_binary64_141`
8×	`associate-+l-_binary64_13`
7×	`sub0-neg_binary64_65` `distribute-lft-out_binary64_29` `associate-+r-_binary64_12`
6×	`+-rgt-identity_binary64_63` `distribute-neg-in_binary64_39` `associate-+l+_binary64_11`
5×	`rem-sqrt-square_binary64_91` `associate-/l/_binary64_25`
4×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60` `associate-+r+_binary64_10`
3×	`unpow2_binary64_143` `unpow1_binary64_136` `mul-1-neg_binary64_70` `pow-sqr_binary64_51`
2×	`unpow1/2_binary64_142` `rem-square-sqrt_binary64_90` `associate--l+_binary64_15` `associate--r+_binary64_14`
1×	`1-exp_binary64_122` `distribute-rgt-out--_binary64_32`
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` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `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-div_binary64_107` `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` `/-rgt-identity_binary64_69` `-rgt-identity_binary64_68` `-lft-identity_binary64_67` `remove-double-neg_binary64_66` `--rgt-identity_binary64_64` `+-lft-identity_binary64_62` `div0_binary64_59` `*-inverses_binary64_58` `+-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-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `distribute-lft-out--_binary64_30` `count-2_binary64_26` `associate--r-_binary64_17` `associate--l-_binary64_16`

Counts

112 → 48

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	87	1718
1	178	1634
2	594	1634
3	2559	1634
4	4558	1634
5	4976	1634

prune147.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	48	6	54

Error

6.1b

Counts

54 → 6

Compiler

Compiled 3318 to 1836 computations (44.7% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))) a)
0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.7b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite162.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

6.1b

Rules

24×	`*-un-lft-identity_binary64_78`
15×	`add-sqr-sqrt_binary64_100`
14×	`add-cube-cbrt_binary64_113`
12×	`times-frac_binary64_84`
8×	`add-log-exp_binary64_117`
6×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
5×	`pow1_binary64_139` `distribute-lft-out_binary64_29`
4×	`associate-/l*_binary64_23`
3×	`sqrt-prod_binary64_94` `associate-/r*_binary64_22`
2×	`flip3--_binary64_82` `sqrt-div_binary64_95` `flip--_binary64_53` `flip3-+_binary64_81` `flip-+_binary64_52` `associate-/l/_binary64_25`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `sum-log_binary64_169` `+-commutative_binary64_8` `diff-log_binary64_170` `sub-neg_binary64_71` `cancel-sign-sub-inv_binary64_44` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75`

Counts

4 → 72

Calls

4 calls:

9.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))) a)
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 2917 to 1612 computations (44.7% saved)

series857.0ms (7.7%)

Error

6.1b

Counts

4 → 60

Calls

4 calls:

248.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
211.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))) a)
173.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
152.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 4241 to 2949 computations (30.5% saved)

simplify110.0ms (1%)

Algorithm

1×	egg-herbie

Rules

698×	`associate-l_binary64_19`
593×	`associate-r_binary64_18`
376×	`unswap-sqr_binary64_46`
248×	`times-frac_binary64_84`
195×	`associate-/l*_binary64_23`
143×	`associate-/r*_binary64_22`
141×	`*-commutative_binary64_9`
128×	`cancel-sign-sub-inv_binary64_44`
119×	`sub-neg_binary64_71`
117×	`exp-prod_binary64_130`
113×	`distribute-rgt-in_binary64_28`
105×	`distribute-rgt-neg-in_binary64_36`
104×	`distribute-lft-in_binary64_27`
96×	`distribute-lft-neg-in_binary64_35`
91×	`sqr-pow_binary64_50`
81×	`associate-*l/_binary64_21`
76×	`neg-sub0_binary64_73`
66×	`neg-mul-1_binary64_74`
64×	`associate-*r/_binary64_20`
60×	`cube-prod_binary64_106`
58×	`unsub-neg_binary64_72`
54×	`associate-/r/_binary64_24`
51×	`associate-/l/_binary64_25`
47×	`+-commutative_binary64_8`
36×	`div-sub_binary64_83`
30×	`exp-sum_binary64_124`
28×	`distribute-rgt-out_binary64_31` `associate-+l+_binary64_11`
27×	`difference-of-squares_binary64_47`
24×	`associate-+l-_binary64_13` `associate-+r-_binary64_12`
23×	`associate-+r+_binary64_10`
18×	`distribute-lft-neg-out_binary64_37`
16×	`+-rgt-identity_binary64_63`
14×	`sub0-neg_binary64_65`
13×	`pow-plus_binary64_141` `exp-diff_binary64_126` `pow-sqr_binary64_51` `distribute-lft-out_binary64_29`
12×	`cube-unmult_binary64_115`
11×	`unpow3_binary64_144` `distribute-neg-frac_binary64_42`
10×	`/-rgt-identity_binary64_69` `swap-sqr_binary64_45`
9×	`remove-double-neg_binary64_66` `associate--l+_binary64_15`
8×	`cube-mult_binary64_108` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `distribute-rgt-neg-out_binary64_38`
7×	`log-prod_binary64_164`
6×	`distribute-neg-in_binary64_39` `associate--l-_binary64_16`
5×	`unpow2_binary64_143` `cube-div_binary64_107` `rem-sqrt-square_binary64_91` `-rgt-identity_binary64_68` `-lft-identity_binary64_67`
4×	`log-div_binary64_165` `associate--r+_binary64_14`
3×	`unpow1/2_binary64_142` `unpow1_binary64_136` `mul-1-neg_binary64_70` `distribute-rgt-out--_binary64_32`
2×	`log-pow_binary64_167` `+-inverses_binary64_57` `distribute-lft-out--_binary64_30` `count-2_binary64_26` `associate--r-_binary64_17`
1×	`div-exp_binary64_129` `prod-exp_binary64_127` `exp-neg_binary64_125` `1-exp_binary64_122` `cube-neg_binary64_105` `sqr-neg_binary64_92` `rem-square-sqrt_binary64_90` `cancel-sign-sub_binary64_43` `distribute-neg-out_binary64_40`
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-rec_binary64_166` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `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` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `--rgt-identity_binary64_64` `+-lft-identity_binary64_62` `div0_binary64_59` `*-inverses_binary64_58` `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` `distribute-frac-neg_binary64_41` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33`

Counts

132 → 102

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	2636
1	363	2462
2	1016	2444
3	3992	2444
4	5024	2444

prune170.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	102	6	108

Error

6.1b

Counts

108 → 6

Compiler

Compiled 3546 to 1855 computations (47.7% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b))
0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite172.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

6.1b

Rules

21×	`add-sqr-sqrt_binary64_100`
14×	`*-un-lft-identity_binary64_78`
9×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
8×	`add-log-exp_binary64_117` `add-cube-cbrt_binary64_113`
6×	`sqrt-prod_binary64_94` `difference-of-squares_binary64_47` `times-frac_binary64_84` `associate-/r*_binary64_22`
5×	`pow1_binary64_139`
4×	`flip3--_binary64_82` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`
3×	`distribute-lft-out--_binary64_30`
2×	`sqrt-div_binary64_95` `diff-log_binary64_170` `sub-neg_binary64_71` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `associate-/r/_binary64_24`
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`

Counts

4 → 73

Calls

4 calls:

12.0ms	(/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 2883 to 1792 computations (37.8% saved)

series913.0ms (8.3%)

Error

6.1b

Counts

4 → 57

Calls

4 calls:

257.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
229.0ms	(/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b))
184.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
176.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 4077 to 3037 computations (25.5% saved)

simplify115.0ms (1%)

Algorithm

1×	egg-herbie

Rules

539×	`associate-/l*_binary64_23`
504×	`times-frac_binary64_84`
259×	`div-sub_binary64_83`
224×	`associate-/r*_binary64_22`
220×	`associate-*l/_binary64_21`
193×	`associate-/l/_binary64_25`
148×	`associate-*r/_binary64_20`
132×	`cancel-sign-sub-inv_binary64_44`
120×	`associate-/r/_binary64_24`
119×	`distribute-rgt-neg-in_binary64_36`
108×	`distribute-lft-neg-in_binary64_35`
106×	`exp-prod_binary64_130`
78×	`associate-l_binary64_19`
75×	`distribute-lft-in_binary64_27`
74×	`distribute-rgt-in_binary64_28`
73×	`sub-neg_binary64_71` `associate-r_binary64_18`
57×	`*-commutative_binary64_9`
54×	`cube-prod_binary64_106`
43×	`cube-div_binary64_107`
41×	`sqr-pow_binary64_50` `unswap-sqr_binary64_46`
40×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73`
34×	`distribute-neg-frac_binary64_42`
31×	`associate-+l-_binary64_13` `associate-+l+_binary64_11`
30×	`+-commutative_binary64_8`
28×	`associate-+r-_binary64_12`
27×	`distribute-rgt-out_binary64_31`
25×	`log-div_binary64_165`
24×	`exp-sum_binary64_124`
21×	`distribute-lft-neg-out_binary64_37`
20×	`unpow3_binary64_144`
17×	`*-rgt-identity_binary64_68`
15×	`swap-sqr_binary64_45`
14×	`log-prod_binary64_164` `exp-diff_binary64_126`
13×	`cube-mult_binary64_108`
12×	`distribute-lft-out_binary64_29`
10×	`associate--l-_binary64_16` `associate--l+_binary64_15` `associate--r+_binary64_14`
9×	`cube-unmult_binary64_115` `distribute-rgt-neg-out_binary64_38`
8×	`+-rgt-identity_binary64_63` `difference-of-squares_binary64_47`
7×	`pow-plus_binary64_141` `distribute-neg-in_binary64_39`
6×	`rem-sqrt-square_binary64_91`
5×	`unpow2_binary64_143` `associate-+r+_binary64_10`
4×	`unsub-neg_binary64_72` `pow-sqr_binary64_51` `distribute-rgt-out--_binary64_32`
3×	`unpow1/2_binary64_142` `unpow1_binary64_136` `associate--r-_binary64_17`
2×	`log-pow_binary64_167` `exp-lft-sqr_binary64_133` `div-exp_binary64_129` `sqr-neg_binary64_92` `rem-square-sqrt_binary64_90` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69`
1×	`log-rec_binary64_166` `prod-exp_binary64_127` `1-exp_binary64_122` `cube-neg_binary64_105` `rem-3cbrt-lft_binary64_103` `remove-double-neg_binary64_66` `div0_binary64_59` `cancel-sign-sub_binary64_43` `distribute-neg-out_binary64_40` `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` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `rec-exp_binary64_128` `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` `rem-3cbrt-rft_binary64_104` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `-lft-identity_binary64_67` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `-inverses_binary64_58` `+-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` `distribute-frac-neg_binary64_41` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33`

Counts

130 → 106

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	2660
1	401	2419
2	1299	2414
3	4587	2414
4	5359	2414

prune172.0ms (1.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	103	3	106
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	104	8	112

Error

6.1b

Counts

112 → 8

Compiler

Compiled 3342 to 1978 computations (40.8% saved)

regimes1.3s (11.4%)

Accuracy

Total 1.5b remaining (21%)

Threshold costs 0b (0%)

Compiler

Compiled 11734 to 8238 computations (29.8% saved)

bsearch88.0ms (0.8%)

Steps

Iters	Range		Point
6	3.925840718289623e+34	4.9712065153305895e+35	4.877596036237492e+35
9	-1.0371064045795493e+105	-3.226213951987132e+98	-9.765527520681057e+104

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64_9`
14×	`sub-neg_binary64_71` `+-commutative_binary64_8`
10×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73`
4×	`distribute-rgt-neg-in_binary64_36`
3×	`distribute-lft-neg-in_binary64_35`
2×	`cancel-sign-sub-inv_binary64_44` `distribute-neg-out_binary64_40`
1×	`1-exp_binary64_122` `unsub-neg_binary64_72` `distribute-frac-neg_binary64_41` `distribute-lft-neg-out_binary64_37`
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_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` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `unpow1_binary64_136` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `-rgt-identity_binary64_68` `-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` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-neg-in_binary64_39` `distribute-rgt-neg-out_binary64_38`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	153
1	64	153
2	86	153
3	106	153
4	121	153
5	128	153
6	129	153
7	128	153

end0.0ms (0%)

sample3.1s (28%)

Algorithm

1×

intervals

Results

675.0ms	8000×	body	128	valid
49.0ms	639×	body	128	nan
29.0ms	372×	body	128	invalid

Compiler

Compiled 3054 to 2139 computations (30% saved)

Details

analyze813.0ms (7.4%)

sample40.0ms (0.4%)

simplify471.0ms (4.3%)

prune6.0ms (0.1%)

localize22.0ms (0.2%)

rewrite161.0ms (1.5%)

series802.0ms (7.3%)

simplify154.0ms (1.4%)

prune172.0ms (1.6%)

localize31.0ms (0.3%)

rewrite209.0ms (1.9%)

series754.0ms (6.8%)

simplify102.0ms (0.9%)

prune147.0ms (1.3%)

localize22.0ms (0.2%)

rewrite162.0ms (1.5%)

series857.0ms (7.7%)

simplify110.0ms (1%)

prune170.0ms (1.5%)

localize22.0ms (0.2%)

rewrite172.0ms (1.6%)

series913.0ms (8.3%)

simplify115.0ms (1%)

prune172.0ms (1.6%)

regimes1.3s (11.4%)

bsearch88.0ms (0.8%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample3.1s (28%)

Profiling