Details

analyze276.0ms (2%)

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
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
31.2%	64%	4.8%	9
31.2%	42.1%	26.7%	10
35.9%	37.1%	27.1%	11
38.2%	32.2%	29.6%	12
47.8%	21.6%	30.6%	13
50.2%	19%	30.8%	14

Compiler

Compiled 16 to 9 computations (43.8% saved)

sample18.0ms (0.1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	15×	body	128	invalid

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify543.0ms (4%)

Algorithm

1×	egg-herbie

Rules

703×	`exp-prod_binary64_14111`
516×	`exp-sum_binary64_14105`
505×	`sqr-pow_binary64_14031`
391×	`pow-sqr_binary64_14032`
350×	`distribute-rgt-in_binary64_14009`
272×	`pow-plus_binary64_14122`
195×	`associate-/r*_binary64_14003`
177×	`associate-/l/_binary64_14006`
165×	`distribute-rgt1-in_binary64_14015`
145×	`*-commutative_binary64_13990`
143×	`associate-l_binary64_14000`
139×	`distribute-rgt-out_binary64_14012`
134×	`associate-+l+_binary64_13992`
121×	`associate-r_binary64_13999`
113×	`pow-base-1_binary64_14119`
106×	`unswap-sqr_binary64_14027`
92×	`neg-mul-1_binary64_14055` `neg-sub0_binary64_14054`
91×	`cancel-sign-sub-inv_binary64_14025` `distribute-lft-neg-in_binary64_14016`
89×	`distribute-lft-in_binary64_14008`
83×	`distribute-lft-out_binary64_14010`
76×	`associate-+r+_binary64_13991`
72×	`rem-sqrt-square_binary64_14072`
68×	`times-frac_binary64_14065`
61×	`distribute-rgt-neg-in_binary64_14017`
58×	`+-commutative_binary64_13989`
28×	`cube-unmult_binary64_14096`
26×	`swap-sqr_binary64_14026` `associate-/l*_binary64_14004`
22×	`count-2_binary64_14007`
21×	`distribute-lft1-in_binary64_14014`
20×	`associate-/r/_binary64_14005`
18×	`/-rgt-identity_binary64_14050`
17×	`*-lft-identity_binary64_14048`
14×	`*-rgt-identity_binary64_14049`
13×	`cube-prod_binary64_14087`
12×	`exp-lft-sqr_binary64_14114` `exp-sqrt_binary64_14112` `prod-exp_binary64_14108`
10×	`distribute-neg-frac_binary64_14023`
9×	`div-exp_binary64_14110`
4×	`cube-div_binary64_14088`
3×	`rec-exp_binary64_14109`
1×	`unpow3_binary64_14125` `1-exp_binary64_14103` `exp-1-e_binary64_14102` `sub-neg_binary64_14052` `--rgt-identity_binary64_14045` `+-rgt-identity_binary64_14044` `div0_binary64_14040` `-inverses_binary64_14039` `lft-mult-inverse_binary64_14037` `rgt-mult-inverse_binary64_14036` `remove-double-div_binary64_14035` `associate-r/_binary64_14001`
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_14322` `erf-erfc_binary64_14321` `erf-odd_binary64_14320` `if-if-and-not_binary64_14319` `if-if-and_binary64_14318` `if-if-or-not_binary64_14317` `if-if-or_binary64_14316` `if-not_binary64_14315` `if-same_binary64_14314` `if-false_binary64_14313` `if-true_binary64_14312` `not-gte_binary64_14311` `not-lte_binary64_14310` `not-gt_binary64_14309` `not-lt_binary64_14308` `gte-same_binary64_14307` `lte-same_binary64_14306` `gt-same_binary64_14305` `lt-same_binary64_14304` `sinh---cosh_binary64_14251` `sinh-+-cosh_binary64_14250` `sinh-cosh_binary64_14249` `tanh-def-c_binary64_14248` `tanh-def-b_binary64_14247` `tanh-def-a_binary64_14246` `cosh-def_binary64_14245` `sinh-def_binary64_14244` `tan-neg_binary64_14191` `cos-neg_binary64_14190` `sin-neg_binary64_14189` `tan-0_binary64_14188` `cos-0_binary64_14187` `sin-0_binary64_14186` `hang-m-tan_binary64_14185` `hang-p-tan_binary64_14184` `hang-m0-tan_binary64_14183` `hang-p0-tan_binary64_14182` `hang-0m-tan_binary64_14181` `hang-0p-tan_binary64_14180` `tan-+PI/2_binary64_14179` `tan-+PI_binary64_14178` `tan-PI_binary64_14177` `tan-PI/3_binary64_14176` `tan-PI/4_binary64_14175` `tan-PI/6_binary64_14174` `cos-+PI/2_binary64_14173` `cos-+PI_binary64_14172` `cos-PI_binary64_14171` `cos-PI/2_binary64_14170` `cos-PI/3_binary64_14169` `cos-PI/4_binary64_14168` `cos-PI/6_binary64_14167` `sin-+PI/2_binary64_14166` `sin-+PI_binary64_14165` `sin-PI_binary64_14164` `sin-PI/2_binary64_14163` `sin-PI/3_binary64_14162` `sin-PI/4_binary64_14161` `sin-PI/6_binary64_14160` `sub-1-sin_binary64_14159` `sub-1-cos_binary64_14158` `-1-add-sin_binary64_14157` `-1-add-cos_binary64_14156` `1-sub-sin_binary64_14155` `1-sub-cos_binary64_14154` `cos-sin-sum_binary64_14153` `log-E_binary64_14149` `log-pow_binary64_14148` `log-rec_binary64_14147` `log-div_binary64_14146` `log-prod_binary64_14145` `pow-base-0_binary64_14143` `unpow1/3_binary64_14126` `unpow2_binary64_14124` `unpow1/2_binary64_14123` `exp-to-pow_binary64_14121` `unpow0_binary64_14118` `unpow1_binary64_14117` `unpow-1_binary64_14116` `exp-lft-cube_binary64_14115` `exp-cbrt_binary64_14113` `exp-diff_binary64_14107` `exp-neg_binary64_14106` `e-exp-1_binary64_14104` `exp-0_binary64_14101` `rem-log-exp_binary64_14100` `rem-exp-log_binary64_14099` `cube-mult_binary64_14089` `cube-neg_binary64_14086` `rem-3cbrt-rft_binary64_14085` `rem-3cbrt-lft_binary64_14084` `rem-cbrt-cube_binary64_14083` `rem-cube-cbrt_binary64_14082` `sqr-abs_binary64_14074` `sqr-neg_binary64_14073` `rem-square-sqrt_binary64_14071` `div-sub_binary64_14064` `unsub-neg_binary64_14053` `mul-1-neg_binary64_14051` `remove-double-neg_binary64_14047` `sub0-neg_binary64_14046` `+-lft-identity_binary64_14043` `mul0-rgt_binary64_14042` `mul0-lft_binary64_14041` `+-inverses_binary64_14038` `difference-of-sqr--1_binary64_14030` `difference-of-sqr-1_binary64_14029` `difference-of-squares_binary64_14028` `cancel-sign-sub_binary64_14024` `distribute-frac-neg_binary64_14022` `distribute-neg-out_binary64_14021` `distribute-neg-in_binary64_14020` `distribute-rgt-neg-out_binary64_14019` `distribute-lft-neg-out_binary64_14018` `distribute-rgt-out--_binary64_14013` `distribute-lft-out--_binary64_14011` `associate-*l/_binary64_14002` `associate--r-_binary64_13998` `associate--l-_binary64_13997` `associate--l+_binary64_13996` `associate--r+_binary64_13995` `associate-+l-_binary64_13994` `associate-+r-_binary64_13993`

Counts

1 → 3

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	16	19
2	26	16
3	36	16
4	42	16
5	49	16
6	53	16
7	65	16
8	63	16
9	65	16
10	81	16
11	167	16
12	780	16
13	1750	16
14	3317	16

prune12.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

4 → 2

Compiler

Compiled 65 to 31 computations (52.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z (+.f64 z (+.f64 z z))))
0.2b	(*.f64 z (+.f64 z (+.f64 z z)))

rewrite69.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`*-un-lft-identity_binary64_14059`
14×	`associate-r_binary64_13999`
12×	`add-sqr-sqrt_binary64_14081`
8×	`distribute-lft-out_binary64_14010`
7×	`add-cube-cbrt_binary64_14094`
5×	`distribute-rgt1-in_binary64_14015`
4×	`pow1_binary64_14120` `add-exp-log_binary64_14097` `add-log-exp_binary64_14098` `add-cbrt-cube_binary64_14095` `distribute-rgt-out_binary64_14012`
3×	`associate-l_binary64_14000`
2×	`distribute-rgt-in_binary64_14009` `distribute-lft-in_binary64_14008` `flip3-+_binary64_14062` `associate-*r/_binary64_14001` `flip-+_binary64_14033` `distribute-lft1-in_binary64_14014` `count-2_binary64_14007` `associate-+r+_binary64_13991`
1×	`pow-prod-down_binary64_14130` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `unswap-sqr_binary64_14027` `*-commutative_binary64_13990` `sum-log_binary64_14150` `+-commutative_binary64_13989`

Counts

2 → 46

Calls

2 calls:

12.0ms	(*.f64 z (+.f64 z (+.f64 z z)))
4.0ms	(+.f64 (.f64 x y) (.f64 z (+.f64 z (+.f64 z z))))

Compiler

Compiled 848 to 193 computations (77.2% saved)

series276.0ms (2%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

224.0ms	(+.f64 (.f64 x y) (.f64 z (+.f64 z (+.f64 z z))))
40.0ms	(*.f64 z (+.f64 z (+.f64 z z)))

Compiler

Compiled 394 to 344 computations (12.7% saved)

simplify229.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

495×	`distribute-rgt-in_binary64_14009`
442×	`distribute-lft-in_binary64_14008`
375×	`times-frac_binary64_14065`
295×	`cancel-sign-sub-inv_binary64_14025`
274×	`distribute-rgt-out_binary64_14012`
204×	`associate--l+_binary64_13996`
186×	`distribute-rgt-neg-in_binary64_14017`
184×	`*-commutative_binary64_13990`
178×	`distribute-neg-in_binary64_14020`
164×	`distribute-lft-neg-in_binary64_14016`
157×	`associate-/l*_binary64_14004`
135×	`unswap-sqr_binary64_14027`
125×	`associate-+l+_binary64_13992`
123×	`associate-l_binary64_14000`
115×	`associate-r_binary64_13999`
97×	`associate-/r*_binary64_14003`
94×	`sub-neg_binary64_14052`
93×	`associate-+r+_binary64_13991`
82×	`sqr-pow_binary64_14031`
75×	`associate-/r/_binary64_14005`
64×	`distribute-rgt-out--_binary64_14013` `associate--l-_binary64_13997`
57×	`distribute-lft-neg-out_binary64_14018`
51×	`neg-mul-1_binary64_14055` `neg-sub0_binary64_14054`
47×	`distribute-lft-out_binary64_14010` `associate--r+_binary64_13995`
44×	`exp-prod_binary64_14111` `unsub-neg_binary64_14053`
39×	`distribute-rgt-neg-out_binary64_14019`
35×	`pow-sqr_binary64_14032`
34×	`associate-*l/_binary64_14002`
33×	`cube-prod_binary64_14087`
31×	`swap-sqr_binary64_14026`
30×	`count-2_binary64_14007`
28×	`*-rgt-identity_binary64_14049`
27×	`associate-/l/_binary64_14006`
26×	`log-prod_binary64_14145`
25×	`associate-*r/_binary64_14001`
23×	`distribute-rgt1-in_binary64_14015`
22×	`*-lft-identity_binary64_14048`
20×	`+-commutative_binary64_13989`
18×	`exp-sum_binary64_14105` `distribute-neg-frac_binary64_14023`
13×	`cube-div_binary64_14088`
12×	`log-div_binary64_14146` `exp-sqrt_binary64_14112`
11×	`unpow3_binary64_14125`
10×	`pow-plus_binary64_14122` `cube-mult_binary64_14089`
9×	`associate-+r-_binary64_13993`
8×	`+-rgt-identity_binary64_14044` `difference-of-squares_binary64_14028`
7×	`distribute-lft1-in_binary64_14014` `distribute-lft-out--_binary64_14011` `associate-+l-_binary64_13994`
5×	`div-sub_binary64_14064` `sub0-neg_binary64_14046` `associate--r-_binary64_13998`
4×	`log-pow_binary64_14148`
3×	`+-inverses_binary64_14038`
2×	`pow-base-1_binary64_14119` `exp-lft-sqr_binary64_14114` `prod-exp_binary64_14108` `exp-diff_binary64_14107` `cube-unmult_binary64_14096` `/-rgt-identity_binary64_14050`
1×	`log-rec_binary64_14147` `unpow2_binary64_14124` `unpow1_binary64_14117` `1-exp_binary64_14103` `exp-1-e_binary64_14102` `rem-log-exp_binary64_14100` `rem-sqrt-square_binary64_14072` `*-inverses_binary64_14039` `difference-of-sqr-1_binary64_14029` `cancel-sign-sub_binary64_14024`
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_14322` `erf-erfc_binary64_14321` `erf-odd_binary64_14320` `if-if-and-not_binary64_14319` `if-if-and_binary64_14318` `if-if-or-not_binary64_14317` `if-if-or_binary64_14316` `if-not_binary64_14315` `if-same_binary64_14314` `if-false_binary64_14313` `if-true_binary64_14312` `not-gte_binary64_14311` `not-lte_binary64_14310` `not-gt_binary64_14309` `not-lt_binary64_14308` `gte-same_binary64_14307` `lte-same_binary64_14306` `gt-same_binary64_14305` `lt-same_binary64_14304` `sinh---cosh_binary64_14251` `sinh-+-cosh_binary64_14250` `sinh-cosh_binary64_14249` `tanh-def-c_binary64_14248` `tanh-def-b_binary64_14247` `tanh-def-a_binary64_14246` `cosh-def_binary64_14245` `sinh-def_binary64_14244` `tan-neg_binary64_14191` `cos-neg_binary64_14190` `sin-neg_binary64_14189` `tan-0_binary64_14188` `cos-0_binary64_14187` `sin-0_binary64_14186` `hang-m-tan_binary64_14185` `hang-p-tan_binary64_14184` `hang-m0-tan_binary64_14183` `hang-p0-tan_binary64_14182` `hang-0m-tan_binary64_14181` `hang-0p-tan_binary64_14180` `tan-+PI/2_binary64_14179` `tan-+PI_binary64_14178` `tan-PI_binary64_14177` `tan-PI/3_binary64_14176` `tan-PI/4_binary64_14175` `tan-PI/6_binary64_14174` `cos-+PI/2_binary64_14173` `cos-+PI_binary64_14172` `cos-PI_binary64_14171` `cos-PI/2_binary64_14170` `cos-PI/3_binary64_14169` `cos-PI/4_binary64_14168` `cos-PI/6_binary64_14167` `sin-+PI/2_binary64_14166` `sin-+PI_binary64_14165` `sin-PI_binary64_14164` `sin-PI/2_binary64_14163` `sin-PI/3_binary64_14162` `sin-PI/4_binary64_14161` `sin-PI/6_binary64_14160` `sub-1-sin_binary64_14159` `sub-1-cos_binary64_14158` `-1-add-sin_binary64_14157` `-1-add-cos_binary64_14156` `1-sub-sin_binary64_14155` `1-sub-cos_binary64_14154` `cos-sin-sum_binary64_14153` `log-E_binary64_14149` `pow-base-0_binary64_14143` `unpow1/3_binary64_14126` `unpow1/2_binary64_14123` `exp-to-pow_binary64_14121` `unpow0_binary64_14118` `unpow-1_binary64_14116` `exp-lft-cube_binary64_14115` `exp-cbrt_binary64_14113` `div-exp_binary64_14110` `rec-exp_binary64_14109` `exp-neg_binary64_14106` `e-exp-1_binary64_14104` `exp-0_binary64_14101` `rem-exp-log_binary64_14099` `cube-neg_binary64_14086` `rem-3cbrt-rft_binary64_14085` `rem-3cbrt-lft_binary64_14084` `rem-cbrt-cube_binary64_14083` `rem-cube-cbrt_binary64_14082` `sqr-abs_binary64_14074` `sqr-neg_binary64_14073` `rem-square-sqrt_binary64_14071` `mul-1-neg_binary64_14051` `remove-double-neg_binary64_14047` `--rgt-identity_binary64_14045` `+-lft-identity_binary64_14043` `mul0-rgt_binary64_14042` `mul0-lft_binary64_14041` `div0_binary64_14040` `lft-mult-inverse_binary64_14037` `rgt-mult-inverse_binary64_14036` `remove-double-div_binary64_14035` `difference-of-sqr--1_binary64_14030` `distribute-frac-neg_binary64_14022` `distribute-neg-out_binary64_14021`

Counts

67 → 56

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	872
1	237	830
2	903	820
3	2897	813

prune56.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	53	5	58

Error

0.0b

Counts

58 → 5

Compiler

Compiled 1074 to 320 computations (70.2% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 z z) (.f64 x y))
0.1b	(+.f64 (+.f64 (.f64 z z) (.f64 x y)) (*.f64 (+.f64 z z) z))

rewrite46.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64_14098`
6×	`flip3-+_binary64_14062` `flip-+_binary64_14033`
4×	`sum-log_binary64_14150` `associate-*l/_binary64_14002` `frac-add_binary64_14067`
2×	`pow1_binary64_14120` `add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095` `add-cube-cbrt_binary64_14094` `add-sqr-sqrt_binary64_14081` `*-un-lft-identity_binary64_14059` `+-commutative_binary64_13989`
1×	`associate-+l+_binary64_13992`

Counts

2 → 28

Calls

2 calls:

8.0ms	(+.f64 (+.f64 (.f64 z z) (.f64 x y)) (*.f64 (+.f64 z z) z))
4.0ms	(+.f64 (.f64 z z) (.f64 x y))

Compiler

Compiled 862 to 138 computations (84% saved)

series413.0ms (3%)

Error

0.0b

Counts

2 → 36

Calls

2 calls:

224.0ms	(+.f64 (+.f64 (.f64 z z) (.f64 x y)) (*.f64 (+.f64 z z) z))
169.0ms	(+.f64 (.f64 z z) (.f64 x y))

Compiler

Compiled 826 to 573 computations (30.6% saved)

simplify501.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

480×	`exp-prod_binary64_14111`
478×	`distribute-rgt-out_binary64_14012`
352×	`associate-+l+_binary64_13992`
304×	`associate-+r+_binary64_13991`
252×	`exp-sum_binary64_14105`
232×	`associate--l+_binary64_13996`
193×	`*-commutative_binary64_13990`
130×	`cancel-sign-sub-inv_binary64_14025`
120×	`distribute-lft-out_binary64_14010`
102×	`associate-r_binary64_13999`
93×	`exp-diff_binary64_14107`
87×	`associate-l_binary64_14000`
81×	`distribute-rgt-in_binary64_14009`
75×	`distribute-rgt-neg-in_binary64_14017`
72×	`associate-+l-_binary64_13994`
69×	`associate-+r-_binary64_13993`
68×	`+-commutative_binary64_13989`
67×	`associate--r+_binary64_13995`
65×	`distribute-lft-in_binary64_14008`
58×	`distribute-lft-neg-in_binary64_14016`
44×	`sqr-pow_binary64_14031`
40×	`unswap-sqr_binary64_14027`
36×	`sub-neg_binary64_14052`
31×	`distribute-lft-neg-out_binary64_14018` `associate--l-_binary64_13997`
27×	`distribute-rgt1-in_binary64_14015`
23×	`neg-mul-1_binary64_14055` `neg-sub0_binary64_14054` `distribute-rgt-out--_binary64_14013`
22×	`pow-sqr_binary64_14032` `associate--r-_binary64_13998`
20×	`pow-plus_binary64_14122`
18×	`distribute-neg-in_binary64_14020`
16×	`distribute-rgt-neg-out_binary64_14019`
12×	`cube-prod_binary64_14087`
11×	`unpow3_binary64_14125`
10×	`count-2_binary64_14007`
9×	`cube-mult_binary64_14089` `mul0-rgt_binary64_14042`
7×	`unsub-neg_binary64_14053` `difference-of-squares_binary64_14028` `swap-sqr_binary64_14026`
6×	`mul0-lft_binary64_14041`
5×	`prod-exp_binary64_14108` `+-lft-identity_binary64_14043` `distribute-lft-out--_binary64_14011`
4×	`exp-neg_binary64_14106`
3×	`+-rgt-identity_binary64_14044` `distribute-lft1-in_binary64_14014`
2×	`exp-lft-sqr_binary64_14114` `cube-unmult_binary64_14096` `+-inverses_binary64_14038` `associate-/l/_binary64_14006` `associate-*r/_binary64_14001`
1×	`unpow2_binary64_14124` `unpow1_binary64_14117` `exp-sqrt_binary64_14112` `1-exp_binary64_14103` `-rgt-identity_binary64_14049` `-inverses_binary64_14039`
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_14322` `erf-erfc_binary64_14321` `erf-odd_binary64_14320` `if-if-and-not_binary64_14319` `if-if-and_binary64_14318` `if-if-or-not_binary64_14317` `if-if-or_binary64_14316` `if-not_binary64_14315` `if-same_binary64_14314` `if-false_binary64_14313` `if-true_binary64_14312` `not-gte_binary64_14311` `not-lte_binary64_14310` `not-gt_binary64_14309` `not-lt_binary64_14308` `gte-same_binary64_14307` `lte-same_binary64_14306` `gt-same_binary64_14305` `lt-same_binary64_14304` `sinh---cosh_binary64_14251` `sinh-+-cosh_binary64_14250` `sinh-cosh_binary64_14249` `tanh-def-c_binary64_14248` `tanh-def-b_binary64_14247` `tanh-def-a_binary64_14246` `cosh-def_binary64_14245` `sinh-def_binary64_14244` `tan-neg_binary64_14191` `cos-neg_binary64_14190` `sin-neg_binary64_14189` `tan-0_binary64_14188` `cos-0_binary64_14187` `sin-0_binary64_14186` `hang-m-tan_binary64_14185` `hang-p-tan_binary64_14184` `hang-m0-tan_binary64_14183` `hang-p0-tan_binary64_14182` `hang-0m-tan_binary64_14181` `hang-0p-tan_binary64_14180` `tan-+PI/2_binary64_14179` `tan-+PI_binary64_14178` `tan-PI_binary64_14177` `tan-PI/3_binary64_14176` `tan-PI/4_binary64_14175` `tan-PI/6_binary64_14174` `cos-+PI/2_binary64_14173` `cos-+PI_binary64_14172` `cos-PI_binary64_14171` `cos-PI/2_binary64_14170` `cos-PI/3_binary64_14169` `cos-PI/4_binary64_14168` `cos-PI/6_binary64_14167` `sin-+PI/2_binary64_14166` `sin-+PI_binary64_14165` `sin-PI_binary64_14164` `sin-PI/2_binary64_14163` `sin-PI/3_binary64_14162` `sin-PI/4_binary64_14161` `sin-PI/6_binary64_14160` `sub-1-sin_binary64_14159` `sub-1-cos_binary64_14158` `-1-add-sin_binary64_14157` `-1-add-cos_binary64_14156` `1-sub-sin_binary64_14155` `1-sub-cos_binary64_14154` `cos-sin-sum_binary64_14153` `log-E_binary64_14149` `log-pow_binary64_14148` `log-rec_binary64_14147` `log-div_binary64_14146` `log-prod_binary64_14145` `pow-base-0_binary64_14143` `unpow1/3_binary64_14126` `unpow1/2_binary64_14123` `exp-to-pow_binary64_14121` `pow-base-1_binary64_14119` `unpow0_binary64_14118` `unpow-1_binary64_14116` `exp-lft-cube_binary64_14115` `exp-cbrt_binary64_14113` `div-exp_binary64_14110` `rec-exp_binary64_14109` `e-exp-1_binary64_14104` `exp-1-e_binary64_14102` `exp-0_binary64_14101` `rem-log-exp_binary64_14100` `rem-exp-log_binary64_14099` `cube-div_binary64_14088` `cube-neg_binary64_14086` `rem-3cbrt-rft_binary64_14085` `rem-3cbrt-lft_binary64_14084` `rem-cbrt-cube_binary64_14083` `rem-cube-cbrt_binary64_14082` `sqr-abs_binary64_14074` `sqr-neg_binary64_14073` `rem-sqrt-square_binary64_14072` `rem-square-sqrt_binary64_14071` `times-frac_binary64_14065` `div-sub_binary64_14064` `mul-1-neg_binary64_14051` `/-rgt-identity_binary64_14050` `-lft-identity_binary64_14048` `remove-double-neg_binary64_14047` `sub0-neg_binary64_14046` `--rgt-identity_binary64_14045` `div0_binary64_14040` `lft-mult-inverse_binary64_14037` `rgt-mult-inverse_binary64_14036` `remove-double-div_binary64_14035` `difference-of-sqr--1_binary64_14030` `difference-of-sqr-1_binary64_14029` `cancel-sign-sub_binary64_14024` `distribute-neg-frac_binary64_14023` `distribute-frac-neg_binary64_14022` `distribute-neg-out_binary64_14021` `associate-/r/_binary64_14005` `associate-/l_binary64_14004` `associate-/r_binary64_14003` `associate-l/_binary64_14002`

Counts

64 → 164

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	1238
1	264	995
2	1009	914
3	4019	914

prune194.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	162	2	164
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	165	4	169

Error

0.0b

Counts

169 → 4

Compiler

Compiled 5428 to 1233 computations (77.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 z (+.f64 z (+.f64 z z)))
0.4b	(.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 z z) (.f64 x y)) (.f64 (+.f64 z z) z))) (sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 z (+.f64 z z))))))
3.0b	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 z (+.f64 z z)))))
3.0b	(sqrt.f64 (+.f64 (+.f64 (.f64 z z) (.f64 x y)) (*.f64 (+.f64 z z) z)))

rewrite225.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

40×	`sqrt-div_binary64_14076`
30×	`add-sqr-sqrt_binary64_14081`
29×	`flip3-+_binary64_14062` `flip-+_binary64_14033`
24×	`*-un-lft-identity_binary64_14059`
22×	`associate-*l/_binary64_14002`
20×	`associate-r_binary64_13999`
16×	`frac-add_binary64_14067` `sqrt-prod_binary64_14075`
15×	`add-cube-cbrt_binary64_14094`
12×	`pow1_binary64_14120` `frac-times_binary64_14069`
9×	`associate-l_binary64_14000`
8×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095` `distribute-lft-out_binary64_14010`
5×	`unswap-sqr_binary64_14027` `distribute-rgt1-in_binary64_14015`
4×	`pow1/2_binary64_14139` `add-log-exp_binary64_14098` `sqrt-pow1_binary64_14077` `pow-prod-down_binary64_14130` `associate-*r/_binary64_14001` `distribute-rgt-out_binary64_14012`
2×	`rem-sqrt-square_binary64_14072` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `*-commutative_binary64_13990` `distribute-lft1-in_binary64_14014` `count-2_binary64_14007`
1×	`sqrt-unprod_binary64_14079` `distribute-rgt-in_binary64_14009` `distribute-lft-in_binary64_14008`

Counts

4 → 117

Calls

4 calls:

17.0ms	(.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 z z) (.f64 x y)) (.f64 (+.f64 z z) z))) (sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 z (+.f64 z z))))))
14.0ms	(*.f64 z (+.f64 z (+.f64 z z)))
7.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 z z) (.f64 x y)) (*.f64 (+.f64 z z) z)))
4.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 z (+.f64 z z)))))

Compiler

Compiled 5949 to 680 computations (88.6% saved)

series814.0ms (5.9%)

Error

0.0b

Counts

4 → 57

Calls

4 calls:

248.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 z z) (.f64 x y)) (*.f64 (+.f64 z z) z)))
234.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 z (+.f64 z z)))))
228.0ms	(.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 z z) (.f64 x y)) (.f64 (+.f64 z z) z))) (sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 z (+.f64 z z))))))
48.0ms	(*.f64 z (+.f64 z (+.f64 z z)))

Compiler

Compiled 3466 to 2215 computations (36.1% saved)

simplify1.8s (13%)

Algorithm

1×	egg-herbie

Rules

584×	`distribute-rgt-out_binary64_14012`
411×	`associate-/l*_binary64_14004`
274×	`cancel-sign-sub-inv_binary64_14025`
268×	`associate-r_binary64_13999`
256×	`associate-l_binary64_14000`
187×	`distribute-rgt-neg-in_binary64_14017`
159×	`distribute-lft-out_binary64_14010`
145×	`distribute-lft-neg-in_binary64_14016`
138×	`distribute-rgt-in_binary64_14009`
124×	`*-commutative_binary64_13990`
118×	`distribute-lft-in_binary64_14008`
92×	`exp-prod_binary64_14111`
79×	`unswap-sqr_binary64_14027`
76×	`sub-neg_binary64_14052`
68×	`sqr-pow_binary64_14031`
61×	`distribute-rgt-out--_binary64_14013`
58×	`associate-/r/_binary64_14005`
56×	`exp-sum_binary64_14105` `associate-/l/_binary64_14006`
53×	`times-frac_binary64_14065`
52×	`distribute-neg-in_binary64_14020` `distribute-lft-neg-out_binary64_14018`
46×	`cube-prod_binary64_14087`
43×	`neg-sub0_binary64_14054`
42×	`neg-mul-1_binary64_14055`
41×	`+-commutative_binary64_13989`
39×	`distribute-neg-frac_binary64_14023`
33×	`distribute-rgt1-in_binary64_14015`
29×	`*-rgt-identity_binary64_14049` `pow-sqr_binary64_14032`
28×	`associate-/r*_binary64_14003`
26×	`log-prod_binary64_14145` `swap-sqr_binary64_14026`
25×	`distribute-rgt-neg-out_binary64_14019`
23×	`associate-+l+_binary64_13992`
21×	`distribute-lft-out--_binary64_14011`
19×	`*-lft-identity_binary64_14048`
18×	`count-2_binary64_14007`
15×	`unpow3_binary64_14125`
14×	`pow-plus_binary64_14122` `unsub-neg_binary64_14053`
13×	`cube-mult_binary64_14089`
11×	`associate-*r/_binary64_14001`
10×	`difference-of-squares_binary64_14028` `associate--l+_binary64_13996` `associate--r+_binary64_13995` `associate-+r+_binary64_13991`
9×	`exp-diff_binary64_14107` `mul0-rgt_binary64_14042`
8×	`associate-*l/_binary64_14002`
6×	`mul0-lft_binary64_14041` `associate-+r-_binary64_13993`
5×	`rem-sqrt-square_binary64_14072` `+-lft-identity_binary64_14043` `associate-+l-_binary64_13994`
4×	`cube-unmult_binary64_14096` `rem-square-sqrt_binary64_14071` `+-rgt-identity_binary64_14044`
3×	`log-pow_binary64_14148` `log-div_binary64_14146` `unpow2_binary64_14124` `unpow1_binary64_14117` `cube-div_binary64_14088` `/-rgt-identity_binary64_14050` `+-inverses_binary64_14038`
2×	`distribute-lft1-in_binary64_14014` `associate--l-_binary64_13997`
1×	`pow-base-1_binary64_14119` `exp-lft-sqr_binary64_14114` `exp-sqrt_binary64_14112` `prod-exp_binary64_14108` `1-exp_binary64_14103` `exp-1-e_binary64_14102` `rem-log-exp_binary64_14100` `mul-1-neg_binary64_14051` `*-inverses_binary64_14039`
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_14322` `erf-erfc_binary64_14321` `erf-odd_binary64_14320` `if-if-and-not_binary64_14319` `if-if-and_binary64_14318` `if-if-or-not_binary64_14317` `if-if-or_binary64_14316` `if-not_binary64_14315` `if-same_binary64_14314` `if-false_binary64_14313` `if-true_binary64_14312` `not-gte_binary64_14311` `not-lte_binary64_14310` `not-gt_binary64_14309` `not-lt_binary64_14308` `gte-same_binary64_14307` `lte-same_binary64_14306` `gt-same_binary64_14305` `lt-same_binary64_14304` `sinh---cosh_binary64_14251` `sinh-+-cosh_binary64_14250` `sinh-cosh_binary64_14249` `tanh-def-c_binary64_14248` `tanh-def-b_binary64_14247` `tanh-def-a_binary64_14246` `cosh-def_binary64_14245` `sinh-def_binary64_14244` `tan-neg_binary64_14191` `cos-neg_binary64_14190` `sin-neg_binary64_14189` `tan-0_binary64_14188` `cos-0_binary64_14187` `sin-0_binary64_14186` `hang-m-tan_binary64_14185` `hang-p-tan_binary64_14184` `hang-m0-tan_binary64_14183` `hang-p0-tan_binary64_14182` `hang-0m-tan_binary64_14181` `hang-0p-tan_binary64_14180` `tan-+PI/2_binary64_14179` `tan-+PI_binary64_14178` `tan-PI_binary64_14177` `tan-PI/3_binary64_14176` `tan-PI/4_binary64_14175` `tan-PI/6_binary64_14174` `cos-+PI/2_binary64_14173` `cos-+PI_binary64_14172` `cos-PI_binary64_14171` `cos-PI/2_binary64_14170` `cos-PI/3_binary64_14169` `cos-PI/4_binary64_14168` `cos-PI/6_binary64_14167` `sin-+PI/2_binary64_14166` `sin-+PI_binary64_14165` `sin-PI_binary64_14164` `sin-PI/2_binary64_14163` `sin-PI/3_binary64_14162` `sin-PI/4_binary64_14161` `sin-PI/6_binary64_14160` `sub-1-sin_binary64_14159` `sub-1-cos_binary64_14158` `-1-add-sin_binary64_14157` `-1-add-cos_binary64_14156` `1-sub-sin_binary64_14155` `1-sub-cos_binary64_14154` `cos-sin-sum_binary64_14153` `log-E_binary64_14149` `log-rec_binary64_14147` `pow-base-0_binary64_14143` `unpow1/3_binary64_14126` `unpow1/2_binary64_14123` `exp-to-pow_binary64_14121` `unpow0_binary64_14118` `unpow-1_binary64_14116` `exp-lft-cube_binary64_14115` `exp-cbrt_binary64_14113` `div-exp_binary64_14110` `rec-exp_binary64_14109` `exp-neg_binary64_14106` `e-exp-1_binary64_14104` `exp-0_binary64_14101` `rem-exp-log_binary64_14099` `cube-neg_binary64_14086` `rem-3cbrt-rft_binary64_14085` `rem-3cbrt-lft_binary64_14084` `rem-cbrt-cube_binary64_14083` `rem-cube-cbrt_binary64_14082` `sqr-abs_binary64_14074` `sqr-neg_binary64_14073` `div-sub_binary64_14064` `remove-double-neg_binary64_14047` `sub0-neg_binary64_14046` `--rgt-identity_binary64_14045` `div0_binary64_14040` `lft-mult-inverse_binary64_14037` `rgt-mult-inverse_binary64_14036` `remove-double-div_binary64_14035` `difference-of-sqr--1_binary64_14030` `difference-of-sqr-1_binary64_14029` `cancel-sign-sub_binary64_14024` `distribute-frac-neg_binary64_14022` `distribute-neg-out_binary64_14021` `associate--r-_binary64_13998`

Counts

174 → 714

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	6125
1	626	4937
2	2252	4715

prune1.8s (13.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	713	1	714
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	713	5	718

Error

Counts

718 → 5

Compiler

Compiled 38103 to 12142 computations (68.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z (.f64 z (+.f64 1 2)))))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z (.f64 z (+.f64 1 2))))))) (sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 z (+.f64 z z))))))
3.0b	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 z (+.f64 z z)))))
3.4b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z (*.f64 z (+.f64 1 2)))))
3.4b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z (*.f64 z (+.f64 1 2)))))

rewrite211.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`sqrt-div_binary64_14076`
10×	`pow1_binary64_14120` `cbrt-div_binary64_14091` `add-sqr-sqrt_binary64_14081`
9×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095` `add-cube-cbrt_binary64_14094` `flip3-+_binary64_14062` `flip-+_binary64_14033` `*-un-lft-identity_binary64_14059`
8×	`associate-*r/_binary64_14001`
6×	`cbrt-prod_binary64_14090` `sqrt-prod_binary64_14075` `associate-r_binary64_13999`
4×	`add-log-exp_binary64_14098` `frac-times_binary64_14069`
3×	`pow-prod-down_binary64_14130` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092`
2×	`pow1/3_binary64_14141` `associate-*l/_binary64_14002`
1×	`pow1/2_binary64_14139` `sqrt-pow1_binary64_14077` `rem-sqrt-square_binary64_14072` `associate-l_binary64_14000` `*-commutative_binary64_13990`

Counts

4 → 70

Calls

4 calls:

14.0ms	(.f64 (.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z (.f64 z (+.f64 1 2)))))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z (.f64 z (+.f64 1 2))))))) (sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 z (+.f64 z z))))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z (*.f64 z (+.f64 1 2)))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z (*.f64 z (+.f64 1 2)))))
4.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 z (+.f64 z z)))))

Compiler

Compiled 4270 to 1916 computations (55.1% saved)

series1.7s (12.6%)

Error

Counts

4 → 66

Calls

4 calls:

649.0ms	(.f64 (.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z (.f64 z (+.f64 1 2)))))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z (.f64 z (+.f64 1 2))))))) (sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 z (+.f64 z z))))))
337.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z (*.f64 z (+.f64 1 2)))))
322.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z (*.f64 z (+.f64 1 2)))))
271.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 z (+.f64 z z)))))

Compiler

Compiled 8442 to 6123 computations (27.5% saved)

simplify838.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

530×	`distribute-rgt-in_binary64_14009`
515×	`distribute-lft-in_binary64_14008`
284×	`associate-r_binary64_13999`
275×	`associate-l_binary64_14000`
170×	`*-commutative_binary64_13990`
157×	`times-frac_binary64_14065`
146×	`cancel-sign-sub-inv_binary64_14025`
125×	`distribute-rgt-neg-in_binary64_14017`
118×	`sqr-pow_binary64_14031`
114×	`associate-/l*_binary64_14004`
109×	`distribute-lft-neg-in_binary64_14016`
81×	`associate-/r*_binary64_14003`
80×	`unswap-sqr_binary64_14027`
74×	`sub-neg_binary64_14052`
58×	`neg-mul-1_binary64_14055`
56×	`neg-sub0_binary64_14054`
51×	`distribute-lft-neg-out_binary64_14018`
50×	`exp-prod_binary64_14111` `exp-sum_binary64_14105`
49×	`pow-sqr_binary64_14032`
43×	`+-commutative_binary64_13989`
40×	`distribute-neg-in_binary64_14020`
37×	`distribute-neg-frac_binary64_14023` `associate-*r/_binary64_14001`
35×	`log-prod_binary64_14145`
34×	`associate-*l/_binary64_14002`
30×	`cube-prod_binary64_14087`
29×	`distribute-rgt-neg-out_binary64_14019`
25×	`distribute-rgt-out_binary64_14012`
20×	`unsub-neg_binary64_14053` `swap-sqr_binary64_14026`
18×	`unpow1/3_binary64_14126`
14×	`*-rgt-identity_binary64_14049` `distribute-rgt-out--_binary64_14013`
12×	`exp-diff_binary64_14107` `div-sub_binary64_14064` `associate-/r/_binary64_14005`
11×	`unpow3_binary64_14125` `cube-mult_binary64_14089` `*-lft-identity_binary64_14048`
10×	`pow-plus_binary64_14122` `distribute-neg-out_binary64_14021` `distribute-lft-out--_binary64_14011` `distribute-lft-out_binary64_14010`
7×	`log-div_binary64_14146` `cube-unmult_binary64_14096` `rem-sqrt-square_binary64_14072` `remove-double-neg_binary64_14047`
6×	`log-pow_binary64_14148` `associate-+l+_binary64_13992`
5×	`associate--r+_binary64_13995` `associate-+r+_binary64_13991`
4×	`associate--r-_binary64_13998` `associate--l+_binary64_13996`
3×	`log-rec_binary64_14147` `unpow2_binary64_14124` `unpow1_binary64_14117` `rem-square-sqrt_binary64_14071` `associate-+r-_binary64_13993`
2×	`--rgt-identity_binary64_14045` `difference-of-squares_binary64_14028` `cancel-sign-sub_binary64_14024` `distribute-rgt1-in_binary64_14015`
1×	`exp-sqrt_binary64_14112` `prod-exp_binary64_14108` `1-exp_binary64_14103` `exp-1-e_binary64_14102` `rem-log-exp_binary64_14100` `rem-3cbrt-lft_binary64_14084` `sqr-abs_binary64_14074` `mul-1-neg_binary64_14051` `+-rgt-identity_binary64_14044` `*-inverses_binary64_14039` `count-2_binary64_14007` `associate-+l-_binary64_13994`
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_14322` `erf-erfc_binary64_14321` `erf-odd_binary64_14320` `if-if-and-not_binary64_14319` `if-if-and_binary64_14318` `if-if-or-not_binary64_14317` `if-if-or_binary64_14316` `if-not_binary64_14315` `if-same_binary64_14314` `if-false_binary64_14313` `if-true_binary64_14312` `not-gte_binary64_14311` `not-lte_binary64_14310` `not-gt_binary64_14309` `not-lt_binary64_14308` `gte-same_binary64_14307` `lte-same_binary64_14306` `gt-same_binary64_14305` `lt-same_binary64_14304` `sinh---cosh_binary64_14251` `sinh-+-cosh_binary64_14250` `sinh-cosh_binary64_14249` `tanh-def-c_binary64_14248` `tanh-def-b_binary64_14247` `tanh-def-a_binary64_14246` `cosh-def_binary64_14245` `sinh-def_binary64_14244` `tan-neg_binary64_14191` `cos-neg_binary64_14190` `sin-neg_binary64_14189` `tan-0_binary64_14188` `cos-0_binary64_14187` `sin-0_binary64_14186` `hang-m-tan_binary64_14185` `hang-p-tan_binary64_14184` `hang-m0-tan_binary64_14183` `hang-p0-tan_binary64_14182` `hang-0m-tan_binary64_14181` `hang-0p-tan_binary64_14180` `tan-+PI/2_binary64_14179` `tan-+PI_binary64_14178` `tan-PI_binary64_14177` `tan-PI/3_binary64_14176` `tan-PI/4_binary64_14175` `tan-PI/6_binary64_14174` `cos-+PI/2_binary64_14173` `cos-+PI_binary64_14172` `cos-PI_binary64_14171` `cos-PI/2_binary64_14170` `cos-PI/3_binary64_14169` `cos-PI/4_binary64_14168` `cos-PI/6_binary64_14167` `sin-+PI/2_binary64_14166` `sin-+PI_binary64_14165` `sin-PI_binary64_14164` `sin-PI/2_binary64_14163` `sin-PI/3_binary64_14162` `sin-PI/4_binary64_14161` `sin-PI/6_binary64_14160` `sub-1-sin_binary64_14159` `sub-1-cos_binary64_14158` `-1-add-sin_binary64_14157` `-1-add-cos_binary64_14156` `1-sub-sin_binary64_14155` `1-sub-cos_binary64_14154` `cos-sin-sum_binary64_14153` `log-E_binary64_14149` `pow-base-0_binary64_14143` `unpow1/2_binary64_14123` `exp-to-pow_binary64_14121` `pow-base-1_binary64_14119` `unpow0_binary64_14118` `unpow-1_binary64_14116` `exp-lft-cube_binary64_14115` `exp-lft-sqr_binary64_14114` `exp-cbrt_binary64_14113` `div-exp_binary64_14110` `rec-exp_binary64_14109` `exp-neg_binary64_14106` `e-exp-1_binary64_14104` `exp-0_binary64_14101` `rem-exp-log_binary64_14099` `cube-div_binary64_14088` `cube-neg_binary64_14086` `rem-3cbrt-rft_binary64_14085` `rem-cbrt-cube_binary64_14083` `rem-cube-cbrt_binary64_14082` `sqr-neg_binary64_14073` `/-rgt-identity_binary64_14050` `sub0-neg_binary64_14046` `+-lft-identity_binary64_14043` `mul0-rgt_binary64_14042` `mul0-lft_binary64_14041` `div0_binary64_14040` `+-inverses_binary64_14038` `lft-mult-inverse_binary64_14037` `rgt-mult-inverse_binary64_14036` `remove-double-div_binary64_14035` `difference-of-sqr--1_binary64_14030` `difference-of-sqr-1_binary64_14029` `distribute-frac-neg_binary64_14022` `distribute-lft1-in_binary64_14014` `associate-/l/_binary64_14006` `associate--l-_binary64_13997`

Counts

136 → 462

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	301	5770
1	836	5578
2	2741	5418

prune1.7s (12.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	462	0	462
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	462	5	467

Error

Counts

467 → 5

Compiler

Compiled 28976 to 12374 computations (57.3% saved)

regimes606.0ms (4.4%)

Accuracy

Total 0.1b remaining (95.9%)

Threshold costs 0.1b (95.9%)

Compiler

Compiled 7505 to 4267 computations (43.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_binary64_13990 +-commutative_binary64_13989

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_14319 if-if-and_binary64_14318 if-if-or-not_binary64_14317 if-if-or_binary64_14316 if-not_binary64_14315 if-same_binary64_14314 if-false_binary64_14313 if-true_binary64_14312 tan-0_binary64_14188 cos-0_binary64_14187 sin-0_binary64_14186 unpow1_binary64_14117 e-exp-1_binary64_14104 1-exp_binary64_14103 exp-1-e_binary64_14102 exp-0_binary64_14101 sqr-abs_binary64_14074 sqr-neg_binary64_14073 neg-mul-1_binary64_14055 neg-sub0_binary64_14054 unsub-neg_binary64_14053 sub-neg_binary64_14052 mul-1-neg_binary64_14051 /-rgt-identity_binary64_14050 *-rgt-identity_binary64_14049 *-lft-identity_binary64_14048 remove-double-neg_binary64_14047 sub0-neg_binary64_14046 --rgt-identity_binary64_14045 +-rgt-identity_binary64_14044 +-lft-identity_binary64_14043 cancel-sign-sub-inv_binary64_14025 cancel-sign-sub_binary64_14024 distribute-neg-frac_binary64_14023 distribute-frac-neg_binary64_14022 distribute-neg-out_binary64_14021 distribute-neg-in_binary64_14020 distribute-rgt-neg-out_binary64_14019 distribute-lft-neg-out_binary64_14018 distribute-rgt-neg-in_binary64_14017 distribute-lft-neg-in_binary64_14016

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	13	16

Proof

(+ f64 (* f64 h0 h1) (* f64 h2 (+ f64 h2 (+ f64 h2 h2))))

end0.0ms (0%)

sample1.3s (9.7%)

Algorithm

1×

intervals

Results

227.0ms	8000×	body	128	valid
16.0ms	448×	body	128	invalid

Compiler

Compiled 1262 to 716 computations (43.3% saved)

Details

analyze276.0ms (2%)

sample18.0ms (0.1%)

simplify543.0ms (4%)

prune12.0ms (0.1%)

localize7.0ms (0.1%)

rewrite69.0ms (0.5%)

series276.0ms (2%)

simplify229.0ms (1.7%)

prune56.0ms (0.4%)

localize10.0ms (0.1%)

rewrite46.0ms (0.3%)

series413.0ms (3%)

simplify501.0ms (3.7%)

prune194.0ms (1.4%)

localize16.0ms (0.1%)

rewrite225.0ms (1.6%)

series814.0ms (5.9%)

simplify1.8s (13%)

prune1.8s (13.2%)

localize18.0ms (0.1%)

rewrite211.0ms (1.5%)

series1.7s (12.6%)

simplify838.0ms (6.1%)

prune1.7s (12.2%)

regimes606.0ms (4.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (9.7%)

Profiling