Details

analyze600.0ms (5.3%)

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
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56%	4%	10
47.3%	48.7%	4%	11
48.4%	45.8%	5.8%	12
58.6%	32.4%	9%	13
63.4%	27.5%	9%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample19.0ms (0.2%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify752.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

1157×	`exp-prod_binary64_7291`
1047×	`cube-prod_binary64_7267`
543×	`div-sub_binary64_7244`
328×	`distribute-rgt-out--_binary64_7193`
235×	`distribute-rgt-out_binary64_7192`
227×	`sub-neg_binary64_7232`
212×	`swap-sqr_binary64_7206`
194×	`exp-sum_binary64_7285`
175×	`distribute-rgt-neg-in_binary64_7197`
139×	`pow-plus_binary64_7302`
136×	`associate-*l/_binary64_7182`
133×	`exp-diff_binary64_7287`
126×	`sqr-pow_binary64_7211`
109×	`pow-sqr_binary64_7212`
103×	`*-commutative_binary64_7170`
102×	`unsub-neg_binary64_7233`
97×	`difference-of-squares_binary64_7208`
91×	`associate-/l*_binary64_7184`
88×	`times-frac_binary64_7245` `distribute-lft-out_binary64_7190` `associate-/l/_binary64_7186`
86×	`associate-/r/_binary64_7185`
83×	`unpow3_binary64_7305`
79×	`associate-*r/_binary64_7181`
77×	`cube-mult_binary64_7269`
74×	`distribute-lft-out--_binary64_7191`
72×	`cube-div_binary64_7268`
66×	`distribute-rgt-in_binary64_7189`
58×	`distribute-lft-neg-in_binary64_7196`
56×	`associate-l_binary64_7180`
54×	`distribute-lft-in_binary64_7188`
53×	`pow-base-1_binary64_7299`
43×	`associate-r_binary64_7179`
42×	`neg-mul-1_binary64_7235` `neg-sub0_binary64_7234`
38×	`associate-/r*_binary64_7183`
37×	`distribute-rgt1-in_binary64_7195` `associate--l+_binary64_7176`
35×	`associate--r+_binary64_7175`
32×	`associate--r-_binary64_7178`
31×	`distribute-neg-in_binary64_7200`
28×	`associate-+l+_binary64_7172`
27×	`*-lft-identity_binary64_7228`
25×	`*-rgt-identity_binary64_7229` `associate-+r+_binary64_7171`
22×	`unswap-sqr_binary64_7207` `+-commutative_binary64_7169`
20×	`distribute-rgt-neg-out_binary64_7199` `associate--l-_binary64_7177`
18×	`rem-sqrt-square_binary64_7252` `distribute-lft-neg-out_binary64_7198`
17×	`+-inverses_binary64_7218`
16×	`div-exp_binary64_7290` `prod-exp_binary64_7288` `cube-neg_binary64_7266` `--rgt-identity_binary64_7225`
14×	`/-rgt-identity_binary64_7230`
12×	`sqr-neg_binary64_7253` `difference-of-sqr--1_binary64_7210`
11×	`+-lft-identity_binary64_7223` `distribute-neg-frac_binary64_7203`
10×	`associate-+l-_binary64_7174`
9×	`exp-lft-sqr_binary64_7294`
8×	`distribute-neg-out_binary64_7201` `count-2_binary64_7187`
6×	`cube-unmult_binary64_7276` `cancel-sign-sub-inv_binary64_7205` `associate-+r-_binary64_7173`
5×	`exp-sqrt_binary64_7292` `exp-neg_binary64_7286`
4×	`rec-exp_binary64_7289` `remove-double-neg_binary64_7227` `remove-double-div_binary64_7215` `distribute-frac-neg_binary64_7202`
3×	`*-inverses_binary64_7219`
2×	`distribute-lft1-in_binary64_7194`
1×	`pow-base-0_binary64_7323` `1-exp_binary64_7283` `exp-1-e_binary64_7282` `+-rgt-identity_binary64_7224` `div0_binary64_7220` `rgt-mult-inverse_binary64_7216` `difference-of-sqr-1_binary64_7209`
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_7502` `erf-erfc_binary64_7501` `erf-odd_binary64_7500` `if-if-and-not_binary64_7499` `if-if-and_binary64_7498` `if-if-or-not_binary64_7497` `if-if-or_binary64_7496` `if-not_binary64_7495` `if-same_binary64_7494` `if-false_binary64_7493` `if-true_binary64_7492` `not-gte_binary64_7491` `not-lte_binary64_7490` `not-gt_binary64_7489` `not-lt_binary64_7488` `gte-same_binary64_7487` `lte-same_binary64_7486` `gt-same_binary64_7485` `lt-same_binary64_7484` `sinh---cosh_binary64_7431` `sinh-+-cosh_binary64_7430` `sinh-cosh_binary64_7429` `tanh-def-c_binary64_7428` `tanh-def-b_binary64_7427` `tanh-def-a_binary64_7426` `cosh-def_binary64_7425` `sinh-def_binary64_7424` `tan-neg_binary64_7371` `cos-neg_binary64_7370` `sin-neg_binary64_7369` `tan-0_binary64_7368` `cos-0_binary64_7367` `sin-0_binary64_7366` `hang-m-tan_binary64_7365` `hang-p-tan_binary64_7364` `hang-m0-tan_binary64_7363` `hang-p0-tan_binary64_7362` `hang-0m-tan_binary64_7361` `hang-0p-tan_binary64_7360` `tan-+PI/2_binary64_7359` `tan-+PI_binary64_7358` `tan-PI_binary64_7357` `tan-PI/3_binary64_7356` `tan-PI/4_binary64_7355` `tan-PI/6_binary64_7354` `cos-+PI/2_binary64_7353` `cos-+PI_binary64_7352` `cos-PI_binary64_7351` `cos-PI/2_binary64_7350` `cos-PI/3_binary64_7349` `cos-PI/4_binary64_7348` `cos-PI/6_binary64_7347` `sin-+PI/2_binary64_7346` `sin-+PI_binary64_7345` `sin-PI_binary64_7344` `sin-PI/2_binary64_7343` `sin-PI/3_binary64_7342` `sin-PI/4_binary64_7341` `sin-PI/6_binary64_7340` `sub-1-sin_binary64_7339` `sub-1-cos_binary64_7338` `-1-add-sin_binary64_7337` `-1-add-cos_binary64_7336` `1-sub-sin_binary64_7335` `1-sub-cos_binary64_7334` `cos-sin-sum_binary64_7333` `log-E_binary64_7329` `log-pow_binary64_7328` `log-rec_binary64_7327` `log-div_binary64_7326` `log-prod_binary64_7325` `unpow1/3_binary64_7306` `unpow2_binary64_7304` `unpow1/2_binary64_7303` `exp-to-pow_binary64_7301` `unpow0_binary64_7298` `unpow1_binary64_7297` `unpow-1_binary64_7296` `exp-lft-cube_binary64_7295` `exp-cbrt_binary64_7293` `e-exp-1_binary64_7284` `exp-0_binary64_7281` `rem-log-exp_binary64_7280` `rem-exp-log_binary64_7279` `rem-3cbrt-rft_binary64_7265` `rem-3cbrt-lft_binary64_7264` `rem-cbrt-cube_binary64_7263` `rem-cube-cbrt_binary64_7262` `sqr-abs_binary64_7254` `rem-square-sqrt_binary64_7251` `mul-1-neg_binary64_7231` `sub0-neg_binary64_7226` `mul0-rgt_binary64_7222` `mul0-lft_binary64_7221` `lft-mult-inverse_binary64_7217` `cancel-sign-sub_binary64_7204`

Counts

1 → 5

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	17	10
2	23	10
3	34	10
4	37	10
5	41	10
6	45	10
7	53	10
8	220	10
9	600	10
10	616	10
11	672	10
12	1164	10
13	2392	10
14	2622	10

prune10.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	2	3	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	4	6

Error

0.0b

Counts

6 → 4

Compiler

Compiled 63 to 39 computations (38.1% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 x (/.f64 z y)))
5.4b	(/.f64 x (/.f64 z y))

rewrite100.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

75×	`times-frac_binary64_7245`
46×	`*-un-lft-identity_binary64_7239`
44×	`add-cube-cbrt_binary64_7274` `add-sqr-sqrt_binary64_7261`
13×	`associate-/r*_binary64_7183`
7×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275`
5×	`div-inv_binary64_7236`
4×	`add-log-exp_binary64_7278`
3×	`div-exp_binary64_7290` `cbrt-undiv_binary64_7273` `associate-/l*_binary64_7184`
2×	`pow1_binary64_7300`
1×	`frac-2neg_binary64_7250` `clear-num_binary64_7238` `associate-/r/_binary64_7185` `sum-log_binary64_7330` `flip3-+_binary64_7242` `flip-+_binary64_7213` `distribute-lft-out_binary64_7190` `+-commutative_binary64_7169`

Counts

2 → 82

Calls

2 calls:

13.0ms	(+.f64 x (/.f64 x (/.f64 z y)))
6.0ms	(/.f64 x (/.f64 z y))

Compiler

Compiled 1338 to 391 computations (70.8% saved)

series332.0ms (2.9%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

168.0ms	(+.f64 x (/.f64 x (/.f64 z y)))
152.0ms	(/.f64 x (/.f64 z y))

Compiler

Compiled 414 to 262 computations (36.7% saved)

simplify323.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

403×	`associate-/r/_binary64_7185`
399×	`associate-/l/_binary64_7186`
369×	`associate-*l/_binary64_7182`
323×	`associate-l_binary64_7180`
266×	`distribute-rgt-out_binary64_7192`
242×	`associate-/r*_binary64_7183`
237×	`distribute-rgt-in_binary64_7189`
236×	`div-sub_binary64_7244`
210×	`associate-*r/_binary64_7181`
204×	`*-commutative_binary64_7170`
202×	`associate-r_binary64_7179`
193×	`distribute-lft-in_binary64_7188`
136×	`cancel-sign-sub-inv_binary64_7205`
124×	`distribute-lft-out_binary64_7190`
120×	`associate-/l*_binary64_7184`
93×	`distribute-rgt-neg-in_binary64_7197`
78×	`distribute-lft-neg-in_binary64_7196`
58×	`unswap-sqr_binary64_7207`
57×	`distribute-neg-frac_binary64_7203`
56×	`associate-+l+_binary64_7172`
53×	`distribute-rgt-out--_binary64_7193`
51×	`associate-+r+_binary64_7171`
48×	`times-frac_binary64_7245`
47×	`sqr-pow_binary64_7211`
46×	`sub-neg_binary64_7232`
39×	`exp-prod_binary64_7291` `cube-prod_binary64_7267` `*-rgt-identity_binary64_7229`
38×	`log-prod_binary64_7325`
34×	`*-lft-identity_binary64_7228` `+-commutative_binary64_7169`
33×	`cube-div_binary64_7268`
31×	`/-rgt-identity_binary64_7230` `swap-sqr_binary64_7206`
29×	`log-div_binary64_7326`
28×	`associate-+l-_binary64_7174`
26×	`neg-sub0_binary64_7234`
23×	`pow-sqr_binary64_7212`
22×	`neg-mul-1_binary64_7235`
21×	`associate--l-_binary64_7177`
20×	`unsub-neg_binary64_7233`
19×	`exp-to-pow_binary64_7301` `distribute-lft-neg-out_binary64_7198`
17×	`prod-exp_binary64_7288`
16×	`div-exp_binary64_7290` `distribute-lft-out--_binary64_7191`
14×	`associate-+r-_binary64_7173`
12×	`log-pow_binary64_7328` `unpow3_binary64_7305` `associate--r+_binary64_7175`
10×	`exp-sum_binary64_7285` `distribute-rgt-neg-out_binary64_7199` `distribute-rgt1-in_binary64_7195`
9×	`pow-plus_binary64_7302` `cube-mult_binary64_7269`
8×	`cube-unmult_binary64_7276`
7×	`distribute-neg-out_binary64_7201`
6×	`sub0-neg_binary64_7226`
5×	`+-rgt-identity_binary64_7224` `associate--r-_binary64_7178` `associate--l+_binary64_7176`
4×	`log-rec_binary64_7327` `rec-exp_binary64_7289` `exp-diff_binary64_7287`
3×	`pow-base-1_binary64_7299` `remove-double-div_binary64_7215` `distribute-neg-in_binary64_7200`
2×	`div0_binary64_7220` `difference-of-squares_binary64_7208` `distribute-lft1-in_binary64_7194`
1×	`1-exp_binary64_7283` `exp-1-e_binary64_7282` `rem-log-exp_binary64_7280` `sqr-neg_binary64_7253` `remove-double-neg_binary64_7227` `mul0-rgt_binary64_7222` `mul0-lft_binary64_7221` `count-2_binary64_7187`
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_7502` `erf-erfc_binary64_7501` `erf-odd_binary64_7500` `if-if-and-not_binary64_7499` `if-if-and_binary64_7498` `if-if-or-not_binary64_7497` `if-if-or_binary64_7496` `if-not_binary64_7495` `if-same_binary64_7494` `if-false_binary64_7493` `if-true_binary64_7492` `not-gte_binary64_7491` `not-lte_binary64_7490` `not-gt_binary64_7489` `not-lt_binary64_7488` `gte-same_binary64_7487` `lte-same_binary64_7486` `gt-same_binary64_7485` `lt-same_binary64_7484` `sinh---cosh_binary64_7431` `sinh-+-cosh_binary64_7430` `sinh-cosh_binary64_7429` `tanh-def-c_binary64_7428` `tanh-def-b_binary64_7427` `tanh-def-a_binary64_7426` `cosh-def_binary64_7425` `sinh-def_binary64_7424` `tan-neg_binary64_7371` `cos-neg_binary64_7370` `sin-neg_binary64_7369` `tan-0_binary64_7368` `cos-0_binary64_7367` `sin-0_binary64_7366` `hang-m-tan_binary64_7365` `hang-p-tan_binary64_7364` `hang-m0-tan_binary64_7363` `hang-p0-tan_binary64_7362` `hang-0m-tan_binary64_7361` `hang-0p-tan_binary64_7360` `tan-+PI/2_binary64_7359` `tan-+PI_binary64_7358` `tan-PI_binary64_7357` `tan-PI/3_binary64_7356` `tan-PI/4_binary64_7355` `tan-PI/6_binary64_7354` `cos-+PI/2_binary64_7353` `cos-+PI_binary64_7352` `cos-PI_binary64_7351` `cos-PI/2_binary64_7350` `cos-PI/3_binary64_7349` `cos-PI/4_binary64_7348` `cos-PI/6_binary64_7347` `sin-+PI/2_binary64_7346` `sin-+PI_binary64_7345` `sin-PI_binary64_7344` `sin-PI/2_binary64_7343` `sin-PI/3_binary64_7342` `sin-PI/4_binary64_7341` `sin-PI/6_binary64_7340` `sub-1-sin_binary64_7339` `sub-1-cos_binary64_7338` `-1-add-sin_binary64_7337` `-1-add-cos_binary64_7336` `1-sub-sin_binary64_7335` `1-sub-cos_binary64_7334` `cos-sin-sum_binary64_7333` `log-E_binary64_7329` `pow-base-0_binary64_7323` `unpow1/3_binary64_7306` `unpow2_binary64_7304` `unpow1/2_binary64_7303` `unpow0_binary64_7298` `unpow1_binary64_7297` `unpow-1_binary64_7296` `exp-lft-cube_binary64_7295` `exp-lft-sqr_binary64_7294` `exp-cbrt_binary64_7293` `exp-sqrt_binary64_7292` `exp-neg_binary64_7286` `e-exp-1_binary64_7284` `exp-0_binary64_7281` `rem-exp-log_binary64_7279` `cube-neg_binary64_7266` `rem-3cbrt-rft_binary64_7265` `rem-3cbrt-lft_binary64_7264` `rem-cbrt-cube_binary64_7263` `rem-cube-cbrt_binary64_7262` `sqr-abs_binary64_7254` `rem-sqrt-square_binary64_7252` `rem-square-sqrt_binary64_7251` `mul-1-neg_binary64_7231` `--rgt-identity_binary64_7225` `+-lft-identity_binary64_7223` `*-inverses_binary64_7219` `+-inverses_binary64_7218` `lft-mult-inverse_binary64_7217` `rgt-mult-inverse_binary64_7216` `difference-of-sqr--1_binary64_7210` `difference-of-sqr-1_binary64_7209` `cancel-sign-sub_binary64_7204` `distribute-frac-neg_binary64_7202`

Counts

106 → 392

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	174	1591
1	382	1555
2	1250	1552
3	3023	1546
4	4670	1546

prune317.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	390	2	392
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	390	6	396

Error

Counts

396 → 6

Compiler

Compiled 6897 to 1274 computations (81.5% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 x (/.f64 y z)))
5.4b	(*.f64 x (/.f64 y z))

rewrite44.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_7261`
13×	`associate-r_binary64_7179`
10×	`add-cube-cbrt_binary64_7274` `*-un-lft-identity_binary64_7239` `times-frac_binary64_7245`
7×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275`
4×	`pow1_binary64_7300` `add-log-exp_binary64_7278`
3×	`associate-l_binary64_7180`
2×	`prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `unswap-sqr_binary64_7207`
1×	`pow-prod-down_binary64_7310` `div-exp_binary64_7290` `cbrt-undiv_binary64_7273` `associate-r/_binary64_7181` `div-inv_binary64_7236` `-commutative_binary64_7170` `sum-log_binary64_7330` `flip3-+_binary64_7242` `flip-+_binary64_7213` `+-commutative_binary64_7169`

Counts

2 → 43

Calls

2 calls:

7.0ms	(*.f64 x (/.f64 y z))
3.0ms	(+.f64 x (*.f64 x (/.f64 y z)))

Compiler

Compiled 615 to 185 computations (69.9% saved)

series352.0ms (3.1%)

Error

Counts

2 → 24

Calls

2 calls:

180.0ms	(+.f64 x (*.f64 x (/.f64 y z)))
160.0ms	(*.f64 x (/.f64 y z))

Compiler

Compiled 414 to 262 computations (36.7% saved)

simplify190.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

354×	`associate-*l/_binary64_7182`
319×	`div-sub_binary64_7244`
315×	`associate-/l*_binary64_7184`
304×	`cancel-sign-sub-inv_binary64_7205`
293×	`associate-*r/_binary64_7181`
283×	`distribute-rgt-in_binary64_7189`
243×	`unswap-sqr_binary64_7207`
231×	`distribute-lft-in_binary64_7188`
201×	`times-frac_binary64_7245`
150×	`associate-/l/_binary64_7186`
148×	`sub-neg_binary64_7232`
140×	`distribute-rgt-out_binary64_7192`
132×	`unsub-neg_binary64_7233`
120×	`sqr-pow_binary64_7211`
118×	`associate-+l+_binary64_7172`
116×	`*-commutative_binary64_7170`
113×	`associate-+r+_binary64_7171`
109×	`*-lft-identity_binary64_7228`
104×	`distribute-neg-frac_binary64_7203`
92×	`associate-l_binary64_7180`
83×	`*-rgt-identity_binary64_7229`
78×	`neg-mul-1_binary64_7235`
72×	`distribute-rgt-neg-in_binary64_7197`
66×	`associate-r_binary64_7179`
64×	`neg-sub0_binary64_7234`
62×	`pow-sqr_binary64_7212` `associate-/r/_binary64_7185`
57×	`distribute-lft-out_binary64_7190`
56×	`distribute-lft-neg-in_binary64_7196`
54×	`cube-div_binary64_7268`
53×	`associate-/r*_binary64_7183`
49×	`log-div_binary64_7326`
47×	`associate-+l-_binary64_7174`
42×	`log-prod_binary64_7325`
40×	`cube-prod_binary64_7267` `sub0-neg_binary64_7226`
38×	`+-commutative_binary64_7169`
37×	`distribute-rgt-out--_binary64_7193`
34×	`exp-prod_binary64_7291`
29×	`swap-sqr_binary64_7206`
28×	`remove-double-div_binary64_7215`
26×	`associate--l-_binary64_7177`
23×	`distribute-lft-neg-out_binary64_7198` `associate-+r-_binary64_7173`
18×	`/-rgt-identity_binary64_7230` `distribute-rgt1-in_binary64_7195`
17×	`log-rec_binary64_7327` `unpow3_binary64_7305`
15×	`cube-mult_binary64_7269`
12×	`+-rgt-identity_binary64_7224` `distribute-lft-out--_binary64_7191`
10×	`prod-exp_binary64_7288` `mul0-lft_binary64_7221`
9×	`div-exp_binary64_7290` `+-lft-identity_binary64_7223` `mul0-rgt_binary64_7222` `distribute-rgt-neg-out_binary64_7199`
8×	`exp-sum_binary64_7285` `div0_binary64_7220` `distribute-neg-out_binary64_7201` `associate--r+_binary64_7175`
7×	`pow-plus_binary64_7302` `distribute-lft1-in_binary64_7194` `associate--l+_binary64_7176`
6×	`log-pow_binary64_7328`
4×	`exp-diff_binary64_7287`
3×	`rec-exp_binary64_7289` `cube-unmult_binary64_7276` `--rgt-identity_binary64_7225` `difference-of-squares_binary64_7208` `associate--r-_binary64_7178`
2×	`exp-to-pow_binary64_7301` `pow-base-1_binary64_7299` `remove-double-neg_binary64_7227` `distribute-frac-neg_binary64_7202`
1×	`1-exp_binary64_7283` `exp-1-e_binary64_7282` `rem-log-exp_binary64_7280` `+-inverses_binary64_7218` `rgt-mult-inverse_binary64_7216` `difference-of-sqr-1_binary64_7209` `distribute-neg-in_binary64_7200` `count-2_binary64_7187`
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_7502` `erf-erfc_binary64_7501` `erf-odd_binary64_7500` `if-if-and-not_binary64_7499` `if-if-and_binary64_7498` `if-if-or-not_binary64_7497` `if-if-or_binary64_7496` `if-not_binary64_7495` `if-same_binary64_7494` `if-false_binary64_7493` `if-true_binary64_7492` `not-gte_binary64_7491` `not-lte_binary64_7490` `not-gt_binary64_7489` `not-lt_binary64_7488` `gte-same_binary64_7487` `lte-same_binary64_7486` `gt-same_binary64_7485` `lt-same_binary64_7484` `sinh---cosh_binary64_7431` `sinh-+-cosh_binary64_7430` `sinh-cosh_binary64_7429` `tanh-def-c_binary64_7428` `tanh-def-b_binary64_7427` `tanh-def-a_binary64_7426` `cosh-def_binary64_7425` `sinh-def_binary64_7424` `tan-neg_binary64_7371` `cos-neg_binary64_7370` `sin-neg_binary64_7369` `tan-0_binary64_7368` `cos-0_binary64_7367` `sin-0_binary64_7366` `hang-m-tan_binary64_7365` `hang-p-tan_binary64_7364` `hang-m0-tan_binary64_7363` `hang-p0-tan_binary64_7362` `hang-0m-tan_binary64_7361` `hang-0p-tan_binary64_7360` `tan-+PI/2_binary64_7359` `tan-+PI_binary64_7358` `tan-PI_binary64_7357` `tan-PI/3_binary64_7356` `tan-PI/4_binary64_7355` `tan-PI/6_binary64_7354` `cos-+PI/2_binary64_7353` `cos-+PI_binary64_7352` `cos-PI_binary64_7351` `cos-PI/2_binary64_7350` `cos-PI/3_binary64_7349` `cos-PI/4_binary64_7348` `cos-PI/6_binary64_7347` `sin-+PI/2_binary64_7346` `sin-+PI_binary64_7345` `sin-PI_binary64_7344` `sin-PI/2_binary64_7343` `sin-PI/3_binary64_7342` `sin-PI/4_binary64_7341` `sin-PI/6_binary64_7340` `sub-1-sin_binary64_7339` `sub-1-cos_binary64_7338` `-1-add-sin_binary64_7337` `-1-add-cos_binary64_7336` `1-sub-sin_binary64_7335` `1-sub-cos_binary64_7334` `cos-sin-sum_binary64_7333` `log-E_binary64_7329` `pow-base-0_binary64_7323` `unpow1/3_binary64_7306` `unpow2_binary64_7304` `unpow1/2_binary64_7303` `unpow0_binary64_7298` `unpow1_binary64_7297` `unpow-1_binary64_7296` `exp-lft-cube_binary64_7295` `exp-lft-sqr_binary64_7294` `exp-cbrt_binary64_7293` `exp-sqrt_binary64_7292` `exp-neg_binary64_7286` `e-exp-1_binary64_7284` `exp-0_binary64_7281` `rem-exp-log_binary64_7279` `cube-neg_binary64_7266` `rem-3cbrt-rft_binary64_7265` `rem-3cbrt-lft_binary64_7264` `rem-cbrt-cube_binary64_7263` `rem-cube-cbrt_binary64_7262` `sqr-abs_binary64_7254` `sqr-neg_binary64_7253` `rem-sqrt-square_binary64_7252` `rem-square-sqrt_binary64_7251` `mul-1-neg_binary64_7231` `*-inverses_binary64_7219` `lft-mult-inverse_binary64_7217` `difference-of-sqr--1_binary64_7210` `cancel-sign-sub_binary64_7204`

Counts

67 → 68

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	709
1	228	685
2	823	682
3	2581	682
4	4066	682

prune58.0ms (0.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	68	6	74

Error

Counts

74 → 6

Compiler

Compiled 1122 to 337 computations (70% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (/.f64 1 z) (.f64 x y)))
6.6b	(.f64 (/.f64 1 z) (.f64 x y))

rewrite62.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-exp-log_binary64_7277`
14×	`add-cbrt-cube_binary64_7275`
13×	`associate-l_binary64_7180`
12×	`prod-exp_binary64_7288`
9×	`add-cube-cbrt_binary64_7274` `add-sqr-sqrt_binary64_7261` `*-un-lft-identity_binary64_7239` `times-frac_binary64_7245`
7×	`pow1_binary64_7300`
6×	`cbrt-unprod_binary64_7272`
4×	`div-exp_binary64_7290` `add-log-exp_binary64_7278`
3×	`pow-prod-down_binary64_7310`
2×	`1-exp_binary64_7283` `rec-exp_binary64_7289` `cbrt-undiv_binary64_7273`
1×	`associate-l/_binary64_7182` `div-inv_binary64_7236` `associate-r_binary64_7179` `-commutative_binary64_7170` `sum-log_binary64_7330` `flip3-+_binary64_7242` `flip-+_binary64_7213` `+-commutative_binary64_7169`

Counts

2 → 48

Calls

2 calls:

8.0ms	(.f64 (/.f64 1 z) (.f64 x y))
4.0ms	(+.f64 x (.f64 (/.f64 1 z) (.f64 x y)))

Compiler

Compiled 806 to 423 computations (47.5% saved)

series330.0ms (2.9%)

Error

Counts

2 → 24

Calls

2 calls:

168.0ms	(+.f64 x (.f64 (/.f64 1 z) (.f64 x y)))
151.0ms	(.f64 (/.f64 1 z) (.f64 x y))

Compiler

Compiled 414 to 262 computations (36.7% saved)

simplify231.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

535×	`associate-/r*_binary64_7183`
490×	`associate-/l/_binary64_7186`
381×	`associate-/r/_binary64_7185`
302×	`times-frac_binary64_7245`
237×	`associate-/l*_binary64_7184`
218×	`distribute-rgt-in_binary64_7189`
211×	`associate-*l/_binary64_7182`
183×	`distribute-lft-in_binary64_7188` `*-commutative_binary64_7170`
146×	`associate-r_binary64_7179`
138×	`distribute-rgt-neg-in_binary64_7197`
135×	`cancel-sign-sub-inv_binary64_7205`
127×	`associate-*r/_binary64_7181`
123×	`associate-l_binary64_7180`
118×	`distribute-lft-neg-in_binary64_7196`
112×	`associate-+l+_binary64_7172`
106×	`unswap-sqr_binary64_7207` `associate-+r+_binary64_7171`
102×	`distribute-rgt-out_binary64_7192`
71×	`distribute-neg-frac_binary64_7203`
64×	`sqr-pow_binary64_7211`
49×	`sub-neg_binary64_7232`
43×	`exp-prod_binary64_7291` `distribute-rgt-out--_binary64_7193`
39×	`+-commutative_binary64_7169`
35×	`neg-mul-1_binary64_7235`
34×	`*-rgt-identity_binary64_7229`
33×	`neg-sub0_binary64_7234` `*-lft-identity_binary64_7228` `distribute-lft-out_binary64_7190`
29×	`div-sub_binary64_7244`
28×	`log-prod_binary64_7325`
27×	`pow-sqr_binary64_7212`
26×	`associate-+l-_binary64_7174`
24×	`swap-sqr_binary64_7206`
22×	`cube-prod_binary64_7267`
18×	`distribute-lft-neg-out_binary64_7198`
17×	`log-div_binary64_7326` `distribute-neg-in_binary64_7200` `associate--r+_binary64_7175` `associate-+r-_binary64_7173`
16×	`unsub-neg_binary64_7233`
15×	`cube-div_binary64_7268`
11×	`log-pow_binary64_7328`
10×	`unpow3_binary64_7305`
9×	`pow-plus_binary64_7302`
8×	`cube-mult_binary64_7269` `/-rgt-identity_binary64_7230`
6×	`distribute-rgt-neg-out_binary64_7199` `distribute-rgt1-in_binary64_7195` `distribute-lft-out--_binary64_7191`
5×	`sub0-neg_binary64_7226` `+-rgt-identity_binary64_7224`
4×	`log-rec_binary64_7327` `exp-to-pow_binary64_7301` `cube-unmult_binary64_7276`
3×	`pow-base-1_binary64_7299` `associate--l+_binary64_7176`
2×	`prod-exp_binary64_7288` `exp-sum_binary64_7285` `difference-of-squares_binary64_7208` `associate--r-_binary64_7178`
1×	`1-exp_binary64_7283` `exp-1-e_binary64_7282` `rem-log-exp_binary64_7280` `rem-cbrt-cube_binary64_7263` `rem-sqrt-square_binary64_7252` `remove-double-neg_binary64_7227` `div0_binary64_7220` `count-2_binary64_7187`
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_7502` `erf-erfc_binary64_7501` `erf-odd_binary64_7500` `if-if-and-not_binary64_7499` `if-if-and_binary64_7498` `if-if-or-not_binary64_7497` `if-if-or_binary64_7496` `if-not_binary64_7495` `if-same_binary64_7494` `if-false_binary64_7493` `if-true_binary64_7492` `not-gte_binary64_7491` `not-lte_binary64_7490` `not-gt_binary64_7489` `not-lt_binary64_7488` `gte-same_binary64_7487` `lte-same_binary64_7486` `gt-same_binary64_7485` `lt-same_binary64_7484` `sinh---cosh_binary64_7431` `sinh-+-cosh_binary64_7430` `sinh-cosh_binary64_7429` `tanh-def-c_binary64_7428` `tanh-def-b_binary64_7427` `tanh-def-a_binary64_7426` `cosh-def_binary64_7425` `sinh-def_binary64_7424` `tan-neg_binary64_7371` `cos-neg_binary64_7370` `sin-neg_binary64_7369` `tan-0_binary64_7368` `cos-0_binary64_7367` `sin-0_binary64_7366` `hang-m-tan_binary64_7365` `hang-p-tan_binary64_7364` `hang-m0-tan_binary64_7363` `hang-p0-tan_binary64_7362` `hang-0m-tan_binary64_7361` `hang-0p-tan_binary64_7360` `tan-+PI/2_binary64_7359` `tan-+PI_binary64_7358` `tan-PI_binary64_7357` `tan-PI/3_binary64_7356` `tan-PI/4_binary64_7355` `tan-PI/6_binary64_7354` `cos-+PI/2_binary64_7353` `cos-+PI_binary64_7352` `cos-PI_binary64_7351` `cos-PI/2_binary64_7350` `cos-PI/3_binary64_7349` `cos-PI/4_binary64_7348` `cos-PI/6_binary64_7347` `sin-+PI/2_binary64_7346` `sin-+PI_binary64_7345` `sin-PI_binary64_7344` `sin-PI/2_binary64_7343` `sin-PI/3_binary64_7342` `sin-PI/4_binary64_7341` `sin-PI/6_binary64_7340` `sub-1-sin_binary64_7339` `sub-1-cos_binary64_7338` `-1-add-sin_binary64_7337` `-1-add-cos_binary64_7336` `1-sub-sin_binary64_7335` `1-sub-cos_binary64_7334` `cos-sin-sum_binary64_7333` `log-E_binary64_7329` `pow-base-0_binary64_7323` `unpow1/3_binary64_7306` `unpow2_binary64_7304` `unpow1/2_binary64_7303` `unpow0_binary64_7298` `unpow1_binary64_7297` `unpow-1_binary64_7296` `exp-lft-cube_binary64_7295` `exp-lft-sqr_binary64_7294` `exp-cbrt_binary64_7293` `exp-sqrt_binary64_7292` `div-exp_binary64_7290` `rec-exp_binary64_7289` `exp-diff_binary64_7287` `exp-neg_binary64_7286` `e-exp-1_binary64_7284` `exp-0_binary64_7281` `rem-exp-log_binary64_7279` `cube-neg_binary64_7266` `rem-3cbrt-rft_binary64_7265` `rem-3cbrt-lft_binary64_7264` `rem-cube-cbrt_binary64_7262` `sqr-abs_binary64_7254` `sqr-neg_binary64_7253` `rem-square-sqrt_binary64_7251` `mul-1-neg_binary64_7231` `--rgt-identity_binary64_7225` `+-lft-identity_binary64_7223` `mul0-rgt_binary64_7222` `mul0-lft_binary64_7221` `*-inverses_binary64_7219` `+-inverses_binary64_7218` `lft-mult-inverse_binary64_7217` `rgt-mult-inverse_binary64_7216` `remove-double-div_binary64_7215` `difference-of-sqr--1_binary64_7210` `difference-of-sqr-1_binary64_7209` `cancel-sign-sub_binary64_7204` `distribute-frac-neg_binary64_7202` `distribute-neg-out_binary64_7201` `distribute-lft1-in_binary64_7194` `associate--l-_binary64_7177`

Counts

72 → 190

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	742
1	267	718
2	865	695
3	2137	692
4	4966	692

prune144.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	190	6	196

Error

Counts

196 → 6

Compiler

Compiled 2982 to 913 computations (69.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.3b	(*.f64 (/.f64 x z) y)
12.9b	(cbrt.f64 (/.f64 x (/.f64 z y)))
12.9b	(cbrt.f64 (/.f64 x (/.f64 z y)))
12.9b	(cbrt.f64 (*.f64 (/.f64 x z) y))

rewrite225.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

142×	`times-frac_binary64_7245`
89×	`cbrt-prod_binary64_7270`
87×	`add-sqr-sqrt_binary64_7261`
82×	`add-cube-cbrt_binary64_7274` `*-un-lft-identity_binary64_7239`
13×	`associate-l_binary64_7180`
9×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275` `div-inv_binary64_7236`
6×	`pow1_binary64_7300`
4×	`add-log-exp_binary64_7278`
3×	`pow1/3_binary64_7321` `cbrt-div_binary64_7271` `associate-r_binary64_7179`
2×	`associate-*l/_binary64_7182` `associate-/r/_binary64_7185` `prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `unswap-sqr_binary64_7207`
1×	`pow-prod-down_binary64_7310` `div-exp_binary64_7290` `cbrt-undiv_binary64_7273` `*-commutative_binary64_7170`

Counts

4 → 148

Calls

4 calls:

7.0ms	(*.f64 (/.f64 x z) y)
6.0ms	(cbrt.f64 (/.f64 x (/.f64 z y)))
5.0ms	(cbrt.f64 (/.f64 x (/.f64 z y)))
4.0ms	(cbrt.f64 (*.f64 (/.f64 x z) y))

Compiler

Compiled 4697 to 1005 computations (78.6% saved)

series1.8s (15.6%)

Error

Counts

4 → 36

Calls

4 calls:

525.0ms	(cbrt.f64 (*.f64 (/.f64 x z) y))
523.0ms	(cbrt.f64 (/.f64 x (/.f64 z y)))
518.0ms	(cbrt.f64 (/.f64 x (/.f64 z y)))
151.0ms	(*.f64 (/.f64 x z) y)

Compiler

Compiled 2889 to 1579 computations (45.3% saved)

simplify2.9s (25.8%)

Algorithm

1×	egg-herbie

Rules

489×	`times-frac_binary64_7245`
382×	`associate-*l/_binary64_7182`
381×	`associate-/l*_binary64_7184`
354×	`associate-l_binary64_7180`
259×	`exp-prod_binary64_7291`
241×	`associate-*r/_binary64_7181`
240×	`associate-/l/_binary64_7186`
235×	`associate-r_binary64_7179`
197×	`associate-/r/_binary64_7185`
188×	`*-commutative_binary64_7170`
174×	`associate-/r*_binary64_7183`
168×	`exp-sum_binary64_7285`
109×	`distribute-rgt-in_binary64_7189`
103×	`unswap-sqr_binary64_7207`
98×	`log-prod_binary64_7325`
94×	`exp-diff_binary64_7287`
93×	`associate-+l-_binary64_7174`
86×	`unsub-neg_binary64_7233`
85×	`cancel-sign-sub-inv_binary64_7205`
83×	`div-sub_binary64_7244` `sub-neg_binary64_7232`
81×	`sqr-pow_binary64_7211`
72×	`associate-+r+_binary64_7171`
69×	`distribute-lft-in_binary64_7188`
61×	`log-div_binary64_7326`
57×	`log-pow_binary64_7328`
56×	`exp-to-pow_binary64_7301`
55×	`associate-+l+_binary64_7172`
53×	`associate--l-_binary64_7177`
52×	`associate-+r-_binary64_7173`
50×	`associate--r-_binary64_7178`
46×	`distribute-neg-out_binary64_7201`
41×	`associate--r+_binary64_7175`
36×	`+-commutative_binary64_7169`
34×	`pow-sqr_binary64_7212`
33×	`*-rgt-identity_binary64_7229`
32×	`/-rgt-identity_binary64_7230`
31×	`cube-prod_binary64_7267`
30×	`associate--l+_binary64_7176`
29×	`distribute-lft-out_binary64_7190`
24×	`neg-mul-1_binary64_7235` `swap-sqr_binary64_7206`
23×	`pow-plus_binary64_7302` `cube-div_binary64_7268` `neg-sub0_binary64_7234`
22×	`unpow1/3_binary64_7306` `*-lft-identity_binary64_7228`
21×	`log-rec_binary64_7327`
20×	`sub0-neg_binary64_7226`
19×	`distribute-lft-neg-in_binary64_7196`
18×	`unpow3_binary64_7305`
16×	`distribute-rgt-out_binary64_7192`
15×	`distribute-neg-in_binary64_7200` `distribute-rgt-neg-out_binary64_7199` `distribute-lft-neg-out_binary64_7198`
12×	`exp-neg_binary64_7286` `remove-double-div_binary64_7215`
11×	`distribute-rgt-neg-in_binary64_7197` `distribute-rgt-out--_binary64_7193`
10×	`rem-exp-log_binary64_7279`
9×	`distribute-frac-neg_binary64_7202`
8×	`cube-unmult_binary64_7276`
7×	`prod-exp_binary64_7288` `distribute-lft-out--_binary64_7191`
6×	`remove-double-neg_binary64_7227`
5×	`+-rgt-identity_binary64_7224`
4×	`pow-base-1_binary64_7299`
3×	`cube-mult_binary64_7269` `rem-sqrt-square_binary64_7252` `+-lft-identity_binary64_7223`
2×	`rem-3cbrt-lft_binary64_7264` `--rgt-identity_binary64_7225` `mul0-lft_binary64_7221` `distribute-rgt1-in_binary64_7195` `count-2_binary64_7187`
1×	`exp-sqrt_binary64_7292` `div-exp_binary64_7290` `rec-exp_binary64_7289` `1-exp_binary64_7283` `exp-1-e_binary64_7282` `rem-log-exp_binary64_7280` `rem-cbrt-cube_binary64_7263` `mul0-rgt_binary64_7222` `div0_binary64_7220`
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_7502` `erf-erfc_binary64_7501` `erf-odd_binary64_7500` `if-if-and-not_binary64_7499` `if-if-and_binary64_7498` `if-if-or-not_binary64_7497` `if-if-or_binary64_7496` `if-not_binary64_7495` `if-same_binary64_7494` `if-false_binary64_7493` `if-true_binary64_7492` `not-gte_binary64_7491` `not-lte_binary64_7490` `not-gt_binary64_7489` `not-lt_binary64_7488` `gte-same_binary64_7487` `lte-same_binary64_7486` `gt-same_binary64_7485` `lt-same_binary64_7484` `sinh---cosh_binary64_7431` `sinh-+-cosh_binary64_7430` `sinh-cosh_binary64_7429` `tanh-def-c_binary64_7428` `tanh-def-b_binary64_7427` `tanh-def-a_binary64_7426` `cosh-def_binary64_7425` `sinh-def_binary64_7424` `tan-neg_binary64_7371` `cos-neg_binary64_7370` `sin-neg_binary64_7369` `tan-0_binary64_7368` `cos-0_binary64_7367` `sin-0_binary64_7366` `hang-m-tan_binary64_7365` `hang-p-tan_binary64_7364` `hang-m0-tan_binary64_7363` `hang-p0-tan_binary64_7362` `hang-0m-tan_binary64_7361` `hang-0p-tan_binary64_7360` `tan-+PI/2_binary64_7359` `tan-+PI_binary64_7358` `tan-PI_binary64_7357` `tan-PI/3_binary64_7356` `tan-PI/4_binary64_7355` `tan-PI/6_binary64_7354` `cos-+PI/2_binary64_7353` `cos-+PI_binary64_7352` `cos-PI_binary64_7351` `cos-PI/2_binary64_7350` `cos-PI/3_binary64_7349` `cos-PI/4_binary64_7348` `cos-PI/6_binary64_7347` `sin-+PI/2_binary64_7346` `sin-+PI_binary64_7345` `sin-PI_binary64_7344` `sin-PI/2_binary64_7343` `sin-PI/3_binary64_7342` `sin-PI/4_binary64_7341` `sin-PI/6_binary64_7340` `sub-1-sin_binary64_7339` `sub-1-cos_binary64_7338` `-1-add-sin_binary64_7337` `-1-add-cos_binary64_7336` `1-sub-sin_binary64_7335` `1-sub-cos_binary64_7334` `cos-sin-sum_binary64_7333` `log-E_binary64_7329` `pow-base-0_binary64_7323` `unpow2_binary64_7304` `unpow1/2_binary64_7303` `unpow0_binary64_7298` `unpow1_binary64_7297` `unpow-1_binary64_7296` `exp-lft-cube_binary64_7295` `exp-lft-sqr_binary64_7294` `exp-cbrt_binary64_7293` `e-exp-1_binary64_7284` `exp-0_binary64_7281` `cube-neg_binary64_7266` `rem-3cbrt-rft_binary64_7265` `rem-cube-cbrt_binary64_7262` `sqr-abs_binary64_7254` `sqr-neg_binary64_7253` `rem-square-sqrt_binary64_7251` `mul-1-neg_binary64_7231` `*-inverses_binary64_7219` `+-inverses_binary64_7218` `lft-mult-inverse_binary64_7217` `rgt-mult-inverse_binary64_7216` `difference-of-sqr--1_binary64_7210` `difference-of-sqr-1_binary64_7209` `difference-of-squares_binary64_7208` `cancel-sign-sub_binary64_7204` `distribute-neg-frac_binary64_7203` `distribute-lft1-in_binary64_7194`

Counts

184 → 1098

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	299	3543
1	515	3309
2	1297	3257
3	3470	3150
4	4782	3106

prune1.4s (12.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1098	0	1098
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	1098	6	1104

Error

Counts

1104 → 6

Compiler

Compiled 35597 to 5084 computations (85.7% saved)

regimes235.0ms (2.1%)

Accuracy

Total 0.5b remaining (98.8%)

Threshold costs 0.5b (98.8%)

Compiler

Compiled 796 to 626 computations (21.4% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64_7170` `+-commutative_binary64_7169`
1×	`1-exp_binary64_7283`
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_7499` `if-if-and_binary64_7498` `if-if-or-not_binary64_7497` `if-if-or_binary64_7496` `if-not_binary64_7495` `if-same_binary64_7494` `if-false_binary64_7493` `if-true_binary64_7492` `tan-0_binary64_7368` `cos-0_binary64_7367` `sin-0_binary64_7366` `unpow1_binary64_7297` `e-exp-1_binary64_7284` `exp-1-e_binary64_7282` `exp-0_binary64_7281` `sqr-abs_binary64_7254` `sqr-neg_binary64_7253` `neg-mul-1_binary64_7235` `neg-sub0_binary64_7234` `unsub-neg_binary64_7233` `sub-neg_binary64_7232` `mul-1-neg_binary64_7231` `/-rgt-identity_binary64_7230` `-rgt-identity_binary64_7229` `-lft-identity_binary64_7228` `remove-double-neg_binary64_7227` `sub0-neg_binary64_7226` `--rgt-identity_binary64_7225` `+-rgt-identity_binary64_7224` `+-lft-identity_binary64_7223` `cancel-sign-sub-inv_binary64_7205` `cancel-sign-sub_binary64_7204` `distribute-neg-frac_binary64_7203` `distribute-frac-neg_binary64_7202` `distribute-neg-out_binary64_7201` `distribute-neg-in_binary64_7200` `distribute-rgt-neg-out_binary64_7199` `distribute-lft-neg-out_binary64_7198` `distribute-rgt-neg-in_binary64_7197` `distribute-lft-neg-in_binary64_7196`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	116
1	41	116

Proof

(if real (<= f64 (/ f64 (* f64 h0 (+ f64 h1 h2)) h2) h3) (+ f64 h0 (/ f64 h0 (/ f64 h2 h1))) (if real (<= f64 (/ f64 (* f64 h0 (+ f64 h1 h2)) h2) -41062700574637671882989325364930646056360930026608910864237051308087541509174171851031745555294443071499654337211732833861632) (+ f64 h0 (* f64 (/ f64 1 h2) (* f64 h0 h1))) (if real (<= f64 (/ f64 (* f64 h0 (+ f64 h1 h2)) h2) 8101654669496653/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928) (+ f64 h0 (/ f64 h0 (/ f64 h2 h1))) (if real (<= f64 (/ f64 (* f64 h0 (+ f64 h1 h2)) h2) 75367768443051554742567876254354861289508214887286808845474456985323936045784499370788457458498580854938111267852941460578091647666686128248468196964875915419889288368925088724064758039128828485792498043692994234541436592724939593205217151361551617678330882018049865272352200385248409395254697046048768) (+ f64 h0 (* f64 (/ f64 1 h2) (* f64 h0 h1))) (+ f64 h0 (* f64 h0 (/ f64 h1 h2)))))))

end0.0ms (0%)

sample847.0ms (7.5%)

Algorithm

1×

intervals

Results

223.0ms	8000×	body	128	valid
23.0ms	725×	body	128	invalid

Compiler

Compiled 288 to 198 computations (31.3% saved)

Details

analyze600.0ms (5.3%)

sample19.0ms (0.2%)

simplify752.0ms (6.7%)

prune10.0ms (0.1%)

localize9.0ms (0.1%)

rewrite100.0ms (0.9%)

series332.0ms (2.9%)

simplify323.0ms (2.9%)

prune317.0ms (2.8%)

localize5.0ms (0%)

rewrite44.0ms (0.4%)

series352.0ms (3.1%)

simplify190.0ms (1.7%)

prune58.0ms (0.5%)

localize7.0ms (0.1%)

rewrite62.0ms (0.6%)

series330.0ms (2.9%)

simplify231.0ms (2.1%)

prune144.0ms (1.3%)

localize13.0ms (0.1%)

rewrite225.0ms (2%)

series1.8s (15.6%)

simplify2.9s (25.8%)

prune1.4s (12.2%)

regimes235.0ms (2.1%)

bsearch1.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample847.0ms (7.5%)

Profiling