Details

analyze57.0ms (1.9%)

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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
43.7%	34.3%	22%	7
46.8%	29.7%	23.5%	8
58.5%	17.2%	24.3%	9
60.5%	14.8%	24.7%	10
66.5%	8.6%	24.9%	11
67.6%	7.4%	25%	12
70.7%	4.3%	25%	13
71.2%	3.7%	25%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample13.0ms (0.4%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify594.0ms (19.9%)

Algorithm

1×	egg-herbie

Rules

782×	`exp-prod_binary64_7291`
601×	`swap-sqr_binary64_7206`
364×	`distribute-rgt-neg-in_binary64_7197`
337×	`distribute-neg-in_binary64_7200`
276×	`distribute-rgt1-in_binary64_7195`
240×	`distribute-lft-neg-in_binary64_7196`
231×	`exp-sum_binary64_7285`
227×	`sub-neg_binary64_7232`
192×	`distribute-rgt-in_binary64_7189`
150×	`sqr-pow_binary64_7211`
129×	`unsub-neg_binary64_7233`
127×	`neg-mul-1_binary64_7235`
126×	`*-commutative_binary64_7170`
123×	`neg-sub0_binary64_7234`
103×	`associate-+l-_binary64_7174`
102×	`exp-diff_binary64_7287`
100×	`distribute-rgt-out_binary64_7192`
97×	`associate-+l+_binary64_7172`
96×	`distribute-lft-in_binary64_7188`
92×	`associate-r_binary64_7179`
85×	`associate--r+_binary64_7175` `associate-+r+_binary64_7171`
84×	`pow-sqr_binary64_7212`
82×	`pow-plus_binary64_7302`
70×	`distribute-rgt-out--_binary64_7193` `associate--l+_binary64_7176` `associate-+r-_binary64_7173`
63×	`cancel-sign-sub-inv_binary64_7205`
58×	`associate-l_binary64_7180`
51×	`associate--r-_binary64_7178`
44×	`distribute-lft-neg-out_binary64_7198` `distribute-lft-out_binary64_7190`
43×	`associate--l-_binary64_7177`
41×	`distribute-rgt-neg-out_binary64_7199`
40×	`distribute-lft-out--_binary64_7191`
37×	`+-commutative_binary64_7169`
21×	`sub0-neg_binary64_7226`
20×	`distribute-neg-out_binary64_7201`
19×	`sqr-neg_binary64_7253`
18×	`remove-double-neg_binary64_7227`
14×	`exp-lft-sqr_binary64_7294`
11×	`distribute-lft1-in_binary64_7194`
9×	`cube-prod_binary64_7267`
8×	`exp-neg_binary64_7286` `*-rgt-identity_binary64_7229` `+-inverses_binary64_7218` `count-2_binary64_7187`
7×	`+-lft-identity_binary64_7223` `mul0-lft_binary64_7221`
6×	`cube-unmult_binary64_7276` `div-sub_binary64_7244` `--rgt-identity_binary64_7225`
5×	`mul0-rgt_binary64_7222`
4×	`*-lft-identity_binary64_7228` `+-rgt-identity_binary64_7224` `difference-of-squares_binary64_7208`
2×	`cube-neg_binary64_7266` `difference-of-sqr--1_binary64_7210` `unswap-sqr_binary64_7207`
1×	`1-exp_binary64_7283` `distribute-neg-frac_binary64_7203`
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` `pow-base-0_binary64_7323` `unpow1/3_binary64_7306` `unpow3_binary64_7305` `unpow2_binary64_7304` `unpow1/2_binary64_7303` `exp-to-pow_binary64_7301` `pow-base-1_binary64_7299` `unpow0_binary64_7298` `unpow1_binary64_7297` `unpow-1_binary64_7296` `exp-lft-cube_binary64_7295` `exp-cbrt_binary64_7293` `exp-sqrt_binary64_7292` `div-exp_binary64_7290` `rec-exp_binary64_7289` `prod-exp_binary64_7288` `e-exp-1_binary64_7284` `exp-1-e_binary64_7282` `exp-0_binary64_7281` `rem-log-exp_binary64_7280` `rem-exp-log_binary64_7279` `cube-mult_binary64_7269` `cube-div_binary64_7268` `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` `times-frac_binary64_7245` `mul-1-neg_binary64_7231` `/-rgt-identity_binary64_7230` `div0_binary64_7220` `-inverses_binary64_7219` `lft-mult-inverse_binary64_7217` `rgt-mult-inverse_binary64_7216` `remove-double-div_binary64_7215` `difference-of-sqr-1_binary64_7209` `cancel-sign-sub_binary64_7204` `distribute-frac-neg_binary64_7202` `associate-/l/_binary64_7186` `associate-/r/_binary64_7185` `associate-/l_binary64_7184` `associate-/r_binary64_7183` `associate-l/_binary64_7182` `associate-*r/_binary64_7181`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	17	7
3	25	7
4	40	7
5	53	7
6	121	7
7	676	7
8	2201	7

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 5 to 4 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 y y))

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_7278`
2×	`add-sqr-sqrt_binary64_7261`
1×	`diff-log_binary64_7331` `pow1_binary64_7300` `add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275` `add-cube-cbrt_binary64_7274` `flip3--_binary64_7243` `*-un-lft-identity_binary64_7239` `sub-neg_binary64_7232` `flip--_binary64_7214` `difference-of-squares_binary64_7208` `cancel-sign-sub-inv_binary64_7205`

Counts

1 → 13

Calls

1 calls:

3.0ms

(-.f64 x (*.f64 y y))

Compiler

Compiled 152 to 47 computations (69.1% saved)

series99.0ms (3.3%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

93.0ms

(-.f64 x (*.f64 y y))

Compiler

Compiled 126 to 116 computations (7.9% saved)

simplify139.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

556×	`unswap-sqr_binary64_7207`
446×	`associate-l_binary64_7180`
376×	`exp-prod_binary64_7291`
313×	`associate-r_binary64_7179`
312×	`times-frac_binary64_7245` `cancel-sign-sub-inv_binary64_7205`
211×	`distribute-rgt-neg-in_binary64_7197`
197×	`distribute-lft-neg-in_binary64_7196`
166×	`distribute-rgt-neg-out_binary64_7199`
158×	`distribute-lft-neg-out_binary64_7198`
156×	`distribute-rgt-in_binary64_7189`
151×	`unsub-neg_binary64_7233`
127×	`distribute-lft-in_binary64_7188`
111×	`associate-/l*_binary64_7184`
83×	`associate-/l/_binary64_7186`
78×	`sqr-pow_binary64_7211`
68×	`+-commutative_binary64_7169`
66×	`pow-plus_binary64_7302` `associate-/r*_binary64_7183`
62×	`associate-*l/_binary64_7182`
59×	`difference-of-squares_binary64_7208`
53×	`associate-/r/_binary64_7185`
52×	`neg-sub0_binary64_7234`
51×	`associate-*r/_binary64_7181`
48×	`*-commutative_binary64_7170`
47×	`sub-neg_binary64_7232`
42×	`pow-sqr_binary64_7212`
41×	`distribute-neg-in_binary64_7200`
36×	`associate-+l-_binary64_7174`
35×	`neg-mul-1_binary64_7235` `swap-sqr_binary64_7206` `distribute-neg-out_binary64_7201`
32×	`exp-sum_binary64_7285`
29×	`associate-+r+_binary64_7171`
24×	`distribute-rgt-out--_binary64_7193` `associate--r+_binary64_7175` `associate-+l+_binary64_7172`
20×	`mul0-rgt_binary64_7222` `mul0-lft_binary64_7221`
19×	`unpow3_binary64_7305`
18×	`distribute-rgt1-in_binary64_7195` `associate-+r-_binary64_7173`
15×	`cube-unmult_binary64_7276` `cube-prod_binary64_7267`
12×	`exp-diff_binary64_7287` `+-rgt-identity_binary64_7224`
11×	`distribute-rgt-out_binary64_7192`
9×	`exp-sqrt_binary64_7292`
8×	`mul-1-neg_binary64_7231`
7×	`sub0-neg_binary64_7226`
6×	`associate--l+_binary64_7176`
5×	`distribute-lft1-in_binary64_7194` `distribute-lft-out--_binary64_7191`
4×	`sqr-neg_binary64_7253` `distribute-lft-out_binary64_7190`
3×	`exp-lft-sqr_binary64_7294` `/-rgt-identity_binary64_7230`
2×	`log-prod_binary64_7325` `div-exp_binary64_7290` `exp-neg_binary64_7286` `cube-mult_binary64_7269` `div-sub_binary64_7244` `--rgt-identity_binary64_7225` `+-lft-identity_binary64_7223` `count-2_binary64_7187`
1×	`unpow2_binary64_7304` `unpow1_binary64_7297` `rec-exp_binary64_7289` `1-exp_binary64_7283` `cube-neg_binary64_7266` `-rgt-identity_binary64_7229` `remove-double-neg_binary64_7227` `-inverses_binary64_7219` `rgt-mult-inverse_binary64_7216` `cancel-sign-sub_binary64_7204` `distribute-frac-neg_binary64_7202`
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` `pow-base-0_binary64_7323` `unpow1/3_binary64_7306` `unpow1/2_binary64_7303` `exp-to-pow_binary64_7301` `pow-base-1_binary64_7299` `unpow0_binary64_7298` `unpow-1_binary64_7296` `exp-lft-cube_binary64_7295` `exp-cbrt_binary64_7293` `prod-exp_binary64_7288` `e-exp-1_binary64_7284` `exp-1-e_binary64_7282` `exp-0_binary64_7281` `rem-log-exp_binary64_7280` `rem-exp-log_binary64_7279` `cube-div_binary64_7268` `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` `*-lft-identity_binary64_7228` `div0_binary64_7220` `+-inverses_binary64_7218` `lft-mult-inverse_binary64_7217` `remove-double-div_binary64_7215` `difference-of-sqr--1_binary64_7210` `difference-of-sqr-1_binary64_7209` `distribute-neg-frac_binary64_7203` `associate--r-_binary64_7178` `associate--l-_binary64_7177`

Counts

25 → 29

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	241
1	82	223
2	226	223
3	532	223
4	2064	223
5	4569	223

prune23.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	2	30

Error

0.0b

Counts

30 → 2

Compiler

Compiled 389 to 130 computations (66.6% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (.f64 y (*.f64 y y)))
0.1b	(.f64 y (.f64 y y))
2.9b	(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 y y))))
30.3b	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 y y)))) (+.f64 x (*.f64 y y)))

rewrite129.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

41×	`pow1_binary64_7300`
23×	`add-cbrt-cube_binary64_7275`
20×	`add-exp-log_binary64_7277`
15×	`add-sqr-sqrt_binary64_7261` `pow-prod-up_binary64_7309`
14×	`add-cube-cbrt_binary64_7274` `*-un-lft-identity_binary64_7239`
9×	`times-frac_binary64_7245` `pow-prod-down_binary64_7310` `prod-exp_binary64_7288` `cbrt-unprod_binary64_7272`
6×	`add-log-exp_binary64_7278` `associate-l_binary64_7180`
3×	`associate-/l_binary64_7184` `associate-/r_binary64_7183`
2×	`flip3--_binary64_7243` `associate-/l/_binary64_7186` `flip--_binary64_7214` `associate-/r/_binary64_7185` `pow2_binary64_7320` `pow-plus_binary64_7302` `pow-sqr_binary64_7212` `cube-unmult_binary64_7276` `associate-r_binary64_7179` `*-commutative_binary64_7170`
1×	`div-exp_binary64_7290` `cbrt-undiv_binary64_7273` `frac-2neg_binary64_7250` `div-sub_binary64_7244` `clear-num_binary64_7238` `div-inv_binary64_7236` `flip3-+_binary64_7242` `flip-+_binary64_7213` `diff-log_binary64_7331` `sub-neg_binary64_7232` `cancel-sign-sub-inv_binary64_7205` `rem-3cbrt-rft_binary64_7265` `unswap-sqr_binary64_7207`

Counts

4 → 95

Calls

4 calls:

9.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 y y)))) (+.f64 x (*.f64 y y)))
8.0ms	(.f64 y (.f64 y (*.f64 y y)))
6.0ms	(.f64 y (.f64 y y))
4.0ms	(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 y y))))

Compiler

Compiled 2526 to 427 computations (83.1% saved)

series578.0ms (19.3%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

267.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 y y)))) (+.f64 x (*.f64 y y)))
197.0ms	(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 y y))))
50.0ms	(.f64 y (.f64 y y))
47.0ms	(.f64 y (.f64 y (*.f64 y y)))

Compiler

Compiled 732 to 488 computations (33.3% saved)

simplify358.0ms (12%)

Algorithm

1×	egg-herbie

Rules

405×	`times-frac_binary64_7245`
288×	`associate-/l*_binary64_7184`
238×	`distribute-rgt-in_binary64_7189`
234×	`distribute-lft-in_binary64_7188`
196×	`associate-*l/_binary64_7182`
167×	`associate-/l/_binary64_7186` `*-commutative_binary64_7170`
166×	`associate-*r/_binary64_7181`
155×	`associate-/r/_binary64_7185`
154×	`unswap-sqr_binary64_7207`
153×	`associate-/r*_binary64_7183`
148×	`exp-prod_binary64_7291`
137×	`log-prod_binary64_7325`
119×	`log-div_binary64_7326` `cube-div_binary64_7268` `distribute-rgt-neg-in_binary64_7197`
115×	`cancel-sign-sub-inv_binary64_7205` `associate-l_binary64_7180`
107×	`distribute-lft-neg-in_binary64_7196`
98×	`associate-r_binary64_7179`
77×	`div-sub_binary64_7244`
57×	`exp-sum_binary64_7285` `sqr-pow_binary64_7211`
50×	`associate-+l+_binary64_7172`
47×	`associate-+r+_binary64_7171`
40×	`pow-plus_binary64_7302`
34×	`distribute-neg-frac_binary64_7203`
32×	`sub-neg_binary64_7232`
31×	`distribute-rgt-out_binary64_7192` `+-commutative_binary64_7169`
30×	`pow-sqr_binary64_7212`
28×	`neg-sub0_binary64_7234`
27×	`neg-mul-1_binary64_7235`
23×	`difference-of-squares_binary64_7208`
19×	`unpow3_binary64_7305`
18×	`exp-diff_binary64_7287`
17×	`distribute-lft-neg-out_binary64_7198`
16×	`cube-unmult_binary64_7276` `cube-prod_binary64_7267`
15×	`log-rec_binary64_7327`
14×	`associate-+l-_binary64_7174`
12×	`swap-sqr_binary64_7206` `associate-+r-_binary64_7173`
11×	`log-pow_binary64_7328` `cube-mult_binary64_7269`
10×	`div-exp_binary64_7290` `distribute-neg-in_binary64_7200`
9×	`prod-exp_binary64_7288` `/-rgt-identity_binary64_7230`
7×	`exp-sqrt_binary64_7292` `*-rgt-identity_binary64_7229` `distribute-rgt-neg-out_binary64_7199`
6×	`distribute-lft-out_binary64_7190`
5×	`distribute-rgt1-in_binary64_7195` `associate--r+_binary64_7175`
4×	`*-inverses_binary64_7219`
3×	`exp-lft-sqr_binary64_7294` `rec-exp_binary64_7289` `count-2_binary64_7187`
2×	`unpow2_binary64_7304` `unpow1_binary64_7297` `exp-neg_binary64_7286` `rem-sqrt-square_binary64_7252` `unsub-neg_binary64_7233` `mul-1-neg_binary64_7231` `associate--r-_binary64_7178` `associate--l+_binary64_7176`
1×	`1-exp_binary64_7283` `rem-log-exp_binary64_7280` `rem-cbrt-cube_binary64_7263` `*-lft-identity_binary64_7228` `remove-double-neg_binary64_7227` `+-rgt-identity_binary64_7224` `distribute-rgt-out--_binary64_7193` `associate--l-_binary64_7177`
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` `unpow1/2_binary64_7303` `exp-to-pow_binary64_7301` `pow-base-1_binary64_7299` `unpow0_binary64_7298` `unpow-1_binary64_7296` `exp-lft-cube_binary64_7295` `exp-cbrt_binary64_7293` `e-exp-1_binary64_7284` `exp-1-e_binary64_7282` `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` `sub0-neg_binary64_7226` `--rgt-identity_binary64_7225` `+-lft-identity_binary64_7223` `mul0-rgt_binary64_7222` `mul0-lft_binary64_7221` `div0_binary64_7220` `+-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` `distribute-lft-out--_binary64_7191`

Counts

125 → 334

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	140	1923
1	332	1765
2	1217	1604
3	4263	1595

prune422.0ms (14.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	334	0	334
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	334	2	336

Error

0.0b

Counts

336 → 2

Compiler

Compiled 8987 to 3228 computations (64.1% saved)

regimes71.0ms (2.4%)

Accuracy

Total 0.0b remaining (61.4%)

Threshold costs 0.0b (61.4%)

Compiler

Compiled 464 to 314 computations (32.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64_7232` `+-commutative_binary64_7169`
2×	`neg-mul-1_binary64_7235` `neg-sub0_binary64_7234` `*-commutative_binary64_7170`
1×	`cancel-sign-sub-inv_binary64_7205` `distribute-lft-neg-out_binary64_7198` `distribute-rgt-neg-in_binary64_7197`
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` `1-exp_binary64_7283` `exp-1-e_binary64_7282` `exp-0_binary64_7281` `sqr-abs_binary64_7254` `sqr-neg_binary64_7253` `unsub-neg_binary64_7233` `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_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-in_binary64_7196`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	17	7
3	21	7
4	23	7

Proof

(- f64 h0 (* f64 h1 h1))

end0.0ms (0%)

sample479.0ms (16%)

Algorithm

1×

intervals

Results

141.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 122 to 84 computations (31.1% saved)

Details

analyze57.0ms (1.9%)

sample13.0ms (0.4%)

simplify594.0ms (19.9%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite12.0ms (0.4%)

series99.0ms (3.3%)

simplify139.0ms (4.6%)

prune23.0ms (0.8%)

localize9.0ms (0.3%)

rewrite129.0ms (4.3%)

series578.0ms (19.3%)

simplify358.0ms (12%)

prune422.0ms (14.1%)

regimes71.0ms (2.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample479.0ms (16%)

Profiling