Details

analyze2.7s (17.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

489×	`neg-mul-1_binary64_7235`
432×	`+-commutative_binary64_7169`
427×	`cancel-sign-sub_binary64_7204`
414×	`associate-+l+_binary64_7172`
395×	`associate-+r+_binary64_7171`
365×	`cancel-sign-sub-inv_binary64_7205`
358×	`sub-neg_binary64_7232`
352×	`distribute-lft-out--_binary64_7191`
337×	`neg-sub0_binary64_7234`
329×	`distribute-lft-neg-in_binary64_7196`
314×	`associate-+l-_binary64_7174`
266×	`distribute-neg-in_binary64_7200`
244×	`unsub-neg_binary64_7233`
206×	`remove-double-neg_binary64_7227`
205×	`distribute-rgt-neg-in_binary64_7197`
197×	`associate-+r-_binary64_7173`
187×	`distribute-lft-neg-out_binary64_7198`
178×	`distribute-rgt-neg-out_binary64_7199`
174×	`associate--l+_binary64_7176`
172×	`div-sub_binary64_7244`
152×	`associate--r+_binary64_7175`
116×	`*-commutative_binary64_7170`
108×	`sub0-neg_binary64_7226`
106×	`associate-/l*_binary64_7184`
95×	`associate--r-_binary64_7178`
88×	`distribute-frac-neg_binary64_7202`
84×	`distribute-neg-frac_binary64_7203`
76×	`+-rgt-identity_binary64_7224`
74×	`distribute-rgt-in_binary64_7189`
56×	`associate-/r/_binary64_7185`
53×	`--rgt-identity_binary64_7225`
46×	`associate-r_binary64_7179`
44×	`distribute-lft-in_binary64_7188`
38×	`associate--l-_binary64_7177`
34×	`associate-l_binary64_7180`
33×	`associate-*l/_binary64_7182`
21×	`div0_binary64_7220`
19×	`distribute-neg-out_binary64_7201`
14×	`mul0-rgt_binary64_7222` `mul0-lft_binary64_7221`
4×	`distribute-rgt-out_binary64_7192`
1×	`1-exp_binary64_7283` `swap-x-y` `swap-z-t` `swap-a-b`
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` `pow-plus_binary64_7302` `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-lft-sqr_binary64_7294` `exp-cbrt_binary64_7293` `exp-sqrt_binary64_7292` `exp-prod_binary64_7291` `div-exp_binary64_7290` `rec-exp_binary64_7289` `prod-exp_binary64_7288` `exp-diff_binary64_7287` `exp-neg_binary64_7286` `exp-sum_binary64_7285` `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-unmult_binary64_7276` `cube-mult_binary64_7269` `cube-div_binary64_7268` `cube-prod_binary64_7267` `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` `times-frac_binary64_7245` `mul-1-neg_binary64_7231` `/-rgt-identity_binary64_7230` `-rgt-identity_binary64_7229` `-lft-identity_binary64_7228` `+-lft-identity_binary64_7223` `-inverses_binary64_7219` `+-inverses_binary64_7218` `lft-mult-inverse_binary64_7217` `rgt-mult-inverse_binary64_7216` `remove-double-div_binary64_7215` `pow-sqr_binary64_7212` `sqr-pow_binary64_7211` `difference-of-sqr--1_binary64_7210` `difference-of-sqr-1_binary64_7209` `difference-of-squares_binary64_7208` `unswap-sqr_binary64_7207` `swap-sqr_binary64_7206` `distribute-rgt1-in_binary64_7195` `distribute-lft1-in_binary64_7194` `distribute-rgt-out--_binary64_7193` `distribute-lft-out_binary64_7190` `count-2_binary64_7187` `associate-/l/_binary64_7186` `associate-/r_binary64_7183` `associate-*r/_binary64_7181`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	550
1	303	550
2	841	550
3	1682	550
4	3422	550
5	4220	550
6	4296	550
7	5256	550
0	7	7
1	7	7

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.2%	98.5%	0.3%	13
1.8%	97.9%	0.3%	14

Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 18 to 18 computations (0% saved)

sample80.0ms (0.5%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
8.0ms	132×	body	128	invalid

Compiler

Compiled 35 to 42 computations (-20% saved)

simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

258×	`cancel-sign-sub-inv_binary64_7205`
149×	`sub-neg_binary64_7232`
148×	`distribute-rgt-in_binary64_7189`
133×	`unsub-neg_binary64_7233`
120×	`associate--r+_binary64_7175`
93×	`distribute-rgt-neg-in_binary64_7197`
91×	`associate-/l*_binary64_7184`
81×	`distribute-neg-in_binary64_7200`
80×	`associate--l+_binary64_7176`
55×	`neg-mul-1_binary64_7235` `associate--r-_binary64_7178`
52×	`distribute-lft-neg-in_binary64_7196`
51×	`associate-+l-_binary64_7174`
49×	`distribute-lft-neg-out_binary64_7198`
48×	`neg-sub0_binary64_7234`
46×	`*-commutative_binary64_7170`
45×	`associate-+r+_binary64_7171`
43×	`distribute-neg-frac_binary64_7203`
41×	`+-commutative_binary64_7169`
40×	`div-sub_binary64_7244`
36×	`associate-/r*_binary64_7183`
35×	`associate-l_binary64_7180`
33×	`distribute-lft-in_binary64_7188` `associate-r_binary64_7179`
32×	`cancel-sign-sub_binary64_7204` `associate-+l+_binary64_7172`
27×	`associate--l-_binary64_7177`
26×	`distribute-rgt-neg-out_binary64_7199`
23×	`associate-*l/_binary64_7182`
20×	`mul0-rgt_binary64_7222`
19×	`sub0-neg_binary64_7226` `associate-/r/_binary64_7185`
17×	`*-rgt-identity_binary64_7229` `remove-double-neg_binary64_7227` `associate-+r-_binary64_7173`
16×	`mul0-lft_binary64_7221` `associate-*r/_binary64_7181`
15×	`*-lft-identity_binary64_7228` `associate-/l/_binary64_7186`
11×	`+-lft-identity_binary64_7223`
8×	`div0_binary64_7220`
6×	`--rgt-identity_binary64_7225` `+-rgt-identity_binary64_7224`
3×	`distribute-neg-out_binary64_7201` `distribute-lft-out--_binary64_7191`
2×	`/-rgt-identity_binary64_7230`
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` `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` `pow-plus_binary64_7302` `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-lft-sqr_binary64_7294` `exp-cbrt_binary64_7293` `exp-sqrt_binary64_7292` `exp-prod_binary64_7291` `div-exp_binary64_7290` `rec-exp_binary64_7289` `prod-exp_binary64_7288` `exp-diff_binary64_7287` `exp-neg_binary64_7286` `exp-sum_binary64_7285` `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-unmult_binary64_7276` `cube-mult_binary64_7269` `cube-div_binary64_7268` `cube-prod_binary64_7267` `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` `times-frac_binary64_7245` `mul-1-neg_binary64_7231` `*-inverses_binary64_7219` `+-inverses_binary64_7218` `lft-mult-inverse_binary64_7217` `rgt-mult-inverse_binary64_7216` `remove-double-div_binary64_7215` `pow-sqr_binary64_7212` `sqr-pow_binary64_7211` `difference-of-sqr--1_binary64_7210` `difference-of-sqr-1_binary64_7209` `difference-of-squares_binary64_7208` `unswap-sqr_binary64_7207` `swap-sqr_binary64_7206` `distribute-frac-neg_binary64_7202` `distribute-rgt1-in_binary64_7195` `distribute-lft1-in_binary64_7194` `distribute-rgt-out--_binary64_7193` `distribute-rgt-out_binary64_7192` `distribute-lft-out_binary64_7190` `count-2_binary64_7187`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	25
1	33	25
2	73	25
3	138	25
4	266	25
5	499	25
6	678	25
7	867	25
8	1013	25
9	1033	25
10	1043	25
11	1044	25
12	1044	25
13	1044	25
14	937	25

prune2.0ms (0%)

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

0.3b

Counts

1 → 1

Compiler

Compiled 17 to 17 computations (0% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
0.0b	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
0.2b	(/.f64 (*.f64 z t) 16)

rewrite162.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-log-exp_binary64_7278`
17×	`*-un-lft-identity_binary64_7239`
14×	`cancel-sign-sub-inv_binary64_7205`
12×	`add-sqr-sqrt_binary64_7261`
10×	`add-cube-cbrt_binary64_7274`
9×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275` `times-frac_binary64_7245` `associate-+l+_binary64_7172`
6×	`sum-log_binary64_7330`
4×	`pow1_binary64_7300` `diff-log_binary64_7331`
3×	`div-inv_binary64_7236` `associate-/r*_binary64_7183` `flip3-+_binary64_7242` `flip-+_binary64_7213`
2×	`div-exp_binary64_7290` `cbrt-undiv_binary64_7273` `distribute-lft-out_binary64_7190` `distribute-lft-out--_binary64_7191` `sub-neg_binary64_7232` `associate--l+_binary64_7176` `+-commutative_binary64_7169` `frac-sub_binary64_7248`
1×	`prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `frac-2neg_binary64_7250` `clear-num_binary64_7238` `associate-/l*_binary64_7184` `associate-+l-_binary64_7174` `flip3--_binary64_7243` `flip--_binary64_7214` `difference-of-squares_binary64_7208`

Counts

4 → 81

Calls

4 calls:

14.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
11.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
5.0ms	(/.f64 (*.f64 z t) 16)
5.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))

Compiler

Compiled 2222 to 1068 computations (51.9% saved)

series2.0s (13.1%)

Error

0.3b

Counts

4 → 108

Calls

4 calls:

826.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
677.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
275.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
88.0ms	(/.f64 (*.f64 z t) 16)

Compiler

Compiled 3765 to 3106 computations (17.5% saved)

simplify137.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

440×	`distribute-rgt-in_binary64_7189`
413×	`distribute-lft-in_binary64_7188`
403×	`associate-*l/_binary64_7182`
344×	`associate-/l*_binary64_7184`
125×	`cancel-sign-sub-inv_binary64_7205`
118×	`associate-/l/_binary64_7186`
104×	`associate-/r/_binary64_7185`
100×	`exp-prod_binary64_7291`
99×	`distribute-rgt-neg-in_binary64_7197`
87×	`sub-neg_binary64_7232`
79×	`*-commutative_binary64_7170`
78×	`distribute-lft-neg-in_binary64_7196`
73×	`associate-l_binary64_7180`
69×	`distribute-neg-frac_binary64_7203`
65×	`associate-r_binary64_7179`
62×	`associate-/r*_binary64_7183`
59×	`associate-*r/_binary64_7181` `+-commutative_binary64_7169`
56×	`times-frac_binary64_7245` `neg-mul-1_binary64_7235` `neg-sub0_binary64_7234`
43×	`distribute-lft-neg-out_binary64_7198`
37×	`sqr-pow_binary64_7211`
33×	`distribute-neg-in_binary64_7200`
31×	`log-div_binary64_7326`
25×	`exp-diff_binary64_7287` `associate--l+_binary64_7176`
24×	`unpow3_binary64_7305`
22×	`associate-+l+_binary64_7172`
21×	`log-prod_binary64_7325` `cube-div_binary64_7268`
20×	`unsub-neg_binary64_7233` `distribute-rgt-neg-out_binary64_7199`
19×	`div-exp_binary64_7290`
18×	`exp-sum_binary64_7285`
14×	`cube-mult_binary64_7269` `distribute-rgt-out_binary64_7192`
12×	`cube-prod_binary64_7267` `swap-sqr_binary64_7206`
11×	`div-sub_binary64_7244` `associate-+r+_binary64_7171`
10×	`prod-exp_binary64_7288`
9×	`*-rgt-identity_binary64_7229` `distribute-rgt-out--_binary64_7193`
8×	`associate-+r-_binary64_7173`
6×	`distribute-lft-out_binary64_7190` `associate-+l-_binary64_7174`
5×	`difference-of-squares_binary64_7208`
4×	`cube-unmult_binary64_7276` `+-rgt-identity_binary64_7224` `unswap-sqr_binary64_7207` `distribute-frac-neg_binary64_7202` `associate--r+_binary64_7175`
3×	`exp-sqrt_binary64_7292` `/-rgt-identity_binary64_7230`
2×	`log-rec_binary64_7327` `remove-double-neg_binary64_7227` `distribute-lft-out--_binary64_7191`
1×	`1-exp_binary64_7283` `rem-3cbrt-lft_binary64_7264` `rem-sqrt-square_binary64_7252` `rem-square-sqrt_binary64_7251` `*-lft-identity_binary64_7228` `div0_binary64_7220` `pow-sqr_binary64_7212` `distribute-neg-out_binary64_7201` `associate--r-_binary64_7178` `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` `log-pow_binary64_7328` `pow-base-0_binary64_7323` `unpow1/3_binary64_7306` `unpow2_binary64_7304` `unpow1/2_binary64_7303` `pow-plus_binary64_7302` `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-lft-sqr_binary64_7294` `exp-cbrt_binary64_7293` `rec-exp_binary64_7289` `exp-neg_binary64_7286` `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-neg_binary64_7266` `rem-3cbrt-rft_binary64_7265` `rem-cbrt-cube_binary64_7263` `rem-cube-cbrt_binary64_7262` `sqr-abs_binary64_7254` `sqr-neg_binary64_7253` `mul-1-neg_binary64_7231` `sub0-neg_binary64_7226` `--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-rgt1-in_binary64_7195` `distribute-lft1-in_binary64_7194` `count-2_binary64_7187`

Counts

189 → 138

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	3409
1	495	3342
2	1466	3291
3	4783	3291
4	4931	3291

prune165.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	134	4	138
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	4	139

Error

0.0b

Counts

139 → 4

Compiler

Compiled 2836 to 1295 computations (54.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (*.f64 a b) 4)
0.0b	(+.f64 (.f64 x y) (.f64 z (/.f64 t 16)))
0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4))
0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4)) c)

rewrite143.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-log-exp_binary64_7278`
17×	`*-un-lft-identity_binary64_7239`
14×	`cancel-sign-sub-inv_binary64_7205`
12×	`add-sqr-sqrt_binary64_7261`
10×	`add-cube-cbrt_binary64_7274`
9×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275` `associate-+l+_binary64_7172` `times-frac_binary64_7245`
6×	`sum-log_binary64_7330`
4×	`diff-log_binary64_7331` `pow1_binary64_7300`
3×	`flip3-+_binary64_7242` `flip-+_binary64_7213` `div-inv_binary64_7236` `associate-/r*_binary64_7183`
2×	`distribute-lft-out_binary64_7190` `distribute-lft-out--_binary64_7191` `sub-neg_binary64_7232` `associate--l+_binary64_7176` `+-commutative_binary64_7169` `frac-sub_binary64_7248` `div-exp_binary64_7290` `cbrt-undiv_binary64_7273`
1×	`associate-+l-_binary64_7174` `flip3--_binary64_7243` `flip--_binary64_7214` `difference-of-squares_binary64_7208` `prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `frac-2neg_binary64_7250` `clear-num_binary64_7238` `associate-/l*_binary64_7184`

Counts

4 → 81

Calls

4 calls:

12.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4)) c)
9.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4))
5.0ms	(+.f64 (.f64 x y) (.f64 z (/.f64 t 16)))
4.0ms	(/.f64 (*.f64 a b) 4)

Compiler

Compiled 2222 to 1187 computations (46.6% saved)

series1.9s (12.5%)

Error

0.0b

Counts

4 → 108

Calls

4 calls:

791.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4)) c)
643.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4))
263.0ms	(+.f64 (.f64 x y) (.f64 z (/.f64 t 16)))
86.0ms	(/.f64 (*.f64 a b) 4)

Compiler

Compiled 3765 to 3112 computations (17.3% saved)

simplify137.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

445×	`distribute-rgt-in_binary64_7189`
418×	`distribute-lft-in_binary64_7188`
388×	`associate-*l/_binary64_7182`
346×	`associate-/l*_binary64_7184`
157×	`cancel-sign-sub-inv_binary64_7205`
145×	`distribute-rgt-neg-in_binary64_7197`
120×	`associate-/l/_binary64_7186`
118×	`distribute-lft-neg-in_binary64_7196`
90×	`distribute-neg-frac_binary64_7203`
89×	`associate-l_binary64_7180`
86×	`sub-neg_binary64_7232`
82×	`associate-r_binary64_7179`
80×	`*-commutative_binary64_7170`
76×	`associate-/r/_binary64_7185`
61×	`times-frac_binary64_7245`
60×	`neg-mul-1_binary64_7235`
59×	`neg-sub0_binary64_7234` `associate-*r/_binary64_7181` `+-commutative_binary64_7169`
55×	`associate-/r*_binary64_7183`
51×	`log-div_binary64_7326`
47×	`distribute-lft-neg-out_binary64_7198`
46×	`log-prod_binary64_7325`
41×	`sqr-pow_binary64_7211`
34×	`distribute-neg-in_binary64_7200`
25×	`distribute-rgt-out_binary64_7192` `associate--l+_binary64_7176`
23×	`exp-prod_binary64_7291`
22×	`associate-+l+_binary64_7172`
20×	`unsub-neg_binary64_7233` `distribute-rgt-neg-out_binary64_7199`
18×	`exp-sum_binary64_7285` `cube-div_binary64_7268`
15×	`unpow3_binary64_7305`
14×	`cube-mult_binary64_7269`
13×	`cube-prod_binary64_7267` `distribute-rgt-out--_binary64_7193`
11×	`swap-sqr_binary64_7206` `associate-+r+_binary64_7171`
10×	`div-sub_binary64_7244` `distribute-lft-out_binary64_7190`
8×	`unswap-sqr_binary64_7207` `associate-+r-_binary64_7173`
7×	`div-exp_binary64_7290` `prod-exp_binary64_7288` `exp-diff_binary64_7287`
6×	`*-rgt-identity_binary64_7229` `associate-+l-_binary64_7174`
5×	`difference-of-squares_binary64_7208`
4×	`cube-unmult_binary64_7276` `+-rgt-identity_binary64_7224` `distribute-lft-out--_binary64_7191` `associate--r+_binary64_7175`
3×	`log-rec_binary64_7327`
2×	`/-rgt-identity_binary64_7230` `remove-double-neg_binary64_7227` `pow-sqr_binary64_7212` `distribute-frac-neg_binary64_7202`
1×	`log-pow_binary64_7328` `1-exp_binary64_7283` `rem-3cbrt-lft_binary64_7264` `rem-sqrt-square_binary64_7252` `rem-square-sqrt_binary64_7251` `*-lft-identity_binary64_7228` `div0_binary64_7220` `distribute-neg-out_binary64_7201` `associate--r-_binary64_7178` `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` `unpow2_binary64_7304` `unpow1/2_binary64_7303` `pow-plus_binary64_7302` `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-lft-sqr_binary64_7294` `exp-cbrt_binary64_7293` `exp-sqrt_binary64_7292` `rec-exp_binary64_7289` `exp-neg_binary64_7286` `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-neg_binary64_7266` `rem-3cbrt-rft_binary64_7265` `rem-cbrt-cube_binary64_7263` `rem-cube-cbrt_binary64_7262` `sqr-abs_binary64_7254` `sqr-neg_binary64_7253` `mul-1-neg_binary64_7231` `sub0-neg_binary64_7226` `--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-rgt1-in_binary64_7195` `distribute-lft1-in_binary64_7194` `count-2_binary64_7187`

Counts

189 → 132

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	3409
1	480	3342
2	1498	3294
3	4913	3294
4	4994	3294

prune136.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	132	4	136

Error

0.0b

Counts

136 → 4

Compiler

Compiled 2658 to 1293 computations (51.4% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 1/16 (.f64 t z))) (cbrt.f64 (.f64 1/16 (*.f64 t z))))
6.4b	(cbrt.f64 (.f64 1/16 (.f64 t z)))
6.4b	(cbrt.f64 (.f64 1/16 (.f64 t z)))
6.4b	(cbrt.f64 (.f64 1/16 (.f64 t z)))

rewrite137.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`pow1_binary64_7300`
10×	`add-sqr-sqrt_binary64_7261`
9×	`pow1/3_binary64_7321`
8×	`add-cube-cbrt_binary64_7274` `*-un-lft-identity_binary64_7239`
7×	`cbrt-prod_binary64_7270`
6×	`add-exp-log_binary64_7277`
4×	`add-log-exp_binary64_7278` `add-cbrt-cube_binary64_7275` `swap-sqr_binary64_7206` `associate-l_binary64_7180` `associate-r_binary64_7179`
2×	`pow-prod-down_binary64_7310` `pow-prod-up_binary64_7309` `pow-sqr_binary64_7212`
1×	`pow2_binary64_7320` `pow-plus_binary64_7302` `prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `unswap-sqr_binary64_7207` `*-commutative_binary64_7170`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 1/16 (.f64 t z))) (cbrt.f64 (.f64 1/16 (*.f64 t z))))
4.0ms	(cbrt.f64 (.f64 1/16 (.f64 t z)))
4.0ms	(cbrt.f64 (.f64 1/16 (.f64 t z)))
4.0ms	(cbrt.f64 (.f64 1/16 (.f64 t z)))

Compiler

Compiled 2209 to 1186 computations (46.3% saved)

series1.5s (10.3%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

483.0ms	(.f64 (cbrt.f64 (.f64 1/16 (.f64 t z))) (cbrt.f64 (.f64 1/16 (*.f64 t z))))
351.0ms	(cbrt.f64 (.f64 1/16 (.f64 t z)))
330.0ms	(cbrt.f64 (.f64 1/16 (.f64 t z)))
325.0ms	(cbrt.f64 (.f64 1/16 (.f64 t z)))

Compiler

Compiled 2742 to 2178 computations (20.6% saved)

simplify134.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

623×	`exp-diff_binary64_7287`
375×	`associate-l_binary64_7180`
344×	`exp-prod_binary64_7291`
287×	`associate-r_binary64_7179`
259×	`unswap-sqr_binary64_7207`
246×	`distribute-rgt-in_binary64_7189`
221×	`distribute-lft-in_binary64_7188`
189×	`log-div_binary64_7326`
158×	`associate--r+_binary64_7175`
147×	`log-prod_binary64_7325`
122×	`distribute-neg-out_binary64_7201`
118×	`exp-sum_binary64_7285`
114×	`*-commutative_binary64_7170`
102×	`unsub-neg_binary64_7233`
96×	`sqr-pow_binary64_7211` `associate--r-_binary64_7178`
85×	`associate--l+_binary64_7176`
82×	`div-sub_binary64_7244`
80×	`log-pow_binary64_7328`
79×	`associate-+l-_binary64_7174`
72×	`exp-to-pow_binary64_7301` `sub-neg_binary64_7232` `associate-/l*_binary64_7184`
59×	`associate--l-_binary64_7177`
58×	`distribute-rgt-neg-out_binary64_7199`
47×	`distribute-lft-neg-out_binary64_7198`
44×	`cancel-sign-sub-inv_binary64_7205`
41×	`distribute-lft-out_binary64_7190`
40×	`neg-sub0_binary64_7234`
38×	`prod-exp_binary64_7288` `swap-sqr_binary64_7206`
32×	`distribute-rgt-out_binary64_7192`
30×	`distribute-neg-in_binary64_7200`
26×	`neg-mul-1_binary64_7235` `distribute-rgt-neg-in_binary64_7197` `associate-/r*_binary64_7183` `associate-+r-_binary64_7173`
25×	`log-rec_binary64_7327`
24×	`unpow1/3_binary64_7306` `pow-plus_binary64_7302` `exp-neg_binary64_7286`
21×	`pow-sqr_binary64_7212`
20×	`distribute-frac-neg_binary64_7202`
19×	`rec-exp_binary64_7289`
18×	`cube-prod_binary64_7267` `*-rgt-identity_binary64_7229`
17×	`+-commutative_binary64_7169`
16×	`exp-lft-sqr_binary64_7294`
15×	`*-lft-identity_binary64_7228`
14×	`distribute-rgt-out--_binary64_7193`
12×	`unpow3_binary64_7305` `distribute-lft-neg-in_binary64_7196`
11×	`associate-/l/_binary64_7186` `associate-*r/_binary64_7181` `associate-+r+_binary64_7171`
10×	`distribute-lft-out--_binary64_7191`
9×	`cube-unmult_binary64_7276`
8×	`div-exp_binary64_7290`
7×	`unpow2_binary64_7304` `exp-sqrt_binary64_7292` `rem-sqrt-square_binary64_7252` `associate-+l+_binary64_7172`
6×	`unpow1/2_binary64_7303` `unpow1_binary64_7297` `rem-exp-log_binary64_7279` `+-rgt-identity_binary64_7224` `count-2_binary64_7187` `associate-/r/_binary64_7185`
4×	`remove-double-neg_binary64_7227` `sub0-neg_binary64_7226` `--rgt-identity_binary64_7225`
2×	`rem-3cbrt-lft_binary64_7264`
1×	`log-E_binary64_7329` `1-exp_binary64_7283` `exp-1-e_binary64_7282` `rem-3cbrt-rft_binary64_7265` `rem-square-sqrt_binary64_7251`
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` `pow-base-0_binary64_7323` `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-0_binary64_7281` `rem-log-exp_binary64_7280` `cube-mult_binary64_7269` `cube-div_binary64_7268` `cube-neg_binary64_7266` `rem-cbrt-cube_binary64_7263` `rem-cube-cbrt_binary64_7262` `sqr-abs_binary64_7254` `sqr-neg_binary64_7253` `times-frac_binary64_7245` `mul-1-neg_binary64_7231` `/-rgt-identity_binary64_7230` `+-lft-identity_binary64_7223` `mul0-rgt_binary64_7222` `mul0-lft_binary64_7221` `div0_binary64_7220` `-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` `difference-of-squares_binary64_7208` `cancel-sign-sub_binary64_7204` `distribute-neg-frac_binary64_7203` `distribute-rgt1-in_binary64_7195` `distribute-lft1-in_binary64_7194` `associate-l/_binary64_7182`

Counts

82 → 69

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	118	1339
1	242	1249
2	498	1108
3	1727	988
4	4227	928
5	4939	910
6	4740	910
7	5009	910

prune125.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	69	4	73

Error

0.0b

Counts

73 → 4

Compiler

Compiled 2327 to 1246 computations (46.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 1/16 (.f64 t z))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 1/16 (.f64 t z)) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 1/16 (.f64 t z)) (*.f64 x y))))
1.3b	(sqrt.f64 (+.f64 (.f64 1/16 (.f64 t z)) (*.f64 x y)))
1.3b	(sqrt.f64 (+.f64 (.f64 1/16 (.f64 t z)) (*.f64 x y)))

rewrite254.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64_7261`
26×	`pow1_binary64_7300`
24×	`sqrt-prod_binary64_7255`
16×	`sqrt-div_binary64_7256`
15×	`add-cube-cbrt_binary64_7274` `*-un-lft-identity_binary64_7239`
11×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275`
10×	`pow1/2_binary64_7319` `sqrt-pow1_binary64_7257`
9×	`associate-l_binary64_7180`
8×	`flip3-+_binary64_7242` `flip-+_binary64_7213` `swap-sqr_binary64_7206`
7×	`associate-r_binary64_7179`
6×	`pow-prod-down_binary64_7310`
5×	`pow-prod-up_binary64_7309`
4×	`add-log-exp_binary64_7278` `rem-sqrt-square_binary64_7252` `prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `frac-times_binary64_7249` `unswap-sqr_binary64_7207`
3×	`pow-sqr_binary64_7212`
2×	`associate-l/_binary64_7182` `associate-r/_binary64_7181` `*-commutative_binary64_7170`
1×	`pow2_binary64_7320` `pow-plus_binary64_7302` `sqrt-unprod_binary64_7259` `sqr-abs_binary64_7254` `rem-square-sqrt_binary64_7251`

Counts

4 → 106

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 1/16 (.f64 t z)) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 1/16 (.f64 t z)) (*.f64 x y))))
6.0ms	(sqrt.f64 (+.f64 (.f64 1/16 (.f64 t z)) (*.f64 x y)))
5.0ms	(sqrt.f64 (+.f64 (.f64 1/16 (.f64 t z)) (*.f64 x y)))
5.0ms	(.f64 1/16 (.f64 t z))

Compiler

Compiled 4415 to 2122 computations (51.9% saved)

series828.0ms (5.5%)

Error

0.0b

Counts

4 → 66

Calls

4 calls:

304.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 1/16 (.f64 t z)) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 1/16 (.f64 t z)) (*.f64 x y))))
181.0ms	(sqrt.f64 (+.f64 (.f64 1/16 (.f64 t z)) (*.f64 x y)))
178.0ms	(sqrt.f64 (+.f64 (.f64 1/16 (.f64 t z)) (*.f64 x y)))
84.0ms	(.f64 1/16 (.f64 t z))

Compiler

Compiled 4686 to 3387 computations (27.7% saved)

simplify190.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

432×	`*-commutative_binary64_7170`
305×	`unswap-sqr_binary64_7207`
255×	`cancel-sign-sub-inv_binary64_7205` `distribute-rgt-in_binary64_7189`
248×	`distribute-rgt-neg-in_binary64_7197`
246×	`distribute-lft-in_binary64_7188`
228×	`distribute-lft-neg-in_binary64_7196`
202×	`associate-/r*_binary64_7183`
173×	`associate-r_binary64_7179`
167×	`associate-l_binary64_7180`
153×	`sub-neg_binary64_7232`
137×	`associate-/l/_binary64_7186`
126×	`associate-+l+_binary64_7172`
113×	`associate-+r+_binary64_7171`
102×	`neg-mul-1_binary64_7235`
97×	`neg-sub0_binary64_7234`
95×	`sqr-pow_binary64_7211`
74×	`log-prod_binary64_7325`
70×	`unsub-neg_binary64_7233`
68×	`exp-prod_binary64_7291` `distribute-rgt-out_binary64_7192`
49×	`cube-prod_binary64_7267`
35×	`unpow3_binary64_7305`
33×	`+-commutative_binary64_7169`
32×	`associate-+l-_binary64_7174`
28×	`rem-sqrt-square_binary64_7252` `swap-sqr_binary64_7206` `distribute-rgt-out--_binary64_7193`
24×	`distribute-lft-out_binary64_7190`
22×	`distribute-lft-neg-out_binary64_7198`
20×	`log-pow_binary64_7328` `associate-/l*_binary64_7184`
19×	`associate-+r-_binary64_7173`
17×	`cube-unmult_binary64_7276`
16×	`pow-plus_binary64_7302` `distribute-neg-in_binary64_7200`
15×	`pow-sqr_binary64_7212`
14×	`*-rgt-identity_binary64_7229` `associate--l+_binary64_7176`
13×	`*-lft-identity_binary64_7228`
12×	`associate--r+_binary64_7175`
10×	`cube-mult_binary64_7269` `+-rgt-identity_binary64_7224`
8×	`exp-sum_binary64_7285` `rem-square-sqrt_binary64_7251` `associate-*r/_binary64_7181`
7×	`times-frac_binary64_7245`
6×	`count-2_binary64_7187` `associate-/r/_binary64_7185`
5×	`unpow2_binary64_7304` `sub0-neg_binary64_7226`
4×	`unpow1/2_binary64_7303` `distribute-lft-out--_binary64_7191`
2×	`unpow1_binary64_7297` `difference-of-squares_binary64_7208` `distribute-rgt-neg-out_binary64_7199`
1×	`1-exp_binary64_7283` `exp-1-e_binary64_7282` `rem-3cbrt-rft_binary64_7265` `rem-3cbrt-lft_binary64_7264` `rem-cbrt-cube_binary64_7263` `sqr-abs_binary64_7254`
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-rec_binary64_7327` `log-div_binary64_7326` `pow-base-0_binary64_7323` `unpow1/3_binary64_7306` `exp-to-pow_binary64_7301` `pow-base-1_binary64_7299` `unpow0_binary64_7298` `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` `prod-exp_binary64_7288` `exp-diff_binary64_7287` `exp-neg_binary64_7286` `e-exp-1_binary64_7284` `exp-0_binary64_7281` `rem-log-exp_binary64_7280` `rem-exp-log_binary64_7279` `cube-div_binary64_7268` `cube-neg_binary64_7266` `rem-cube-cbrt_binary64_7262` `sqr-neg_binary64_7253` `div-sub_binary64_7244` `mul-1-neg_binary64_7231` `/-rgt-identity_binary64_7230` `remove-double-neg_binary64_7227` `--rgt-identity_binary64_7225` `+-lft-identity_binary64_7223` `mul0-rgt_binary64_7222` `mul0-lft_binary64_7221` `div0_binary64_7220` `-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-neg-frac_binary64_7203` `distribute-frac-neg_binary64_7202` `distribute-neg-out_binary64_7201` `distribute-rgt1-in_binary64_7195` `distribute-lft1-in_binary64_7194` `associate-l/_binary64_7182` `associate--r-_binary64_7178` `associate--l-_binary64_7177`

Counts

172 → 133

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	154	3445
1	339	3299
2	1080	3255
3	2122	3188
4	4632	3083
5	4973	3083
6	4943	3083

prune209.0ms (1.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	133	4	137

Error

0.0b

Counts

137 → 4

Compiler

Compiled 4251 to 2018 computations (52.5% saved)

regimes1.4s (9.4%)

Accuracy

Total 0.0b remaining (28%)

Threshold costs 0.0b (28%)

Compiler

Compiled 14316 to 13550 computations (5.4% saved)

bsearch0.0ms (0%)

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64_7170` `+-commutative_binary64_7169`
5×	`sub-neg_binary64_7232`
4×	`neg-mul-1_binary64_7235` `neg-sub0_binary64_7234`
2×	`distribute-rgt-neg-in_binary64_7197` `distribute-lft-neg-in_binary64_7196`
1×	`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` `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-inv_binary64_7205` `cancel-sign-sub_binary64_7204` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	25
1	25	25
2	32	25
3	42	25
4	49	25
5	54	25
6	56	25
7	56	25

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 102 to 102 computations (0% saved)

end0.0ms (0%)

sample2.5s (16.5%)

Algorithm

1×

intervals

Results

520.0ms	8000×	body	128	valid
474.0ms	3992×	body	128	invalid

Compiler

Compiled 895 to 850 computations (5% saved)

Details

analyze2.7s (17.9%)

sample80.0ms (0.5%)

simplify74.0ms (0.5%)

prune2.0ms (0%)

localize21.0ms (0.1%)

rewrite162.0ms (1.1%)

series2.0s (13.1%)

simplify137.0ms (0.9%)

prune165.0ms (1.1%)

localize14.0ms (0.1%)

rewrite143.0ms (1%)

series1.9s (12.5%)

simplify137.0ms (0.9%)

prune136.0ms (0.9%)

localize21.0ms (0.1%)

rewrite137.0ms (0.9%)

series1.5s (10.3%)

simplify134.0ms (0.9%)

prune125.0ms (0.8%)

localize18.0ms (0.1%)

rewrite254.0ms (1.7%)

series828.0ms (5.5%)

simplify190.0ms (1.3%)

prune209.0ms (1.4%)

regimes1.4s (9.4%)

bsearch0.0ms (0%)

simplify61.0ms (0.4%)

end0.0ms (0%)

sample2.5s (16.5%)

Profiling