Details

analyze606.0ms (4.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

930×	`unsub-neg_binary64_7233`
674×	`neg-sub0_binary64_7234`
602×	`distribute-rgt-in_binary64_7189`
589×	`neg-mul-1_binary64_7235`
463×	`distribute-lft-in_binary64_7188`
360×	`distribute-rgt-neg-out_binary64_7199`
345×	`associate-+r+_binary64_7171`
324×	`distribute-lft-neg-out_binary64_7198`
320×	`associate-l_binary64_7180`
311×	`distribute-neg-out_binary64_7201`
295×	`associate-+l+_binary64_7172`
290×	`sub-neg_binary64_7232`
269×	`associate-r_binary64_7179`
228×	`distribute-neg-in_binary64_7200`
203×	`distribute-rgt-out_binary64_7192`
174×	`remove-double-neg_binary64_7227`
164×	`*-commutative_binary64_7170`
145×	`associate--l+_binary64_7176`
139×	`distribute-rgt-neg-in_binary64_7197`
124×	`+-commutative_binary64_7169`
116×	`distribute-lft-neg-in_binary64_7196`
86×	`associate--r-_binary64_7178`
77×	`distribute-lft-out_binary64_7190`
55×	`associate--l-_binary64_7177` `associate--r+_binary64_7175`
34×	`mul0-rgt_binary64_7222` `mul0-lft_binary64_7221`
33×	`associate-+l-_binary64_7174`
32×	`cancel-sign-sub-inv_binary64_7205` `distribute-rgt-out--_binary64_7193`
27×	`sub0-neg_binary64_7226`
23×	`+-rgt-identity_binary64_7224`
20×	`associate-+r-_binary64_7173`
14×	`distribute-lft1-in_binary64_7194`
13×	`mul-1-neg_binary64_7231`
11×	`distribute-rgt1-in_binary64_7195`
8×	`--rgt-identity_binary64_7225`
6×	`cancel-sign-sub_binary64_7204`
3×	`distribute-lft-out--_binary64_7191`
2×	`*-lft-identity_binary64_7228`
1×	`1-exp_binary64_7283` `*-rgt-identity_binary64_7229`
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` `div-sub_binary64_7244` `/-rgt-identity_binary64_7230` `+-lft-identity_binary64_7223` `div0_binary64_7220` `-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-neg-frac_binary64_7203` `distribute-frac-neg_binary64_7202` `count-2_binary64_7187` `associate-/l/_binary64_7186` `associate-/r/_binary64_7185` `associate-/l_binary64_7184` `associate-/r_binary64_7183` `associate-l/_binary64_7182` `associate-*r/_binary64_7181`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	64
1	57	64
2	148	64
3	437	64
4	1173	64
5	2493	64
6	3995	64
7	4516	64
8	4905	64
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample22.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	237×	body	128	valid
1.0ms	7×	body	1024	valid
1.0ms	6×	body	512	valid
1.0ms	17×	body	128	invalid
0.0ms	6×	body	256	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify225.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

679×	`unsub-neg_binary64_7233`
400×	`sub-neg_binary64_7232`
289×	`distribute-rgt-in_binary64_7189` `associate--r+_binary64_7175`
257×	`distribute-neg-out_binary64_7201`
230×	`associate-+l+_binary64_7172`
220×	`distribute-lft-in_binary64_7188`
213×	`distribute-rgt-neg-in_binary64_7197`
212×	`associate-+l-_binary64_7174`
205×	`distribute-lft-neg-out_binary64_7198`
200×	`distribute-neg-in_binary64_7200`
191×	`distribute-rgt-neg-out_binary64_7199`
182×	`neg-sub0_binary64_7234`
170×	`associate-l_binary64_7180`
166×	`*-commutative_binary64_7170`
163×	`neg-mul-1_binary64_7235` `distribute-lft-neg-in_binary64_7196`
162×	`associate-r_binary64_7179`
141×	`associate--r-_binary64_7178`
130×	`+-commutative_binary64_7169`
102×	`distribute-rgt-out--_binary64_7193` `associate--l-_binary64_7177`
85×	`distribute-rgt-out_binary64_7192`
81×	`associate-+r+_binary64_7171`
79×	`associate--l+_binary64_7176`
66×	`cancel-sign-sub-inv_binary64_7205`
65×	`associate-+r-_binary64_7173`
60×	`remove-double-neg_binary64_7227` `sub0-neg_binary64_7226`
56×	`distribute-lft-out_binary64_7190`
42×	`distribute-lft-out--_binary64_7191`
20×	`mul0-rgt_binary64_7222` `mul0-lft_binary64_7221`
15×	`+-rgt-identity_binary64_7224`
6×	`mul-1-neg_binary64_7231` `*-rgt-identity_binary64_7229` `+-lft-identity_binary64_7223`
5×	`cancel-sign-sub_binary64_7204` `distribute-rgt1-in_binary64_7195`
4×	`*-lft-identity_binary64_7228` `--rgt-identity_binary64_7225`
3×	`distribute-lft1-in_binary64_7194`
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` `div-sub_binary64_7244` `/-rgt-identity_binary64_7230` `div0_binary64_7220` `-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-neg-frac_binary64_7203` `distribute-frac-neg_binary64_7202` `count-2_binary64_7187` `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 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	23	16
2	56	16
3	145	16
4	372	16
5	895	16
6	1651	16
7	2142	16
8	2356	16
9	2486	16
10	2528	16
11	2543	16
12	2546	16
13	2546	16
14	2546	16
15	2720	16
16	2594	16
17	2594	16
18	2426	16

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.3b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2/3 z)
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.0b	(*.f64 (-.f64 y x) 6)
0.3b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

rewrite152.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-sqr-sqrt_binary64_7261`
18×	`*-un-lft-identity_binary64_7239`
15×	`cancel-sign-sub-inv_binary64_7205`
12×	`add-cube-cbrt_binary64_7274`
11×	`pow1_binary64_7300` `add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275`
10×	`associate-*l/_binary64_7182`
8×	`add-log-exp_binary64_7278` `flip3--_binary64_7243` `flip--_binary64_7214` `distribute-rgt-in_binary64_7189` `distribute-lft-in_binary64_7188` `associate-r_binary64_7179` `associate-+r+_binary64_7171`
6×	`associate-l_binary64_7180`
5×	`sub-neg_binary64_7232`
4×	`pow-prod-down_binary64_7310` `prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `frac-times_binary64_7249`
3×	`difference-of-squares_binary64_7208` `distribute-lft-out--_binary64_7191`
2×	`associate-r/_binary64_7181` `-commutative_binary64_7170`
1×	`unswap-sqr_binary64_7207` `sum-log_binary64_7330` `flip3-+_binary64_7242` `flip-+_binary64_7213` `+-commutative_binary64_7169` `diff-log_binary64_7331`

Counts

4 → 93

Calls

4 calls:

13.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
7.0ms	(*.f64 (-.f64 y x) 6)
5.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
4.0ms	(-.f64 2/3 z)

Compiler

Compiled 1844 to 1039 computations (43.7% saved)

series843.0ms (6.1%)

Error

0.1b

Counts

4 → 54

Calls

4 calls:

409.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
270.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
91.0ms	(*.f64 (-.f64 y x) 6)
24.0ms	(-.f64 2/3 z)

Compiler

Compiled 1895 to 1477 computations (22.1% saved)

simplify152.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

371×	`cancel-sign-sub-inv_binary64_7205`
361×	`exp-prod_binary64_7291`
350×	`unsub-neg_binary64_7233`
248×	`neg-sub0_binary64_7234`
242×	`neg-mul-1_binary64_7235`
236×	`sub-neg_binary64_7232`
219×	`associate-l_binary64_7180`
204×	`+-commutative_binary64_7169`
182×	`associate-r_binary64_7179`
147×	`*-commutative_binary64_7170`
129×	`distribute-rgt-in_binary64_7189`
122×	`distribute-lft-in_binary64_7188` `associate-+l+_binary64_7172`
114×	`distribute-rgt-neg-in_binary64_7197`
111×	`associate-+r+_binary64_7171`
102×	`distribute-rgt-neg-out_binary64_7199`
98×	`distribute-lft-neg-out_binary64_7198`
97×	`distribute-lft-neg-in_binary64_7196`
87×	`sqr-pow_binary64_7211`
75×	`exp-sum_binary64_7285`
57×	`log-prod_binary64_7325`
51×	`exp-diff_binary64_7287`
45×	`cube-prod_binary64_7267`
44×	`associate-+l-_binary64_7174`
43×	`remove-double-neg_binary64_7227`
39×	`distribute-neg-in_binary64_7200`
36×	`*-lft-identity_binary64_7228` `swap-sqr_binary64_7206`
35×	`associate--r+_binary64_7175`
34×	`associate--l+_binary64_7176`
33×	`associate-+r-_binary64_7173`
31×	`unswap-sqr_binary64_7207`
27×	`*-rgt-identity_binary64_7229` `distribute-rgt-out_binary64_7192`
25×	`sub0-neg_binary64_7226`
23×	`unpow3_binary64_7305`
22×	`+-rgt-identity_binary64_7224`
15×	`exp-neg_binary64_7286`
13×	`distribute-rgt-out--_binary64_7193`
12×	`cube-mult_binary64_7269`
11×	`div-sub_binary64_7244`
10×	`pow-sqr_binary64_7212` `distribute-lft-out_binary64_7190`
8×	`prod-exp_binary64_7288` `difference-of-squares_binary64_7208`
6×	`distribute-lft-out--_binary64_7191`
5×	`pow-plus_binary64_7302`
4×	`cube-unmult_binary64_7276` `mul-1-neg_binary64_7231`
3×	`unpow1/2_binary64_7303` `cube-neg_binary64_7266`
2×	`cube-div_binary64_7268` `sqr-neg_binary64_7253` `associate--l-_binary64_7177`
1×	`unpow-1_binary64_7296` `div-exp_binary64_7290` `1-exp_binary64_7283` `exp-1-e_binary64_7282` `rem-3cbrt-lft_binary64_7264` `rem-sqrt-square_binary64_7252` `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` `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` `unpow2_binary64_7304` `exp-to-pow_binary64_7301` `pow-base-1_binary64_7299` `unpow0_binary64_7298` `unpow1_binary64_7297` `exp-lft-cube_binary64_7295` `exp-lft-sqr_binary64_7294` `exp-cbrt_binary64_7293` `exp-sqrt_binary64_7292` `rec-exp_binary64_7289` `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-cbrt-cube_binary64_7263` `rem-cube-cbrt_binary64_7262` `sqr-abs_binary64_7254` `times-frac_binary64_7245` `/-rgt-identity_binary64_7230` `--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` `count-2_binary64_7187` `associate-/l/_binary64_7186` `associate-/r/_binary64_7185` `associate-/l_binary64_7184` `associate-/r_binary64_7183` `associate-l/_binary64_7182` `associate-*r/_binary64_7181` `associate--r-_binary64_7178`

Counts

147 → 110

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	2200
1	538	2074
2	1828	1915
3	3286	1915
4	4732	1915
5	4995	1915
6	4946	1915

prune116.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	102	8	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	9	111

Error

0.0b

Counts

111 → 9

Compiler

Compiled 1932 to 1105 computations (42.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 4 (*.f64 z 6))
0.0b	(+.f64 x (.f64 (-.f64 y x) (-.f64 4 (.f64 z 6))))
0.1b	(.f64 (-.f64 y x) (-.f64 4 (.f64 z 6)))

rewrite93.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-sqr-sqrt_binary64_7261`
7×	`add-log-exp_binary64_7278` `flip3--_binary64_7243` `flip--_binary64_7214` `*-un-lft-identity_binary64_7239`
5×	`pow1_binary64_7300` `add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275` `add-cube-cbrt_binary64_7274` `sub-neg_binary64_7232` `cancel-sign-sub-inv_binary64_7205` `associate-l_binary64_7180`
4×	`frac-times_binary64_7249` `distribute-rgt-in_binary64_7189` `distribute-lft-in_binary64_7188` `associate-+r+_binary64_7171`
3×	`associate-r_binary64_7179`
2×	`associate-l/_binary64_7182` `associate-r/_binary64_7181`
1×	`pow-prod-down_binary64_7310` `prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `unswap-sqr_binary64_7207` `difference-of-squares_binary64_7208` `distribute-lft-out--_binary64_7191` `*-commutative_binary64_7170` `sum-log_binary64_7330` `flip3-+_binary64_7242` `flip-+_binary64_7213` `+-commutative_binary64_7169` `diff-log_binary64_7331`

Counts

3 → 59

Calls

3 calls:

12.0ms	(.f64 (-.f64 y x) (-.f64 4 (.f64 z 6)))
4.0ms	(+.f64 x (.f64 (-.f64 y x) (-.f64 4 (.f64 z 6))))
3.0ms	(-.f64 4 (*.f64 z 6))

Compiler

Compiled 1245 to 753 computations (39.5% saved)

series715.0ms (5.2%)

Error

0.0b

Counts

3 → 42

Calls

3 calls:

384.0ms	(+.f64 x (.f64 (-.f64 y x) (-.f64 4 (.f64 z 6))))
260.0ms	(.f64 (-.f64 y x) (-.f64 4 (.f64 z 6)))
37.0ms	(-.f64 4 (*.f64 z 6))

Compiler

Compiled 1553 to 1189 computations (23.4% saved)

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

753×	`distribute-rgt-in_binary64_7189`
696×	`distribute-lft-in_binary64_7188`
134×	`cancel-sign-sub-inv_binary64_7205`
105×	`associate-l_binary64_7180`
104×	`distribute-rgt-neg-in_binary64_7197`
100×	`associate-+l+_binary64_7172` `*-commutative_binary64_7170`
95×	`associate-r_binary64_7179`
92×	`distribute-lft-neg-out_binary64_7198`
89×	`distribute-rgt-neg-out_binary64_7199`
88×	`associate-+r+_binary64_7171`
83×	`distribute-lft-neg-in_binary64_7196`
79×	`exp-prod_binary64_7291`
73×	`exp-sum_binary64_7285` `sub-neg_binary64_7232`
44×	`neg-sub0_binary64_7234` `+-commutative_binary64_7169`
42×	`associate-+l-_binary64_7174`
37×	`neg-mul-1_binary64_7235`
36×	`distribute-neg-in_binary64_7200` `associate--r+_binary64_7175` `associate-+r-_binary64_7173`
32×	`associate--l+_binary64_7176`
30×	`exp-diff_binary64_7287`
29×	`distribute-rgt-out_binary64_7192`
27×	`sqr-pow_binary64_7211`
16×	`log-prod_binary64_7325`
14×	`-rgt-identity_binary64_7229` `-lft-identity_binary64_7228`
12×	`cube-prod_binary64_7267` `unsub-neg_binary64_7233` `distribute-rgt-out--_binary64_7193`
9×	`unpow3_binary64_7305` `mul-1-neg_binary64_7231`
8×	`swap-sqr_binary64_7206`
6×	`cube-mult_binary64_7269` `unswap-sqr_binary64_7207`
5×	`exp-neg_binary64_7286`
4×	`difference-of-squares_binary64_7208` `distribute-lft-out_binary64_7190`
3×	`distribute-lft-out--_binary64_7191`
2×	`prod-exp_binary64_7288` `remove-double-neg_binary64_7227` `associate-/l*_binary64_7184` `associate--l-_binary64_7177`
1×	`unpow1/2_binary64_7303` `div-exp_binary64_7290` `1-exp_binary64_7283` `exp-1-e_binary64_7282` `cube-unmult_binary64_7276` `cube-neg_binary64_7266` `sqr-neg_binary64_7253` `div-sub_binary64_7244` `pow-sqr_binary64_7212` `distribute-frac-neg_binary64_7202` `distribute-neg-out_binary64_7201` `associate-/r*_binary64_7183`
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` `unpow2_binary64_7304` `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` `e-exp-1_binary64_7284` `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` `times-frac_binary64_7245` `/-rgt-identity_binary64_7230` `sub0-neg_binary64_7226` `--rgt-identity_binary64_7225` `+-rgt-identity_binary64_7224` `+-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-rgt1-in_binary64_7195` `distribute-lft1-in_binary64_7194` `count-2_binary64_7187` `associate-/l/_binary64_7186` `associate-/r/_binary64_7185` `associate-l/_binary64_7182` `associate-*r/_binary64_7181` `associate--r-_binary64_7178`

Counts

101 → 80

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	1849
1	420	1747
2	1372	1678
3	4786	1678
4	4966	1678

prune94.0ms (0.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	80	9	89

Error

0.0b

Counts

89 → 9

Compiler

Compiled 1573 to 948 computations (39.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 4 y) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (.f64 x -3)))
0.0b	(*.f64 z (-.f64 y x))
0.0b	(+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (*.f64 x -3))
0.3b	(.f64 -6 (.f64 z (-.f64 y x)))

rewrite180.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`distribute-rgt-in_binary64_7189` `distribute-lft-in_binary64_7188`
30×	`cancel-sign-sub-inv_binary64_7205`
21×	`add-sqr-sqrt_binary64_7261`
19×	`*-un-lft-identity_binary64_7239`
17×	`add-cube-cbrt_binary64_7274`
16×	`associate-+l+_binary64_7172`
11×	`pow1_binary64_7300` `add-exp-log_binary64_7277` `add-log-exp_binary64_7278` `add-cbrt-cube_binary64_7275`
10×	`sub-neg_binary64_7232`
6×	`associate-r/_binary64_7181` `associate-l_binary64_7180` `associate-r*_binary64_7179`
4×	`pow-prod-down_binary64_7310` `prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `sum-log_binary64_7330`
2×	`flip3--_binary64_7243` `flip--_binary64_7214` `*-commutative_binary64_7170` `flip3-+_binary64_7242` `flip-+_binary64_7213` `+-commutative_binary64_7169`
1×	`unswap-sqr_binary64_7207` `difference-of-squares_binary64_7208` `distribute-lft-out--_binary64_7191` `associate-+r+_binary64_7171`

Counts

4 → 106

Calls

4 calls:

14.0ms	(+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (*.f64 x -3))
11.0ms	(+.f64 (.f64 4 y) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (.f64 x -3)))
9.0ms	(.f64 -6 (.f64 z (-.f64 y x)))
8.0ms	(*.f64 z (-.f64 y x))

Compiler

Compiled 2504 to 1352 computations (46% saved)

series1.1s (8.1%)

Error

0.0b

Counts

4 → 66

Calls

4 calls:

365.0ms	(+.f64 (.f64 4 y) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (.f64 x -3)))
339.0ms	(+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (*.f64 x -3))
205.0ms	(.f64 -6 (.f64 z (-.f64 y x)))
145.0ms	(*.f64 z (-.f64 y x))

Compiler

Compiled 2626 to 2018 computations (23.2% saved)

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

683×	`distribute-rgt-in_binary64_7189`
643×	`distribute-lft-in_binary64_7188`
320×	`cancel-sign-sub-inv_binary64_7205`
232×	`associate-l_binary64_7180`
224×	`associate-r_binary64_7179`
162×	`distribute-rgt-neg-in_binary64_7197`
136×	`distribute-lft-neg-out_binary64_7198`
135×	`distribute-rgt-neg-out_binary64_7199`
132×	`*-commutative_binary64_7170`
130×	`distribute-lft-neg-in_binary64_7196`
82×	`sub-neg_binary64_7232`
61×	`+-commutative_binary64_7169`
52×	`neg-sub0_binary64_7234`
47×	`distribute-rgt-out_binary64_7192`
45×	`exp-prod_binary64_7291`
43×	`neg-mul-1_binary64_7235`
42×	`cube-prod_binary64_7267` `unsub-neg_binary64_7233`
40×	`sqr-pow_binary64_7211`
34×	`swap-sqr_binary64_7206`
33×	`log-prod_binary64_7325`
31×	`distribute-neg-out_binary64_7201` `distribute-lft-out_binary64_7190`
28×	`distribute-neg-in_binary64_7200`
23×	`distribute-rgt-out--_binary64_7193`
20×	`-rgt-identity_binary64_7229` `-lft-identity_binary64_7228`
17×	`exp-sum_binary64_7285`
14×	`distribute-lft-out--_binary64_7191` `associate--r+_binary64_7175`
12×	`unswap-sqr_binary64_7207`
11×	`exp-diff_binary64_7287` `associate--l+_binary64_7176` `associate-+l+_binary64_7172`
8×	`unpow3_binary64_7305` `associate-+r+_binary64_7171`
7×	`cube-mult_binary64_7269` `mul-1-neg_binary64_7231`
6×	`difference-of-squares_binary64_7208`
5×	`prod-exp_binary64_7288` `pow-sqr_binary64_7212`
4×	`cube-unmult_binary64_7276` `cancel-sign-sub_binary64_7204`
3×	`cube-neg_binary64_7266` `sqr-neg_binary64_7253` `div-sub_binary64_7244` `associate-+r-_binary64_7173`
2×	`associate-+l-_binary64_7174`
1×	`exp-lft-cube_binary64_7295` `1-exp_binary64_7283` `exp-1-e_binary64_7282` `rem-3cbrt-lft_binary64_7264` `rem-sqrt-square_binary64_7252` `rem-square-sqrt_binary64_7251` `remove-double-neg_binary64_7227` `+-rgt-identity_binary64_7224`
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` `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-sqr_binary64_7294` `exp-cbrt_binary64_7293` `exp-sqrt_binary64_7292` `div-exp_binary64_7290` `rec-exp_binary64_7289` `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` `rem-3cbrt-rft_binary64_7265` `rem-cbrt-cube_binary64_7263` `rem-cube-cbrt_binary64_7262` `sqr-abs_binary64_7254` `times-frac_binary64_7245` `/-rgt-identity_binary64_7230` `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_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` `distribute-neg-frac_binary64_7203` `distribute-frac-neg_binary64_7202` `distribute-rgt1-in_binary64_7195` `distribute-lft1-in_binary64_7194` `count-2_binary64_7187` `associate-/l/_binary64_7186` `associate-/r/_binary64_7185` `associate-/l_binary64_7184` `associate-/r_binary64_7183` `associate-l/_binary64_7182` `associate-*r/_binary64_7181` `associate--r-_binary64_7178` `associate--l-_binary64_7177`

Counts

172 → 141

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	2572
1	522	2323
2	1599	2317
3	4972	2317

prune145.0ms (1.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	139	2	141
Fresh	3	3	6
Picked	0	1	1
Done	0	2	2
Total	142	8	150

Error

0.0b

Counts

150 → 8

Compiler

Compiled 2583 to 1505 computations (41.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 6 (.f64 z (-.f64 x y))) (.f64 x -3))) (cbrt.f64 (+.f64 (.f64 6 (.f64 z (-.f64 x y))) (*.f64 x -3))))
0.6b	(cbrt.f64 (+.f64 (.f64 6 (.f64 z (-.f64 x y))) (*.f64 x -3)))
0.6b	(cbrt.f64 (+.f64 (.f64 6 (.f64 z (-.f64 x y))) (*.f64 x -3)))
0.6b	(cbrt.f64 (+.f64 (.f64 6 (.f64 z (-.f64 x y))) (*.f64 x -3)))

rewrite334.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_7270`
23×	`add-sqr-sqrt_binary64_7261`
18×	`cbrt-div_binary64_7271`
15×	`add-cube-cbrt_binary64_7274` `*-un-lft-identity_binary64_7239`
11×	`pow1_binary64_7300`
9×	`pow1/3_binary64_7321` `flip3-+_binary64_7242` `flip-+_binary64_7213`
6×	`add-exp-log_binary64_7277` `swap-sqr_binary64_7206` `associate-l_binary64_7180` `associate-r_binary64_7179`
4×	`add-log-exp_binary64_7278` `add-cbrt-cube_binary64_7275` `frac-times_binary64_7249` `unswap-sqr_binary64_7207`
2×	`pow-prod-down_binary64_7310` `pow-prod-up_binary64_7309` `pow-sqr_binary64_7212` `associate-l/_binary64_7182` `associate-r/_binary64_7181`
1×	`pow2_binary64_7320` `pow-plus_binary64_7302` `prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `*-commutative_binary64_7170`

Counts

4 → 87

Calls

4 calls:

24.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 6 (.f64 z (-.f64 x y))) (.f64 x -3))) (cbrt.f64 (+.f64 (.f64 6 (.f64 z (-.f64 x y))) (*.f64 x -3))))
9.0ms	(cbrt.f64 (+.f64 (.f64 6 (.f64 z (-.f64 x y))) (*.f64 x -3)))
9.0ms	(cbrt.f64 (+.f64 (.f64 6 (.f64 z (-.f64 x y))) (*.f64 x -3)))
9.0ms	(cbrt.f64 (+.f64 (.f64 6 (.f64 z (-.f64 x y))) (*.f64 x -3)))

Compiler

Compiled 5204 to 2926 computations (43.8% saved)

series4.5s (32.6%)

Error

0.0b

Counts

4 → 92

Calls

4 calls:

2.1s	(.f64 (cbrt.f64 (+.f64 (.f64 6 (.f64 z (-.f64 x y))) (.f64 x -3))) (cbrt.f64 (+.f64 (.f64 6 (.f64 z (-.f64 x y))) (*.f64 x -3))))
602.0ms	(cbrt.f64 (+.f64 (.f64 6 (.f64 z (-.f64 x y))) (*.f64 x -3)))
586.0ms	(cbrt.f64 (+.f64 (.f64 6 (.f64 z (-.f64 x y))) (*.f64 x -3)))
583.0ms	(cbrt.f64 (+.f64 (.f64 6 (.f64 z (-.f64 x y))) (*.f64 x -3)))

Compiler

Compiled 20766 to 16124 computations (22.4% saved)

simplify206.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

816×	`times-frac_binary64_7245`
639×	`associate-/l*_binary64_7184`
246×	`*-commutative_binary64_7170`
131×	`cancel-sign-sub-inv_binary64_7205`
109×	`sub-neg_binary64_7232`
107×	`sqr-pow_binary64_7211`
91×	`+-commutative_binary64_7169`
70×	`associate-/r/_binary64_7185`
69×	`distribute-rgt-neg-in_binary64_7197` `associate-r_binary64_7179`
67×	`unswap-sqr_binary64_7207` `associate-/r*_binary64_7183`
65×	`distribute-lft-neg-in_binary64_7196`
63×	`associate-*r/_binary64_7181`
55×	`neg-mul-1_binary64_7235` `neg-sub0_binary64_7234` `associate-+r+_binary64_7171`
38×	`distribute-neg-in_binary64_7200`
34×	`distribute-rgt-in_binary64_7189`
30×	`distribute-lft-in_binary64_7188`
28×	`exp-prod_binary64_7291`
25×	`associate--l+_binary64_7176`
23×	`log-prod_binary64_7325`
22×	`unpow1/3_binary64_7306`
18×	`swap-sqr_binary64_7206`
15×	`distribute-neg-frac_binary64_7203`
13×	`associate--r+_binary64_7175`
9×	`unpow3_binary64_7305` `cube-mult_binary64_7269` `cube-prod_binary64_7267`
8×	`unpow2_binary64_7304` `unpow1_binary64_7297`
7×	`distribute-lft-neg-out_binary64_7198` `associate-l_binary64_7180`
6×	`log-div_binary64_7326` `distribute-rgt-neg-out_binary64_7199` `distribute-lft-out--_binary64_7191`
5×	`log-pow_binary64_7328` `distribute-rgt-out--_binary64_7193` `distribute-rgt-out_binary64_7192`
4×	`cube-unmult_binary64_7276`
3×	`log-rec_binary64_7327` `remove-double-neg_binary64_7227`
2×	`rem-3cbrt-lft_binary64_7264` `rem-sqrt-square_binary64_7252`
1×	`1-exp_binary64_7283` `rem-3cbrt-rft_binary64_7265` `rem-square-sqrt_binary64_7251` `*-rgt-identity_binary64_7229` `difference-of-squares_binary64_7208` `distribute-lft-out_binary64_7190` `count-2_binary64_7187` `associate-+r-_binary64_7173`
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` `unpow1/2_binary64_7303` `pow-plus_binary64_7302` `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` `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-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` `div-sub_binary64_7244` `unsub-neg_binary64_7233` `mul-1-neg_binary64_7231` `/-rgt-identity_binary64_7230` `-lft-identity_binary64_7228` `sub0-neg_binary64_7226` `--rgt-identity_binary64_7225` `+-rgt-identity_binary64_7224` `+-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` `pow-sqr_binary64_7212` `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-rgt1-in_binary64_7195` `distribute-lft1-in_binary64_7194` `associate-/l/_binary64_7186` `associate-*l/_binary64_7182` `associate--r-_binary64_7178` `associate--l-_binary64_7177` `associate-+l-_binary64_7174` `associate-+l+_binary64_7172`

Counts

179 → 166

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	646	12699
1	2135	12065
2	5213	12065

prune823.0ms (6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	164	2	166
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	164	10	174

Error

0.0b

Counts

174 → 10

Compiler

Compiled 12234 to 7456 computations (39.1% saved)

regimes925.0ms (6.7%)

Accuracy

Total 0.2b remaining (90.6%)

Threshold costs 0.2b (90.6%)

Compiler

Compiled 10893 to 8412 computations (22.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64_7169`
6×	`sub-neg_binary64_7232` `*-commutative_binary64_7170`
4×	`neg-mul-1_binary64_7235` `neg-sub0_binary64_7234`
2×	`cancel-sign-sub-inv_binary64_7205` `distribute-rgt-neg-in_binary64_7197`
1×	`distribute-lft-neg-out_binary64_7198` `distribute-lft-neg-in_binary64_7196`
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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	21	16
2	34	16
3	42	16
4	47	16
5	48	16
6	48	16

end0.0ms (0%)

sample2.3s (16.9%)

Algorithm

1×

intervals

Results

279.0ms	7350×	body	128	valid
31.0ms	238×	body	1024	valid
23.0ms	244×	body	512	valid
21.0ms	613×	body	128	invalid
11.0ms	168×	body	256	valid

Compiler

Compiled 2185 to 1686 computations (22.8% saved)

Details

analyze606.0ms (4.4%)

sample22.0ms (0.2%)

simplify225.0ms (1.6%)

prune4.0ms (0%)

localize8.0ms (0.1%)

rewrite152.0ms (1.1%)

series843.0ms (6.1%)

simplify152.0ms (1.1%)

prune116.0ms (0.8%)

localize7.0ms (0.1%)

rewrite93.0ms (0.7%)

series715.0ms (5.2%)

simplify88.0ms (0.6%)

prune94.0ms (0.7%)

localize10.0ms (0.1%)

rewrite180.0ms (1.3%)

series1.1s (8.1%)

simplify86.0ms (0.6%)

prune145.0ms (1.1%)

localize14.0ms (0.1%)

rewrite334.0ms (2.4%)

series4.5s (32.6%)

simplify206.0ms (1.5%)

prune823.0ms (6%)

regimes925.0ms (6.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.3s (16.9%)

Profiling