Details

analyze142.0ms (6.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

2×	`associate-l_binary64_7180` `*-commutative_binary64_7170`
1×	`associate-r_binary64_7179`
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` `1-exp_binary64_7283` `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` `neg-mul-1_binary64_7235` `neg-sub0_binary64_7234` `unsub-neg_binary64_7233` `sub-neg_binary64_7232` `mul-1-neg_binary64_7231` `/-rgt-identity_binary64_7230` `-rgt-identity_binary64_7229` `-lft-identity_binary64_7228` `remove-double-neg_binary64_7227` `sub0-neg_binary64_7226` `--rgt-identity_binary64_7225` `+-rgt-identity_binary64_7224` `+-lft-identity_binary64_7223` `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` `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` `cancel-sign-sub-inv_binary64_7205` `cancel-sign-sub_binary64_7204` `distribute-neg-frac_binary64_7203` `distribute-frac-neg_binary64_7202` `distribute-neg-out_binary64_7201` `distribute-neg-in_binary64_7200` `distribute-rgt-neg-out_binary64_7199` `distribute-lft-neg-out_binary64_7198` `distribute-rgt-neg-in_binary64_7197` `distribute-lft-neg-in_binary64_7196` `distribute-rgt1-in_binary64_7195` `distribute-lft1-in_binary64_7194` `distribute-rgt-out--_binary64_7193` `distribute-rgt-out_binary64_7192` `distribute-lft-out--_binary64_7191` `distribute-lft-out_binary64_7190` `distribute-rgt-in_binary64_7189` `distribute-lft-in_binary64_7188` `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` `associate--l+_binary64_7176` `associate--r+_binary64_7175` `associate-+l-_binary64_7174` `associate-+r-_binary64_7173` `associate-+l+_binary64_7172` `associate-+r+_binary64_7171` `+-commutative_binary64_7169`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	10	7
3	10	7
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample10.0ms (0.5%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify10.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-l_binary64_7180` `*-commutative_binary64_7170`
1×	`associate-r_binary64_7179`
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` `1-exp_binary64_7283` `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` `neg-mul-1_binary64_7235` `neg-sub0_binary64_7234` `unsub-neg_binary64_7233` `sub-neg_binary64_7232` `mul-1-neg_binary64_7231` `/-rgt-identity_binary64_7230` `-rgt-identity_binary64_7229` `-lft-identity_binary64_7228` `remove-double-neg_binary64_7227` `sub0-neg_binary64_7226` `--rgt-identity_binary64_7225` `+-rgt-identity_binary64_7224` `+-lft-identity_binary64_7223` `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` `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` `cancel-sign-sub-inv_binary64_7205` `cancel-sign-sub_binary64_7204` `distribute-neg-frac_binary64_7203` `distribute-frac-neg_binary64_7202` `distribute-neg-out_binary64_7201` `distribute-neg-in_binary64_7200` `distribute-rgt-neg-out_binary64_7199` `distribute-lft-neg-out_binary64_7198` `distribute-rgt-neg-in_binary64_7197` `distribute-lft-neg-in_binary64_7196` `distribute-rgt1-in_binary64_7195` `distribute-lft1-in_binary64_7194` `distribute-rgt-out--_binary64_7193` `distribute-rgt-out_binary64_7192` `distribute-lft-out--_binary64_7191` `distribute-lft-out_binary64_7190` `distribute-rgt-in_binary64_7189` `distribute-lft-in_binary64_7188` `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` `associate--l+_binary64_7176` `associate--r+_binary64_7175` `associate-+l-_binary64_7174` `associate-+r-_binary64_7173` `associate-+l+_binary64_7172` `associate-+r+_binary64_7171` `+-commutative_binary64_7169`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	10	7
3	10	7

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 (.f64 x 3) x)

rewrite26.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

6×	`pow1_binary64_7300` `add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275`
3×	`pow-prod-down_binary64_7310` `prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `associate-r_binary64_7179`
2×	`add-cube-cbrt_binary64_7274` `add-sqr-sqrt_binary64_7261` `*-un-lft-identity_binary64_7239`
1×	`add-log-exp_binary64_7278` `associate-l_binary64_7180` `*-commutative_binary64_7170`

Counts

1 → 18

Calls

1 calls:

6.0ms

(*.f64 (*.f64 x 3) x)

Compiler

Compiled 184 to 119 computations (35.3% saved)

series38.0ms (1.7%)

Error

0.1b

Counts

1 → 3

Calls

1 calls:

35.0ms

(*.f64 (*.f64 x 3) x)

Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify69.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

496×	`associate-/r*_binary64_7183`
445×	`times-frac_binary64_7245`
318×	`associate-l_binary64_7180`
300×	`log-div_binary64_7326`
265×	`log-prod_binary64_7325`
257×	`sqr-pow_binary64_7211`
211×	`*-commutative_binary64_7170`
184×	`associate-r_binary64_7179`
165×	`associate-/l*_binary64_7184`
142×	`unswap-sqr_binary64_7207`
140×	`associate-+l+_binary64_7172`
126×	`pow-sqr_binary64_7212`
118×	`distribute-rgt-in_binary64_7189`
117×	`cube-prod_binary64_7267`
112×	`associate-/l/_binary64_7186`
108×	`exp-prod_binary64_7291` `distribute-lft-in_binary64_7188` `associate-/r/_binary64_7185`
101×	`+-commutative_binary64_7169`
95×	`distribute-rgt-out_binary64_7192`
91×	`associate-+r+_binary64_7171`
66×	`distribute-lft-out_binary64_7190`
60×	`associate-*r/_binary64_7181`
46×	`swap-sqr_binary64_7206`
32×	`unpow3_binary64_7305` `rem-sqrt-square_binary64_7252` `*-lft-identity_binary64_7228`
28×	`log-pow_binary64_7328` `cube-div_binary64_7268` `*-rgt-identity_binary64_7229`
27×	`cube-mult_binary64_7269`
25×	`count-2_binary64_7187`
24×	`associate-*l/_binary64_7182`
20×	`pow-plus_binary64_7302`
17×	`distribute-rgt1-in_binary64_7195`
10×	`log-rec_binary64_7327`
9×	`unpow1/2_binary64_7303`
8×	`prod-exp_binary64_7288`
7×	`distribute-lft1-in_binary64_7194`
6×	`exp-lft-cube_binary64_7295`
5×	`cube-unmult_binary64_7276`
3×	`unpow2_binary64_7304`
2×	`exp-lft-sqr_binary64_7294` `exp-sqrt_binary64_7292` `/-rgt-identity_binary64_7230` `remove-double-div_binary64_7215`
1×	`unpow1_binary64_7297` `1-exp_binary64_7283` `exp-1-e_binary64_7282`
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` `exp-to-pow_binary64_7301` `pow-base-1_binary64_7299` `unpow0_binary64_7298` `unpow-1_binary64_7296` `exp-cbrt_binary64_7293` `div-exp_binary64_7290` `rec-exp_binary64_7289` `exp-diff_binary64_7287` `exp-neg_binary64_7286` `exp-sum_binary64_7285` `e-exp-1_binary64_7284` `exp-0_binary64_7281` `rem-log-exp_binary64_7280` `rem-exp-log_binary64_7279` `cube-neg_binary64_7266` `rem-3cbrt-rft_binary64_7265` `rem-3cbrt-lft_binary64_7264` `rem-cbrt-cube_binary64_7263` `rem-cube-cbrt_binary64_7262` `sqr-abs_binary64_7254` `sqr-neg_binary64_7253` `rem-square-sqrt_binary64_7251` `div-sub_binary64_7244` `neg-mul-1_binary64_7235` `neg-sub0_binary64_7234` `unsub-neg_binary64_7233` `sub-neg_binary64_7232` `mul-1-neg_binary64_7231` `remove-double-neg_binary64_7227` `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` `difference-of-sqr--1_binary64_7210` `difference-of-sqr-1_binary64_7209` `difference-of-squares_binary64_7208` `cancel-sign-sub-inv_binary64_7205` `cancel-sign-sub_binary64_7204` `distribute-neg-frac_binary64_7203` `distribute-frac-neg_binary64_7202` `distribute-neg-out_binary64_7201` `distribute-neg-in_binary64_7200` `distribute-rgt-neg-out_binary64_7199` `distribute-lft-neg-out_binary64_7198` `distribute-rgt-neg-in_binary64_7197` `distribute-lft-neg-in_binary64_7196` `distribute-rgt-out--_binary64_7193` `distribute-lft-out--_binary64_7191` `associate--r-_binary64_7178` `associate--l-_binary64_7177` `associate--l+_binary64_7176` `associate--r+_binary64_7175` `associate-+l-_binary64_7174` `associate-+r-_binary64_7173`

Counts

21 → 17

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	215
1	87	179
2	278	170
3	551	168
4	796	168
5	1471	168
6	2549	168
7	4446	168
8	4931	168

prune18.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	4	18

Error

0.0b

Counts

18 → 4

Compiler

Compiled 159 to 100 computations (37.1% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 3 (.f64 x x))

rewrite22.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_7300` `add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275`
3×	`pow-prod-down_binary64_7310` `prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `add-sqr-sqrt_binary64_7261` `associate-l_binary64_7180`
2×	`add-cube-cbrt_binary64_7274` `*-un-lft-identity_binary64_7239`
1×	`add-log-exp_binary64_7278` `unswap-sqr_binary64_7207` `associate-r_binary64_7179` `*-commutative_binary64_7170`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 3 (*.f64 x x))

Compiler

Compiled 193 to 113 computations (41.5% saved)

series38.0ms (1.8%)

Error

0.0b

Counts

1 → 3

Calls

1 calls:

36.0ms

(*.f64 3 (*.f64 x x))

Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify67.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

701×	`associate-/l/_binary64_7186`
568×	`associate-/r/_binary64_7185`
384×	`distribute-rgt-in_binary64_7189`
347×	`distribute-lft-in_binary64_7188`
212×	`*-commutative_binary64_7170`
196×	`sqr-pow_binary64_7211`
171×	`times-frac_binary64_7245`
165×	`associate-l_binary64_7180`
124×	`unswap-sqr_binary64_7207`
122×	`associate-r_binary64_7179`
120×	`associate-/l*_binary64_7184`
116×	`associate-+l+_binary64_7172`
95×	`pow-sqr_binary64_7212`
88×	`distribute-rgt-out_binary64_7192`
73×	`associate-+r+_binary64_7171`
69×	`exp-prod_binary64_7291`
61×	`log-prod_binary64_7325`
59×	`cube-prod_binary64_7267`
48×	`distribute-lft-out_binary64_7190` `associate-/r*_binary64_7183`
42×	`log-div_binary64_7326`
39×	`associate-*r/_binary64_7181`
30×	`count-2_binary64_7187`
27×	`log-pow_binary64_7328`
26×	`unpow3_binary64_7305`
21×	`cube-mult_binary64_7269`
19×	`associate-*l/_binary64_7182`
18×	`swap-sqr_binary64_7206`
17×	`pow-plus_binary64_7302` `*-lft-identity_binary64_7228`
16×	`+-commutative_binary64_7169`
13×	`distribute-rgt1-in_binary64_7195`
10×	`*-rgt-identity_binary64_7229`
9×	`distribute-lft1-in_binary64_7194`
7×	`prod-exp_binary64_7288` `cube-unmult_binary64_7276`
4×	`/-rgt-identity_binary64_7230`
3×	`unpow2_binary64_7304` `exp-lft-cube_binary64_7295`
1×	`unpow1/2_binary64_7303` `unpow1_binary64_7297` `1-exp_binary64_7283` `rem-sqrt-square_binary64_7252`
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` `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-sqr_binary64_7294` `exp-cbrt_binary64_7293` `exp-sqrt_binary64_7292` `div-exp_binary64_7290` `rec-exp_binary64_7289` `exp-diff_binary64_7287` `exp-neg_binary64_7286` `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-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-square-sqrt_binary64_7251` `div-sub_binary64_7244` `neg-mul-1_binary64_7235` `neg-sub0_binary64_7234` `unsub-neg_binary64_7233` `sub-neg_binary64_7232` `mul-1-neg_binary64_7231` `remove-double-neg_binary64_7227` `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` `difference-of-squares_binary64_7208` `cancel-sign-sub-inv_binary64_7205` `cancel-sign-sub_binary64_7204` `distribute-neg-frac_binary64_7203` `distribute-frac-neg_binary64_7202` `distribute-neg-out_binary64_7201` `distribute-neg-in_binary64_7200` `distribute-rgt-neg-out_binary64_7199` `distribute-lft-neg-out_binary64_7198` `distribute-rgt-neg-in_binary64_7197` `distribute-lft-neg-in_binary64_7196` `distribute-rgt-out--_binary64_7193` `distribute-lft-out--_binary64_7191` `associate--r-_binary64_7178` `associate--l-_binary64_7177` `associate--l+_binary64_7176` `associate--r+_binary64_7175` `associate-+l-_binary64_7174` `associate-+r-_binary64_7173`

Counts

22 → 11

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	225
1	74	189
2	172	180
3	415	180
4	626	180
5	1022	180
6	1992	180
7	4963	180
8	4886	180

prune14.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	10	1	11
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	10	5	15

Error

0.0b

Counts

15 → 5

Compiler

Compiled 110 to 81 computations (26.4% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x x) (cbrt.f64 3)))
0.2b	(.f64 (.f64 x x) (cbrt.f64 3))

rewrite90.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`pow1_binary64_7300` `add-exp-log_binary64_7277`
18×	`pow-prod-down_binary64_7310` `prod-exp_binary64_7288` `cbrt-unprod_binary64_7272`
16×	`add-cbrt-cube_binary64_7275`
7×	`associate-r_binary64_7179`
6×	`add-sqr-sqrt_binary64_7261`
4×	`add-cube-cbrt_binary64_7274` `*-un-lft-identity_binary64_7239` `cbrt-prod_binary64_7270`
2×	`add-log-exp_binary64_7278` `unswap-sqr_binary64_7207` `associate-l_binary64_7180` `*-commutative_binary64_7170`

Counts

2 → 51

Calls

2 calls:

13.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x x) (cbrt.f64 3)))
7.0ms	(.f64 (.f64 x x) (cbrt.f64 3))

Compiler

Compiled 940 to 700 computations (25.5% saved)

series166.0ms (7.6%)

Error

0.0b

Counts

2 → 6

Calls

2 calls:

102.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x x) (cbrt.f64 3)))
58.0ms	(.f64 (.f64 x x) (cbrt.f64 3))

Compiler

Compiled 180 to 175 computations (2.8% saved)

simplify114.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

479×	`log-div_binary64_7326`
372×	`associate-+l+_binary64_7172`
326×	`associate-/l*_binary64_7184`
324×	`associate-/l/_binary64_7186`
308×	`associate-/r/_binary64_7185`
290×	`distribute-rgt-in_binary64_7189`
286×	`sqr-pow_binary64_7211`
284×	`unswap-sqr_binary64_7207`
275×	`*-commutative_binary64_7170`
245×	`distribute-lft-in_binary64_7188`
210×	`associate-+r+_binary64_7171`
180×	`log-prod_binary64_7325`
139×	`associate-l_binary64_7180`
131×	`pow-sqr_binary64_7212`
116×	`associate-r_binary64_7179`
85×	`times-frac_binary64_7245`
78×	`exp-prod_binary64_7291`
74×	`cube-prod_binary64_7267`
49×	`associate-*r/_binary64_7181`
48×	`swap-sqr_binary64_7206`
46×	`rem-sqrt-square_binary64_7252`
40×	`distribute-lft-out_binary64_7190`
35×	`associate-/r*_binary64_7183`
31×	`+-commutative_binary64_7169`
24×	`log-rec_binary64_7327` `unpow3_binary64_7305`
21×	`distribute-rgt-out_binary64_7192`
19×	`cube-mult_binary64_7269` `*-rgt-identity_binary64_7229`
18×	`*-lft-identity_binary64_7228`
12×	`log-pow_binary64_7328` `pow-plus_binary64_7302` `distribute-rgt1-in_binary64_7195`
9×	`associate-*l/_binary64_7182`
8×	`unpow1/2_binary64_7303` `cube-div_binary64_7268` `count-2_binary64_7187`
7×	`cube-unmult_binary64_7276`
6×	`distribute-lft1-in_binary64_7194`
4×	`prod-exp_binary64_7288` `/-rgt-identity_binary64_7230`
2×	`exp-lft-cube_binary64_7295`
1×	`unpow2_binary64_7304` `unpow1_binary64_7297` `exp-lft-sqr_binary64_7294` `exp-sqrt_binary64_7292` `1-exp_binary64_7283` `exp-1-e_binary64_7282` `rem-cube-cbrt_binary64_7262`
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` `exp-to-pow_binary64_7301` `pow-base-1_binary64_7299` `unpow0_binary64_7298` `unpow-1_binary64_7296` `exp-cbrt_binary64_7293` `div-exp_binary64_7290` `rec-exp_binary64_7289` `exp-diff_binary64_7287` `exp-neg_binary64_7286` `exp-sum_binary64_7285` `e-exp-1_binary64_7284` `exp-0_binary64_7281` `rem-log-exp_binary64_7280` `rem-exp-log_binary64_7279` `cube-neg_binary64_7266` `rem-3cbrt-rft_binary64_7265` `rem-3cbrt-lft_binary64_7264` `rem-cbrt-cube_binary64_7263` `sqr-abs_binary64_7254` `sqr-neg_binary64_7253` `rem-square-sqrt_binary64_7251` `div-sub_binary64_7244` `neg-mul-1_binary64_7235` `neg-sub0_binary64_7234` `unsub-neg_binary64_7233` `sub-neg_binary64_7232` `mul-1-neg_binary64_7231` `remove-double-neg_binary64_7227` `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` `difference-of-squares_binary64_7208` `cancel-sign-sub-inv_binary64_7205` `cancel-sign-sub_binary64_7204` `distribute-neg-frac_binary64_7203` `distribute-frac-neg_binary64_7202` `distribute-neg-out_binary64_7201` `distribute-neg-in_binary64_7200` `distribute-rgt-neg-out_binary64_7199` `distribute-lft-neg-out_binary64_7198` `distribute-rgt-neg-in_binary64_7197` `distribute-lft-neg-in_binary64_7196` `distribute-rgt-out--_binary64_7193` `distribute-lft-out--_binary64_7191` `associate--r-_binary64_7178` `associate--l-_binary64_7177` `associate--l+_binary64_7176` `associate--r+_binary64_7175` `associate-+l-_binary64_7174` `associate-+r-_binary64_7173`

Counts

57 → 39

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	1055
1	165	563
2	525	533
3	843	533
4	1289	533
5	2545	533
6	4745	533
7	4851	533
8	5140	533

prune34.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	39	5	44

Error

0.0b

Counts

44 → 5

Compiler

Compiled 395 to 290 computations (26.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 x x) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
0.2b	(.f64 (cbrt.f64 3) (.f64 (.f64 x x) (.f64 (cbrt.f64 3) (cbrt.f64 3))))

rewrite102.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`pow1_binary64_7300`
32×	`add-exp-log_binary64_7277`
27×	`pow-prod-down_binary64_7310`
21×	`prod-exp_binary64_7288` `cbrt-unprod_binary64_7272`
19×	`add-cbrt-cube_binary64_7275`
7×	`associate-l_binary64_7180`
4×	`add-cube-cbrt_binary64_7274` `add-sqr-sqrt_binary64_7261` `*-un-lft-identity_binary64_7239` `pow-prod-up_binary64_7309` `pow-plus_binary64_7302`
3×	`cbrt-prod_binary64_7270`
2×	`add-log-exp_binary64_7278` `associate-r_binary64_7179` `*-commutative_binary64_7170` `pow2_binary64_7320` `pow-sqr_binary64_7212`
1×	`unswap-sqr_binary64_7207`

Counts

2 → 59

Calls

2 calls:

17.0ms	(.f64 (cbrt.f64 3) (.f64 (.f64 x x) (.f64 (cbrt.f64 3) (cbrt.f64 3))))
12.0ms	(.f64 (.f64 x x) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

Compiler

Compiled 1060 to 794 computations (25.1% saved)

series180.0ms (8.3%)

Error

0.0b

Counts

2 → 6

Calls

2 calls:

93.0ms	(.f64 (cbrt.f64 3) (.f64 (.f64 x x) (.f64 (cbrt.f64 3) (cbrt.f64 3))))
80.0ms	(.f64 (.f64 x x) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

Compiler

Compiled 171 to 166 computations (2.9% saved)

simplify76.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

844×	`associate-/r/_binary64_7185`
337×	`unswap-sqr_binary64_7207`
326×	`sqr-pow_binary64_7211`
268×	`*-commutative_binary64_7170`
233×	`associate-+l+_binary64_7172`
226×	`distribute-rgt-in_binary64_7189`
156×	`associate-/l*_binary64_7184`
151×	`associate-+r+_binary64_7171`
148×	`pow-sqr_binary64_7212`
144×	`distribute-lft-in_binary64_7188`
122×	`associate-l_binary64_7180`
115×	`associate-r_binary64_7179`
114×	`times-frac_binary64_7245`
107×	`exp-prod_binary64_7291`
105×	`log-prod_binary64_7325`
104×	`cube-prod_binary64_7267`
86×	`associate-/l/_binary64_7186`
77×	`distribute-lft-out_binary64_7190`
76×	`associate-/r*_binary64_7183`
58×	`associate-*r/_binary64_7181`
48×	`swap-sqr_binary64_7206`
44×	`unpow3_binary64_7305`
39×	`distribute-rgt-out_binary64_7192`
38×	`cube-mult_binary64_7269`
30×	`+-commutative_binary64_7169`
22×	`associate-*l/_binary64_7182`
15×	`distribute-rgt1-in_binary64_7195` `count-2_binary64_7187`
12×	`rem-sqrt-square_binary64_7252`
11×	`pow-plus_binary64_7302`
10×	`cube-unmult_binary64_7276`
9×	`-rgt-identity_binary64_7229` `-lft-identity_binary64_7228`
8×	`log-pow_binary64_7328` `distribute-lft1-in_binary64_7194`
4×	`prod-exp_binary64_7288`
3×	`unpow2_binary64_7304`
2×	`unpow1/2_binary64_7303` `unpow1_binary64_7297` `exp-lft-cube_binary64_7295` `/-rgt-identity_binary64_7230`
1×	`1-exp_binary64_7283` `rem-cube-cbrt_binary64_7262`
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-sqr_binary64_7294` `exp-cbrt_binary64_7293` `exp-sqrt_binary64_7292` `div-exp_binary64_7290` `rec-exp_binary64_7289` `exp-diff_binary64_7287` `exp-neg_binary64_7286` `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-3cbrt-rft_binary64_7265` `rem-3cbrt-lft_binary64_7264` `rem-cbrt-cube_binary64_7263` `sqr-abs_binary64_7254` `sqr-neg_binary64_7253` `rem-square-sqrt_binary64_7251` `div-sub_binary64_7244` `neg-mul-1_binary64_7235` `neg-sub0_binary64_7234` `unsub-neg_binary64_7233` `sub-neg_binary64_7232` `mul-1-neg_binary64_7231` `remove-double-neg_binary64_7227` `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` `difference-of-squares_binary64_7208` `cancel-sign-sub-inv_binary64_7205` `cancel-sign-sub_binary64_7204` `distribute-neg-frac_binary64_7203` `distribute-frac-neg_binary64_7202` `distribute-neg-out_binary64_7201` `distribute-neg-in_binary64_7200` `distribute-rgt-neg-out_binary64_7199` `distribute-lft-neg-out_binary64_7198` `distribute-rgt-neg-in_binary64_7197` `distribute-lft-neg-in_binary64_7196` `distribute-rgt-out--_binary64_7193` `distribute-lft-out--_binary64_7191` `associate--r-_binary64_7178` `associate--l-_binary64_7177` `associate--l+_binary64_7176` `associate--r+_binary64_7175` `associate-+l-_binary64_7174` `associate-+r-_binary64_7173`

Counts

65 → 51

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	71	1121
1	146	664
2	489	621
3	852	619
4	1622	614
5	3009	572
6	5540	572

prune39.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	50	6	56

Error

0.0b

Counts

56 → 6

Compiler

Compiled 489 to 385 computations (21.3% saved)

regimes105.0ms (4.8%)

Accuracy

Total 0.2b remaining (99.1%)

Threshold costs 0.2b (99.1%)

Compiler

Compiled 832 to 680 computations (18.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_binary64_7170

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 neg-mul-1_binary64_7235 neg-sub0_binary64_7234 unsub-neg_binary64_7233 sub-neg_binary64_7232 mul-1-neg_binary64_7231 /-rgt-identity_binary64_7230 *-rgt-identity_binary64_7229 *-lft-identity_binary64_7228 remove-double-neg_binary64_7227 sub0-neg_binary64_7226 --rgt-identity_binary64_7225 +-rgt-identity_binary64_7224 +-lft-identity_binary64_7223 cancel-sign-sub-inv_binary64_7205 cancel-sign-sub_binary64_7204 distribute-neg-frac_binary64_7203 distribute-frac-neg_binary64_7202 distribute-neg-out_binary64_7201 distribute-neg-in_binary64_7200 distribute-rgt-neg-out_binary64_7199 distribute-lft-neg-out_binary64_7198 distribute-rgt-neg-in_binary64_7197 distribute-lft-neg-in_binary64_7196 +-commutative_binary64_7169

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	7	7

end0.0ms (0%)

sample788.0ms (36.3%)

Algorithm

1×

intervals

Results

124.0ms

8000×

body

128

valid

Compiler

Compiled 421 to 345 computations (18.1% saved)

Details

analyze142.0ms (6.5%)

sample10.0ms (0.5%)

simplify10.0ms (0.4%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite26.0ms (1.2%)

series38.0ms (1.7%)

simplify69.0ms (3.2%)

prune18.0ms (0.8%)

localize3.0ms (0.1%)

rewrite22.0ms (1%)

series38.0ms (1.8%)

simplify67.0ms (3.1%)

prune14.0ms (0.6%)

localize6.0ms (0.3%)

rewrite90.0ms (4.1%)

series166.0ms (7.6%)

simplify114.0ms (5.2%)

prune34.0ms (1.6%)

localize6.0ms (0.3%)

rewrite102.0ms (4.7%)

series180.0ms (8.3%)

simplify76.0ms (3.5%)

prune39.0ms (1.8%)

regimes105.0ms (4.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample788.0ms (36.3%)

Profiling