Details

analyze471.0ms (2.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	74.9%	25.1%	5
0%	74.9%	25.1%	6
0%	74.9%	25.1%	7
6.2%	56.2%	37.6%	8
7.8%	53%	39.2%	9
10.9%	45.6%	43.4%	10
18.3%	31.4%	50.3%	11
19.1%	29.5%	51.3%	12
21.4%	24.8%	53.8%	13
25.8%	16.7%	57.5%	14

Compiler

Compiled 25 to 21 computations (16% saved)

sample39.0ms (0.2%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
4.0ms	50×	body	128	invalid
2.0ms	26×	body	128	nan

Compiler

Compiled 49 to 44 computations (10.2% saved)

simplify433.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

518×	`distribute-rgt-out--_binary64_7193`
509×	`distribute-rgt-out_binary64_7192`
403×	`sub-neg_binary64_7232`
390×	`unsub-neg_binary64_7233`
376×	`distribute-rgt-in_binary64_7189`
316×	`cancel-sign-sub-inv_binary64_7205`
308×	`times-frac_binary64_7245`
269×	`distribute-neg-in_binary64_7200`
193×	`associate--r-_binary64_7178`
183×	`associate--l-_binary64_7177`
168×	`associate-+r+_binary64_7171`
163×	`associate-+l+_binary64_7172`
132×	`distribute-rgt-neg-in_binary64_7197`
128×	`associate--l+_binary64_7176`
116×	`neg-mul-1_binary64_7235`
111×	`associate-+l-_binary64_7174`
104×	`distribute-lft-neg-in_binary64_7196`
98×	`neg-sub0_binary64_7234`
97×	`distribute-lft-neg-out_binary64_7198` `associate--r+_binary64_7175`
92×	`distribute-rgt-neg-out_binary64_7199`
85×	`distribute-neg-out_binary64_7201`
83×	`associate-+r-_binary64_7173` `+-commutative_binary64_7169`
63×	`sub0-neg_binary64_7226`
55×	`distribute-lft-in_binary64_7188`
44×	`remove-double-neg_binary64_7227`
38×	`*-commutative_binary64_7170`
37×	`+-rgt-identity_binary64_7224`
32×	`associate-r_binary64_7179`
27×	`distribute-lft-out_binary64_7190`
26×	`div-sub_binary64_7244`
25×	`distribute-rgt1-in_binary64_7195`
16×	`associate-l_binary64_7180`
14×	`--rgt-identity_binary64_7225`
9×	`+-lft-identity_binary64_7223`
7×	`distribute-neg-frac_binary64_7203` `distribute-lft-out--_binary64_7191`
6×	`mul0-lft_binary64_7221`
5×	`mul0-rgt_binary64_7222` `distribute-frac-neg_binary64_7202`
4×	`log-prod_binary64_7325`
3×	`+-inverses_binary64_7218` `associate-/l*_binary64_7184`
2×	`cube-unmult_binary64_7276` `sqr-neg_binary64_7253` `mul-1-neg_binary64_7231` `swap-sqr_binary64_7206` `cancel-sign-sub_binary64_7204` `distribute-lft1-in_binary64_7194` `associate-*l/_binary64_7182`
1×	`pow-plus_binary64_7302` `1-exp_binary64_7283` `div0_binary64_7220` `pow-sqr_binary64_7212` `sqr-pow_binary64_7211` `count-2_binary64_7187`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_7502` `erf-erfc_binary64_7501` `erf-odd_binary64_7500` `if-if-and-not_binary64_7499` `if-if-and_binary64_7498` `if-if-or-not_binary64_7497` `if-if-or_binary64_7496` `if-not_binary64_7495` `if-same_binary64_7494` `if-false_binary64_7493` `if-true_binary64_7492` `not-gte_binary64_7491` `not-lte_binary64_7490` `not-gt_binary64_7489` `not-lt_binary64_7488` `gte-same_binary64_7487` `lte-same_binary64_7486` `gt-same_binary64_7485` `lt-same_binary64_7484` `sinh---cosh_binary64_7431` `sinh-+-cosh_binary64_7430` `sinh-cosh_binary64_7429` `tanh-def-c_binary64_7428` `tanh-def-b_binary64_7427` `tanh-def-a_binary64_7426` `cosh-def_binary64_7425` `sinh-def_binary64_7424` `tan-neg_binary64_7371` `cos-neg_binary64_7370` `sin-neg_binary64_7369` `tan-0_binary64_7368` `cos-0_binary64_7367` `sin-0_binary64_7366` `hang-m-tan_binary64_7365` `hang-p-tan_binary64_7364` `hang-m0-tan_binary64_7363` `hang-p0-tan_binary64_7362` `hang-0m-tan_binary64_7361` `hang-0p-tan_binary64_7360` `tan-+PI/2_binary64_7359` `tan-+PI_binary64_7358` `tan-PI_binary64_7357` `tan-PI/3_binary64_7356` `tan-PI/4_binary64_7355` `tan-PI/6_binary64_7354` `cos-+PI/2_binary64_7353` `cos-+PI_binary64_7352` `cos-PI_binary64_7351` `cos-PI/2_binary64_7350` `cos-PI/3_binary64_7349` `cos-PI/4_binary64_7348` `cos-PI/6_binary64_7347` `sin-+PI/2_binary64_7346` `sin-+PI_binary64_7345` `sin-PI_binary64_7344` `sin-PI/2_binary64_7343` `sin-PI/3_binary64_7342` `sin-PI/4_binary64_7341` `sin-PI/6_binary64_7340` `sub-1-sin_binary64_7339` `sub-1-cos_binary64_7338` `-1-add-sin_binary64_7337` `-1-add-cos_binary64_7336` `1-sub-sin_binary64_7335` `1-sub-cos_binary64_7334` `cos-sin-sum_binary64_7333` `log-E_binary64_7329` `log-pow_binary64_7328` `log-rec_binary64_7327` `log-div_binary64_7326` `pow-base-0_binary64_7323` `unpow1/3_binary64_7306` `unpow3_binary64_7305` `unpow2_binary64_7304` `unpow1/2_binary64_7303` `exp-to-pow_binary64_7301` `pow-base-1_binary64_7299` `unpow0_binary64_7298` `unpow1_binary64_7297` `unpow-1_binary64_7296` `exp-lft-cube_binary64_7295` `exp-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-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` `rem-sqrt-square_binary64_7252` `rem-square-sqrt_binary64_7251` `/-rgt-identity_binary64_7230` `-rgt-identity_binary64_7229` `-lft-identity_binary64_7228` `-inverses_binary64_7219` `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` `unswap-sqr_binary64_7207` `associate-/l/_binary64_7186` `associate-/r/_binary64_7185` `associate-/r_binary64_7183` `associate-*r/_binary64_7181`

Counts

1 → 3

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	36
1	38	36
2	92	36
3	238	36
4	547	36
5	1277	36
6	1943	36

prune14.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

4.7b

Counts

4 → 2

Compiler

Compiled 120 to 92 computations (23.3% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z)
0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
4.3b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

rewrite271.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

4.5b

Rules

27×	`add-sqr-sqrt_binary64_7261`
23×	`*-un-lft-identity_binary64_7239`
21×	`add-cube-cbrt_binary64_7274`
12×	`log-prod_binary64_7325`
10×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275`
9×	`pow1_binary64_7300` `times-frac_binary64_7245`
8×	`associate-l_binary64_7180`
7×	`associate-r_binary64_7179`
6×	`add-log-exp_binary64_7278` `distribute-rgt-in_binary64_7189` `distribute-lft-in_binary64_7188` `associate--l+_binary64_7176`
4×	`associate-*l/_binary64_7182`
3×	`associate-/l_binary64_7184` `associate-/r_binary64_7183` `flip3--_binary64_7243` `flip--_binary64_7214` `cancel-sign-sub-inv_binary64_7205`
2×	`associate-/l/_binary64_7186` `pow-prod-down_binary64_7310` `prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `unswap-sqr_binary64_7207` `*-commutative_binary64_7170`
1×	`div-exp_binary64_7290` `cbrt-undiv_binary64_7273` `frac-2neg_binary64_7250` `clear-num_binary64_7238` `div-inv_binary64_7236` `flip3-+_binary64_7242` `flip-+_binary64_7213` `difference-of-squares_binary64_7208` `distribute-lft-out--_binary64_7191` `log-pow_binary64_7328` `diff-log_binary64_7331` `sub-neg_binary64_7232`

Counts

4 → 98

Calls

4 calls:

12.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)
10.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z)
8.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
8.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))

Compiler

Compiled 3345 to 2251 computations (32.7% saved)

series1.1s (5.1%)

Error

2.8b

Counts

4 → 40

Calls

4 calls:

570.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)
201.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
189.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z)
118.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))

Compiler

Compiled 2878 to 2224 computations (22.7% saved)

simplify347.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

686×	`distribute-rgt-in_binary64_7189`
659×	`distribute-lft-in_binary64_7188`
273×	`times-frac_binary64_7245`
130×	`associate-l_binary64_7180`
116×	`cancel-sign-sub-inv_binary64_7205`
110×	`sub-neg_binary64_7232`
109×	`associate-r_binary64_7179`
99×	`distribute-lft-neg-out_binary64_7198`
82×	`*-commutative_binary64_7170`
75×	`distribute-rgt-neg-out_binary64_7199`
60×	`+-commutative_binary64_7169`
55×	`distribute-rgt-neg-in_binary64_7197`
51×	`neg-sub0_binary64_7234`
48×	`exp-prod_binary64_7291` `neg-mul-1_binary64_7235` `sqr-pow_binary64_7211`
40×	`distribute-lft-neg-in_binary64_7196`
38×	`distribute-neg-in_binary64_7200`
35×	`unswap-sqr_binary64_7207`
33×	`associate-/l*_binary64_7184`
32×	`exp-sum_binary64_7285`
29×	`distribute-rgt-out_binary64_7192`
27×	`*-rgt-identity_binary64_7229`
26×	`log-prod_binary64_7325`
23×	`unsub-neg_binary64_7233` `*-lft-identity_binary64_7228`
21×	`cube-prod_binary64_7267` `associate-/l/_binary64_7186`
20×	`distribute-lft-out_binary64_7190`
19×	`swap-sqr_binary64_7206` `associate-*l/_binary64_7182`
18×	`div-sub_binary64_7244` `pow-sqr_binary64_7212` `distribute-neg-out_binary64_7201` `associate--l+_binary64_7176`
15×	`exp-diff_binary64_7287` `distribute-rgt-out--_binary64_7193`
14×	`associate-+l+_binary64_7172`
13×	`associate-/r/_binary64_7185` `associate-*r/_binary64_7181`
11×	`distribute-neg-frac_binary64_7203`
10×	`log-div_binary64_7326` `unpow3_binary64_7305`
9×	`difference-of-squares_binary64_7208` `associate-/r*_binary64_7183` `associate--r+_binary64_7175`
8×	`associate-+r-_binary64_7173`
7×	`associate-+r+_binary64_7171`
6×	`exp-to-pow_binary64_7301` `cube-unmult_binary64_7276` `cube-mult_binary64_7269` `mul-1-neg_binary64_7231` `associate-+l-_binary64_7174`
5×	`/-rgt-identity_binary64_7230`
4×	`cube-div_binary64_7268` `+-rgt-identity_binary64_7224` `distribute-lft-out--_binary64_7191`
3×	`pow-plus_binary64_7302` `mul0-rgt_binary64_7222` `cancel-sign-sub_binary64_7204`
2×	`log-rec_binary64_7327` `div-exp_binary64_7290` `remove-double-neg_binary64_7227` `mul0-lft_binary64_7221` `distribute-frac-neg_binary64_7202` `distribute-rgt1-in_binary64_7195`
1×	`unpow2_binary64_7304` `unpow1_binary64_7297` `exp-sqrt_binary64_7292` `rec-exp_binary64_7289` `exp-neg_binary64_7286` `1-exp_binary64_7283` `exp-1-e_binary64_7282` `rem-log-exp_binary64_7280` `rem-exp-log_binary64_7279` `cube-neg_binary64_7266` `rem-3cbrt-lft_binary64_7264` `sqr-neg_binary64_7253` `rem-sqrt-square_binary64_7252` `rem-square-sqrt_binary64_7251` `sub0-neg_binary64_7226` `*-inverses_binary64_7219` `+-inverses_binary64_7218` `count-2_binary64_7187` `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` `unpow1/2_binary64_7303` `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` `prod-exp_binary64_7288` `e-exp-1_binary64_7284` `exp-0_binary64_7281` `rem-3cbrt-rft_binary64_7265` `rem-cbrt-cube_binary64_7263` `rem-cube-cbrt_binary64_7262` `sqr-abs_binary64_7254` `--rgt-identity_binary64_7225` `+-lft-identity_binary64_7223` `div0_binary64_7220` `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-lft1-in_binary64_7194`

Counts

138 → 233

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	245	2802
1	582	2559
2	1679	2442

prune530.0ms (2.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	223	10	233
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	224	11	235

Error

0.0b

Counts

235 → 11

Compiler

Compiled 8084 to 5249 computations (35.1% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
0.2b	(/.f64 z (/.f64 x 3202559735019045/1152921504606846976))
6.6b	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7320129949063637/9223372036854775808 y))

rewrite513.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

144×	`times-frac_binary64_7245`
102×	`add-sqr-sqrt_binary64_7261`
93×	`*-un-lft-identity_binary64_7239`
89×	`add-cube-cbrt_binary64_7274`
49×	`associate-l_binary64_7180`
20×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275`
13×	`associate-/r*_binary64_7183`
12×	`log-prod_binary64_7325`
9×	`pow1_binary64_7300` `div-inv_binary64_7236`
8×	`associate-r_binary64_7179`
7×	`distribute-rgt-in_binary64_7189` `distribute-lft-in_binary64_7188`
6×	`div-exp_binary64_7290` `add-log-exp_binary64_7278` `cbrt-undiv_binary64_7273` `associate--l+_binary64_7176`
4×	`prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `unswap-sqr_binary64_7207`
3×	`associate-l/_binary64_7182` `associate-/l_binary64_7184` `cancel-sign-sub-inv_binary64_7205`
2×	`pow-prod-down_binary64_7310` `flip3-+_binary64_7242` `frac-times_binary64_7249` `flip-+_binary64_7213` `associate-r/_binary64_7181` `associate-/r/_binary64_7185` `-commutative_binary64_7170` `flip3--_binary64_7243` `flip--_binary64_7214`
1×	`distribute-lft-out_binary64_7190` `frac-2neg_binary64_7250` `clear-num_binary64_7238` `difference-of-squares_binary64_7208` `distribute-lft-out--_binary64_7191` `log-pow_binary64_7328` `diff-log_binary64_7331` `sub-neg_binary64_7232`

Counts

4 → 192

Calls

4 calls:

17.0ms	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7320129949063637/9223372036854775808 y))
8.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
7.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
6.0ms	(/.f64 z (/.f64 x 3202559735019045/1152921504606846976))

Compiler

Compiled 7575 to 4247 computations (43.9% saved)

series742.0ms (3.3%)

Error

0.0b

Counts

4 → 28

Calls

4 calls:

276.0ms	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7320129949063637/9223372036854775808 y))
185.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
125.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
105.0ms	(/.f64 z (/.f64 x 3202559735019045/1152921504606846976))

Compiler

Compiled 2482 to 1804 computations (27.3% saved)

simplify811.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

295×	`associate-*l/_binary64_7182`
290×	`*-commutative_binary64_7170`
284×	`associate-l_binary64_7180`
283×	`associate-r_binary64_7179`
247×	`associate-/l*_binary64_7184`
230×	`associate-/r/_binary64_7185`
205×	`associate-*r/_binary64_7181`
162×	`distribute-rgt-in_binary64_7189`
158×	`distribute-lft-in_binary64_7188`
153×	`associate-/l/_binary64_7186`
150×	`+-commutative_binary64_7169`
99×	`log-prod_binary64_7325`
92×	`sub-neg_binary64_7232`
86×	`distribute-lft-neg-out_binary64_7198`
80×	`times-frac_binary64_7245` `distribute-rgt-out_binary64_7192`
74×	`exp-prod_binary64_7291`
68×	`log-div_binary64_7326`
67×	`associate-+l+_binary64_7172`
63×	`distribute-rgt-neg-out_binary64_7199`
58×	`associate-/r*_binary64_7183`
55×	`associate-+l-_binary64_7174`
54×	`*-rgt-identity_binary64_7229`
51×	`sqr-pow_binary64_7211`
49×	`associate-+r+_binary64_7171`
42×	`neg-sub0_binary64_7234` `unswap-sqr_binary64_7207`
41×	`neg-mul-1_binary64_7235` `associate-+r-_binary64_7173`
39×	`cancel-sign-sub-inv_binary64_7205` `associate--l-_binary64_7177`
37×	`/-rgt-identity_binary64_7230`
32×	`*-lft-identity_binary64_7228`
30×	`swap-sqr_binary64_7206`
28×	`distribute-rgt-neg-in_binary64_7197`
27×	`cube-prod_binary64_7267`
26×	`exp-sum_binary64_7285`
22×	`distribute-neg-in_binary64_7200`
21×	`cube-div_binary64_7268`
20×	`distribute-lft-neg-in_binary64_7196` `associate--r+_binary64_7175`
19×	`unsub-neg_binary64_7233` `pow-sqr_binary64_7212` `distribute-neg-out_binary64_7201`
15×	`div-sub_binary64_7244` `associate--l+_binary64_7176`
12×	`exp-diff_binary64_7287`
11×	`cube-unmult_binary64_7276`
10×	`distribute-lft-out_binary64_7190`
8×	`log-pow_binary64_7328` `log-rec_binary64_7327` `distribute-neg-frac_binary64_7203`
7×	`unpow3_binary64_7305` `difference-of-squares_binary64_7208` `distribute-rgt-out--_binary64_7193`
6×	`exp-to-pow_binary64_7301` `associate--r-_binary64_7178`
5×	`cube-mult_binary64_7269` `cancel-sign-sub_binary64_7204`
4×	`pow-plus_binary64_7302` `+-rgt-identity_binary64_7224`
3×	`mul-1-neg_binary64_7231` `remove-double-neg_binary64_7227` `remove-double-div_binary64_7215` `count-2_binary64_7187`
2×	`div-exp_binary64_7290` `rem-square-sqrt_binary64_7251` `mul0-rgt_binary64_7222` `mul0-lft_binary64_7221` `distribute-frac-neg_binary64_7202` `distribute-rgt1-in_binary64_7195`
1×	`unpow2_binary64_7304` `unpow1_binary64_7297` `exp-sqrt_binary64_7292` `rec-exp_binary64_7289` `prod-exp_binary64_7288` `exp-neg_binary64_7286` `1-exp_binary64_7283` `exp-1-e_binary64_7282` `rem-log-exp_binary64_7280` `rem-exp-log_binary64_7279` `cube-neg_binary64_7266` `rem-3cbrt-lft_binary64_7264` `sqr-neg_binary64_7253` `rem-sqrt-square_binary64_7252` `sub0-neg_binary64_7226` `div0_binary64_7220` `*-inverses_binary64_7219` `+-inverses_binary64_7218`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_7502` `erf-erfc_binary64_7501` `erf-odd_binary64_7500` `if-if-and-not_binary64_7499` `if-if-and_binary64_7498` `if-if-or-not_binary64_7497` `if-if-or_binary64_7496` `if-not_binary64_7495` `if-same_binary64_7494` `if-false_binary64_7493` `if-true_binary64_7492` `not-gte_binary64_7491` `not-lte_binary64_7490` `not-gt_binary64_7489` `not-lt_binary64_7488` `gte-same_binary64_7487` `lte-same_binary64_7486` `gt-same_binary64_7485` `lt-same_binary64_7484` `sinh---cosh_binary64_7431` `sinh-+-cosh_binary64_7430` `sinh-cosh_binary64_7429` `tanh-def-c_binary64_7428` `tanh-def-b_binary64_7427` `tanh-def-a_binary64_7426` `cosh-def_binary64_7425` `sinh-def_binary64_7424` `tan-neg_binary64_7371` `cos-neg_binary64_7370` `sin-neg_binary64_7369` `tan-0_binary64_7368` `cos-0_binary64_7367` `sin-0_binary64_7366` `hang-m-tan_binary64_7365` `hang-p-tan_binary64_7364` `hang-m0-tan_binary64_7363` `hang-p0-tan_binary64_7362` `hang-0m-tan_binary64_7361` `hang-0p-tan_binary64_7360` `tan-+PI/2_binary64_7359` `tan-+PI_binary64_7358` `tan-PI_binary64_7357` `tan-PI/3_binary64_7356` `tan-PI/4_binary64_7355` `tan-PI/6_binary64_7354` `cos-+PI/2_binary64_7353` `cos-+PI_binary64_7352` `cos-PI_binary64_7351` `cos-PI/2_binary64_7350` `cos-PI/3_binary64_7349` `cos-PI/4_binary64_7348` `cos-PI/6_binary64_7347` `sin-+PI/2_binary64_7346` `sin-+PI_binary64_7345` `sin-PI_binary64_7344` `sin-PI/2_binary64_7343` `sin-PI/3_binary64_7342` `sin-PI/4_binary64_7341` `sin-PI/6_binary64_7340` `sub-1-sin_binary64_7339` `sub-1-cos_binary64_7338` `-1-add-sin_binary64_7337` `-1-add-cos_binary64_7336` `1-sub-sin_binary64_7335` `1-sub-cos_binary64_7334` `cos-sin-sum_binary64_7333` `log-E_binary64_7329` `pow-base-0_binary64_7323` `unpow1/3_binary64_7306` `unpow1/2_binary64_7303` `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` `e-exp-1_binary64_7284` `exp-0_binary64_7281` `rem-3cbrt-rft_binary64_7265` `rem-cbrt-cube_binary64_7263` `rem-cube-cbrt_binary64_7262` `sqr-abs_binary64_7254` `--rgt-identity_binary64_7225` `+-lft-identity_binary64_7223` `lft-mult-inverse_binary64_7217` `rgt-mult-inverse_binary64_7216` `difference-of-sqr--1_binary64_7210` `difference-of-sqr-1_binary64_7209` `distribute-lft1-in_binary64_7194` `distribute-lft-out--_binary64_7191`

Counts

220 → 584

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	423	3642
1	1217	3406
2	3780	3329
3	4962	3329

prune2.1s (9.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	579	5	584
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	585	10	595

Error

Counts

595 → 10

Compiler

Compiled 23556 to 12905 computations (45.2% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
0.2b	(/.f64 z (/.f64 x 3202559735019045/1152921504606846976))
6.6b	(.f64 (+.f64 y 7320129949063637/9223372036854775808) (.f64 z (/.f64 z x)))

rewrite360.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

75×	`times-frac_binary64_7245`
58×	`add-sqr-sqrt_binary64_7261` `*-un-lft-identity_binary64_7239`
54×	`add-cube-cbrt_binary64_7274`
20×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275`
13×	`associate-/r*_binary64_7183`
12×	`pow1_binary64_7300` `log-prod_binary64_7325`
9×	`associate-l_binary64_7180`
6×	`prod-exp_binary64_7288` `add-log-exp_binary64_7278` `cbrt-unprod_binary64_7272` `distribute-rgt-in_binary64_7189` `distribute-lft-in_binary64_7188` `associate--l+_binary64_7176`
5×	`associate-r_binary64_7179` `div-inv_binary64_7236`
4×	`pow-prod-down_binary64_7310` `div-exp_binary64_7290` `cbrt-undiv_binary64_7273` `associate-r/_binary64_7181` `associate-l/_binary64_7182`
3×	`associate-/l*_binary64_7184` `cancel-sign-sub-inv_binary64_7205`
2×	`flip3-+_binary64_7242` `frac-times_binary64_7249` `flip-+_binary64_7213` `*-commutative_binary64_7170` `flip3--_binary64_7243` `flip--_binary64_7214`
1×	`distribute-lft-out_binary64_7190` `frac-2neg_binary64_7250` `clear-num_binary64_7238` `associate-/r/_binary64_7185` `unswap-sqr_binary64_7207` `difference-of-squares_binary64_7208` `distribute-lft-out--_binary64_7191` `log-pow_binary64_7328` `diff-log_binary64_7331` `sub-neg_binary64_7232`

Counts

4 → 145

Calls

4 calls:

10.0ms	(.f64 (+.f64 y 7320129949063637/9223372036854775808) (.f64 z (/.f64 z x)))
8.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
8.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
6.0ms	(/.f64 z (/.f64 x 3202559735019045/1152921504606846976))

Compiler

Compiled 5614 to 3241 computations (42.3% saved)

series737.0ms (3.3%)

Error

Counts

4 → 28

Calls

4 calls:

274.0ms	(.f64 (+.f64 y 7320129949063637/9223372036854775808) (.f64 z (/.f64 z x)))
200.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
118.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
98.0ms	(/.f64 z (/.f64 x 3202559735019045/1152921504606846976))

Compiler

Compiled 2482 to 1791 computations (27.8% saved)

simplify351.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

604×	`associate-/r/_binary64_7185`
485×	`distribute-rgt-in_binary64_7189`
467×	`distribute-lft-in_binary64_7188`
179×	`associate-l_binary64_7180`
173×	`associate-r_binary64_7179`
147×	`*-commutative_binary64_7170`
146×	`associate-/l*_binary64_7184`
118×	`associate-/l/_binary64_7186`
110×	`associate-*l/_binary64_7182`
89×	`sub-neg_binary64_7232`
85×	`associate-*r/_binary64_7181`
84×	`distribute-lft-neg-out_binary64_7198`
61×	`distribute-rgt-neg-out_binary64_7199`
59×	`times-frac_binary64_7245`
54×	`exp-prod_binary64_7291`
49×	`sqr-pow_binary64_7211`
48×	`unswap-sqr_binary64_7207`
43×	`log-prod_binary64_7325` `+-commutative_binary64_7169`
41×	`*-rgt-identity_binary64_7229`
39×	`log-div_binary64_7326` `associate-/r*_binary64_7183`
38×	`cancel-sign-sub-inv_binary64_7205`
37×	`neg-sub0_binary64_7234`
36×	`neg-mul-1_binary64_7235`
31×	`/-rgt-identity_binary64_7230`
29×	`swap-sqr_binary64_7206`
28×	`exp-sum_binary64_7285` `distribute-rgt-neg-in_binary64_7197`
23×	`*-lft-identity_binary64_7228`
22×	`cube-prod_binary64_7267`
20×	`pow-sqr_binary64_7212` `distribute-rgt-out_binary64_7192`
19×	`distribute-neg-out_binary64_7201` `distribute-lft-neg-in_binary64_7196`
18×	`unsub-neg_binary64_7233` `distribute-neg-in_binary64_7200`
15×	`cube-div_binary64_7268`
12×	`exp-diff_binary64_7287` `cube-unmult_binary64_7276`
11×	`div-sub_binary64_7244`
10×	`distribute-lft-out_binary64_7190` `associate-+r-_binary64_7173`
9×	`associate-+l+_binary64_7172`
8×	`distribute-neg-frac_binary64_7203` `associate-+l-_binary64_7174`
7×	`unpow3_binary64_7305` `difference-of-squares_binary64_7208` `distribute-rgt-out--_binary64_7193`
6×	`pow-plus_binary64_7302` `exp-to-pow_binary64_7301` `associate-+r+_binary64_7171`
5×	`log-rec_binary64_7327` `cube-mult_binary64_7269`
4×	`+-rgt-identity_binary64_7224` `cancel-sign-sub_binary64_7204` `count-2_binary64_7187` `associate--r+_binary64_7175`
3×	`log-pow_binary64_7328` `mul-1-neg_binary64_7231` `mul0-rgt_binary64_7222` `remove-double-div_binary64_7215`
2×	`div-exp_binary64_7290` `remove-double-neg_binary64_7227` `mul0-lft_binary64_7221` `distribute-frac-neg_binary64_7202` `distribute-rgt1-in_binary64_7195` `associate--r-_binary64_7178` `associate--l+_binary64_7176`
1×	`unpow2_binary64_7304` `unpow1_binary64_7297` `exp-sqrt_binary64_7292` `rec-exp_binary64_7289` `prod-exp_binary64_7288` `exp-neg_binary64_7286` `1-exp_binary64_7283` `exp-1-e_binary64_7282` `rem-log-exp_binary64_7280` `rem-exp-log_binary64_7279` `cube-neg_binary64_7266` `rem-3cbrt-lft_binary64_7264` `sqr-neg_binary64_7253` `rem-sqrt-square_binary64_7252` `rem-square-sqrt_binary64_7251` `sub0-neg_binary64_7226` `div0_binary64_7220` `*-inverses_binary64_7219` `+-inverses_binary64_7218` `associate--l-_binary64_7177`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_7502` `erf-erfc_binary64_7501` `erf-odd_binary64_7500` `if-if-and-not_binary64_7499` `if-if-and_binary64_7498` `if-if-or-not_binary64_7497` `if-if-or_binary64_7496` `if-not_binary64_7495` `if-same_binary64_7494` `if-false_binary64_7493` `if-true_binary64_7492` `not-gte_binary64_7491` `not-lte_binary64_7490` `not-gt_binary64_7489` `not-lt_binary64_7488` `gte-same_binary64_7487` `lte-same_binary64_7486` `gt-same_binary64_7485` `lt-same_binary64_7484` `sinh---cosh_binary64_7431` `sinh-+-cosh_binary64_7430` `sinh-cosh_binary64_7429` `tanh-def-c_binary64_7428` `tanh-def-b_binary64_7427` `tanh-def-a_binary64_7426` `cosh-def_binary64_7425` `sinh-def_binary64_7424` `tan-neg_binary64_7371` `cos-neg_binary64_7370` `sin-neg_binary64_7369` `tan-0_binary64_7368` `cos-0_binary64_7367` `sin-0_binary64_7366` `hang-m-tan_binary64_7365` `hang-p-tan_binary64_7364` `hang-m0-tan_binary64_7363` `hang-p0-tan_binary64_7362` `hang-0m-tan_binary64_7361` `hang-0p-tan_binary64_7360` `tan-+PI/2_binary64_7359` `tan-+PI_binary64_7358` `tan-PI_binary64_7357` `tan-PI/3_binary64_7356` `tan-PI/4_binary64_7355` `tan-PI/6_binary64_7354` `cos-+PI/2_binary64_7353` `cos-+PI_binary64_7352` `cos-PI_binary64_7351` `cos-PI/2_binary64_7350` `cos-PI/3_binary64_7349` `cos-PI/4_binary64_7348` `cos-PI/6_binary64_7347` `sin-+PI/2_binary64_7346` `sin-+PI_binary64_7345` `sin-PI_binary64_7344` `sin-PI/2_binary64_7343` `sin-PI/3_binary64_7342` `sin-PI/4_binary64_7341` `sin-PI/6_binary64_7340` `sub-1-sin_binary64_7339` `sub-1-cos_binary64_7338` `-1-add-sin_binary64_7337` `-1-add-cos_binary64_7336` `1-sub-sin_binary64_7335` `1-sub-cos_binary64_7334` `cos-sin-sum_binary64_7333` `log-E_binary64_7329` `pow-base-0_binary64_7323` `unpow1/3_binary64_7306` `unpow1/2_binary64_7303` `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` `e-exp-1_binary64_7284` `exp-0_binary64_7281` `rem-3cbrt-rft_binary64_7265` `rem-cbrt-cube_binary64_7263` `rem-cube-cbrt_binary64_7262` `sqr-abs_binary64_7254` `--rgt-identity_binary64_7225` `+-lft-identity_binary64_7223` `lft-mult-inverse_binary64_7217` `rgt-mult-inverse_binary64_7216` `difference-of-sqr--1_binary64_7210` `difference-of-sqr-1_binary64_7209` `distribute-lft1-in_binary64_7194` `distribute-lft-out--_binary64_7191`

Counts

173 → 453

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	326	2934
1	755	2586
2	2526	2553

prune1.6s (6.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	453	0	453
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	453	10	463

Error

Counts

463 → 10

Compiler

Compiled 18503 to 10134 computations (45.2% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.6b	(.f64 (+.f64 y 7320129949063637/9223372036854775808) (.f64 (/.f64 z x) z))
17.1b	(cbrt.f64 (*.f64 (/.f64 z (/.f64 x z)) (+.f64 7320129949063637/9223372036854775808 y)))
17.1b	(cbrt.f64 (*.f64 (/.f64 z (/.f64 x z)) (+.f64 7320129949063637/9223372036854775808 y)))
17.1b	(cbrt.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) (.f64 (/.f64 z x) z)))

rewrite253.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`cbrt-div_binary64_7271`
13×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275`
12×	`associate-*l/_binary64_7182`
9×	`pow1_binary64_7300`
8×	`flip3-+_binary64_7242` `frac-times_binary64_7249` `flip-+_binary64_7213`
7×	`*-un-lft-identity_binary64_7239`
6×	`associate-*r/_binary64_7181`
5×	`add-cube-cbrt_binary64_7274` `add-sqr-sqrt_binary64_7261` `prod-exp_binary64_7288` `cbrt-unprod_binary64_7272`
4×	`add-log-exp_binary64_7278` `associate-l_binary64_7180`
3×	`pow1/3_binary64_7321` `cbrt-prod_binary64_7270` `pow-prod-down_binary64_7310`
1×	`div-exp_binary64_7290` `cbrt-undiv_binary64_7273` `distribute-lft-out_binary64_7190` `associate-r_binary64_7179` `*-commutative_binary64_7170`

Counts

4 → 68

Calls

4 calls:

13.0ms	(cbrt.f64 (*.f64 (/.f64 z (/.f64 x z)) (+.f64 7320129949063637/9223372036854775808 y)))
10.0ms	(.f64 (+.f64 y 7320129949063637/9223372036854775808) (.f64 (/.f64 z x) z))
10.0ms	(cbrt.f64 (*.f64 (/.f64 z (/.f64 x z)) (+.f64 7320129949063637/9223372036854775808 y)))
8.0ms	(cbrt.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) (.f64 (/.f64 z x) z)))

Compiler

Compiled 4188 to 2298 computations (45.1% saved)

series2.3s (10.1%)

Error

Counts

4 → 48

Calls

4 calls:

618.0ms	(cbrt.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) (.f64 (/.f64 z x) z)))
617.0ms	(cbrt.f64 (*.f64 (/.f64 z (/.f64 x z)) (+.f64 7320129949063637/9223372036854775808 y)))
610.0ms	(cbrt.f64 (*.f64 (/.f64 z (/.f64 x z)) (+.f64 7320129949063637/9223372036854775808 y)))
290.0ms	(.f64 (+.f64 y 7320129949063637/9223372036854775808) (.f64 (/.f64 z x) z))

Compiler

Compiled 8016 to 5593 computations (30.2% saved)

simplify602.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

473×	`associate-*l/_binary64_7182`
424×	`associate-*r/_binary64_7181`
323×	`distribute-rgt-in_binary64_7189`
312×	`distribute-lft-in_binary64_7188`
310×	`*-commutative_binary64_7170`
292×	`exp-sum_binary64_7285`
174×	`associate-/l*_binary64_7184`
151×	`exp-prod_binary64_7291`
150×	`associate-r_binary64_7179`
143×	`associate-l_binary64_7180`
115×	`exp-diff_binary64_7287`
73×	`cancel-sign-sub-inv_binary64_7205`
69×	`sub-neg_binary64_7232`
66×	`associate-+l+_binary64_7172`
64×	`+-commutative_binary64_7169`
62×	`associate-+r+_binary64_7171`
60×	`log-prod_binary64_7325`
54×	`associate-/r/_binary64_7185`
51×	`log-div_binary64_7326` `sqr-pow_binary64_7211`
49×	`associate-+r-_binary64_7173`
48×	`times-frac_binary64_7245`
35×	`associate--l+_binary64_7176` `associate-+l-_binary64_7174`
33×	`distribute-rgt-neg-in_binary64_7197` `associate-/r*_binary64_7183`
32×	`associate-/l/_binary64_7186`
31×	`unswap-sqr_binary64_7207`
26×	`neg-mul-1_binary64_7235` `distribute-lft-neg-out_binary64_7198` `distribute-lft-neg-in_binary64_7196`
25×	`neg-sub0_binary64_7234`
24×	`exp-to-pow_binary64_7301`
22×	`div-sub_binary64_7244`
20×	`pow-sqr_binary64_7212`
18×	`distribute-rgt-neg-out_binary64_7199`
17×	`unpow1/3_binary64_7306` `pow-plus_binary64_7302`
15×	`associate--l-_binary64_7177`
14×	`associate--r-_binary64_7178`
13×	`swap-sqr_binary64_7206`
12×	`log-pow_binary64_7328` `unsub-neg_binary64_7233` `associate--r+_binary64_7175`
10×	`exp-neg_binary64_7286`
9×	`unpow3_binary64_7305` `cube-unmult_binary64_7276` `distribute-rgt-out--_binary64_7193`
7×	`exp-lft-sqr_binary64_7294` `cube-div_binary64_7268` `distribute-rgt-out_binary64_7192`
6×	`distribute-neg-in_binary64_7200`
4×	`log-rec_binary64_7327` `prod-exp_binary64_7288` `cube-prod_binary64_7267` `difference-of-squares_binary64_7208` `distribute-lft-out_binary64_7190`
3×	`distribute-rgt1-in_binary64_7195`
2×	`unpow2_binary64_7304` `unpow1_binary64_7297` `cube-mult_binary64_7269` `rem-3cbrt-lft_binary64_7264` `mul-1-neg_binary64_7231` `remove-double-neg_binary64_7227` `+-rgt-identity_binary64_7224` `cancel-sign-sub_binary64_7204` `distribute-neg-frac_binary64_7203` `distribute-lft-out--_binary64_7191`
1×	`exp-sqrt_binary64_7292` `1-exp_binary64_7283` `rem-log-exp_binary64_7280` `rem-exp-log_binary64_7279` `-rgt-identity_binary64_7229` `sub0-neg_binary64_7226` `--rgt-identity_binary64_7225` `-inverses_binary64_7219`
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-base-1_binary64_7299` `unpow0_binary64_7298` `unpow-1_binary64_7296` `exp-lft-cube_binary64_7295` `exp-cbrt_binary64_7293` `div-exp_binary64_7290` `rec-exp_binary64_7289` `e-exp-1_binary64_7284` `exp-1-e_binary64_7282` `exp-0_binary64_7281` `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` `rem-sqrt-square_binary64_7252` `rem-square-sqrt_binary64_7251` `/-rgt-identity_binary64_7230` `*-lft-identity_binary64_7228` `+-lft-identity_binary64_7223` `mul0-rgt_binary64_7222` `mul0-lft_binary64_7221` `div0_binary64_7220` `+-inverses_binary64_7218` `lft-mult-inverse_binary64_7217` `rgt-mult-inverse_binary64_7216` `remove-double-div_binary64_7215` `difference-of-sqr--1_binary64_7210` `difference-of-sqr-1_binary64_7209` `distribute-frac-neg_binary64_7202` `distribute-neg-out_binary64_7201` `distribute-lft1-in_binary64_7194` `count-2_binary64_7187`

Counts

116 → 407

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	201	2782
1	486	2498
2	1533	2265
3	4497	2247

prune2.3s (10.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	407	0	407
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	407	10	417

Error

Counts

417 → 10

Compiler

Compiled 25731 to 14269 computations (44.5% saved)

regimes2.5s (11.2%)

Accuracy

Total 1.3b remaining (99.3%)

Threshold costs 0b (0%)

Compiler

Compiled 32600 to 25403 computations (22.1% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64_7169`
7×	`sub-neg_binary64_7232` `*-commutative_binary64_7170`
4×	`neg-mul-1_binary64_7235` `neg-sub0_binary64_7234`
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` `distribute-rgt-neg-in_binary64_7197` `distribute-lft-neg-in_binary64_7196`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	45
1	37	45
2	50	45
3	58	45
4	63	45
5	64	45

Proof

(+ f64 (+ f64 (- f64 (* f64 (- f64 h0 1/2) (log f64 h0)) h0) 2069265617858471/2251799813685248) (- f64 (+ f64 (/ f64 6004799503160637/72057594037927936 h0) (* f64 (/ f64 h1 h0) (* f64 h1 (+ f64 h2 7320129949063637/9223372036854775808)))) (/ f64 h1 (/ f64 h0 3202559735019045/1152921504606846976))))

end0.0ms (0%)

sample4.1s (18%)

Algorithm

1×

intervals

Results

559.0ms	8000×	body	128	valid
94.0ms	1228×	body	128	invalid
51.0ms	723×	body	128	nan

Compiler

Compiled 4142 to 3224 computations (22.2% saved)

Details

analyze471.0ms (2.1%)

sample39.0ms (0.2%)

simplify433.0ms (1.9%)

prune14.0ms (0.1%)

localize18.0ms (0.1%)

rewrite271.0ms (1.2%)

series1.1s (5.1%)

simplify347.0ms (1.5%)

prune530.0ms (2.3%)

localize22.0ms (0.1%)

rewrite513.0ms (2.3%)

series742.0ms (3.3%)

simplify811.0ms (3.6%)

prune2.1s (9.2%)

localize22.0ms (0.1%)

rewrite360.0ms (1.6%)

series737.0ms (3.3%)

simplify351.0ms (1.6%)

prune1.6s (6.9%)

localize33.0ms (0.1%)

rewrite253.0ms (1.1%)

series2.3s (10.1%)

simplify602.0ms (2.7%)

prune2.3s (10.4%)

regimes2.5s (11.2%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample4.1s (18%)

Profiling