Date:Wednesday, April 28th, 2021
Commit:07b57d27 on master
Hostname:warfa with Racket 7.9
Seed:2021118
Parameters:256 points for 4 iterations
Flags:
setup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:fallback
default

Details

Time bar (total: 2.8min)

sample1.2min (43.2%)

Algorithm
56×intervals
Results
24.7s36738×body2048valid
18.6s66067×body1024valid
5.4s34872×body512valid
3.3s74390×body128valid
1.7s16996×body256valid
1.1s1472×body1024nan
879.0ms2105×body4096valid
720.0ms43107×pre128true
551.0ms3081×body128overflowed
369.0ms809×body512nan
214.0ms649×body1024overflowed
203.0ms3865×body128nan
187.0ms211×body1024invalid
183.0ms366×body2048overflowed
132.0ms264×body512invalid
107.0ms1681×body128invalid
85.0ms364×body256nan
72.0ms311×body512overflowed
49.0ms166×body256invalid
21.0ms148×body256overflowed
6.0msbody2048nan
5.0msbody2048invalid
1.0msbody4096invalid
Compiler

Compiled 7027 to 5299 computations (24.6% saved)

regimes24.3s (14.4%)

Compiler

Compiled 316144 to 220530 computations (30.2% saved)

rewrite18.2s (10.8%)

Algorithm
104×rewrite-expression-head
Rules
7013×times-frac_binary64
6926×*-un-lft-identity_binary64
4830×add-sqr-sqrt_binary64
3413×add-cube-cbrt_binary64
1520×distribute-lft-out_binary64
1365×sqrt-prod_binary64
1067×add-exp-log_binary64
942×add-log-exp_binary64
822×add-cbrt-cube_binary64
578×div-inv_binary64
569×pow1_binary64
507×difference-of-squares_binary64
437×cbrt-prod_binary64
416×distribute-lft-out--_binary64
407×associate-/r*_binary64
405×unpow-prod-down_binary64
390×associate-/l*_binary64
364×cancel-sign-sub-inv_binary64
363×associate-*r*_binary64
299×flip3-+_binary64 flip-+_binary64
274×sum-log_binary64
268×div-exp_binary64
247×associate-*l*_binary64
226×associate-/r/_binary64
204×prod-exp_binary64
165×cbrt-undiv_binary64
159×flip--_binary64 flip3--_binary64
156×log-prod_binary64
148×frac-add_binary64
147×diff-log_binary64
139×cube-prod_binary64
134×associate-*r/_binary64
129×cbrt-unprod_binary64
126×unswap-sqr_binary64
97×sqr-pow_binary64
88×sub-neg_binary64
73×frac-sub_binary64
72×frac-2neg_binary64 clear-num_binary64
68×distribute-rgt-out_binary64 distribute-rgt1-in_binary64
67×associate-/l/_binary64
66×sqrt-div_binary64
64×pow-prod-down_binary64
62×frac-times_binary64
60×associate-*l/_binary64
58×cbrt-div_binary64
53×distribute-rgt-in_binary64 distribute-lft-in_binary64
52×*-commutative_binary64
51×pow-unpow_binary64
49×pow-exp_binary64
45×1-exp_binary64
41×sqrt-pow1_binary64 pow1/3_binary64 +-commutative_binary64 pow1/2_binary64 log-pow_binary64
39×pow-to-exp_binary64
38×pow-pow_binary64 rec-exp_binary64
37×associate-+l+_binary64
33×associate--l+_binary64
30×tan-quot_binary64 cube-div_binary64 unpow3_binary64 pow-flip_binary64
29×div-sub_binary64 distribute-rgt-neg-in_binary64
26×associate--r+_binary64 cube-mult_binary64
25×associate-+r-_binary64 rem-sqrt-square_binary64 log-div_binary64
24×difference-of-sqr-1_binary64
23×unpow2_binary64
21×distribute-lft-neg-in_binary64 neg-mul-1_binary64
18×associate-+r+_binary64
17×inv-pow_binary64
14×associate--l-_binary64 swap-sqr_binary64
11×rem-cube-cbrt_binary64
10×sin-cos-mult_binary64 rem-log-exp_binary64
associate-+l-_binary64 sin-mult_binary64
exp-prod_binary64 pow-prod-up_binary64 difference-of-sqr--1_binary64 rem-cbrt-cube_binary64
neg-sub0_binary64
distribute-rgt-out--_binary64 pow-sqr_binary64
distribute-frac-neg_binary64 sqr-sin-a_binary64 sqrt-pow2_binary64
pow-div_binary64 exp-diff_binary64 sin-sum_binary64 quot-tan_binary64 cos-sum_binary64 exp-neg_binary64 pow-plus_binary64 tan-sum_binary64 pow2_binary64
sqr-abs_binary64 sqrt-unprod_binary64 rem-square-sqrt_binary64 pow3_binary64 diff-cos_binary64 diff-atan_binary64 rem-3cbrt-lft_binary64 diff-sin_binary64 neg-log_binary64
Counts
329 → 10305
Calls

243 calls:

162.0ms
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
67.0ms
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
52.0ms
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))
51.0ms
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
50.0ms
(/.f64 (/.f64 1 (+.f64 x (*.f64 x x))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
Compiler

Compiled 319643 to 191190 computations (40.2% saved)

simplify17.4s (10.3%)

Algorithm
160×egg-herbie
Rules
28537×times-frac_binary64
27491×distribute-rgt-in_binary64
23796×associate-/l*_binary64
22765×distribute-lft-in_binary64
22343×associate-*l*_binary64
21082×associate-*r*_binary64
19864×cancel-sign-sub-inv_binary64
17335×*-commutative_binary64
16947×unswap-sqr_binary64
16461×div-sub_binary64
15324×sub-neg_binary64
14264×associate-/r*_binary64
14262×distribute-rgt-neg-in_binary64
12289×associate-/l/_binary64
12085×associate-/r/_binary64
11287×distribute-lft-neg-in_binary64
10568×exp-prod_binary64
10169×unsub-neg_binary64
9086×log-prod_binary64
8883×neg-mul-1_binary64
8555×associate-*l/_binary64
8185×sqr-pow_binary64
7950×neg-sub0_binary64
7181×+-commutative_binary64
6861×distribute-rgt-out_binary64
6843×associate-*r/_binary64
6794×cube-prod_binary64
6510×associate-+l+_binary64
6198×associate-+r+_binary64
5385×associate--r+_binary64
5112×associate--l+_binary64
4925×distribute-rgt-neg-out_binary64
4792×distribute-lft-neg-out_binary64
4777×distribute-neg-in_binary64
4092×associate-+l-_binary64
3818×associate--r-_binary64
3679×distribute-neg-frac_binary64
3274×associate-+r-_binary64
3244×exp-sum_binary64
3210×distribute-lft-out_binary64
3168×log-div_binary64
3152×swap-sqr_binary64
2673×distribute-rgt-out--_binary64
2661×associate--l-_binary64
2630×unpow3_binary64
2166×*-rgt-identity_binary64
2162×cube-div_binary64
2099×difference-of-squares_binary64
1789×*-lft-identity_binary64
1646×exp-diff_binary64
1640×pow-sqr_binary64
1553×log-pow_binary64
1482×pow-plus_binary64
1330×cube-mult_binary64
1266×cube-unmult_binary64
1221×distribute-frac-neg_binary64
1131×sub0-neg_binary64
1053×+-rgt-identity_binary64
1017×distribute-neg-out_binary64
979×distribute-lft-out--_binary64
874×/-rgt-identity_binary64
841×rem-sqrt-square_binary64
743×distribute-rgt1-in_binary64
696×mul0-rgt_binary64
674×mul0-lft_binary64
592×cancel-sign-sub_binary64
565×prod-exp_binary64 remove-double-neg_binary64
486×mul-1-neg_binary64
378×unpow1/2_binary64
371×div0_binary64
348×div-exp_binary64
343×+-lft-identity_binary64
331×log-rec_binary64
325×unpow2_binary64
313×distribute-lft1-in_binary64
306×count-2_binary64
273×unpow1_binary64
267×sqr-neg_binary64 remove-double-div_binary64
248×--rgt-identity_binary64
234×exp-neg_binary64
195×difference-of-sqr-1_binary64
176×difference-of-sqr--1_binary64
151×cube-neg_binary64
145×1-exp_binary64
139×exp-to-pow_binary64
128×rem-square-sqrt_binary64
105×unpow1/3_binary64
89×+-inverses_binary64 rem-cbrt-cube_binary64
85×rec-exp_binary64
82×rem-3cbrt-lft_binary64
66×exp-1-e_binary64
61×exp-sqrt_binary64
51×exp-lft-sqr_binary64
50×rem-exp-log_binary64
29×*-inverses_binary64
20×rem-cube-cbrt_binary64 rem-log-exp_binary64
18×pow-base-1_binary64
17×exp-lft-cube_binary64 rem-3cbrt-rft_binary64
sin-neg_binary64
log-E_binary64
rgt-mult-inverse_binary64 unpow-1_binary64 lft-mult-inverse_binary64 cos-neg_binary64
sub-1-cos_binary64
1-sub-cos_binary64 tan-neg_binary64 if-if-or-not_binary64
hang-p0-tan_binary64 sqr-abs_binary64 hang-0p-tan_binary64 hang-0m-tan_binary64 cos-0_binary64
e-exp-1_binary64 if-if-and-not_binary64 cos-PI/2_binary64 cos-PI/3_binary64 not-lte_binary64 sinh-+-cosh_binary64 tan-0_binary64 sinh-cosh_binary64 and-false-r cos-PI_binary64 if-false_binary64 gt-same_binary64 cos-sin-sum_binary64 not-lt_binary64 cos-+PI_binary64 unpow0_binary64 sin-PI_binary64 1-sub-sin_binary64 exp-cbrt_binary64 not-not if-not_binary64 tan-PI/4_binary64 lte-same_binary64 lt-same_binary64 tanh-def-a_binary64 cos-PI/6_binary64 tan-PI/6_binary64 erfc-erf_binary64 tanh-def-c_binary64 or-true-l not-false not-or exp-0_binary64 tan-+PI_binary64 tan-PI/3_binary64 if-if-or_binary64 or-false-l sinh-def_binary64 erf-odd_binary64 if-same_binary64 tanh-def-b_binary64 sin-0_binary64 and-same -1-add-cos_binary64 not-gt_binary64 and-true-l cosh-def_binary64 -1-add-sin_binary64 cos-PI/4_binary64 or-true-r erf-erfc_binary64 or-false-r cos-+PI/2_binary64 not-gte_binary64 hang-m0-tan_binary64 pow-base-0_binary64 not-and sin-+PI/2_binary64 sin-PI/4_binary64 sin-PI/2_binary64 if-true_binary64 hang-p-tan_binary64 or-same sin-PI/3_binary64 sinh---cosh_binary64 hang-m-tan_binary64 if-if-and_binary64 sin-PI/6_binary64 and-true-r sin-+PI_binary64 gte-same_binary64 tan-+PI/2_binary64 sub-1-sin_binary64 tan-PI_binary64 not-true and-false-l
Counts
13254 → 9551

analyze13.1s (7.8%)

Algorithm
28×search
56×egg-herbie
Rules
5498×div-sub_binary64
4331×distribute-rgt-in_binary64
4046×associate-/l*_binary64
3824×sub-neg_binary64
2724×unsub-neg_binary64
2712×associate--r-_binary64
2613×associate-/r*_binary64
2564×distribute-lft-in_binary64
2515×associate--r+_binary64
2477×unswap-sqr_binary64
2336×cancel-sign-sub-inv_binary64
2165×times-frac_binary64
2159×neg-mul-1_binary64
2145×distribute-rgt-neg-in_binary64
1966×neg-sub0_binary64
1913×associate-*l*_binary64
1905×associate--l+_binary64
1879×associate--l-_binary64
1875×associate-/l/_binary64
1741×associate-*r*_binary64
1596×associate-/r/_binary64
1498×distribute-lft-neg-in_binary64
1418×*-commutative_binary64
1338×distribute-neg-frac_binary64
1259×distribute-lft-neg-out_binary64
1211×distribute-rgt-neg-out_binary64
1021×distribute-neg-in_binary64
988×+-commutative_binary64
899×associate-*l/_binary64
703×remove-double-neg_binary64
682×associate-+l-_binary64
619×distribute-rgt-out_binary64
575×distribute-frac-neg_binary64
510×associate-*r/_binary64
443×*-lft-identity_binary64
408×associate-+r+_binary64
405×associate-+l+_binary64
400×distribute-lft-out_binary64
361×sub0-neg_binary64
316×cancel-sign-sub_binary64
313×associate-+r-_binary64
282×sqr-pow_binary64
264×mul0-rgt_binary64
255×mul0-lft_binary64
239×*-rgt-identity_binary64
236×cube-prod_binary64
213×div0_binary64
209×distribute-rgt-out--_binary64
200×/-rgt-identity_binary64
197×distribute-neg-out_binary64
186×difference-of-squares_binary64
179×+-lft-identity_binary64
165×pow-sqr_binary64
155×+-rgt-identity_binary64
150×exp-prod_binary64
112×unpow3_binary64
104×--rgt-identity_binary64
98×pow-plus_binary64
92×log-prod_binary64
90×mul-1-neg_binary64
78×cube-mult_binary64
66×cube-unmult_binary64
65×log-div_binary64
61×difference-of-sqr--1_binary64
59×remove-double-div_binary64
52×swap-sqr_binary64
46×distribute-lft-out--_binary64
39×prod-exp_binary64
37×difference-of-sqr-1_binary64
36×exp-sum_binary64
34×distribute-rgt1-in_binary64
30×exp-sqrt_binary64
28×1-exp_binary64
25×cube-div_binary64 rem-sqrt-square_binary64 exp-lft-sqr_binary64
16×sqr-neg_binary64
13×unpow2_binary64
11×exp-diff_binary64
div-exp_binary64
log-rec_binary64 rec-exp_binary64
distribute-lft1-in_binary64 *-inverses_binary64
unpow1_binary64
exp-1-e_binary64 count-2_binary64
unpow1/2_binary64 cube-neg_binary64 tan-neg_binary64 +-inverses_binary64 exp-neg_binary64 sin-neg_binary64
swap-a-b hang-p0-tan_binary64 swap-a-x
e-exp-1_binary64 hang-m-tan_binary64 cos-PI/3_binary64 if-if-and-not_binary64 cos-PI/2_binary64 not-lte_binary64 sinh-+-cosh_binary64 not-or rgt-mult-inverse_binary64 tan-0_binary64 sinh-cosh_binary64 and-false-r cos-PI_binary64 if-false_binary64 gt-same_binary64 cos-sin-sum_binary64 not-lt_binary64 rem-square-sqrt_binary64 sqr-abs_binary64 cos-+PI_binary64 unpow0_binary64 sin-PI_binary64 1-sub-sin_binary64 exp-cbrt_binary64 not-not unpow-1_binary64 if-not_binary64 if-if-or-not_binary64 lte-same_binary64 exp-lft-cube_binary64 1-sub-cos_binary64 tan-PI/4_binary64 lt-same_binary64 tanh-def-a_binary64 cos-PI/6_binary64 tan-PI/6_binary64 erfc-erf_binary64 tanh-def-c_binary64 or-true-l sub-1-cos_binary64 rem-3cbrt-rft_binary64 exp-0_binary64 tan-+PI_binary64 tan-PI/3_binary64 if-if-or_binary64 rem-3cbrt-lft_binary64 log-E_binary64 pow-base-1_binary64 exp-to-pow_binary64 or-false-l sinh-def_binary64 erf-odd_binary64 if-same_binary64 tanh-def-b_binary64 rem-exp-log_binary64 log-pow_binary64 and-true-l and-same -1-add-cos_binary64 not-gt_binary64 cosh-def_binary64 -1-add-sin_binary64 rem-cube-cbrt_binary64 cos-PI/4_binary64 or-true-r erf-erfc_binary64 or-false-r cos-+PI/2_binary64 not-gte_binary64 hang-m0-tan_binary64 hang-0p-tan_binary64 pow-base-0_binary64 not-and lft-mult-inverse_binary64 rem-cbrt-cube_binary64 sin-PI/4_binary64 sin-PI/2_binary64 sin-0_binary64 hang-p-tan_binary64 hang-0m-tan_binary64 or-same sin-PI/3_binary64 sinh---cosh_binary64 cos-neg_binary64 rem-log-exp_binary64 if-if-and_binary64 sin-PI/6_binary64 tan-+PI/2_binary64 if-true_binary64 and-true-r cos-0_binary64 sin-+PI_binary64 gte-same_binary64 sin-+PI/2_binary64 not-false sub-1-sin_binary64 tan-PI_binary64 not-true and-false-l unpow1/3_binary64
Search
TrueOtherFalseIter
0%90.9%9.1%0
14.3%76.7%9.1%1
21.4%67.8%10.9%2
33.2%51.7%15.1%3
37.6%44.1%18.2%4
43.8%36.2%19.9%5
46.6%32.5%20.9%6
48.1%29.6%22.3%7
49.9%27.4%22.7%8
51.1%25.4%23.5%9
51.5%24.3%24.2%10
52.4%22.9%24.7%11
53.2%21.5%25.2%12
53.5%20.9%25.6%13
53.9%20.1%26%14
Compiler

Compiled 332 to 278 computations (16.3% saved)

series12.8s (7.6%)

Counts
329 → 2921
Calls

243 calls:

1.1s
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
448.0ms
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
414.0ms
(cbrt.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))
341.0ms
(cbrt.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
330.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
Compiler

Compiled 172607 to 125452 computations (27.3% saved)

prune8.2s (4.8%)

Counts
10055 → 651
Compiler

Compiled 204609 to 124626 computations (39.1% saved)

localize1.2s (0.7%)

bsearch580.0ms (0.3%)

Compiler

Compiled 49 to 52 computations (-6.1% saved)

end54.0ms (0%)

Compiler

Compiled 1169 to 762 computations (34.8% saved)

Profiling

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