Date:	Wednesday, April 28th, 2021
Commit:	15160217 on split-operator-table
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

sample42.9s (24.9%)

Algorithm

69×

intervals

Results

11.4s	231153×	body	128	valid
4.5s	14906×	body	1024	valid
3.3s	6112×	body	2048	valid
1.9s	82760×	pre	128	true
1.8s	14533×	body	128	invalid
1.4s	7482×	body	512	valid
1.2s	200×	body	8192	exit
1.1s	12002×	body	256	valid
302.0ms	793×	body	4096	valid
122.0ms	207×	body	1024	invalid
98.0ms	269×	body	512	invalid
84.0ms	1707×	body	128	nan
33.0ms	158×	body	256	invalid
19.0ms	20×	body	2048	invalid
16.0ms	221×	body	128	overflowed
4.0ms	103×	pre	128	false

Compiler

Compiled 9315 to 6915 computations (25.8% saved)

regimes33.4s (19.4%)

Compiler: Compiled 585008 to 405921 computations (30.6% saved)

analyze25.4s (14.7%)

Algorithm

36×	search
76×	egg-herbie
2×	random

Rules

8559×	`sub-neg_binary64`
7980×	`distribute-rgt-in_binary64`
6870×	`div-sub_binary64`
6636×	`unsub-neg_binary64`
5762×	`neg-mul-1_binary64`
5498×	`distribute-lft-in_binary64`
4989×	`distribute-rgt-neg-in_binary64`
4925×	`neg-sub0_binary64`
4881×	`associate-l_binary64`
4774×	`associate-/l*_binary64`
4719×	`cancel-sign-sub-inv_binary64`
4519×	`times-frac_binary64`
4187×	`associate-r_binary64`
3909×	`distribute-lft-neg-in_binary64`
3723×	`*-commutative_binary64`
3369×	`associate-/r*_binary64`
3021×	`+-commutative_binary64`
2904×	`distribute-neg-in_binary64`
2706×	`sqr-pow_binary64`
2506×	`distribute-lft-neg-out_binary64`
2493×	`distribute-rgt-neg-out_binary64`
2373×	`associate-/l/_binary64`
2312×	`distribute-neg-frac_binary64`
2305×	`associate-*l/_binary64`
2201×	`associate-/r/_binary64`
2155×	`associate-+l+_binary64`
2133×	`associate--r-_binary64`
2083×	`associate-+l-_binary64`
2050×	`distribute-neg-out_binary64`
2035×	`associate--r+_binary64`
1850×	`unswap-sqr_binary64`
1843×	`associate-+r+_binary64`
1776×	`distribute-rgt-out_binary64`
1652×	`distribute-rgt-out--_binary64`
1626×	`distribute-lft-out_binary64`
1616×	`distribute-frac-neg_binary64`
1605×	`associate-*r/_binary64`
1435×	`remove-double-neg_binary64`
1242×	`associate--l+_binary64`
1157×	`pow-sqr_binary64`
1110×	`associate--l-_binary64`
1014×	`distribute-lft-out--_binary64`
996×	`associate-+r-_binary64`
903×	`cube-prod_binary64`
822×	`cancel-sign-sub_binary64`
751×	`sub0-neg_binary64`
699×	`swap-sqr_binary64`
634×	`*-lft-identity_binary64`
611×	`exp-sum_binary64`
535×	`exp-prod_binary64`
507×	`unpow3_binary64`
483×	`*-rgt-identity_binary64`
440×	`mul0-rgt_binary64`
434×	`mul0-lft_binary64`
425×	`distribute-rgt1-in_binary64`
418×	`cube-mult_binary64`
344×	`/-rgt-identity_binary64`
339×	`+-lft-identity_binary64`
333×	`--rgt-identity_binary64`
303×	`div0_binary64`
297×	`+-rgt-identity_binary64`
273×	`exp-diff_binary64`
270×	`pow-plus_binary64`
171×	`sqr-neg_binary64`
115×	`mul-1-neg_binary64`
109×	`exp-neg_binary64`
98×	`distribute-lft1-in_binary64`
82×	`remove-double-div_binary64`
79×	`cube-unmult_binary64`
77×	`rem-sqrt-square_binary64`
76×	`difference-of-squares_binary64`
56×	`count-2_binary64`
53×	`unpow2_binary64`
40×	`unpow1/2_binary64`
38×	`unpow1_binary64`
36×	`cube-neg_binary64`
32×	`cube-div_binary64` `prod-exp_binary64`
29×	`1-exp_binary64`
19×	`+-inverses_binary64`
16×	`difference-of-sqr--1_binary64`
15×	`div-exp_binary64`
13×	`difference-of-sqr-1_binary64`
10×	`*-inverses_binary64`
7×	`lft-mult-inverse_binary64`
6×	`rec-exp_binary64`
4×	`swap-a-b`
3×	`rgt-mult-inverse_binary64` `exp-sqrt_binary64` `swap-a-c` `exp-1-e_binary64`
2×	`swap-a-d` `sqr-abs_binary64` `exp-lft-sqr_binary64`
1×	`swap-a-e` `swap-b-d` `swap-x-y` `swap-b-c`
0×	`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` `tan-0_binary64` `sinh-cosh_binary64` `and-false-r` `log-rec_binary64` `cos-PI_binary64` `if-false_binary64` `swap-d-e` `gt-same_binary64` `cos-sin-sum_binary64` `hang-p0-tan_binary64` `not-lt_binary64` `rem-square-sqrt_binary64` `swap-c-e` `cos-+PI_binary64` `unpow0_binary64` `sin-PI_binary64` `1-sub-sin_binary64` `exp-cbrt_binary64` `not-not` `unpow-1_binary64` `if-not_binary64` `rem-3cbrt-rft_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` `log-prod_binary64` `tan-PI/6_binary64` `erfc-erf_binary64` `tan-neg_binary64` `tanh-def-c_binary64` `or-true-l` `sub-1-cos_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` `sin-neg_binary64` `cos-PI/4_binary64` `swap-b-e` `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` `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` `swap-c-d` `log-div_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

True	Other	False	Iter
0%	60.5%	39.5%	0
1.4%	59.2%	39.5%	1
5.6%	55%	39.5%	2
11.1%	47.4%	41.5%	3
13.9%	43.5%	42.6%	4
19%	38.1%	42.8%	5
20.7%	35.1%	44.2%	6
24%	30.1%	45.9%	7
26.5%	26.9%	46.6%	8
29.4%	22.8%	47.8%	9
31.8%	19.6%	48.6%	10
33.4%	17.3%	49.2%	11
35.7%	14.6%	49.7%	12
40.6%	9%	50.4%	13
41.2%	8.2%	50.7%	14

Compiler

Compiled 1071 to 786 computations (26.6% saved)

rewrite21.3s (12.4%)

Algorithm

102×	rewrite-expression-head

Rules

6435×	`add-sqr-sqrt_binary64`
6366×	`times-frac_binary64`
5637×	`*-un-lft-identity_binary64`
3098×	`add-cube-cbrt_binary64`
1770×	`difference-of-squares_binary64`
1715×	`add-exp-log_binary64`
1447×	`add-cbrt-cube_binary64`
1112×	`associate-r_binary64`
1059×	`unpow-prod-down_binary64`
1051×	`cbrt-prod_binary64`
853×	`pow1_binary64`
788×	`distribute-lft-out_binary64`
645×	`sqr-pow_binary64`
634×	`cancel-sign-sub-inv_binary64`
626×	`add-log-exp_binary64`
598×	`prod-exp_binary64`
578×	`sqrt-prod_binary64`
529×	`cbrt-unprod_binary64`
521×	`distribute-lft-out--_binary64`
412×	`div-exp_binary64`
405×	`associate-l_binary64`
392×	`associate-/l*_binary64`
374×	`div-inv_binary64`
352×	`cbrt-undiv_binary64`
337×	`associate-/r*_binary64`
297×	`cube-prod_binary64`
290×	`associate-/r/_binary64`
278×	`flip-+_binary64` `flip3-+_binary64`
261×	`frac-times_binary64`
232×	`pow-prod-down_binary64`
217×	`flip--_binary64` `flip3--_binary64`
216×	`associate-*r/_binary64`
185×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
159×	`associate-*l/_binary64`
149×	`unswap-sqr_binary64`
140×	`sum-log_binary64`
129×	`cbrt-div_binary64`
105×	`sqrt-div_binary64` `difference-of-sqr-1_binary64`
103×	`cube-mult_binary64`
102×	`unpow3_binary64`
100×	`frac-sub_binary64`
90×	`associate-/l/_binary64`
84×	`sub-neg_binary64`
83×	`exp-neg_binary64`
74×	`distribute-rgt-out--_binary64`
73×	`*-commutative_binary64`
71×	`swap-sqr_binary64`
65×	`neg-sub0_binary64`
63×	`exp-diff_binary64`
60×	`exp-sum_binary64` `pow-prod-up_binary64`
59×	`frac-2neg_binary64` `clear-num_binary64`
58×	`diff-log_binary64`
56×	`sqrt-pow1_binary64`
40×	`+-commutative_binary64` `pow1/3_binary64`
39×	`pow-unpow_binary64`
38×	`pow-sqr_binary64`
36×	`pow1/2_binary64`
34×	`pow-exp_binary64`
32×	`associate-+r+_binary64` `pow-plus_binary64`
26×	`1-exp_binary64`
25×	`un-div-inv_binary64`
24×	`associate-+l+_binary64` `div-sub_binary64`
23×	`pow-to-exp_binary64` `unpow2_binary64` `rec-exp_binary64` `pow2_binary64`
22×	`rem-sqrt-square_binary64`
20×	`pow-pow_binary64`
16×	`cube-div_binary64`
15×	`frac-add_binary64`
13×	`associate--r+_binary64`
8×	`log-prod_binary64`
7×	`rem-cbrt-cube_binary64`
6×	`rem-cube-cbrt_binary64` `associate-+r-_binary64` `log-pow_binary64`
5×	`pow-flip_binary64`
4×	`associate--l-_binary64` `log-div_binary64` `inv-pow_binary64`
3×	`associate--l+_binary64` `unsub-neg_binary64` `sqrt-pow2_binary64`
2×	`rem-log-exp_binary64` `distribute-lft-neg-out_binary64`
1×	`distribute-rgt1-in_binary64` `sqrt-unprod_binary64` `rem-square-sqrt_binary64` `distribute-rgt-out_binary64` `neg-log_binary64`

Counts

295 → 11155

Calls

238 calls:

140.0ms	(+.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (-.f64 1 eps)))) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps)))))
71.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
66.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
60.0ms	(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
58.0ms	(.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (/.f64 (/.f64 (cbrt.f64 v) (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))

Compiler

Compiled 379131 to 217618 computations (42.6% saved)

simplify19.8s (11.5%)

Algorithm

168×	egg-herbie

Rules

36048×	`distribute-rgt-in_binary64`
28139×	`distribute-lft-in_binary64`
27129×	`times-frac_binary64`
25910×	`associate-l_binary64`
21892×	`associate-r_binary64`
20970×	`associate-/l*_binary64`
20699×	`cancel-sign-sub-inv_binary64`
20342×	`sub-neg_binary64`
18818×	`*-commutative_binary64`
17183×	`unswap-sqr_binary64`
17150×	`div-sub_binary64`
14846×	`distribute-rgt-neg-in_binary64`
13803×	`unsub-neg_binary64`
12542×	`neg-mul-1_binary64`
12261×	`associate-/r*_binary64`
12223×	`associate-/l/_binary64`
12009×	`associate-*l/_binary64`
11047×	`distribute-lft-neg-in_binary64`
11045×	`associate-/r/_binary64`
10867×	`neg-sub0_binary64`
10384×	`sqr-pow_binary64`
9929×	`associate-+l+_binary64`
9471×	`exp-prod_binary64`
9260×	`+-commutative_binary64`
9068×	`associate-*r/_binary64`
8193×	`distribute-rgt-out_binary64`
8173×	`associate-+r+_binary64`
7486×	`distribute-neg-in_binary64`
6584×	`log-prod_binary64`
6142×	`associate--r+_binary64`
5624×	`distribute-lft-neg-out_binary64`
5524×	`cube-prod_binary64`
5377×	`associate--l+_binary64`
4688×	`distribute-rgt-neg-out_binary64`
4392×	`distribute-neg-frac_binary64`
3875×	`distribute-lft-out_binary64`
3833×	`swap-sqr_binary64`
3526×	`log-div_binary64`
3387×	`associate-+l-_binary64`
3380×	`exp-sum_binary64`
3236×	`associate--r-_binary64`
3169×	`distribute-rgt-out--_binary64`
2772×	`pow-sqr_binary64`
2576×	`unpow3_binary64`
2367×	`*-rgt-identity_binary64`
2191×	`*-lft-identity_binary64`
1968×	`associate-+r-_binary64`
1777×	`distribute-neg-out_binary64`
1654×	`cube-div_binary64`
1538×	`cube-mult_binary64`
1437×	`exp-diff_binary64`
1353×	`pow-plus_binary64`
1341×	`remove-double-neg_binary64`
1285×	`distribute-frac-neg_binary64`
1207×	`log-pow_binary64`
1137×	`difference-of-squares_binary64`
1117×	`rem-sqrt-square_binary64`
1104×	`cube-unmult_binary64`
1094×	`sub0-neg_binary64`
1079×	`distribute-lft-out--_binary64`
1071×	`associate--l-_binary64`
1040×	`/-rgt-identity_binary64`
950×	`mul0-rgt_binary64`
928×	`mul0-lft_binary64`
878×	`distribute-rgt1-in_binary64`
773×	`+-rgt-identity_binary64`
548×	`cancel-sign-sub_binary64`
488×	`mul-1-neg_binary64`
434×	`sqr-neg_binary64`
388×	`unpow1/2_binary64`
378×	`prod-exp_binary64`
376×	`unpow2_binary64`
366×	`+-lft-identity_binary64`
338×	`div0_binary64`
327×	`unpow1_binary64`
309×	`log-rec_binary64`
305×	`--rgt-identity_binary64`
274×	`distribute-lft1-in_binary64`
259×	`count-2_binary64`
242×	`remove-double-div_binary64`
234×	`exp-neg_binary64`
227×	`exp-to-pow_binary64`
179×	`unpow1/3_binary64`
140×	`1-exp_binary64`
137×	`cube-neg_binary64`
126×	`div-exp_binary64`
117×	`rem-square-sqrt_binary64`
94×	`exp-lft-sqr_binary64`
86×	`rem-cbrt-cube_binary64`
74×	`exp-sqrt_binary64`
68×	`rem-3cbrt-lft_binary64`
61×	`difference-of-sqr-1_binary64`
56×	`+-inverses_binary64`
55×	`exp-1-e_binary64`
52×	`difference-of-sqr--1_binary64`
34×	`rem-exp-log_binary64`
32×	`rec-exp_binary64`
24×	`rem-cube-cbrt_binary64`
22×	`*-inverses_binary64`
21×	`rem-3cbrt-rft_binary64`
18×	`rem-log-exp_binary64`
13×	`lft-mult-inverse_binary64`
8×	`pow-base-1_binary64`
6×	`rgt-mult-inverse_binary64`
5×	`exp-lft-cube_binary64` `log-E_binary64`
4×	`sqr-abs_binary64`
1×	`unpow-1_binary64`
0×	`e-exp-1_binary64` `if-if-and-not_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `not-lte_binary64` `sinh-+-cosh_binary64` `sub-1-cos_binary64` `tan-0_binary64` `sinh-cosh_binary64` `and-false-r` `cos-PI_binary64` `if-false_binary64` `gt-same_binary64` `cos-sin-sum_binary64` `hang-p0-tan_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` `1-sub-cos_binary64` `lt-same_binary64` `tanh-def-a_binary64` `cos-PI/6_binary64` `tan-PI/6_binary64` `erfc-erf_binary64` `tan-neg_binary64` `tanh-def-c_binary64` `if-if-or-not_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` `sin-neg_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` `sin-+PI/2_binary64` `sin-PI/4_binary64` `sin-PI/2_binary64` `if-true_binary64` `hang-p-tan_binary64` `hang-0m-tan_binary64` `or-same` `sin-PI/3_binary64` `sinh---cosh_binary64` `hang-m-tan_binary64` `cos-neg_binary64` `if-if-and_binary64` `sin-PI/6_binary64` `and-true-r` `cos-0_binary64` `sin-+PI_binary64` `gte-same_binary64` `tan-+PI/2_binary64` `sub-1-sin_binary64` `tan-PI_binary64` `not-true` `and-false-l`

Counts

15012 → 11549

series16.9s (9.8%)

Counts

295 → 3824

Calls

238 calls:

796.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (-.f64 (.f64 (.f64 x1 x1) (.f64 x1 x1)) (.f64 1 1))) (.f64 (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 x1) 1)) 3))) (+.f64 (.f64 x1 x1) -1))) (.f64 (*.f64 x1 x1) -6))
446.0ms	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (-.f64 (.f64 (.f64 x1 x1) (.f64 x1 x1)) (.f64 1 1))) (.f64 (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 x1) 1)) 3))) (+.f64 (*.f64 x1 x1) -1)))
377.0ms	(+.f64 (+.f64 (.f64 (.f64 x1 x1) (.f64 4 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 (.f64 x1 x1) 3) x1)) (+.f64 (.f64 x1 x1) 1)))) (.f64 (.f64 2 (.f64 x1 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 (.f64 x1 x1) 3) x1)) (+.f64 (.f64 x1 x1) 1)))) (-.f64 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 (.f64 x1 x1) 3) x1)) (+.f64 (.f64 x1 x1) 1)) 3))) (.f64 (.f64 (neg.f64 (sqrt.f64 6)) (sqrt.f64 6)) (*.f64 x1 x1)))
371.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
370.0ms	(cbrt.f64 (+.f64 (.f64 d b) (.f64 c a)))

Compiler

Compiled 239992 to 173691 computations (27.6% saved)

prune10.9s (6.3%)

Counts: 12053 → 653
Compiler: Compiled 257095 to 143994 computations (44% saved)

localize1.2s (0.7%)

bsearch467.0ms (0.3%)

Compiler: Compiled 24 to 29 computations (-20.8% saved)

end75.0ms (0%)

Compiler: Compiled 923 to 656 computations (28.9% saved)

Details

sample42.9s (24.9%)

regimes33.4s (19.4%)

analyze25.4s (14.7%)

rewrite21.3s (12.4%)

simplify19.8s (11.5%)

series16.9s (9.8%)

prune10.9s (6.3%)

localize1.2s (0.7%)

bsearch467.0ms (0.3%)

end75.0ms (0%)

Profiling