Date:Tuesday, March 31st, 2020
Commit:2cac45bc on simpler-alts
Hostname:warfa with Racket 7.5
Seed:2020091
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

sample1.8m (53.9%)

Algorithm
56×intervals
16×halfpoints
Results
22.8s67459×body1280valid
17.6s17236×body2560valid
7.8s42729×body640valid
3.9s13352×body10240exit
2.8s92486×body80valid
2.3s20767×body320valid
1.7s64571×body80nan
1.3s2243×body1280nan
759.0ms10365×body160valid
745.0ms1858×body640nan
548.0ms47455×pre80true
218.0ms901×body320nan
145.0ms471×body5120valid
72.0ms491×body160nan

series41.0s (20.3%)

Calls

414 calls:

935.0ms
(* (+ (sqrt (/ 1.0 (sqrt x))) (/ (sqrt 1.0) (sqrt (sqrt (+ x 1.0))))) (/ (* (sqrt 1.0) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x)))) (* (sqrt (sqrt x)) (sqrt (sqrt (+ x 1.0))))))
921.0ms
(* (+ (sqrt (/ 1.0 (sqrt x))) (/ (sqrt 1.0) (sqrt (sqrt (+ x 1.0))))) (/ (* (sqrt 1.0) (log (exp (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x)))))) (* (sqrt (sqrt x)) (sqrt (sqrt (+ x 1.0))))))
882.0ms
(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (+ (* 1/2 (* (pow eps 2) (pow b 2))) (* eps b))))
601.0ms
(* (+ (sqrt (/ 1.0 (sqrt x))) (/ (sqrt 1.0) (sqrt (sqrt (+ x 1.0))))) (- (sqrt (/ 1.0 (sqrt x))) (/ (sqrt 1.0) (sqrt (sqrt (+ x 1.0))))))
582.0ms
(- (pow (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) 3) (pow (cos x) 3))

prune30.3s (15.0%)

Filtered
13218 candidates to 8503 candidates (64.3%)

simplify11.0s (5.4%)

Algorithm
196×egg-herbie

rewrite4.4s (2.2%)

Algorithm
124×rewrite-expression-head
Calls

414 calls:

142.0ms
(* (+ (sqrt (/ 1.0 (sqrt x))) (/ (sqrt 1.0) (sqrt (sqrt (+ x 1.0))))) (- (sqrt (/ 1.0 (sqrt x))) (/ (sqrt 1.0) (sqrt (sqrt (+ x 1.0))))))
100.0ms
(/ (* (+ (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (* 2.0 (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))) (/ 1 (pow x 3))))) (* (+ (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (- x 1.0)))
92.0ms
(* (+ (sqrt (/ 1.0 (sqrt x))) (/ (sqrt 1.0) (sqrt (sqrt (+ x 1.0))))) (/ (* (sqrt 1.0) (log (exp (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x)))))) (* (sqrt (sqrt x)) (sqrt (sqrt (+ x 1.0))))))
92.0ms
(* (+ (sqrt (/ 1.0 (sqrt x))) (/ (sqrt 1.0) (sqrt (sqrt (+ x 1.0))))) (/ (* (sqrt 1.0) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x)))) (* (sqrt (sqrt x)) (sqrt (sqrt (+ x 1.0))))))
80.0ms
(* (cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))) (cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))))
Rules
6984×times-frac
6285×*-un-lft-identity
6264×add-sqr-sqrt
3763×add-cube-cbrt
1861×sqrt-prod
1212×add-exp-log
1051×difference-of-squares
927×add-cbrt-cube
860×unpow-prod-down
816×add-log-exp
728×distribute-lft-out
678×pow1
655×associate-*r*
654×associate-/l*
615×distribute-lft-out--
499×cbrt-prod
379×sqr-pow
374×associate-*l*
324×associate-/r*
314×cube-prod
275×prod-exp
262×unswap-sqr
256×flip-- flip3--
250×div-inv
249×div-exp
212×associate-/r/
211×log-prod
188×flip-+ flip3-+
164×cbrt-undiv
163×cbrt-unprod
140×diff-log
137×associate-/l/ unpow2
129×exp-prod log-pow
128×pow-unpow
127×sub-neg
119×associate-*r/
114×frac-times
105×sqrt-div
102×pow-exp
100×cbrt-div
98×pow-to-exp
97×associate-*l/
81×sum-log
79×swap-sqr
75×pow-prod-down
68×*-commutative
64×frac-add frac-2neg frac-sub clear-num
63×distribute-rgt-neg-in sqrt-pow1
56×pow1/3
55×pow1/2
48×rem-sqrt-square
41×tan-quot
39×exp-sum
37×+-commutative
35×pow-pow
33×log-div
32×distribute-rgt-in unpow3 distribute-lft-in cube-mult
29×1-exp rec-exp
26×div-sub
24×complex-mul-def
23×neg-sub0 associate--l+
22×pow-prod-up
21×associate--r+
20×cube-div
18×pow-sqr rem-log-exp
14×associate-+r+ associate-+l-
13×neg-log
11×associate--l-
10×exp-diff associate-+l+
rem-cube-cbrt rem-exp-log cos-mult
exp-lft-sqr
inv-pow pow2 *.c-commutative pow-flip pow-plus sin-mult
pow-sub difference-of-sqr-1 pow-neg exp-to-pow
un-div-inv sqrt-unprod +.c-commutative complex-add-def rem-cbrt-cube
sin-cos-mult difference-cubes sub-div
distribute-lft-neg-in cos-sum associate-+l+.c exp-neg distribute-neg-frac rem-square-sqrt associate-*l*.c neg-mul-1 tan-sum sin-sum
unpow1/3 associate-+r- diff-atan distribute-rgt-out-- diff-cos frac-2neg.c diff-sin

regimes3.4s (1.7%)

Accuracy

Total 29.1b remaining (13.7%)

Threshold costs 5.2b (2.5%)

5.1b82.2%quadp (p42, positive)
4.8b83.1%quad2p (problem 3.2.1, positive)
4.7b82.8%quad2m (problem 3.2.1, negative)
3.2b0%expq3 (problem 3.4.2)
1.9b82.9%2nthrt (problem 3.4.6)

localize2.0s (1.0%)

bsearch977.0ms (0.5%)

end1.0ms (0.0%)