Date:Thursday, April 30th, 2020
Commit:8dd810b8 on joint-profile
Hostname:warfa with Racket 7.5
Seed:2020121
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:numericsrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
+o rules:numerics

Details

sample3.7m (62.9%)

Algorithm
78×intervals
Results
2.4m25213×body10240exit
34.1s44005×body1280valid
11.4s30652×body640valid
6.9s203111×body80valid
4.8s153236×body80nan
4.6s27572×body320valid
3.1s35688×body160valid
2.9s166239×pre80true
753.0ms3080×body2560valid
364.0ms8048×body160nan
229.0ms16542×pre80false
83.0ms246×body5120valid

prune47.8s (13.4%)

Filtered
25262 candidates to 12142 candidates (48.1%)

series45.6s (12.8%)

Calls

463 calls:

949.0ms
(sqrt (/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))))
798.0ms
(sqrt (/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))))
725.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))
722.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))
721.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify16.0s (4.5%)

Algorithm
220×egg-herbie

regimes9.7s (2.7%)

Accuracy

Total 29.7b remaining (25.3%)

Threshold costs 5.6b (4.8%)

5.6b59.2%Cubic critical, narrow range
4.7b35.5%Cubic critical, medium range
3.9b85.7%Quadratic roots, full range
3.4b0%Cubic critical, wide range
2.5b64.5%Quotient of products

rewrite6.5s (1.8%)

Algorithm
142×rewrite-expression-head
Calls

463 calls:

258.0ms
(/ (- (pow (/ x (+ x 1.0)) 3) (pow (/ (+ x 1.0) (- x 1.0)) 3)) (fma (/ (+ x 1.0) (- x 1.0)) (+ (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0)))))
249.0ms
(/ (- (pow (/ x (+ x 1.0)) 3) (pow (/ (+ x 1.0) (- x 1.0)) 3)) (fma (/ (+ x 1.0) (- x 1.0)) (+ (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0)))))
160.0ms
(- (pow (/ x (+ x 1.0)) 3) (pow (/ (+ x 1.0) (- x 1.0)) 3))
156.0ms
(- (pow (/ x (+ x 1.0)) 3) (pow (/ (+ x 1.0) (- x 1.0)) 3))
149.0ms
(cbrt (pow (/ (- (pow (/ x (+ x 1.0)) 3) (pow (/ (+ x 1.0) (- x 1.0)) 3)) (fma (/ (+ x 1.0) (- x 1.0)) (+ (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0))))) 3))
Rules
21605×*-un-lft-identity
16984×times-frac
15248×add-sqr-sqrt
9991×add-cube-cbrt
8199×prod-diff
6730×unpow-prod-down
6531×cube-prod
3302×add-exp-log
3078×distribute-lft-out
2552×distribute-lft-out--
2324×difference-of-squares
1816×add-cbrt-cube
1344×associate-/r/
1273×cbrt-prod
1239×prod-exp
1119×associate-*r*
1038×div-exp
867×div-inv
847×sqrt-prod
839×pow1
697×sqr-pow add-log-exp
610×associate-/l*
532×fma-neg
525×cbrt-unprod
485×associate-/r*
484×cbrt-undiv
471×distribute-rgt-neg-in
467×pow-exp
465×log1p-expm1-u
463×expm1-log1p-u
455×flip--
454×flip3--
452×flip-+
451×flip3-+
381×associate-*l*
380×distribute-lft-neg-in
378×log-prod
344×pow-to-exp
253×unpow3 cube-mult
234×distribute-rgt-in distribute-lft-in
217×fma-def
190×unswap-sqr
134×pow-prod-down
123×neg-mul-1
122×associate-+l+
110×clear-num frac-2neg
101×associate-*r/
97×sub-neg
88×exp-sum
87×*-commutative
86×associate-/l/
82×associate-*l/
80×diff-log
75×log-pow
74×sqrt-div
72×frac-times
64×cos-sum
61×cbrt-div
54×pow1/3
52×unpow2
49×pow-unpow
46×div-sub
45×1-exp
43×rec-exp sum-log
41×exp-prod
35×difference-cubes log-div
32×pow1/2 sqrt-pow1
31×+-commutative
30×fma-udef distribute-rgt-out
28×neg-sub0
27×rem-sqrt-square swap-sqr
24×cube-div
23×sin-sum
22×associate--l+
20×tan-quot
19×neg-log associate-+l-
18×sin-diff
17×frac-add rem-log-exp pow-pow
16×associate-+r+
15×associate--l- cos-diff frac-sub
14×rem-cube-cbrt pow-flip sin-mult
11×pow-prod-up pow-sqr asin-acos
10×distribute-neg-frac
9×inv-pow
8×pow2 associate-+r- pow-plus acos-asin
7×rem-exp-log sin-cos-mult
6×distribute-lft-neg-out distribute-frac-neg
4×exp-diff expm1-udef rem-cbrt-cube
3×acos-neg un-div-inv unsub-neg log1p-udef expm1-log1p unpow-prod-up cos-mult associate--r- distribute-rgt-neg-out associate--r+
2×distribute-lft1-in log1p-expm1 hypot-udef hypot-def
1×e-exp-1 sqrt-unprod

bsearch4.6s (1.3%)

localize2.2s (0.6%)

end1.0ms (0.0%)

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