Date:Wednesday, March 11th, 2020
Commit:79312c80 on better-rr
Hostname:warfa with Racket 7.5
Seed:2020071
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:numericsrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:better-rrreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
+o rules:numerics

Details

sample6.2m (82.4%)

Algorithm
78×intervals
Results
4.9m36760×body10240exit
33.4s43786×body1280valid
11.1s30840×body640valid
7.0s203908×body80valid
4.8s151655×body80nan
4.5s27465×body320valid
3.1s179037×pre80true
3.1s35990×body160valid
809.0ms3118×body2560valid
384.0ms8032×body160nan
226.0ms16766×pre80false
83.0ms241×body5120valid

series38.6s (8.5%)

Calls

475 calls:

898.0ms
(sqrt (+ (pow (- (* (sin (/ phi1 2.0)) (cos (/ phi2 2.0))) (* (cos (/ phi1 2.0)) (sin (/ phi2 2.0)))) 2.0) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0)))))
655.0ms
(+ (cos phi1) (/ (* (* (fma (cos lambda2) (cos lambda1) (* (sin lambda1) (sin (* -1 lambda2)))) (cos phi2)) (fma (sin lambda2) (sin lambda1) (* (cos lambda1) (cos lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))
580.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))
466.0ms
(* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (- phi1 phi2)) R)
372.0ms
(/ (/ (fma (* 3.0 c) a 0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

prune17.2s (3.8%)

Filtered
5814 candidates to 3942 candidates (67.8%)

simplify12.6s (2.8%)

Algorithm
219×egg-herbie

regimes5.7s (1.3%)

Accuracy

Total 20.7b remaining (22.9%)

Threshold costs 7.4b (8.2%)

7.2b33.5%Quotient of products
5.0b82.3%Quadratic roots, full range
1.0b95.4%Cubic critical
0.8b0%2-ancestry mixing, zero discriminant
0.7b0%(- (/ x0 (- 1 x1)) x0)

rewrite2.7s (0.6%)

Algorithm
141×rewrite-expression-head
Calls

475 calls:

45.0ms
(log (+ (* (pow 1.0 3) (pow 1.0 3)) (- (* (pow (exp x) 3) (pow (exp x) 3)) (* (pow 1.0 3) (pow (exp x) 3)))))
27.0ms
(- (* (pow (exp x) 3) (pow (exp x) 3)) (* (pow 1.0 3) (pow (exp x) 3)))
26.0ms
(* (/ (fma (/ (- x 1.0) 1.0) x (+ x 1.0)) (* (- (* x x) (* 1.0 1.0)) (- (* x x) (* 1.0 1.0)))) (* (* 1.0 (+ x 1.0)) (- x 1.0)))
19.0ms
(/ (/ (* (* a c) 3.0) (- (- b) (sqrt (+ (* b b) (- (* (* a c) 3.0)))))) (* 3.0 a))
18.0ms
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))
Rules
1228×*-commutative
720×frac-times
553×associate-/r*
552×difference-of-squares
549×clear-num
514×associate-/r/
506×frac-2neg
467×associate-*r/
419×flip--
418×flip3--
399×frac-sub prod-diff
382×flip-+
381×flip3-+
376×associate-*l*
358×associate-/l/
346×sqr-pow
333×div-inv
300×associate-/l*
239×associate-*l/
204×swap-sqr
184×times-frac
183×associate-*r*
168×log-div
151×unpow3
149×fma-neg
134×unpow-prod-down
120×sub-neg
96×neg-mul-1
75×distribute-rgt-in distribute-lft-in
70×frac-add
64×+-commutative
62×cbrt-div
60×div-sub
56×sqrt-div
51×cbrt-prod
45×neg-sub0
44×un-div-inv
40×unswap-sqr
36×distribute-rgt-neg-in distribute-lft-neg-in
32×sqrt-prod
29×associate-+r+
28×pow1/2
27×fma-def
25×associate-+l-
24×log-prod
22×fma-udef
21×pow-to-exp
20×tan-quot distribute-frac-neg
19×sin-mult
17×sin-diff
16×cos-diff associate--r+
15×associate--l-
14×difference-cubes
12×associate-+r- cos-sum
11×unpow2 pow1/3 sin-cos-mult distribute-rgt-out--
10×sin-sum distribute-lft-out-- log-rec
asin-acos associate--l+
inv-pow cos-mult pow2
distribute-rgt-out
acos-asin sub-div
acos-neg unsub-neg sum-log associate--r- sum-cubes
distribute-lft-out sin-neg remove-double-div pow-prod-down cbrt-undiv pow-flip exp-sum distribute-rgt-neg-out expm1-udef pow-exp prod-exp
distribute-neg-out associate-+l+ rem-exp-log hypot-udef cos-neg rec-exp div-exp tanh-undef

localize2.3s (0.5%)

bsearch639.0ms (0.1%)

end1.0ms (0.0%)