Date:Sunday, May 10th, 2020
Commit:c1e4db38 on master
Hostname:warfa with Racket 7.5
Seed:2020131
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

sample1.5m (42.9%)

Algorithm
77×intervals
Results
35.8s43497×body1280valid
12.5s30823×body640valid
8.4s201696×body80valid
6.8s153848×body80nan
5.4s27756×body320valid
3.9s157195×pre80true
3.8s36365×body160valid
1.2s160×body5120exit
948.0ms2996×body2560valid
758.0ms15875×body80overflowed
607.0ms3062×body2560nan
420.0ms2614×body1280nan
347.0ms16215×pre80false
166.0ms1281×body640nan
85.0ms245×body5120valid
64.0ms653×body320nan
22.0ms323×body160nan

series51.4s (23.8%)

Calls

498 calls:

1.5s
(* (+ (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)) (/ (- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3)) (+ (+ (/ x0 (- 1.0 x1)) x0) (* (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)))))
1.5s
(log (exp (* (+ (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)) (/ (- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3)) (+ (+ (/ x0 (- 1.0 x1)) x0) (* (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)))))))
1.4s
(* (+ (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)) (/ (- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3)) (+ (+ (/ x0 (- 1.0 x1)) x0) (* (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)))))
482.0ms
(- (/ 2.0 (/ (+ (pow 1.0 3) (pow (exp (* -2.0 x)) 3)) (+ (* (exp (* -2.0 x)) (- (exp (* -2.0 x)) 1.0)) (* 1.0 1.0)))) 1.0)
410.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2.0))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2))))

prune41.4s (19.2%)

Filtered
16037 candidates to 10344 candidates (64.5%)

simplify12.7s (5.9%)

Algorithm
220×egg-herbie

regimes9.3s (4.3%)

Accuracy

Total 26.6b remaining (20.9%)

Threshold costs 6.3b (4.9%)

5.6b50.8%Quotient of products
4.8b82.1%Cubic critical
4.1b70.4%Equirectangular approximation to distance on a great circle
2.6b0%2-ancestry mixing, positive discriminant
2.1b91.6%Quadratic roots, full range

rewrite5.7s (2.6%)

Algorithm
144×rewrite-expression-head
Calls

498 calls:

235.0ms
(- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3))
121.0ms
(* (+ (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)) (/ (- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3)) (+ (+ (/ x0 (- 1.0 x1)) x0) (* (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)))))
120.0ms
(* (+ (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)) (/ (- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3)) (+ (+ (/ x0 (- 1.0 x1)) x0) (* (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)))))
91.0ms
(* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) (- 1.0 m))
81.0ms
(- (- (/ (neg 1.0) (pow x 2)) (/ 3.0 x)) (/ 3.0 (pow x 3)))
Rules
5904×add-sqr-sqrt
5435×times-frac
5408×*-un-lft-identity
3268×add-cube-cbrt
2276×add-exp-log
1924×add-cbrt-cube
1371×associate-*r*
1270×associate-*l/
1221×pow1
1149×flip--
1148×flip3--
1104×difference-of-squares
903×sqrt-prod
855×unpow-prod-down
809×add-log-exp
736×distribute-lft-out--
705×associate-/l*
682×frac-times
673×cube-prod
666×sqrt-div
615×div-exp
609×prod-exp
596×frac-add
573×associate-/r*
479×cbrt-unprod
456×cbrt-undiv
418×associate-*l* associate-*r/
341×distribute-lft-out
326×cbrt-prod
295×div-inv
282×sqr-pow
280×associate-/r/
274×pow-prod-down
265×distribute-rgt-neg-in
209×log-prod
184×unswap-sqr
176×flip-+
175×flip3-+
124×clear-num frac-2neg
120×cbrt-div sub-neg
114×associate-/l/
105×*-commutative
103×log-pow
101×diff-log
67×sum-log
65×pow-prod-up
63×exp-prod
62×unpow3 cube-mult
61×distribute-lft-neg-in
53×pow1/3
51×pow1/2 sqrt-pow1
49×pow-sqr swap-sqr
48×1-exp
45×+-commutative log-div
44×distribute-rgt-in distribute-lft-in div-sub
42×associate-+r+
39×unpow2 pow-exp
36×rem-sqrt-square pow-to-exp
35×sin-mult
33×neg-sub0
32×pow-plus
31×frac-sub
30×pow-unpow
29×sin-cos-mult rec-exp
28×exp-sum
27×rem-log-exp
26×associate--l+
24×pow2
22×cos-diff tan-quot
21×neg-log
20×associate--l- pow-pow
19×cos-sum sin-sum neg-mul-1
18×associate-+l-
16×associate--r+ sin-diff
13×cube-div acos-asin
12×associate-+l+ sum-cubes pow-flip distribute-rgt-out tanh-def
11×rem-cube-cbrt distribute-rgt-neg-out
distribute-frac-neg cos-mult associate--r-
difference-cubes
inv-pow rem-cbrt-cube
exp-diff rem-exp-log associate-+r-
exp-to-pow
unsub-neg
acos-neg un-div-inv log-rec asin-acos
distribute-lft1-in sqrt-unprod
rem-square-sqrt tanh-undef

localize2.3s (1.0%)

bsearch516.0ms (0.2%)

end1.0ms (0.0%)

Profiling

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