Date:Thursday, April 9th, 2020
Commit:e7bf75bc on gh-actions
Hostname:warfa with Racket 7.5
Seed:2020100
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

sample9.1m (81.9%)

Algorithm
78×intervals
Results
7.8m51917×body10240exit
34.1s44037×body1280valid
10.9s30370×body640valid
7.0s204772×body80valid
4.8s152067×body80nan
4.6s27662×body320valid
3.3s195433×pre80true
3.0s36029×body160valid
777.0ms3004×body2560valid
378.0ms7951×body160nan
227.0ms16481×pre80false
71.0ms210×body5120valid

prune46.8s (7.0%)

Filtered
19298 candidates to 11908 candidates (61.7%)

series42.6s (6.4%)

Calls

465 calls:

785.0ms
(- (expm1 (log1p (pow (cos delta) 3))) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3))
752.0ms
(- (pow (cos delta) 3) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3))
744.0ms
(- (pow (cos delta) 3) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3))
697.0ms
(/ (* (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)))
636.0ms
(* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (- phi1 phi2)) R)

simplify13.6s (2.0%)

Algorithm
224×egg-herbie

regimes10.7s (1.6%)

Accuracy

Total 32.3b remaining (27%)

Threshold costs 7.1b (5.9%)

6.0b14.6%Cubic critical, medium range
5.8b57.3%Cubic critical, narrow range
4.6b83.5%Cubic critical
3.1b71.9%Quotient of products
2.8b9.6%Cubic critical, wide range

rewrite5.0s (0.7%)

Algorithm
146×rewrite-expression-head
Calls

465 calls:

168.0ms
(- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (- 0.0625) (pow x 5))))
99.0ms
(log (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (- 0.0625) (pow x 5)))))
55.0ms
(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))
48.0ms
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))
37.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))
Rules
9240×*-un-lft-identity
9100×add-sqr-sqrt
8117×times-frac
6458×add-cube-cbrt
4743×prod-diff
2515×add-exp-log
1609×add-cbrt-cube
1212×sqrt-prod
1021×unpow-prod-down
974×associate--r+
943×difference-of-squares
881×distribute-rgt-neg-in
872×associate-*r*
870×pow1
854×prod-exp
739×div-exp
735×distribute-lft-neg-in
722×add-log-exp
708×distribute-lft-out--
603×distribute-lft-out
526×cbrt-prod
520×associate-/l*
469×log1p-expm1-u expm1-log1p-u
443×div-inv
440×associate-*l*
434×distribute-rgt-in distribute-lft-in
426×associate-/r/
425×associate-/r*
413×sqr-pow
405×cube-prod
397×cbrt-unprod
387×log-prod
370×cbrt-undiv
369×fma-neg
349×pow-exp
283×flip--
282×flip3--
263×fma-def
254×exp-prod
252×pow-to-exp
245×neg-mul-1
241×log-pow
220×flip-+
219×flip3-+
199×unswap-sqr
153×pow-prod-down
148×associate-*r/
143×exp-sum
135×unpow3 cube-mult
110×sub-neg
108×associate-/l/
103×clear-num frac-2neg
92×*-commutative
90×associate-*l/
86×frac-times
85×sqrt-div
81×diff-log
69×cos-sum
51×frac-sub
50×sum-log
49×div-sub
46×sqrt-pow1
44×pow1/2
43×cbrt-div
39×associate--l+
36×pow1/3 +-commutative
35×swap-sqr
34×pow-unpow sin-sum
31×neg-sub0
28×rem-sqrt-square
26×log-div
24×rem-log-exp unpow2
21×tan-quot
20×cos-diff neg-log
19×fma-udef rec-exp 1-exp sin-diff
18×associate-+l-
14×sin-mult pow-pow
13×pow-prod-up distribute-rgt-out
12×sin-cos-mult associate--l- acos-asin
11×rem-exp-log frac-add pow-sqr distribute-frac-neg cos-mult expm1-udef
10×rem-cube-cbrt
log1p-udef pow2 expm1-log1p pow-flip pow-plus
associate-+l+ log1p-expm1 associate-+r+
exp-diff
acos-neg inv-pow
cube-div sqrt-unprod associate-+r- associate--r- distribute-rgt-neg-out
unpow-prod-up
difference-cubes distribute-lft1-in distribute-neg-frac
e-exp-1 un-div-inv hypot-udef rem-square-sqrt hypot-def log-rec asin-acos

localize2.2s (0.3%)

bsearch509.0ms (0.1%)

end1.0ms (0.0%)