Date:Thursday, March 19th, 2020
Commit:2b8af9a1 on simpler-alts
Hostname:warfa with Racket 7.5
Seed:2020079
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

sample7.1m (79.5%)

Algorithm
78×intervals
Results
5.8m41111×body10240exit
34.0s43455×body1280valid
11.2s30984×body640valid
7.1s203747×body80valid
4.9s151838×body80nan
4.7s27734×body320valid
3.3s183485×pre80true
3.1s36036×body160valid
785.0ms3044×body2560valid
366.0ms7930×body160nan
230.0ms16342×pre80false
80.0ms230×body5120valid

prune40.2s (7.5%)

Filtered
18400 candidates to 10892 candidates (59.2%)

series39.1s (7.3%)

Calls

471 calls:

581.0ms
(/ (* (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)))
507.0ms
(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
437.0ms
(* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (- phi1 phi2)) R)
426.0ms
(cbrt (cbrt g))
385.0ms
(* (sqrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (expm1 (log1p (sqrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))))

simplify13.2s (2.5%)

Algorithm
222×egg-herbie

regimes10.4s (1.9%)

Accuracy

Total 34.0b remaining (26%)

Threshold costs 5.0b (3.8%)

5.6b58.9%Cubic critical, narrow range
5.1b82.2%Quadratic roots, full range
5.0b82.3%Cubic critical
4.7b31.4%Cubic critical, medium range
3.5b0%Cubic critical, wide range

rewrite4.5s (0.8%)

Algorithm
144×rewrite-expression-head
Calls

471 calls:

92.0ms
(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)
60.0ms
(* (/ 4.0 (/ 2.0 (* a c))) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) a))
56.0ms
(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))
55.0ms
(- (log (exp (/ x (+ x 1.0)))) (/ (+ x 1.0) (- x 1.0)))
41.0ms
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))
Rules
9052×*-un-lft-identity
7454×add-sqr-sqrt
7351×times-frac
5740×add-cube-cbrt
3366×prod-diff
2385×add-exp-log
1877×sqrt-prod
1620×add-cbrt-cube
1048×associate-*r*
1037×distribute-lft-out
920×pow1
762×prod-exp
704×add-log-exp
701×cbrt-prod
694×div-exp
655×unpow-prod-down
648×difference-of-squares
613×distribute-lft-out--
611×log-pow
564×associate-/r/
550×exp-prod
506×associate-/l*
480×cube-prod
474×log1p-expm1-u
471×expm1-log1p-u
450×fma-neg
447×distribute-rgt-neg-in
423×div-inv
404×associate-*l*
382×cbrt-unprod
372×cbrt-undiv
354×associate-/r*
320×flip-+ pow-exp
319×flip3-+
306×flip--
305×flip3--
304×distribute-lft-neg-in
262×fma-def
256×distribute-rgt-in distribute-lft-in
231×pow-to-exp
202×unswap-sqr
157×associate-*r/
148×sqrt-div
147×sqr-pow
144×pow-prod-down
132×log-prod
122×frac-times
116×associate-*l/
115×associate-/l/
112×cbrt-div
102×neg-mul-1
97×clear-num *-commutative frac-2neg
87×sub-neg
75×unpow3 cube-mult
68×diff-log
67×cos-sum
66×pow1/3
64×pow-unpow
59×log-div
54×sum-log
47×associate--l+
44×frac-sub
42×sqrt-pow1
40×pow1/2 swap-sqr div-sub
38×+-commutative
34×sin-sum
31×neg-sub0
30×rem-sqrt-square
29×pow-pow
26×fma-udef unpow2
23×pow-prod-up
22×neg-log associate-+l- 1-exp
21×rem-cube-cbrt
20×rem-log-exp
19×sin-diff
18×cos-diff rec-exp tan-quot
16×sin-mult
15×pow-sqr exp-sum
14×associate--l- frac-add pow-plus associate--r+
12×cube-div distribute-rgt-out cos-mult
10×pow2
acos-asin
sin-cos-mult
associate-+r+ distribute-frac-neg distribute-rgt-neg-out
asin-acos rem-cbrt-cube expm1-udef
rem-exp-log inv-pow expm1-log1p pow-flip
associate-+l+ associate-+r- associate--r-
exp-diff acos-neg unpow-prod-up
un-div-inv distribute-lft1-in unpow1/3 hypot-udef hypot-def sub-div sqrt-unprod distribute-rgt-out--
e-exp-1 sin-neg unsub-neg log1p-udef pow3 distribute-lft-neg-out log1p-expm1 sum-cubes rem-square-sqrt distribute-neg-frac

localize2.3s (0.4%)

bsearch601.0ms (0.1%)

end1.0ms (0.0%)