Date:Wednesday, February 26th, 2020
Commit:2c6cda94 on refactor-and-minor
Hostname:warfa with Racket 7.5
Seed:2020057
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

sample30.9s (27.5%)

Algorithm
73×intervals
Results
9.2s293643×body80valid
4.8s13887×body1280valid
2.5s3836×body2560valid
1.8s9375×body640valid
1.7s16879×body160valid
1.4s100584×pre80true
1.0s2203×body10240exit
724.0ms6864×body320valid
539.0ms19466×body80nan
94.0ms227×body5120valid
3.0ms100×pre80false

prune26.7s (23.8%)

Filtered
10037 candidates to 6576 candidates (65.5%)

series26.6s (23.7%)

Calls

323 calls:

408.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
402.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4))
402.0ms
(+ (* 9.0 (pow x 4.0)) (- (pow y 4)))
402.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
402.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

rewrite12.1s (10.8%)

Algorithm
116×rewrite-expression-head
Calls

323 calls:

1.2s
(+ (+ (* 333.75 (pow y 6.0)) (* (* x x) (- (- (- (* (* (* (* 11.0 x) x) y) y) (pow y 6.0)) (* 121.0 (pow y 4.0))) 2.0))) (* 5.5 (pow y 8.0)))
558.0ms
(+ (+ (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0))) (/ 77617.0 (* 2.0 33096.0)))
515.0ms
(+ (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0)))
307.0ms
(* (* (* x (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ x 1))) x)
282.0ms
(+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (* (* (cbrt (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))) (cbrt (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) (cbrt (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))))
Rules
3151×add-sqr-sqrt
3048×*-un-lft-identity
2672×times-frac
1746×add-cube-cbrt
1441×add-exp-log
1231×add-cbrt-cube
842×associate-*r*
750×associate-*r/
745×add-log-exp
722×pow1
496×difference-of-squares
447×cbrt-div
445×prod-exp
438×frac-times
427×unpow-prod-down
419×flip-- flip3--
409×associate-*l*
385×associate-/r*
369×cbrt-unprod
348×distribute-lft-out
327×flip-+ flip3-+
317×distribute-lft-out--
302×div-exp
272×associate-*l/
237×cbrt-undiv
228×sqrt-prod
213×associate-/l*
202×cbrt-prod
198×associate-/r/
183×frac-add
175×pow-prod-down
174×sqr-pow
169×div-inv
160×sum-log
153×unswap-sqr
149×cube-prod
112×sub-neg
102×frac-sub
87×diff-log
82×associate-/l/
81×*-commutative
78×exp-neg
77×sqrt-div
68×neg-sub0
67×swap-sqr
66×unpow2
65×distribute-rgt-in distribute-lft-in
64×distribute-rgt-neg-in
61×exp-diff
57×clear-num frac-2neg
50×log-prod
49×pow-exp
46×pow-unpow pow-to-exp
42×+-commutative
35×distribute-lft-neg-in pow1/3
33×associate-+l+
29×associate-+r+
26×un-div-inv sqrt-pow1
24×pow1/2
23×exp-prod rec-exp 1-exp
22×log-pow associate--l+
21×rem-sqrt-square
20×unpow3 cube-mult
18×cube-div pow-pow
17×pow-prod-up
16×log-div
15×pow-plus
14×div-sub
13×pow-sqr neg-mul-1
11×pow2 associate--r+
10×associate--l-
distribute-rgt-out-- neg-log sum-cubes
rem-cube-cbrt distribute-lft-neg-out
inv-pow pow-flip rem-cbrt-cube rem-log-exp
rem-exp-log exp-sum
associate-+r- distribute-frac-neg
unsub-neg distribute-rgt-out associate--r- associate-+l-
sqrt-undiv distribute-lft1-in pow3 sub-div exp-to-pow

simplify10.3s (9.2%)

Algorithm
186×egg-herbie

regimes3.3s (3.0%)

Accuracy

Total 33.1b remaining (7.8%)

Threshold costs 4.7b (1.1%)

11.3b52.7%Compound Interest
4.8b76.8%Kahan p9 Example
4.3b83.8%The quadratic formula (r1)
3.6b87%The quadratic formula (r2)
3.0b4.5%Complex division, real part

localize1.5s (1.3%)

bsearch852.0ms (0.8%)

end1.0ms (0.0%)