Date:Tuesday, April 14th, 2020
Commit:681051fe on overflow-detection-both-ends
Hostname:warfa with Racket 7.5
Seed:2020105
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

sample1.3m (40.6%)

Algorithm
60×intervals
Results
29.4s335011×body80valid
11.3s208635×body80nan
8.0s21348×body1280valid
3.2s5208×body2560valid
2.9s11021×body640valid
957.0ms5091×body320valid
665.0ms16512×pre80true
360.0ms2631×body160valid
73.0ms232×body5120valid

series41.9s (22.1%)

Calls

341 calls:

3.3s
(fma (- (* c t) (* i y)) j (- (+ (* x (fma y z (- (* a t)))) (* x (fma (- a) t (* a t)))) (* b (- (* c z) (* i a)))))
644.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))))
553.0ms
(/ (* (* x (/ (pow (/ 1 (sqrt a)) 1.0) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) (/ (pow (/ 1 (sqrt a)) 1.0) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) y)
546.0ms
(/ (* (- x) (/ (* (pow (/ 1 (sqrt a)) 1.0) (pow (/ 1 (sqrt a)) 1.0)) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) (- y))
540.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))

prune39.4s (20.8%)

Filtered
12685 candidates to 7962 candidates (62.8%)

regimes14.4s (7.6%)

Accuracy

Total 45.7b remaining (28.8%)

Threshold costs 4.6b (2.9%)

12.9b-24.6%Linear.Matrix:det44 from linear-1.19.1.3
7.4b1.8%Linear.Matrix:det33 from linear-1.19.1.3
4.4b0%sqrt sqr
4.4b84.6%NMSE problem 3.2.1
3.2b88.7%The quadratic formula (r1)

simplify8.6s (4.6%)

Algorithm
164×egg-herbie

rewrite3.1s (1.6%)

Algorithm
104×rewrite-expression-head
Calls

341 calls:

48.0ms
(/ (* (* x (/ (pow (/ 1 (sqrt a)) 1.0) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) (/ (pow (/ 1 (sqrt a)) 1.0) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) y)
37.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))
31.0ms
(* (cbrt (/ 1 (- (+ t 1.0) z))) (cbrt (/ 1 (- (+ t 1.0) z))))
30.0ms
(* (pow (/ 1 (sqrt a)) 1.0) (pow (/ 1 (sqrt a)) 1.0))
28.0ms
(/ (/ 1 a) (/ 1 (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
Rules
4621×*-un-lft-identity
4202×add-sqr-sqrt
3837×times-frac
3094×add-cube-cbrt
2699×add-exp-log
1219×prod-exp
1198×add-cbrt-cube
1040×prod-diff
810×cbrt-prod
800×pow1
744×div-exp
613×distribute-rgt-neg-in
573×associate-*r*
539×add-log-exp
511×distribute-lft-neg-in
495×sqrt-prod
485×associate-*l*
414×unpow-prod-down
412×distribute-lft-out--
381×cbrt-unprod
380×distribute-lft-out
343×difference-of-squares
342×log1p-expm1-u
341×expm1-log1p-u
333×associate-/r*
308×pow-exp
270×flip-- flip3--
252×div-inv
233×associate-/l* distribute-rgt-in distribute-lft-in
212×fma-neg
207×cbrt-undiv
195×pow-prod-down
180×pow-to-exp
179×unswap-sqr
177×associate-/r/
155×associate--r+
146×neg-mul-1 1-exp
132×cube-prod
126×fma-def
125×associate-*l/
112×associate-+r+
109×sub-neg
108×associate-*r/
107×*-commutative
102×swap-sqr
97×frac-times
96×rec-exp
91×log-prod
79×flip-+ flip3-+
69×log-pow
68×diff-log frac-sub
66×sqrt-div
64×frac-2neg clear-num
61×associate-+l+
56×associate-/l/ fma-udef pow1/3
55×exp-sum
45×sqr-pow
43×sum-log
35×cbrt-div
34×sqrt-pow1
33×pow1/2
29×exp-prod tan-quot
26×pow-unpow rem-sqrt-square neg-sub0 sin-mult
25×distribute-neg-in
23×associate--l+
21×pow-flip associate-+l-
20×unpow-prod-up cos-mult
19×+-commutative neg-log
14×associate--l-
12×frac-add
11×inv-pow sub-div
10×div-sub
rem-exp-log pow-pow distribute-neg-frac
pow-prod-up pow-sqr log-div
distribute-frac-neg
un-div-inv pow2
exp-diff unpow2 pow-plus
associate-+r- distribute-lft-neg-out
cube-div rem-cube-cbrt unpow3 log1p-udef exp-neg log1p-expm1 cube-mult tan-sum cos-sum expm1-udef
pow-neg sqrt-unprod associate--r- pow-sub expm1-log1p cube-neg exp-to-pow rem-log-exp rem-cbrt-cube

bsearch2.7s (1.4%)

localize2.5s (1.3%)

end0.0ms (0.0%)