Details

simplify5.1m (46.3%)

sample3.0m (27.0%)

Algorithm
60×intervals
Results
1.2m337077×body80valid
25.9s208047×body80nan
19.1s21317×body1280valid
8.7s11002×body640valid
4.4s5286×body2560valid
2.6s5229×body320valid
727.0ms16512×pre80true
689.0ms2463×body160valid
105.0ms251×body5120valid

prune59.3s (9.0%)

series55.1s (8.3%)

Calls

342 calls:

798.0ms
(/ (* (cbrt (- a x)) (cbrt (- a x))) (/ (- (+ t 1.0) z) (- y z)))
722.0ms
(cbrt z)
669.0ms
(/ (+ (* (+ (* (+ (* (* (* (* (cbrt (cbrt (* (+ (* x y) z) y))) (cbrt (cbrt (* (+ (* x y) z) y)))) (cbrt (cbrt (* (+ (* x y) z) y)))) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
642.0ms
(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
628.0ms
(* (/ (- y z) (- (+ t 1.0) z)) (- a x))

rewrite29.3s (4.4%)

Algorithm
104×rewrite-expression-head
Calls

342 calls:

3.1s
(/ (+ (* (+ (* (+ (* (* (* (* (cbrt (cbrt (* (+ (* x y) z) y))) (cbrt (cbrt (* (+ (* x y) z) y)))) (cbrt (cbrt (* (+ (* x y) z) y)))) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
2.0s
(* (/ 1 (* (* (cbrt (- (+ t 1.0) z)) (cbrt (- (+ t 1.0) z))) (/ (cbrt (- (+ t 1.0) z)) (- y z)))) (- a x))
1.4s
(/ (* 2.0 c) (- (* 2.0 (* (* (/ a (* (cbrt b) (cbrt b))) (/ (* (cbrt c) (cbrt c)) (cbrt (sqrt b)))) (/ (cbrt c) (cbrt (sqrt b))))) (* 2 b)))
1.4s
(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (- a 0.5) (log (cbrt t))))
855.0ms
(* (pow cos (/ 2.0 2)) (* (pow cos (/ 2.0 2)) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x)))
Rules
5264×add-exp-log
4030×times-frac
3891×add-sqr-sqrt
3884×*-un-lft-identity
3785×prod-exp
2603×add-cube-cbrt
1420×add-cbrt-cube
936×pow-exp
934×pow-to-exp
832×div-exp
741×pow1
657×associate-*r*
605×associate-*l*
540×add-log-exp
493×cbrt-unprod
457×distribute-lft-out--
449×difference-of-squares
433×distribute-rgt-neg-in
398×distribute-lft-neg-in
396×associate-/r*
391×cbrt-prod
312×flip-- sqrt-prod flip3--
285×associate-/l*
270×cbrt-undiv
238×unpow-prod-down
226×distribute-lft-out
210×div-inv
178×associate-*r/
177×pow-prod-down
176×associate-*l/ frac-times
166×unswap-sqr
160×exp-prod
153×associate-/r/
142×sub-neg
132×cube-prod
121×log-prod
118×neg-mul-1
116×*-commutative
113×frac-sub
110×cbrt-div
106×distribute-rgt-in distribute-lft-in
105×flip-+ flip3-+
97×log-pow
74×tan-quot
73×clear-num frac-2neg
70×diff-log
64×associate-+r+
54×associate-/l/
52×sqr-pow
49×sum-log
48×pow-unpow sqrt-div
47×pow1/3
35×associate-+l+
34×frac-add
29×1-exp
28×rec-exp log-div
26×cos-mult
25×sin-mult
24×pow1/2 rem-sqrt-square sqrt-pow1
23×exp-sum associate--l+
22×unpow-prod-up
20×+-commutative
19×associate-+l-
15×associate--r+
14×sub-div
13×pow-pow neg-sub0
12×div-sub distribute-neg-frac
10×pow-sub pow-flip
rem-exp-log
neg-log
exp-diff distribute-frac-neg swap-sqr associate--l-
inv-pow pow-prod-up pow-sqr
rem-log-exp associate-+r-
exp-neg distribute-rgt-neg-out
distribute-rgt-out-- pow-plus
cube-div rem-cube-cbrt sqrt-undiv unpow3 distribute-neg-in pow2 cube-mult tan-sum cos-sum
un-div-inv sqrt-unprod associate--r- acos-asin cube-neg log-rec rem-cbrt-cube

regimes20.1s (3.0%)

Accuracy

Total 46.5b remaining (28.4%)

Threshold costs 3.9b (2.4%)

10.6b-18.8%Linear.Matrix:det44 from linear-1.19.1.3
7.0b29.7%Linear.Matrix:det33 from linear-1.19.1.3
6.1b79.1%The quadratic formula (r1)
5.5b77.2%NMSE problem 3.2.1
2.4b-21.7%Numeric.SpecFunctions:incompleteBetaWorker from math-functions-0.1.5.2

bsearch8.1s (1.2%)

localize4.4s (0.7%)

end1.0ms (0.0%)