Details

series11.0m (58.7%)

Calls

328 calls:

1.3s
(* (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))) (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))))
1.2s
(fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x))))
1.1s
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
1.1s
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
976.0ms
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))

simplify3.7m (19.8%)

sample1.9m (10.3%)

Algorithm
59×intervals
Results
33.9s262548×body80valid
24.3s208169×body80nan
18.7s21255×body1280valid
7.3s11110×body640valid
4.3s5314×body2560valid
3.3s5236×body320valid
1.5s16512×pre80true
742.0ms2496×body160valid
236.0ms225×body5120valid

prune1.4m (7.6%)

regimes21.2s (1.9%)

Accuracy

Total 32.7b remaining (25.8%)

Threshold costs 3.8b (3%)

5.8b24.8%Linear.Matrix:det33 from linear-1.19.1.3
4.8b85.5%The quadratic formula (r1)
4.7b0%cos(2*x)/(cos^2(x)*sin^2(x))
3.9b86.6%NMSE problem 3.2.1
2.2b86.1%jeff quadratic root 2

rewrite12.3s (1.1%)

Algorithm
100×rewrite-expression-head
Calls

330 calls:

459.0ms
(cbrt (* (* (cbrt (- (* z y) (* t a))) (cbrt (- (* z y) (* t a)))) (cbrt (- (* z y) (* t a)))))
368.0ms
(/ (- (* (* x x) (* (* x x) (* x x))) (* (* 1.0 1.0) 1.0)) (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0))))
319.0ms
(* (pow cos (/ 2.0 2)) (* (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2)))) (* x (pow sin (/ 2.0 2)))))
267.0ms
(* (* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) (cbrt z)) (/ x (cbrt z)))) (/ 1 (cbrt z)))
262.0ms
(* (* (pow cos (/ 2.0 2)) (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))) (* x (pow sin (/ 2.0 2))))
Rules
6019×add-exp-log
4375×prod-exp
3523×add-sqr-sqrt
3484×*-un-lft-identity
3375×times-frac
2946×add-cube-cbrt
2454×pow1
1565×add-cbrt-cube
1031×prod-diff
907×div-exp
897×pow-exp pow-to-exp
764×pow-prod-up
754×cbrt-unprod
553×pow-prod-down
479×distribute-rgt-neg-in
475×associate-*r*
467×add-log-exp
456×distribute-lft-neg-in
434×sqrt-prod
407×cbrt-prod
396×associate-*l*
331×expm1-log1p-u log1p-expm1-u
322×pow-sqr
316×cbrt-undiv
306×associate-/r*
292×pow-plus
230×associate-/l*
216×div-inv
210×fma-neg
206×pow2
191×associate-*l/
187×associate-+r+
164×distribute-lft-out--
161×cbrt-div
157×flip3-- flip--
148×neg-mul-1
143×difference-of-squares
128×distribute-lft-out
122×associate-/r/
118×unswap-sqr
109×1-exp
108×tan-quot
103×frac-times
96×pow1/3
94×*-commutative
93×associate-*r/
64×fma-def
61×distribute-rgt-in distribute-lft-in
60×exp-prod
59×frac-2neg rec-exp clear-num
58×sqrt-div flip-+ flip3-+
57×frac-sub
54×sub-neg
50×diff-log
49×fma-udef
43×swap-sqr
39×sqrt-pow1
38×pow1/2
35×associate-/l/
34×exp-sum unpow-prod-down
29×log-prod
28×log-pow
27×rem-sqrt-square
26×neg-sub0
22×sin-mult
20×sum-log
19×neg-log
17×distribute-neg-in
16×cos-mult rem-exp-log frac-add
12×exp-diff sqr-pow
11×sub-div div-sub
10×associate--l-
exp-neg +-commutative
associate-+l+ associate-+l-
un-div-inv associate--l+
cube-unmult pow3 associate--r+
pow-flip
associate-+r- pow-unpow difference-cubes inv-pow distribute-neg-frac log-div
distribute-frac-neg
expm1-log1p expm1-udef log1p-expm1 sqrt-unprod pow-pow tan-sum exp-to-pow cos-sum log1p-udef
distribute-lft-neg-out rem-square-sqrt rem-cbrt-cube

localize6.4s (0.6%)

bsearch1.7s (0.2%)

end1.0ms (0.0%)