Details

series11.0m (59.3%)

Calls

343 calls:

1.8s
(* (/ (- y z) (- (+ t 1.0) z)) (+ (- x) (* (cbrt x) (* (cbrt x) (cbrt x)))))
900.0ms
(fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x))))
819.0ms
(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))
785.0ms
(/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))
774.0ms
(* (/ (- y z) (- (+ t 1.0) z)) (- a x))

simplify3.6m (19.3%)

sample2.1m (11.6%)

Algorithm
59×intervals
Results
36.0s263510×body80valid
25.2s207315×body80nan
18.5s21517×body1280valid
8.2s11018×body640valid
5.3s5258×body2560valid
2.8s5061×body320valid
773.0ms16512×pre80true
697.0ms2620×body160valid
93.0ms218×body5120valid

prune1.1m (6.0%)

rewrite25.3s (2.3%)

Algorithm
105×rewrite-expression-head
Calls

345 calls:

6.2s
(/ (* 2.0 c) (- (- (* 2.0 (* (* (/ a (* (cbrt b) (cbrt b))) (/ (* (cbrt c) (cbrt c)) (* (cbrt (cbrt b)) (cbrt (cbrt b))))) (/ (cbrt c) (cbrt (cbrt b))))) b) b))
1.1s
(/ (+ (- b) (- (* 2.0 (* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))) b)) (* 2.0 a))
960.0ms
(/ (* 2.0 c) (- (- (* 2.0 (* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))) b) b))
729.0ms
(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))
436.0ms
(/ (+ (* (+ (* (* (fma (fma x y z) y 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
Rules
6235×times-frac
5760×*-un-lft-identity
5697×add-sqr-sqrt
4611×add-cube-cbrt
2771×add-exp-log
1869×prod-diff
1565×prod-exp
1257×add-cbrt-cube
785×pow1
575×associate-*r*
530×distribute-rgt-neg-in
504×add-log-exp
497×distribute-lft-neg-in
484×associate-*l*
465×div-exp
446×distribute-rgt-in distribute-lft-in
409×div-inv
408×cbrt-unprod
405×sqrt-prod
401×associate-/r*
382×associate--l+
370×cbrt-prod
369×difference-of-squares
349×associate-/l*
347×expm1-log1p-u
346×log1p-expm1-u
323×distribute-lft-out
314×pow-exp
310×pow-to-exp
299×distribute-lft-out--
277×associate-+r+
250×fma-neg
223×cbrt-undiv
202×log-prod
192×associate-/r/
190×unpow-prod-down
187×pow-prod-down
170×exp-prod
155×flip-- flip3--
152×neg-mul-1
149×unswap-sqr
105×unpow-prod-up
99×*-commutative
96×fma-def
92×sub-neg
85×associate-*r/
83×sqr-pow
79×log-pow
72×cube-prod
71×frac-2neg clear-num
68×flip-+ flip3-+
62×associate-+l+
55×associate-/l/
54×diff-log pow1/3
52×associate-*l/
43×fma-udef
41×pow-unpow
39×1-exp
38×sqrt-div
37×cos-mult
36×exp-sum
34×rec-exp sum-log
33×tan-quot
32×swap-sqr frac-times
27×pow-pow
24×neg-sub0
21×pow1/2 sqrt-pow1
20×log-div
19×rem-sqrt-square div-sub
18×associate-+l-
17×+-commutative sin-mult
16×frac-sub
14×rem-exp-log
13×pow-sub
12×distribute-neg-frac
11×frac-add
10×sub-div distribute-frac-neg pow-neg
un-div-inv
inv-pow associate-+r- pow-flip
exp-diff neg-log cbrt-div rem-log-exp
associate--l- pow-sqr pow-prod-up
difference-cubes log1p-expm1
log1p-udef pow2 pow-plus associate--r+
cos-sum expm1-def distribute-lft-neg-out exp-neg expm1-log1p tan-sum distribute-rgt-out-- expm1-udef
sub0-neg sqrt-unprod difference-of-sqr-1 unsub-neg distribute-rgt-out distribute-rgt-neg-out

regimes11.5s (1.0%)

Accuracy

Total 33.6b remaining (25.3%)

Threshold costs 3.2b (2.4%)

6.8b7.9%Linear.Matrix:det33 from linear-1.19.1.3
4.8b82.3%NMSE problem 3.2.1
3.7b13.1%Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1
3.5b88%The quadratic formula (r1)
2.3b84.6%jeff quadratic root 2

localize4.2s (0.4%)

bsearch2.7s (0.2%)

end1.0ms (0.0%)