Details

simplify44.7m (54.2%)

series16.3m (19.8%)

Calls

2273 calls:

20.9s
(* (cbrt (fma y (- (log z) t) (* (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (- (log 1.0) (* 1.0 z))) b) a))) (cbrt (fma y (- (log z) t) (* (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (- (log 1.0) (* 1.0 z))) b) a))))
10.8s
(fma b c (- (* z (* (* t x) (* y 18.0))) (fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))))
3.7s
(* (cbrt (fma (log y) (+ 0.5 y) (- z y))) (cbrt (fma (log y) (+ 0.5 y) (- z y))))
2.1s
(/ (/ (fma (* (- (sin x) (/ (sin y) 16.0)) (sqrt 2.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) 3.0) (fma (cos y) (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0) (fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) 1.0)))
2.0s
(/ (/ (fma (* (- (sin x) (/ (sin y) 16.0)) (sqrt 2.0)) (* (- (cos x) (cos y)) (- (sin y) (* 0.0625 (sin x)))) 2.0) 3.0) (fma (cos y) (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0) (fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) 1.0)))

prune10.3m (12.4%)

sample7.5m (9.1%)

Algorithm
538×intervals
Results
3.0m2577519×body80valid
1.0m537826×body80nan
39.0s46444×body1280valid
24.0s44586×body640valid
10.8s25567×body320valid
6.7s5711×body2560valid
3.8s13639×body160valid
1.6s1543×body10240exit
448.0ms655×body640nan
273.0ms479×body1280nan
107.0ms417×body320nan
92.0ms34×body5120valid
31.0ms239×body160nan

regimes1.8m (2.2%)

Accuracy

Total 194.1b remaining (36.8%)

Threshold costs 24.0b (4.5%)

12.9b58.4%Diagrams.TwoD.Arc:arcBetween from diagrams-lib-1.3.0.3
11.3b49.6%AI.Clustering.Hierarchical.Internal:ward from clustering-0.2.1
9.2b-3%Data.Colour.Matrix:determinant from colour-2.3.3, A
7.9b13.7%Numeric.Signal:interpolate from hsignal-0.2.7.1
7.3b12.8%Graphics.Rendering.Chart.Axis.Types:invLinMap from Chart-1.5.3

rewrite1.3m (1.6%)

Algorithm
851×rewrite-expression-head
Calls

2275 calls:

11.4s
(* (/ (/ (sqrt 6.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0))) (/ (/ (sqrt 6.0) (/ 1 (+ (sqrt x) (sqrt 1.0)))) (+ (sqrt x) (sqrt 1.0))))
975.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
750.0ms
(* x (- (/ (/ y (cbrt z)) (* (cbrt z) (cbrt z))) (/ t (- 1.0 z))))
580.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
513.0ms
(* (- (/ x (- z y)) (/ 1 (/ (- z y) y))) t)
Rules
94849×times-frac
72209×*-un-lft-identity
68585×add-sqr-sqrt
48444×add-cube-cbrt
20533×sqrt-prod
13768×prod-diff
9785×add-exp-log
7868×difference-of-squares
7473×add-cbrt-cube
6663×cbrt-prod
6549×distribute-lft-out--
5977×pow1
5451×distribute-lft-out
5337×associate-*r*
4696×associate-*l*
3870×div-inv
3777×associate-/r*
3014×associate-/r/
2959×add-log-exp
2812×associate-/l*
2702×div-exp
2626×distribute-rgt-in distribute-lft-in
2459×prod-exp
2283×expm1-log1p-u
2281×log1p-expm1-u
1979×cbrt-unprod
1839×flip3-- flip--
1690×cbrt-undiv
1624×pow-prod-down
1368×cbrt-div
1282×unswap-sqr
1073×log-prod
1021×associate-*l/
978×flip-+ flip3-+
973×fma-def
817×pow1/3
806×associate-*r/
798×frac-times
779×fma-neg
735×swap-sqr
548×*-commutative
498×frac-2neg clear-num
491×sqrt-pow1
446×1-exp
440×rec-exp
396×associate-+r+
362×sub-neg
358×associate-/l/
347×associate--l+
330×pow-prod-up
328×fma-udef
319×log-pow
279×associate-+l+
269×sqrt-div
232×pow1/2
229×pow-sqr
224×diff-log
204×associate--r+
185×exp-sum
148×sum-log
133×pow-plus
117×div-sub
103×pow2
98×+-commutative exp-prod
83×pow-flip
79×rem-sqrt-square
74×inv-pow
72×frac-sub cube-unmult
54×frac-add
51×un-div-inv
50×log-div
49×rem-log-exp
45×distribute-rgt-out--
39×difference-cubes
27×unpow-prod-down distribute-rgt-out
23×cos-sum
21×pow-exp pow3 sub-div sinh-def
19×associate-+r- distribute-rgt-neg-out sqrt-unprod associate-+l-
17×expm1-udef pow-unpow rem-exp-log
15×expm1-log1p
14×log1p-udef
13×distribute-lft-neg-out log1p-expm1 unpow-prod-up
12×unsub-neg pow-pow rem-square-sqrt
11×tanh-def hypot-def
10×pow-to-exp count-2
associate--l- sqr-pow associate--r-
distribute-rgt-neg-in rem-cbrt-cube distribute-lft-neg-in
exp-diff unpow1/3
distribute-lft1-in distribute-rgt1-in cos-mult exp-to-pow diff-cos
cosh-def
neg-mul-1 sqr-cos
neg-sub0 sqrt-undiv exp-neg cos-diff
tan-quot sin-mult e-exp-1
pow-sub asin-acos acos-asin

localize26.3s (0.5%)

bsearch5.3s (0.1%)

end7.0ms (0.0%)