Details

sample1.2m (33.6%)

Algorithm
60×intervals
Results
22.2s334650×body80valid
8.7s21591×body1280valid
8.0s207828×body80nan
3.1s11265×body640valid
2.4s5317×body2560valid
999.0ms5117×body320valid
382.0ms16512×pre80true
303.0ms2438×body160valid
62.0ms235×body5120valid

prune51.3s (23.6%)

series49.5s (22.8%)

Calls

367 calls:

963.0ms
(cbrt (pow (exp (- (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (cbrt (- 1.0 (* x x)))))
962.0ms
(cbrt (pow (exp (- (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (cbrt (- 1.0 (* x x)))))
953.0ms
(cbrt (pow (exp (- (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (cbrt (- 1.0 (* x x)))))
934.0ms
(* (/ (/ (pow (/ 1 (sqrt a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y) (* (/ (pow (/ 1 (sqrt a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) x))
676.0ms
(pow (exp (- (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (cbrt (- 1.0 (* x x))))

rewrite17.8s (8.2%)

Algorithm
107×rewrite-expression-head
Calls

367 calls:

2.4s
(/ (* 2.0 c) (+ (- b) (- (* 2.0 (* (* (/ a (* (cbrt b) (cbrt b))) (/ (* (cbrt c) (cbrt c)) (cbrt 1))) (/ (cbrt c) (cbrt b)))) b)))
1.2s
(* (/ (/ (pow (/ 1 (sqrt a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y) (* (/ (pow (/ 1 (sqrt a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) x))
438.0ms
(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))
435.0ms
(/ (* 2.0 c) (+ (- b) (- (* 2.0 (* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))) b)))
349.0ms
(/ (+ (* (+ (* (+ (* (* (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))
Rules
7389×times-frac
5311×add-sqr-sqrt
5276×*-un-lft-identity
4118×add-cube-cbrt
2369×add-exp-log
1362×unpow-prod-down
1271×associate-*l*
1260×add-cbrt-cube
1015×prod-exp
965×sqrt-prod
865×pow1
835×cbrt-prod
741×associate-*r*
580×add-log-exp
532×div-exp
409×cbrt-unprod
383×flip-- flip3--
370×difference-of-squares
364×associate-/r*
361×distribute-lft-out--
352×associate-/l*
346×exp-sum
331×div-inv
322×distribute-rgt-neg-in
283×log-prod
262×distribute-lft-neg-in
248×distribute-lft-out
222×cbrt-undiv
221×cbrt-div pow-exp
219×pow-prod-down
217×frac-times
209×associate-/r/
195×unswap-sqr
194×associate-*l/
168×associate-*r/
162×exp-prod
158×pow-to-exp
153×distribute-rgt-in distribute-lft-in
146×log-pow
137×frac-sub
130×sqr-pow
127×pow-flip
123×*-commutative
116×flip-+ sqrt-div flip3-+
115×sub-neg
105×pow1/3
100×sqrt-pow1
94×swap-sqr
79×neg-mul-1
68×clear-num frac-2neg
65×diff-log
58×sum-log
55×associate-/l/
53×1-exp rec-exp
50×associate-+l+
44×associate-+r+
42×pow1/2
34×sin-mult
31×cos-mult
30×frac-add
27×rem-sqrt-square
26×tan-quot
24×associate--r+
23×+-commutative
20×neg-sub0
19×associate-+l- log-div
18×inv-pow sub-div neg-log
17×pow-unpow
15×rem-log-exp
14×pow-sqr cube-prod pow-prod-up
13×pow-pow associate--l+
12×un-div-inv rem-exp-log distribute-neg-frac associate--l-
pow2 pow-plus log-rec
cube-div div-sub
distribute-rgt-neg-out
exp-diff sqrt-unprod
distribute-lft-neg-out associate-+r- distribute-rgt-out--
cos-sum sqrt-undiv unpow3 distribute-neg-in cube-mult distribute-frac-neg tan-sum
unpow1/3 exp-neg distribute-rgt-out rem-cbrt-cube

regimes13.3s (6.1%)

Accuracy

Total 39.8b remaining (25.5%)

Threshold costs 5.2b (3.3%)

8.6b0%Linear.Matrix:det44 from linear-1.19.1.3
5.3b24.8%Linear.Matrix:det33 from linear-1.19.1.3
4.4b84%NMSE problem 3.2.1
4.3b83.8%The quadratic formula (r1)
3.3b78.8%Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2

simplify8.3s (3.8%)

localize2.6s (1.2%)

bsearch1.5s (0.7%)

end1.0ms (0.0%)