Details

sample1.2m (35.2%)

Algorithm
60×intervals
Results
24.8s335799×body80valid
8.7s21558×body1280valid
8.5s206874×body80nan
3.1s10743×body640valid
2.4s5317×body2560valid
976.0ms5140×body320valid
396.0ms16512×pre80true
342.0ms2526×body160valid
56.0ms212×body5120valid

prune49.8s (25.2%)

series42.5s (21.6%)

Calls

350 calls:

1.2s
(/ (- (* (+ (tan y) (tan z)) (/ (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (- 1 (* (tan y) (tan z))))) (* (tan a) (tan a))) (+ (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
1.2s
(/ (- (* (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (* (tan a) (tan a))) (+ (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
637.0ms
(/ (* (* x (/ (pow (/ (* (cbrt 1) (cbrt 1)) (sqrt a)) 1.0) (* (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (/ (pow (/ (cbrt 1) (sqrt a)) 1.0) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)
470.0ms
(cbrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x)))
469.0ms
(* (/ (- y z) (- (+ t 1.0) z)) (- a x))

regimes12.8s (6.5%)

Accuracy

Total 43.3b remaining (27.2%)

Threshold costs 3.1b (1.9%)

11.1b-22%Linear.Matrix:det44 from linear-1.19.1.3
6.0b12.7%Linear.Matrix:det33 from linear-1.19.1.3
5.2b81.4%The quadratic formula (r1)
3.0b88.6%NMSE problem 3.2.1
2.6b20.4%Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1

simplify8.9s (4.5%)

Algorithm
163×egg-herbie

rewrite7.9s (4.0%)

Algorithm
103×rewrite-expression-head
Calls

350 calls:

306.0ms
(/ (* (* x (/ (pow (/ (* (cbrt 1) (cbrt 1)) (sqrt a)) 1.0) (* (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (/ (pow (/ (cbrt 1) (sqrt a)) 1.0) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)
302.0ms
(/ y (* (* x (/ (pow (/ (* (cbrt 1) (cbrt 1)) (sqrt a)) 1.0) (* (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (/ (pow (/ (cbrt 1) (sqrt a)) 1.0) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))))
191.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
145.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
142.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
Rules
9662×times-frac
6751×*-un-lft-identity
6600×add-sqr-sqrt
5085×add-cube-cbrt
2643×add-exp-log
2450×associate-*r/
2324×cbrt-div
2063×frac-times
2029×cbrt-prod
1189×add-cbrt-cube
1129×prod-exp
1030×associate-*l/
920×flip3-- flip--
907×distribute-rgt-neg-in
850×distribute-lft-neg-in
788×unpow-prod-down
784×associate-*r*
780×pow1
723×frac-add
708×div-exp
682×cube-prod
617×associate-/l*
601×flip-+ flip3-+
576×difference-of-squares
572×associate-*l*
532×add-log-exp
484×distribute-lft-out--
371×cbrt-unprod
355×div-inv
314×associate-/r*
310×un-div-inv
301×distribute-lft-out
282×sqrt-prod
256×pow-exp
248×neg-mul-1
223×cbrt-undiv
202×swap-sqr
198×frac-sub
187×pow-prod-down
182×pow-to-exp
159×unswap-sqr
144×distribute-rgt-in distribute-lft-in
134×associate-/r/
133×log-prod
120×*-commutative
117×sub-neg
98×pow1/3
91×exp-prod
90×associate-/l/
88×tan-quot
64×clear-num frac-2neg
56×sum-log
53×log-pow sqrt-div
44×associate-+l+ diff-log
42×associate-+r+
40×sqr-pow
35×exp-sum
34×rec-exp 1-exp
32×pow-pow
28×sin-mult
27×associate--r+
24×pow1/2 +-commutative cos-mult sqrt-pow1
23×rem-sqrt-square
22×pow-unpow neg-sub0
19×neg-log unpow3 cube-mult
18×associate--l+
16×inv-pow pow-flip div-sub associate-+l-
15×rem-exp-log
13×sub-div
12×pow-prod-up distribute-neg-in pow-sqr distribute-neg-frac
10×distribute-lft-neg-out unpow-prod-up
pow2 pow-plus log-rec
cube-div exp-diff distribute-frac-neg
pow-sub
rem-cube-cbrt exp-neg log-div
distribute-rgt-out-- rem-cbrt-cube rem-log-exp associate-+r- associate--l-
cos-sum tan-sum distribute-rgt-neg-out
sqrt-unprod exp-to-pow unsub-neg cube-neg

bsearch3.0s (1.5%)

localize2.8s (1.4%)

end0.0ms (0.0%)