Details

sample1.8m (47.0%)

Algorithm
56×intervals
16×halfpoints
Results
24.0s67365×body1280valid
16.9s17378×body2560valid
8.2s42313×body640valid
3.9s13130×body10240exit
2.8s93461×body80valid
2.5s20779×body320valid
1.6s62665×body80nan
828.0ms10432×body160valid
745.0ms47482×pre80true
286.0ms632×body1280nan
211.0ms680×body640nan
129.0ms473×body5120valid
68.0ms372×body320nan
23.0ms200×body160nan

series45.8s (19.4%)

Calls

416 calls:

1.2s
(cbrt (* (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))))
1.2s
(cbrt (* (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))))
1.2s
(cbrt (* (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))))
1.2s
(* (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))
955.0ms
(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))

prune39.5s (16.8%)

rewrite22.6s (9.6%)

Algorithm
124×rewrite-expression-head
Calls

416 calls:

1.8s
(- (pow eps 2) (/ (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)) (- (/ (pow eps 2) (pow 1.0 2)) eps)))
1.4s
(/ (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)) (- (/ (pow eps 2) (pow 1.0 2)) eps))
816.0ms
(/ (* (cbrt (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2))) (cbrt (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)))) (+ (/ eps (sqrt (pow 1.0 2))) (sqrt eps)))
662.0ms
(- 1.0 (- (+ 1.0 (+ (/ 0.16666666666666669 (pow n 2)) (* 1.0 (log (/ 1 n))))) (/ 0.5 n)))
616.0ms
(- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)
Rules
13339×add-sqr-sqrt
11904×times-frac
5989×*-un-lft-identity
3595×difference-of-squares
3407×add-cube-cbrt
2899×sqrt-prod
2589×unpow-prod-down
2133×sqr-pow
1558×add-exp-log
1434×unpow2
1102×add-cbrt-cube
931×associate-*r*
818×add-log-exp
813×associate-*l*
734×pow1
719×distribute-lft-out
644×distribute-lft-out--
556×associate-/l*
470×associate-/r*
410×cbrt-prod
397×div-exp
391×prod-exp
359×cube-prod
304×unswap-sqr
264×associate-*l/
259×flip-- flip3--
232×flip-+ flip3-+
230×cbrt-undiv
221×div-inv
215×cbrt-unprod
213×cbrt-div
200×associate-/r/
168×associate-*r/
161×sqrt-pow1
156×associate-/l/
146×frac-times
141×log-prod diff-log
128×sub-neg
126×frac-add
118×sqrt-div
107×swap-sqr
101×pow-to-exp pow-exp
97×pow-prod-down
85×clear-num frac-2neg
83×distribute-rgt-neg-in
81×pow1/2
78×log-pow
77×*-commutative
67×sum-log
66×pow1/3
59×1-exp
54×exp-prod
53×rec-exp
41×pow-unpow
37×distribute-rgt-in +-commutative distribute-lft-in
34×pow-prod-up
31×rem-sqrt-square
30×pow-flip
29×tan-quot
28×associate-+l+
27×exp-sum frac-sub exp-to-pow
26×pow-sqr
25×difference-cubes
24×complex-mul-def
23×div-sub
22×associate--l+
21×associate--r+
20×log-div
18×neg-sub0
17×associate--l-
15×unpow3 cube-mult
14×neg-log inv-pow
13×rem-log-exp
11×pow-pow rem-exp-log
10×pow-div associate-+l-
pow2 pow-plus sin-mult cos-mult
sqrt-unprod
rem-cube-cbrt *.c-commutative difference-of-sqr-1 associate-+r+
cube-div exp-diff un-div-inv +.c-commutative complex-add-def associate-+r-
associate--r- sqr-cos rem-square-sqrt distribute-rgt-out distribute-rgt-neg-out
associate-+l+.c exp-neg sub-div associate-*l*.c tan-sum cos-sum sin-sum log-rec
sub0-neg sin-cos-mult diff-atan distribute-rgt-out-- diff-cos unsub-neg distribute-frac-neg frac-2neg.c diff-sin

simplify10.8s (4.6%)

regimes3.0s (1.3%)

Accuracy

Total 33.0b remaining (14.7%)

Threshold costs 6.2b (2.8%)

4.4b84%quad2m (problem 3.2.1, negative)
4.4b84.8%quadm (p42, negative)
4.4b83.7%quadp (p42, positive)
4.3b82.5%quad2p (problem 3.2.1, positive)
3.2b0%expq3 (problem 3.4.2)

localize2.1s (0.9%)

bsearch1.3s (0.5%)

end1.0ms (0.0%)