Details

sample31.5s (26.2%)

Algorithm
73×intervals
Results
9.5s293786×body80valid
4.7s13736×body1280valid
2.5s3865×body2560valid
1.8s9401×body640valid
1.8s16792×body160valid
1.5s100639×pre80true
1.0s2142×body10240exit
740.0ms6929×body320valid
540.0ms19273×body80nan
98.0ms240×body5120valid
3.0ms100×pre80false

series29.7s (24.7%)

Calls

336 calls:

844.0ms
(* (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))))
560.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d))))
555.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
424.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
424.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

prune28.9s (24.0%)

rewrite14.1s (11.7%)

Algorithm
113×rewrite-expression-head
Calls

336 calls:

1.2s
(+ (+ (* 333.75 (pow y 6.0)) (* (* x x) (- (- (- (* (* (* (* 11.0 x) x) y) y) (pow y 6.0)) (* 121.0 (pow y 4.0))) 2.0))) (* 5.5 (pow y 8.0)))
614.0ms
(+ (+ (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0))) (/ 77617.0 (* 2.0 33096.0)))
596.0ms
(* 100.0 (* (/ 1 i) (* (- (+ (* 1.0 i) (+ (* 0.5 (pow i 2)) (* (log 1.0) n))) (* 0.5 (* (pow i 2) (log 1.0)))) n)))
567.0ms
(+ (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0)))
289.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
Rules
3334×add-sqr-sqrt
3295×*-un-lft-identity
3142×times-frac
1982×add-exp-log
1937×add-cube-cbrt
1658×add-cbrt-cube
970×pow1
934×associate-*r*
763×add-log-exp
695×prod-exp
579×cbrt-unprod
515×associate-*l*
501×difference-of-squares
485×sqrt-prod
457×div-exp
446×unpow-prod-down
383×distribute-lft-out
377×associate-/r*
330×cbrt-undiv
304×distribute-lft-out--
296×pow-prod-down
279×flip-+ flip3-+
274×flip3-- flip--
264×associate-/r/
243×associate-*r/
235×frac-times
234×sqr-pow
221×sqrt-div
215×associate-/l*
201×div-inv
200×cbrt-prod
185×unswap-sqr
178×associate-*l/
168×sum-log
115×associate-/l/
114×unpow2
100×sub-neg
95×*-commutative
88×swap-sqr
84×diff-log
80×cbrt-div
70×log-prod
66×distribute-rgt-neg-in
63×clear-num frac-2neg
58×distribute-rgt-in distribute-lft-in
51×pow-exp
50×rem-sqrt-square
49×pow-to-exp
48×cube-prod
46×sqrt-pow1
45×frac-add 1-exp rec-exp
42×distribute-lft-neg-in
40×pow1/2
39×+-commutative
38×log-pow
33×pow-prod-up
32×exp-prod
29×pow-sqr
28×pow1/3
22×associate-+l+ frac-sub div-sub
20×associate-+r+
19×pow-unpow
18×pow-plus log-div
14×pow2 neg-mul-1 associate--l+
13×unpow3
12×neg-sub0
11×cube-mult associate--r+ rem-log-exp
10×pow-flip
neg-log pow-pow
cube-div inv-pow
associate-+r-
un-div-inv distribute-lft-neg-out exp-to-pow
associate--l- unsub-neg exp-sum
rem-exp-log distribute-frac-neg rem-cbrt-cube associate-+l-
rem-cube-cbrt difference-cubes
exp-diff distribute-lft1-in distribute-neg-in distribute-rgt-out-- associate--r-
cube-unmult sub-div distribute-rgt-out

simplify10.2s (8.5%)

Algorithm
183×egg-herbie

regimes3.4s (2.8%)

Accuracy

Total 33.9b remaining (7.9%)

Threshold costs 4.0b (0.9%)

11.6b49.4%Compound Interest
4.7b77.5%Kahan p9 Example
3.5b87.8%The quadratic formula (r1)
3.2b0%Complex division, imag part
3.2b0%Complex division, real part

localize1.5s (1.3%)

bsearch992.0ms (0.8%)

end1.0ms (0.0%)