Details

Time bar (total: 40.9s)

sample86.0ms

Algorithm
intervals
Results
37.0ms263×body80nan
34.0ms256×body80valid

simplify154.0ms

Calls
1 calls:
Slowest
154.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3 (* v v))
0.0b
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.0b
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
0.0b
(sqrt (- 1 (* 3 (* v v))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-times sqrt-div
15×flip3-- flip--
11×pow1 add-cbrt-cube add-exp-log
10×add-sqr-sqrt associate-*r* associate-*r/
*-un-lft-identity associate-*l/ add-cube-cbrt
sqrt-prod
associate-*l*
pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
*-commutative
distribute-rgt-in sub-neg distribute-lft-in
rem-sqrt-square pow1/2 div-inv
Calls
4 calls:
Slowest
18.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
7.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
1.0ms
(sqrt (- 1 (* 3 (* v v))))
1.0ms
(* 3 (* v v))

series195.0ms

Calls
4 calls:
Slowest
79.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
73.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
25.0ms
(sqrt (- 1 (* 3 (* v v))))
17.0ms
(* 3 (* v v))

simplify14.3s

Calls
78 calls:
Slowest
906.0ms
(* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v))))))
456.0ms
(* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))
409.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))
401.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))
388.0ms
(* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3 (* v v))
0.0b
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.0b
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
0.0b
(log (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
34×frac-times
28×sqrt-div
26×flip3-- flip--
18×associate-*r/
17×pow1 log-div associate-*l/ add-exp-log
11×add-cbrt-cube
10×associate-*r*
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow-prod-down prod-exp
associate-*l*
cbrt-unprod insert-posit16 add-log-exp
rem-log-exp log-pow *-commutative sqrt-prod
distribute-rgt-in sub-neg distribute-lft-in
log-prod div-inv
Calls
4 calls:
Slowest
26.0ms
(log (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))
17.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
7.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
1.0ms
(* 3 (* v v))

series443.0ms

Calls
4 calls:
Slowest
235.0ms
(log (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))
108.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
85.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
14.0ms
(* 3 (* v v))

simplify19.7s

Calls
93 calls:
Slowest
1.0s
(* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v))))))
555.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* v v)))
499.0ms
(log (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))
463.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))
419.0ms
(log (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch3.0ms

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.6s7916×body80nan
1.3s8000×body80valid