Details

Time bar (total: 23.5s)

sample63.0ms

Algorithm
intervals
Results
39.0ms256×body80valid
9.0ms256×pre80true

simplify314.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
313.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.7b

localize33.0ms

Local error

Found 2 expressions with local error:

19.7b
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
0.0b
(* 4 (* i i))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
7×pow1 prod-exp cbrt-unprod
4×add-sqr-sqrt cbrt-undiv div-exp
3×*-un-lft-identity associate-*l* pow-prod-down add-cube-cbrt
2×associate-*l/ associate-/r/ insert-posit16 add-log-exp
1×clear-num associate-/r* frac-2neg times-frac flip3-- associate-*r* *-commutative div-inv flip-- associate-/l* unswap-sqr
Counts
2 → 44
Calls
2 calls:
Slowest
58.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
13.0ms
(* 4 (* i i))

series163.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
124.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
39.0ms
(* 4 (* i i))

simplify4.5s

Counts
28 → 50
Calls
28 calls:
Slowest
653.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
566.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
524.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
438.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
369.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))

prune340.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

19.0b
(/ i (- (* 4 (* i i)) 1.0))
0.1b
(* (/ i (- (* 4 (* i i)) 1.0)) (/ i 4))
0.0b
(* 4 (* i i))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
26×*-un-lft-identity add-cube-cbrt
22×add-cbrt-cube add-exp-log
18×associate-*l*
14×associate-*r*
10×pow1
7×prod-exp cbrt-unprod
5×cbrt-undiv div-exp unswap-sqr
4×pow-prod-down associate-/r/
3×associate-/r* insert-posit16 div-inv associate-/l* add-log-exp
2×flip3-- *-commutative flip--
1×frac-times clear-num frac-2neg associate-*l/ associate-*r/
Counts
3 → 103
Calls
3 calls:
Slowest
111.0ms
(* (/ i (- (* 4 (* i i)) 1.0)) (/ i 4))
34.0ms
(/ i (- (* 4 (* i i)) 1.0))
27.0ms
(* 4 (* i i))

series254.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
128.0ms
(/ i (- (* 4 (* i i)) 1.0))
98.0ms
(* (/ i (- (* 4 (* i i)) 1.0)) (/ i 4))
28.0ms
(* 4 (* i i))

simplify7.4s

Counts
92 → 112
Calls
92 calls:
Slowest
641.0ms
(* (* (* (/ i (- (* 4 (* i i)) 1.0)) (/ i (- (* 4 (* i i)) 1.0))) (/ i (- (* 4 (* i i)) 1.0))) (* (* (/ i 4) (/ i 4)) (/ i 4)))
553.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
377.0ms
(/ i (- (* (* 4 (* i i)) (* 4 (* i i))) (* 1.0 1.0)))
363.0ms
(+ (* 0.015625 (/ 1 (pow i 5))) (+ (* 0.0625 (/ 1 (pow i 3))) (* 1/4 (/ 1 i))))
360.0ms
(+ (* 0.015625 (/ 1 (pow i 5))) (+ (* 0.0625 (/ 1 (pow i 3))) (* 1/4 (/ 1 i))))

prune787.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ i 4) (- (* i 4) (/ 1.0 i)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/l*
6×add-cbrt-cube add-exp-log
5×div-inv
3×cbrt-undiv associate-/r* div-exp
2×associate-/r/
1×pow1 clear-num frac-2neg flip3-- insert-posit16 flip-- add-log-exp associate-/l/
Counts
1 → 73
Calls
1 calls:
Slowest
34.0ms
(/ (/ i 4) (- (* i 4) (/ 1.0 i)))

series128.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
128.0ms
(/ (/ i 4) (- (* i 4) (/ 1.0 i)))

simplify6.7s

Counts
101 → 76
Calls
101 calls:
Slowest
586.0ms
(/ (* (* (/ i 4) (/ i 4)) (/ i 4)) (* (* (- (* i 4) (/ 1.0 i)) (- (* i 4) (/ 1.0 i))) (- (* i 4) (/ 1.0 i))))
538.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
363.0ms
(/ (/ (* (cbrt i) (cbrt i)) (* (cbrt 4) (cbrt 4))) (* (cbrt (- (* i 4) (/ 1.0 i))) (cbrt (- (* i 4) (/ 1.0 i)))))
243.0ms
(+ (* (* i 4) (* i 4)) (+ (* (/ 1.0 i) (/ 1.0 i)) (* (* i 4) (/ 1.0 i))))
226.0ms
(/ (/ (* (cbrt i) (cbrt i)) (sqrt 4)) (* (cbrt (- (* i 4) (/ 1.0 i))) (cbrt (- (* i 4) (/ 1.0 i)))))

prune631.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch1.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.5s8000×body80valid
246.0ms8000×pre80true