Details

Time bar (total: 23.0s)

sample38.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
6.0ms256×pre80true

simplify351.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
351.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.5b

localize18.0ms

Local error

Found 2 expressions with local error:

18.5b
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
0.0b
(- (* 4 (* i i)) 1.0)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
2×add-sqr-sqrt pow1 *-un-lft-identity flip3-- associate-*l/ associate-/r/ add-cube-cbrt insert-posit16 flip--
1×clear-num associate-/r* sub-neg frac-2neg times-frac diff-log div-inv associate-/l*
Counts
2 → 37
Calls
2 calls:
Slowest
68.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
17.0ms
(- (* 4 (* i i)) 1.0)

series208.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
133.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
75.0ms
(- (* 4 (* i i)) 1.0)

simplify4.1s

Counts
19 → 43
Calls
19 calls:
Slowest
635.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
576.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
403.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
399.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
341.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))

prune282.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

17.6b
(/ (* (- (* 4 (* i i)) 1.0) 4) i)
0.3b
(/ i (/ (* (- (* 4 (* i i)) 1.0) 4) i))
0.0b
(- (* 4 (* i i)) 1.0)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
21×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×add-cbrt-cube add-exp-log
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
5×add-log-exp
4×associate-/l*
3×pow1 insert-posit16
2×clear-num frac-2neg flip3-- associate-*l/ prod-exp cbrt-unprod flip-- associate-/l/
1×sub-neg diff-log associate-/r/
Counts
3 → 86
Calls
3 calls:
Slowest
40.0ms
(/ (* (- (* 4 (* i i)) 1.0) 4) i)
24.0ms
(/ i (/ (* (- (* 4 (* i i)) 1.0) 4) i))
19.0ms
(- (* 4 (* i i)) 1.0)

series391.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
169.0ms
(/ (* (- (* 4 (* i i)) 1.0) 4) i)
141.0ms
(/ i (/ (* (- (* 4 (* i i)) 1.0) 4) i))
80.0ms
(- (* 4 (* i i)) 1.0)

simplify10.8s

Counts
82 → 95
Calls
82 calls:
Slowest
569.0ms
(/ (* (cbrt i) (cbrt i)) (/ (- (* 4 (* i i)) 1.0) (* (cbrt i) (cbrt i))))
445.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
406.0ms
(/ (* (* i i) i) (/ (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)) (* (* i i) i)))
332.0ms
(/ (* (* i i) i) (/ (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)) (* (* i i) i)))
309.0ms
(- (log i) (- (+ (log (- (* 4 (* i i)) 1.0)) (log 4)) (log i)))

prune699.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 0.00390625 (* i i))
0.3b
(/ (+ (/ 0.00390625 (* i i)) 0.015625) (* i i))
0.0b
(+ (/ 0.00390625 (* i i)) 0.015625)

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity add-cbrt-cube add-exp-log
7×add-sqr-sqrt times-frac add-cube-cbrt associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 insert-posit16 distribute-lft-out
2×clear-num associate-/r* frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ div-inv associate-/l/
1×+-commutative sum-log
Counts
3 → 61
Calls
3 calls:
Slowest
85.0ms
(/ (+ (/ 0.00390625 (* i i)) 0.015625) (* i i))
31.0ms
(+ (/ 0.00390625 (* i i)) 0.015625)
6.0ms
(/ 0.00390625 (* i i))

series211.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
112.0ms
(/ (+ (/ 0.00390625 (* i i)) 0.015625) (* i i))
53.0ms
(+ (/ 0.00390625 (* i i)) 0.015625)
46.0ms
(/ 0.00390625 (* i i))

simplify3.0s

Counts
39 → 70
Calls
39 calls:
Slowest
400.0ms
(/ (* (* 0.00390625 0.00390625) 0.00390625) (* (* (* i i) (* i i)) (* i i)))
381.0ms
(/ (* (* 0.00390625 0.00390625) 0.00390625) (* (* (* i i) i) (* (* i i) i)))
340.0ms
(- (* (/ 0.00390625 (* i i)) (/ 0.00390625 (* i i))) (* 0.015625 0.015625))
286.0ms
(+ (pow (/ 0.00390625 (* i i)) 3) (pow 0.015625 3))
207.0ms
(/ (* (* (+ (/ 0.00390625 (* i i)) 0.015625) (+ (/ 0.00390625 (* i i)) 0.015625)) (+ (/ 0.00390625 (* i i)) 0.015625)) (* (* (* i i) i) (* (* i i) i)))

prune561.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes29.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.4b

bsearch79.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.4s8000×body80valid
248.0ms8000×pre80true