Details

Time bar (total: 36.1s)

sample64.0ms

Algorithm
intervals
Results
41.0ms256×body80valid
10.0ms256×pre80true

simplify689.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
689.0ms
(/ (/ (* (* 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: 14.9b

localize13.0ms

Local error

Found 2 expressions with local error:

14.9b
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
0.0b
(* 4 (* i i))

rewrite52.0ms

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×expm1-log1p-u associate-*l/ associate-/r/ insert-posit16 log1p-expm1-u 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 → 48
Calls
2 calls:
Slowest
38.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
13.0ms
(* 4 (* i i))

series156.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
110.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
45.0ms
(* 4 (* i i))

simplify4.6s

Counts
28 → 54
Calls
28 calls:
Slowest
643.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
488.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
480.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
383.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
372.0ms
(+ (* (* 4 (* i i)) (* 4 (* i i))) (+ (* 1.0 1.0) (* (* 4 (* i i)) 1.0)))

prune368.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 3 expressions with local error:

14.9b
(* (* i i) (/ 1 (* (- (* 4 (* i i)) 1.0) 4)))
0.2b
(/ 1 (* (- (* 4 (* i i)) 1.0) 4))
0.0b
(* 4 (* i i))

rewrite332.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log
34×add-cbrt-cube
33×prod-exp
16×pow1
15×cbrt-unprod
12×div-exp
10×add-sqr-sqrt associate-*r*
8×*-un-lft-identity add-cube-cbrt
7×pow-prod-down
6×cbrt-undiv rec-exp times-frac 1-exp
4×associate-*l* associate-*l/ associate-/r/
3×expm1-log1p-u insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×flip3-- *-commutative div-inv pow-flip flip-- unswap-sqr
1×clear-num associate-/r* frac-2neg associate-*r/ un-div-inv inv-pow
Counts
3 → 101
Calls
3 calls:
Slowest
211.0ms
(* (* i i) (/ 1 (* (- (* 4 (* i i)) 1.0) 4)))
91.0ms
(/ 1 (* (- (* 4 (* i i)) 1.0) 4))
27.0ms
(* 4 (* i i))

series207.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
95.0ms
(* (* i i) (/ 1 (* (- (* 4 (* i i)) 1.0) 4)))
84.0ms
(/ 1 (* (- (* 4 (* i i)) 1.0) 4))
29.0ms
(* 4 (* i i))

simplify12.1s

Counts
72 → 110
Calls
72 calls:
Slowest
485.0ms
(+ (* (* 4 (* i i)) (* 4 (* i i))) (+ (* 1.0 1.0) (* (* 4 (* i i)) 1.0)))
469.0ms
(+ (log (* i i)) (- (log 1) (+ (log (- (* 4 (* i i)) 1.0)) (log 4))))
455.0ms
(+ (* (* 4 (* i i)) (* 4 (* i i))) (+ (* 1.0 1.0) (* (* 4 (* i i)) 1.0)))
443.0ms
(* (* (* (* i i) i) (* (* i i) i)) (/ (* (* 1 1) 1) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4))))
441.0ms
(/ (* (* 1 1) 1) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))

prune744.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

14.3b
(/ i (- (* 4 (* i i)) 1.0))
0.1b
(* (/ i (- (* 4 (* i i)) 1.0)) (/ i 4))
0.0b
(* 4 (* i i))

rewrite155.0ms

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×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
2×flip3-- *-commutative flip--
1×frac-times clear-num frac-2neg associate-*l/ associate-*r/
Counts
3 → 109
Calls
3 calls:
Slowest
114.0ms
(* (/ i (- (* 4 (* i i)) 1.0)) (/ i 4))
26.0ms
(/ i (- (* 4 (* i i)) 1.0))
13.0ms
(* 4 (* i i))

series295.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
132.0ms
(* (/ i (- (* 4 (* i i)) 1.0)) (/ i 4))
129.0ms
(/ i (- (* 4 (* i i)) 1.0))
34.0ms
(* 4 (* i i))

simplify7.4s

Counts
92 → 118
Calls
92 calls:
Slowest
661.0ms
(* (* (* (/ i (- (* 4 (* i i)) 1.0)) (/ i (- (* 4 (* i i)) 1.0))) (/ i (- (* 4 (* i i)) 1.0))) (* (* (/ i 4) (/ i 4)) (/ i 4)))
370.0ms
(+ (* 0.015625 (/ 1 (pow i 5))) (+ (* 0.0625 (/ 1 (pow i 3))) (* 1/4 (/ 1 i))))
358.0ms
(/ i (- (pow (* 4 (* i i)) 3) (pow 1.0 3)))
339.0ms
(+ (* 0.015625 (/ 1 (pow i 5))) (+ (* 0.0625 (/ 1 (pow i 3))) (* 1/4 (/ 1 i))))
335.0ms
(+ (* (* 4 (* i i)) (* 4 (* i i))) (+ (* 1.0 1.0) (* (* 4 (* i i)) 1.0)))

prune834.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
0.1b
(/ (/ 0.00390625 i) i)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
79×times-frac
50×*-un-lft-identity
46×add-sqr-sqrt add-cube-cbrt
17×associate-/l*
12×add-cbrt-cube add-exp-log
6×div-inv
5×cbrt-undiv div-exp
4×associate-/r*
3×associate-/l/
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp
1×flip3-+ prod-exp cbrt-unprod flip-+
Counts
2 → 101
Calls
2 calls:
Slowest
46.0ms
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
7.0ms
(/ (/ 0.00390625 i) i)

series169.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
129.0ms
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
40.0ms
(/ (/ 0.00390625 i) i)

simplify5.4s

Counts
117 → 107
Calls
117 calls:
Slowest
600.0ms
(+ (* 0.015625 (/ 1 (pow i 2))) (* 0.00390625 (/ 1 (pow i 4))))
459.0ms
(/ (/ (* (* 0.00390625 0.00390625) 0.00390625) (* (* i i) i)) (* (* i i) i))
291.0ms
(/ (* (* (/ 0.00390625 i) (/ 0.00390625 i)) (/ 0.00390625 i)) (* (* i i) i))
270.0ms
(+ (pow 0.015625 3) (pow (/ (/ 0.00390625 i) i) 3))
223.0ms
(/ (* (* (+ 0.015625 (/ (/ 0.00390625 i) i)) (+ 0.015625 (/ (/ 0.00390625 i) i))) (+ 0.015625 (/ (/ 0.00390625 i) i))) (* (* (* i i) i) (* (* i i) i)))

prune922.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.5b

bsearch72.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s8000×body80valid
258.0ms8000×pre80true