Details

Time bar (total: 26.7s)

sample62.0ms

Algorithm
intervals
Results
36.0ms256×body80valid
10.0ms256×pre80true

simplify349.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
349.0ms
(/ (/ (* (* 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: 18.5b

localize26.0ms

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)

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
3×add-sqr-sqrt *-un-lft-identity prod-diff add-cube-cbrt
2×expm1-log1p-u pow1 flip3-- associate-*l/ associate-/r/ insert-posit16 log1p-expm1-u flip--
1×clear-num associate-/r* sub-neg frac-2neg times-frac fma-neg diff-log div-inv associate-/l*
Counts
2 → 45
Calls
2 calls:
Slowest
66.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
39.0ms
(- (* 4 (* i i)) 1.0)

series210.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
121.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
89.0ms
(- (* 4 (* i i)) 1.0)

simplify4.6s

Counts
25 → 51
Calls
25 calls:
Slowest
644.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
588.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
457.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
435.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
379.0ms
(+ (* (* 4 (* i i)) (* 4 (* i i))) (+ (* 1.0 1.0) (* (* 4 (* i i)) 1.0)))

prune407.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

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)

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
22×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×expm1-log1p-u pow1 prod-diff insert-posit16 log1p-expm1-u
2×clear-num frac-2neg flip3-- associate-*l/ prod-exp cbrt-unprod flip-- associate-/l/
1×sub-neg fma-neg diff-log associate-/r/
Counts
3 → 96
Calls
3 calls:
Slowest
65.0ms
(/ (* (- (* 4 (* i i)) 1.0) 4) i)
36.0ms
(- (* 4 (* i i)) 1.0)
26.0ms
(/ i (/ (* (- (* 4 (* i i)) 1.0) 4) i))

series377.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
171.0ms
(/ (* (- (* 4 (* i i)) 1.0) 4) i)
128.0ms
(/ i (/ (* (- (* 4 (* i i)) 1.0) 4) i))
78.0ms
(- (* 4 (* i i)) 1.0)

simplify11.8s

Counts
88 → 105
Calls
88 calls:
Slowest
503.0ms
(/ (* (* i i) i) (/ (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)) (* (* i i) i)))
472.0ms
(* (- (pow (* 4 (* i i)) 3) (pow 1.0 3)) 4)
360.0ms
(/ (* (* i i) i) (/ (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)) (* (* i i) i)))
350.0ms
(- (log i) (log (/ (* (- (* 4 (* i i)) 1.0) 4) i)))
336.0ms
(/ (exp (* 4 (* i i))) (exp 1.0))

prune746.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
0.2b
(/ (/ 0.00390625 i) i)
0.0b
(+ 0.015625 (/ (/ 0.00390625 i) i))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
79×times-frac
54×*-un-lft-identity
48×add-sqr-sqrt add-cube-cbrt
17×associate-/l*
13×add-cbrt-cube add-exp-log
6×div-inv
5×cbrt-undiv div-exp add-log-exp
4×associate-/r*
3×expm1-log1p-u pow1 fma-def insert-posit16 log1p-expm1-u distribute-lft-out associate-/l/
2×clear-num frac-2neg flip3-+ flip-+
1×+-commutative sum-log prod-exp cbrt-unprod
Counts
3 → 119
Calls
3 calls:
Slowest
49.0ms
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
15.0ms
(+ 0.015625 (/ (/ 0.00390625 i) i))
15.0ms
(/ (/ 0.00390625 i) i)

series192.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
119.0ms
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
44.0ms
(+ 0.015625 (/ (/ 0.00390625 i) i))
29.0ms
(/ (/ 0.00390625 i) i)

simplify5.0s

Counts
124 → 128
Calls
124 calls:
Slowest
543.0ms
(+ (* 0.015625 (/ 1 (pow i 2))) (* 0.00390625 (/ 1 (pow i 4))))
275.0ms
(/ (/ (* (* 0.00390625 0.00390625) 0.00390625) (* (* i i) i)) (* (* i i) i))
225.0ms
(+ (* 0.015625 (/ 1 (pow i 2))) (* 0.00390625 (/ 1 (pow i 4))))
206.0ms
(/ (* (* (/ 0.00390625 i) (/ 0.00390625 i)) (/ 0.00390625 i)) (* (* i i) i))
198.0ms
(/ (* (* (+ 0.015625 (/ (/ 0.00390625 i) i)) (+ 0.015625 (/ (/ 0.00390625 i) i))) (+ 0.015625 (/ (/ 0.00390625 i) i))) (* (* (* i i) (* i i)) (* i i)))

prune925.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

100% (0.0b remaining)

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

bsearch73.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s8000×body80valid
255.0ms8000×pre80true