Details

Time bar (total: 11.0s)

sample55.0ms

Algorithm
intervals
Results
29.0ms329×body80valid

simplify827.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b
(* (* z 2.0) (- 1.0 t))
8.3b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
10×*-un-lft-identity
8×pow1 add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r* add-log-exp
4×prod-exp cbrt-unprod
3×times-frac pow-prod-down associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in flip3-+ associate-*r/ div-exp flip-+ associate-/l/
1×+-commutative flip3-- frac-2neg associate-*l* frac-add clear-num associate-/r* sum-log *-commutative flip-- div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 62
Calls
3 calls:
32.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
52.0ms
(* (* z 2.0) (- 1.0 t))
44.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series224.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
70.0ms
(* (* z 2.0) (- 1.0 t))
71.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify823.0ms

Counts
71 → 71

prune181.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
0.2b
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity
13×associate-*l*
11×add-exp-log times-frac
10×add-cube-cbrt
7×add-cbrt-cube add-log-exp
4×pow1 associate-+r+ associate-*r* prod-exp
3×flip3-+ flip-+ unswap-sqr
2×distribute-rgt-in frac-times distribute-lft-in associate-*r/ div-exp frac-add associate--l+ sum-log cbrt-unprod distribute-lft-out
1×cbrt-undiv +-commutative associate-+r- sub-neg rec-exp flip3-- diff-log 1-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv
Counts
2 → 62
Calls
2 calls:
102.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
78.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series126.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
49.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify759.0ms

Counts
68 → 68

prune262.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
0.0b
(* (* z 2.0) (- 1.0 t))
6.7b
(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
7.8b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
86×times-frac
63×*-un-lft-identity
57×add-sqr-sqrt
55×add-cube-cbrt
16×add-exp-log add-cbrt-cube associate-/l*
9×pow1
6×associate-/r* div-inv add-log-exp
5×associate-*r*
4×cbrt-undiv div-exp
3×pow-prod-down prod-exp cbrt-unprod associate-/l/
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in flip3-+ associate-*r/ clear-num flip-+ distribute-lft-out
1×+-commutative flip3-- associate-*l* frac-add sum-log *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 139
Calls
4 calls:
78.0ms
(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
44.0ms
(* (* z 2.0) (- 1.0 t))
48.0ms
(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
47.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

series307.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
61.0ms
(* (* z 2.0) (- 1.0 t))
93.0ms
(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
90.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

simplify1.0s

Counts
151 → 151

prune531.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 2.0 z) (/ 2.0 z))
0.3b
(pow (/ 2.0 z) 3)
0.8b
(* (+ (* 2.0 (- 2.0 (/ 2.0 z))) (* (/ 2.0 z) (/ 2.0 z))) t)
18.0b
(/ (+ (pow (/ 2.0 z) 3) (pow 2.0 3)) (* (+ (* 2.0 (- 2.0 (/ 2.0 z))) (* (/ 2.0 z) (/ 2.0 z))) t))

rewrite282.0ms

Algorithm
rewrite-expression-head
Rules
71×*-un-lft-identity
67×times-frac
65×add-sqr-sqrt
51×add-cube-cbrt
26×add-exp-log add-cbrt-cube
21×unpow-prod-down cube-prod associate-*l/
17×associate-*r/
16×associate-*r* associate-*l*
14×pow1
13×swap-sqr
12×frac-add
10×distribute-lft-out
9×associate-/l*
8×associate-/r/
7×cbrt-undiv div-exp div-inv
6×flip3-- prod-exp flip-- cbrt-unprod
5×frac-times unswap-sqr
4×add-log-exp
3×pow-unpow flip3-+ flip-+
2×pow-prod-down pow-exp sum-cubes *-commutative associate-/l/ rem-cube-cbrt
1×cube-div pow2 cube-mult pow-to-exp pow-pow frac-2neg pow-plus unpow3 clear-num associate-/r* pow-sqr pow-prod-up sqr-pow
Counts
4 → 182
Calls
4 calls:
28.0ms
(* (/ 2.0 z) (/ 2.0 z))
7.0ms
(pow (/ 2.0 z) 3)
60.0ms
(* (+ (* 2.0 (- 2.0 (/ 2.0 z))) (* (/ 2.0 z) (/ 2.0 z))) t)
176.0ms
(/ (+ (pow (/ 2.0 z) 3) (pow 2.0 3)) (* (+ (* 2.0 (- 2.0 (/ 2.0 z))) (* (/ 2.0 z) (/ 2.0 z))) t))

series296.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (/ 2.0 z) (/ 2.0 z))
64.0ms
(pow (/ 2.0 z) 3)
70.0ms
(* (+ (* 2.0 (- 2.0 (/ 2.0 z))) (* (/ 2.0 z) (/ 2.0 z))) t)
120.0ms
(/ (+ (pow (/ 2.0 z) 3) (pow 2.0 3)) (* (+ (* 2.0 (- 2.0 (/ 2.0 z))) (* (/ 2.0 z) (/ 2.0 z))) t))

simplify547.0ms

Counts
194 → 194

prune997.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes262.0ms

Accuracy

98.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 9.3b

bsearch197.0ms

Steps
ItersRangePoint
9
741848877.2745435
1944975993294440.5
21282048288.189068
7
-7.864674228244389e+36
-1.3576328405423918e+35
-1.41453706896209e+35

simplify1.2s

end0.0ms

sample1.5s

Algorithm
intervals
Results
918.0ms10508×body80valid