Details

Time bar (total: 15.6s)

sample26.0ms

Algorithm
intervals
Results
13.0ms325×body80valid

simplify817.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12517
24617
37917
412117
518317
630917
788117
done500117

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* z 2.0) (- 1.0 t))
0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.6b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite43.0ms

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:
14.0ms
(* (* z 2.0) (- 1.0 t))
16.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series164.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* (* z 2.0) (- 1.0 t))
54.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
64.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify648.0ms

Counts
71 → 71
Iterations

Useful iterations: 2 (152.0ms)

IterNodesCost
01401189
14161116
21530980
done5001980

prune174.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0))
0.0b
(+ (/ 2.0 t) (/ 2.0 (* t z)))
0.6b
(/ 2.0 (* t z))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×add-log-exp
8×add-exp-log add-cbrt-cube
6×distribute-lft-out
5×add-sqr-sqrt add-cube-cbrt sum-log
3×pow1 associate-+r+ times-frac frac-add div-inv associate-/l*
2×cbrt-undiv +-commutative flip3-+ diff-log div-exp flip-+ distribute-lft-out--
1×associate-+r- sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num associate-/r* flip-- cbrt-unprod
Counts
3 → 57
Calls
3 calls:
180.0ms
(+ (/ x y) (- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0))
12.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
3.0ms
(/ 2.0 (* t z))

series130.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(+ (/ x y) (- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0))
52.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
23.0ms
(/ 2.0 (* t z))

simplify542.0ms

Counts
66 → 66
Iterations

Useful iterations: done (540.0ms)

IterNodesCost
01261037
1364967
21138905
done5000877

prune154.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite603.0ms

Algorithm
rewrite-expression-head
Rules
77×times-frac
60×*-un-lft-identity
45×add-sqr-sqrt add-cube-cbrt
14×add-log-exp
13×associate-/l*
8×add-exp-log add-cbrt-cube
6×distribute-lft-out
5×sum-log div-inv
3×pow1 cbrt-undiv associate-+r+ div-exp frac-add associate-/r*
2×+-commutative flip3-+ diff-log flip-+ distribute-lft-out--
1×associate-+r- sub-neg flip3-- frac-2neg associate--l+ clear-num flip-- associate-/l/
Counts
3 → 106
Calls
3 calls:
554.0ms
(+ (/ x y) (- (+ (/ 2.0 t) (/ (/ 2.0 t) z)) 2.0))
39.0ms
(+ (/ 2.0 t) (/ (/ 2.0 t) z))
6.0ms
(/ (/ 2.0 t) z)

series136.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(+ (/ x y) (- (+ (/ 2.0 t) (/ (/ 2.0 t) z)) 2.0))
49.0ms
(+ (/ 2.0 t) (/ (/ 2.0 t) z))
26.0ms
(/ (/ 2.0 t) z)

simplify985.0ms

Counts
115 → 115
Iterations

Useful iterations: 2 (209.0ms)

IterNodesCost
02281712
15771592
217531534
done50001534

prune309.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 2.0 t) (/ (/ (sqrt 2.0) 1) (/ z (/ (sqrt 2.0) t))))
0.2b
(/ z (/ (sqrt 2.0) t))
0.4b
(/ (sqrt 2.0) t)
0.8b
(/ (/ (sqrt 2.0) 1) (/ z (/ (sqrt 2.0) t)))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
5780×times-frac
2466×*-un-lft-identity
2459×add-sqr-sqrt
2456×add-cube-cbrt
1317×sqrt-prod
173×div-inv
96×associate-/r*
41×add-exp-log
32×add-cbrt-cube
31×associate-/l*
28×div-exp
26×associate-/r/
19×cbrt-undiv
6×add-log-exp
4×pow1 distribute-lft-out
3×frac-2neg 1-exp clear-num
1×+-commutative distribute-rgt-out flip3-+ frac-add sum-log flip-+ associate-/l/
Counts
4 → 1844
Calls
4 calls:
967.0ms
(+ (/ 2.0 t) (/ (/ (sqrt 2.0) 1) (/ z (/ (sqrt 2.0) t))))
7.0ms
(/ z (/ (sqrt 2.0) t))
3.0ms
(/ (sqrt 2.0) t)
57.0ms
(/ (/ (sqrt 2.0) 1) (/ z (/ (sqrt 2.0) t)))

series316.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(+ (/ 2.0 t) (/ (/ (sqrt 2.0) 1) (/ z (/ (sqrt 2.0) t))))
76.0ms
(/ z (/ (sqrt 2.0) t))
47.0ms
(/ (sqrt 2.0) t)
84.0ms
(/ (/ (sqrt 2.0) 1) (/ z (/ (sqrt 2.0) t)))

simplify632.0ms

Counts
1856 → 1856
Iterations

Useful iterations: 0 (149.0ms)

IterNodesCost
0227253954
done500153954

prune7.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes115.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11315
done1315

end0.0ms

sample678.0ms

Algorithm
intervals
Results
412.0ms10485×body80valid