Details

Time bar (total: 3.6s)

sample26.0ms

Algorithm
intervals
Results
12.0ms314×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0258
1478
2968
31658
42418
53908
611938
750028

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* z 2.0) (- 1.0 t))
0.0b
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
8.6b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
11×*-un-lft-identity
9×pow1 add-sqr-sqrt
8×add-log-exp
7×add-cube-cbrt
5×associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in prod-exp cbrt-unprod
3×flip3-+ times-frac pow-prod-down flip-+ associate-/l*
2×cbrt-undiv +-commutative associate-*r/ div-exp sum-log associate-/l/
1×flip3-- frac-2neg associate-*l* frac-add clear-num associate-/r* *-commutative flip-- div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 77
Calls
4 calls:
11.0ms
(* (* z 2.0) (- 1.0 t))
3.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
18.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
9.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series211.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (* z 2.0) (- 1.0 t))
30.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
60.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
75.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify51.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0444646
11848578
25002571

prune201.0ms

Filtered
89 candidates to 61 candidates (68.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

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))

rewrite75.0ms

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:
38.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
36.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series95.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
39.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0489525
12096469
25001452

prune167.0ms

Filtered
68 candidates to 50 candidates (73.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite188.0ms

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:
171.0ms
(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
12.0ms
(+ (/ 2.0 (* t z)) (/ 2.0 t))
3.0ms
(/ 2.0 (* t z))

series126.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
48.0ms
(+ (/ 2.0 (* t z)) (/ 2.0 t))
21.0ms
(/ 2.0 (* t z))

simplify36.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0364467
11273436
25001426

prune141.0ms

Filtered
66 candidates to 46 candidates (69.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite571.0ms

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:
520.0ms
(+ (/ x y) (- (+ (/ (/ 2.0 t) z) (/ 2.0 t)) 2.0))
41.0ms
(+ (/ (/ 2.0 t) z) (/ 2.0 t))
5.0ms
(/ (/ 2.0 t) z)

series121.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ (/ x y) (- (+ (/ (/ 2.0 t) z) (/ 2.0 t)) 2.0))
48.0ms
(+ (/ (/ 2.0 t) z) (/ 2.0 t))
21.0ms
(/ (/ 2.0 t) z)

simplify51.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0579829
12189798
25002798

prune291.0ms

Filtered
115 candidates to 89 candidates (77.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes300.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample730.0ms

Algorithm
intervals
Results
434.0ms10317×body80valid