Details

Time bar (total: 2.5s)

sample27.0ms

Algorithm
intervals
Results
13.0ms351×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0258
1478
2968
31658
42418
53908
611938
750028

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.4b

Counts
2 → 1

localize11.0ms

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))
12.4b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite25.0ms

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:
10.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms
(* (* z 2.0) (- 1.0 t))
6.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series156.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
46.0ms
(* (* z 2.0) (- 1.0 t))
63.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify51.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0415543
11753476
25001473

prune142.0ms

Filtered
71 candidates to 48 candidates (67.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New67471
Fresh000
Picked101
Done000
Total68472

Merged error: 0.0b

Counts
72 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
0.1b
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite31.0ms

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:
17.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
12.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series97.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
40.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0489525
12096469
25001452

prune137.0ms

Filtered
68 candidates to 50 candidates (73.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New66268
Fresh213
Picked011
Done000
Total68472

Merged error: 0.0b

Counts
72 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
0.1b
(/ (+ (/ 2.0 z) 2.0) t)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
7×add-log-exp
6×distribute-lft-out
4×add-exp-log add-cbrt-cube associate-/l*
3×associate-/r*
2×pow1 associate-+r+ flip3-+ frac-add sum-log flip-+ associate-/l/
1×cbrt-undiv +-commutative associate-+r- sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- div-inv distribute-lft-out--
Counts
2 → 52
Calls
2 calls:
19.0ms
(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
9.0ms
(/ (+ (/ 2.0 z) 2.0) t)

series90.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
42.0ms
(/ (+ (/ 2.0 z) 2.0) t)

simplify85.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0307435
1922414
23311406
35002401

prune103.0ms

Filtered
58 candidates to 40 candidates (69.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New57158
Fresh112
Picked011
Done011
Total58462

Merged error: 0.0b

Counts
62 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x y) (/ 1 (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))))
0.0b
(* (* z 2.0) (- 1.0 t))
0.1b
(/ 1 (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
12.3b
(/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
35×add-exp-log
34×*-un-lft-identity
27×add-sqr-sqrt
25×add-cube-cbrt
23×add-cbrt-cube
14×div-exp
12×associate-/r*
11×associate-/r/
10×pow1
7×cbrt-undiv prod-exp div-inv
6×flip3-+ flip-+ add-log-exp
5×associate-*r* cbrt-unprod
4×associate-/l*
3×rec-exp 1-exp pow-prod-down distribute-lft-out
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in associate-*r/ clear-num
1×+-commutative flip3-- pow-flip associate-*l* frac-add sum-log *-commutative flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 128
Calls
4 calls:
22.0ms
(+ (/ x y) (/ 1 (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))))
8.0ms
(* (* z 2.0) (- 1.0 t))
8.0ms
(/ 1 (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
9.0ms
(/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))

series227.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(+ (/ x y) (/ 1 (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))))
44.0ms
(* (* z 2.0) (- 1.0 t))
58.0ms
(/ 1 (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
68.0ms
(/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))

simplify92.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
06651402
135251203
250011194

prune211.0ms

Filtered
140 candidates to 81 candidates (57.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1400140
Fresh011
Picked011
Done022
Total1404144

Merged error: 0.0b

Counts
144 → 4

regimes115.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136
1136

end0.0ms

sample681.0ms

Algorithm
intervals
Results
421.0ms10465×body80valid