Details

Time bar (total: 2.4s)

sample37.0ms

Algorithm
intervals
Results
15.0ms334×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0258
1478
2968
31658
42418
53908
611938
750028

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.6b

Counts
2 → 1

localize10.0ms

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

rewrite24.0ms

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

series28.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* (* z 2.0) (- 1.0 t))
13.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
9.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify48.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0415543
11753476
25001473

prune103.0ms

Filtered
48 candidates to 71 candidates (-47.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New67471
Fresh000
Picked011
Done000
Total67572

Merged error: 0.0b

Counts
72 → 5

localize20.0ms

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))

rewrite29.0ms

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:
15.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
12.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series18.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
6.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0489525
12096469
25001452

prune94.0ms

Filtered
50 candidates to 68 candidates (-36.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New67168
Fresh123
Picked101
Done011
Total69473

Merged error: 0b

Counts
73 → 4

localize8.0ms

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:
20.0ms
(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
9.0ms
(/ (+ (/ 2.0 z) 2.0) t)

series17.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
5.0ms
(/ (+ (/ 2.0 z) 2.0) t)

simplify71.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
0307435
1922414
23297406
35002401

prune71.0ms

Filtered
40 candidates to 58 candidates (-45.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh022
Picked011
Done011
Total58462

Merged error: 0b

Counts
62 → 4

localize13.0ms

Local error

Found 4 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))
8.1b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)
9.5b
(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)

rewrite51.0ms

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:
7.0ms
(* (* z 2.0) (- 1.0 t))
27.0ms
(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
5.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)
7.0ms
(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)

series38.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* z 2.0) (- 1.0 t))
13.0ms
(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
10.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)
9.0ms
(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06481506
125361409
250011409

prune192.0ms

Filtered
114 candidates to 151 candidates (-32.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1510151
Fresh011
Picked011
Done022
Total1514155

Merged error: 0b

Counts
155 → 4

regimes397.0ms

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
0136
1136

end0.0ms

sample968.0ms

Algorithm
intervals
Results
501.0ms10386×body80valid

Profiling

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