Details

Time bar (total: 3.5s)

sample28.0ms

Algorithm
intervals
Results
15.0ms317×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0258
1478
2968
31658
42418
53908
611938
750028

prune2.0ms

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: 9.9b

Counts
2 → 1

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)))
9.9b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite26.0ms

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))
11.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series161.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* (* z 2.0) (- 1.0 t))
47.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
65.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify49.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0415543
11753476
25001473

prune154.0ms

Filtered
71 candidates to 48 candidates (67.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New65671
Fresh000
Picked101
Done000
Total66672

Merged error: 0b

Counts
72 → 6

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))

rewrite32.0ms

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))

series94.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
41.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0489525
12096469
25001452

prune154.0ms

Filtered
68 candidates to 50 candidates (73.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New66268
Fresh235
Picked011
Done000
Total68674

Merged error: 0b

Counts
74 → 6

localize9.0ms

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))
0.6b
(/ 2.0 (* t z))

rewrite40.0ms

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:
24.0ms
(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
10.0ms
(+ (/ 2.0 (* t z)) (/ 2.0 t))
4.0ms
(/ 2.0 (* t z))

series133.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
54.0ms
(+ (/ 2.0 (* t z)) (/ 2.0 t))
24.0ms
(/ 2.0 (* t z))

simplify40.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0364467
11273436
25001426

prune122.0ms

Filtered
66 candidates to 46 candidates (69.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New64266
Fresh314
Picked011
Done011
Total67572

Merged error: 0b

Counts
72 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ 2.0 (* t z))
0.6b
(/ 2.0 (* t z))
3.0b
(- (* (/ x y) (/ x y)) (* (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)))
22.9b
(/ (- (* (/ x y) (/ x y)) (* (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))) (- (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
50×frac-sub
47×add-sqr-sqrt
43×times-frac
40×frac-times flip3-- flip--
28×associate-*r/ associate-*l/
26×associate-/l/
25×distribute-lft-out--
22×add-cube-cbrt
20×difference-of-squares
16×add-exp-log add-cbrt-cube
10×associate-/r* associate-/l*
6×associate--r+ add-log-exp
5×cbrt-undiv div-exp distribute-lft-out
4×pow1 associate-/r/
3×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num div-inv
2×prod-exp associate--l+ cbrt-unprod
1×diff-log div-sub
Counts
4 → 172
Calls
4 calls:
4.0ms
(/ 2.0 (* t z))
4.0ms
(/ 2.0 (* t z))
19.0ms
(- (* (/ x y) (/ x y)) (* (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)))
43.0ms
(/ (- (* (/ x y) (/ x y)) (* (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))) (- (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)))

series881.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ 2.0 (* t z))
25.0ms
(/ 2.0 (* t z))
159.0ms
(- (* (/ x y) (/ x y)) (* (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)))
676.0ms
(/ (- (* (/ x y) (/ x y)) (* (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))) (- (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)))

simplify62.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09474702
150014228

prune483.0ms

Filtered
184 candidates to 130 candidates (70.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1840184
Fresh022
Picked011
Done022
Total1845189

Merged error: 0b

Counts
189 → 5

regimes128.0ms

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

sample685.0ms

Algorithm
intervals
Results
410.0ms10523×body80valid