Details

Time bar (total: 3.3s)

sample26.0ms

Algorithm
intervals
Results
13.0ms351×body80valid

simplify51.0ms

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: 9.7b

localize14.0ms

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)))
9.7b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite40.0ms

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:
12.0ms
(* (* 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))

series158.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* (* z 2.0) (- 1.0 t))
46.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
64.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify47.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0415543
11753476
25001473

prune162.0ms

Filtered
71 candidates to 48 candidates (67.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite84.0ms

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:
41.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
39.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series127.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
58.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0489525
12096469
25001452

prune327.0ms

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 2 expressions with local error:

0.0b
(+ (/ x y) (- (pow (/ (+ (/ 2.0 z) 2.0) t) 1) 2.0))
0.2b
(/ (+ (/ 2.0 z) 2.0) t)

rewrite315.0ms

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:
286.0ms
(+ (/ x y) (- (pow (/ (+ (/ 2.0 z) 2.0) t) 1) 2.0))
28.0ms
(/ (+ (/ 2.0 z) 2.0) t)

series87.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ (/ x y) (- (pow (/ (+ (/ 2.0 z) 2.0) t) 1) 2.0))
38.0ms
(/ (+ (/ 2.0 z) 2.0) t)

simplify102.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0313455
11011423
23959411
35002411

prune138.0ms

Filtered
58 candidates to 42 candidates (72.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (/ 2.0 z) 2.0))
0.0b
(sqrt (+ (/ 2.0 z) 2.0))
0.3b
(* (/ 1 t) (sqrt (+ (/ 2.0 z) 2.0)))
0.3b
(* (* (/ 1 t) (sqrt (+ (/ 2.0 z) 2.0))) (sqrt (+ (/ 2.0 z) 2.0)))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
32×sqrt-div
28×add-exp-log
27×*-un-lft-identity
19×sqrt-prod
18×frac-times add-cbrt-cube
17×add-cube-cbrt
16×flip3-+ flip-+
14×associate-*r* associate-*l*
13×pow1 times-frac prod-exp
10×associate-*r/
9×associate-*l/
7×cbrt-unprod
6×unswap-sqr
4×div-exp pow-prod-down distribute-lft-out add-log-exp
2×cbrt-undiv rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp *-commutative
1×div-inv
Counts
4 → 121
Calls
4 calls:
13.0ms
(sqrt (+ (/ 2.0 z) 2.0))
13.0ms
(sqrt (+ (/ 2.0 z) 2.0))
38.0ms
(* (/ 1 t) (sqrt (+ (/ 2.0 z) 2.0)))
70.0ms
(* (* (/ 1 t) (sqrt (+ (/ 2.0 z) 2.0))) (sqrt (+ (/ 2.0 z) 2.0)))

series192.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(sqrt (+ (/ 2.0 z) 2.0))
44.0ms
(sqrt (+ (/ 2.0 z) 2.0))
71.0ms
(* (/ 1 t) (sqrt (+ (/ 2.0 z) 2.0)))
37.0ms
(* (* (/ 1 t) (sqrt (+ (/ 2.0 z) 2.0))) (sqrt (+ (/ 2.0 z) 2.0)))

simplify54.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
05051161
12020981
25002958

prune300.0ms

Filtered
133 candidates to 83 candidates (62.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes179.0ms

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
0177
1177

end0.0ms

sample682.0ms

Algorithm
intervals
Results
414.0ms10430×body80valid