Details

Time bar (total: 2.9s)

sample30.0ms

Algorithm
intervals
Results
16.0ms335×body80valid

simplify54.0ms

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: 12.2b

Counts
2 → 1

localize12.0ms

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))
12.2b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite30.0ms

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:
11.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
8.0ms
(* (* z 2.0) (- 1.0 t))
10.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series162.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
44.0ms
(* (* z 2.0) (- 1.0 t))
66.0ms
(/ (+ 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

prune146.0ms

Filtered
71 candidates to 48 candidates (67.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New66571
Fresh000
Picked101
Done000
Total67572

Merged error: 0.0b

Counts
72 → 5

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))

rewrite36.0ms

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))
16.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series98.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
38.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0489525
12096469
25001452

prune144.0ms

Filtered
68 candidates to 50 candidates (73.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New66268
Fresh224
Picked101
Done000
Total69473

Merged error: 0.0b

Counts
73 → 4

localize22.0ms

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)

rewrite53.0ms

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:
34.0ms
(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
16.0ms
(/ (+ (/ 2.0 z) 2.0) t)

series96.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
42.0ms
(/ (+ (/ 2.0 z) 2.0) t)

simplify78.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0307435
1922414
23297406
35002401

prune113.0ms

Filtered
58 candidates to 40 candidates (69.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New57158
Fresh033
Picked011
Done000
Total57562

Merged error: 0b

Counts
62 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (cbrt (+ (/ 2.0 z) 2.0)) (cbrt (+ (/ 2.0 z) 2.0))) (/ (cbrt (+ (/ 2.0 z) 2.0)) t))
0.8b
(cbrt (+ (/ 2.0 z) 2.0))
0.8b
(cbrt (+ (/ 2.0 z) 2.0))
0.8b
(cbrt (+ (/ 2.0 z) 2.0))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
30×cbrt-div
26×add-sqr-sqrt
25×cbrt-prod associate-*r*
23×times-frac
21×add-cube-cbrt
16×add-exp-log frac-times
15×flip3-+ flip-+
12×associate-*l/
10×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod distribute-lft-out
5×associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down unswap-sqr
2×cbrt-undiv div-exp
1×associate-*l* *-commutative div-inv
Counts
4 → 106
Calls
4 calls:
35.0ms
(* (* (cbrt (+ (/ 2.0 z) 2.0)) (cbrt (+ (/ 2.0 z) 2.0))) (/ (cbrt (+ (/ 2.0 z) 2.0)) t))
7.0ms
(cbrt (+ (/ 2.0 z) 2.0))
7.0ms
(cbrt (+ (/ 2.0 z) 2.0))
7.0ms
(cbrt (+ (/ 2.0 z) 2.0))

series373.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (* (cbrt (+ (/ 2.0 z) 2.0)) (cbrt (+ (/ 2.0 z) 2.0))) (/ (cbrt (+ (/ 2.0 z) 2.0)) t))
107.0ms
(cbrt (+ (/ 2.0 z) 2.0))
109.0ms
(cbrt (+ (/ 2.0 z) 2.0))
112.0ms
(cbrt (+ (/ 2.0 z) 2.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05311487
120561343
250021251

prune307.0ms

Filtered
118 candidates to 90 candidates (76.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1180118
Fresh033
Picked011
Done011
Total1185123

Merged error: 0b

Counts
123 → 5

regimes116.0ms

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

sample814.0ms

Algorithm
intervals
Results
538.0ms10487×body80valid

Profiling

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