Details

Time bar (total: 2.1s)

sample36.0ms

Algorithm
intervals
Results
16.0ms337×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0258
1478
2968
31658
42418
53908
611938
750028

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.9b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.9b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
*-un-lft-identity
add-sqr-sqrt add-cube-cbrt add-log-exp
times-frac associate-/l*
pow1 cbrt-undiv flip3-+ div-exp flip-+ associate-/l/
+-commutative frac-2neg frac-add prod-exp clear-num associate-/r* sum-log cbrt-unprod div-inv distribute-lft-out
Counts
2 → 36
Calls
2 calls:
14.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series24.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
9.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify36.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0283409
11039362
25001359

prune81.0ms

Filtered
32 candidates to 42 candidates (-31.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New37542
Fresh000
Picked101
Done000
Total38543

Merged error: 0.0b

Counts
43 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
0.2b
(* (/ 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
add-cbrt-cube add-log-exp
pow1 associate-+r+ associate-*r* prod-exp
flip3-+ flip-+ unswap-sqr
distribute-rgt-in frac-times distribute-lft-in associate-*r/ div-exp frac-add associate--l+ sum-log cbrt-unprod distribute-lft-out
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:
16.0ms
(+ (/ 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:
12.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
5.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0489525
12096469
25001452

prune92.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New67168
Fresh134
Picked101
Done000
Total69473

Merged error: 0b

Counts
73 → 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
add-log-exp
distribute-lft-out
add-exp-log add-cbrt-cube associate-/l*
associate-/r*
pow1 associate-+r+ flip3-+ frac-add sum-log flip-+ associate-/l/
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))
8.0ms
(/ (+ (/ 2.0 z) 2.0) t)

series17.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
5.0ms
(/ (+ (/ 2.0 z) 2.0) t)

simplify70.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
0307435
1922414
23297406
35002401

prune70.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New58058
Fresh033
Picked011
Done000
Total58462

Merged error: 0b

Counts
62 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 2.0 (+ (/ 1 (* t z)) (/ 1 t))) (/ x y))
0.0b
(+ (/ 1 (* t z)) (/ 1 t))
0.6b
(/ 1 (* t z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log
*-un-lft-identity
add-cbrt-cube
add-log-exp
pow1
add-sqr-sqrt add-cube-cbrt frac-add div-inv
div-exp distribute-lft-out
flip3-+ times-frac associate-*r/ prod-exp flip-+ associate-/l*
cbrt-undiv +-commutative rec-exp associate-+l+ pow-flip 1-exp sum-log
distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* cbrt-unprod inv-pow
Counts
3 → 60
Calls
3 calls:
14.0ms
(+ (* 2.0 (+ (/ 1 (* t z)) (/ 1 t))) (/ x y))
9.0ms
(+ (/ 1 (* t z)) (/ 1 t))
6.0ms
(/ 1 (* t z))

series16.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (* 2.0 (+ (/ 1 (* t z)) (/ 1 t))) (/ x y))
4.0ms
(+ (/ 1 (* t z)) (/ 1 t))
2.0ms
(/ 1 (* t z))

simplify40.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0344448
11492404
25001400

prune58.0ms

Filtered
39 candidates to 69 candidates (-76.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New68169
Fresh112
Picked011
Done011
Total69473

Merged error: 0b

Counts
73 → 4

regimes270.0ms

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

sample971.0ms

Algorithm
intervals
Results
492.0ms10388×body80valid

Profiling

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