Details

Time bar (total: 4.9s)

analyze1.3s

Algorithm
search

sample28.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
3.0ms67×body80invalid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 9.7b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b
(* (* z 2.0) (- 1.0 t))
9.7b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
11×*-un-lft-identity
9×pow1 add-sqr-sqrt
8×add-log-exp
7×add-cube-cbrt
5×associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in prod-exp cbrt-unprod
3×flip3-+ times-frac pow-prod-down flip-+ associate-/l*
2×cbrt-undiv +-commutative associate-*r/ div-exp sum-log associate-/l/
1×flip3-- frac-2neg associate-*l* frac-add clear-num associate-/r* *-commutative flip-- div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 77
Calls
4 calls:
3.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
10.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms
(* (* z 2.0) (- 1.0 t))
6.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series35.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
13.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
6.0ms
(* (* z 2.0) (- 1.0 t))
11.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify53.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0444646
11848578
25002571

prune130.0ms

Filtered
61 candidates to 89 candidates (-45.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New83689
Fresh000
Picked101
Done000
Total84690

Merged error: 0.0b

Counts
90 → 6

localize12.0ms

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))
11.0ms
(* (/ 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))
5.0ms
(* (/ 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

prune109.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New64468
Fresh325
Picked101
Done000
Total68674

Merged error: 0b

Counts
74 → 6

localize18.0ms

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)

rewrite49.0ms

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:
32.0ms
(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
15.0ms
(/ (+ (/ 2.0 z) 2.0) t)

series31.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
9.0ms
(/ (+ (/ 2.0 z) 2.0) t)

simplify76.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0307435
1922414
23297406
35002401

prune84.0ms

Filtered
39 candidates to 58 candidates (-48.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New57158
Fresh145
Picked011
Done000
Total58664

Merged error: 0b

Counts
64 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt t) (cbrt t))
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt t) (cbrt t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series84.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (cbrt t) (cbrt t))
22.0ms
(cbrt t)
20.0ms
(cbrt t)
20.0ms
(cbrt t)

simplify70.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune83.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done011
Total85691

Merged error: 0b

Counts
91 → 6

regimes352.0ms

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

analyze1.4s

Algorithm
search

sample796.0ms

Algorithm
intervals
Results
405.0ms8000×body80valid
121.0ms2406×body80invalid

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