Details

Time bar (total: 2.8s)

sample30.0ms

Algorithm
intervals
Results
16.0ms350×body80valid

simplify53.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.2b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b
(* (* z 2.0) (- 1.0 t))
8.1b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1 add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
5×associate-*r* add-log-exp
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in prod-exp cbrt-unprod
3×times-frac pow-prod-down associate-/l*
2×cbrt-undiv flip3-+ associate-*r/ div-exp flip-+ associate-/l/
1×+-commutative flip3-- frac-2neg associate-*l* clear-num associate-/r* sum-log *-commutative flip-- div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 64
Calls
3 calls:
4.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
7.0ms
(* (* z 2.0) (- 1.0 t))
7.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series141.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
47.0ms
(* (* z 2.0) (- 1.0 t))
64.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify44.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0347476
11536413
25001406

prune135.0ms

Filtered
73 candidates to 48 candidates (65.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New69473
Fresh000
Picked011
Done000
Total69574

Merged error: 0.0b

Counts
74 → 5

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ 2.0 z) 2.0)
0.4b
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite21.0ms

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
4×pow1 associate-*r* prod-exp add-log-exp
3×flip3-+ flip-+ unswap-sqr
2×frac-times associate-*r/ div-exp cbrt-unprod distribute-lft-out
1×cbrt-undiv +-commutative distribute-rgt-in rec-exp distribute-lft-in 1-exp pow-prod-down associate-*l/ sum-log *-commutative div-inv
Counts
2 → 54
Calls
2 calls:
7.0ms
(+ (/ 2.0 z) 2.0)
12.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series70.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (/ 2.0 z) 2.0)
37.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0339333
11566280
24975267
35001267

prune113.0ms

Filtered
60 candidates to 41 candidates (68.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New57360
Fresh303
Picked011
Done011
Total60565

Merged error: 0b

Counts
65 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ 2.0 z) 2.0)
0.3b
(/ (+ (/ 2.0 z) 2.0) t)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
3×associate-/r*
2×pow1 flip3-+ flip-+ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
11.0ms
(+ (/ 2.0 z) 2.0)
9.0ms
(/ (+ (/ 2.0 z) 2.0) t)

series89.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (/ 2.0 z) 2.0)
62.0ms
(/ (+ (/ 2.0 z) 2.0) t)

simplify53.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0175281
1508259
21949256
35002251

prune83.0ms

Filtered
51 candidates to 33 candidates (64.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New51051
Fresh022
Picked011
Done022
Total51556

Merged error: 0b

Counts
56 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 z) 2.0)
0.1b
(* t (- (/ 2.0 z) 2.0))
0.3b
(* (/ 2.0 z) (/ 2.0 z))
13.6b
(/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) (* t (- (/ 2.0 z) 2.0)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
46×times-frac
40×*-un-lft-identity
36×add-cube-cbrt
23×add-exp-log add-cbrt-cube
19×associate-*r*
16×associate-*l*
13×pow1 swap-sqr
6×cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp difference-of-squares
5×associate-*r/ div-inv unswap-sqr
4×flip3-- flip-- associate-/l*
3×sub-neg
2×distribute-rgt-in distribute-lft-in pow-prod-down associate-/r/ *-commutative associate-/l/ distribute-lft-out--
1×pow2 frac-times frac-2neg pow-plus diff-log div-sub associate-*l/ clear-num associate-/r* pow-sqr pow-prod-up
Counts
4 → 137
Calls
4 calls:
7.0ms
(- (/ 2.0 z) 2.0)
10.0ms
(* t (- (/ 2.0 z) 2.0))
11.0ms
(* (/ 2.0 z) (/ 2.0 z))
16.0ms
(/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) (* t (- (/ 2.0 z) 2.0)))

series371.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- (/ 2.0 z) 2.0)
37.0ms
(* t (- (/ 2.0 z) 2.0))
24.0ms
(* (/ 2.0 z) (/ 2.0 z))
277.0ms
(/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) (* t (- (/ 2.0 z) 2.0)))

simplify103.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
0631961
13513830
25001793

prune282.0ms

Filtered
149 candidates to 97 candidates (65.1%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1490149
Fresh011
Picked011
Done033
Total1495154

Merged error: 0b

Counts
154 → 5

regimes161.0ms

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

sample771.0ms

Algorithm
intervals
Results
495.0ms10527×body80valid