Details

Time bar (total: 5.0s)

analyze1.4s

Algorithm
search

sample32.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
4.0ms82×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: 8.9b

Counts
2 → 1

localize11.0ms

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))
8.9b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite24.0ms

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:
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))

series28.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
6.0ms
(* (* z 2.0) (- 1.0 t))
9.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify55.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0415543
11753476
25001473

prune106.0ms

Filtered
48 candidates to 71 candidates (-47.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New66571
Fresh000
Picked011
Done000
Total66672

Merged error: 0.0b

Counts
72 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity
13×associate-*l*
12×add-exp-log
11×add-cube-cbrt times-frac
10×add-log-exp
8×add-cbrt-cube
5×pow1
4×associate-+r+ flip3-+ associate-*r* prod-exp flip-+
3×sum-log distribute-lft-out unswap-sqr
2×+-commutative distribute-rgt-in frac-times distribute-lft-in associate-*r/ div-exp frac-add associate--l+ cbrt-unprod
1×cbrt-undiv associate-+r- sub-neg rec-exp flip3-- diff-log 1-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv
Counts
3 → 74
Calls
3 calls:
6.0ms
(+ (/ 2.0 z) 2.0)
16.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
12.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series21.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (/ 2.0 z) 2.0)
13.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
5.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0499587
12115523
25001506

prune159.0ms

Filtered
60 candidates to 83 candidates (-38.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New79483
Fresh314
Picked101
Done011
Total83689

Merged error: 0b

Counts
89 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 2.0 z) 2.0)
0.0b
(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
0.1b
(/ (+ (/ 2.0 z) 2.0) t)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
10×add-log-exp
7×distribute-lft-out
5×add-exp-log add-cbrt-cube
4×associate-/l*
3×pow1 flip3-+ associate-/r* sum-log flip-+
2×+-commutative associate-+r+ frac-add associate-/l/
1×cbrt-undiv associate-+r- sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- div-inv distribute-lft-out--
Counts
3 → 64
Calls
3 calls:
7.0ms
(+ (/ 2.0 z) 2.0)
18.0ms
(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
8.0ms
(/ (+ (/ 2.0 z) 2.0) t)

series22.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (/ 2.0 z) 2.0)
14.0ms
(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
5.0ms
(/ (+ (/ 2.0 z) 2.0) t)

simplify94.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0329497
1978468
23769460
35001455

prune96.0ms

Filtered
49 candidates to 73 candidates (-49.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New70373
Fresh314
Picked011
Done011
Total73679

Merged error: 0b

Counts
79 → 6

localize15.0ms

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)

series90.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt t) (cbrt t))
24.0ms
(cbrt t)
21.0ms
(cbrt t)
21.0ms
(cbrt t)

simplify78.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune78.0ms

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

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done022
Total85691

Merged error: 0b

Counts
91 → 6

regimes491.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0136
1136

end0.0ms

analyze1.3s

Algorithm
search

sample762.0ms

Algorithm
intervals
Results
393.0ms8000×body80valid
110.0ms2346×body80invalid

Profiling

Loading profile data...