Details

Time bar (total: 3.0s)

sample26.0ms

Algorithm
intervals
Results
13.0ms332×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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* z 2.0) (- 1.0 t))
0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.9b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite26.0ms

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:
7.0ms
(* (* z 2.0) (- 1.0 t))
10.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
6.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series155.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* (* z 2.0) (- 1.0 t))
50.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
63.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify47.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0415543
11753476
25001473

prune172.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

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))

rewrite32.0ms

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))
12.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series95.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
42.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0489525
12096469
25001452

prune167.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x y) (/ (+ 2.0 (/ (* (* z 2.0) (- (* 1.0 1.0) (* t t))) (+ 1.0 t))) (* t z)))
3.8b
(* (* z 2.0) (- (* 1.0 1.0) (* t t)))
7.9b
(/ (+ 2.0 (/ (* (* z 2.0) (- (* 1.0 1.0) (* t t))) (+ 1.0 t))) (* t z))
9.8b
(/ (* (* z 2.0) (- (* 1.0 1.0) (* t t))) (+ 1.0 t))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
19×*-un-lft-identity
9×pow1 add-sqr-sqrt add-cube-cbrt
8×times-frac
7×prod-exp cbrt-unprod
6×add-log-exp
5×cbrt-undiv div-exp associate-/r* distribute-lft-out associate-/l*
4×associate-*r/ associate-*r* associate-/l/
3×flip3-+ pow-prod-down flip-+
2×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in clear-num associate-/r/ flip-- div-inv
1×+-commutative associate-*l* frac-add sum-log *-commutative difference-of-squares
Counts
4 → 92
Calls
4 calls:
16.0ms
(+ (/ x y) (/ (+ 2.0 (/ (* (* z 2.0) (- (* 1.0 1.0) (* t t))) (+ 1.0 t))) (* t z)))
7.0ms
(* (* z 2.0) (- (* 1.0 1.0) (* t t)))
11.0ms
(/ (+ 2.0 (/ (* (* z 2.0) (- (* 1.0 1.0) (* t t))) (+ 1.0 t))) (* t z))
11.0ms
(/ (* (* z 2.0) (- (* 1.0 1.0) (* t t))) (+ 1.0 t))

series398.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(+ (/ x y) (/ (+ 2.0 (/ (* (* z 2.0) (- (* 1.0 1.0) (* t t))) (+ 1.0 t))) (* t z)))
73.0ms
(* (* z 2.0) (- (* 1.0 1.0) (* t t)))
130.0ms
(/ (+ 2.0 (/ (* (* z 2.0) (- (* 1.0 1.0) (* t t))) (+ 1.0 t))) (* t z))
99.0ms
(/ (* (* z 2.0) (- (* 1.0 1.0) (* t t))) (+ 1.0 t))

simplify85.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06151123
13039951
25001951

prune257.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.6b
(* y (* t z))
2.8b
(+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
3.5b
(* x (* t z))
23.8b
(/ (+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))) (* y (* t z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
14×pow1
9×prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*l* pow-prod-down add-log-exp
3×cbrt-undiv times-frac div-exp associate-/l*
2×associate-+r+ flip3-+ associate-*r* *-commutative flip-+ associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r* sum-log div-inv
Counts
4 → 74
Calls
4 calls:
5.0ms
(* y (* t z))
5.0ms
(+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
5.0ms
(* x (* t z))
10.0ms
(/ (+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))) (* y (* t z)))

series288.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* y (* t z))
68.0ms
(+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
25.0ms
(* x (* t z))
172.0ms
(/ (+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))) (* y (* t z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0382760
11861622
25002622

prune206.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes114.0ms

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
0187
1187

end0.0ms

sample683.0ms

Algorithm
intervals
Results
418.0ms10421×body80valid