Details

Time bar (total: 4.7s)

sample47.0ms

Algorithm
intervals
Results
33.0ms341×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0258
1478
2968
31658
42418
53908
611938
750028

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* z 2.0) (- 1.0 t))
0.0b
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.7b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite44.0ms

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:
11.0ms
(* (* z 2.0) (- 1.0 t))
3.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
18.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series184.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (* z 2.0) (- 1.0 t))
33.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
46.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
62.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify55.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0444646
11848578
25002571

prune194.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-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+ associate-*r* prod-exp associate--l+
3×distribute-rgt-in distribute-lft-in flip3-+ flip-+ unswap-sqr
2×frac-times sub-neg flip3-- diff-log associate-*r/ div-exp frac-add sum-log flip-- cbrt-unprod distribute-lft-out
1×cbrt-undiv +-commutative associate-+r- rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
3 → 76
Calls
3 calls:
12.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
41.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
36.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series125.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
56.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
38.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0499648
12111584
25001567

prune191.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
0.0b
(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
0.0b
(+ (/ 2.0 (* t z)) (/ 2.0 t))
0.5b
(/ 2.0 (* t z))

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
20×add-log-exp
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
7×distribute-lft-out
6×add-cube-cbrt sum-log
4×pow1 diff-log distribute-lft-out--
3×associate-+r+ times-frac frac-add div-inv associate-/l*
2×cbrt-undiv +-commutative sub-neg flip3-- flip3-+ div-exp associate--l+ flip-- flip-+
1×associate-+r- frac-2neg prod-exp clear-num associate-/r* cbrt-unprod difference-of-squares
Counts
4 → 74
Calls
4 calls:
103.0ms
(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
175.0ms
(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
12.0ms
(+ (/ 2.0 (* t z)) (/ 2.0 t))
3.0ms
(/ 2.0 (* t z))

series156.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
53.0ms
(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
48.0ms
(+ (/ 2.0 (* t z)) (/ 2.0 t))
22.0ms
(/ 2.0 (* t z))

simplify44.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0377616
11293579
25002565

prune179.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite950.0ms

Algorithm
rewrite-expression-head
Rules
77×times-frac
66×*-un-lft-identity
48×add-sqr-sqrt
46×add-cube-cbrt
20×add-log-exp
13×associate-/l*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
6×sum-log
5×div-inv
4×pow1 diff-log distribute-lft-out--
3×cbrt-undiv associate-+r+ div-exp frac-add associate-/r*
2×+-commutative sub-neg flip3-- flip3-+ associate--l+ flip-- flip-+
1×associate-+r- frac-2neg clear-num associate-/l/ difference-of-squares
Counts
4 → 123
Calls
4 calls:
339.0ms
(- (+ (/ (/ 2.0 t) z) (/ 2.0 t)) 2.0)
557.0ms
(+ (/ x y) (- (+ (/ (/ 2.0 t) z) (/ 2.0 t)) 2.0))
43.0ms
(+ (/ (/ 2.0 t) z) (/ 2.0 t))
6.0ms
(/ (/ 2.0 t) z)

series156.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- (+ (/ (/ 2.0 t) z) (/ 2.0 t)) 2.0)
55.0ms
(+ (/ x y) (- (+ (/ (/ 2.0 t) z) (/ 2.0 t)) 2.0))
48.0ms
(+ (/ (/ 2.0 t) z) (/ 2.0 t))
21.0ms
(/ (/ 2.0 t) z)

simplify62.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0592978
12221941
25002941

prune322.0ms

Pruning

5 alts after pruning (3 fresh and 2 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
0157
1157

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s10514×body80valid