Details

Time bar (total: 3.7s)

sample51.0ms

Algorithm
intervals
Results
24.0ms321×body80valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0258
1478
2968
31658
42418
53908
611938
750028

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.7b

localize18.0ms

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)))
8.6b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite117.0ms

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:
25.0ms
(* (* z 2.0) (- 1.0 t))
39.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
51.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series160.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* (* z 2.0) (- 1.0 t))
47.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
59.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify51.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0415543
11753476
25001473

prune165.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite145.0ms

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:
21.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
65.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
57.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series112.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
51.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
34.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0499648
12111584
25001567

prune192.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite329.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
17×add-sqr-sqrt
13×times-frac
12×add-cube-cbrt
10×add-log-exp
6×distribute-lft-out
5×add-exp-log add-cbrt-cube
4×associate-/l*
3×pow1 associate-/r*
2×sub-neg associate-+r+ flip3-- flip3-+ diff-log frac-add sum-log flip-- flip-+ associate-/l/ distribute-lft-out-- difference-of-squares
1×cbrt-undiv +-commutative associate-+r- frac-2neg div-exp clear-num div-inv
Counts
3 → 67
Calls
3 calls:
102.0ms
(- (/ (+ (/ 2.0 z) 2.0) t) 2.0)
183.0ms
(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
41.0ms
(/ (+ (/ 2.0 z) 2.0) t)

series108.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- (/ (+ (/ 2.0 z) 2.0) t) 2.0)
41.0ms
(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
37.0ms
(/ (+ (/ 2.0 z) 2.0) t)

simplify75.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0325566
1950542
23362528
35002520

prune204.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 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))
0.1b
(/ t (+ (/ 2.0 z) 2.0))
0.1b
(/ 1 (/ t (+ (/ 2.0 z) 2.0)))

rewrite478.0ms

Algorithm
rewrite-expression-head
Rules
120×times-frac
108×*-un-lft-identity
78×add-sqr-sqrt
64×add-cube-cbrt
22×associate-/r*
19×distribute-lft-out
17×add-exp-log
11×associate-/r/ add-cbrt-cube add-log-exp
8×div-exp div-inv
6×flip3-+ flip-+ associate-/l*
5×pow1 difference-of-squares
4×cbrt-undiv distribute-lft-out--
2×sub-neg rec-exp associate-+r+ flip3-- frac-2neg diff-log 1-exp frac-add clear-num sum-log flip--
1×+-commutative associate-+r- pow-flip inv-pow
Counts
4 → 168
Calls
4 calls:
137.0ms
(- (/ 1 (/ t (+ (/ 2.0 z) 2.0))) 2.0)
280.0ms
(+ (/ x y) (- (/ 1 (/ t (+ (/ 2.0 z) 2.0))) 2.0))
21.0ms
(/ t (+ (/ 2.0 z) 2.0))
30.0ms
(/ 1 (/ t (+ (/ 2.0 z) 2.0)))

series152.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- (/ 1 (/ t (+ (/ 2.0 z) 2.0))) 2.0)
52.0ms
(+ (/ x y) (- (/ 1 (/ t (+ (/ 2.0 z) 2.0))) 2.0))
39.0ms
(/ t (+ (/ 2.0 z) 2.0))
34.0ms
(/ 1 (/ t (+ (/ 2.0 z) 2.0)))

simplify70.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
06401572
127061333
250021312

prune285.0ms

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
0136
1136

end0.0ms

sample737.0ms

Algorithm
intervals
Results
378.0ms10501×body80valid