Details

Time bar (total: 2.8s)

sample28.0ms

Algorithm
intervals
Results
13.0ms338×body80valid

simplify55.0ms

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: 11.1b

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))
11.1b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite29.0ms

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:
13.0ms
(+ (/ 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))

series152.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
46.0ms
(* (* z 2.0) (- 1.0 t))
60.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify50.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0415543
11753476
25001473

prune168.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
13×add-exp-log associate-*l* add-log-exp
12×add-cube-cbrt
11×times-frac
9×add-cbrt-cube
6×pow1
4×associate-+r+ flip3-+ associate-*r* prod-exp associate--l+ flip-+
3×distribute-rgt-in distribute-lft-in sum-log distribute-lft-out unswap-sqr
2×+-commutative frac-times sub-neg flip3-- diff-log associate-*r/ div-exp frac-add flip-- cbrt-unprod
1×cbrt-undiv associate-+r- rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
22.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
10.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
6.0ms
(+ (/ 2.0 z) 2.0)
12.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series176.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
36.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
28.0ms
(+ (/ 2.0 z) 2.0)
60.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0509710
12130638
25001621

prune257.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
0.0b
(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
0.0b
(+ (/ 2.0 (* t z)) (/ 2.0 t))
0.6b
(/ 2.0 (* t z))

rewrite51.0ms

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:
19.0ms
(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
13.0ms
(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
13.0ms
(+ (/ 2.0 (* t z)) (/ 2.0 t))
4.0ms
(/ 2.0 (* t z))

series164.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
33.0ms
(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
50.0ms
(+ (/ 2.0 (* t z)) (/ 2.0 t))
21.0ms
(/ 2.0 (* t z))

simplify42.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0377616
11293579
25002565

prune180.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
18×add-log-exp
16×times-frac
15×distribute-lft-out
13×add-sqr-sqrt add-cube-cbrt
8×sum-log
6×add-exp-log add-cbrt-cube
4×pow1 flip3-+ flip-+ associate-/l*
3×+-commutative associate-/r*
2×distribute-rgt-neg-in neg-log associate-/l/
1×cbrt-undiv neg-sub0 associate-+r- associate-+l+ frac-2neg div-exp unsub-neg frac-add clear-num div-inv
Counts
4 → 82
Calls
4 calls:
27.0ms
(+ (+ (/ (+ (/ 2.0 z) 2.0) t) (/ x y)) (- 2.0))
19.0ms
(+ (/ (+ (/ 2.0 z) 2.0) t) (/ x y))
6.0ms
(+ (/ 2.0 z) 2.0)
9.0ms
(/ (+ (/ 2.0 z) 2.0) t)

series177.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(+ (+ (/ (+ (/ 2.0 z) 2.0) t) (/ x y)) (- 2.0))
50.0ms
(+ (/ (+ (/ 2.0 z) 2.0) t) (/ x y))
34.0ms
(+ (/ 2.0 z) 2.0)
37.0ms
(/ (+ (/ 2.0 z) 2.0) t)

simplify39.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0351624
11283585
25002571

prune186.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes84.0ms

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

sample732.0ms

Algorithm
intervals
Results
436.0ms10425×body80valid