Details

Time bar (total: 4.1s)

sample26.0ms

Algorithm
intervals
Results
13.0ms321×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0258
1478
2968
31658
42418
53908
611938
750028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize14.0ms

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))

rewrite41.0ms

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:
11.0ms
(* (* 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))

series155.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* (* z 2.0) (- 1.0 t))
46.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
63.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify50.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0415543
11753476
25001473

prune163.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 2.0 z) 2.0)
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
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite103.0ms

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:
9.0ms
(+ (/ 2.0 z) 2.0)
13.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
42.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
37.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series153.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (/ 2.0 z) 2.0)
30.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
55.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
37.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0509710
12130638
25001621

prune234.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite487.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
21×add-sqr-sqrt
13×add-cube-cbrt times-frac add-log-exp
7×distribute-lft-out
6×add-exp-log add-cbrt-cube
4×pow1 associate-/l* difference-of-squares
3×flip3-+ associate-/r* sum-log flip-+
2×+-commutative sub-neg unpow-prod-down associate-+r+ flip3-- diff-log frac-add flip-- associate-/l/ distribute-lft-out--
1×cbrt-undiv associate-+r- frac-2neg div-exp clear-num div-inv sqr-pow
Counts
4 → 81
Calls
4 calls:
9.0ms
(+ (/ 2.0 z) 2.0)
174.0ms
(- (pow (/ (+ (/ 2.0 z) 2.0) t) 1) 2.0)
274.0ms
(+ (/ x y) (- (pow (/ (+ (/ 2.0 z) 2.0) t) 1) 2.0))
27.0ms
(/ (+ (/ 2.0 z) 2.0) t)

series153.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (/ 2.0 z) 2.0)
28.0ms
(- (pow (/ (+ (/ 2.0 z) 2.0) t) 1) 2.0)
51.0ms
(+ (/ x y) (- (pow (/ (+ (/ 2.0 z) 2.0) t) 1) 2.0))
39.0ms
(/ (+ (/ 2.0 z) 2.0) t)

simplify41.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0371679
11148638
25001617

prune232.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (/ 2.0 z) 2.0))
0.0b
(sqrt (+ (/ 2.0 z) 2.0))
0.3b
(/ t (sqrt (+ (/ 2.0 z) 2.0)))
0.3b
(/ (sqrt (+ (/ 2.0 z) 2.0)) (/ t (sqrt (+ (/ 2.0 z) 2.0))))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
306×*-un-lft-identity
232×sqrt-prod
192×add-sqr-sqrt
190×add-cube-cbrt
58×distribute-lft-out
34×associate-/r*
24×sqrt-div
19×associate-/r/
12×flip3-+ flip-+
11×add-exp-log add-cbrt-cube
10×div-inv associate-/l*
6×pow1
4×cbrt-undiv div-exp add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 317
Calls
4 calls:
24.0ms
(sqrt (+ (/ 2.0 z) 2.0))
18.0ms
(sqrt (+ (/ 2.0 z) 2.0))
15.0ms
(/ t (sqrt (+ (/ 2.0 z) 2.0)))
45.0ms
(/ (sqrt (+ (/ 2.0 z) 2.0)) (/ t (sqrt (+ (/ 2.0 z) 2.0))))

series233.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(sqrt (+ (/ 2.0 z) 2.0))
39.0ms
(sqrt (+ (/ 2.0 z) 2.0))
107.0ms
(/ t (sqrt (+ (/ 2.0 z) 2.0)))
43.0ms
(/ (sqrt (+ (/ 2.0 z) 2.0)) (/ t (sqrt (+ (/ 2.0 z) 2.0))))

simplify114.0ms

Algorithm
egg-herbie
Counts
329 → 329
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07784743
138324238
250014190

prune690.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes219.0ms

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 (0.0ms)

IterNodesCost
0187
1187

end0.0ms

sample716.0ms

Algorithm
intervals
Results
430.0ms10351×body80valid