Details

Time bar (total: 4.3s)

sample281.0ms

Algorithm
intervals
Results
10.0ms422×body80valid
6.0ms422×pre80true

simplify120.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0165
1345
2675
31695
43455
54665
66705
710145
815285
921175
1030375
1150015

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* m (- 1.0 m))
0.0b
(/ (* m (- 1.0 m)) v)
0.2b
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity
12×add-exp-log add-cbrt-cube
9×add-cube-cbrt
8×associate-*r* associate-*l*
7×pow1
4×associate-*r/
3×flip3-- times-frac prod-exp associate-/r* flip-- cbrt-unprod add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
3 → 71
Calls
3 calls:
9.0ms
(* m (- 1.0 m))
19.0ms
(/ (* m (- 1.0 m)) v)
36.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series128.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* m (- 1.0 m))
39.0ms
(/ (* m (- 1.0 m)) v)
44.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify46.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0310409
11511363
25001357

prune146.0ms

Filtered
80 candidates to 52 candidates (65.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1.0 m) (* (- m) m))
0.0b
(/ (+ (* 1.0 m) (* (- m) m)) v)
0.2b
(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) m)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
13×times-frac
7×add-exp-log add-cbrt-cube
6×associate-*l*
5×pow1 distribute-rgt-out add-log-exp
4×distribute-lft-neg-out associate-/l*
3×associate-*r* associate-/r*
2×flip3-+ div-sub unsub-neg associate-*l/ flip-+ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
3 → 72
Calls
3 calls:
2.0ms
(+ (* 1.0 m) (* (- m) m))
8.0ms
(/ (+ (* 1.0 m) (* (- m) m)) v)
73.0ms
(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) m)

series139.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(+ (* 1.0 m) (* (- m) m))
45.0ms
(/ (+ (* 1.0 m) (* (- m) m)) v)
38.0ms
(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) m)

simplify45.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0315647
11365566
25001552

prune174.0ms

Filtered
81 candidates to 60 candidates (74.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ 1.0 (- m)))
0.1b
(/ m (/ v (+ 1.0 (- m))))
0.2b
(* (- (/ m (/ v (+ 1.0 (- m)))) 1.0) m)

rewrite281.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
139×*-un-lft-identity
84×add-sqr-sqrt
73×add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-rgt-neg-in
12×add-exp-log add-cbrt-cube
11×associate-/r/
7×associate-*l*
6×div-inv associate-/l*
5×pow1 flip3-+ flip-+
4×cbrt-undiv div-exp
3×associate-*r* add-log-exp difference-of-squares
2×frac-2neg associate-*l/ clear-num
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
3 → 163
Calls
3 calls:
9.0ms
(/ v (+ 1.0 (- m)))
13.0ms
(/ m (/ v (+ 1.0 (- m))))
250.0ms
(* (- (/ m (/ v (+ 1.0 (- m)))) 1.0) m)

series110.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ v (+ 1.0 (- m)))
36.0ms
(/ m (/ v (+ 1.0 (- m))))
38.0ms
(* (- (/ m (/ v (+ 1.0 (- m)))) 1.0) m)

simplify75.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05661419
127451294
250021280

prune320.0ms

Filtered
172 candidates to 113 candidates (65.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ v (- (pow 1.0 3) (pow m 3)))
0.1b
(* (/ v (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* (- m) (- m)) (* 1.0 (- m)))))
0.1b
(/ m (* (/ v (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* (- m) (- m)) (* 1.0 (- m))))))
0.2b
(* (- (/ m (* (/ v (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* (- m) (- m)) (* 1.0 (- m)))))) 1.0) m)

rewrite353.0ms

Algorithm
rewrite-expression-head
Rules
245×add-sqr-sqrt
154×times-frac
140×*-un-lft-identity
113×difference-of-squares
86×associate-*l*
84×unpow-prod-down cube-prod
68×add-cube-cbrt
56×sqr-pow
36×distribute-lft-out--
26×associate-/r*
22×add-exp-log add-cbrt-cube
9×associate-/r/
8×pow1
7×difference-cubes
6×cbrt-undiv div-exp associate-*r* associate-/l*
5×prod-exp cbrt-unprod
4×frac-times flip3-+ associate-*r/ associate-*l/ flip-+ add-log-exp
3×flip3-- flip-- div-inv unswap-sqr
2×frac-2neg pow-prod-down clear-num *-commutative
1×distribute-rgt-in distribute-lft-in
Counts
4 → 273
Calls
4 calls:
28.0ms
(/ v (- (pow 1.0 3) (pow m 3)))
106.0ms
(* (/ v (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* (- m) (- m)) (* 1.0 (- m)))))
29.0ms
(/ m (* (/ v (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* (- m) (- m)) (* 1.0 (- m))))))
172.0ms
(* (- (/ m (* (/ v (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* (- m) (- m)) (* 1.0 (- m)))))) 1.0) m)

series324.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ v (- (pow 1.0 3) (pow m 3)))
84.0ms
(* (/ v (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* (- m) (- m)) (* 1.0 (- m)))))
100.0ms
(/ m (* (/ v (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* (- m) (- m)) (* 1.0 (- m))))))
92.0ms
(* (- (/ m (* (/ v (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* (- m) (- m)) (* 1.0 (- m)))))) 1.0) m)

simplify59.0ms

Algorithm
egg-herbie
Counts
285 → 285
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011423700
150013317

prune732.0ms

Filtered
285 candidates to 178 candidates (62.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes65.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02816
13716
23916
36816
410016
511116
612616
713516
813516

end0.0ms

sample738.0ms

Algorithm
intervals
Results
321.0ms13708×body80valid
182.0ms13708×pre80true