Details

Time bar (total: 3.3s)

sample278.0ms

Algorithm
intervals
Results
12.0ms450×body80valid
7.0ms450×pre80true

simplify127.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0165
1345
2725
31885
44065
56365
69385
713125
819695
929325
1039125
1150015

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff
12×add-exp-log add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
8×associate-*r* associate-*l*
7×pow1
4×associate-*r/
3×expm1-log1p-u flip3-- times-frac prod-exp associate-/r* flip-- cbrt-unprod log1p-expm1-u add-log-exp
2×cbrt-undiv sub-neg 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 → 95
Calls
3 calls:
7.0ms
(* m (- 1.0 m))
8.0ms
(/ (* m (- 1.0 m)) v)
14.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series136.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* m (- 1.0 m))
36.0ms
(/ (* m (- 1.0 m)) v)
53.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify60.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0394683
11939511
25001505

prune168.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
25×add-cube-cbrt
22×associate-*r*
12×add-exp-log add-cbrt-cube
7×pow1 distribute-lft-out-- difference-of-squares
6×associate-*l*
5×associate-/l*
3×expm1-log1p-u prod-exp associate-/r* cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×cbrt-undiv flip3-- div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv associate-/l/
1×frac-2neg div-sub associate-*r/ clear-num
Counts
3 → 102
Calls
3 calls:
7.0ms
(/ (- 1.0 m) v)
12.0ms
(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
9.0ms
(* m (/ (- 1.0 m) v))

series105.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (- 1.0 m) v)
37.0ms
(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
36.0ms
(* m (/ (- 1.0 m) v))

simplify51.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0384599
11676549
25003543

prune203.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
17×associate-*r*
15×*-un-lft-identity
13×add-cube-cbrt
10×pow1
9×associate-*l*
8×times-frac
7×associate-*r/ prod-exp cbrt-unprod
4×cbrt-undiv expm1-log1p-u div-exp associate-/r/ log1p-expm1-u associate-/l* add-log-exp
3×flip3-+ pow-prod-down *-commutative flip-+ difference-of-squares unswap-sqr
2×flip3-- associate-*l/ flip-- div-inv associate-/l/
1×distribute-rgt-in frac-2neg distribute-lft-in div-sub clear-num associate-/r* distribute-lft-out
Counts
4 → 109
Calls
4 calls:
6.0ms
(* v (+ 1.0 m))
10.0ms
(/ (- (* 1.0 1.0) (* m m)) (* v (+ 1.0 m)))
15.0ms
(* (- (* m (/ (- (* 1.0 1.0) (* m m)) (* v (+ 1.0 m)))) 1.0) m)
12.0ms
(* m (/ (- (* 1.0 1.0) (* m m)) (* v (+ 1.0 m))))

series216.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* v (+ 1.0 m))
56.0ms
(/ (- (* 1.0 1.0) (* m m)) (* v (+ 1.0 m)))
58.0ms
(* (- (* m (/ (- (* 1.0 1.0) (* m m)) (* v (+ 1.0 m)))) 1.0) m)
70.0ms
(* m (/ (- (* 1.0 1.0) (* m m)) (* v (+ 1.0 m))))

simplify79.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0511968
12873834
25001832

prune255.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* m (- 1.0 m))
0.2b
(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
0.3b
(/ (* m (- 1.0 m)) (sqrt v))
0.3b
(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
110×times-frac
81×add-sqr-sqrt
71×*-un-lft-identity
67×add-cube-cbrt
61×sqrt-prod
22×add-exp-log add-cbrt-cube
18×prod-diff
12×associate-/r*
11×distribute-rgt-in distribute-lft-in associate-/l*
10×associate-*l*
9×div-inv
8×pow1 associate-*r*
7×cbrt-undiv div-exp
4×expm1-log1p-u associate-*r/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp difference-of-squares
3×flip3-- flip-- associate-/l/
2×sub-neg frac-2neg pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out-- unswap-sqr
Counts
4 → 198
Calls
4 calls:
7.0ms
(* m (- 1.0 m))
28.0ms
(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
9.0ms
(/ (* m (- 1.0 m)) (sqrt v))
11.0ms
(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series192.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* m (- 1.0 m))
43.0ms
(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
56.0ms
(/ (* m (- 1.0 m)) (sqrt v))
45.0ms
(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify107.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
07761900
137661543
250021528

prune344.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes45.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample761.0ms

Algorithm
intervals
Results
337.0ms13811×body80valid
194.0ms13811×pre80true