Details

Time bar (total: 3.9s)

sample279.0ms

Algorithm
intervals
Results
11.0ms450×body80valid
7.0ms450×pre80true

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0166
1406
21056
33546
411026
531896
650026

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×*-un-lft-identity
12×add-exp-log add-cbrt-cube
10×associate-*r*
9×add-cube-cbrt
8×flip3-- associate-*l* flip--
7×pow1
6×associate-*r/
4×distribute-rgt-in frac-times sub-neg distribute-lft-in
3×times-frac prod-exp associate-/r* cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative associate-/l/ unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
3 → 83
Calls
3 calls:
6.0ms
(* m (- 1.0 m))
7.0ms
(/ (* m (- 1.0 m)) v)
17.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series149.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* m (- 1.0 m))
38.0ms
(/ (* m (- 1.0 m)) v)
61.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify57.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0389602
11946551
25003545

prune185.0ms

Filtered
92 candidates to 61 candidates (66.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
20×add-sqr-sqrt
16×*-un-lft-identity
13×associate-*r*
11×associate-*l*
10×pow1 add-cube-cbrt associate-*r/
8×flip3-- flip--
7×prod-exp cbrt-unprod
5×distribute-rgt-in distribute-lft-in
4×cbrt-undiv frac-times sub-neg div-exp add-log-exp
3×pow-prod-down *-commutative difference-of-squares unswap-sqr
2×flip3-+ associate-*l/ associate-/r/ flip-+ associate-/l/ distribute-lft-out--
1×frac-2neg times-frac clear-num associate-/r* div-inv distribute-lft-out associate-/l*
Counts
4 → 107
Calls
4 calls:
6.0ms
(* v (+ 1.0 m))
6.0ms
(* m (- (* 1.0 1.0) (* m m)))
11.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
18.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))

series243.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* v (+ 1.0 m))
73.0ms
(* m (- (* 1.0 1.0) (* m m)))
73.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
64.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))

simplify99.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05741110
13496973
25002973

prune267.0ms

Filtered
119 candidates to 79 candidates (66.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
14×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt associate-*r/ prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp associate-*l*
4×flip3-- associate-/r/ flip-- associate-/l/ add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in flip3-+ times-frac pow-prod-down associate-*l/ clear-num associate-/r* *-commutative flip-+ div-inv associate-/l* difference-of-squares unswap-sqr
1×neg-mul-1 distribute-rgt-neg-out distribute-lft-out--
Counts
4 → 105
Calls
4 calls:
6.0ms
(* m (- (* 1.0 1.0) (* m m)))
11.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
11.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
21.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- m))

series278.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* m (- (* 1.0 1.0) (* m m)))
73.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
68.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
64.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- m))

simplify81.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
04941105
12995913
25002913

prune311.0ms

Filtered
117 candidates to 80 candidates (68.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* m (- (* 1.0 1.0) (* m m)))
0.1b
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
8.6b
(/ (pow m 3) v)
14.1b
(/ (pow m 2) v)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
61×times-frac
50×add-sqr-sqrt
48×add-cube-cbrt *-un-lft-identity
28×add-exp-log
24×unpow-prod-down
22×add-cbrt-cube
21×associate-/l*
12×cube-prod
10×div-exp
8×sqr-pow
7×associate-/r*
6×pow1 cbrt-undiv associate-*r/
5×prod-exp cbrt-unprod
4×cube-mult unpow3 associate-*r* unpow2 add-log-exp
3×frac-2neg associate-*l* clear-num div-inv
2×distribute-rgt-in pow-to-exp sub-neg flip3-- distribute-lft-in pow-exp associate-/r/ flip-- associate-/l/
1×flip3-+ pow-prod-down *-commutative flip-+ difference-of-squares unswap-sqr
Counts
4 → 164
Calls
4 calls:
7.0ms
(* m (- (* 1.0 1.0) (* m m)))
11.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
9.0ms
(/ (pow m 3) v)
5.0ms
(/ (pow m 2) v)

series186.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* m (- (* 1.0 1.0) (* m m)))
75.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
21.0ms
(/ (pow m 3) v)
19.0ms
(/ (pow m 2) v)

simplify155.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (143.0ms)

IterNodesCost
0616967
14138823
25001809

prune481.0ms

Filtered
176 candidates to 103 candidates (58.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes50.0ms

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
02917
12917

end0.0ms

sample746.0ms

Algorithm
intervals
Results
324.0ms13811×body80valid
191.0ms13811×pre80true