Details

Time bar (total: 3.4s)

sample281.0ms

Algorithm
intervals
Results
12.0ms450×body80valid
7.0ms450×pre80true

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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)

rewrite32.0ms

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:
7.0ms
(* m (- 1.0 m))
7.0ms
(/ (* m (- 1.0 m)) v)
14.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series143.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* m (- 1.0 m))
37.0ms
(/ (* m (- 1.0 m)) v)
58.0ms
(* (- (/ (* 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

prune167.0ms

Filtered
80 candidates to 52 candidates (65.0%)
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))

rewrite30.0ms

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×prod-exp associate-/r* cbrt-unprod 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 → 96
Calls
3 calls:
6.0ms
(/ (- 1.0 m) v)
10.0ms
(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
10.0ms
(* m (/ (- 1.0 m) v))

series107.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (- 1.0 m) v)
35.0ms
(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
39.0ms
(* m (/ (- 1.0 m) v))

simplify53.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0370577
11676528
25001522

prune220.0ms

Filtered
105 candidates to 71 candidates (67.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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 div-exp associate-/r/ 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 → 101
Calls
4 calls:
6.0ms
(* v (+ 1.0 m))
10.0ms
(/ (- (* 1.0 1.0) (* m m)) (* v (+ 1.0 m)))
13.0ms
(* (- (* 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))))

series224.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* v (+ 1.0 m))
54.0ms
(/ (- (* 1.0 1.0) (* m m)) (* v (+ 1.0 m)))
62.0ms
(* (- (* m (/ (- (* 1.0 1.0) (* m m)) (* v (+ 1.0 m)))) 1.0) m)
72.0ms
(* m (/ (- (* 1.0 1.0) (* m m)) (* v (+ 1.0 m))))

simplify73.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0488916
12807783
25001781

prune261.0ms

Filtered
113 candidates to 80 candidates (70.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
110×times-frac
69×add-sqr-sqrt
61×sqrt-prod
59×*-un-lft-identity
55×add-cube-cbrt
22×add-exp-log add-cbrt-cube
12×associate-/r*
11×associate-/l*
10×associate-*l*
9×div-inv
8×pow1 associate-*r*
7×cbrt-undiv div-exp
4×associate-*r/ prod-exp cbrt-unprod add-log-exp difference-of-squares
3×flip3-- flip-- associate-/l/
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out-- unswap-sqr
Counts
4 → 172
Calls
4 calls:
7.0ms
(* m (- 1.0 m))
32.0ms
(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
8.0ms
(/ (* m (- 1.0 m)) (sqrt v))
15.0ms
(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series196.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* m (- 1.0 m))
48.0ms
(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
53.0ms
(/ (* m (- 1.0 m)) (sqrt v))
51.0ms
(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify87.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06821603
131951370
250021360

prune370.0ms

Filtered
184 candidates to 110 candidates (59.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes49.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136
1156
2156

end0.0ms

sample755.0ms

Algorithm
intervals
Results
340.0ms13811×body80valid
182.0ms13811×pre80true