Details

Time bar (total: 2.7s)

analyze256.0ms

Algorithm
search

sample24.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
6.0ms259×pre80true
0.0ms3×body80invalid

simplify510.0ms

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize10.0ms

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)

rewrite29.0ms

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)
13.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series26.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* m (- 1.0 m))
6.0ms
(/ (* m (- 1.0 m)) v)
16.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify59.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0310409
11511363
25001357

prune115.0ms

Filtered
52 candidates to 80 candidates (-53.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New72880
Fresh000
Picked101
Done000
Total73881

Merged error: 0.0b

Counts
81 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* m (- 1.0 m))
0.2b
(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
0.3b
(* (* m (- 1.0 m)) (/ 1 v))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
21×associate-*r*
20×add-sqr-sqrt
19×add-cbrt-cube
16×*-un-lft-identity
14×add-cube-cbrt prod-exp
12×pow1
9×times-frac
8×cbrt-unprod
7×associate-*r/ associate-*l*
5×pow-prod-down
4×flip3-- div-exp associate-*l/ flip--
3×*-commutative add-log-exp
2×cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp unswap-sqr
1×un-div-inv div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 88
Calls
3 calls:
6.0ms
(* m (- 1.0 m))
13.0ms
(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
10.0ms
(* (* m (- 1.0 m)) (/ 1 v))

series17.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* m (- 1.0 m))
7.0ms
(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
6.0ms
(* (* m (- 1.0 m)) (/ 1 v))

simplify62.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0435556
12325478
25001460

prune105.0ms

Filtered
57 candidates to 97 candidates (-70.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh077
Picked011
Done000
Total978105

Merged error: 0.0b

Counts
105 → 8

localize7.0ms

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)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
116×add-sqr-sqrt
107×*-un-lft-identity
73×add-cube-cbrt
26×associate-/r*
19×difference-of-squares
17×distribute-lft-out--
12×add-exp-log add-cbrt-cube
11×associate-/r/
7×associate-*l*
6×flip3-- flip-- div-inv associate-/l*
5×pow1
4×cbrt-undiv div-exp
3×associate-*r* add-log-exp
2×frac-2neg associate-*l/ clear-num
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 163
Calls
3 calls:
5.0ms
(/ v (- 1.0 m))
8.0ms
(/ m (/ v (- 1.0 m)))
28.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series18.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ v (- 1.0 m))
5.0ms
(/ m (/ v (- 1.0 m)))
7.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify81.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06041275
129671224
250011223

prune212.0ms

Filtered
128 candidates to 172 candidates (-34.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1720172
Fresh066
Picked011
Done011
Total1728180

Merged error: 0.0b

Counts
180 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
0.3b
(/ (- 1.0 m) (sqrt v))
0.3b
(/ m (sqrt v))
0.4b
(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
128×add-sqr-sqrt
108×times-frac
96×*-un-lft-identity
70×add-cube-cbrt
60×sqrt-prod
37×associate-*r*
25×associate-*l*
22×add-exp-log add-cbrt-cube
13×distribute-lft-out-- difference-of-squares
12×associate-/r*
10×unswap-sqr
8×pow1 associate-/l*
6×cbrt-undiv div-exp
5×prod-exp cbrt-unprod
4×div-inv add-log-exp
3×associate-*l/
2×flip3-- frac-2neg pow-prod-down clear-num *-commutative flip-- associate-/l/
1×frac-times div-sub associate-*r/
Counts
4 → 200
Calls
4 calls:
13.0ms
(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
6.0ms
(/ (- 1.0 m) (sqrt v))
4.0ms
(/ m (sqrt v))
25.0ms
(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series36.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
9.0ms
(/ (- 1.0 m) (sqrt v))
7.0ms
(/ m (sqrt v))
9.0ms
(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify86.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
07571686
135741572
250011508

prune193.0ms

Filtered
137 candidates to 212 candidates (-54.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2102212
Fresh235
Picked101
Done022
Total2137220

Merged error: 0.0b

Counts
220 → 7

regimes105.0ms

Accuracy

0% (0.2b 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
0156
1156

end0.0ms

analyze50.0ms

Algorithm
search

sample561.0ms

Algorithm
intervals
Results
260.0ms8000×body80valid
160.0ms8064×pre80true
2.0ms64×body80invalid

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