Details

Time bar (total: 2.7s)

sample227.0ms

Algorithm
intervals
Results
14.0ms430×body80valid
9.0ms430×pre80true

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1406
21056
33546
411026
531896
650026

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

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)
16.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series25.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* m (- 1.0 m))
5.0ms
(/ (* m (- 1.0 m)) v)
15.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify56.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0389602
11946551
25003545

prune131.0ms

Filtered
92 candidates to 61 candidates (33.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New87592
Fresh000
Picked101
Done000
Total88593

Merged error: 0b

Counts
93 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
118×add-sqr-sqrt
109×*-un-lft-identity
73×add-cube-cbrt
26×associate-/r*
20×difference-of-squares
18×distribute-lft-out--
12×add-exp-log add-cbrt-cube
11×flip3-- associate-/r/ flip--
7×associate-*l*
6×div-inv associate-/l*
5×pow1 associate-*r*
4×cbrt-undiv frac-times div-exp
3×add-log-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in associate-*r/ associate-*l/ clear-num
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 175
Calls
3 calls:
5.0ms
(/ v (- 1.0 m))
8.0ms
(/ m (/ v (- 1.0 m)))
32.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series18.0ms

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

simplify87.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06841470
134311414
250011413

prune230.0ms

Filtered
184 candidates to 137 candidates (25.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1831184
Fresh224
Picked011
Done000
Total1854189

Merged error: 0b

Counts
189 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
16×*-un-lft-identity associate-*l*
12×add-cube-cbrt
10×times-frac associate-*r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip--
6×pow1 frac-times
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
3×associate-*l/ prod-exp cbrt-unprod unswap-sqr
2×pow-prod-down *-commutative distribute-lft-out-- add-log-exp difference-of-squares
1×cbrt-undiv div-exp div-inv
Counts
2 → 74
Calls
2 calls:
9.0ms
(* (/ m v) (- 1.0 m))
13.0ms
(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))

series12.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (/ m v) (- 1.0 m))
7.0ms
(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))

simplify51.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0405588
11872542
25002542

prune84.0ms

Filtered
80 candidates to 55 candidates (31.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New80080
Fresh022
Picked011
Done011
Total80484

Merged error: 0b

Counts
84 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
32×frac-times
27×add-sqr-sqrt
23×flip3-- *-un-lft-identity flip--
19×associate-*r*
18×add-exp-log add-cbrt-cube
16×associate-*l/
14×associate-*r/
13×pow1
12×flip3-+ flip-+
11×add-cube-cbrt
9×associate-*l*
8×sqrt-prod
6×prod-exp cbrt-unprod difference-of-squares
5×distribute-rgt-in distribute-lft-in pow-prod-down
4×sub-neg distribute-lft-out-- add-log-exp
3×times-frac associate-/r* *-commutative
2×cbrt-undiv div-exp associate-/l/ distribute-lft-out unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 135
Calls
4 calls:
6.0ms
(* m (- 1.0 m))
8.0ms
(/ (* m (- 1.0 m)) v)
15.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))
21.0ms
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

series41.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* m (- 1.0 m))
5.0ms
(/ (* m (- 1.0 m)) v)
16.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))
15.0ms
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

simplify41.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
08861761
150011541

prune250.0ms

Filtered
147 candidates to 106 candidates (27.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1470147
Fresh011
Picked011
Done022
Total1474151

Merged error: 0b

Counts
151 → 4

regimes78.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106
1106

end0.0ms

sample1.0s

Algorithm
intervals
Results
454.0ms13821×body80valid
244.0ms13821×pre80true

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