Details

Time bar (total: 2.6s)

sample297.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 87.530532%

Space saved by search: 92.701663%

Guaranteed chance to sample good point: 98.446217%

Results
8.0ms256×body80valid
5.0ms256×pre80true

simplify477.0ms

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

rewrite39.0ms

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:
6.0ms
(* m (- 1.0 m))
17.0ms
(/ (* 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)

simplify45.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0310409
11511363
25001357

prune115.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New74680
Fresh000
Picked101
Done000
Total75681

Merged error: 0.0b

Counts
81 → 6

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)
0.3b
(* 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)
9.0ms
(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
9.0ms
(* m (/ (- 1.0 m) v))

series17.0ms

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

simplify49.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0370577
11676528
25002522

prune122.0ms

Filtered
71 candidates to 105 candidates (-47.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1041105
Fresh055
Picked011
Done000
Total1047111

Merged error: 0b

Counts
111 → 7

localize9.0ms

Local error

Found 4 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) (sqrt m))
0.4b
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
18×add-exp-log add-cbrt-cube
17×*-un-lft-identity associate-*r*
13×pow1 add-cube-cbrt
9×associate-*l*
7×sqrt-prod
6×associate-*l/ prod-exp cbrt-unprod
5×pow-prod-down
4×flip3-- associate-*r/ flip-- add-log-exp
3×times-frac associate-/r* *-commutative unswap-sqr
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 98
Calls
4 calls:
6.0ms
(* m (- 1.0 m))
9.0ms
(/ (* m (- 1.0 m)) v)
13.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
14.0ms
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series35.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* m (- 1.0 m))
5.0ms
(/ (* m (- 1.0 m)) v)
14.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
11.0ms
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify67.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0510737
12490643
25001633

prune120.0ms

Filtered
70 candidates to 110 candidates (-57.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1091110
Fresh145
Picked011
Done011
Total1107117

Merged error: 0b

Counts
117 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt v) (cbrt v))
0.7b
(cbrt v)
0.7b
(cbrt v)
0.7b
(cbrt v)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt v) (cbrt v))
1.0ms
(cbrt v)
1.0ms
(cbrt v)
1.0ms
(cbrt v)

series95.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cbrt v) (cbrt v))
22.0ms
(cbrt v)
22.0ms
(cbrt v)
24.0ms
(cbrt v)

simplify73.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune77.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done022
Total85792

Merged error: 0b

Counts
92 → 7

regimes108.0ms

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
0105
1105

end0.0ms

sample693.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 87.530532%

Space saved by search: 92.701663%

Guaranteed chance to sample good point: 98.446217%

Results
256.0ms8000×body80valid
154.0ms8026×pre80true
1.0ms26×body80invalid

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