Details

Time bar (total: 1.8s)

sample123.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 12.195185%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
7.0ms248×body80valid
0.0ms3×body640valid
0.0ms2×body1280valid
0.0ms3×body320valid
0.0ms2×body80invalid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ 10.0 d2) 20.0)
0.0b
(* d1 (+ (+ 10.0 d2) 20.0))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
7×add-log-exp
6×add-sqr-sqrt distribute-lft-out
5×associate-*r*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*l* sum-log
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
5.0ms
(+ (+ 10.0 d2) 20.0)
7.0ms
(* d1 (+ (+ 10.0 d2) 20.0))

series8.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(+ (+ 10.0 d2) 20.0)
5.0ms
(* d1 (+ (+ 10.0 d2) 20.0))

simplify88.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0177179
1791157
24227156
35003156

prune55.0ms

Filtered
28 candidates to 45 candidates (-60.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New42345
Fresh101
Picked011
Done000
Total43447

Merged error: 0b

Counts
47 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
0.0b
(* (+ 10.0 d2) (+ 10.0 d2))
4.1b
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
7.3b
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
8×distribute-rgt-in distribute-lft-in associate-*r* distribute-lft-out
7×associate-*l*
6×flip3-+ times-frac associate-*r/ swap-sqr associate--l+ associate-/r* flip-+ add-log-exp
4×frac-times flip3-- flip-- distribute-lft-out-- difference-of-squares
3×sub-neg prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ unswap-sqr
1×pow2 frac-2neg pow-plus diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 115
Calls
4 calls:
8.0ms
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
10.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
11.0ms
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
16.0ms
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

series32.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
2.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
9.0ms
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
18.0ms
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

simplify80.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0516966
12579841
25002837

prune137.0ms

Filtered
76 candidates to 127 candidates (-67.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh022
Picked011
Done011
Total1274131

Merged error: 0b

Counts
131 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 10.0 d2) (+ 10.0 d2))
0.1b
(pow (+ 10.0 d2) 3)
2.4b
(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
13.1b
(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
22×flip3-+ flip-+
21×distribute-lft-out
19×add-sqr-sqrt
18×associate-/r/
17×associate-*r*
16×frac-add
15×add-cube-cbrt
14×pow1 add-exp-log add-cbrt-cube
12×frac-times unpow-prod-down cube-prod
10×associate-*r/
8×flip3-- flip--
7×associate-*l*
6×swap-sqr associate-*l/
4×add-log-exp
3×pow-unpow times-frac prod-exp associate-/r* cbrt-unprod
2×cbrt-undiv cube-div distribute-rgt-in distribute-lft-in div-exp pow-prod-down *-commutative associate-/l/ unswap-sqr
1×pow2 cube-mult pow-to-exp pow-pow frac-2neg pow-plus unpow3 pow-exp clear-num pow-sqr sum-cubes pow-prod-up div-inv associate-/l* rem-cube-cbrt sqr-pow
Counts
4 → 140
Calls
4 calls:
7.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
4.0ms
(pow (+ 10.0 d2) 3)
19.0ms
(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
26.0ms
(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

series59.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
2.0ms
(pow (+ 10.0 d2) 3)
19.0ms
(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
36.0ms
(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

simplify43.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09051575
150011433

prune295.0ms

Filtered
91 candidates to 152 candidates (-67.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1520152
Fresh011
Picked011
Done022
Total1524156

Merged error: 0b

Counts
156 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ 10.0 d2) 20.0)
0.1b
(* (sqrt d1) (+ (+ 10.0 d2) 20.0))
0.2b
(* (sqrt d1) (* (sqrt d1) (+ (+ 10.0 d2) 20.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×add-sqr-sqrt associate-*l*
10×pow1 add-exp-log add-cbrt-cube
8×add-cube-cbrt add-log-exp
7×sqrt-prod
6×associate-*r/ associate-*r* distribute-lft-out
5×distribute-rgt-in distribute-lft-in
4×pow-prod-down prod-exp cbrt-unprod
3×flip3-+ sum-log flip-+
2×*-commutative unswap-sqr
1×+-commutative associate-+l+
Counts
3 → 70
Calls
3 calls:
5.0ms
(+ (+ 10.0 d2) 20.0)
8.0ms
(* (sqrt d1) (+ (+ 10.0 d2) 20.0))
10.0ms
(* (sqrt d1) (* (sqrt d1) (+ (+ 10.0 d2) 20.0)))

series14.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(+ (+ 10.0 d2) 20.0)
6.0ms
(* (sqrt d1) (+ (+ 10.0 d2) 20.0))
6.0ms
(* (sqrt d1) (* (sqrt d1) (+ (+ 10.0 d2) 20.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0344424
11630368
25003368

prune65.0ms

Filtered
50 candidates to 79 candidates (-58.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New79079
Fresh000
Picked011
Done033
Total79483

Merged error: 0b

Counts
83 → 4

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103
1103

end0.0ms

sample470.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 12.195185%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
228.0ms7869×body80valid
6.0ms47×body1280valid
4.0ms42×body640valid
2.0ms31×body320valid
1.0ms44×body80invalid
1.0ms11×body160valid

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