Details

Time bar (total: 2.0s)

sample19.0ms

Algorithm
intervals
Results
8.0ms283×body80valid
1.0ms5×body1280valid
0.0ms3×body640valid
0.0ms2×body320valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune12.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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)
8.0ms
(* d1 (+ (+ 10.0 d2) 20.0))

series7.0ms

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 (23.0ms)

IterNodesCost
0177179
1791157
24227156
35003156

prune55.0ms

Filtered
45 candidates to 28 candidates (37.8%)
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))
4.3b
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
9.4b
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

rewrite49.0ms

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))
10.0ms
(* 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))

simplify83.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0516966
12579841
25002837

prune142.0ms

Filtered
127 candidates to 76 candidates (40.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1261127
Fresh112
Picked011
Done011
Total1274131

Merged error: 0b

Counts
131 → 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))
0.3b
(/ d1 (/ (- (+ 10.0 d2) 20.0) (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))))
10.6b
(/ (- (+ 10.0 d2) 20.0) (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
214×*-un-lft-identity
210×times-frac
139×add-sqr-sqrt
95×add-cube-cbrt
53×difference-of-squares
42×distribute-lft-out--
34×associate-/r*
27×distribute-lft-out
13×add-exp-log add-cbrt-cube
11×pow1 associate-/r/
9×associate-/l*
7×flip3-- flip--
6×flip3-+ swap-sqr flip-+ div-inv add-log-exp
4×cbrt-undiv frac-times div-exp associate-*r* associate-*l*
2×distribute-rgt-in frac-2neg distribute-lft-in associate-*r/ associate-*l/ associate--l+ clear-num associate-/l/
1×pow2 sub-neg pow-plus diff-log div-sub pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 244
Calls
4 calls:
10.0ms
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
8.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
18.0ms
(/ d1 (/ (- (+ 10.0 d2) 20.0) (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))))
15.0ms
(/ (- (+ 10.0 d2) 20.0) (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))

series27.0ms

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))
18.0ms
(/ d1 (/ (- (+ 10.0 d2) 20.0) (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))))
5.0ms
(/ (- (+ 10.0 d2) 20.0) (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))

simplify159.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
08823333
149943064
250013064

prune448.0ms

Filtered
256 candidates to 169 candidates (34.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2560256
Fresh011
Picked011
Done022
Total2564260

Merged error: 0b

Counts
260 → 4

localize9.0ms

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)))

rewrite27.0ms

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)
9.0ms
(* (sqrt d1) (+ (+ 10.0 d2) 20.0))
11.0ms
(* (sqrt d1) (* (sqrt d1) (+ (+ 10.0 d2) 20.0)))

series14.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(+ (+ 10.0 d2) 20.0)
7.0ms
(* (sqrt d1) (+ (+ 10.0 d2) 20.0))
6.0ms
(* (sqrt d1) (* (sqrt d1) (+ (+ 10.0 d2) 20.0)))

simplify47.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0344424
11630368
25003368

prune71.0ms

Filtered
79 candidates to 51 candidates (35.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New79079
Fresh000
Picked011
Done033
Total79483

Merged error: 0b

Counts
83 → 4

regimes79.0ms

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 (1.0ms)

IterNodesCost
0103
1103

end0.0ms

sample476.0ms

Algorithm
intervals
Results
257.0ms8988×body80valid
7.0ms57×body1280valid
5.0ms50×body640valid
2.0ms20×body320valid
1.0ms11×body160valid

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