Details

Time bar (total: 2.2s)

sample26.0ms

Algorithm
intervals
Results
11.0ms270×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06815
16815

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.7b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.4b
(- (* b c) (* a d))
25.1b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 55
Calls
3 calls:
3.0ms
(+ (* c c) (* d d))
3.0ms
(- (* b c) (* a d))
7.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series44.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* c c) (* d d))
10.0ms
(- (* b c) (* a d))
30.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify48.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05289981

prune102.0ms

Filtered
49 candidates to 64 candidates (-30.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New55964
Fresh000
Picked101
Done000
Total56965

Merged error: 19.3b

Counts
65 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

6.5b
(/ b (+ (* c c) (* d d)))
7.9b
(/ a (+ (* c c) (* d d)))
9.0b
(* d (/ a (+ (* c c) (* d d))))
10.4b
(* c (/ b (+ (* c c) (* d d))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
38×times-frac
36×add-cube-cbrt *-un-lft-identity
30×associate-*r*
18×add-exp-log add-cbrt-cube
8×pow1 associate-/r/
6×associate-*l* associate-/r* associate-/l*
4×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 126
Calls
4 calls:
5.0ms
(/ b (+ (* c c) (* d d)))
5.0ms
(/ a (+ (* c c) (* d d)))
8.0ms
(* d (/ a (+ (* c c) (* d d))))
8.0ms
(* c (/ b (+ (* c c) (* d d))))

series54.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(/ b (+ (* c c) (* d d)))
15.0ms
(/ a (+ (* c c) (* d d)))
12.0ms
(* d (/ a (+ (* c c) (* d d))))
12.0ms
(* c (/ b (+ (* c c) (* d d))))

simplify48.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
053331682

prune149.0ms

Filtered
104 candidates to 138 candidates (-32.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1335138
Fresh538
Picked101
Done000
Total1398147

Merged error: 19.3b

Counts
147 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

7.9b
(/ a (+ (* c c) (* d d)))
9.0b
(* d (/ a (+ (* c c) (* d d))))
29.4b
(sqrt (+ (* c c) (* d d)))
29.4b
(sqrt (+ (* c c) (* d d)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×times-frac
15×associate-*r*
11×add-exp-log add-cbrt-cube
8×pow1
6×sqrt-prod
4×flip3-+ sqrt-div associate-/r/ flip-+ add-log-exp
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 93
Calls
4 calls:
5.0ms
(/ a (+ (* c c) (* d d)))
8.0ms
(* d (/ a (+ (* c c) (* d d))))
3.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ a (+ (* c c) (* d d)))
12.0ms
(* d (/ a (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify57.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049861169
149861169

prune114.0ms

Filtered
82 candidates to 105 candidates (-28.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1050105
Fresh077
Picked011
Done000
Total1058113

Merged error: 19.3b

Counts
113 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

6.5b
(/ b (+ (* c c) (* d d)))
10.4b
(* c (/ b (+ (* c c) (* d d))))
29.4b
(sqrt (+ (* c c) (* d d)))
29.4b
(sqrt (+ (* c c) (* d d)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×times-frac
15×associate-*r*
11×add-exp-log add-cbrt-cube
8×pow1
6×sqrt-prod
4×flip3-+ sqrt-div associate-/r/ flip-+ add-log-exp
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 93
Calls
4 calls:
5.0ms
(/ b (+ (* c c) (* d d)))
8.0ms
(* c (/ b (+ (* c c) (* d d))))
3.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series38.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/ b (+ (* c c) (* d d)))
12.0ms
(* c (/ b (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify79.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
049451169
149451169

prune89.0ms

Filtered
82 candidates to 105 candidates (-28.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh066
Picked011
Done011
Total1058113

Merged error: 19.3b

Counts
113 → 8

regimes432.0ms

Accuracy

49.9% (1.5b remaining)

Error of 23.8b against oracle of 22.2b and baseline of 25.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03495
13495

end0.0ms

sample716.0ms

Algorithm
intervals
Results
355.0ms8502×body80valid

Profiling

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