Details

Time bar (total: 2.4s)

sample33.0ms

Algorithm
intervals
Results
16.0ms267×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06815
16815

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.9b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
1.0b
(- (* b c) (* a d))
28.3b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite18.0ms

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:
4.0ms
(+ (* c c) (* d d))
4.0ms
(- (* b c) (* a d))
9.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series50.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(+ (* c c) (* d d))
11.0ms
(- (* b c) (* a d))
30.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify27.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
05289981

prune119.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New531164
Fresh000
Picked101
Done000
Total541165

Merged error: 23.5b

Counts
65 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

5.3b
(/ b (+ (* c c) (* d d)))
7.4b
(/ a (+ (* c c) (* d d)))
12.5b
(* c (/ b (+ (* c c) (* d d))))
12.6b
(* d (/ a (+ (* c c) (* d d))))

rewrite34.0ms

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)))
6.0ms
(/ a (+ (* c c) (* d d)))
10.0ms
(* c (/ b (+ (* c c) (* d d))))
9.0ms
(* d (/ a (+ (* c c) (* d d))))

series61.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ b (+ (* c c) (* d d)))
15.0ms
(/ a (+ (* c c) (* d d)))
13.0ms
(* c (/ b (+ (* c c) (* d d))))
14.0ms
(* d (/ a (+ (* c c) (* d d))))

simplify43.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
053331682

prune182.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1335138
Fresh4610
Picked101
Done000
Total13811149

Merged error: 23.5b

Counts
149 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

5.3b
(/ b (+ (* c c) (* d d)))
12.5b
(* c (/ b (+ (* c c) (* d d))))
29.4b
(sqrt (+ (* c c) (* d d)))
29.4b
(sqrt (+ (* c c) (* d d)))

rewrite26.0ms

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:
6.0ms
(/ b (+ (* c c) (* d d)))
9.0ms
(* c (/ b (+ (* c c) (* d d))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series41.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/ b (+ (* c c) (* d d)))
13.0ms
(* c (/ b (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify74.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049451169
149451169

prune140.0ms

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

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1050105
Fresh01010
Picked011
Done000
Total10511116

Merged error: 23.5b

Counts
116 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

7.4b
(/ a (+ (* c c) (* d d)))
12.6b
(* d (/ a (+ (* c c) (* d d))))
29.4b
(sqrt (+ (* c c) (* d d)))
29.4b
(sqrt (+ (* c c) (* d d)))

rewrite26.0ms

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:
6.0ms
(/ a (+ (* c c) (* d d)))
9.0ms
(* d (/ a (+ (* c c) (* d d))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series44.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ a (+ (* c c) (* d d)))
14.0ms
(* d (/ a (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify51.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049861169
149861169

prune103.0ms

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

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1041105
Fresh189
Picked101
Done011
Total10610116

Merged error: 23.5b

Counts
116 → 10

regimes476.0ms

Accuracy

46.4% (1.8b remaining)

Error of 24.0b against oracle of 22.2b and baseline of 25.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03897
13897

end0.0ms

sample834.0ms

Algorithm
intervals
Results
419.0ms8461×body80valid

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