Details

Time bar (total: 2.9s)

sample22.0ms

Algorithm
intervals
Results
12.0ms274×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1367
2487
3667
4727
5727

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 24.2b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.5b
(- (* b c) (* a d))
23.8b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite16.0ms

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))
3.0ms
(- (* b c) (* a d))
8.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series157.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ (* c c) (* d d))
39.0ms
(- (* b c) (* a d))
89.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify39.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0292541
11273493
25002491

prune219.0ms

Filtered
64 candidates to 50 candidates (78.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New55964
Fresh000
Picked101
Done000
Total56965

Merged error: 23.4b

Counts
65 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* b c) (* a d))
16.7b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
28.7b
(sqrt (+ (* c c) (* d d)))
28.7b
(sqrt (+ (* c c) (* d d)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
6×pow1 add-exp-log sqrt-div associate-/r* add-cbrt-cube add-log-exp
3×flip3-+ flip-+ associate-/l*
2×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 86
Calls
4 calls:
3.0ms
(- (* b c) (* a d))
9.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
3.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series230.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* b c) (* a d))
113.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
35.0ms
(sqrt (+ (* c c) (* d d)))
39.0ms
(sqrt (+ (* c c) (* d d)))

simplify100.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0304910
1990857
23354845
35001845

prune250.0ms

Filtered
98 candidates to 75 candidates (76.5%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New95398
Fresh088
Picked011
Done000
Total9512107

Merged error: 21.0b

Counts
107 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.5b
(- (* b c) (* a d))
0.7b
(/ 1 (+ (* c c) (* d d)))
23.4b
(* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
4×div-exp prod-exp associate-/r/
3×flip3-- flip3-+ associate-*l* associate-/r* flip-- flip-+ associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×+-commutative sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative inv-pow
Counts
4 → 98
Calls
4 calls:
4.0ms
(+ (* c c) (* d d))
3.0ms
(- (* b c) (* a d))
5.0ms
(/ 1 (+ (* c c) (* d d)))
11.0ms
(* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))

series197.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (* c c) (* d d))
39.0ms
(- (* b c) (* a d))
42.0ms
(/ 1 (+ (* c c) (* d d)))
88.0ms
(* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))

simplify58.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0384857
11929753
25002724

prune205.0ms

Filtered
110 candidates to 68 candidates (61.8%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh01010
Picked011
Done011
Total11012122

Merged error: 21.0b

Counts
122 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.5b
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
0.5b
(- (* b c) (* a d))
23.7b
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×div-exp add-log-exp
6×flip3-- flip-- div-inv associate-/l*
5×pow1
4×cbrt-undiv
2×rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+ associate-/l/
1×+-commutative sub-neg pow-flip diff-log sum-log inv-pow
Counts
4 → 138
Calls
4 calls:
4.0ms
(+ (* c c) (* d d))
9.0ms
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
3.0ms
(- (* b c) (* a d))
8.0ms
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* c c) (* d d))
144.0ms
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
39.0ms
(- (* b c) (* a d))
57.0ms
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))

simplify68.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05161825
125451663
250011577

prune230.0ms

Filtered
150 candidates to 83 candidates (55.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1482150
Fresh369
Picked101
Done022
Total15210162

Merged error: 21.0b

Counts
162 → 10

regimes204.0ms

Accuracy

18.6% (2.5b remaining)

Error of 25.5b against oracle of 22.9b and baseline of 26.0b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02526
12726
22726

end0.0ms

sample516.0ms

Algorithm
intervals
Results
311.0ms8450×body80valid