Details

Time bar (total: 3.1s)

sample20.0ms

Algorithm
intervals
Results
9.0ms270×body80valid

simplify11.0ms

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: 27.6b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
1.2b
(- (* b c) (* a d))
27.2b
(/ (- (* 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:
3.0ms
(+ (* c c) (* d d))
3.0ms
(- (* b c) (* a d))
8.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series154.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (* c c) (* d d))
42.0ms
(- (* b c) (* a d))
85.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify40.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0292541
11273493
25002491

prune184.0ms

Filtered
64 candidates to 50 candidates (78.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New521264
Fresh000
Picked101
Done000
Total531265

Merged error: 26.9b

Counts
65 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

1.2b
(- (* b c) (* a d))
17.4b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
28.9b
(sqrt (+ (* c c) (* d d)))
28.9b
(sqrt (+ (* c c) (* d d)))

rewrite21.0ms

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)))

series229.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* b c) (* a d))
112.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
34.0ms
(sqrt (+ (* c c) (* d d)))
40.0ms
(sqrt (+ (* c c) (* d d)))

simplify100.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0304910
1990857
23354845
35001845

prune453.0ms

Filtered
98 candidates to 75 candidates (76.5%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New93598
Fresh4711
Picked011
Done000
Total9713110

Merged error: 24.7b

Counts
110 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

1.2b
(- (* b c) (* a d))
17.5b
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
28.9b
(sqrt (+ (* c c) (* d d)))
28.9b
(sqrt (+ (* c c) (* d d)))

rewrite24.0ms

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 add-cbrt-cube associate-/l* add-log-exp
3×flip3-+ associate-/r* flip-+
2×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 85
Calls
4 calls:
3.0ms
(- (* b c) (* a d))
8.0ms
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
6.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series186.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (* b c) (* a d))
77.0ms
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
34.0ms
(sqrt (+ (* c c) (* d d)))
35.0ms
(sqrt (+ (* c c) (* d d)))

simplify71.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0264887
1808842
22357837
35001837

prune260.0ms

Filtered
97 candidates to 74 candidates (76.3%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New96197
Fresh11011
Picked011
Done011
Total9713110

Merged error: 24.7b

Counts
110 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.4b
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
1.2b
(- (* b c) (* a d))
27.0b
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))

rewrite31.0ms

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)))

series252.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* c c) (* d d))
134.0ms
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
40.0ms
(- (* b c) (* a d))
51.0ms
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))

simplify72.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05161825
125451663
250011577

prune223.0ms

Filtered
150 candidates to 86 candidates (57.3%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1491150
Fresh1910
Picked011
Done022
Total15013163

Merged error: 24.7b

Counts
163 → 13

regimes187.0ms

Accuracy

0% (3.0b remaining)

Error of 26.2b against oracle of 23.2b and baseline of 26.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01613
11613

end0.0ms

sample537.0ms

Algorithm
intervals
Results
308.0ms8483×body80valid