Details

Time bar (total: 3.0s)

sample23.0ms

Algorithm
intervals
Results
12.0ms275×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: 27.3b

Counts
2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* b c) (* a d))
26.8b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
3.0ms
(- (* b c) (* a d))
9.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series122.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (* b c) (* a d))
85.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify100.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0251464
1938427
23504426
35001426

prune136.0ms

Filtered
50 candidates to 39 candidates (78.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New41950
Fresh000
Picked101
Done000
Total42951

Merged error: 26.5b

Counts
51 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* b c) (* a d))
17.9b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
28.0b
(sqrt (+ (* c c) (* d d)))
28.0b
(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)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series222.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (* b c) (* a d))
110.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
37.0ms
(sqrt (+ (* c c) (* d d)))
35.0ms
(sqrt (+ (* c c) (* d d)))

simplify97.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0304910
1990857
23354845
35001845

prune238.0ms

Filtered
98 candidates to 75 candidates (76.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New94498
Fresh358
Picked011
Done000
Total9710107

Merged error: 24.2b

Counts
107 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))
17.9b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
28.0b
(sqrt (+ (* c c) (* d d)))
28.0b
(sqrt (+ (* c c) (* d d)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
28×add-exp-log
24×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×sqrt-div
9×div-exp
8×pow1 prod-exp
6×associate-/r* associate-/r/
5×cbrt-undiv flip3-+ flip-+
4×cbrt-unprod add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp associate-/l/
1×frac-times flip3-- frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
4 → 161
Calls
4 calls:
25.0ms
(* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d 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)))

series317.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))
112.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
35.0ms
(sqrt (+ (* c c) (* d d)))
38.0ms
(sqrt (+ (* c c) (* d d)))

simplify75.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05822518
126382255
250022130

prune358.0ms

Filtered
173 candidates to 112 candidates (64.7%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1721173
Fresh088
Picked011
Done011
Total17211183

Merged error: 24.2b

Counts
183 → 11

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b
(- (* b c) (* a d))
0.5b
(/ 1 (+ (* c c) (* d d)))
26.6b
(* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×flip3-- associate-*l* associate-/r* flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 87
Calls
3 calls:
3.0ms
(- (* b c) (* a d))
5.0ms
(/ 1 (+ (* c c) (* d d)))
12.0ms
(* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))

series161.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- (* b c) (* a d))
36.0ms
(/ 1 (+ (* c c) (* d d)))
85.0ms
(* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))

simplify47.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0343780
11563687
25002659

prune152.0ms

Filtered
96 candidates to 60 candidates (62.5%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New95196
Fresh178
Picked011
Done022
Total9611107

Merged error: 24.2b

Counts
107 → 11

regimes174.0ms

Accuracy

-12.3% (3.1b remaining)

Error of 26.5b against oracle of 23.4b and baseline of 26.2b

bsearch69.0ms

Steps
ItersRangePoint
4
-1.6011762021323867e+220
-8.131698632731864e+219
-1.5666623877864712e+220
9
-1.6942347812983941e+252
-2.5289840191256324e+246
-2.893295982991967e+246

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03227
13427
23427

end0.0ms

sample584.0ms

Algorithm
intervals
Results
378.0ms8469×body80valid

Profiling

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