Details

Time bar (total: 2.7s)

sample28.0ms

Algorithm
intervals
Results
12.0ms271×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1367
2487
3667
4727
5727

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.4b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.8b
(- (* b c) (* a d))
27.7b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite22.0ms

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))
13.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series45.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* c c) (* d d))
11.0ms
(- (* b c) (* a d))
28.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify41.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0292541
11273493
25001491

prune116.0ms

Filtered
64 candidates to 50 candidates (21.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New57764
Fresh000
Picked011
Done000
Total57865

Merged error: 27.6b

Counts
65 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b
(- (* b c) (* a d))
17.2b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
27.6b
(sqrt (+ (* c c) (* d d)))
27.6b
(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))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series62.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(- (* b c) (* a d))
36.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
9.0ms
(sqrt (+ (* c c) (* d d)))

simplify103.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0304910
1990857
23340845
35003845

prune130.0ms

Filtered
98 candidates to 75 candidates (23.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New94498
Fresh246
Picked101
Done011
Total979106

Merged error: 24.5b

Counts
106 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

9.0b
(* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))
27.6b
(sqrt (+ (* c c) (* d d)))
27.6b
(sqrt (+ (* c c) (* d d)))
27.6b
(sqrt (+ (* c c) (* d d)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
137×add-sqr-sqrt
108×sqrt-prod
99×times-frac
57×*-un-lft-identity
45×add-cube-cbrt
33×associate-*r* associate-*l*
28×unswap-sqr
26×add-exp-log
16×add-cbrt-cube
14×sqrt-div
9×pow1
8×div-exp prod-exp
5×flip3-+ flip-+
4×cbrt-undiv associate-/r/ cbrt-unprod add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
2×rec-exp 1-exp div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 163
Calls
4 calls:
35.0ms
(* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))
7.0ms
(sqrt (+ (* c c) (* d d)))

simplify80.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05683021
125702733
250012579

prune166.0ms

Filtered
175 candidates to 104 candidates (40.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1750175
Fresh077
Picked011
Done011
Total1759184

Merged error: 24.5b

Counts
184 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

9.1b
(cbrt (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))
27.7b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
27.7b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
27.7b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×cbrt-prod
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
8×associate-/r/
6×associate-/l/
4×pow1 flip3-+ flip-+ div-inv add-log-exp
3×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip--
1×cbrt-div pow1/3
Counts
4 → 120
Calls
4 calls:
6.0ms
(cbrt (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))
9.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
8.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
8.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series159.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(cbrt (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))
28.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
28.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
30.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify53.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03801586
113501478
250011468

prune142.0ms

Filtered
132 candidates to 109 candidates (17.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1320132
Fresh066
Picked011
Done022
Total1329141

Merged error: 24.5b

Counts
141 → 9

regimes462.0ms

Accuracy

25.5% (2.2b remaining)

Error of 24.9b against oracle of 22.7b and baseline of 25.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02320
12520
22520

end0.0ms

sample773.0ms

Algorithm
intervals
Results
394.0ms8428×body80valid

Profiling

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