Details

Time bar (total: 2.2s)

sample26.0ms

Algorithm
intervals
Results
11.0ms266×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01515
11515

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.6b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.7b
(+ (* a c) (* b d))
25.1b
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite19.0ms

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
4×flip3-+ flip-+
3×pow1 associate-/r* associate-/l*
2×+-commutative sum-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 53
Calls
3 calls:
6.0ms
(+ (* c c) (* d d))
3.0ms
(+ (* a c) (* b d))
8.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series42.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* c c) (* d d))
9.0ms
(+ (* a c) (* b d))
27.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify28.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
05430951

prune117.0ms

Filtered
48 candidates to 62 candidates (-29.2%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New511162
Fresh000
Picked011
Done000
Total511263

Merged error: 24.8b

Counts
63 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b
(+ (* a c) (* b d))
16.1b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
29.1b
(sqrt (+ (* c c) (* d d)))
29.1b
(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
5×flip3-+ flip-+
3×associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 84
Calls
4 calls:
4.0ms
(+ (* a c) (* b d))
9.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
3.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series57.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* a c) (* b d))
34.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
8.0ms
(sqrt (+ (* c c) (* d d)))

simplify40.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050701525

prune129.0ms

Filtered
76 candidates to 96 candidates (-26.3%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New90696
Fresh6410
Picked011
Done011
Total9612108

Merged error: 22.0b

Counts
108 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(+ (* c a) (* d b))
16.1b
(/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* d b)))
29.1b
(sqrt (+ (* c c) (* d d)))
29.1b
(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 add-cbrt-cube associate-/l* add-log-exp
5×flip3-+ flip-+
3×associate-/r*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 84
Calls
4 calls:
3.0ms
(+ (* c a) (* d b))
9.0ms
(/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* d b)))
3.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series44.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* c a) (* d b))
23.0ms
(/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* d b)))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify49.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050151540

prune121.0ms

Filtered
73 candidates to 96 candidates (-31.5%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh099
Picked011
Done022
Total9612108

Merged error: 22.0b

Counts
108 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.5b
(/ 1 (+ (* c c) (* d d)))
0.7b
(+ (* a c) (* b d))
24.8b
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

rewrite27.0ms

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
6×flip3-+ flip-+
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv +-commutative frac-times rec-exp 1-exp associate-*l/ sum-log cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 97
Calls
4 calls:
4.0ms
(+ (* c c) (* d d))
5.0ms
(/ 1 (+ (* c c) (* d d)))
3.0ms
(+ (* a c) (* b d))
12.0ms
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

series47.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* c c) (* d d))
6.0ms
(/ 1 (+ (* c c) (* d d)))
10.0ms
(+ (* a c) (* b d))
26.0ms
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

simplify54.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
054771453

prune90.0ms

Filtered
70 candidates to 109 candidates (-55.7%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New1090109
Fresh088
Picked011
Done033
Total10912121

Merged error: 22.0b

Counts
121 → 12

regimes501.0ms

Accuracy

23.2% (2.2b remaining)

Error of 25.6b against oracle of 23.5b and baseline of 26.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02253
12253

end0.0ms

sample714.0ms

Algorithm
intervals
Results
357.0ms8495×body80valid

Profiling

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