Details

Time bar (total: 2.3s)

sample31.0ms

Algorithm
intervals
Results
12.0ms267×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0157
1157

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: 26.7b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.8b
(+ (* a c) (* b d))
26.2b
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite17.0ms

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×flip3-+ associate-/r* flip-+ associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 42
Calls
2 calls:
3.0ms
(+ (* a c) (* b d))
12.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series36.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (* a c) (* b d))
26.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify85.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0231450
1847413
22837412
35001412

prune91.0ms

Filtered
48 candidates to 38 candidates (20.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New41748
Fresh000
Picked101
Done000
Total42749

Merged error: 25.9b

Counts
49 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.8b
(+ (* a c) (* b d))
16.8b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
31.0b
(sqrt (+ (* c c) (* d d)))
31.0b
(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:
3.0ms
(+ (* 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)))

series56.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ (* a c) (* b d))
35.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify89.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0273893
1868840
22679828
35002828

prune126.0ms

Filtered
96 candidates to 74 candidates (22.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New90696
Fresh336
Picked011
Done000
Total9310103

Merged error: 23.4b

Counts
103 → 10

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (+ (* c c) (* d d)))
0.8b
(+ (* a c) (* b d))
26.1b
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

rewrite22.0ms

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×flip3-+ flip-+ add-log-exp
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×+-commutative pow-flip frac-2neg associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative inv-pow
Counts
3 → 86
Calls
3 calls:
5.0ms
(/ 1 (+ (* c c) (* d d)))
3.0ms
(+ (* a c) (* b d))
12.0ms
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

series48.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ 1 (+ (* c c) (* d d)))
15.0ms
(+ (* a c) (* b d))
27.0ms
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

simplify56.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0352774
11671681
25002653

prune107.0ms

Filtered
95 candidates to 59 candidates (37.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New94195
Fresh178
Picked011
Done011
Total9510105

Merged error: 23.4b

Counts
105 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.8b
(+ (* a c) (* b d))
26.1b
(* (+ (* a c) (* b d)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
31.0b
(sqrt (+ (* c c) (* d d)))
31.0b
(sqrt (+ (* c c) (* d d)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
270×times-frac
173×add-sqr-sqrt
150×associate-*r*
141×sqrt-prod
138×*-un-lft-identity
134×add-cube-cbrt
19×add-exp-log
18×sqrt-div
14×associate-/r/
13×add-cbrt-cube
12×flip3-+ flip-+ unswap-sqr
8×pow1 div-inv
6×div-exp add-log-exp
5×prod-exp
3×cbrt-undiv associate-*l* cbrt-unprod
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/
1×+-commutative rec-exp 1-exp associate-*r/ pow-prod-down sum-log *-commutative
Counts
4 → 228
Calls
4 calls:
3.0ms
(+ (* a c) (* b d))
44.0ms
(* (+ (* a c) (* b d)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
3.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series47.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ (* a c) (* b d))
26.0ms
(* (+ (* a c) (* b d)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify58.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
09753429
150012870

prune165.0ms

Filtered
240 candidates to 128 candidates (46.7%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New2400240
Fresh077
Picked011
Done022
Total24010250

Merged error: 23.4b

Counts
250 → 10

regimes343.0ms

Accuracy

0% (2.6b remaining)

Error of 26.1b against oracle of 23.6b and baseline of 26.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01713
11713

end0.0ms

sample739.0ms

Algorithm
intervals
Results
401.0ms8436×body80valid

Profiling

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