Details

Time bar (total: 2.5s)

sample28.0ms

Algorithm
intervals
Results
12.0ms270×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: 24.8b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.5b
(+ (* a c) (* b d))
24.3b
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite17.0ms

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:
4.0ms
(+ (* c c) (* d d))
3.0ms
(+ (* a c) (* b d))
8.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series48.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* c c) (* d d))
10.0ms
(+ (* a c) (* b d))
31.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify145.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0272527
11164479
24437477
35002477

prune107.0ms

Filtered
62 candidates to 49 candidates (21.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New55762
Fresh000
Picked011
Done000
Total55863

Merged error: 24.1b

Counts
63 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ (* a c) (* b d))
15.5b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
26.9b
(sqrt (+ (* c c) (* d d)))
26.9b
(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
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)))

series60.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(+ (* a c) (* b d))
36.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify85.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0273893
1868840
22679828
35002828

prune121.0ms

Filtered
96 candidates to 74 candidates (22.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New92496
Fresh246
Picked011
Done011
Total9410104

Merged error: 21.6b

Counts
104 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ (* a c) (* b d))
15.5b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
26.9b
(sqrt (+ (* c c) (* d d)))
26.9b
(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
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)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* a c) (* b d))
37.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify85.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0273893
1868840
22679828
35002828

prune123.0ms

Filtered
96 candidates to 74 candidates (22.9%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New94296
Fresh077
Picked011
Done022
Total9412106

Merged error: 21.6b

Counts
106 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.5b
(+ (* a c) (* b d))
0.9b
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
23.7b
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

rewrite29.0ms

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×flip3-+ div-exp flip-+ add-log-exp
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv
2×+-commutative rec-exp frac-2neg 1-exp clear-num sum-log associate-/l/
1×pow-flip inv-pow
Counts
4 → 137
Calls
4 calls:
4.0ms
(+ (* c c) (* d d))
3.0ms
(+ (* a c) (* b d))
9.0ms
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
8.0ms
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

series65.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* c c) (* d d))
10.0ms
(+ (* a c) (* b d))
30.0ms
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
19.0ms
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

simplify70.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05181819
126321654
250011567

prune99.0ms

Filtered
149 candidates to 84 candidates (43.6%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1481149
Fresh178
Picked011
Done123
Total15011161

Merged error: 21.6b

Counts
161 → 11

regimes490.0ms

Accuracy

-6.2% (2.8b remaining)

Error of 25.6b against oracle of 22.8b and baseline of 25.4b

bsearch20.0ms

Steps
ItersRangePoint
8
1.0033168408846496e+72
1.1587356669235708e+75
1.140810674358096e+75

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02118
12118

end0.0ms

sample755.0ms

Algorithm
intervals
Results
391.0ms8453×body80valid

Profiling

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