Details

Time bar (total: 3.6s)

sample23.0ms

Algorithm
intervals
Results
12.0ms271×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 28.8b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.7b
(- (* b c) (* a d))
28.2b
(/ (- (* b c) (* a 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
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))
8.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series159.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (* c c) (* d d))
42.0ms
(- (* b c) (* a d))
89.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify42.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0292541
11273493
25001491

prune177.0ms

Filtered
64 candidates to 50 candidates (78.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New57764
Fresh000
Picked011
Done000
Total57865

Merged error: 27.9b

Counts
65 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b
(- (* b c) (* a d))
18.3b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
29.9b
(sqrt (+ (* c c) (* d d)))
29.9b
(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
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)))

series240.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* b c) (* a d))
120.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
36.0ms
(sqrt (+ (* c c) (* d d)))
40.0ms
(sqrt (+ (* c c) (* d d)))

simplify103.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0304910
1990857
23340845
35003845

prune345.0ms

Filtered
98 candidates to 75 candidates (76.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New94498
Fresh336
Picked011
Done011
Total979106

Merged error: 24.3b

Counts
106 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(- (* b c) (* a d))
18.4b
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
29.9b
(sqrt (+ (* c c) (* d d)))
29.9b
(sqrt (+ (* c c) (* d d)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×associate-*r*
22×*-un-lft-identity times-frac
20×add-cube-cbrt
17×sqrt-prod
13×add-exp-log
9×add-cbrt-cube
8×pow1
6×sqrt-div add-log-exp
5×unswap-sqr
4×prod-exp
3×flip3-- flip3-+ associate-*l* flip-- flip-+
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ associate-/r/ cbrt-unprod
1×cbrt-undiv sub-neg rec-exp diff-log 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
4 → 95
Calls
4 calls:
3.0ms
(- (* b c) (* a d))
15.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series261.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(- (* b c) (* a d))
127.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
38.0ms
(sqrt (+ (* c c) (* d d)))
40.0ms
(sqrt (+ (* c c) (* d d)))

simplify52.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0378916
11785831
25001807

prune250.0ms

Filtered
107 candidates to 74 candidates (69.2%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh066
Picked011
Done022
Total1079116

Merged error: 24.3b

Counts
116 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

13.5b
(* (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (cbrt (+ (* c c) (* d d)))))
30.9b
(cbrt (+ (* c c) (* d d)))
30.9b
(cbrt (+ (* c c) (* d d)))
30.9b
(cbrt (+ (* c c) (* d d)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
24×associate-*r*
22×add-cube-cbrt
21×cbrt-prod
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-+ associate-/r/ flip-+
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 119
Calls
4 calls:
34.0ms
(* (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (cbrt (+ (* c c) (* d d)))))
3.0ms
(cbrt (+ (* c c) (* d d)))
3.0ms
(cbrt (+ (* c c) (* d d)))
3.0ms
(cbrt (+ (* c c) (* d d)))

series491.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(* (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (cbrt (+ (* c c) (* d d)))))
154.0ms
(cbrt (+ (* c c) (* d d)))
97.0ms
(cbrt (+ (* c c) (* d d)))
99.0ms
(cbrt (+ (* c c) (* d d)))

simplify85.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06002237
128071929
250011759

prune336.0ms

Filtered
131 candidates to 92 candidates (70.2%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1310131
Fresh055
Picked011
Done033
Total1319140

Merged error: 24.3b

Counts
140 → 9

regimes213.0ms

Accuracy

5.7% (2.8b remaining)

Error of 25.7b against oracle of 22.9b and baseline of 25.8b

bsearch2.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02526
12726
22726

end0.0ms

sample603.0ms

Algorithm
intervals
Results
378.0ms8438×body80valid

Profiling

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