Details

Time bar (total: 3.7s)

sample23.0ms

Algorithm
intervals
Results
12.0ms270×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 29.1b

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))
28.6b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite16.0ms

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)))

series153.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ (* c c) (* d d))
37.0ms
(- (* b c) (* a d))
85.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify39.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0292541
11273493
25002491

prune170.0ms

Filtered
64 candidates to 50 candidates (78.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New59564
Fresh000
Picked011
Done000
Total59665

Merged error: 28.3b

Counts
65 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(- (* b c) (* a d))
16.7b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
31.5b
(sqrt (+ (* c c) (* d d)))
31.5b
(sqrt (+ (* c c) (* d d)))

rewrite24.0ms

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))
10.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series226.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (* b c) (* a d))
112.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
40.0ms
(sqrt (+ (* c c) (* d d)))
36.0ms
(sqrt (+ (* c c) (* d d)))

simplify102.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0304910
1990857
23354845
35001845

prune243.0ms

Filtered
98 candidates to 75 candidates (76.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New94498
Fresh134
Picked011
Done011
Total959104

Merged error: 26.5b

Counts
104 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

14.7b
(* (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (cbrt (+ (* c c) (* d d)))))
32.5b
(cbrt (+ (* c c) (* d d)))
32.5b
(cbrt (+ (* c c) (* d d)))
32.5b
(cbrt (+ (* c c) (* d d)))

rewrite43.0ms

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:
28.0ms
(* (/ 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)))

series482.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(* (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (cbrt (+ (* c c) (* d d)))))
134.0ms
(cbrt (+ (* c c) (* d d)))
93.0ms
(cbrt (+ (* c c) (* d d)))
98.0ms
(cbrt (+ (* c c) (* d d)))

simplify82.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06002237
128071929
250011759

prune350.0ms

Filtered
131 candidates to 92 candidates (70.2%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1310131
Fresh066
Picked011
Done022
Total1319140

Merged error: 26.5b

Counts
140 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

16.7b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
31.5b
(sqrt (+ (* c c) (* d d)))
31.5b
(sqrt (+ (* c c) (* d d)))
33.6b
(cbrt (pow (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) 3))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod times-frac
50×add-sqr-sqrt
48×add-cube-cbrt *-un-lft-identity
36×sqrt-prod
24×unpow-prod-down cube-prod
10×sqrt-div
6×pow1 add-exp-log associate-/r* associate-/r/ add-cbrt-cube
5×flip3-+ flip-+
4×add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l/
1×cbrt-undiv cube-div cube-mult cbrt-div flip3-- frac-2neg pow1/3 unpow3 div-sub div-exp clear-num flip-- rem-cbrt-cube sqr-pow
Counts
4 → 138
Calls
4 calls:
10.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
4.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))
11.0ms
(cbrt (pow (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) 3))

series301.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
34.0ms
(sqrt (+ (* c c) (* d d)))
39.0ms
(sqrt (+ (* c c) (* d d)))
115.0ms
(cbrt (pow (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) 3))

simplify70.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05761911
123751849
250031739

prune320.0ms

Filtered
150 candidates to 87 candidates (58.0%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1500150
Fresh055
Picked011
Done033
Total1509159

Merged error: 26.5b

Counts
159 → 9

regimes189.0ms

Accuracy

27.3% (2.1b remaining)

Error of 26.1b against oracle of 24.0b and baseline of 26.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02526
12726
22726

end0.0ms

sample785.0ms

Algorithm
intervals
Results
569.0ms8460×body80valid

Profiling

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