Details

Time bar (total: 3.1s)

sample25.0ms

Algorithm
intervals
Results
14.0ms269×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1367
2487
3667
4727
5727

prune3.0ms

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: 30.2b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.2b
(- (* b c) (* a d))
29.7b
(/ (- (* 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:
3.0ms
(+ (* c c) (* d d))
3.0ms
(- (* b c) (* a d))
8.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series151.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ (* c c) (* d d))
37.0ms
(- (* b c) (* a d))
84.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify37.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0292541
11273493
25002491

prune176.0ms

Filtered
64 candidates to 50 candidates (78.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New55964
Fresh000
Picked101
Done000
Total56965

Merged error: 29.3b

Counts
65 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b c) (* a d))
18.7b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
32.7b
(sqrt (+ (* c c) (* d d)))
32.7b
(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))
10.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
3.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series228.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* b c) (* a d))
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)))

simplify96.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0304910
1990857
23354845
35001845

prune258.0ms

Filtered
98 candidates to 75 candidates (76.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New92698
Fresh628
Picked101
Done000
Total998107

Merged error: 28.4b

Counts
107 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b c) (* a d))
18.8b
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
32.7b
(sqrt (+ (* c c) (* d d)))
32.7b
(sqrt (+ (* c c) (* d d)))

rewrite27.0ms

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))
14.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
3.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series228.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (* b c) (* a d))
117.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
34.0ms
(sqrt (+ (* c c) (* d d)))
38.0ms
(sqrt (+ (* c c) (* d d)))

simplify48.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0378916
11785831
25001807

prune253.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1070107
Fresh077
Picked011
Done000
Total1078115

Merged error: 28.4b

Counts
115 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d))))
18.7b
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
32.7b
(sqrt (+ (* c c) (* d d)))
32.7b
(sqrt (+ (* c c) (* d d)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
100×add-sqr-sqrt
98×add-cube-cbrt *-un-lft-identity
54×sqrt-prod
27×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
9×associate-/l*
8×div-exp
7×pow1
6×sqrt-div div-inv
5×flip3-- flip--
4×cbrt-undiv add-log-exp
3×flip3-+ flip-+
2×rem-sqrt-square rec-exp frac-2neg sqrt-pow1 pow1/2 1-exp clear-num associate-/l/
1×pow-flip inv-pow
Counts
4 → 193
Calls
4 calls:
11.0ms
(/ 1 (/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d))))
9.0ms
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
3.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series264.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(/ 1 (/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d))))
81.0ms
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
35.0ms
(sqrt (+ (* c c) (* d d)))
35.0ms
(sqrt (+ (* c c) (* d d)))

simplify69.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05742905
124492677
250022540

prune348.0ms

Filtered
205 candidates to 107 candidates (52.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2050205
Fresh066
Picked011
Done011
Total2058213

Merged error: 28.4b

Counts
213 → 8

regimes124.0ms

Accuracy

0% (2.9b remaining)

Error of 26.1b against oracle of 23.2b and baseline of 26.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02114
12114

end0.0ms

sample583.0ms

Algorithm
intervals
Results
369.0ms8456×body80valid