Details

Time bar (total: 6.8s)

sample68.0ms

Algorithm
intervals
Results
27.0ms304×body80valid
8.0ms94×body80nan

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
0490418
1490418

prune17.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.6b

Counts
2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

1.7b
(* w0 (sqrt (- 1.0 (* (pow (* M (/ D (* 2.0 d))) 2.0) (/ h l)))))
3.8b
(sqrt (- 1.0 (* (pow (* M (/ D (* 2.0 d))) 2.0) (/ h l))))
6.3b
(* M (/ D (* 2.0 d)))
10.8b
(* (pow (* M (/ D (* 2.0 d))) 2.0) (/ h l))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log
34×add-sqr-sqrt
26×associate-*r*
25×prod-exp
20×add-cbrt-cube
19×add-cube-cbrt *-un-lft-identity
14×times-frac
12×div-exp
11×associate-*l*
9×pow1
8×pow-exp
7×sqrt-prod cbrt-unprod unswap-sqr
4×sqrt-div associate-*r/ add-log-exp
3×cbrt-undiv *-commutative sqr-pow
2×pow-to-exp flip3-- pow-prod-down flip-- div-inv
1×unpow-prod-down rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 111
Calls
4 calls:
7.0ms
(* w0 (sqrt (- 1.0 (* (pow (* M (/ D (* 2.0 d))) 2.0) (/ h l)))))
4.0ms
(sqrt (- 1.0 (* (pow (* M (/ D (* 2.0 d))) 2.0) (/ h l))))
7.0ms
(* M (/ D (* 2.0 d)))
9.0ms
(* (pow (* M (/ D (* 2.0 d))) 2.0) (/ h l))

series560.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(* w0 (sqrt (- 1.0 (* (pow (* M (/ D (* 2.0 d))) 2.0) (/ h l)))))
154.0ms
(sqrt (- 1.0 (* (pow (* M (/ D (* 2.0 d))) 2.0) (/ h l))))
6.0ms
(* M (/ D (* 2.0 d)))
218.0ms
(* (pow (* M (/ D (* 2.0 d))) 2.0) (/ h l))

simplify35.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
056001864

prune243.0ms

Filtered
82 candidates to 123 candidates (-50.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1176123
Fresh011
Picked101
Done000
Total1187125

Merged error: 7.2b

Counts
125 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

3.8b
(sqrt (- 1.0 (/ (* h (pow (* M (/ D (* 2.0 d))) 2.0)) l)))
4.5b
(* h (pow (* M (/ D (* 2.0 d))) 2.0))
5.1b
(/ (* h (pow (* M (/ D (* 2.0 d))) 2.0)) l)
6.3b
(* M (/ D (* 2.0 d)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log
24×prod-exp
20×add-sqr-sqrt add-cbrt-cube
14×*-un-lft-identity
13×div-exp
12×add-cube-cbrt associate-*r*
8×pow-exp
7×pow1
6×times-frac associate-*l* cbrt-unprod
5×sqrt-prod
4×cbrt-undiv add-log-exp
3×associate-/r* unswap-sqr
2×pow-to-exp sqrt-div *-commutative div-inv sqr-pow
1×unpow-prod-down rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num flip-- associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 95
Calls
4 calls:
6.0ms
(sqrt (- 1.0 (/ (* h (pow (* M (/ D (* 2.0 d))) 2.0)) l)))
6.0ms
(* h (pow (* M (/ D (* 2.0 d))) 2.0))
6.0ms
(/ (* h (pow (* M (/ D (* 2.0 d))) 2.0)) l)
7.0ms
(* M (/ D (* 2.0 d)))

series406.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(sqrt (- 1.0 (/ (* h (pow (* M (/ D (* 2.0 d))) 2.0)) l)))
98.0ms
(* h (pow (* M (/ D (* 2.0 d))) 2.0))
176.0ms
(/ (* h (pow (* M (/ D (* 2.0 d))) 2.0)) l)
6.0ms
(* M (/ D (* 2.0 d)))

simplify31.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
050841475

prune202.0ms

Filtered
73 candidates to 107 candidates (-46.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1061107
Fresh066
Picked101
Done000
Total1077114

Merged error: 6.8b

Counts
114 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

5.1b
(/ (* (* h (pow (* M (/ D (* 2.0 d))) (/ 2.0 2))) (pow (* M (/ D (* 2.0 d))) (/ 2.0 2))) l)
6.3b
(* M (/ D (* 2.0 d)))
6.3b
(* M (/ D (* 2.0 d)))
7.3b
(* h (pow (* M (/ D (* 2.0 d))) (/ 2.0 2)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
268×add-exp-log
148×prod-exp
75×div-exp
56×pow-exp
33×add-cbrt-cube
21×add-sqr-sqrt
19×associate-*r*
14×pow-to-exp add-cube-cbrt *-un-lft-identity
12×cbrt-unprod
9×times-frac associate-*l*
8×pow1
7×cbrt-undiv
4×add-log-exp unswap-sqr
3×associate-/r* *-commutative div-inv
2×associate-*r/ pow-prod-down sqr-pow
1×unpow-prod-down frac-2neg clear-num associate-/l*
Counts
4 → 142
Calls
4 calls:
12.0ms
(/ (* (* h (pow (* M (/ D (* 2.0 d))) (/ 2.0 2))) (pow (* M (/ D (* 2.0 d))) (/ 2.0 2))) l)
7.0ms
(* M (/ D (* 2.0 d)))
7.0ms
(* M (/ D (* 2.0 d)))
6.0ms
(* h (pow (* M (/ D (* 2.0 d))) (/ 2.0 2)))

series287.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(/ (* (* h (pow (* M (/ D (* 2.0 d))) (/ 2.0 2))) (pow (* M (/ D (* 2.0 d))) (/ 2.0 2))) l)
6.0ms
(* M (/ D (* 2.0 d)))
6.0ms
(* M (/ D (* 2.0 d)))
99.0ms
(* h (pow (* M (/ D (* 2.0 d))) (/ 2.0 2)))

simplify66.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049912161
149912161

prune239.0ms

Filtered
77 candidates to 154 candidates (-100.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1531154
Fresh156
Picked101
Done000
Total1556161

Merged error: 6.5b

Counts
161 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

6.3b
(* M (/ D (* 2.0 d)))
6.3b
(* M (/ D (* 2.0 d)))
6.7b
(/ (pow (* M (/ D (* 2.0 d))) (/ 2.0 2)) l)
7.3b
(* h (pow (* M (/ D (* 2.0 d))) (/ 2.0 2)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
29×add-sqr-sqrt
26×add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity prod-exp
21×times-frac
19×associate-*r*
14×div-exp
9×associate-*l* cbrt-unprod
8×pow1 pow-exp
6×sqr-pow
5×cbrt-undiv unpow-prod-down associate-/l*
4×add-log-exp unswap-sqr
3×associate-/r* *-commutative div-inv
2×pow-to-exp associate-*r/ pow-prod-down
1×frac-2neg clear-num
Counts
4 → 119
Calls
4 calls:
7.0ms
(* M (/ D (* 2.0 d)))
7.0ms
(* M (/ D (* 2.0 d)))
5.0ms
(/ (pow (* M (/ D (* 2.0 d))) (/ 2.0 2)) l)
6.0ms
(* h (pow (* M (/ D (* 2.0 d))) (/ 2.0 2)))

series292.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* M (/ D (* 2.0 d)))
6.0ms
(* M (/ D (* 2.0 d)))
181.0ms
(/ (pow (* M (/ D (* 2.0 d))) (/ 2.0 2)) l)
99.0ms
(* h (pow (* M (/ D (* 2.0 d))) (/ 2.0 2)))

simplify57.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
050091746

prune256.0ms

Filtered
90 candidates to 131 candidates (-45.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1310131
Fresh055
Picked011
Done000
Total1316137

Merged error: 6.5b

Counts
137 → 6

regimes2.0s

Accuracy

0% (1.5b remaining)

Error of 8.3b against oracle of 6.8b and baseline of 8.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06832
16832

end0.0ms

sample1.8s

Algorithm
intervals
Results
737.0ms9371×body80valid
251.0ms3104×body80nan

Profiling

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