Details

Time bar (total: 11.8s)

sample66.0ms

Algorithm
intervals
Results
30.0ms297×body80valid
10.0ms100×body80nan

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0369
1819
21789
34469
415309
550019

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize16.0ms

Local error

Found 4 expressions with local error:

1.9b
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
3.0b
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
5.8b
(/ (* M D) (* 2.0 d))
14.5b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
35×add-sqr-sqrt
27×prod-exp
23×add-cbrt-cube
19×div-exp associate-*r*
17×add-cube-cbrt *-un-lft-identity
14×times-frac
12×associate-*l*
10×pow-exp
8×unswap-sqr
7×pow1 unpow-prod-down sqrt-prod cbrt-unprod
5×cbrt-undiv
4×sqrt-div add-log-exp
3×associate-*r/ div-inv sqr-pow
2×pow-to-exp flip3-- *-commutative flip--
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 pow-prod-down clear-num associate-/r* associate-/l*
Counts
4 → 113
Calls
4 calls:
9.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
2.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
4.0ms
(/ (* M D) (* 2.0 d))
15.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

series542.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
153.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
7.0ms
(/ (* M D) (* 2.0 d))
189.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

simplify73.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06091075
12742997
25003994

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.8b

localize14.0ms

Local error

Found 4 expressions with local error:

3.0b
(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
5.4b
(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)
5.8b
(/ (* M D) (* 2.0 d))
7.0b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
26×prod-exp
23×add-cbrt-cube
20×div-exp
18×add-sqr-sqrt
12×*-un-lft-identity
10×add-cube-cbrt pow-exp
9×associate-*l*
6×cbrt-undiv unpow-prod-down cbrt-unprod
5×pow1 times-frac sqrt-prod
4×associate-/r* add-log-exp
3×associate-*r* div-inv unswap-sqr
2×pow-to-exp frac-2neg sqrt-div clear-num associate-/l* sqr-pow
1×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
7.0ms
(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
6.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)
4.0ms
(/ (* M D) (* 2.0 d))
10.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)

series538.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
187.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)
6.0ms
(/ (* M D) (* 2.0 d))
178.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)

simplify64.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0560828
12559746
25001744

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.3b

localize16.0ms

Local error

Found 4 expressions with local error:

5.2b
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
5.4b
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) l)
5.8b
(/ (* M D) (* 2.0 d))
5.8b
(/ (* M D) (* 2.0 d))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
373×add-exp-log
184×prod-exp
129×div-exp
80×pow-exp
39×add-cbrt-cube
16×pow-to-exp
14×add-sqr-sqrt
12×cbrt-unprod
11×cbrt-undiv
9×add-cube-cbrt *-un-lft-identity associate-*l*
6×unpow-prod-down times-frac
5×associate-/r*
4×pow1 div-inv add-log-exp
3×frac-2neg associate-*r* clear-num associate-/l* unswap-sqr
2×sqr-pow
1×*-commutative
Counts
4 → 150
Calls
4 calls:
10.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
16.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) l)
4.0ms
(/ (* M D) (* 2.0 d))
4.0ms
(/ (* M D) (* 2.0 d))

series382.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
185.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) l)
6.0ms
(/ (* M D) (* 2.0 d))
10.0ms
(/ (* M D) (* 2.0 d))

simplify79.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
08361701
131181278
250011274

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.8b

localize19.0ms

Local error

Found 4 expressions with local error:

5.2b
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
5.2b
(/ l (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h))
5.8b
(/ (* M D) (* 2.0 d))
5.8b
(/ (* M D) (* 2.0 d))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
79×add-exp-log
35×add-cbrt-cube
30×prod-exp
24×div-exp
14×add-sqr-sqrt
10×cbrt-undiv pow-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity associate-*l*
6×unpow-prod-down times-frac
5×associate-/l*
4×pow1 div-inv add-log-exp
3×frac-2neg associate-*r* clear-num associate-/r* unswap-sqr
2×pow-to-exp sqr-pow
1×*-commutative
Counts
4 → 100
Calls
4 calls:
10.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
5.0ms
(/ l (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h))
4.0ms
(/ (* M D) (* 2.0 d))
5.0ms
(/ (* M D) (* 2.0 d))

series357.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
166.0ms
(/ l (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h))
6.0ms
(/ (* M D) (* 2.0 d))
6.0ms
(/ (* M D) (* 2.0 d))

simplify60.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0499825
12260694
25002694

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.8b

regimes3.0s

Accuracy

0% (1.5b remaining)

Error of 8.6b against oracle of 7.1b and baseline of 8.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03017
13017

end0.0ms

sample1.8s

Algorithm
intervals
Results
967.0ms9322×body80valid
327.0ms3047×body80nan