Details

Time bar (total: 11.0s)

sample60.0ms

Algorithm
intervals
Results
30.0ms300×body80valid
9.0ms88×body80nan

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0369
1819
21789
34469
415309
550019

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

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)))))
4.6b
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
5.4b
(/ (* M D) (* 2.0 d))
10.5b
(* (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:
8.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
3.0ms
(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))

series1.5s

Counts
4 → 12
Calls
4 calls:
407.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
361.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
31.0ms
(/ (* M D) (* 2.0 d))
668.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

simplify73.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06091075
12742997
25003994

prune396.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.1b

localize14.0ms

Local error

Found 4 expressions with local error:

4.6b
(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
4.7b
(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)
5.3b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
5.4b
(/ (* M D) (* 2.0 d))

rewrite32.0ms

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)
10.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
7.0ms
(/ (* M D) (* 2.0 d))

series1.8s

Counts
4 → 12
Calls
4 calls:
364.0ms
(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
696.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)
715.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
28.0ms
(/ (* M D) (* 2.0 d))

simplify71.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0560829
12559746
25001744

prune350.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.5b

localize16.0ms

Local error

Found 4 expressions with local error:

4.7b
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) l)
5.4b
(/ (* M D) (* 2.0 d))
5.4b
(/ (* M D) (* 2.0 d))
5.5b
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)

rewrite47.0ms

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:
19.0ms
(/ (* (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))
10.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)

series1.5s

Counts
4 → 12
Calls
4 calls:
701.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) l)
27.0ms
(/ (* M D) (* 2.0 d))
28.0ms
(/ (* M D) (* 2.0 d))
724.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)

simplify82.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
08361701
131181278
250011274

prune393.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.0b

localize21.0ms

Local error

Found 4 expressions with local error:

4.7b
(/ (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (cbrt l) (cbrt l)))
5.4b
(/ (* M D) (* 2.0 d))
5.4b
(/ (* M D) (* 2.0 d))
5.5b
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
98×add-exp-log
34×div-exp prod-exp
33×add-cbrt-cube
16×add-sqr-sqrt unpow-prod-down
15×pow-exp
14×times-frac
11×add-cube-cbrt *-un-lft-identity associate-/l*
10×cbrt-undiv cbrt-unprod
9×associate-*l*
6×div-inv
4×pow1 add-log-exp sqr-pow
3×pow-to-exp frac-2neg associate-*r* clear-num associate-/r* unswap-sqr
1×*-commutative
Counts
4 → 118
Calls
4 calls:
9.0ms
(/ (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (cbrt l) (cbrt l)))
4.0ms
(/ (* M D) (* 2.0 d))
8.0ms
(/ (* M D) (* 2.0 d))
10.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)

series1.2s

Counts
4 → 12
Calls
4 calls:
474.0ms
(/ (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (cbrt l) (cbrt l)))
27.0ms
(/ (* M D) (* 2.0 d))
27.0ms
(/ (* M D) (* 2.0 d))
720.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)

simplify67.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05411098
12333967
25001961

prune468.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.0b

regimes1.1s

Accuracy

0% (1.3b remaining)

Error of 8.6b against oracle of 7.3b and baseline of 8.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03236
13236

end0.0ms

sample1.8s

Algorithm
intervals
Results
952.0ms9299×body80valid
336.0ms3210×body80nan