Details

Time bar (total: 10.7s)

sample45.0ms

Algorithm
intervals
Results
15.0ms300×body80valid
5.0ms95×body80nan

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0369
1819
21829
34569
415579
550019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize15.0ms

Local error

Found 4 expressions with local error:

2.7b
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
4.5b
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
6.3b
(/ (* M D) (* 2.0 d))
8.9b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

rewrite77.0ms

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×expm1-log1p-u sqrt-div log1p-expm1-u 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 → 121
Calls
4 calls:
18.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
7.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
13.0ms
(/ (* M D) (* 2.0 d))
35.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

series1.4s

Counts
4 → 12
Calls
4 calls:
405.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
353.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
30.0ms
(/ (* M D) (* 2.0 d))
639.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

simplify71.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06301135
127791057
250021054

prune438.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.8b

localize18.0ms

Local error

Found 4 expressions with local error:

4.5b
(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
5.2b
(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)
5.3b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
6.3b
(/ (* M D) (* 2.0 d))

rewrite74.0ms

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×expm1-log1p-u associate-/r* log1p-expm1-u 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 → 104
Calls
4 calls:
17.0ms
(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
18.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)
24.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
12.0ms
(/ (* M D) (* 2.0 d))

series1.7s

Counts
4 → 12
Calls
4 calls:
340.0ms
(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
654.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)
729.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
25.0ms
(/ (* M D) (* 2.0 d))

simplify67.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0576880
12585798
25001796

prune391.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.4b

localize22.0ms

Local error

Found 4 expressions with local error:

4.9b
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
5.2b
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) l)
6.3b
(/ (* M D) (* 2.0 d))
6.3b
(/ (* M D) (* 2.0 d))

rewrite105.0ms

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 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×frac-2neg associate-*r* clear-num associate-/l* unswap-sqr
2×sqr-pow
1×*-commutative
Counts
4 → 158
Calls
4 calls:
25.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
45.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) l)
13.0ms
(/ (* M D) (* 2.0 d))
13.0ms
(/ (* M D) (* 2.0 d))

series1.4s

Counts
4 → 12
Calls
4 calls:
688.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
653.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) l)
25.0ms
(/ (* M D) (* 2.0 d))
30.0ms
(/ (* M D) (* 2.0 d))

simplify90.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
08821759
131701336
250011332

prune432.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.9b

localize18.0ms

Local error

Found 4 expressions with local error:

4.9b
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
6.2b
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) l)
6.3b
(/ (* M D) (* 2.0 d))
6.3b
(/ (* M D) (* 2.0 d))

rewrite74.0ms

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-/r*
4×pow1 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×frac-2neg associate-*r* clear-num associate-/l* unswap-sqr
2×pow-to-exp sqr-pow
1×*-commutative
Counts
4 → 108
Calls
4 calls:
25.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
17.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) l)
16.0ms
(/ (* M D) (* 2.0 d))
13.0ms
(/ (* M D) (* 2.0 d))

series1.4s

Counts
4 → 12
Calls
4 calls:
689.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
645.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) l)
25.0ms
(/ (* M D) (* 2.0 d))
29.0ms
(/ (* M D) (* 2.0 d))

simplify67.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0512859
12386728
25001728

prune423.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.9b

regimes987.0ms

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
02516
12516

end0.0ms

sample1.2s

Algorithm
intervals
Results
464.0ms9317×body80valid
162.0ms3029×body80nan