Details

Time bar (total: 4.7s)

sample313.0ms

Algorithm
intervals
Results
38.0ms550×body80valid

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
05114
115514
267514
3324213
4500113

prune12.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.9b

Counts
2 → 2

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
0.3b
(/ 2.0 (* r r))
5.7b
(* (* (* w w) r) r)
6.3b
(* (* w w) r)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
10×prod-exp cbrt-unprod
9×add-sqr-sqrt pow-prod-down
8×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv div-exp associate-*l* *-commutative
1×frac-2neg clear-num associate-/r* fma-udef div-inv unswap-sqr
Counts
4 → 77
Calls
4 calls:
1.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
4.0ms
(/ 2.0 (* r r))
7.0ms
(* (* (* w w) r) r)
9.0ms
(* (* w w) r)

series197.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
25.0ms
(/ 2.0 (* r r))
40.0ms
(* (* (* w w) r) r)
27.0ms
(* (* w w) r)

simplify45.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0320459
11457382
25001374

prune262.0ms

Filtered
89 candidates to 58 candidates (65.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New771289
Fresh011
Picked101
Done000
Total781391

Merged error: 0.3b

Counts
91 → 13

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
0.3b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.3b
(/ 2.0 (* r r))
0.4b
(* (fabs (* w r)) (fabs (* w r)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×*-un-lft-identity
17×add-cube-cbrt
11×pow1 add-exp-log add-cbrt-cube
9×prod-diff
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×times-frac fma-neg swap-sqr associate-*r* associate-*l* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod fma-udef
1×pow2 sub-neg flip3-- frac-2neg pow-plus diff-log pow-prod-down associate--l+ clear-num associate-/r* pow-sqr *-commutative pow-prod-up flip-- div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 89
Calls
4 calls:
4.0ms
(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
1.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
4.0ms
(/ 2.0 (* r r))
4.0ms
(* (fabs (* w r)) (fabs (* w r)))

series194.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
79.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
25.0ms
(/ 2.0 (* r r))
8.0ms
(* (fabs (* w r)) (fabs (* w r)))

simplify47.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03781079
11315875
25001837

prune326.0ms

Filtered
101 candidates to 69 candidates (68.3%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New938101
Fresh4812
Picked101
Done000
Total9816114

Merged error: 0.3b

Counts
114 → 16

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
0.2b
(/ (/ 2.0 r) r)
0.3b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.4b
(* (fabs (* w r)) (fabs (* w r)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
61×add-sqr-sqrt
59×*-un-lft-identity
57×add-cube-cbrt
13×associate-/l*
11×pow1 add-exp-log add-cbrt-cube
9×prod-diff
6×add-log-exp
5×div-inv
4×expm1-log1p-u log1p-expm1-u
3×cbrt-undiv fma-neg swap-sqr div-exp associate-*r* associate-*l* associate-/r*
2×fma-udef
1×pow2 sub-neg flip3-- frac-2neg pow-plus diff-log pow-prod-down prod-exp associate--l+ clear-num pow-sqr *-commutative pow-prod-up flip-- cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 138
Calls
4 calls:
4.0ms
(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
6.0ms
(/ (/ 2.0 r) r)
1.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
4.0ms
(* (fabs (* w r)) (fabs (* w r)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
24.0ms
(/ (/ 2.0 r) r)
80.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
8.0ms
(* (fabs (* w r)) (fabs (* w r)))

simplify63.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05861442
121621219
250011199

prune459.0ms

Filtered
150 candidates to 102 candidates (68.0%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1482150
Fresh21315
Picked011
Done000
Total15016166

Merged error: 0.3b

Counts
166 → 16

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* r r))
0.6b
(pow (sqrt (fabs (* w r))) 3)
4.6b
(sqrt (fabs (* w r)))
4.6b
(sqrt (fabs (* w r)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×sqrt-prod
10×add-exp-log add-cbrt-cube
8×pow1
6×unpow-prod-down cube-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow pow-pow sqrt-pow1 times-frac pow1/2 associate-/l*
2×cbrt-undiv rem-sqrt-square div-exp
1×cube-mult pow-to-exp frac-2neg unpow3 pow-exp prod-exp clear-num associate-/r* sqrt-pow2 cbrt-unprod div-inv rem-cube-cbrt sqr-pow
Counts
4 → 87
Calls
4 calls:
7.0ms
(/ 2.0 (* r r))
3.0ms
(pow (sqrt (fabs (* w r))) 3)
1.0ms
(sqrt (fabs (* w r)))
2.0ms
(sqrt (fabs (* w r)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ 2.0 (* r r))
20.0ms
(pow (sqrt (fabs (* w r))) 3)
8.0ms
(sqrt (fabs (* w r)))
8.0ms
(sqrt (fabs (* w r)))

simplify33.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0216427
1811378
25002370

prune262.0ms

Filtered
99 candidates to 59 candidates (59.6%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New97299
Fresh11314
Picked101
Done011
Total9916115

Merged error: 0.3b

Counts
115 → 16

regimes478.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02415
12415

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s17062×body80valid