Details

Time bar (total: 5.2s)

sample305.0ms

Algorithm
intervals
Results
39.0ms543×body80valid

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (21.0ms)

IterNodesCost
05114
115514
267514
3324213
4500113

prune25.0ms

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: 8.2b

Counts
2 → 2

localize21.0ms

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)
0.6b
(/ 2.0 (* r r))
8.1b
(* (* (* w w) r) r)
10.7b
(* (* 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)

series188.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
23.0ms
(/ 2.0 (* r r))
37.0ms
(* (* (* w w) r) r)
26.0ms
(* (* w w) r)

simplify44.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0320459
11457382
25001374

prune250.0ms

Filtered
89 candidates to 58 candidates (65.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New781189
Fresh011
Picked101
Done000
Total791291

Merged error: 0.3b

Counts
91 → 12

localize18.0ms

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)
0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.6b
(/ 2.0 (* r r))

rewrite17.0ms

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:
6.0ms
(- (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
(* (fabs (* w r)) (fabs (* w r)))
4.0ms
(/ 2.0 (* r r))

series188.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
77.0ms
(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)))
23.0ms
(/ 2.0 (* r r))

simplify48.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03781079
11315875
25001837

prune316.0ms

Filtered
101 candidates to 69 candidates (68.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New956101
Fresh5611
Picked101
Done000
Total10112113

Merged error: 0.3b

Counts
113 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
0.3b
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.6b
(/ 2.0 (* r r))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×add-sqr-sqrt
20×*-un-lft-identity
16×pow1
14×add-cube-cbrt associate-*l* prod-exp cbrt-unprod
13×times-frac
8×cbrt-undiv div-exp
6×associate-/r*
4×expm1-log1p-u associate-*r* pow-prod-down associate-/r/ log1p-expm1-u associate-/l* add-log-exp
3×flip3-- swap-sqr flip-- div-inv distribute-lft-out-- difference-of-squares
2×frac-2neg associate-*r/ clear-num *-commutative associate-/l/ unswap-sqr
1×pow2 pow-plus associate-*l/ pow-sqr pow-prod-up
Counts
4 → 119
Calls
4 calls:
11.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
12.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
3.0ms
(* (fabs (* w r)) (fabs (* w r)))
4.0ms
(/ 2.0 (* r r))

series135.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
58.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
8.0ms
(* (fabs (* w r)) (fabs (* w r)))
24.0ms
(/ 2.0 (* r r))

simplify71.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06041050
12763834
25001822

prune368.0ms

Filtered
131 candidates to 87 candidates (66.4%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1274131
Fresh3811
Picked101
Done000
Total13112143

Merged error: 0.0b

Counts
143 → 12

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (fabs (* w r)))
0.2b
(* (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (fabs (* w r)))
0.4b
(* (* (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (fabs (* w r))) (* (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (fabs (* w r))))
0.6b
(/ 2.0 (* r r))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
29×associate-*l*
26×add-sqr-sqrt
25×add-exp-log add-cbrt-cube
24×sqrt-prod
19×pow-prod-down
18×*-un-lft-identity
14×add-cube-cbrt
13×times-frac
11×prod-exp cbrt-unprod
7×associate-*r* associate-*l/
6×sqrt-div
4×expm1-log1p-u associate-/r/ pow-sqr pow-prod-up log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative div-inv associate-/l*
2×cbrt-undiv flip3-- pow-plus div-exp flip-- distribute-lft-out-- difference-of-squares
1×pow2 frac-times frac-2neg associate-*r/ swap-sqr clear-num associate-/r*
Counts
4 → 128
Calls
4 calls:
11.0ms
(* (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (fabs (* w r)))
10.0ms
(* (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (fabs (* w r)))
19.0ms
(* (* (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (fabs (* w r))) (* (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (fabs (* w r))))
4.0ms
(/ 2.0 (* r r))

series718.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(* (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (fabs (* w r)))
248.0ms
(* (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (fabs (* w r)))
188.0ms
(* (* (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (fabs (* w r))) (* (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (fabs (* w r))))
28.0ms
(/ 2.0 (* r r))

simplify68.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05191585
120181354
250011306

prune398.0ms

Filtered
140 candidates to 90 candidates (64.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1382140
Fresh4711
Picked011
Done000
Total14210152

Merged error: 0.0b

Counts
152 → 10

regimes234.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02824
12824

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s17017×body80valid