Details

Time bar (total: 4.5s)

sample308.0ms

Algorithm
intervals
Results
29.0ms538×body80valid

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (23.0ms)

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)

Merged error: 11.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
0.6b
(/ 2.0 (* r r))
5.8b
(* (* (* w w) r) r)
13.3b
(* (* w w) r)

rewrite42.0ms

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:
0.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
3.0ms
(/ 2.0 (* r r))
24.0ms
(* (* (* w w) r) r)
10.0ms
(* (* w w) r)

series192.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
23.0ms
(/ 2.0 (* r r))
41.0ms
(* (* (* w w) r) r)
26.0ms
(* (* w w) r)

simplify43.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0320459
11457382
25001374

prune262.0ms

Filtered
89 candidates to 58 candidates (65.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

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)
0.1b
(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))

rewrite12.0ms

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:
3.0ms
(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
0.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
3.0ms
(* (fabs (* w r)) (fabs (* w r)))
3.0ms
(/ 2.0 (* r r))

series192.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(- (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)))
27.0ms
(/ 2.0 (* r r))

simplify46.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03781079
11315875
25001837

prune334.0ms

Filtered
101 candidates to 69 candidates (68.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
0.1b
(* (/ (* 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))

rewrite47.0ms

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))
26.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
3.0ms
(* (fabs (* w r)) (fabs (* w r)))
3.0ms
(/ 2.0 (* r r))

series137.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
59.0ms
(* (/ (* 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 (58.0ms)

IterNodesCost
06041050
12763834
25001822

prune399.0ms

Filtered
131 candidates to 87 candidates (66.4%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
0.1b
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
0.2b
(/ (/ 2.0 r) r)
0.4b
(* (fabs (* w r)) (fabs (* w r)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
85×times-frac
63×add-sqr-sqrt
60×*-un-lft-identity
54×add-cube-cbrt
37×add-exp-log add-cbrt-cube
16×pow1
14×associate-*l* associate-/l*
13×prod-exp cbrt-unprod
9×cbrt-undiv div-exp
8×associate-/r*
7×div-inv
4×expm1-log1p-u associate-*r* pow-prod-down associate-/r/ log1p-expm1-u add-log-exp
3×flip3-- swap-sqr flip-- associate-/l/ distribute-lft-out-- difference-of-squares
2×frac-2neg associate-*r/ clear-num *-commutative unswap-sqr
1×pow2 pow-plus associate-*l/ pow-sqr pow-prod-up
Counts
4 → 168
Calls
4 calls:
11.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
26.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
6.0ms
(/ (/ 2.0 r) r)
3.0ms
(* (fabs (* w r)) (fabs (* w r)))

series141.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
60.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
24.0ms
(/ (/ 2.0 r) r)
8.0ms
(* (fabs (* w r)) (fabs (* w r)))

simplify87.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
08121413
136311178
250011163

prune511.0ms

Filtered
180 candidates to 121 candidates (67.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes161.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02816
12816

end0.0ms

sample1.2s

Algorithm
intervals
Results
882.0ms16946×body80valid