Details

Time bar (total: 4.3s)

sample289.0ms

Algorithm
intervals
Results
28.0ms523×body80valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (21.0ms)

IterNodesCost
05114
115514
267514
3324213
4500113

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.8b

localize29.0ms

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)
0.4b
(/ 2.0 (* r r))
4.9b
(* (* (* w w) r) r)
8.0b
(* (* w w) r)

rewrite40.0ms

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))
23.0ms
(* (* (* w w) r) r)
10.0ms
(* (* w w) r)

series186.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
24.0ms
(/ 2.0 (* r r))
38.0ms
(* (* (* w w) r) r)
25.0ms
(* (* w w) r)

simplify42.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0320459
11457382
25001374

prune266.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
12×add-cube-cbrt
11×pow1
8×times-frac
6×associate-/r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u associate-/l* add-log-exp
3×swap-sqr associate-*r* associate-*l* prod-exp cbrt-unprod
2×flip3-- frac-2neg associate-*r/ clear-num associate-/r/ flip-- div-inv associate-/l/ distribute-lft-out-- difference-of-squares
1×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up fma-udef unswap-sqr
Counts
4 → 91
Calls
4 calls:
13.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
0.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
3.0ms
(/ 2.0 (* r r))
3.0ms
(* (fabs (* w r)) (fabs (* w r)))

series153.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
76.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
23.0ms
(/ 2.0 (* r r))
8.0ms
(* (fabs (* w r)) (fabs (* w r)))

simplify54.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0484688
12000586
25001573

prune358.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
58×add-sqr-sqrt
56×*-un-lft-identity
52×add-cube-cbrt
16×add-exp-log add-cbrt-cube
14×associate-/l*
11×pow1
8×associate-/r*
6×div-inv
5×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×swap-sqr associate-*r* associate-*l* associate-/l/
2×flip3-- frac-2neg associate-*r/ prod-exp clear-num associate-/r/ flip-- cbrt-unprod distribute-lft-out-- difference-of-squares
1×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up fma-udef unswap-sqr
Counts
4 → 140
Calls
4 calls:
13.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
0.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
6.0ms
(/ (/ 2.0 r) r)
3.0ms
(* (fabs (* w r)) (fabs (* w r)))

series155.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
77.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
24.0ms
(/ (/ 2.0 r) r)
8.0ms
(* (fabs (* w r)) (fabs (* w r)))

simplify72.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06921051
12867930
25002913

prune522.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 2.0 (* r r))
0.6b
(pow (sqrt (fabs (* w r))) 3)
4.4b
(sqrt (fabs (* w r)))
4.4b
(sqrt (fabs (* w r)))

rewrite9.0ms

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:
3.0ms
(/ 2.0 (* r r))
2.0ms
(pow (sqrt (fabs (* w r))) 3)
1.0ms
(sqrt (fabs (* w r)))
1.0ms
(sqrt (fabs (* w r)))

series63.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ 2.0 (* r r))
24.0ms
(pow (sqrt (fabs (* w r))) 3)
7.0ms
(sqrt (fabs (* w r)))
9.0ms
(sqrt (fabs (* w r)))

simplify33.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0216423
1801378
25001370

prune304.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.3b

regimes270.0ms

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
02817
12817

end0.0ms

sample1.2s

Algorithm
intervals
Results
893.0ms17244×body80valid