Details

Time bar (total: 2.8s)

sample31.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
8.0ms245×body80nan

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
219410
341610
481610
5120710
6136810
7150510
8151110
9151110

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b
(* 3.0 (* v v))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
25×associate-*l*
22×times-frac
20×add-cube-cbrt *-un-lft-identity sqrt-prod
13×add-exp-log add-cbrt-cube
11×pow1
7×associate-*r* unswap-sqr
6×sqrt-div
5×prod-exp cbrt-unprod
4×pow-prod-down
3×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
2×frac-times associate-*r/ *-commutative
1×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ div-inv
Counts
3 → 92
Calls
3 calls:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
18.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
7.0ms
(* 3.0 (* v v))

series298.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
193.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
28.0ms
(* 3.0 (* v v))

simplify50.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0487834
11782796
25002792

prune248.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.2b
(* 3.0 (* v v))
1.0b
(* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
80×sqrt-prod
58×add-sqr-sqrt
53×associate-*l*
40×times-frac
36×add-cube-cbrt *-un-lft-identity
29×sqrt-div
22×pow1
16×add-exp-log add-cbrt-cube
13×pow-prod-down
11×frac-times associate-*r/
9×unswap-sqr
8×associate-*r*
7×flip3-- prod-exp flip-- cbrt-unprod
6×sqrt-pow1 pow1/2
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×sqrt-unprod *-commutative
2×div-inv
1×rem-sqrt-square
Counts
4 → 154
Calls
4 calls:
23.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
7.0ms
(* 3.0 (* v v))
46.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))

series624.0ms

Counts
4 → 12
Calls
4 calls:
263.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))
79.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
32.0ms
(* 3.0 (* v v))
249.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))

simplify81.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
07181784
128861685
250011672

prune481.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

sample728.0ms

Algorithm
intervals
Results
278.0ms8249×body80nan
269.0ms8000×body80valid