Details

Time bar (total: 3.2s)

sample40.0ms

Algorithm
intervals
Results
15.0ms312×body80nan
12.0ms256×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize13.0ms

Local error

Found 4 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))))) (- 1.0 (* v v)))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b
(* 3.0 (* v v))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
26×associate-*l*
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity times-frac
20×sqrt-prod
18×frac-times sqrt-div
17×pow1
15×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
4×add-log-exp
3×*-commutative
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 128
Calls
4 calls:
2.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
13.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
12.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))

series604.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
305.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
193.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
24.0ms
(* 3.0 (* v v))

simplify95.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08091605
136211516
250011513

prune304.0ms

Filtered
140 candidates to 99 candidates (70.7%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1391140
Fresh000
Picked101
Done000
Total1401141

Merged error: 0b

Counts
141 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
0.1b
(* 3.0 (* v v))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
31×associate-*l*
29×add-sqr-sqrt
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity
20×frac-times sqrt-div
19×flip3-- flip--
18×times-frac
17×pow1
16×sqrt-prod
14×associate-*r/
10×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
7×pow-prod-down associate-*l/
6×sub-neg associate-*r*
4×add-log-exp
3×*-commutative unswap-sqr
2×cbrt-undiv div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 135
Calls
4 calls:
8.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
15.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
6.0ms
(* 3.0 (* v v))

series596.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
81.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
307.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
29.0ms
(* 3.0 (* v v))

simplify103.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
08661771
136861675
250021674

prune305.0ms

Filtered
147 candidates to 103 candidates (70.1%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1470147
Fresh000
Picked011
Done000
Total1471148

Merged error: 0b

Counts
148 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

sample992.0ms

Algorithm
intervals
Results
399.0ms8000×body80valid
392.0ms8165×body80nan