Details

Time bar (total: 4.8s)

sample34.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms222×body80nan

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02710
17210
219410
341610
481610
5120710
6136810
7150510
8151110
9151110

prune3.0ms

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

localize10.0ms

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))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
26×associate-*l*
24×add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
22×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
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×cbrt-undiv sub-neg div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 142
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
12.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
11.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))

series577.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
289.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
188.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
24.0ms
(* 3.0 (* v v))

simplify104.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
08711794
139911686
250011684

prune338.0ms

Filtered
154 candidates to 111 candidates (72.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1522154
Fresh000
Picked101
Done000
Total1532155

Merged error: 0b

Counts
155 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (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)))) (- 1.0 (* v v))))
0.1b
(* 3.0 (* v v))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
31×associate-*l*
28×add-cube-cbrt *-un-lft-identity
25×distribute-rgt-in distribute-lft-in
23×add-exp-log add-cbrt-cube
20×frac-times sqrt-div
19×flip3-- flip--
18×times-frac prod-diff
17×pow1
16×sqrt-prod
14×associate-*r/
10×prod-exp cbrt-unprod
7×pow-prod-down associate-*l/
6×sub-neg associate-*r*
4×expm1-log1p-u log1p-expm1-u 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 → 161
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
8.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
14.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
6.0ms
(* 3.0 (* v v))

series559.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
167.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
291.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
24.0ms
(* 3.0 (* v v))

simplify108.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09872208
141392069
250012067

prune352.0ms

Filtered
173 candidates to 118 candidates (68.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1730173
Fresh011
Picked011
Done000
Total1732175

Merged error: 0b

Counts
175 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
100×frac-times
67×add-sqr-sqrt
52×sqrt-div
50×*-un-lft-identity associate-*l/
46×add-cube-cbrt
44×flip3-- flip--
37×add-exp-log add-cbrt-cube
36×associate-*r/ prod-diff sqrt-prod
27×associate-*l*
25×pow1
24×flip3-+ flip-+
22×times-frac
21×distribute-rgt-in distribute-lft-in
19×prod-exp cbrt-unprod
17×associate-*r*
13×pow-prod-down
7×unswap-sqr
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp
2×sub-neg difference-of-squares
1×div-inv distribute-lft-out distribute-lft-out--
Counts
4 → 238
Calls
4 calls:
14.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
25.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
11.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))

series761.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
380.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
195.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
24.0ms
(* 3.0 (* v v))

simplify80.0ms

Algorithm
egg-herbie
Counts
250 → 250
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
016294659
150014322

prune668.0ms

Filtered
250 candidates to 172 candidates (68.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2500250
Fresh000
Picked011
Done011
Total2502252

Merged error: 0b

Counts
252 → 2

regimes27.0ms

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

sample974.0ms

Algorithm
intervals
Results
391.0ms8000×body80valid
389.0ms8052×body80nan