Details

Time bar (total: 37.2s)

sample28.0ms

Algorithm
intervals
Results
8.0ms258×body80nan
8.0ms256×body80valid

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
26×associate-*l*
25×add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
22×times-frac
18×frac-times
17×sqrt-prod
16×pow1 sqrt-div
15×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×prod-diff associate-*l/
7×pow-prod-down unswap-sqr
6×add-log-exp
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u log1p-expm1-u
3×sub-neg fma-neg *-commutative
2×cbrt-undiv div-exp
1×diff-log div-inv difference-of-squares
Counts
4 → 145
Calls
4 calls:
3.0ms
(- 1.0 (* 3.0 (* v v)))
17.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
36.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
6.0ms
(* 3.0 (* v v))

series603.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- 1.0 (* 3.0 (* v v)))
208.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
315.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
25.0ms
(* 3.0 (* v v))

simplify96.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
08431772
138881651
250021648

prune413.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

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

rewrite201.0ms

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:
36.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
19.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
125.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
7.0ms
(* 3.0 (* v v))

series802.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
211.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
391.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
31.0ms
(* 3.0 (* v v))

simplify75.0ms

Algorithm
egg-herbie
Counts
250 → 250
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
016294659
150014322

prune808.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

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

rewrite2.0s

Algorithm
rewrite-expression-head
Rules
11747×frac-times
9648×sqrt-div
4522×associate-*l/
3924×flip3-- flip--
2887×associate-*r/
1962×flip3-+ flip-+
290×pow1
186×pow-prod-down
104×sqrt-pow1
43×add-sqr-sqrt
37×*-un-lft-identity
36×prod-diff
35×add-cube-cbrt
30×add-exp-log add-cbrt-cube
26×pow-prod-up
23×sqrt-prod
20×distribute-rgt-in distribute-lft-in
18×pow-sqr
16×prod-exp cbrt-unprod
14×pow1/2
12×associate-*r*
11×associate-*l*
4×expm1-log1p-u swap-sqr *-commutative log1p-expm1-u add-log-exp
3×unswap-sqr
2×sub-neg difference-of-squares
1×cbrt-undiv pow2 pow-plus sqrt-unprod div-exp rem-square-sqrt distribute-lft-out--
Counts
4 → 3169
Calls
4 calls:
125.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
6.0ms
(* 3.0 (* v v))
6.0ms
(* 3.0 (* v v))
1.0s
(* (sqrt (* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))) (sqrt (* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))))

series912.0ms

Counts
4 → 12
Calls
4 calls:
393.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
24.0ms
(* 3.0 (* v v))
24.0ms
(* 3.0 (* v v))
471.0ms
(* (sqrt (* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))) (sqrt (* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))))

simplify1.7s

Algorithm
egg-herbie
Counts
3181 → 3181
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
06286204024

prune28.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

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
02213
12213

end0.0ms

sample677.0ms

Algorithm
intervals
Results
253.0ms8000×body80valid
250.0ms8033×body80nan