Details

Time bar (total: 3.6s)

sample32.0ms

Algorithm
intervals
Results
11.0ms245×body80nan
9.0ms256×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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

rewrite67.0ms

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:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
20.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
32.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
7.0ms
(* 3.0 (* v v))

series599.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
196.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
300.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
25.0ms
(* 3.0 (* v v))

simplify99.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
08091606
136211516
250011513

prune350.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 3.0 (* v v)) (* 3.0 (* v v)))
0.1b
(* 3.0 (* v v))
0.1b
(* 3.0 (* v v))
0.1b
(* 3.0 (* v v))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
133×pow1
75×pow-prod-down
55×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
10×add-sqr-sqrt associate-*l*
9×pow-sqr pow-prod-up
7×add-cube-cbrt *-un-lft-identity
4×associate-*r* *-commutative add-log-exp
3×pow-plus unswap-sqr
1×pow2 swap-sqr
Counts
4 → 117
Calls
4 calls:
36.0ms
(* (* 3.0 (* v v)) (* 3.0 (* v v)))
7.0ms
(* 3.0 (* v v))
6.0ms
(* 3.0 (* v v))
7.0ms
(* 3.0 (* v v))

series116.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (* 3.0 (* v v)) (* 3.0 (* v v)))
24.0ms
(* 3.0 (* v v))
23.0ms
(* 3.0 (* v v))
29.0ms
(* 3.0 (* v v))

simplify163.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0200526
1782349
24098319
35001319

prune280.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×cbrt-prod associate-*l* pow-prod-down prod-exp cbrt-unprod
4×cbrt-div add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip-- unswap-sqr
Counts
4 → 64
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* 3.0 (* v v))))
2.0ms
(cbrt (- 1.0 (* 3.0 (* v v))))
10.0ms
(* 3.0 (* v v))
7.0ms
(* 3.0 (* v v))

series525.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(cbrt (- 1.0 (* 3.0 (* v v))))
237.0ms
(cbrt (- 1.0 (* 3.0 (* v v))))
24.0ms
(* 3.0 (* v v))
24.0ms
(* 3.0 (* v v))

simplify129.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0291580
11022540
24229490
35001490

prune258.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

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
03728
13728

end0.0ms

sample774.0ms

Algorithm
intervals
Results
295.0ms8000×body80valid
291.0ms8010×body80nan