Details

Time bar (total: 2.4s)

sample10.0ms

Algorithm
intervals
Results
5.0ms324×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
072
1102
2102

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
5.0ms
(* (* x 3.0) x)

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* (* x 3.0) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
09678
143563
2229863
3500162

prune32.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 3.0) x)
0.3b
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
20.8b
(sqrt (* (* x 3.0) x))
20.8b
(sqrt (* (* x 3.0) x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×sqrt-prod
5×associate-*l*
4×expm1-log1p-u swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 116
Calls
4 calls:
5.0ms
(* (* x 3.0) x)
11.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
4.0ms
(sqrt (* (* x 3.0) x))
4.0ms
(sqrt (* (* x 3.0) x))

series162.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* x 3.0) x)
68.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
33.0ms
(sqrt (* (* x 3.0) x))
37.0ms
(sqrt (* (* x 3.0) x))

simplify44.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0183396
1948335
25001324

prune151.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(* (cbrt x) (cbrt x))
20.8b
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
20.8b
(sqrt (* (* x 3.0) x))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
36×pow1
21×add-sqr-sqrt
19×cbrt-prod
18×pow-prod-down
13×add-cube-cbrt *-un-lft-identity
9×sqrt-pow1
7×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow1/2 sqrt-prod pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt x)
6.0ms
(* (cbrt x) (cbrt x))
10.0ms
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
4.0ms
(sqrt (* (* x 3.0) x))

series470.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt x)
198.0ms
(* (cbrt x) (cbrt x))
65.0ms
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
35.0ms
(sqrt (* (* x 3.0) x))

simplify129.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 3 (124.0ms)

IterNodesCost
0166388
1638358
24188291
35002288

prune235.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
0.5b
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
20.8b
(sqrt (* (* x 3.0) x))
20.8b
(sqrt (* (* x 3.0) x))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×sqrt-prod
25×pow1
20×associate-*l*
18×unpow-prod-down cube-prod
16×add-cube-cbrt *-un-lft-identity
14×sqrt-pow1
12×unswap-sqr
10×add-exp-log
9×pow-prod-down
7×pow-pow associate-*r* add-cbrt-cube
4×expm1-log1p-u pow1/2 log1p-expm1-u add-log-exp sqr-pow
3×pow-unpow prod-exp
2×cube-mult pow-to-exp unpow3 pow-exp
1×pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 123
Calls
4 calls:
14.0ms
(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
6.0ms
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
7.0ms
(sqrt (* (* x 3.0) x))
4.0ms
(sqrt (* (* x 3.0) x))

series336.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
196.0ms
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
38.0ms
(sqrt (* (* x 3.0) x))
33.0ms
(sqrt (* (* x 3.0) x))

simplify62.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
03351012
11614796
25002698

prune234.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes67.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162

end0.0ms

sample261.0ms

Algorithm
intervals
Results
150.0ms10687×body80valid