Details

Time bar (total: 2.2s)

sample38.0ms

Algorithm
intervals
Results
26.0ms405×body80valid

simplify189.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0134
1354
2814
31274
41334
51494
62054
73964
813284
946624
1050014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in add-cube-cbrt sub-neg *-un-lft-identity distribute-lft-in associate-*r/
flip3-- associate-*l* *-commutative flip-- add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
12.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify141.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0171170
1807140
24462140
35001140

prune43.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
0.2b
(* (* x x) 3.0)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
sum-log
+-commutative neg-sub0 associate-+r- flip3-+ associate-*l* unsub-neg neg-log *-commutative flip-+ unswap-sqr
Counts
2 → 34
Calls
2 calls:
9.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
8.0ms
(* (* x x) 3.0)

series123.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
27.0ms
(* (* x x) 3.0)

simplify38.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0193210
1975184
25002177

prune75.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- 3.0 (* x 2.0)))
0.2b
(* x (* x (- 3.0 (* x 2.0))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt
sub-neg associate-*r/ associate-*l*
add-cube-cbrt *-un-lft-identity
associate-*r* pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip-- add-log-exp
unswap-sqr
Counts
2 → 52
Calls
2 calls:
8.0ms
(* x (- 3.0 (* x 2.0)))
15.0ms
(* x (* x (- 3.0 (* x 2.0))))

series150.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* x (- 3.0 (* x 2.0)))
76.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify42.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0192313
1954262
25002262

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x x) 3.0)
0.3b
(* (sqrt (* (* x x) 3.0)) (sqrt (* (* x x) 3.0)))
22.3b
(sqrt (* (* x x) 3.0))
22.3b
(sqrt (* (* x x) 3.0))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
12×add-sqr-sqrt
11×add-exp-log pow-sqr add-cbrt-cube
add-cube-cbrt *-un-lft-identity
associate-*r*
sqrt-prod
associate-*l*
swap-sqr prod-exp cbrt-unprod add-log-exp
*-commutative unswap-sqr
pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 109
Calls
4 calls:
8.0ms
(* (* x x) 3.0)
50.0ms
(* (sqrt (* (* x x) 3.0)) (sqrt (* (* x x) 3.0)))
6.0ms
(sqrt (* (* x x) 3.0))
6.0ms
(sqrt (* (* x x) 3.0))

series170.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* x x) 3.0)
72.0ms
(* (sqrt (* (* x x) 3.0)) (sqrt (* (* x x) 3.0)))
33.0ms
(sqrt (* (* x x) 3.0))
40.0ms
(sqrt (* (* x x) 3.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0178363
1921297
25001286

prune194.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.2b 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
0104
1104

end0.0ms

sample592.0ms

Algorithm
intervals
Results
460.0ms11938×body80valid