Details

Time bar (total: 2.1s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
4.0ms256×pre80true

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0133
1253
2393
3703
41813
56823
624633
750013

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (* x x)) (* x x))
0.1b
(* x (* x x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
7×add-exp-log add-cbrt-cube
5×pow-prod-up
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative pow2 distribute-lft1-in flip3-+ pow-plus cube-unmult associate-*r* sum-log pow-sqr *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 37
Calls
2 calls:
7.0ms
(+ (* x (* x x)) (* x x))
6.0ms
(* x (* x x))

series97.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(+ (* x (* x x)) (* x x))
35.0ms
(* x (* x x))

simplify92.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0158147
1646107
22546106
35002102

prune61.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (fabs (pow x 3/2)) (fabs (pow x 3/2))) (* x x))
0.1b
(* (fabs (pow x 3/2)) (fabs (pow x 3/2)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×add-exp-log add-cbrt-cube add-log-exp
3×swap-sqr associate-*r* associate-*l*
1×+-commutative pow2 flip3-+ pow-plus pow-prod-down prod-exp sum-log pow-sqr *-commutative pow-prod-up cbrt-unprod flip-+ unswap-sqr
Counts
2 → 36
Calls
2 calls:
2.0ms
(+ (* (fabs (pow x 3/2)) (fabs (pow x 3/2))) (* x x))
3.0ms
(* (fabs (pow x 3/2)) (fabs (pow x 3/2)))

series69.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(+ (* (fabs (pow x 3/2)) (fabs (pow x 3/2))) (* x x))
16.0ms
(* (fabs (pow x 3/2)) (fabs (pow x 3/2)))

simplify93.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0149274
1684224
22906216
35002210

prune75.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- (pow x 3)) x)
0.1b
(pow (fabs (pow x 3/2)) 4)
0.1b
(pow (fabs (pow x 3/2)) 2)
47.0b
(/ (+ (* (- (pow x 3)) x) (pow (fabs (pow x 3/2)) 4)) (- (pow (fabs (pow x 3/2)) 2) (pow x 2)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt
64×difference-of-squares
63×times-frac
58×*-un-lft-identity
52×unpow-prod-down
42×add-cube-cbrt
36×sqr-pow
33×unpow2
28×associate-*l*
21×associate-/r*
12×distribute-lft-neg-in distribute-rgt-neg-in
10×add-exp-log
8×pow1 add-cbrt-cube distribute-lft-out--
6×pow-unpow cube-prod
4×add-log-exp
3×associate-*r* associate-/l*
2×cube-mult pow-to-exp pow-pow unpow3 pow-exp associate-/r/ associate-/l/
1×cbrt-undiv distribute-lft-neg-out neg-mul-1 flip3-- frac-2neg flip3-+ div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod flip-+ div-inv unswap-sqr
Counts
4 → 182
Calls
4 calls:
15.0ms
(* (- (pow x 3)) x)
1.0ms
(pow (fabs (pow x 3/2)) 4)
1.0ms
(pow (fabs (pow x 3/2)) 2)
38.0ms
(/ (+ (* (- (pow x 3)) x) (pow (fabs (pow x 3/2)) 4)) (- (pow (fabs (pow x 3/2)) 2) (pow x 2)))

series251.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (- (pow x 3)) x)
30.0ms
(pow (fabs (pow x 3/2)) 4)
15.0ms
(pow (fabs (pow x 3/2)) 2)
167.0ms
(/ (+ (* (- (pow x 3)) x) (pow (fabs (pow x 3/2)) 4)) (- (pow (fabs (pow x 3/2)) 2) (pow x 2)))

simplify103.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
06382675
127152450
250022262

prune432.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

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
087
187

end0.0ms

sample520.0ms

Algorithm
intervals
Results
297.0ms8000×body80valid
127.0ms8000×pre80true