Details

Time bar (total: 5.1s)

sample24.0ms

Algorithm
intervals
Results
10.0ms332×body80valid
1.0ms5×body1280valid
0.0ms3×body640valid
0.0ms2×body320valid
0.0ms1×body160valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1867
22837
37427
411977
512737
612737

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b
(* x (+ (+ (+ (+ y z) z) y) t))
0.0b
(+ (+ (+ y z) z) y)
0.0b
(+ (+ y z) z)

rewrite927.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
20×add-log-exp
19×distribute-lft-out
10×sum-log
8×add-sqr-sqrt
7×associate-*r*
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×associate-+l+ flip3-+ flip-+
3×+-commutative associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 71
Calls
4 calls:
221.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
616.0ms
(* x (+ (+ (+ (+ y z) z) y) t))
65.0ms
(+ (+ (+ y z) z) y)
22.0ms
(+ (+ y z) z)

series160.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
44.0ms
(* x (+ (+ (+ (+ y z) z) y) t))
32.0ms
(+ (+ (+ y z) z) y)
25.0ms
(+ (+ y z) z)

simplify49.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0374480
11624434
25001419

prune188.0ms

Filtered
83 candidates to 58 candidates (69.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
2.0b
(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
2.0b
(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
2.0b
(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

rewrite431.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
18.0ms
(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
136.0ms
(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
136.0ms
(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
138.0ms
(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

series640.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
150.0ms
(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
155.0ms
(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
152.0ms
(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

simplify41.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
02711036
11002942
25001873

prune284.0ms

Filtered
84 candidates to 67 candidates (79.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.4b
(+ (* y (- y (+ (+ y z) z))) (* (+ (+ y z) z) (+ (+ y z) z)))
1.5b
(+ (pow (+ (+ y z) z) 3) (pow y 3))
3.5b
(- y (+ (+ y z) z))
38.6b
(/ (+ (pow (+ (+ y z) z) 3) (pow y 3)) (+ (* y (- y (+ (+ y z) z))) (* (+ (+ y z) z) (+ (+ y z) z))))

rewrite559.0ms

Algorithm
rewrite-expression-head
Rules
225×*-un-lft-identity
128×distribute-lft-out
60×unpow-prod-down cube-prod
51×times-frac
40×associate-*r/
32×frac-add
28×add-sqr-sqrt flip3-+ flip-+
26×add-cube-cbrt
18×associate-/r/
17×flip3-- flip-- associate-/l* add-log-exp
16×frac-times
8×associate-*l/
6×add-exp-log add-cbrt-cube
5×sum-log sum-cubes
4×pow1 associate-+l+
3×distribute-rgt-in sub-neg distribute-lft-in diff-log associate-/r* distribute-lft-out--
2×+-commutative associate-+r+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv associate--r+ difference-of-squares
Counts
4 → 180
Calls
4 calls:
45.0ms
(+ (* y (- y (+ (+ y z) z))) (* (+ (+ y z) z) (+ (+ y z) z)))
124.0ms
(+ (pow (+ (+ y z) z) 3) (pow y 3))
25.0ms
(- y (+ (+ y z) z))
353.0ms
(/ (+ (pow (+ (+ y z) z) 3) (pow y 3)) (+ (* y (- y (+ (+ y z) z))) (* (+ (+ y z) z) (+ (+ y z) z))))

series262.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (* y (- y (+ (+ y z) z))) (* (+ (+ y z) z) (+ (+ y z) z)))
62.0ms
(+ (pow (+ (+ y z) z) 3) (pow y 3))
24.0ms
(- y (+ (+ y z) z))
143.0ms
(/ (+ (pow (+ (+ y z) z) 3) (pow y 3)) (+ (* y (- y (+ (+ y z) z))) (* (+ (+ y z) z) (+ (+ y z) z))))

simplify122.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
07244218
139854061
250014051

prune524.0ms

Filtered
192 candidates to 96 candidates (50.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes107.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0197
1197

end0.0ms

sample649.0ms

Algorithm
intervals
Results
352.0ms10640×body80valid
14.0ms92×body1280valid
11.0ms90×body640valid
4.0ms49×body320valid
3.0ms42×body160valid