Details

Time bar (total: 2.9s)

sample21.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0268
1618
21418
33478
47928
550028

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.7b
(- (* (* z 2.0) z) (* y t))
21.0b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×cbrt-undiv times-frac div-exp prod-exp associate-/r* cbrt-unprod
2×pow1 flip3-- associate-/r/ flip--
1×sub-neg frac-2neg diff-log clear-num div-inv associate-/l*
Counts
2 → 37
Calls
2 calls:
7.0ms
(- (* (* z 2.0) z) (* y t))
19.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series223.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (* (* z 2.0) z) (* y t))
185.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify42.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0265383
11370314
25002313

prune106.0ms

Filtered
43 candidates to 30 candidates (69.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 2.0 (pow z 2))
0.7b
(- (* 2.0 (pow z 2)) (* t y))
4.2b
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
21.4b
(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
23×add-exp-log associate-*r*
22×add-cube-cbrt *-un-lft-identity
20×add-cbrt-cube
18×times-frac
9×pow1 prod-exp
7×cbrt-unprod
6×add-log-exp
4×unpow-prod-down associate-*l* associate-/r/ unswap-sqr
3×cbrt-undiv flip3-- div-exp pow-prod-down associate-/r* flip-- associate-/l*
2×*-commutative div-inv unpow2 sqr-pow
1×pow-to-exp sub-neg frac-2neg diff-log associate-*r/ pow-exp clear-num
Counts
4 → 103
Calls
4 calls:
6.0ms
(* 2.0 (pow z 2))
3.0ms
(- (* 2.0 (pow z 2)) (* t y))
20.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

series300.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 2.0 (pow z 2))
39.0ms
(- (* 2.0 (pow z 2)) (* t y))
190.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
48.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0413827
12147710
25002709

prune281.0ms

Filtered
115 candidates to 76 candidates (66.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 5.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.7b
(- (* (* z 2.0) z) (* y t))
4.3b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
21.4b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×add-exp-log add-cbrt-cube
16×associate-/r*
7×cbrt-undiv div-exp
5×add-log-exp
4×div-inv associate-/l*
3×pow1
2×flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod associate-/l/
1×sub-neg diff-log div-sub associate-/r/
Counts
3 → 88
Calls
3 calls:
6.0ms
(- (* (* z 2.0) z) (* y t))
18.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series276.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- (* (* z 2.0) z) (* y t))
188.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
52.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify59.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0419924
12101814
25001809

prune247.0ms

Filtered
97 candidates to 72 candidates (74.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 2.4b

localize10.0ms

Local error

Found 2 expressions with local error:

4.3b
(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
4.6b
(/ (* t y) z)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
46×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
12×add-exp-log add-cbrt-cube
6×div-inv
5×cbrt-undiv div-exp
4×associate-/l*
2×pow1 frac-2neg clear-num add-log-exp
1×prod-exp associate-/r/ cbrt-unprod
Counts
2 → 91
Calls
2 calls:
10.0ms
(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
4.0ms
(/ (* t y) z)

series198.0ms

Counts
2 → 6
Calls
2 calls:
175.0ms
(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
23.0ms
(/ (* t y) z)

simplify52.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0438983
11967924
25001923

prune252.0ms

Filtered
97 candidates to 75 candidates (77.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

regimes71.0ms

Accuracy

0% (1.8b remaining)

Error of 2.3b against oracle of 0.5b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample521.0ms

Algorithm
intervals
Results
322.0ms8000×body80valid