Details

Time bar (total: 4.2s)

sample32.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0278
1638
21498
33588
48408
550018

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.3b
(- (* (* z 2.0) z) (* y t))
19.0b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
28×prod-diff
23×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
12×add-exp-log times-frac add-cbrt-cube
8×associate-/r/
7×add-log-exp
6×flip3-- flip--
4×fma-neg div-inv
3×pow1 cbrt-undiv expm1-log1p-u div-exp prod-exp associate-/r* cbrt-unprod log1p-expm1-u
2×sub-neg diff-log
1×frac-2neg clear-num associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 89
Calls
3 calls:
29.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
7.0ms
(- (* (* z 2.0) z) (* y t))
17.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series311.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
40.0ms
(- (* (* z 2.0) z) (* y t))
184.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify82.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
05061970
123921402
250021401

prune239.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
1.3b
(- (* (* z 2.0) z) (* y t))
5.5b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
16.8b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
106×times-frac
71×add-sqr-sqrt *-un-lft-identity
69×add-cube-cbrt
55×prod-diff
18×add-exp-log add-cbrt-cube
16×associate-/r*
10×div-inv
8×add-log-exp
7×cbrt-undiv div-exp
4×pow1 expm1-log1p-u fma-neg associate-/r/ log1p-expm1-u associate-/l*
3×flip3-- flip--
2×sub-neg frac-2neg diff-log prod-exp clear-num cbrt-unprod associate-/l/
1×div-sub distribute-lft-out-- difference-of-squares
Counts
4 → 169
Calls
4 calls:
29.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
7.0ms
(- (* (* z 2.0) z) (* y t))
14.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series373.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
41.0ms
(- (* (* z 2.0) z) (* y t))
196.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
52.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify122.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
08363783
137452919
250012916

prune426.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 2.0 z) (/ (* t y) z))
0.0b
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
4.5b
(/ (* t y) z)
5.5b
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
28×prod-diff
26×add-exp-log
21×add-sqr-sqrt *-un-lft-identity add-cbrt-cube
19×add-cube-cbrt
10×times-frac
8×associate-*r/ div-exp prod-exp associate-/r/ add-log-exp
6×cbrt-undiv flip3-- flip-- div-inv
5×cbrt-unprod
4×pow1 expm1-log1p-u fma-neg associate-/r* log1p-expm1-u
2×sub-neg frac-2neg diff-log 1-exp clear-num associate-/l*
1×distribute-lft-out-- difference-of-squares
Counts
4 → 112
Calls
4 calls:
8.0ms
(- (* 2.0 z) (/ (* t y) z))
20.0ms
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
6.0ms
(/ (* t y) z)
12.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

series311.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* 2.0 z) (/ (* t y) z))
70.0ms
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
19.0ms
(/ (* t y) z)
179.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

simplify92.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
06351781
131001162
250031159

prune255.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 2.0 z) (* t (/ y z)))
0.0b
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z))))))
5.5b
(/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z)))))
5.8b
(* t (/ y z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
26×add-exp-log
25×*-un-lft-identity
23×add-cube-cbrt
22×prod-diff
21×add-cbrt-cube
14×times-frac
13×associate-*r*
9×associate-*r/ prod-exp
8×associate-/r/ add-log-exp
7×div-exp
6×pow1 flip3-- flip-- cbrt-unprod
5×cbrt-undiv div-inv
4×expm1-log1p-u fma-neg log1p-expm1-u
3×associate-*l*
2×sub-neg diff-log 1-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 117
Calls
4 calls:
3.0ms
(- (* 2.0 z) (* t (/ y z)))
10.0ms
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z))))))
7.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z)))))
7.0ms
(* t (/ y z))

series303.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* 2.0 z) (* t (/ y z)))
70.0ms
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z))))))
171.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z)))))
22.0ms
(* t (/ y z))

simplify82.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06131715
128801142
250021139

prune273.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.9b

regimes128.0ms

Accuracy

0% (2.0b remaining)

Error of 2.5b against oracle of 0.6b and baseline of 2.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1228
2228

end0.0ms

sample822.0ms

Algorithm
intervals
Results
609.0ms8000×body80valid