Details

Time bar (total: 4.0s)

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0268
1618
21418
33478
47928
550028

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.1b
(- (* (* z 2.0) z) (* y t))
20.9b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity add-log-exp
5×add-cube-cbrt
3×pow1 cbrt-undiv flip3-- times-frac div-exp prod-exp associate-/r* flip-- cbrt-unprod
2×sub-neg diff-log associate-/r/
1×frac-2neg clear-num div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 51
Calls
3 calls:
23.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
7.0ms
(- (* (* z 2.0) z) (* y t))
19.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series325.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
41.0ms
(- (* (* z 2.0) z) (* y t))
196.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify46.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0318564
11519493
25002493

prune153.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
1.1b
(- (* (* z 2.0) z) (* y t))
6.6b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.6b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
28×add-sqr-sqrt *-un-lft-identity
26×add-cube-cbrt
18×add-exp-log add-cbrt-cube
16×associate-/r*
8×add-log-exp
7×cbrt-undiv div-exp
4×pow1 div-inv associate-/l*
3×flip3-- flip--
2×sub-neg frac-2neg diff-log prod-exp clear-num cbrt-unprod associate-/l/
1×div-sub associate-/r/ distribute-lft-out-- difference-of-squares
Counts
4 → 102
Calls
4 calls:
25.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
7.0ms
(- (* (* z 2.0) z) (* y t))
15.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series378.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
39.0ms
(- (* (* z 2.0) z) (* y t))
196.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
55.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04721105
12263993
25002988

prune304.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 2.0 z) (/ (* t y) z))
0.0b
(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
4.6b
(/ (* t y) z)
6.6b
(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
57×add-sqr-sqrt
50×*-un-lft-identity
48×add-cube-cbrt
16×associate-/r*
14×add-exp-log add-cbrt-cube
8×add-log-exp
6×div-inv
5×cbrt-undiv div-exp
4×pow1 associate-/l*
3×difference-of-squares
2×sub-neg flip3-- frac-2neg diff-log clear-num flip--
1×prod-exp associate-/r/ cbrt-unprod distribute-lft-out--
Counts
4 → 119
Calls
4 calls:
4.0ms
(- (* 2.0 z) (/ (* t y) z))
24.0ms
(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
3.0ms
(/ (* t y) z)
10.0ms
(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

series318.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* 2.0 z) (/ (* t y) z))
73.0ms
(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
20.0ms
(/ (* t y) z)
184.0ms
(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

simplify62.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05511284
123101219
250011218

prune356.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1 (/ (/ (- (* 2.0 z) (/ (* t y) z)) 2.0) y)))
0.6b
(/ 1 (/ (/ (- (* 2.0 z) (/ (* t y) z)) 2.0) y))
4.6b
(/ (* t y) z)
6.5b
(/ (/ (- (* 2.0 z) (/ (* t y) z)) 2.0) y)

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
483×times-frac
255×add-sqr-sqrt
238×*-un-lft-identity
232×add-cube-cbrt
49×associate-/r*
35×add-exp-log
24×div-inv
23×add-cbrt-cube
20×div-exp
17×associate-/l*
11×cbrt-undiv
7×difference-of-squares
6×add-log-exp
5×pow1
3×rec-exp frac-2neg 1-exp clear-num
2×div-sub distribute-lft-out--
1×sub-neg flip3-- pow-flip diff-log prod-exp associate-/r/ flip-- cbrt-unprod associate-/l/ inv-pow
Counts
4 → 313
Calls
4 calls:
57.0ms
(- x (/ 1 (/ (/ (- (* 2.0 z) (/ (* t y) z)) 2.0) y)))
22.0ms
(/ 1 (/ (/ (- (* 2.0 z) (/ (* t y) z)) 2.0) y))
3.0ms
(/ (* t y) z)
13.0ms
(/ (/ (- (* 2.0 z) (/ (* t y) z)) 2.0) y)

series174.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- x (/ 1 (/ (/ (- (* 2.0 z) (/ (* t y) z)) 2.0) y)))
40.0ms
(/ 1 (/ (/ (- (* 2.0 z) (/ (* t y) z)) 2.0) y))
20.0ms
(/ (* t y) z)
67.0ms
(/ (/ (- (* 2.0 z) (/ (* t y) z)) 2.0) y)

simplify66.0ms

Algorithm
egg-herbie
Counts
325 → 325
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012364525
150013914

prune692.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes139.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0187
1187

end0.0ms

sample510.0ms

Algorithm
intervals
Results
303.0ms8000×body80valid