Details

Time bar (total: 3.6s)

sample22.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify33.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.1b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.2b
(- (* (* z 2.0) z) (* y t))
0.2b
(* (* y 2.0) z)
19.5b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
9×pow1 add-sqr-sqrt *-un-lft-identity
8×add-log-exp
7×add-cube-cbrt
6×prod-exp cbrt-unprod
3×cbrt-undiv flip3-- times-frac div-exp associate-*r* pow-prod-down associate-/r* flip--
2×sub-neg diff-log associate-/r/
1×frac-2neg associate-*l* clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 69
Calls
4 calls:
8.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
7.0ms
(- (* (* z 2.0) z) (* y t))
5.0ms
(* (* y 2.0) z)
9.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series315.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
39.0ms
(- (* (* z 2.0) z) (* y t))
17.0ms
(* (* y 2.0) z)
181.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify56.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0346636
11760550
25001550

prune181.0ms

Filtered
81 candidates to 53 candidates (65.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New74781
Fresh000
Picked101
Done000
Total75782

Merged error: 5.7b

Counts
82 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.2b
(- (* (* z 2.0) z) (* y t))
6.6b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
15.7b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite35.0ms

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:
10.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
7.0ms
(- (* (* z 2.0) z) (* y t))
8.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series354.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
37.0ms
(- (* (* z 2.0) z) (* y t))
183.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
51.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify66.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04721105
12263993
25002988

prune308.0ms

Filtered
114 candidates to 84 candidates (73.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1104114
Fresh246
Picked101
Done000
Total1138121

Merged error: 2.8b

Counts
121 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
3.9b
(/ (* t y) z)
6.3b
(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
56×add-sqr-sqrt
49×*-un-lft-identity
47×add-cube-cbrt
16×associate-/r*
13×add-exp-log add-cbrt-cube
6×div-inv
5×cbrt-undiv div-exp add-log-exp
4×associate-/l*
3×pow1 difference-of-squares
2×frac-2neg clear-num
1×sub-neg flip3-- diff-log prod-exp associate-/r/ flip-- cbrt-unprod distribute-lft-out--
Counts
3 → 107
Calls
3 calls:
15.0ms
(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
4.0ms
(/ (* t y) z)
8.0ms
(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

series269.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
19.0ms
(/ (* t y) z)
180.0ms
(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05041186
121351125
250011124

prune316.0ms

Filtered
116 candidates to 89 candidates (76.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1124116
Fresh527
Picked101
Done000
Total1186124

Merged error: 1.1b

Counts
124 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (/ (- (* 2.0 z) (/ t (/ z y))) 2.0)))
5.3b
(/ t (/ z y))
6.3b
(/ y (/ (- (* 2.0 z) (/ t (/ z y))) 2.0))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
96×add-sqr-sqrt
89×*-un-lft-identity
87×add-cube-cbrt
26×associate-/r*
13×add-exp-log add-cbrt-cube
10×div-inv
6×cbrt-undiv div-exp associate-/l*
5×add-log-exp
3×pow1 difference-of-squares
2×frac-2neg clear-num associate-/r/
1×sub-neg flip3-- diff-log flip-- distribute-lft-out--
Counts
3 → 156
Calls
3 calls:
21.0ms
(- x (/ y (/ (- (* 2.0 z) (/ t (/ z y))) 2.0)))
6.0ms
(/ t (/ z y))
14.0ms
(/ y (/ (- (* 2.0 z) (/ t (/ z y))) 2.0))

series261.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(- x (/ y (/ (- (* 2.0 z) (/ t (/ z y))) 2.0)))
20.0ms
(/ t (/ z y))
172.0ms
(/ y (/ (- (* 2.0 z) (/ t (/ z y))) 2.0))

simplify77.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
07121553
132061486
250011486

prune479.0ms

Filtered
165 candidates to 134 candidates (81.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1632165
Fresh235
Picked101
Done000
Total1665171

Merged error: 1.1b

Counts
171 → 5

regimes97.0ms

Accuracy

0% (0.5b remaining)

Error of 1.0b against oracle of 0.5b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample538.0ms

Algorithm
intervals
Results
327.0ms8000×body80valid