Details

Time bar (total: 4.2s)

sample22.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify41.0ms

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: 11.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.9b
(- (* (* z 2.0) z) (* y t))
17.0b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite27.0ms

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:
9.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
5.0ms
(- (* (* z 2.0) z) (* y t))
10.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series338.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
39.0ms
(- (* (* z 2.0) z) (* y t))
216.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify84.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
05061970
123921402
250021401

prune227.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.9b
(- (* (* z 2.0) z) (* y t))
5.6b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
19.2b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite44.0ms

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:
12.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
5.0ms
(- (* (* z 2.0) z) (* y t))
12.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
8.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series369.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
38.0ms
(- (* (* z 2.0) z) (* y t))
193.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
53.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify126.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
08363783
137452919
250012916

prune426.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
0.0b
(- (* z 2.0) (/ (* t y) z))
4.8b
(/ (* t y) z)
5.6b
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
34×prod-diff
28×add-sqr-sqrt *-un-lft-identity
26×add-cube-cbrt
18×times-frac
14×add-exp-log add-cbrt-cube
8×associate-/r/ add-log-exp
6×flip3-- associate-/r* flip-- div-inv
4×pow1 cbrt-undiv expm1-log1p-u fma-neg div-exp log1p-expm1-u
2×sub-neg frac-2neg diff-log prod-exp clear-num cbrt-unprod associate-/l*
1×distribute-lft-out-- difference-of-squares
Counts
4 → 116
Calls
4 calls:
9.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
5.0ms
(- (* z 2.0) (/ (* t y) z))
4.0ms
(/ (* t y) z)
8.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

series295.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
38.0ms
(- (* z 2.0) (/ (* t y) z))
18.0ms
(/ (* t y) z)
168.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

simplify88.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06131989
128471406
250011405

prune287.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* z 2.0) (/ t (/ z y)))))
0.0b
(- (* z 2.0) (/ t (/ z y)))
5.6b
(/ (* y 2.0) (- (* z 2.0) (/ t (/ z y))))
6.5b
(/ t (/ z y))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
101×add-sqr-sqrt *-un-lft-identity
99×add-cube-cbrt
71×prod-diff
16×associate-/r*
14×add-exp-log add-cbrt-cube
13×div-inv
10×associate-/r/
8×add-log-exp
6×flip3-- flip--
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u fma-neg log1p-expm1-u associate-/l*
2×sub-neg frac-2neg diff-log clear-num
1×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
Counts
4 → 202
Calls
4 calls:
18.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ t (/ z y)))))
12.0ms
(- (* z 2.0) (/ t (/ z y)))
13.0ms
(/ (* y 2.0) (- (* z 2.0) (/ t (/ z y))))
6.0ms
(/ t (/ z y))

series293.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ t (/ z y)))))
38.0ms
(- (* z 2.0) (/ t (/ z y)))
167.0ms
(/ (* y 2.0) (- (* z 2.0) (/ t (/ z y))))
20.0ms
(/ t (/ z y))

simplify63.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014003592
150012719

prune532.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

regimes114.0ms

Accuracy

0% (1.7b remaining)

Error of 2.2b against oracle of 0.5b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample731.0ms

Algorithm
intervals
Results
515.0ms8000×body80valid