Details

Time bar (total: 4.9s)

sample22.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0278
1638
21498
33588
48408
550018

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize12.0ms

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)))

rewrite61.0ms

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:
30.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
10.0ms
(- (* (* z 2.0) z) (* y t))
18.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series317.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
42.0ms
(- (* (* z 2.0) z) (* y t))
189.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify84.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
05061970
123921402
250021401

prune240.0ms

Pruning

7 alts after pruning (7 fresh and 0 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)

rewrite81.0ms

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:
30.0ms
(- 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))
22.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series382.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
43.0ms
(- (* (* z 2.0) z) (* y t))
194.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
57.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify125.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
08363783
137452919
250012916

prune459.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.7b

localize12.0ms

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)))))
4.6b
(/ (* t y) z)
6.6b
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

rewrite34.0ms

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:
5.0ms
(- (* 2.0 z) (/ (* t y) z))
11.0ms
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
3.0ms
(/ (* t y) z)
12.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

series308.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* 2.0 z) (/ (* t y) z))
71.0ms
(- 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))))

simplify98.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
06351781
131001162
250031159

prune294.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
1398×times-frac
803×add-sqr-sqrt
786×*-un-lft-identity
780×add-cube-cbrt
402×prod-diff
59×div-inv
49×associate-/r*
32×add-exp-log
20×add-cbrt-cube
18×div-exp
9×cbrt-undiv
7×associate-/l* difference-of-squares
6×add-log-exp
5×pow1
4×expm1-log1p-u associate-/r/ log1p-expm1-u
3×rec-exp frac-2neg fma-neg 1-exp clear-num
2×flip3-- flip-- associate-/l/ distribute-lft-out--
1×sub-neg pow-flip diff-log div-sub prod-exp cbrt-unprod inv-pow
Counts
4 → 685
Calls
4 calls:
77.0ms
(- x (/ 1 (/ (/ (- (* 2.0 z) (/ (* t y) z)) y) 2.0)))
21.0ms
(/ 1 (/ (/ (- (* 2.0 z) (/ (* t y) z)) y) 2.0))
3.0ms
(/ (* t y) z)
13.0ms
(/ (- (* 2.0 z) (/ (* t y) z)) y)

series164.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- x (/ 1 (/ (/ (- (* 2.0 z) (/ (* t y) z)) y) 2.0)))
39.0ms
(/ 1 (/ (/ (- (* 2.0 z) (/ (* t y) z)) y) 2.0))
20.0ms
(/ (* t y) z)
58.0ms
(/ (- (* 2.0 z) (/ (* t y) z)) y)

simplify278.0ms

Algorithm
egg-herbie
Counts
697 → 697
Iterations

Useful iterations: 1 (56.0ms)

IterNodesCost
0383431109
1500127432

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes90.0ms

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
0167
1167

end0.0ms

sample520.0ms

Algorithm
intervals
Results
311.0ms8000×body80valid