Details

Time bar (total: 3.8s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify37.0ms

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: 10.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.7b
(- (* (* z 2.0) z) (* y t))
18.8b
(/ (* (* 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:
32.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
7.0ms
(- (* (* z 2.0) z) (* y t))
18.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series303.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
40.0ms
(- (* (* z 2.0) z) (* y t))
182.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify83.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05061970
123921402
250021401

prune231.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.7b
(- (* (* z 2.0) z) (* y t))
5.0b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
19.4b
(/ (- (* (* 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))
16.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series363.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
41.0ms
(- (* (* z 2.0) z) (* y t))
185.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
55.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify124.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
08363783
137452919
250012916

prune432.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.4b

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))
4.4b
(/ (* t y) z)
5.0b
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

rewrite40.0ms

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:
21.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
4.0ms
(- (* z 2.0) (/ (* t y) z))
3.0ms
(/ (* t y) z)
8.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

series300.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
42.0ms
(- (* z 2.0) (/ (* t y) z))
19.0ms
(/ (* t y) z)
173.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

simplify85.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06131989
128471406
250011405

prune274.0ms

Pruning

3 alts after pruning (3 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 (/ y z)))))
0.0b
(- (* z 2.0) (* t (/ y z)))
5.0b
(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))
5.1b
(* t (/ y z))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
32×*-un-lft-identity
30×add-cube-cbrt
28×prod-diff
22×times-frac
14×add-exp-log add-cbrt-cube
13×associate-*r*
8×associate-/r/ add-log-exp
6×pow1 flip3-- flip--
5×div-inv
4×expm1-log1p-u fma-neg log1p-expm1-u
3×cbrt-undiv div-exp associate-*l* prod-exp associate-/r* cbrt-unprod
2×sub-neg diff-log unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 121
Calls
4 calls:
15.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (* t (/ y z)))))
3.0ms
(- (* z 2.0) (* t (/ y z)))
6.0ms
(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))
7.0ms
(* t (/ y z))

series298.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (* t (/ y z)))))
39.0ms
(- (* z 2.0) (* t (/ y z)))
171.0ms
(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))
19.0ms
(* t (/ y z))

simplify77.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05881923
126081386
250011385

prune282.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

regimes111.0ms

Accuracy

0% (1.4b remaining)

Error of 2.2b against oracle of 0.8b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample510.0ms

Algorithm
intervals
Results
303.0ms8000×body80valid