Details

Time bar (total: 5.0s)

sample27.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify49.0ms

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: 13.0b

localize12.0ms

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))
19.9b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite149.0ms

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:
76.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
20.0ms
(- (* (* z 2.0) z) (* y t))
50.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series345.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
46.0ms
(- (* (* z 2.0) z) (* y t))
199.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify99.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
05061970
123921402
250011401

prune263.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.6b

localize12.0ms

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))
5.8b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
19.3b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite169.0ms

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:
59.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
19.0ms
(- (* (* z 2.0) z) (* y t))
35.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
48.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series398.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
41.0ms
(- (* (* z 2.0) z) (* y t))
203.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
59.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify145.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
08363783
137442919
250022916

prune771.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.3b

localize11.0ms

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))
5.1b
(/ (* t y) z)
5.8b
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

rewrite93.0ms

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:
39.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
17.0ms
(- (* z 2.0) (/ (* t y) z))
10.0ms
(/ (* t y) z)
24.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

series342.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
44.0ms
(- (* z 2.0) (/ (* t y) z))
25.0ms
(/ (* t y) z)
191.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

simplify109.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
06131989
128471406
250011405

prune326.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.8b

localize14.0ms

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)))
5.8b
(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))
6.3b
(* t (/ y z))

rewrite77.0ms

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:
33.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (* t (/ y z)))))
8.0ms
(- (* z 2.0) (* t (/ y z)))
17.0ms
(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))
14.0ms
(* t (/ y z))

series333.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (* t (/ y z)))))
48.0ms
(- (* z 2.0) (* t (/ y z)))
187.0ms
(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))
20.0ms
(* t (/ y z))

simplify101.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
05881923
126081386
250011385

prune334.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.8b

regimes137.0ms

Accuracy

-12.1% (2.3b remaining)

Error of 2.8b against oracle of 0.5b and baseline of 2.5b

bsearch110.0ms

Steps
ItersRangePoint
8
1.529348907157365e-298
5.392511489534144e-296
3.8725642139486444e-297
7
-2.6295099999438543e-217
-1.807249532923465e-219
-7.171100663984459e-219

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03716
13716

end0.0ms

sample591.0ms

Algorithm
intervals
Results
314.0ms8000×body80valid