Details

Time bar (total: 4.2s)

sample32.0ms

Algorithm
intervals
Results
20.0ms256×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: 11.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.2b
(* (* y 2.0) z)
0.6b
(- (* (* z 2.0) z) (* y t))
17.1b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
28×prod-diff
25×add-sqr-sqrt *-un-lft-identity
23×add-cube-cbrt
18×add-exp-log add-cbrt-cube
12×times-frac
9×pow1
8×associate-/r/ add-log-exp
6×flip3-- prod-exp flip-- cbrt-unprod
4×expm1-log1p-u fma-neg log1p-expm1-u div-inv
3×cbrt-undiv div-exp associate-*r* pow-prod-down associate-/r*
2×sub-neg diff-log
1×frac-2neg associate-*l* clear-num *-commutative associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 109
Calls
4 calls:
29.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
6.0ms
(* (* y 2.0) z)
7.0ms
(- (* (* z 2.0) z) (* y t))
17.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series322.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
17.0ms
(* (* y 2.0) z)
38.0ms
(- (* (* z 2.0) z) (* y t))
185.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify93.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
05362048
126431465
250011464

prune267.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.6b
(- (* (* z 2.0) z) (* y t))
4.3b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
16.7b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite77.0ms

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:
31.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
7.0ms
(- (* (* z 2.0) z) (* y t))
14.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series359.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
38.0ms
(- (* (* z 2.0) z) (* y t))
187.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
51.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify123.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
08363783
137442919
250022916

prune437.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 2.0 z) (/ (* t y) z))
0.0b
(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
3.9b
(/ (* t y) z)
4.3b
(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

rewrite37.0ms

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:
4.0ms
(- (* 2.0 z) (/ (* t y) z))
17.0ms
(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
3.0ms
(/ (* t y) z)
9.0ms
(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

series306.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* 2.0 z) (/ (* t y) z))
70.0ms
(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
18.0ms
(/ (* t y) z)
173.0ms
(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

simplify86.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06101989
128211406
250011405

prune275.0ms

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
(- (* 2.0 z) (* t (/ y z)))
0.0b
(- x (/ (* y 2.0) (- (* 2.0 z) (* t (/ y z)))))
4.3b
(/ (* y 2.0) (- (* 2.0 z) (* t (/ y z))))
5.2b
(* t (/ y z))

rewrite36.0ms

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:
3.0ms
(- (* 2.0 z) (* t (/ y z)))
13.0ms
(- x (/ (* y 2.0) (- (* 2.0 z) (* t (/ y z)))))
6.0ms
(/ (* y 2.0) (- (* 2.0 z) (* t (/ y z))))
10.0ms
(* t (/ y z))

series307.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (* 2.0 z) (* t (/ y z)))
73.0ms
(- x (/ (* y 2.0) (- (* 2.0 z) (* t (/ y z)))))
176.0ms
(/ (* y 2.0) (- (* 2.0 z) (* t (/ y z))))
20.0ms
(* t (/ y z))

simplify92.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
05881923
126081386
250011385

prune296.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

regimes88.0ms

Accuracy

0% (1.8b remaining)

Error of 2.3b against oracle of 0.5b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample850.0ms

Algorithm
intervals
Results
628.0ms8000×body80valid