Details

Time bar (total: 4.4s)

sample25.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify35.0ms

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: 12.2b

localize11.0ms

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)
0.5b
(- (* (* z 2.0) z) (* y t))
19.7b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite158.0ms

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:
73.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
16.0ms
(* (* y 2.0) z)
19.0ms
(- (* (* z 2.0) z) (* y t))
46.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series300.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
15.0ms
(* (* y 2.0) z)
34.0ms
(- (* (* z 2.0) z) (* y t))
174.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify88.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05362048
126431465
250011464

prune265.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
0.5b
(- (* 2.0 (pow z 2)) (* t y))
4.6b
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
17.8b
(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×add-exp-log times-frac add-cbrt-cube
15×associate-*r*
9×pow1
8×add-log-exp
6×prod-exp cbrt-unprod
4×expm1-log1p-u flip3-- fma-neg prod-diff associate-/r/ flip-- log1p-expm1-u
3×cbrt-undiv div-exp pow-prod-down associate-/r* associate-/l*
2×sub-neg diff-log div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 104
Calls
4 calls:
6.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
11.0ms
(- (* 2.0 (pow z 2)) (* t y))
46.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
15.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

series337.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
40.0ms
(- (* 2.0 (pow z 2)) (* t y))
174.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
45.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify67.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
04351047
12138914
25001909

prune312.0ms

Pruning

10 alts after pruning (9 fresh and 1 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)))
0.5b
(- (* (* z 2.0) z) (* y t))
5.4b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.7b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite159.0ms

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:
56.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
20.0ms
(- (* (* z 2.0) z) (* y t))
31.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
45.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series538.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
242.0ms
(- (* (* z 2.0) z) (* y t))
171.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
49.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify134.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
08363783
137452919
250012916

prune424.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.8b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
0.0b
(- (* 2.0 z) (/ (* t y) z))
5.2b
(/ (* t y) z)
5.4b
(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

rewrite84.0ms

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:
36.0ms
(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
11.0ms
(- (* 2.0 z) (/ (* t y) z))
13.0ms
(/ (* t y) z)
20.0ms
(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

series285.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
41.0ms
(- (* 2.0 z) (/ (* t y) z))
18.0ms
(/ (* t y) z)
159.0ms
(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

simplify90.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
06101989
128211406
250021405

prune272.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes115.0ms

Accuracy

4.5% (1.9b remaining)

Error of 2.4b against oracle of 0.5b and baseline of 2.5b

bsearch39.0ms

Steps
ItersRangePoint
6
-1.6882289032898602e+42
-3.242436378278166e+41
-1.6626377351227367e+42

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03855
13855

end0.0ms

sample575.0ms

Algorithm
intervals
Results
296.0ms8000×body80valid