Details

Time bar (total: 2.7s)

sample15.0ms

Algorithm
intervals
Results
6.0ms267×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1173
2173

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.3b
(/ x (- y (* z t)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow1 flip3-- associate-/r/ flip--
cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
3.0ms
(- y (* z t))
4.0ms
(/ x (- y (* z t)))

series65.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(- y (* z t))
37.0ms
(/ x (- y (* z t)))

simplify118.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0157244
1479225
21392225
34348224
45001224

prune103.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.4b
(/ 1 (- y (* z t)))
3.4b
(* x (/ 1 (- y (* z t))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
pow1
add-log-exp
div-exp prod-exp associate-/r/
flip3-- associate-*l* associate-/r* flip-- associate-/l* unswap-sqr
cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 83
Calls
3 calls:
3.0ms
(- y (* z t))
4.0ms
(/ 1 (- y (* z t)))
8.0ms
(* x (/ 1 (- y (* z t))))

series112.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- y (* z t))
41.0ms
(/ 1 (- y (* z t)))
37.0ms
(* x (/ 1 (- y (* z t))))

simplify78.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0264479
11071416
23863386
35001386

prune160.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.6b
(/ 1 (/ (- y (* z t)) x))
3.4b
(/ (- y (* z t)) x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
div-exp
div-inv associate-/l*
add-log-exp
pow1 cbrt-undiv
rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 118
Calls
3 calls:
3.0ms
(- y (* z t))
6.0ms
(/ 1 (/ (- y (* z t)) x))
5.0ms
(/ (- y (* z t)) x)

series171.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(- y (* z t))
96.0ms
(/ 1 (/ (- y (* z t)) x))
47.0ms
(/ (- y (* z t)) x)

simplify48.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0409937
11775836
25001759

prune202.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.5b
(/ (cbrt x) (- y (* z t)))
2.1b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
38×times-frac
34×add-cube-cbrt *-un-lft-identity
28×cbrt-prod
24×associate-*r*
18×add-exp-log
11×add-cbrt-cube
pow1
prod-exp cbrt-unprod associate-/l*
associate-/r/ add-log-exp
cbrt-undiv div-exp pow-prod-down associate-/r* unswap-sqr
flip3-- pow1/3 flip-- div-inv
frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
5.0ms
(/ (cbrt x) (- y (* z t)))
17.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

series532.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
180.0ms
(cbrt x)
116.0ms
(/ (cbrt x) (- y (* z t)))
56.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

simplify62.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0380929
11986793
25001764

prune324.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 3.3b

regimes202.0ms

Accuracy

0% (0.1b remaining)

Error of 2.7b against oracle of 2.6b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample402.0ms

Algorithm
intervals
Results
201.0ms8395×body80valid