Details

Time bar (total: 3.9s)

sample30.0ms

Algorithm
intervals
Results
13.0ms366×body80valid

simplify95.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0276
1916
22896
37706
415146
518606
618856
718856

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
6.5b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u times-frac associate-*r* pow-prod-down log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg fma-neg diff-log div-sub associate-*l* prod-diff clear-num associate-/r* *-commutative div-inv
Counts
3 → 62
Calls
3 calls:
3.0ms
(- (* x y) (* (* z 9.0) t))
10.0ms
(* (* z 9.0) t)
9.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series151.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(- (* x y) (* (* z 9.0) t))
19.0ms
(* (* z 9.0) t)
72.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0346438
11623375
25002375

prune242.0ms

Filtered
71 candidates to 52 candidates (73.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 4.5 (/ (* t z) a))
0.2b
(* 0.5 (/ (* x y) a))
3.9b
(/ (* x y) a)
4.1b
(/ (* t z) a)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
18×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*r*
12×times-frac
10×prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp
6×associate-*l* associate-/r*
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
4 → 104
Calls
4 calls:
9.0ms
(* 4.5 (/ (* t z) a))
9.0ms
(* 0.5 (/ (* x y) a))
3.0ms
(/ (* x y) a)
4.0ms
(/ (* t z) a)

series108.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 4.5 (/ (* t z) a))
30.0ms
(* 0.5 (/ (* x y) a))
21.0ms
(/ (* x y) a)
27.0ms
(/ (* t z) a)

simplify64.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0388484
12044398
25002398

prune346.0ms

Filtered
116 candidates to 76 candidates (65.5%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
0.2b
(* (cbrt 4.5) (/ (* t z) a))
3.9b
(/ (* x y) a)
4.1b
(/ (* t z) a)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log
38×add-cbrt-cube
26×prod-exp cbrt-unprod
18×pow1
16×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
10×cbrt-undiv div-exp
9×times-frac pow-prod-down
8×associate-*r*
7×associate-*l*
6×associate-/r*
4×cbrt-prod expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative associate-/l* unswap-sqr
Counts
4 → 112
Calls
4 calls:
32.0ms
(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
10.0ms
(* (cbrt 4.5) (/ (* t z) a))
3.0ms
(/ (* x y) a)
4.0ms
(/ (* t z) a)

series251.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
95.0ms
(* (cbrt 4.5) (/ (* t z) a))
22.0ms
(/ (* x y) a)
23.0ms
(/ (* t z) a)

simplify71.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0433762
12185581
25002541

prune387.0ms

Filtered
124 candidates to 75 candidates (60.5%)
Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.5 (/ (* x y) a))
0.6b
(/ 1 (/ a (* t z)))
3.9b
(/ (* x y) a)
3.9b
(/ a (* t z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log
42×times-frac
32×add-cbrt-cube
29×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
18×div-exp
11×cbrt-undiv associate-/r*
9×prod-exp
8×div-inv
7×pow1 associate-*r* cbrt-unprod associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rec-exp frac-2neg 1-exp associate-*l* clear-num
1×pow-flip associate-*r/ pow-prod-down associate-/r/ *-commutative inv-pow unswap-sqr
Counts
4 → 133
Calls
4 calls:
12.0ms
(* 0.5 (/ (* x y) a))
7.0ms
(/ 1 (/ a (* t z)))
3.0ms
(/ (* x y) a)
3.0ms
(/ a (* t z))

series105.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* 0.5 (/ (* x y) a))
24.0ms
(/ 1 (/ a (* t z)))
22.0ms
(/ (* x y) a)
23.0ms
(/ a (* t z))

simplify71.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0462663
12324555
25001519

prune347.0ms

Filtered
145 candidates to 83 candidates (57.2%)
Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.2b

regimes600.0ms

Accuracy

48.5% (3.8b remaining)

Error of 4.2b against oracle of 0.4b and baseline of 7.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05440
15440

end0.0ms

sample758.0ms

Algorithm
intervals
Results
396.0ms11253×body80valid