Details

Time bar (total: 4.0s)

sample29.0ms

Algorithm
intervals
Results
13.0ms362×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.0b

Counts
2 → 1

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
7.5b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite19.0ms

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:
4.0ms
(- (* x y) (* (* z 9.0) t))
5.0ms
(* (* z 9.0) t)
8.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series148.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- (* x y) (* (* z 9.0) t))
23.0ms
(* (* z 9.0) t)
70.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0346438
11623375
25002375

prune218.0ms

Filtered
71 candidates to 52 candidates (73.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New601171
Fresh000
Picked101
Done000
Total611172

Merged error: 7.6b

Counts
72 → 11

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* z (* 9.0 t)))
0.2b
(* z (* 9.0 t))
7.5b
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite18.0ms

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-*l* 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-*r* prod-diff clear-num associate-/r* *-commutative div-inv
Counts
3 → 62
Calls
3 calls:
4.0ms
(- (* x y) (* z (* 9.0 t)))
5.0ms
(* z (* 9.0 t))
8.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series149.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(- (* x y) (* z (* 9.0 t)))
19.0ms
(* z (* 9.0 t))
75.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0342437
11396374
25002374

prune172.0ms

Filtered
71 candidates to 50 candidates (70.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New71071
Fresh01010
Picked011
Done000
Total711182

Merged error: 7.6b

Counts
82 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
4.2b
(/ (* x y) a)
6.6b
(/ (* t z) a)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod add-log-exp
5×associate-*r/
4×expm1-log1p-u log1p-expm1-u
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- fma-neg diff-log prod-diff pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 93
Calls
4 calls:
6.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
7.0ms
(* 4.5 (/ (* t z) a))
5.0ms
(/ (* x y) a)
5.0ms
(/ (* t z) a)

series195.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
30.0ms
(* 4.5 (/ (* t z) a))
21.0ms
(/ (* x y) a)
26.0ms
(/ (* t z) a)

simplify67.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0405538
12002467
25001467

prune277.0ms

Filtered
105 candidates to 72 candidates (68.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New978105
Fresh549
Picked101
Done101
Total10412116

Merged error: 0.5b

Counts
116 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
0.2b
(* 4.5 (/ t (/ a z)))
4.2b
(/ (* x y) a)
5.5b
(/ t (/ a z))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
93×add-sqr-sqrt
84×add-cube-cbrt *-un-lft-identity
44×associate-*r*
23×add-exp-log add-cbrt-cube
16×associate-/r*
10×div-inv
8×cbrt-undiv div-exp
6×pow1 add-log-exp
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u associate-/l*
3×associate-*r/ associate-*l* unswap-sqr
2×frac-2neg clear-num associate-/r/
1×sub-neg flip3-- fma-neg diff-log prod-diff pow-prod-down *-commutative frac-sub flip--
Counts
4 → 180
Calls
4 calls:
7.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
15.0ms
(* 4.5 (/ t (/ a z)))
5.0ms
(/ (* x y) a)
7.0ms
(/ t (/ a z))

series203.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
36.0ms
(* 4.5 (/ t (/ a z)))
21.0ms
(/ (* x y) a)
24.0ms
(/ t (/ a z))

simplify114.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
07431134
136661059
250021059

prune531.0ms

Filtered
192 candidates to 151 candidates (78.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1884192
Fresh4711
Picked101
Done000
Total19311204

Merged error: 0.0b

Counts
204 → 11

regimes778.0ms

Accuracy

82.3% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 7.9b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04627
14627

end0.0ms

sample750.0ms

Algorithm
intervals
Results
414.0ms11212×body80valid