Details

Time bar (total: 4.0s)

sample28.0ms

Algorithm
intervals
Results
12.0ms376×body80valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0276
1916
22896
37706
415146
518606
618856
718856

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
7.7b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite20.0ms

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))
7.0ms
(* (* z 9.0) t)
9.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series147.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(- (* x y) (* (* z 9.0) t))
19.0ms
(* (* z 9.0) t)
74.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0346438
11623375
25002375

prune225.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.9b

localize11.0ms

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))
4.8b
(/ (* x y) a)
6.1b
(/ (* t z) a)

rewrite30.0ms

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:
11.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
9.0ms
(* 4.5 (/ (* t z) a))
3.0ms
(/ (* x y) a)
4.0ms
(/ (* t z) a)

series193.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
29.0ms
(* 4.5 (/ (* t z) a))
21.0ms
(/ (* x y) a)
21.0ms
(/ (* t z) a)

simplify57.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0405538
12002467
25001467

prune507.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

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)))
4.8b
(/ (* x y) a)
5.1b
(* t (/ z a))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
20×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×associate-*r*
13×times-frac
11×pow1
9×associate-*r/
8×prod-exp cbrt-unprod
6×associate-*l* add-log-exp
4×cbrt-undiv expm1-log1p-u div-exp pow-prod-down log1p-expm1-u
3×associate-/r*
2×*-commutative div-inv unswap-sqr
1×sub-neg flip3-- frac-2neg fma-neg diff-log prod-diff clear-num frac-sub flip-- associate-/l* sub-div
Counts
4 → 98
Calls
4 calls:
8.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (* t (/ z a))))
11.0ms
(* 4.5 (* t (/ z a)))
3.0ms
(/ (* x y) a)
8.0ms
(* t (/ z a))

series190.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (* t (/ z a))))
29.0ms
(* 4.5 (* t (/ z a)))
25.0ms
(/ (* x y) a)
21.0ms
(* t (/ z a))

simplify67.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0453557
12144486
25001486

prune291.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ x (/ a y))) (* 4.5 (* t (/ z a))))
0.2b
(* 4.5 (* t (/ z a)))
4.8b
(/ x (/ a y))
5.1b
(* t (/ z a))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
85×times-frac
60×add-sqr-sqrt
55×add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
14×associate-*r*
13×associate-/r*
11×pow1
7×prod-exp cbrt-unprod
6×associate-*r/ associate-*l* div-inv add-log-exp
5×cbrt-undiv div-exp
4×expm1-log1p-u pow-prod-down log1p-expm1-u
3×associate-/l*
2×*-commutative unswap-sqr
1×sub-neg flip3-- frac-2neg fma-neg diff-log prod-diff clear-num associate-/r/ frac-sub flip--
Counts
4 → 146
Calls
4 calls:
9.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (* t (/ z a))))
11.0ms
(* 4.5 (* t (/ z a)))
5.0ms
(/ x (/ a y))
10.0ms
(* t (/ z a))

series166.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (* t (/ z a))))
33.0ms
(* 4.5 (* t (/ z a)))
23.0ms
(/ x (/ a y))
21.0ms
(* t (/ z a))

simplify87.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
0665913
13026838
25001838

prune443.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes607.0ms

Accuracy

83.2% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 8.2b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05330
15330

end0.0ms

sample709.0ms

Algorithm
intervals
Results
376.0ms11217×body80valid