Details

Time bar (total: 3.0s)

sample28.0ms

Algorithm
intervals
Results
13.0ms365×body80valid

simplify80.0ms

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: 5.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* z 9.0) t)
5.2b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log add-cbrt-cube
7×pow1
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- frac-2neg div-sub associate-*l* clear-num associate-/r* *-commutative flip-- div-inv
Counts
2 → 46
Calls
2 calls:
6.0ms
(* (* z 9.0) t)
12.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series108.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* (* z 9.0) t)
86.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0299324
11287268
25001268

prune151.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(* z (* 9.0 t))
5.2b
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log add-cbrt-cube
7×pow1
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×prod-exp cbrt-unprod
3×times-frac associate-*l* pow-prod-down associate-/l*
2×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- frac-2neg div-sub associate-*r* clear-num associate-/r* *-commutative flip-- div-inv
Counts
2 → 46
Calls
2 calls:
5.0ms
(* z (* 9.0 t))
7.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series93.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* z (* 9.0 t))
73.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0291323
11203267
25001267

prune145.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* z 9.0) t)
5.2b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log add-cbrt-cube
7×pow1
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- frac-2neg div-sub associate-*l* clear-num associate-/r* *-commutative flip-- div-inv
Counts
2 → 46
Calls
2 calls:
5.0ms
(* (* z 9.0) t)
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series88.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* (* z 9.0) t)
70.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0299324
11287268
25001268

prune131.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.2b

localize15.0ms

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))
5.1b
(/ (* t z) a)
5.8b
(/ (* x y) a)

rewrite24.0ms

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
(/ (* t z) a)
5.0ms
(/ (* x y) a)

series200.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
36.0ms
(* 4.5 (/ (* t z) a))
22.0ms
(/ (* t z) a)
22.0ms
(/ (* x y) a)

simplify59.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0405538
12002467
25001467

prune259.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

regimes629.0ms

Accuracy

44.1% (3.9b remaining)

Error of 4.4b against oracle of 0.5b and baseline of 7.5b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04532
14532

end0.0ms

sample716.0ms

Algorithm
intervals
Results
394.0ms11095×body80valid