Details

Time bar (total: 4.5s)

sample39.0ms

Algorithm
intervals
Results
23.0ms378×body80valid

simplify78.0ms

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: 8.5b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.5b
(- (* x y) (* (* z 9.0) t))
8.0b
(/ (- (* 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:
7.0ms
(* (* z 9.0) t)
3.0ms
(- (* x y) (* (* z 9.0) t))
9.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series137.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(* (* z 9.0) t)
51.0ms
(- (* x y) (* (* z 9.0) t))
68.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0346438
11623375
25001375

prune196.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.1b

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))
4.6b
(/ (* x y) a)
7.4b
(/ (* t z) a)

rewrite27.0ms

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:
7.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
8.0ms
(* 4.5 (/ (* t z) a))
3.0ms
(/ (* x y) a)
3.0ms
(/ (* t z) a)

series175.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
27.0ms
(* 4.5 (/ (* t z) a))
19.0ms
(/ (* x y) a)
20.0ms
(/ (* t z) a)

simplify59.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0405538
12002467
25001467

prune270.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
0.2b
(* 4.5 (/ t (/ a z)))
4.6b
(/ (* x y) a)
4.9b
(/ t (/ a z))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
98×add-sqr-sqrt
87×add-cube-cbrt *-un-lft-identity
51×associate-*r*
32×add-exp-log add-cbrt-cube
16×associate-/r*
11×div-inv
10×cbrt-undiv div-exp
8×pow1 prod-exp cbrt-unprod
6×associate-*l*
4×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r/ *-commutative
Counts
4 → 192
Calls
4 calls:
8.0ms
(* 0.5 (/ (* x y) a))
19.0ms
(* 4.5 (/ t (/ a z)))
3.0ms
(/ (* x y) a)
5.0ms
(/ t (/ a z))

series101.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 0.5 (/ (* x y) a))
27.0ms
(* 4.5 (/ t (/ a z)))
19.0ms
(/ (* x y) a)
26.0ms
(/ t (/ a z))

simplify92.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07231084
13698993
25002993

prune582.0ms

Pruning

11 alts after pruning (11 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 (/ a z))))
0.2b
(* 4.5 (/ t (/ a z)))
4.9b
(/ t (/ a z))
5.9b
(/ x (/ a y))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
219×times-frac
133×add-sqr-sqrt
124×add-cube-cbrt *-un-lft-identity
44×associate-*r*
26×associate-/r*
23×add-exp-log add-cbrt-cube
14×div-inv
9×cbrt-undiv div-exp
6×pow1 associate-/l* add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-*r/ associate-*l* prod-exp associate-/r/ cbrt-unprod unswap-sqr
2×frac-2neg clear-num
1×sub-neg flip3-- fma-neg diff-log prod-diff pow-prod-down *-commutative frac-sub flip--
Counts
4 → 229
Calls
4 calls:
8.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ t (/ a z))))
22.0ms
(* 4.5 (/ t (/ a z)))
5.0ms
(/ t (/ a z))
5.0ms
(/ x (/ a y))

series159.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ t (/ a z))))
32.0ms
(* 4.5 (/ t (/ a z)))
21.0ms
(/ t (/ a z))
22.0ms
(/ x (/ a y))

simplify106.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09511495
145051415
250021415

prune718.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes532.0ms

Accuracy

87.2% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 8.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04929
14929

end0.0ms

sample1.0s

Algorithm
intervals
Results
688.0ms11133×body80valid