Details

Time bar (total: 3.9s)

sample30.0ms

Algorithm
intervals
Results
13.0ms373×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0276
1916
22896
37706
415146
518606
618856
718856

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.4b
(- (* x y) (* (* z 9.0) t))
8.2b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite21.0ms

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))

series155.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(* (* z 9.0) t)
60.0ms
(- (* x y) (* (* z 9.0) t))
76.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0346438
11623375
25001375

prune225.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* z (* 9.0 t))
0.4b
(- (* x y) (* z (* 9.0 t)))
8.2b
(/ (- (* 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-*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:
6.0ms
(* z (* 9.0 t))
3.0ms
(- (* x y) (* z (* 9.0 t)))
9.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series150.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(* z (* 9.0 t))
56.0ms
(- (* x y) (* z (* 9.0 t)))
75.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0342437
11396374
25001374

prune209.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.3b
(* 4.5 (/ (* t z) a))
5.8b
(/ (* x y) a)
6.4b
(/ (* 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:
7.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
9.0ms
(* 4.5 (/ (* t z) a))
4.0ms
(/ (* x y) a)
4.0ms
(/ (* t z) a)

series196.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
29.0ms
(* 4.5 (/ (* t z) a))
22.0ms
(/ (* x y) a)
27.0ms
(/ (* t z) a)

simplify67.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0405538
12002467
25001467

prune274.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
0.3b
(* 4.5 (/ t (/ a z)))
3.8b
(/ t (/ a z))
5.8b
(/ (* x y) a)

rewrite44.0ms

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))))
20.0ms
(* 4.5 (/ t (/ a z)))
5.0ms
(/ t (/ a z))
4.0ms
(/ (* x y) a)

series185.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
27.0ms
(* 4.5 (/ t (/ a z)))
26.0ms
(/ t (/ a z))
20.0ms
(/ (* x y) a)

simplify98.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
07431134
136871059
250011059

prune553.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes588.0ms

Accuracy

86.3% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 8.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04529
14529

end0.0ms

sample741.0ms

Algorithm
intervals
Results
404.0ms11222×body80valid