Details

Time bar (total: 3.3s)

sample28.0ms

Algorithm
intervals
Results
12.0ms373×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0266
1896
22776
37356
414366
517146
617306
717306

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

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))

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×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
6.0ms
(* (* z 9.0) t)
2.0ms
(- (* x y) (* (* z 9.0) t))
8.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series134.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (* z 9.0) t)
53.0ms
(- (* x y) (* (* z 9.0) t))
64.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326399
11408341
25002341

prune162.0ms

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×times-frac associate-*l* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*r* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
8.0ms
(* z (* 9.0 t))
2.0ms
(- (* x y) (* z (* 9.0 t)))
8.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series132.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* z (* 9.0 t))
53.0ms
(- (* x y) (* z (* 9.0 t)))
62.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0318398
11325340
25002340

prune149.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.4b

localize11.0ms

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)

rewrite22.0ms

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/
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 83
Calls
4 calls:
6.0ms
(- (* 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)

series173.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
27.0ms
(* 4.5 (/ (* t z) a))
19.0ms
(/ (* x y) a)
22.0ms
(/ (* t z) a)

simplify54.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0381486
11921419
25001419

prune224.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

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)

rewrite43.0ms

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×prod-exp cbrt-unprod associate-/l*
3×associate-*r/ associate-*l* unswap-sqr
2×frac-2neg clear-num associate-/r/
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip--
Counts
4 → 170
Calls
4 calls:
6.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
19.0ms
(* 4.5 (/ t (/ a z)))
5.0ms
(/ t (/ a z))
3.0ms
(/ (* x y) a)

series175.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
26.0ms
(* 4.5 (/ t (/ a z)))
21.0ms
(/ t (/ a z))
19.0ms
(/ (* x y) a)

simplify86.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07191082
136131011
250011011

prune482.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes526.0ms

Accuracy

87.1% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 8.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04529
14529

end0.0ms

sample717.0ms

Algorithm
intervals
Results
372.0ms11222×body80valid