Details

Time bar (total: 4.2s)

sample37.0ms

Algorithm
intervals
Results
21.0ms345×body80valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0266
1896
22776
37356
414366
517146
617306
717306

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
9.4b
(/ (- (* 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-*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:
2.0ms
(- (* x y) (* (* z 9.0) t))
7.0ms
(* (* z 9.0) t)
9.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series139.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- (* x y) (* (* z 9.0) t))
17.0ms
(* (* z 9.0) t)
67.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0326399
11408341
25002341

prune164.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.5b

localize10.0ms

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))
5.7b
(/ (* x y) a)
7.2b
(/ (* t z) 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/
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)

series178.0ms

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))
20.0ms
(/ (* x y) a)
22.0ms
(/ (* t z) a)

simplify53.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0381486
11921419
25001419

prune233.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
0.0b
(- (* 0.5 (/ (* x y) a)) (* (* t 4.5) (/ z a)))
4.6b
(* (* t 4.5) (/ z a))
5.7b
(/ (* x y) a)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
20×associate-*r*
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
15×times-frac
11×pow1 prod-exp cbrt-unprod
6×cbrt-undiv associate-*r/ div-exp add-log-exp
4×associate-*l* pow-prod-down
3×associate-/r* div-inv
2×*-commutative
1×sub-neg flip3-- frac-2neg diff-log clear-num frac-sub flip-- associate-/l* sub-div unswap-sqr
Counts
4 → 95
Calls
4 calls:
8.0ms
(* 0.5 (/ (* x y) a))
7.0ms
(- (* 0.5 (/ (* x y) a)) (* (* t 4.5) (/ z a)))
10.0ms
(* (* t 4.5) (/ z a))
3.0ms
(/ (* x y) a)

series189.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 0.5 (/ (* x y) a))
109.0ms
(- (* 0.5 (/ (* x y) a)) (* (* t 4.5) (/ z a)))
32.0ms
(* (* t 4.5) (/ z a))
20.0ms
(/ (* x y) a)

simplify69.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0490572
12600492
25001492

prune251.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
3.8b
(* (* 0.5 (/ x (* (cbrt a) (cbrt a)))) (/ y (cbrt a)))
4.6b
(* (* t 4.5) (/ z a))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
40×add-cbrt-cube
35×associate-*r*
27×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
22×prod-exp cbrt-unprod
15×cbrt-prod
14×pow1
10×cbrt-undiv div-exp
6×pow-prod-down
4×associate-*r/ add-log-exp
2×pow1/3 associate-*l* *-commutative div-inv
1×frac-times associate-*l/
Counts
4 → 107
Calls
4 calls:
0.0ms
(cbrt a)
1.0ms
(cbrt a)
48.0ms
(* (* 0.5 (/ x (* (cbrt a) (cbrt a)))) (/ y (cbrt a)))
11.0ms
(* (* t 4.5) (/ z a))

series444.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt a)
171.0ms
(cbrt a)
61.0ms
(* (* 0.5 (/ x (* (cbrt a) (cbrt a)))) (/ y (cbrt a)))
28.0ms
(* (* t 4.5) (/ z a))

simplify96.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
0666851
13751635
25002610

prune329.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes652.0ms

Accuracy

78.3% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 7.6b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04322
14322

end0.0ms

sample1.1s

Algorithm
intervals
Results
720.0ms11126×body80valid