Details

Time bar (total: 29.4s)

sample69.0ms

Algorithm
intervals
Results
27.0ms382×body80valid

simplify8.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
12713
29013
328913
477713
5168213
6227913
7244013
8245213
done245213

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize30.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.3b
(- (* x y) (* (* z 9.0) t))
7.7b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite98.0ms

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:
33.0ms
(* (* z 9.0) t)
14.0ms
(- (* x y) (* (* z 9.0) t))
48.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series238.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* (* z 9.0) t)
85.0ms
(- (* x y) (* (* z 9.0) t))
118.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.7s

Counts
71 → 71
Iterations

Useful iterations: 2 (305.0ms)

IterNodesCost
0127944
1352906
21799787
done5000787

prune529.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.9b

localize32.0ms

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)
6.1b
(/ (* t z) a)

rewrite116.0ms

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:
33.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
36.0ms
(* 4.5 (/ (* t z) a))
24.0ms
(/ (* x y) a)
18.0ms
(/ (* t z) a)

series303.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
45.0ms
(* 4.5 (/ (* t z) a))
36.0ms
(/ (* x y) a)
32.0ms
(/ (* t z) a)

simplify1.6s

Counts
105 → 105
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01571165
14331114
22269995
done5000979

prune797.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.7b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
0.0b
(- (* 0.5 (/ (* x y) a)) (* (* 4.5 t) (/ z a)))
4.6b
(/ (* x y) a)
5.4b
(* (* 4.5 t) (/ z a))

rewrite152.0ms

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×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u
3×associate-/r* div-inv
2×*-commutative
1×sub-neg flip3-- frac-2neg fma-neg diff-log prod-diff clear-num frac-sub flip-- associate-/l* sub-div unswap-sqr
Counts
4 → 105
Calls
4 calls:
33.0ms
(* 0.5 (/ (* x y) a))
36.0ms
(- (* 0.5 (/ (* x y) a)) (* (* 4.5 t) (/ z a)))
20.0ms
(/ (* x y) a)
57.0ms
(* (* 4.5 t) (/ z a))

series317.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* 0.5 (/ (* x y) a))
187.0ms
(- (* 0.5 (/ (* x y) a)) (* (* 4.5 t) (/ z a)))
32.0ms
(/ (* x y) a)
46.0ms
(* (* 4.5 t) (/ z a))

simplify3.2s

Counts
117 → 117
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01871364
15441288
235041131
done50001121

prune953.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
4.2b
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
5.4b
(* (* 4.5 t) (/ z a))

rewrite618.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
37×add-exp-log times-frac
35×associate-*r*
30×add-cbrt-cube
28×add-cube-cbrt *-un-lft-identity
17×cbrt-prod
14×prod-exp cbrt-unprod
11×pow1
9×cbrt-undiv div-exp
8×associate-*l*
6×unswap-sqr
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 associate-*r/ *-commutative
1×frac-times associate-*l/
Counts
4 → 122
Calls
4 calls:
2.0ms
(cbrt a)
2.0ms
(cbrt a)
558.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
47.0ms
(* (* 4.5 t) (/ z a))

series911.0ms

Counts
4 → 12
Calls
4 calls:
385.0ms
(cbrt a)
375.0ms
(cbrt a)
98.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
52.0ms
(* (* 4.5 t) (/ z a))

simplify3.7s

Counts
134 → 134
Iterations

Useful iterations: 2 (973.0ms)

IterNodesCost
02181583
16841519
246601161
done50011161

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes2.2s

Accuracy

80.4% (1.5b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 7.7b

bsearch3.0ms

simplify10.0ms

Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
03069
14455
done4455

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s11277×body80valid