Details

Time bar (total: 15.3s)

sample115.0ms

Algorithm
intervals
Results
62.0ms434×body80valid

simplify2.1s

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.7b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
0.2b
(* (* x 9.0) y)
4.1b
(* (* (* z 4.0) t) a)
20.1b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite395.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
12×*-un-lft-identity
10×prod-exp cbrt-unprod
9×pow-prod-down
8×add-sqr-sqrt add-cube-cbrt
6×associate-*r* add-log-exp
4×times-frac associate-/l*
2×cbrt-undiv div-exp associate-*l* *-commutative associate-/l/ distribute-lft-out
1×associate-+l- sub-neg flip3-- frac-2neg flip3-+ diff-log div-sub clear-num associate-/r* flip-- flip-+ div-inv
Counts
4 → 77
Calls
4 calls:
23.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
21.0ms
(* (* x 9.0) y)
59.0ms
(* (* (* z 4.0) t) a)
287.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series452.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
22.0ms
(* (* x 9.0) y)
43.0ms
(* (* (* z 4.0) t) a)
289.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify1.0s

Counts
89 → 89

prune293.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 9.0 (/ (* x y) (* z c)))
6.1b
(/ b (* z c))
9.0b
(/ (* a t) c)
10.7b
(/ (* x y) (* z c))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-undiv add-sqr-sqrt div-exp
10×add-cube-cbrt *-un-lft-identity
8×times-frac
6×pow1
5×associate-*r* associate-/r* associate-/l*
4×div-inv add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
28.0ms
(* 9.0 (/ (* x y) (* z c)))
8.0ms
(/ b (* z c))
11.0ms
(/ (* a t) c)
20.0ms
(/ (* x y) (* z c))

series172.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* 9.0 (/ (* x y) (* z c)))
34.0ms
(/ b (* z c))
32.0ms
(/ (* a t) c)
43.0ms
(/ (* x y) (* z c))

simplify770.0ms

Counts
104 → 104

prune419.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt c)
4.4b
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
6.1b
(/ b (* z c))
10.7b
(/ (* x y) (* z c))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log
38×add-sqr-sqrt
35×add-cbrt-cube
32×times-frac
22×add-cube-cbrt *-un-lft-identity associate-*r*
14×cbrt-prod
13×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×div-inv associate-/l* add-log-exp
2×frac-2neg clear-num associate-/r*
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 112
Calls
4 calls:
1.0ms
(cbrt c)
58.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
15.0ms
(/ b (* z c))
14.0ms
(/ (* x y) (* z c))

series438.0ms

Counts
4 → 12
Calls
4 calls:
284.0ms
(cbrt c)
72.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
32.0ms
(/ b (* z c))
50.0ms
(/ (* x y) (* z c))

simplify1.0s

Counts
124 → 124

prune616.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

localize38.0ms

Local error

Found 4 expressions with local error:

4.4b
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
5.5b
(/ (* z c) y)
6.1b
(/ b (* z c))
6.7b
(/ x (/ (* z c) y))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
67×times-frac
55×add-sqr-sqrt
44×add-exp-log
39×add-cube-cbrt *-un-lft-identity
37×add-cbrt-cube
22×associate-*r*
16×cbrt-undiv div-exp
11×cbrt-prod prod-exp associate-/r* cbrt-unprod
9×div-inv
7×associate-*l* associate-/l*
6×pow1 unswap-sqr
4×add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ associate-/r/ *-commutative
Counts
4 → 149
Calls
4 calls:
73.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
15.0ms
(/ (* z c) y)
12.0ms
(/ b (* z c))
16.0ms
(/ x (/ (* z c) y))

series176.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
25.0ms
(/ (* z c) y)
25.0ms
(/ b (* z c))
57.0ms
(/ x (/ (* z c) y))

simplify1.2s

Counts
161 → 161

prune806.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

regimes1.2s

Accuracy

2.3% (9.3b remaining)

Error of 9.4b against oracle of 0.1b and baseline of 9.6b

bsearch283.0ms

Steps
ItersRangePoint
8
1.3572190085026964e-89
1.2908033205593882e-86
8.613546435620796e-89
7
1.6222379498261227e-289
4.762490981913817e-288
7.102196910018291e-289

simplify556.0ms

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.7s12952×body80valid