Details

Time bar (total: 7.8s)

sample42.0ms

Algorithm
intervals
Results
16.0ms337×body80valid

simplify70.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.3b

localize30.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.3b
(- (* x y) (* (* z 9.0) t))
9.6b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite85.0ms

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:
32.0ms
(* (* z 9.0) t)
15.0ms
(- (* x y) (* (* z 9.0) t))
35.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series194.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(* (* z 9.0) t)
74.0ms
(- (* x y) (* (* z 9.0) t))
101.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify44.0ms

Counts
63 → 63

prune206.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.8b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ 1.0 2.0) (/ (* x y) a)) (* (/ 9.0 2.0) (/ (* t z) a)))
0.2b
(* (/ 9.0 2.0) (/ (* t z) a))
5.5b
(/ (* t z) a)
6.5b
(/ (* x y) a)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log add-cbrt-cube
22×add-sqr-sqrt
19×times-frac
17×add-cube-cbrt *-un-lft-identity
13×associate-*l*
11×cbrt-undiv div-exp
10×prod-exp cbrt-unprod
9×frac-times associate-*r/ associate-*l/ frac-sub
7×associate-*r*
6×pow1 associate-/r* add-log-exp
4×div-inv
3×sub-div
2×frac-2neg clear-num associate-/l* unswap-sqr
1×sub-neg flip3-- diff-log pow-prod-down *-commutative flip--
Counts
4 → 112
Calls
4 calls:
22.0ms
(- (* (/ 1.0 2.0) (/ (* x y) a)) (* (/ 9.0 2.0) (/ (* t z) a)))
28.0ms
(* (/ 9.0 2.0) (/ (* t z) a))
17.0ms
(/ (* t z) a)
12.0ms
(/ (* x y) a)

series312.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(- (* (/ 1.0 2.0) (/ (* x y) a)) (* (/ 9.0 2.0) (/ (* t z) a)))
51.0ms
(* (/ 9.0 2.0) (/ (* t z) a))
36.0ms
(/ (* t z) a)
44.0ms
(/ (* x y) a)

simplify83.0ms

Counts
124 → 124

prune498.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ 1.0 2.0) (/ x (/ a y))) (* (/ 9.0 2.0) (/ (* t z) a)))
0.2b
(* (/ 9.0 2.0) (/ (* t z) a))
4.6b
(/ x (/ a y))
5.5b
(/ (* t z) a)

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
91×times-frac
62×add-sqr-sqrt
57×add-cube-cbrt *-un-lft-identity
35×add-exp-log add-cbrt-cube
16×associate-/r*
13×associate-*l*
12×cbrt-undiv div-exp
9×associate-*l/ prod-exp frac-sub cbrt-unprod
8×div-inv
7×frac-times associate-*r/ associate-*r*
6×pow1 add-log-exp
4×associate-/l*
2×frac-2neg clear-num unswap-sqr
1×sub-neg flip3-- diff-log pow-prod-down associate-/r/ *-commutative flip-- sub-div
Counts
4 → 159
Calls
4 calls:
23.0ms
(- (* (/ 1.0 2.0) (/ x (/ a y))) (* (/ 9.0 2.0) (/ (* t z) a)))
29.0ms
(* (/ 9.0 2.0) (/ (* t z) a))
12.0ms
(/ x (/ a y))
11.0ms
(/ (* t z) a)

series173.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(- (* (/ 1.0 2.0) (/ x (/ a y))) (* (/ 9.0 2.0) (/ (* t z) a)))
34.0ms
(* (/ 9.0 2.0) (/ (* t z) a))
23.0ms
(/ x (/ a y))
26.0ms
(/ (* t z) a)

simplify93.0ms

Counts
171 → 171

prune695.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
3.4b
(* (* (/ 9.0 2.0) (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
4.6b
(/ x (/ a y))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
93×times-frac
74×add-exp-log
61×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
59×add-cbrt-cube
30×prod-exp cbrt-unprod
24×cbrt-undiv div-exp
22×associate-*r*
15×cbrt-prod
13×associate-/r*
9×pow1
6×div-inv
5×frac-times associate-*l/
4×add-log-exp
3×associate-*r/ pow-prod-down associate-/l*
2×pow1/3
1×frac-2neg associate-*l* clear-num associate-/r/ *-commutative
Counts
4 → 160
Calls
4 calls:
2.0ms
(cbrt a)
2.0ms
(cbrt a)
183.0ms
(* (* (/ 9.0 2.0) (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
9.0ms
(/ x (/ a y))

series607.0ms

Counts
4 → 12
Calls
4 calls:
259.0ms
(cbrt a)
233.0ms
(cbrt a)
86.0ms
(* (* (/ 9.0 2.0) (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
28.0ms
(/ x (/ a y))

simplify112.0ms

Counts
172 → 172

prune844.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes476.0ms

Accuracy

25% (6.0b remaining)

Error of 6.0b against oracle of 0.0b and baseline of 8.0b

bsearch462.0ms

Steps
ItersRangePoint
8
8.241903478382293e+104
1.1454728851377046e+109
8.760394845593749e+105
8
1.3952802945510084e-228
7.311081186568777e-224
2.1071131039275873e-227
10
-3.621551480846789e-264
-1.2791811457187248e-276
-1.205276844410741e-273
10
-5.051236774021027e-142
-3.5877351750007996e-160
-5.447225618720537e-151
5
-4.218959888062966e-11
-1.1532918522027522e-11
-3.964589955066153e-11

simplify207.0ms

end0.0ms

sample2.1s

Algorithm
intervals
Results
754.0ms11067×body80valid