Details

Time bar (total: 4.0s)

sample36.0ms

Algorithm
intervals
Results
16.0ms358×body80valid

simplify5.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
6.1b
(/ (- (* x y) (* z t)) a)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 42
Calls
2 calls:
9.0ms
(- (* x y) (* z t))
22.0ms
(/ (- (* x y) (* z t)) a)

series109.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- (* x y) (* z t))
65.0ms
(/ (- (* x y) (* z t)) a)

simplify80.0ms

Counts
48 → 48

prune143.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
3.6b
(/ (* x y) a)
5.0b
(/ (* t z) a)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
9×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×times-frac associate-/r*
5×add-log-exp
4×cbrt-undiv div-exp div-inv
3×pow1
2×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
1×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 59
Calls
3 calls:
26.0ms
(- (/ (* x y) a) (/ (* t z) a))
11.0ms
(/ (* x y) a)
11.0ms
(/ (* t z) a)

series121.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(- (/ (* x y) a) (/ (* t z) a))
21.0ms
(/ (* x y) a)
23.0ms
(/ (* t z) a)

simplify36.0ms

Counts
68 → 68

prune168.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (/ a y)) (/ (* t z) a))
3.3b
(/ x (/ a y))
5.0b
(/ (* t z) a)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
56×add-sqr-sqrt
49×*-un-lft-identity
47×add-cube-cbrt
16×associate-/r*
13×add-exp-log add-cbrt-cube
6×div-inv
5×cbrt-undiv div-exp add-log-exp
4×associate-/l*
3×pow1 difference-of-squares
2×frac-2neg clear-num
1×sub-neg flip3-- diff-log prod-exp associate-/r/ frac-sub flip-- cbrt-unprod distribute-lft-out--
Counts
3 → 108
Calls
3 calls:
61.0ms
(- (/ x (/ a y)) (/ (* t z) a))
9.0ms
(/ x (/ a y))
11.0ms
(/ (* t z) a)

series107.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(- (/ x (/ a y)) (/ (* t z) a))
26.0ms
(/ x (/ a y))
22.0ms
(/ (* t z) a)

simplify52.0ms

Counts
117 → 117

prune321.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
3.3b
(/ x (/ a y))
4.2b
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
103×times-frac
79×add-sqr-sqrt
63×add-cube-cbrt *-un-lft-identity
30×add-exp-log
23×add-cbrt-cube
22×associate-*r*
17×cbrt-prod
13×associate-/r*
10×cbrt-undiv div-exp
8×prod-exp cbrt-unprod
7×associate-*l* div-inv
6×pow1 unswap-sqr
4×add-log-exp
3×associate-/l*
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r/ *-commutative
Counts
4 → 151
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
9.0ms
(/ x (/ a y))
53.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))

series474.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt a)
195.0ms
(cbrt a)
23.0ms
(/ x (/ a y))
57.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))

simplify82.0ms

Counts
163 → 163

prune486.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes398.0ms

Accuracy

37.4% (4.7b remaining)

Error of 4.8b against oracle of 0.0b and baseline of 7.6b

bsearch90.0ms

Steps
ItersRangePoint
9
2.4348116514958283e-52
5.573175902686692e-47
2.0400753527695084e-47
8
-1.1858716413504363e+205
-1.833753074916076e+200
-3.153710049135351e+201

simplify1.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
488.0ms11318×body80valid