Details

Time bar (total: 16.1s)

sample51.0ms

Algorithm
intervals
Results
20.0ms338×body80valid

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
done5001
104996
91057
8401
7189
6164
5133
496
357
231
114
08

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
7.4b
(* (/ x y) (- z t))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
5×associate-*r*
4×distribute-rgt-in pow1 associate-+l+ sub-neg distribute-lft-in add-log-exp
2×frac-times flip3-- prod-exp associate-*r/ cbrt-unprod flip-- unswap-sqr
1×cbrt-undiv +-commutative sum-log flip3-+ div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
12.0ms
(+ (* (/ x y) (- z t)) t)
23.0ms
(* (/ x y) (- z t))

series141.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(+ (* (/ x y) (- z t)) t)
81.0ms
(* (/ x y) (- z t))

simplify734.0ms

Counts
63 → 63
Iterations
IterNodes
done5000
21389
1328
0122

prune308.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
2.6b
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
5.0b
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite343.0ms

Algorithm
rewrite-expression-head
Rules
136×cbrt-div
98×frac-times
68×flip3-- flip--
50×associate-*r/
37×associate-*l/
34×add-exp-log
24×add-sqr-sqrt
21×*-un-lft-identity add-cbrt-cube
18×pow1
17×prod-exp cbrt-unprod
15×cbrt-prod add-cube-cbrt
14×associate-*l*
10×times-frac
9×associate-*r* pow-prod-down
4×cbrt-undiv div-exp add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 164
Calls
4 calls:
6.0ms
(cbrt (- z t))
7.0ms
(cbrt (- z t))
241.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
71.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series692.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(cbrt (- z t))
225.0ms
(cbrt (- z t))
78.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
184.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify1.4s

Counts
176 → 176
Iterations
IterNodes
done5000
22926
1816
0296

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z (/ y x)) (/ t (/ y x)))
0.0b
(+ (- (/ z (/ y x)) (/ t (/ y x))) t)
5.5b
(/ t (/ y x))
5.6b
(/ z (/ y x))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
212×times-frac
138×add-sqr-sqrt
135×*-un-lft-identity
102×add-cube-cbrt
26×associate-/r*
15×distribute-lft-out--
14×add-cbrt-cube add-exp-log div-inv
11×add-log-exp
9×difference-of-squares
6×cbrt-undiv div-exp associate-/l*
4×pow1 associate-/r/
2×associate-+l+ clear-num sum-log sub-neg frac-2neg distribute-rgt-out-- diff-log distribute-lft-out
1×+-commutative flip3-+ flip3-- frac-sub associate-+l- flip-+ flip-- sub-div
Counts
4 → 196
Calls
4 calls:
195.0ms
(- (/ z (/ y x)) (/ t (/ y x)))
900.0ms
(+ (- (/ z (/ y x)) (/ t (/ y x))) t)
13.0ms
(/ t (/ y x))
14.0ms
(/ z (/ y x))

series175.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- (/ z (/ y x)) (/ t (/ y x)))
65.0ms
(+ (- (/ z (/ y x)) (/ t (/ y x))) t)
29.0ms
(/ t (/ y x))
23.0ms
(/ z (/ y x))

simplify1.4s

Counts
208 → 208
Iterations
IterNodes
done5000
23775
1856
0323

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ z y) x) (/ t (/ y x)))
0.0b
(+ (- (* (/ z y) x) (/ t (/ y x))) t)
5.5b
(/ t (/ y x))
7.3b
(* (/ z y) x)

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
85×times-frac
59×add-sqr-sqrt
56×*-un-lft-identity
54×add-cube-cbrt
14×add-cbrt-cube add-exp-log
13×associate-/r* associate-*l*
11×add-log-exp
6×pow1 div-inv
4×cbrt-undiv div-exp
3×associate-*r* associate-/l*
2×associate-+l+ sum-log sub-neg diff-log associate-*l/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×+-commutative clear-num frac-2neg flip3-+ flip3-- distribute-rgt-out-- pow-prod-down *-commutative frac-sub associate-+l- flip-+ flip-- distribute-lft-out
Counts
4 → 132
Calls
4 calls:
17.0ms
(- (* (/ z y) x) (/ t (/ y x)))
151.0ms
(+ (- (* (/ z y) x) (/ t (/ y x))) t)
7.0ms
(/ t (/ y x))
11.0ms
(* (/ z y) x)

series171.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- (* (/ z y) x) (/ t (/ y x)))
50.0ms
(+ (- (* (/ z y) x) (/ t (/ y x))) t)
23.0ms
(/ t (/ y x))
36.0ms
(* (/ z y) x)

simplify1.3s

Counts
144 → 144
Iterations
IterNodes
done5000
23152
1651
0252

prune798.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes383.0ms

Accuracy

18.2% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.1b

bsearch61.0ms

Steps
ItersRangePoint
9
1.1702112566706674e+30
2.212405691648853e+37
1.1851866175329048e+30

simplify3.0ms

Iterations
IterNodes
done24
224
123
018

end0.0ms

sample1.3s

Algorithm
intervals
Results
588.0ms10668×body80valid