Details

Time bar (total: 13.8s)

sample37.0ms

Algorithm
intervals
Results
16.0ms317×body80valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5000
82495
7794
6297
5129
479
348
228
114
08

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* (/ z t) (- x y)))
6.8b
(* (/ z t) (- x y))

rewrite48.0ms

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×sub-neg associate-*r*
4×distribute-rgt-in pow1 distribute-lft-in associate--r+ add-log-exp
3×flip3-- flip--
2×frac-times prod-exp associate-*r/ cbrt-unprod unswap-sqr
1×cbrt-undiv diff-log div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 58
Calls
2 calls:
7.0ms
(- x (* (/ z t) (- x y)))
34.0ms
(* (/ z t) (- x y))

series135.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(- x (* (/ z t) (- x y)))
77.0ms
(* (/ z t) (- x y))

simplify702.0ms

Counts
64 → 64
Iterations
IterNodes
done5000
21405
1317
0121

prune340.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
1.3b
(* (* (cbrt (- x y)) (* (cbrt (- x y)) (/ z t))) (cbrt (- x y)))
2.4b
(* (cbrt (- x y)) (/ z t))
3.4b
(* (cbrt (- x y)) (* (cbrt (- x y)) (/ z t)))

rewrite252.0ms

Algorithm
rewrite-expression-head
Rules
138×cbrt-div
100×frac-times
69×flip3-- flip--
51×associate-*l/
36×add-sqr-sqrt
35×associate-*r/
32×add-exp-log
26×*-un-lft-identity
22×cbrt-prod associate-*r*
20×pow1
18×add-cube-cbrt
17×associate-*l*
16×add-cbrt-cube prod-exp cbrt-unprod
11×times-frac
10×pow-prod-down
4×distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
3×cbrt-undiv div-exp *-commutative
1×pow1/3 div-inv
Counts
4 → 181
Calls
4 calls:
3.0ms
(cbrt (- x y))
155.0ms
(* (* (cbrt (- x y)) (* (cbrt (- x y)) (/ z t))) (cbrt (- x y)))
26.0ms
(* (cbrt (- x y)) (/ z t))
59.0ms
(* (cbrt (- x y)) (* (cbrt (- x y)) (/ z t)))

series584.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt (- x y))
48.0ms
(* (* (cbrt (- x y)) (* (cbrt (- x y)) (/ z t))) (cbrt (- x y)))
201.0ms
(* (cbrt (- x y)) (/ z t))
145.0ms
(* (cbrt (- x y)) (* (cbrt (- x y)) (/ z t)))

simplify1.7s

Counts
193 → 193
Iterations
IterNodes
done5000
24416
1887
0324

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.6b
(* (cbrt (- x y)) (cbrt (- x y)))
1.3b
(* (* (* (cbrt (- x y)) (cbrt (- x y))) (/ z t)) (cbrt (- x y)))
5.7b
(* (* (cbrt (- x y)) (cbrt (- x y))) (/ z t))

rewrite302.0ms

Algorithm
rewrite-expression-head
Rules
146×cbrt-div
102×frac-times
73×flip3-- flip--
67×associate-*l/
45×add-sqr-sqrt
40×*-un-lft-identity
38×cbrt-prod
36×add-exp-log
29×associate-*r*
25×pow1
24×associate-*r/
22×add-cube-cbrt
21×add-cbrt-cube
18×prod-exp cbrt-unprod
11×pow-prod-down
10×times-frac swap-sqr associate-*l*
8×distribute-lft-out--
7×pow1/3
6×difference-of-squares unswap-sqr
4×cbrt-undiv div-exp add-log-exp
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus div-inv
Counts
4 → 205
Calls
4 calls:
5.0ms
(cbrt (- x y))
38.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
192.0ms
(* (* (* (cbrt (- x y)) (cbrt (- x y))) (/ z t)) (cbrt (- x y)))
50.0ms
(* (* (cbrt (- x y)) (cbrt (- x y))) (/ z t))

series608.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(cbrt (- x y))
143.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
55.0ms
(* (* (* (cbrt (- x y)) (cbrt (- x y))) (/ z t)) (cbrt (- x y)))
207.0ms
(* (* (cbrt (- x y)) (cbrt (- x y))) (/ z t))

simplify571.0ms

Counts
217 → 217
Iterations
IterNodes
done5000
1959
0336

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize104.0ms

Local error

Found 4 expressions with local error:

4.5b
(* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- x y)) (/ z t)))
6.7b
(cbrt (* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- x y)) (/ z t))))
6.7b
(cbrt (* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- x y)) (/ z t))))
6.7b
(cbrt (* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- x y)) (/ z t))))

rewrite378.0ms

Algorithm
rewrite-expression-head
Rules
591×cbrt-div
328×frac-times
216×flip3-- flip--
152×associate-*l/
104×associate-*r/
25×add-exp-log
16×pow1
15×add-cbrt-cube
13×prod-exp cbrt-unprod
8×pow-prod-down
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
3×cbrt-prod pow1/3
2×cbrt-undiv div-exp
1×associate-*r* associate-*l* *-commutative
Counts
4 → 265
Calls
4 calls:
105.0ms
(* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- x y)) (/ z t)))
85.0ms
(cbrt (* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- x y)) (/ z t))))
82.0ms
(cbrt (* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- x y)) (/ z t))))
76.0ms
(cbrt (* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- x y)) (/ z t))))

series620.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- x y)) (/ z t)))
185.0ms
(cbrt (* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- x y)) (/ z t))))
195.0ms
(cbrt (* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- x y)) (/ z t))))
194.0ms
(cbrt (* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- x y)) (/ z t))))

simplify706.0ms

Counts
277 → 277
Iterations
IterNodes
done5000
21996
1775
0317

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes357.0ms

Accuracy

19.8% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.0b

bsearch73.0ms

Steps
ItersRangePoint
7
1.5292588614899193e+83
2.8076592406640618e+85
1.5650533979108818e+83
8
-1.207962284467351e-36
-5.352215755330405e-41
-9.321316198184015e-37

simplify4.0ms

Iterations
IterNodes
done34
234
133
026

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s10608×body80valid