Details

Time bar (total: 17.5s)

sample43.0ms

Algorithm
intervals
Results
18.0ms317×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5000
93982
81054
7411
6217
5160
499
358
225
114
08

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:
5.0ms
(- x (* (/ z t) (- x y)))
33.0ms
(* (/ z t) (- x y))

series140.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(- x (* (/ z t) (- x y)))
76.0ms
(* (/ z t) (- x y))

simplify812.0ms

Counts
64 → 64
Iterations
IterNodes
done5000
21405
1317
0121

prune412.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

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)))

rewrite300.0ms

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:
6.0ms
(cbrt (- x y))
181.0ms
(* (* (cbrt (- x y)) (* (cbrt (- x y)) (/ z t))) (cbrt (- x y)))
30.0ms
(* (cbrt (- x y)) (/ z t))
63.0ms
(* (cbrt (- x y)) (* (cbrt (- x y)) (/ z t)))

series859.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(cbrt (- x y))
79.0ms
(* (* (cbrt (- x y)) (* (cbrt (- x y)) (/ z t))) (cbrt (- x y)))
320.0ms
(* (cbrt (- x y)) (/ z t))
231.0ms
(* (cbrt (- x y)) (* (cbrt (- x y)) (/ z t)))

simplify2.4s

Counts
193 → 193
Iterations
IterNodes
done5000
24416
1887
0324

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize46.0ms

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))

rewrite412.0ms

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:
6.0ms
(cbrt (- x y))
57.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
246.0ms
(* (* (* (cbrt (- x y)) (cbrt (- x y))) (/ z t)) (cbrt (- x y)))
83.0ms
(* (* (cbrt (- x y)) (cbrt (- x y))) (/ z t))

series697.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(cbrt (- x y))
183.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
54.0ms
(* (* (* (cbrt (- x y)) (cbrt (- x y))) (/ z t)) (cbrt (- x y)))
227.0ms
(* (* (cbrt (- x y)) (cbrt (- x y))) (/ z t))

simplify622.0ms

Counts
217 → 217
Iterations
IterNodes
done5000
1959
0336

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize111.0ms

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))))

rewrite436.0ms

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:
94.0ms
(* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- x y)) (/ z t)))
95.0ms
(cbrt (* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- x y)) (/ z t))))
121.0ms
(cbrt (* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- x y)) (/ z t))))
75.0ms
(cbrt (* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- x y)) (/ z t))))

series769.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- x y)) (/ z t)))
230.0ms
(cbrt (* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- x y)) (/ z t))))
234.0ms
(cbrt (* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- x y)) (/ z t))))
253.0ms
(cbrt (* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- x y)) (/ z t))))

simplify840.0ms

Counts
277 → 277
Iterations
IterNodes
done5000
21996
1775
0317

prune1.8s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes671.0ms

Accuracy

19.8% (1.6b remaining)

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

bsearch99.0ms

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

sample1.1s

Algorithm
intervals
Results
578.0ms10608×body80valid