Details

Time bar (total: 21.0s)

sample36.0ms

Algorithm
intervals
Results
13.0ms347×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5000
102661
9873
8449
7284
6206
5148
489
346
226
115
09

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* (/ y a) (- t z)))
6.9b
(* (/ y a) (- t z))

rewrite55.0ms

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:
9.0ms
(- x (* (/ y a) (- t z)))
43.0ms
(* (/ y a) (- t z))

series145.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(- x (* (/ y a) (- t z)))
91.0ms
(* (/ y a) (- t z))

simplify884.0ms

Counts
64 → 64
Iterations
IterNodes
done5001
21424
1323
0124

prune422.0ms

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 (- t z))
1.4b
(* (* (* (cbrt (- t z)) (/ y a)) (cbrt (- t z))) (cbrt (- t z)))
2.4b
(* (* (cbrt (- t z)) (/ y a)) (cbrt (- t z)))
3.4b
(* (cbrt (- t z)) (/ y a))

rewrite385.0ms

Algorithm
rewrite-expression-head
Rules
138×cbrt-div
100×frac-times
69×flip3-- flip--
63×associate-*l/
36×add-sqr-sqrt
32×add-exp-log
29×associate-*r*
26×*-un-lft-identity
23×associate-*r/
22×cbrt-prod
20×pow1
18×add-cube-cbrt
16×add-cbrt-cube prod-exp cbrt-unprod
11×times-frac
10×associate-*l* 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 (- t z))
251.0ms
(* (* (* (cbrt (- t z)) (/ y a)) (cbrt (- t z))) (cbrt (- t z)))
87.0ms
(* (* (cbrt (- t z)) (/ y a)) (cbrt (- t z)))
28.0ms
(* (cbrt (- t z)) (/ y a))

series734.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(cbrt (- t z))
84.0ms
(* (* (* (cbrt (- t z)) (/ y a)) (cbrt (- t z))) (cbrt (- t z)))
171.0ms
(* (* (cbrt (- t z)) (/ y a)) (cbrt (- t z)))
278.0ms
(* (cbrt (- t z)) (/ y a))

simplify494.0ms

Counts
193 → 193
Iterations
IterNodes
done5001
1915
0327

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt (- t z)) (cbrt (- t z))))
1.4b
(* (* (* (cbrt (- t z)) (/ y a)) (cbrt (- t z))) (* (cbrt (* (cbrt (- t z)) (cbrt (- t z)))) (cbrt (cbrt (- t z)))))
2.4b
(* (* (cbrt (- t z)) (/ y a)) (cbrt (- t z)))
3.4b
(* (cbrt (- t z)) (/ y a))

rewrite609.0ms

Algorithm
rewrite-expression-head
Rules
2424×cbrt-div
1400×frac-times
830×flip3-- flip--
581×associate-*l/
313×associate-*r/
50×add-exp-log
32×pow1
29×add-sqr-sqrt prod-exp cbrt-unprod
25×add-cbrt-cube
22×associate-*r*
19×*-un-lft-identity pow-prod-down
15×add-cube-cbrt
13×cbrt-prod
11×times-frac
10×associate-*l*
4×cbrt-undiv div-exp add-log-exp unswap-sqr
3×*-commutative
2×distribute-lft-out-- difference-of-squares
1×pow1/3 div-inv
Counts
4 → 619
Calls
4 calls:
18.0ms
(cbrt (* (cbrt (- t z)) (cbrt (- t z))))
362.0ms
(* (* (* (cbrt (- t z)) (/ y a)) (cbrt (- t z))) (* (cbrt (* (cbrt (- t z)) (cbrt (- t z)))) (cbrt (cbrt (- t z)))))
55.0ms
(* (* (cbrt (- t z)) (/ y a)) (cbrt (- t z)))
30.0ms
(* (cbrt (- t z)) (/ y a))

series760.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt (* (cbrt (- t z)) (cbrt (- t z))))
90.0ms
(* (* (* (cbrt (- t z)) (/ y a)) (cbrt (- t z))) (* (cbrt (* (cbrt (- t z)) (cbrt (- t z)))) (cbrt (cbrt (- t z)))))
201.0ms
(* (* (cbrt (- t z)) (/ y a)) (cbrt (- t z)))
289.0ms
(* (cbrt (- t z)) (/ y a))

simplify1.8s

Counts
631 → 631
Iterations
IterNodes
done5001
14042
01098

prune5.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (- (/ t (/ a y)) (/ z (/ a y))))
0.0b
(- (/ t (/ a y)) (/ z (/ a y)))
4.0b
(/ z (/ a y))
5.6b
(/ t (/ a y))

rewrite596.0ms

Algorithm
rewrite-expression-head
Rules
212×times-frac
140×add-sqr-sqrt
135×*-un-lft-identity
102×add-cube-cbrt
26×associate-/r*
17×distribute-lft-out--
14×add-cbrt-cube add-exp-log div-inv
11×add-log-exp
10×difference-of-squares
6×cbrt-undiv div-exp associate-/l*
4×pow1 diff-log associate-/r/
3×sub-neg
2×clear-num frac-2neg flip3-- distribute-rgt-out-- flip-- associate--r+
1×frac-sub sub-div associate--r-
Counts
4 → 198
Calls
4 calls:
393.0ms
(- x (- (/ t (/ a y)) (/ z (/ a y))))
163.0ms
(- (/ t (/ a y)) (/ z (/ a y)))
14.0ms
(/ z (/ a y))
14.0ms
(/ t (/ a y))

series214.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- x (- (/ t (/ a y)) (/ z (/ a y))))
73.0ms
(- (/ t (/ a y)) (/ z (/ a y)))
29.0ms
(/ z (/ a y))
25.0ms
(/ t (/ a y))

simplify1.4s

Counts
210 → 210
Iterations
IterNodes
done5001
23591
1845
0327

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes594.0ms

Accuracy

51.4% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.7b

bsearch87.0ms

Steps
ItersRangePoint
8
7.088116159699808e+40
1.951333632833995e+45
1.1441004867780468e+43
5
-3.6921825546108825e-56
-1.3639945902168682e-56
-3.645255194916716e-56

simplify9.0ms

Iterations
IterNodes
done35
235
134
028

end0.0ms

sample1.3s

Algorithm
intervals
Results
628.0ms10647×body80valid