Details

Time bar (total: 12.6s)

sample43.0ms

Algorithm
intervals
Results
20.0ms308×body80valid

simplify54.0ms

Counts
1 → 1
Iterations
IterNodes
done54
754
651
548
442
335
229
116
010

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.6b
(* (/ x y) z)

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-/r* associate-*r* associate-*l/
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 79
Calls
3 calls:
14.0ms
(/ (+ x 4.0) y)
68.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
18.0ms
(* (/ x y) z)

series172.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (+ x 4.0) y)
81.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
40.0ms
(* (/ x y) z)

simplify1.5s

Counts
88 → 88
Iterations
IterNodes
done5000
21132
1351
0142

prune534.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 4.0 y) (- (/ x y) (* (/ x y) z)))
0.0b
(- (/ x y) (* (/ x y) z))
2.6b
(* (/ x y) z)

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
11×add-cube-cbrt
10×times-frac add-log-exp
8×add-cbrt-cube add-exp-log
5×pow1 associate-*l/
4×frac-add
3×associate-*r*
2×associate-+r+ sum-log sub-neg flip3-- diff-log prod-exp frac-sub cbrt-unprod flip-- sub-div unswap-sqr
1×cbrt-undiv +-commutative associate-+r- flip3-+ div-exp pow-prod-down *-commutative flip-+ div-inv distribute-lft-out
Counts
3 → 66
Calls
3 calls:
65.0ms
(+ (/ 4.0 y) (- (/ x y) (* (/ x y) z)))
36.0ms
(- (/ x y) (* (/ x y) z))
24.0ms
(* (/ x y) z)

series177.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(+ (/ 4.0 y) (- (/ x y) (* (/ x y) z)))
76.0ms
(- (/ x y) (* (/ x y) z))
26.0ms
(* (/ x y) z)

simplify1.5s

Counts
75 → 75
Iterations
IterNodes
done5001
21440
1366
0133

prune423.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.1b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))
2.1b
(* (/ (cbrt x) y) z)

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×*-un-lft-identity add-cube-cbrt
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×1-exp
4×associate-*r* pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 109
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
80.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))
29.0ms
(* (/ (cbrt x) y) z)

series730.0ms

Counts
4 → 12
Calls
4 calls:
263.0ms
(cbrt x)
255.0ms
(cbrt x)
73.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))
139.0ms
(* (/ (cbrt x) y) z)

simplify1.9s

Counts
121 → 121
Iterations
IterNodes
done5001
21338
1453
0166

prune757.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.6b
(* (/ x y) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
13×associate-*l*
10×times-frac
9×cbrt-prod add-cbrt-cube add-exp-log
6×pow1
4×add-log-exp
3×pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 65
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
19.0ms
(* (/ x y) z)

series771.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt y)
261.0ms
(cbrt y)
218.0ms
(cbrt y)
28.0ms
(* (/ x y) z)

simplify2.1s

Counts
77 → 77
Iterations
IterNodes
done5004
32645
2606
1194
086

prune455.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes193.0ms

Accuracy

97% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.6b

bsearch80.0ms

Steps
ItersRangePoint
8
4.571568532248585e-27
1.9534460235190362e-22
4.832848088860469e-23
8
-10742594942270654.0
-17239113253358.373
-1329896688031834.0

simplify4.0ms

Iterations
IterNodes
done26
126
020

end0.0ms

sample769.0ms

Algorithm
intervals
Results
532.0ms10103×body80valid