Details

Time bar (total: 12.5s)

sample44.0ms

Algorithm
intervals
Results
21.0ms308×body80valid

simplify57.0ms

Counts
1 → 1
Iterations
IterNodes
done54
654
551
445
338
229
116
010

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize25.0ms

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)

rewrite86.0ms

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)
57.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
13.0ms
(* (/ x y) z)

series168.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (+ x 4.0) y)
86.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
40.0ms
(* (/ x y) z)

simplify1.2s

Counts
88 → 88
Iterations
IterNodes
done5000
21650
1351
0142

prune540.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite264.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
18×add-sqr-sqrt
16×times-frac
13×associate-*l* add-cube-cbrt
10×add-log-exp
8×add-cbrt-cube add-exp-log
5×pow1
4×associate-*l/ distribute-lft-out
3×associate-*r* frac-sub div-inv
2×sum-log flip3-+ diff-log frac-add prod-exp cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv +-commutative sub-neg distribute-rgt-out flip3-- div-exp pow-prod-down associate--l+ *-commutative flip--
Counts
3 → 66
Calls
3 calls:
20.0ms
(+ (/ x y) (/ 4.0 y))
219.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
23.0ms
(* (/ x y) z)

series145.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ (/ x y) (/ 4.0 y))
77.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
36.0ms
(* (/ x y) z)

simplify1.4s

Counts
75 → 75
Iterations
IterNodes
done5000
21709
1344
0132

prune495.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize32.0ms

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)

rewrite113.0ms

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)
78.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))
30.0ms
(* (/ (cbrt x) y) z)

series775.0ms

Counts
4 → 12
Calls
4 calls:
295.0ms
(cbrt x)
223.0ms
(cbrt x)
63.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))
193.0ms
(* (/ (cbrt x) y) z)

simplify2.8s

Counts
121 → 121
Iterations
IterNodes
done5001
23550
1504
0166

prune742.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize28.0ms

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)

rewrite16.0ms

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)
12.0ms
(* (/ x y) z)

series797.0ms

Counts
4 → 12
Calls
4 calls:
280.0ms
(cbrt y)
251.0ms
(cbrt y)
231.0ms
(cbrt y)
35.0ms
(* (/ x y) z)

simplify871.0ms

Counts
77 → 77
Iterations
IterNodes
done5001
2885
1194
086

prune396.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes281.0ms

Accuracy

97% (0.1b remaining)

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

bsearch91.0ms

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

sample1.1s

Algorithm
intervals
Results
847.0ms10103×body80valid