Details

Time bar (total: 23.4s)

sample67.0ms

Algorithm
intervals
Results
24.0ms331×body80valid

simplify128.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.4b
(* (/ x y) z)

rewrite152.0ms

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-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 79
Calls
3 calls:
37.0ms
(/ (+ x 4.0) y)
79.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
31.0ms
(* (/ x y) z)

series181.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ (+ x 4.0) y)
84.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
42.0ms
(* (/ x y) z)

simplify2.1s

Counts
88 → 88
Iterations
IterNodes
done5000
21135
1351
0142

prune758.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (+ x 4.0) y))
0.6b
(cbrt (/ (+ x 4.0) y))
0.6b
(cbrt (/ (+ x 4.0) y))
2.4b
(* (/ x y) z)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
48×cbrt-prod
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
13×associate-*l*
9×add-exp-log add-cbrt-cube distribute-lft-out
6×pow1
4×div-inv add-log-exp
3×cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 107
Calls
4 calls:
10.0ms
(cbrt (/ (+ x 4.0) y))
10.0ms
(cbrt (/ (+ x 4.0) y))
20.0ms
(cbrt (/ (+ x 4.0) y))
33.0ms
(* (/ x y) z)

series590.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt (/ (+ x 4.0) y))
190.0ms
(cbrt (/ (+ x 4.0) y))
179.0ms
(cbrt (/ (+ x 4.0) y))
39.0ms
(* (/ x y) z)

simplify4.0s

Counts
119 → 119
Iterations
IterNodes
done5001
33370
2907
1336
0166

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(* (/ (cbrt x) y) z)
2.8b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

rewrite148.0ms

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×add-cube-cbrt *-un-lft-identity
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:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
36.0ms
(* (/ (cbrt x) y) z)
99.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

series1.2s

Counts
4 → 12
Calls
4 calls:
366.0ms
(cbrt x)
474.0ms
(cbrt x)
252.0ms
(* (/ (cbrt x) y) z)
89.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify2.9s

Counts
121 → 121
Iterations
IterNodes
done5002
21337
1454
0166

prune990.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize104.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (* (cbrt x) (cbrt x)) 1))
0.6b
(cbrt (/ (* (cbrt x) (cbrt x)) 1))
0.9b
(* (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (* (/ (cbrt x) y) z))
2.1b
(* (* (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (* (cbrt x) (cbrt x)) 1))) (* (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (* (/ (cbrt x) y) z)))

rewrite329.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
30×pow1
28×cbrt-div
27×prod-exp cbrt-unprod
25×add-cbrt-cube
22×associate-*l/
21×cbrt-prod
18×frac-times pow-prod-down
12×associate-*r/
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
9×times-frac
4×add-log-exp
3×cbrt-undiv div-exp div-inv
2×pow1/3 associate-*r* *-commutative
Counts
4 → 109
Calls
4 calls:
11.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) 1))
11.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) 1))
71.0ms
(* (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (* (/ (cbrt x) y) z))
227.0ms
(* (* (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (* (cbrt x) (cbrt x)) 1))) (* (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (* (/ (cbrt x) y) z)))

series1.7s

Counts
4 → 12
Calls
4 calls:
579.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) 1))
557.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) 1))
471.0ms
(* (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (* (/ (cbrt x) y) z))
99.0ms
(* (* (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (* (cbrt x) (cbrt x)) 1))) (* (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (* (/ (cbrt x) y) z)))

simplify3.2s

Counts
121 → 121
Iterations
IterNodes
done5001
21569
1423
0160

prune1.5s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes367.0ms

Accuracy

40.3% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.4b

bsearch87.0ms

Steps
ItersRangePoint
7
-2.2514655215282913e-69
-3.881900302986737e-71
-1.2147827505679651e-69

simplify8.0ms

Iterations
IterNodes
done24
124
020

end0.0ms

sample1.3s

Algorithm
intervals
Results
898.0ms10117×body80valid