Details

Time bar (total: 14.3s)

sample35.0ms

Algorithm
intervals
Results
14.0ms325×body80valid

simplify54.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.2b
(* (/ x y) z)

rewrite96.0ms

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:
17.0ms
(/ (+ x 4.0) y)
58.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
17.0ms
(* (/ x y) z)

series154.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (+ x 4.0) y)
70.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
32.0ms
(* (/ x y) z)

simplify1.2s

Counts
88 → 88
Iterations
IterNodes
done5000
21650
1351
0142

prune642.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize97.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
9×cbrt-prod pow1
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×associate-*l*
4×add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×frac-times times-frac associate-*r* associate-*r/ *-commutative div-inv
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
107.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series963.0ms

Counts
4 → 12
Calls
4 calls:
297.0ms
(cbrt x)
304.0ms
(cbrt x)
319.0ms
(cbrt x)
43.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify2.2s

Counts
94 → 94
Iterations
IterNodes
done5001
22512
1426
0121

prune646.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize166.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (cbrt x))
0.7b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (cbrt y)) z))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
106×add-exp-log
56×prod-exp cbrt-unprod
54×add-cbrt-cube
26×cbrt-undiv div-exp
13×cbrt-prod
9×pow1
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×associate-*l*
4×add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×frac-times times-frac associate-*r* associate-*r/ *-commutative div-inv
Counts
4 → 93
Calls
4 calls:
1.0ms
(cbrt x)
5.0ms
(cbrt (* (cbrt x) (cbrt x)))
1.0ms
(cbrt (cbrt x))
158.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (cbrt y)) z))

series1.1s

Counts
4 → 12
Calls
4 calls:
261.0ms
(cbrt x)
472.0ms
(cbrt (* (cbrt x) (cbrt x)))
355.0ms
(cbrt (cbrt x))
44.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (cbrt y)) z))

simplify1.9s

Counts
105 → 105
Iterations
IterNodes
done5000
23414
1590
0175

prune610.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x 4.0))
0.0b
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
0.1b
(/ 1 (/ y (+ x 4.0)))
3.2b
(* (/ x y) z)

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
124×times-frac
104×*-un-lft-identity
77×add-sqr-sqrt
72×add-cube-cbrt
22×associate-/r* add-exp-log
16×add-cbrt-cube distribute-lft-out
13×associate-*l*
11×associate-/r/
9×div-exp
7×pow1 div-inv
6×associate-/l* add-log-exp
5×cbrt-undiv flip3-+ flip-+
3×associate-*r*
2×rec-exp clear-num frac-2neg 1-exp associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub pow-flip flip-- inv-pow
Counts
4 → 174
Calls
4 calls:
10.0ms
(/ y (+ x 4.0))
80.0ms
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
25.0ms
(/ 1 (/ y (+ x 4.0)))
22.0ms
(* (/ x y) z)

series194.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ y (+ x 4.0))
70.0ms
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
41.0ms
(/ 1 (/ y (+ x 4.0)))
31.0ms
(* (/ x y) z)

simplify1.7s

Counts
186 → 186
Iterations
IterNodes
done5000
23718
1705
0275

prune913.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes219.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done19
119
016

end0.0ms

sample958.0ms

Algorithm
intervals
Results
633.0ms10088×body80valid