Details

Time bar (total: 13.2s)

sample30.0ms

Algorithm
intervals
Results
13.0ms322×body80valid

simplify83.0ms

Counts
1 → 1
Iterations
IterNodes
done58
758
655
552
446
339
229
116
010

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-cbrt-cube add-exp-log distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-/r* associate-*r* associate-*l/ log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod 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 → 117
Calls
3 calls:
72.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
19.0ms
(/ (+ x 4.0) y)
23.0ms
(* (/ x y) z)

series142.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
35.0ms
(/ (+ x 4.0) y)
32.0ms
(* (/ x y) z)

simplify1.5s

Counts
126 → 126
Iterations
IterNodes
done5001
21414
1411
0165

prune798.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
37×times-frac
31×add-sqr-sqrt
26×add-cube-cbrt
13×fma-def associate-*l*
12×distribute-lft-out
10×add-log-exp
8×add-cbrt-cube fma-neg prod-diff add-exp-log div-inv
5×pow1
4×associate-*l/
3×expm1-log1p-u distribute-rgt-out associate-*r* frac-sub log1p-expm1-u
2×sum-log flip3-+ diff-log frac-add prod-exp cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv +-commutative sub-neg flip3-- div-exp pow-prod-down associate--l+ *-commutative flip--
Counts
3 → 101
Calls
3 calls:
251.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
30.0ms
(+ (/ x y) (/ 4.0 y))
12.0ms
(* (/ x y) z)

series157.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
35.0ms
(+ (/ x y) (/ 4.0 y))
36.0ms
(* (/ x y) z)

simplify1.6s

Counts
110 → 110
Iterations
IterNodes
done5001
21471
1396
0153

prune701.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.9b
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
2.5b
(* (/ x y) (* (cbrt z) (cbrt z)))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
21×add-cbrt-cube
18×add-sqr-sqrt pow1
17×prod-exp cbrt-unprod
15×*-un-lft-identity add-cube-cbrt
14×associate-*l*
10×times-frac
9×cbrt-prod pow-prod-down
7×associate-*r*
4×expm1-log1p-u cbrt-undiv div-exp log1p-expm1-u add-log-exp
3×associate-*l/
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
88.0ms
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
24.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
273.0ms
(cbrt z)
221.0ms
(cbrt z)
56.0ms
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
491.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))

simplify1.3s

Counts
106 → 106
Iterations
IterNodes
done5001
21170
1359
0130

prune540.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt z) (cbrt z)))
0.6b
(cbrt (cbrt z))
0.9b
(* (* (/ x y) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))) (cbrt z))
2.5b
(* (/ x y) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

rewrite403.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
31×add-cbrt-cube prod-exp cbrt-unprod
27×pow1
16×pow-prod-down
15×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
14×associate-*l*
13×cbrt-prod
9×times-frac
7×associate-*r*
6×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l/
2×pow1/3 *-commutative
1×div-inv
Counts
4 → 103
Calls
4 calls:
9.0ms
(cbrt (* (cbrt z) (cbrt z)))
2.0ms
(cbrt (cbrt z))
292.0ms
(* (* (/ x y) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))) (cbrt z))
93.0ms
(* (/ x y) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

series899.0ms

Counts
4 → 12
Calls
4 calls:
393.0ms
(cbrt (* (cbrt z) (cbrt z)))
284.0ms
(cbrt (cbrt z))
47.0ms
(* (* (/ x y) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))) (cbrt z))
174.0ms
(* (/ x y) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

simplify1.6s

Counts
115 → 115
Iterations
IterNodes
done5000
21641
1444
0172

prune573.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes151.0ms

Accuracy

73.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.5b

bsearch91.0ms

Steps
ItersRangePoint
7
1.3961012349491572e-162
2.089064597584604e-160
1.0296033599100243e-161
7
-20115983647.1179
-81829953.9245951
-16246640829.172636

simplify5.0ms

Iterations
IterNodes
done28
128
021

end0.0ms

sample822.0ms

Algorithm
intervals
Results
557.0ms10040×body80valid