Details

Time bar (total: 15.2s)

sample26.0ms

Algorithm
intervals
Results
12.0ms325×body80valid

simplify53.0ms

Counts
1 → 1
Iterations
IterNodes
done63
763
661
555
449
342
229
116
010

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize31.0ms

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)

rewrite92.0ms

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:
14.0ms
(/ (+ x 4.0) y)
58.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
15.0ms
(* (/ x y) z)

series130.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (+ x 4.0) y)
54.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
41.0ms
(* (/ x y) z)

simplify2.0s

Counts
126 → 126
Iterations
IterNodes
done5001
22049
1411
0165

prune738.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize81.0ms

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))

rewrite95.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 90
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
86.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series887.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(cbrt x)
296.0ms
(cbrt x)
307.0ms
(cbrt x)
40.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify1.9s

Counts
102 → 102
Iterations
IterNodes
done5001
22578
1431
0125

prune573.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize124.0ms

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))

rewrite136.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 101
Calls
4 calls:
1.0ms
(cbrt x)
8.0ms
(cbrt (* (cbrt x) (cbrt x)))
2.0ms
(cbrt (cbrt x))
116.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (cbrt y)) z))

series1.0s

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt x)
415.0ms
(cbrt (* (cbrt x) (cbrt x)))
292.0ms
(cbrt (cbrt x))
29.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (cbrt y)) z))

simplify2.1s

Counts
113 → 113
Iterations
IterNodes
done5001
23422
1599
0183

prune684.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize127.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))
13.6b
(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z)))
13.6b
(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z)))
13.6b
(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z)))

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
12×associate-*l/
9×pow1 cbrt-div
5×add-sqr-sqrt *-un-lft-identity associate-*l* add-cube-cbrt
4×expm1-log1p-u frac-times associate-*r/ log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 pow-prod-down
1×times-frac associate-*r* *-commutative div-inv
Counts
4 → 93
Calls
4 calls:
60.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))
51.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z)))
67.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z)))
72.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z)))

series454.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))
152.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z)))
146.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z)))
131.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z)))

simplify1.6s

Counts
105 → 105
Iterations
IterNodes
done5001
22330
1452
0149

prune672.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes212.0ms

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

sample1.2s

Algorithm
intervals
Results
914.0ms10088×body80valid