Details

Time bar (total: 43.7s)

sample45.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
111
08

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
6.9b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite267.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
75×*-un-lft-identity
57×times-frac
49×add-cube-cbrt
39×prod-diff
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube div-inv associate-/l* add-log-exp
3×fma-neg
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+
Counts
2 → 111
Calls
2 calls:
35.0ms
(- 1.0 (/ y z))
217.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series180.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- 1.0 (/ y z))
138.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify5.2s

Counts
117 → 117
Iterations
IterNodes
done5000
34285
21390
1520
0220

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.2b

localize44.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (- 1.0 (/ y z)))
6.8b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite466.0ms

Algorithm
rewrite-expression-head
Rules
107×add-sqr-sqrt
79×*-un-lft-identity
73×times-frac
60×add-cube-cbrt
39×prod-diff
24×associate-*r*
16×add-exp-log difference-of-squares
10×add-cbrt-cube
8×distribute-lft-out--
6×pow1 associate-/r*
5×div-inv add-log-exp
4×div-exp associate-*l* prod-exp associate-/r/
3×expm1-log1p-u flip3-- fma-neg flip-- log1p-expm1-u associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
3 → 160
Calls
3 calls:
58.0ms
(- 1.0 (/ y z))
98.0ms
(/ 1 (- 1.0 (/ y z)))
288.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series284.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- 1.0 (/ y z))
115.0ms
(/ 1 (- 1.0 (/ y z)))
136.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify3.9s

Counts
169 → 169
Iterations
IterNodes
done5000
21876
1682
0270

prune1.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.2b

localize111.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
7.1b
(cbrt (- 1.0 (/ y z)))
7.1b
(cbrt (- 1.0 (/ y z)))
7.1b
(cbrt (- 1.0 (/ y z)))

rewrite977.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
62×*-un-lft-identity
58×times-frac
49×add-exp-log
45×cbrt-prod
42×associate-*r*
27×add-cube-cbrt
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
14×difference-of-squares
10×flip3-- associate-/r/ flip--
9×distribute-lft-out unswap-sqr
8×cbrt-unprod
7×cbrt-undiv distribute-lft-out--
6×pow1
5×frac-times
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 154
Calls
4 calls:
745.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
52.0ms
(cbrt (- 1.0 (/ y z)))
108.0ms
(cbrt (- 1.0 (/ y z)))
46.0ms
(cbrt (- 1.0 (/ y z)))

series3.8s

Counts
4 → 12
Calls
4 calls:
874.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
1.1s
(cbrt (- 1.0 (/ y z)))
1.1s
(cbrt (- 1.0 (/ y z)))
770.0ms
(cbrt (- 1.0 (/ y z)))

simplify7.9s

Counts
166 → 166
Iterations
IterNodes
done5000
22538
1680
0224

prune3.7s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.2b

localize105.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 1 z) y)))
0.2b
(* (/ 1 z) y)
6.9b
(/ (+ x y) (+ (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 1 z) y))) (* (/ y z) 0)))
7.2b
(* (/ y z) 0)

rewrite666.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
33×times-frac
29×add-cube-cbrt
26×associate-*l*
20×add-exp-log
16×add-cbrt-cube
8×pow1
6×associate-*r* prod-exp
5×unswap-sqr
4×expm1-log1p-u div-exp cbrt-unprod log1p-expm1-u distribute-lft-out associate-/l* add-log-exp
3×cbrt-undiv associate-/r* div-inv
2×flip3-+ pow-prod-down associate-*l/ associate-/r/ *-commutative flip-+ associate-/l/
1×rec-exp frac-2neg 1-exp mul0 clear-num fma-udef
Counts
4 → 119
Calls
4 calls:
1.0ms
(fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 1 z) y)))
56.0ms
(* (/ 1 z) y)
56.0ms
(/ (+ x y) (+ (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 1 z) y))) (* (/ y z) 0)))
532.0ms
(* (/ y z) 0)

series714.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 1 z) y)))
20.0ms
(* (/ 1 z) y)
521.0ms
(/ (+ x y) (+ (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 1 z) y))) (* (/ y z) 0)))
15.0ms
(* (/ y z) 0)

simplify7.7s

Counts
131 → 131
Iterations
IterNodes
done5002
33023
21187
1455
0205

prune1.7s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 5.2b

regimes1.3s

Accuracy

-15.8% (2.2b remaining)

Error of 7.8b against oracle of 5.6b and baseline of 7.5b

bsearch87.0ms

Steps
ItersRangePoint
8
2.091886976424101e+241
4.313660165890731e+245
4.252183677385179e+245

simplify10.0ms

Iterations
IterNodes
done29
129
023

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.0s8000×body80valid