Details

Time bar (total: 41.6s)

sample74.0ms

Algorithm
intervals
Results
34.0ms356×body80valid

simplify5.5s

Counts
1 → 1
Iterations
IterNodes
done5000
91929
8769
7500
6391
5317
4249
3162
275
127
09

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize71.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.3b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r* associate-*r/
3×pow-prod-down add-cube-cbrt
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ insert-posit16 log1p-expm1-u add-log-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac associate-*l* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 57
Calls
2 calls:
102.0ms
(* (* z z) (+ z 1.0))
93.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series193.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(* (* z z) (+ z 1.0))
125.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify3.9s

Counts
63 → 63
Iterations
IterNodes
done5000
22098
1381
0118

prune809.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.2b

localize110.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.7b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.2b
(/ x (* z z))

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-cbrt-cube add-exp-log
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg flip3-+ flip-+
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 116
Calls
3 calls:
33.0ms
(/ y (+ z 1.0))
174.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
39.0ms
(/ x (* z z))

series209.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ y (+ z 1.0))
98.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
59.0ms
(/ x (* z z))

simplify4.3s

Counts
125 → 125
Iterations
IterNodes
done5007
22362
1555
0189

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize153.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
47.0ms
(* (cbrt x) (cbrt x))
5.0ms
(cbrt x)
5.0ms
(cbrt x)
6.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
321.0ms
(* (cbrt x) (cbrt x))
336.0ms
(cbrt x)
298.0ms
(cbrt x)
309.0ms
(cbrt x)

simplify9.1s

Counts
97 → 97
Iterations
IterNodes
done5006
44197
31088
2378
1142
067

prune846.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize213.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 50
Calls
4 calls:
4.0ms
(cbrt x)
20.0ms
(cbrt (* (cbrt x) (cbrt x)))
20.0ms
(cbrt (* (cbrt x) (cbrt x)))
20.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.7s

Counts
4 → 12
Calls
4 calls:
333.0ms
(cbrt x)
441.0ms
(cbrt (* (cbrt x) (cbrt x)))
458.0ms
(cbrt (* (cbrt x) (cbrt x)))
439.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify7.3s

Counts
62 → 62
Iterations
IterNodes
done5003
54217
41262
3453
2197
190
048

prune951.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes1.6s

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done19
119
015

end0.0ms

sample1.4s

Algorithm
intervals
Results
853.0ms10702×body80valid