Details

Time bar (total: 11.5s)

sample69.0ms

Algorithm
intervals
Results
50.0ms444×body80valid

simplify33.0ms

Counts
1 → 1
Iterations
IterNodes
done56
456
350
244
124
011

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize22.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ x y) (/ x y))
0.3b
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×times-frac
30×*-un-lft-identity add-cube-cbrt
14×add-cbrt-cube add-exp-log
13×swap-sqr associate-*r* associate-*l*
9×pow1
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up fma-udef
Counts
2 → 81
Calls
2 calls:
21.0ms
(* (/ x y) (/ x y))
0.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))

series143.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (/ x y) (/ x y))
115.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))

simplify709.0ms

Counts
87 → 87
Iterations
IterNodes
done2001
21343
1414
0131

prune434.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×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 → 56
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series939.0ms

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt y)
239.0ms
(cbrt x)
222.0ms
(cbrt x)
217.0ms
(cbrt x)

simplify487.0ms

Counts
68 → 68
Iterations
IterNodes
done2000
4844
3362
2176
181
048

prune410.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize54.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×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 → 56
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt x)
265.0ms
(cbrt x)
232.0ms
(cbrt x)
254.0ms
(cbrt x)

simplify632.0ms

Counts
68 → 68
Iterations
IterNodes
done2002
51192
4406
3186
297
147
027

prune800.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
7.9b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
7.9b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
7.9b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

rewrite20.0ms

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:
14.0ms
(* (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
1.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
2.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
2.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

series667.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(* (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
154.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
173.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
179.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

simplify742.0ms

Counts
97 → 97
Iterations
IterNodes
done2001
31159
2473
1207
099

prune477.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.1b

regimes1.1s

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
08

end0.0ms

sample2.6s

Algorithm
intervals
Results
2.0s15494×body80valid