Details

Time bar (total: 20.4s)

sample113.0ms

Algorithm
intervals
Results
84.0ms499×body80valid

simplify59.0ms

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

prune42.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize24.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
0.3b
(* (/ x y) (/ x y))

rewrite16.0ms

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*
pow1
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
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:
0.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
14.0ms
(* (/ x y) (/ x y))

series199.0ms

Counts
2 → 6
Calls
2 calls:
170.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
30.0ms
(* (/ x y) (/ x y))

simplify3.6s

Counts
87 → 87
Iterations
IterNodes
done5013
34061
21421
1417
0131

prune430.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
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 y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
344.0ms
(cbrt x)
273.0ms
(cbrt y)
267.0ms
(cbrt y)
321.0ms
(cbrt y)

simplify1.9s

Counts
68 → 68
Iterations
IterNodes
done5060
52872
4966
3364
2176
181
048

prune601.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

13.3b
(cbrt (/ x y))
13.3b
(cbrt (/ x y))
13.3b
(cbrt (/ x y))
13.3b
(cbrt (/ x y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-prod
36×times-frac
32×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
4 → 100
Calls
4 calls:
9.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series471.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(cbrt (/ x y))
143.0ms
(cbrt (/ x y))
110.0ms
(cbrt (/ x y))
105.0ms
(cbrt (/ x y))

simplify2.3s

Counts
112 → 112
Iterations
IterNodes
done5000
53672
41250
3436
2192
1115
079

prune803.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
10.6b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
10.6b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
10.6b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
pow1/3
swap-sqr associate-*r* associate-*l* add-exp-log
expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
8.0ms
(* (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))))
1.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
1.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

series854.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(* (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
211.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
199.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
222.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

simplify2.6s

Counts
97 → 97
Iterations
IterNodes
done5000
43791
31159
2473
1207
099

prune629.0ms

Pruning

17 alts after pruning (14 fresh and 3 done)

Merged error: 0.1b

regimes1.3s

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done17
117
015

end0.0ms

sample3.1s

Algorithm
intervals
Results
2.5s15670×body80valid