Details

Time bar (total: 27.9s)

sample55.0ms

Algorithm
intervals
Results
12.0ms313×body80valid

simplify179.0ms

Counts
1 → 1
Iterations
IterNodes
done79
679
578
471
358
235
116
07

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize26.0ms

Local error

Found 1 expressions with local error:

11.4b
(/ (* a1 a2) (* b1 b2))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
cbrt-undiv div-exp prod-exp cbrt-unprod
add-sqr-sqrt expm1-log1p-u pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 24
Calls
1 calls:
32.0ms
(/ (* a1 a2) (* b1 b2))

series78.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(/ (* a1 a2) (* b1 b2))

simplify2.8s

Counts
27 → 27
Iterations
IterNodes
done5001
2922
1168
058

prune404.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

4.3b
(/ (/ (* a1 a2) b1) b2)
6.4b
(/ (* a1 a2) b1)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
associate-/l*
cbrt-undiv div-exp
associate-/r* div-inv
expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 75
Calls
2 calls:
27.0ms
(/ (/ (* a1 a2) b1) b2)
13.0ms
(/ (* a1 a2) b1)

series98.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (/ (* a1 a2) b1) b2)
45.0ms
(/ (* a1 a2) b1)

simplify2.4s

Counts
81 → 81
Iterations
IterNodes
done5002
21014
1311
0128

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.9b
(/ 1 (/ b1 (* a1 a2)))
4.3b
(/ (/ 1 (/ b1 (* a1 a2))) b2)
6.3b
(/ b1 (* a1 a2))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
104×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
61×add-exp-log
36×div-exp
32×associate-/l*
31×add-cbrt-cube
23×div-inv
16×cbrt-undiv
11×associate-/r*
prod-exp
rec-exp 1-exp
associate-/r/
pow1
expm1-log1p-u clear-num frac-2neg cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
pow-flip inv-pow associate-/l/
Counts
3 → 218
Calls
3 calls:
40.0ms
(/ 1 (/ b1 (* a1 a2)))
60.0ms
(/ (/ 1 (/ b1 (* a1 a2))) b2)
11.0ms
(/ b1 (* a1 a2))

series150.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ 1 (/ b1 (* a1 a2)))
59.0ms
(/ (/ 1 (/ b1 (* a1 a2))) b2)
51.0ms
(/ b1 (* a1 a2))

simplify3.3s

Counts
227 → 227
Iterations
IterNodes
done5001
21945
1793
0327

prune2.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
2.8b
(/ (/ a2 b1) (cbrt b2))
8.0b
(* (/ a1 (* (cbrt b2) (cbrt b2))) (/ (/ a2 b1) (cbrt b2)))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
293×times-frac
186×add-sqr-sqrt
154×*-un-lft-identity add-cube-cbrt
91×cbrt-prod
82×associate-*r*
45×add-exp-log
31×add-cbrt-cube
18×cbrt-undiv div-exp
16×div-inv
13×associate-/l*
12×prod-exp cbrt-unprod
10×unswap-sqr
associate-*l*
pow1 associate-/r*
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
pow1/3
frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 275
Calls
4 calls:
2.0ms
(cbrt b2)
2.0ms
(cbrt b2)
17.0ms
(/ (/ a2 b1) (cbrt b2))
128.0ms
(* (/ a1 (* (cbrt b2) (cbrt b2))) (/ (/ a2 b1) (cbrt b2)))

series823.0ms

Counts
4 → 12
Calls
4 calls:
280.0ms
(cbrt b2)
285.0ms
(cbrt b2)
150.0ms
(/ (/ a2 b1) (cbrt b2))
108.0ms
(* (/ a1 (* (cbrt b2) (cbrt b2))) (/ (/ a2 b1) (cbrt b2)))

simplify6.7s

Counts
287 → 287
Iterations
IterNodes
done5003
24761
11224
0386

prune3.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes1.8s

Accuracy

51.5% (5.6b remaining)

Error of 5.6b against oracle of 0.0b and baseline of 11.5b

bsearch1.0ms

simplify17.0ms

Iterations
IterNodes
done34
134
030

end0.0ms

sample1.1s

Algorithm
intervals
Results
473.0ms10032×body80valid