Details

Time bar (total: 24.7s)

sample86.0ms

Algorithm
intervals
Results
34.0ms408×body80valid

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done5001
52653
4985
3320
2100
138
018

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma (* x 9.0) y b)
0.5b
(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
1.8b
(/ (fma (* x 9.0) y b) z)
11.6b
(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
34×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×fma-neg prod-diff
8×add-cbrt-cube add-exp-log
6×associate-/r* associate-/l* add-log-exp
4×expm1-log1p-u pow1 log1p-expm1-u div-inv
2×cbrt-undiv clear-num frac-2neg flip3-- div-exp flip-- associate-/l/
1×sub-neg diff-log div-sub fma-udef
Counts
4 → 111
Calls
4 calls:
1.0ms
(fma (* x 9.0) y b)
44.0ms
(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
8.0ms
(/ (fma (* x 9.0) y b) z)
97.0ms
(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

series672.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(fma (* x 9.0) y b)
248.0ms
(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
119.0ms
(/ (fma (* x 9.0) y b) z)
256.0ms
(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

simplify920.0ms

Counts
123 → 123
Iterations
IterNodes
done5000
21668
1388
0170

prune1.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.9b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (/ (* t a) c))
0.1b
(fma (* y x) 9.0 b)
5.7b
(/ (* t a) c)
9.6b
(/ (fma (* y x) 9.0 b) (* c z))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube add-exp-log
13×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
4×expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
3×associate-*l* div-inv
2×clear-num frac-2neg
1×pow-prod-down associate-*r/ *-commutative fma-udef unswap-sqr
Counts
4 → 85
Calls
4 calls:
25.0ms
(* 4.0 (/ (* t a) c))
0.0ms
(fma (* y x) 9.0 b)
7.0ms
(/ (* t a) c)
6.0ms
(/ (fma (* y x) 9.0 b) (* c z))

series215.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* 4.0 (/ (* t a) c))
43.0ms
(fma (* y x) 9.0 b)
24.0ms
(/ (* t a) c)
92.0ms
(/ (fma (* y x) 9.0 b) (* c z))

simplify1.2s

Counts
97 → 97
Iterations
IterNodes
done5000
21808
1356
0146

prune991.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.7b

localize99.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
0.6b
(cbrt c)
3.4b
(* (/ (/ t (cbrt c)) (cbrt c)) (/ a (cbrt c)))
9.6b
(/ (fma (* y x) 9.0 b) (* c z))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
305×times-frac
230×add-sqr-sqrt
157×cbrt-prod
144×*-un-lft-identity add-cube-cbrt
136×associate-*l*
30×add-exp-log
22×associate-*r*
21×add-cbrt-cube unswap-sqr
11×cbrt-undiv div-exp
9×div-inv
7×prod-exp cbrt-unprod
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/l*
2×pow1/3
1×frac-times clear-num associate-/r* frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 254
Calls
4 calls:
1.0ms
(cbrt c)
1.0ms
(cbrt c)
157.0ms
(* (/ (/ t (cbrt c)) (cbrt c)) (/ a (cbrt c)))
15.0ms
(/ (fma (* y x) 9.0 b) (* c z))

series738.0ms

Counts
4 → 12
Calls
4 calls:
314.0ms
(cbrt c)
270.0ms
(cbrt c)
69.0ms
(* (/ (/ t (cbrt c)) (cbrt c)) (/ a (cbrt c)))
83.0ms
(/ (fma (* y x) 9.0 b) (* c z))

simplify696.0ms

Counts
266 → 266
Iterations
IterNodes
done5001
11081
0344

prune4.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize84.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
1.7b
(/ c (fma (* y x) 9.0 b))
3.4b
(* (/ (/ t (cbrt c)) (cbrt c)) (/ a (cbrt c)))
5.7b
(* (/ c (fma (* y x) 9.0 b)) z)

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
321×times-frac
248×add-sqr-sqrt
157×*-un-lft-identity add-cube-cbrt
154×cbrt-prod
149×associate-*l*
32×add-exp-log
25×associate-*r*
23×add-cbrt-cube unswap-sqr
11×cbrt-undiv div-exp
10×div-inv
8×pow1 prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
2×pow-prod-down associate-*l/ *-commutative
1×frac-times clear-num frac-2neg pow1/3 associate-*r/
Counts
4 → 281
Calls
4 calls:
1.0ms
(cbrt c)
8.0ms
(/ c (fma (* y x) 9.0 b))
148.0ms
(* (/ (/ t (cbrt c)) (cbrt c)) (/ a (cbrt c)))
27.0ms
(* (/ c (fma (* y x) 9.0 b)) z)

series632.0ms

Counts
4 → 12
Calls
4 calls:
314.0ms
(cbrt c)
75.0ms
(/ c (fma (* y x) 9.0 b))
89.0ms
(* (/ (/ t (cbrt c)) (cbrt c)) (/ a (cbrt c)))
153.0ms
(* (/ c (fma (* y x) 9.0 b)) z)

simplify755.0ms

Counts
293 → 293
Iterations
IterNodes
done5000
11161
0375

prune3.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

regimes2.4s

Accuracy

56.1% (4.9b remaining)

Error of 5.4b against oracle of 0.5b and baseline of 11.7b

bsearch5.0ms

simplify12.0ms

Iterations
IterNodes
done69
169
055

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.9s12826×body80valid