Details

Time bar (total: 14.2s)

sample37.0ms

Algorithm
intervals
Results
14.0ms512×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 4 (83.0ms)

IterNodesCost
01113
12113
25213
317113
434612
558612
669812
780512
8104212
9122512
10122812
done122812

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* z z))
2.6b
(fma (* y 4.0) (- t (* z z)) (* x x))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×add-cube-cbrt *-un-lft-identity add-log-exp
3×fma-neg prod-diff
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
1×sub-neg flip3-- diff-log flip-- fma-udef difference-of-squares
Counts
2 → 31
Calls
2 calls:
6.0ms
(- t (* z z))
0.0ms
(fma (* y 4.0) (- t (* z z)) (* x x))

series156.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- t (* z z))
117.0ms
(fma (* y 4.0) (- t (* z z)) (* x x))

simplify2.0s

Counts
37 → 37
Iterations

Useful iterations: 4 (991.0ms)

IterNodesCost
065421
1139415
2341357
3898348
42934329
done5001329

prune120.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 2.2b

localize10.0ms

Local error

Found 1 expressions with local error:

2.6b
(fma (* y 4.0) (fma z (- z) t) (* x x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (* y 4.0) (fma z (- z) t) (* x x))

series98.0ms

Counts
1 → 3
Calls
1 calls:
98.0ms
(fma (* y 4.0) (fma z (- z) t) (* x x))

simplify1.1s

Counts
13 → 13
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
030200
158200
2153170
3429166
41795166
done5001166

prune52.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.2b

localize14.0ms

Local error

Found 4 expressions with local error:

2.6b
(fma (* y 4.0) (- t (* z z)) (* x x))
3.1b
(cbrt (fma (* y 4.0) (- t (* z z)) (* x x)))
3.1b
(cbrt (fma (* y 4.0) (- t (* z z)) (* x x)))
3.1b
(cbrt (fma (* y 4.0) (- t (* z z)) (* x x)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
0.0ms
(fma (* y 4.0) (- t (* z z)) (* x x))
1.0ms
(cbrt (fma (* y 4.0) (- t (* z z)) (* x x)))
1.0ms
(cbrt (fma (* y 4.0) (- t (* z z)) (* x x)))
1.0ms
(cbrt (fma (* y 4.0) (- t (* z z)) (* x x)))

series1.4s

Counts
4 → 12
Calls
4 calls:
116.0ms
(fma (* y 4.0) (- t (* z z)) (* x x))
430.0ms
(cbrt (fma (* y 4.0) (- t (* z z)) (* x x)))
422.0ms
(cbrt (fma (* y 4.0) (- t (* z z)) (* x x)))
425.0ms
(cbrt (fma (* y 4.0) (- t (* z z)) (* x x)))

simplify1.8s

Counts
61 → 61
Iterations

Useful iterations: 4 (821.0ms)

IterNodesCost
0701108
11421096
2361981
3977959
43602941
done5000941

prune223.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 2.2b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (* 4.0 t) y (* x x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (* 4.0 t) y (* x x))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(fma (* 4.0 t) y (* x x))

simplify3.3s

Counts
13 → 13
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
022140
132137
273121
3241121
4815121
54412121
done5000121

prune39.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 2.2b

regimes256.0ms

Accuracy

0% (0.8b remaining)

Error of 5.9b against oracle of 5.1b and baseline of 5.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11112
done1112

end0.0ms

sample1.0s

Algorithm
intervals
Results
458.0ms15845×body80valid