Details

Time bar (total: 35.1s)

sample133.0ms

Algorithm
intervals
Results
60.0ms740×body80nan
19.0ms256×body80valid

simplify3.7s

Counts
1 → 1
Iterations
IterNodes
done5000
134983
124501
114083
103523
92883
82214
71553
61117
5645
4320
3122
251
121
010

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (- (fma (log y) x (log t)) z) y)
0.2b
(fma (log y) x (log t))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
27×add-sqr-sqrt
24×prod-diff
17×add-cube-cbrt
13×associate--l+
7×distribute-lft-out-- add-log-exp
5×fma-neg difference-of-squares
3×diff-log
2×expm1-log1p-u pow1 sub-neg add-cbrt-cube add-exp-log fma-udef log1p-expm1-u
1×associate--l- flip3-- flip--
Counts
2 → 61
Calls
2 calls:
70.0ms
(- (- (fma (log y) x (log t)) z) y)
1.0ms
(fma (log y) x (log t))

series179.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(- (- (fma (log y) x (log t)) z) y)
105.0ms
(fma (log y) x (log t))

simplify2.1s

Counts
67 → 67
Iterations
IterNodes
done5001
32082
2678
1275
0124

prune447.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize72.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))
0.5b
(cbrt (fma (log y) x (log t)))
0.5b
(cbrt (fma (log y) x (log t)))
0.5b
(cbrt (fma (log y) x (log t)))

rewrite23.0ms

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 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 → 81
Calls
4 calls:
16.0ms
(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))
1.0ms
(cbrt (fma (log y) x (log t)))
1.0ms
(cbrt (fma (log y) x (log t)))
1.0ms
(cbrt (fma (log y) x (log t)))

series1.0s

Counts
4 → 12
Calls
4 calls:
404.0ms
(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))
244.0ms
(cbrt (fma (log y) x (log t)))
222.0ms
(cbrt (fma (log y) x (log t)))
170.0ms
(cbrt (fma (log y) x (log t)))

simplify5.1s

Counts
93 → 93
Iterations
IterNodes
done5024
23645
1822
0248

prune854.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (log y) x (log t)))
0.5b
(cbrt (fma (log y) x (log t)))
0.5b
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
0.6b
(cbrt (cbrt (fma (log y) x (log t))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×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 log1p-expm1-u add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt (fma (log y) x (log t)))
1.0ms
(cbrt (fma (log y) x (log t)))
6.0ms
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
2.0ms
(cbrt (cbrt (fma (log y) x (log t))))

series979.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt (fma (log y) x (log t)))
190.0ms
(cbrt (fma (log y) x (log t)))
392.0ms
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
223.0ms
(cbrt (cbrt (fma (log y) x (log t))))

simplify5.7s

Counts
65 → 65
Iterations
IterNodes
done5000
24408
1940
0293

prune768.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize129.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))) (sqrt (cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))))
0.5b
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
0.5b
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
0.6b
(cbrt (cbrt (fma (log y) x (log t))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt sqrt-prod
21×cbrt-prod
19×pow1
14×*-un-lft-identity sqrt-pow1 add-cube-cbrt
9×pow1/3 swap-sqr unswap-sqr
8×pow1/2
7×associate-*r* associate-*l*
6×add-cbrt-cube add-exp-log pow-prod-up
4×expm1-log1p-u pow-prod-down pow-sqr log1p-expm1-u add-log-exp
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 100
Calls
4 calls:
36.0ms
(* (sqrt (cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))) (sqrt (cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))))
8.0ms
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
7.0ms
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
2.0ms
(cbrt (cbrt (fma (log y) x (log t))))

series1.4s

Counts
4 → 12
Calls
4 calls:
405.0ms
(* (sqrt (cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))) (sqrt (cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))))
386.0ms
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
426.0ms
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
174.0ms
(cbrt (cbrt (fma (log y) x (log t))))

simplify6.2s

Counts
112 → 112
Iterations
IterNodes
done5001
23791
1897
0295

prune1.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes700.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
012

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.4s24138×body80nan
689.0ms8035×body80valid
0.0ms1×body1280valid