Details

sample137.0ms

Algorithm

intervals

Results

60.0ms	777×	body	80	nan
19.0ms	257×	body	80	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2214
4	521
3	129
2	52
1	21
0	10

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log t) (+ y z))
0.1b	(fma x (log y) (- (log t) (+ y z)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
16×	`prod-diff`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
9×	`pow1`
7×	`log-pow`
6×	`distribute-lft-out`
5×	`add-log-exp`
4×	`fma-neg` `distribute-lft-out--`
3×	`log-prod` `associate--l+`
2×	`expm1-log1p-u` `add-cbrt-cube` `diff-log` `add-exp-log` `log1p-expm1-u`
1×	`sum-log` `sub-neg` `flip3--` `fma-udef` `flip--` `associate--r+` `difference-of-squares`

Counts

2 → 54

Calls

2 calls:

35.0ms	(- (log t) (+ y z))
1.0ms	(fma x (log y) (- (log t) (+ y z)))

series140.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(- (log t) (+ y z))
73.0ms	(fma x (log y) (- (log t) (+ y z)))

simplify1.4s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
2	1091
1	255
0	108

prune318.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (+ 0 (log t)) z) y)
0.0b	(- (+ 0 (log t)) z)
0.1b	(fma x (log y) (- (- (+ 0 (log t)) z) y))

rewrite358.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
51×	`prod-diff`
43×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
26×	`distribute-lft-out`
22×	`distribute-lft-out--`
20×	`associate--l+`
16×	`pow1`
15×	`add-log-exp`
13×	`log-pow`
12×	`fma-neg`
7×	`diff-log`
6×	`difference-of-squares`
3×	`expm1-log1p-u` `sub-neg` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
2×	`sum-log` `flip3--` `flip--`
1×	`associate--l-` `fma-udef`

Counts

3 → 118

Calls

3 calls:

299.0ms	(- (- (+ 0 (log t)) z) y)
53.0ms	(- (+ 0 (log t)) z)
0.0ms	(fma x (log y) (- (- (+ 0 (log t)) z) y))

series235.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- (- (+ 0 (log t)) z) y)
101.0ms	(- (+ 0 (log t)) z)
74.0ms	(fma x (log y) (- (- (+ 0 (log t)) z) y))

simplify1.3s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	1519
1	389
0	164

prune644.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ 0 (log t))) (cbrt (+ 0 (log t))))
0.5b	(cbrt (+ 0 (log t)))
0.5b	(cbrt (+ 0 (log t)))
0.5b	(cbrt (+ 0 (log t)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
51×	`cbrt-prod`
23×	`add-sqr-sqrt`
22×	`pow1` `distribute-lft-out`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`log-pow`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 113

Calls

4 calls:

64.0ms	(* (cbrt (+ 0 (log t))) (cbrt (+ 0 (log t))))
4.0ms	(cbrt (+ 0 (log t)))
4.0ms	(cbrt (+ 0 (log t)))
4.0ms	(cbrt (+ 0 (log t)))

series1.9s

Counts

4 → 12

Calls

4 calls:

768.0ms	(* (cbrt (+ 0 (log t))) (cbrt (+ 0 (log t))))
416.0ms	(cbrt (+ 0 (log t)))
372.0ms	(cbrt (+ 0 (log t)))
390.0ms	(cbrt (+ 0 (log t)))

simplify1.0s

Counts

125 → 125

Iterations

Iter	Nodes
done	5002
2	1066
1	228
0	95

prune784.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (fma x (log y) (- (log t) (+ y z)))) (cbrt (fma x (log y) (- (log t) (+ y z)))))
0.6b	(cbrt (fma x (log y) (- (log t) (+ y z))))
0.6b	(cbrt (fma x (log y) (- (log t) (+ y z))))
0.6b	(cbrt (fma x (log y) (- (log t) (+ y z))))

rewrite13.0ms

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:

9.0ms	(* (cbrt (fma x (log y) (- (log t) (+ y z)))) (cbrt (fma x (log y) (- (log t) (+ y z)))))
1.0ms	(cbrt (fma x (log y) (- (log t) (+ y z))))
1.0ms	(cbrt (fma x (log y) (- (log t) (+ y z))))
1.0ms	(cbrt (fma x (log y) (- (log t) (+ y z))))

series3.4s

Counts

4 → 12

Calls

4 calls:

904.0ms	(* (cbrt (fma x (log y) (- (log t) (+ y z)))) (cbrt (fma x (log y) (- (log t) (+ y z)))))
837.0ms	(cbrt (fma x (log y) (- (log t) (+ y z))))
830.0ms	(cbrt (fma x (log y) (- (log t) (+ y z))))
855.0ms	(cbrt (fma x (log y) (- (log t) (+ y z))))

simplify2.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	2732
1	553
0	181

prune790.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes462.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
2	16
1	15
0	14

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.3s	24360×	body	80	nan
749.0ms	8033×	body	80	valid
1.0ms	2×	body	1280	valid