Details

sample193.0ms

Algorithm

intervals

Results

84.0ms	1964×	body	80	nan
13.0ms	259×	body	80	valid

simplify6.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	61	15
3	155	15
4	356	15
5	858	15
6	1598	15
7	2194	15
8	2618	15
9	2630	15
done	2630	15

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
0.5b	(+ (log (+ x y)) (log z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
7×	`pow1` `log-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `log-pow` `distribute-lft-out`
4×	`associate-+l+` `fma-def`
3×	`associate-+r+`
2×	`add-exp-log` `expm1-log1p-u` `associate-+l-` `log-div` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
1×	`+-commutative` `sum-log` `fma-udef`

Counts

2 → 40

Calls

2 calls:

0.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
13.0ms	(+ (log (+ x y)) (log z))

series178.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
78.0ms	(+ (log (+ x y)) (log z))

simplify1.1s

Counts

46 → 46

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	114	567
1	263	548
2	659	490
3	2310	479
done	5000	476

prune176.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `log-pow`
1×	`fma-udef`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (log (+ x y)))
1.0ms	(cbrt (log (+ x y)))
1.0ms	(cbrt (log (+ x y)))
0.0ms	(fma (* (cbrt (log (+ x y))) (cbrt (log (+ x y)))) (cbrt (log (+ x y))) (log z))

series1.9s

Counts

4 → 12

Calls

4 calls:

464.0ms	(cbrt (log (+ x y)))
452.0ms	(cbrt (log (+ x y)))
442.0ms	(cbrt (log (+ x y)))
537.0ms	(fma (* (cbrt (log (+ x y))) (cbrt (log (+ x y)))) (cbrt (log (+ x y))) (log z))

simplify1.6s

Counts

64 → 64

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	56	697
1	98	676
2	175	500
3	421	442
4	1367	440
done	5000	431

prune268.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (- a 0.5) (log t) (- (cbrt (pow (+ (log z) (log (+ x y))) 3)) t))
0.5b	(cbrt (pow (+ (log z) (log (+ x y))) 3))
0.5b	(+ (log z) (log (+ x y)))
0.7b	(pow (+ (log z) (log (+ x y))) 3)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
26×	`pow1`
21×	`log-pow` `distribute-lft-out`
20×	`cbrt-prod`
14×	`unpow-prod-down` `cube-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`log-prod`
5×	`add-exp-log` `add-cbrt-cube`
4×	`cube-div` `expm1-log1p-u` `associate-+r+` `fma-def` `flip3-+` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-+l+`
2×	`cube-mult` `associate-+r-` `log-div` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

4 → 108

Calls

4 calls:

0.0ms	(fma (- a 0.5) (log t) (- (cbrt (pow (+ (log z) (log (+ x y))) 3)) t))
12.0ms	(cbrt (pow (+ (log z) (log (+ x y))) 3))
15.0ms	(+ (log z) (log (+ x y)))
13.0ms	(pow (+ (log z) (log (+ x y))) 3)

series527.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(fma (- a 0.5) (log t) (- (cbrt (pow (+ (log z) (log (+ x y))) 3)) t))
75.0ms	(cbrt (pow (+ (log z) (log (+ x y))) 3))
79.0ms	(+ (log z) (log (+ x y)))
272.0ms	(pow (+ (log z) (log (+ x y))) 3)

simplify570.0ms

Counts

120 → 120

Iterations

Useful iterations: done (566.0ms)

Iter	Nodes	Cost
0	167	1760
1	399	1446
2	1194	1311
done	5000	1302

prune366.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t)))
0.5b	(+ (log (+ x y)) (log z))
0.5b	(+ (log (+ x y)) (log z))
0.5b	(+ (log (+ x y)) (log z))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
21×	`log-prod`
19×	`pow1`
15×	`log-pow` `distribute-lft-out`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`associate-+l+` `fma-def`
9×	`associate-+r+`
6×	`associate-+l-` `log-div` `flip3-+` `flip-+`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`+-commutative` `cbrt-prod` `sum-log`
1×	`pow1/3`

Counts

4 → 103

Calls

4 calls:

1.0ms	(cbrt (fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t)))
12.0ms	(+ (log (+ x y)) (log z))
12.0ms	(+ (log (+ x y)) (log z))
15.0ms	(+ (log (+ x y)) (log z))

series1.2s

Counts

4 → 12

Calls

4 calls:

998.0ms	(cbrt (fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t)))
69.0ms	(+ (log (+ x y)) (log z))
76.0ms	(+ (log (+ x y)) (log z))
78.0ms	(+ (log (+ x y)) (log z))

simplify1.2s

Counts

115 → 115

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	236	2031
1	701	1942
2	2601	1778
done	5000	1741

prune518.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes463.0ms

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	18
1	19	18
done	19	18

end0.0ms

sample1.6s

Algorithm

intervals

Results

731.0ms	16416×	body	80	nan
121.0ms	2246×	body	80	valid