Details

sample308.0ms

Algorithm

intervals

Results

147.0ms	857×	body	80	nan
54.0ms	290×	body	80	valid

simplify11.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	20	21
1	39	20
2	109	18
3	424	18
4	1400	18
5	3582	18
done	5000	18

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.0b	(+ (* x (log y)) z)
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

24×	`log-prod` `*-un-lft-identity`
23×	`add-sqr-sqrt`
20×	`add-log-exp`
17×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`sum-log`
10×	`pow1`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
7×	`associate-+l+`
6×	`associate-+r+` `fma-def` `associate-*l/`
4×	`expm1-log1p-u` `flip3-+` `frac-add` `flip-+` `log1p-expm1-u`
3×	`flip3--` `flip--` `distribute-lft-out`
2×	`+-commutative` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 110

Calls

4 calls:

1.0s	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
19.0ms	(+ (* x (log y)) z)
37.0ms	(* (- b 0.5) (log c))
9.0ms	(* x (log y))

series677.0ms

Counts

4 → 12

Calls

4 calls:

406.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
102.0ms	(+ (* x (log y)) z)
89.0ms	(* (- b 0.5) (log c))
78.0ms	(* x (log y))

simplify1.8s

Counts

122 → 122

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	249	1698
1	646	1531
2	2281	1409
done	5001	1391

prune802.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma x (log y) z) t)
0.0b	(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
0.1b	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
0.1b	(fma x (log y) z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

12.0ms	(+ (fma x (log y) z) t)
1.0ms	(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
1.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
1.0ms	(fma x (log y) z)

series1.8s

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (fma x (log y) z) t)
1.1s	(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
510.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
113.0ms	(fma x (log y) z)

simplify1.4s

Counts

60 → 60

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	96	797
1	190	773
2	466	684
3	1866	669
done	5002	654

prune452.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt y))))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

48×	`distribute-rgt-in` `log-prod` `distribute-lft-in`
30×	`cbrt-prod`
24×	`associate-+l+`
23×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `fma-def` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+`

Counts

4 → 108

Calls

4 calls:

34.0ms	(* x (* 2 (log (cbrt y))))
25.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series835.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* x (* 2 (log (cbrt y))))
186.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
236.0ms	(cbrt y)
268.0ms	(cbrt y)

simplify2.0s

Counts

120 → 120

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	165	1406
1	403	1274
2	1142	1027
done	5000	995

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* 2 (log (cbrt y)))) (* (log (expm1 (log1p (cbrt y)))) x))
0.5b	(cbrt y)
0.5b	(cbrt y)
1.8b	(expm1 (log1p (cbrt y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`distribute-rgt-in` `associate-+l+` `log-prod` `distribute-lft-in`
18×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`pow1/3`
1×	`+-commutative` `expm1-log1p` `fma-def` `flip3-+` `sum-log` `flip-+` `expm1-udef`

Counts

4 → 75

Calls

4 calls:

28.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (expm1 (log1p (cbrt y)))) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
0.0ms	(expm1 (log1p (cbrt y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

296.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (expm1 (log1p (cbrt y)))) x))
244.0ms	(cbrt y)
286.0ms	(cbrt y)
446.0ms	(expm1 (log1p (cbrt y)))

simplify4.8s

Counts

87 → 87

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	115	950
1	289	740
2	867	590
3	4297	525
done	5000	525

prune696.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

Details

sample308.0ms

simplify11.7s

prune13.0ms

localize40.0ms

rewrite1.1s

series677.0ms

simplify1.8s

prune802.0ms

localize32.0ms

rewrite15.0ms

series1.8s

simplify1.4s

prune452.0ms

localize55.0ms

rewrite66.0ms

series835.0ms

simplify2.0s

prune1.1s

localize66.0ms

rewrite35.0ms

series1.3s

simplify4.8s

prune696.0ms

regimes8.0ms