Details

sample80.0ms

Algorithm

intervals

Results

34.0ms	305×	body	80	valid
17.0ms	354×	body	80	nan

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	11	12
1	26	11
2	57	11
3	118	11
4	204	11
5	301	11
6	380	11
7	531	11
8	800	11
9	1034	11
10	1180	11
11	1186	11
done	1186	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`pow1` `prod-diff`
8×	`distribute-lft-out` `add-log-exp`
7×	`associate-r`
6×	`fma-def`
5×	`add-exp-log` `associate-+r+` `add-cbrt-cube` `distribute-lft-out--`
4×	`log-pow`
3×	`expm1-log1p-u` `log-prod` `flip3-+` `associate-l` `sum-log` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

3 → 82

Calls

3 calls:

49.0ms	(+ (- 1.0 z) (log z))
21.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
135.0ms	(* y (+ (- 1.0 z) (log z)))

series408.0ms

Counts

3 → 9

Calls

3 calls:

236.0ms	(+ (- 1.0 z) (log z))
75.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
97.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.4s

Counts

91 → 91

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	149	1029
1	410	915
2	1357	797
done	5000	796

prune405.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
0.2b	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`cbrt-prod`
8×	`pow1`
6×	`add-exp-log` `associate-+r+` `log-prod` `add-cbrt-cube`
5×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out`
3×	`fma-def` `associate-l`
2×	`flip3-+` `pow1/3` `associate-*r/` `log-pow` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

36.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
9.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
7.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.9s

Counts

4 → 12

Calls

4 calls:

341.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
986.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
308.0ms	(cbrt z)
254.0ms	(cbrt z)

simplify3.4s

Counts

89 → 89

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	122	1064
1	292	1029
2	891	916
3	4044	660
done	5000	660

prune503.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- 1.0 z) y (* 0.5 x))
0.1b	(+ (fma (- 1.0 z) y (* 0.5 x)) (* (log z) y))
0.3b	(* (log z) y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`associate-l`
3×	`expm1-log1p-u` `fma-def` `associate-r` `log1p-expm1-u`
2×	`fma-udef`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 48

Calls

3 calls:

1.0ms	(fma (- 1.0 z) y (* 0.5 x))
13.0ms	(+ (fma (- 1.0 z) y (* 0.5 x)) (* (log z) y))
15.0ms	(* (log z) y)

series268.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(fma (- 1.0 z) y (* 0.5 x))
91.0ms	(+ (fma (- 1.0 z) y (* 0.5 x)) (* (log z) y))
106.0ms	(* (log z) y)

simplify4.9s

Counts

57 → 57

Iterations

Useful iterations: done (4.9s)

Iter	Nodes	Cost
0	96	644
1	233	589
2	690	532
3	2713	508
done	5000	503

prune292.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (fma 2/3 (log z) 1.0) z) y)
0.3b	(* (log (cbrt z)) y)
0.4b	(fma 2/3 (log z) 1.0)
0.6b	(cbrt z)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`associate-l`
9×	`pow1` `add-cube-cbrt`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod`
2×	`pow1/3` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

23.0ms	(* (- (fma 2/3 (log z) 1.0) z) y)
10.0ms	(* (log (cbrt z)) y)
0.0ms	(fma 2/3 (log z) 1.0)
1.0ms	(cbrt z)

series897.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (- (fma 2/3 (log z) 1.0) z) y)
178.0ms	(* (log (cbrt z)) y)
278.0ms	(fma 2/3 (log z) 1.0)
296.0ms	(cbrt z)

simplify3.8s

Counts

81 → 81

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	138	715
1	293	681
2	843	612
3	3259	598
done	5001	593

prune464.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

Details

sample80.0ms

simplify3.8s

prune10.0ms

localize15.0ms

rewrite209.0ms

series408.0ms

simplify1.4s

prune405.0ms

localize28.0ms

rewrite57.0ms

series1.9s

simplify3.4s

prune503.0ms

localize18.0ms

rewrite30.0ms

series268.0ms

simplify4.9s

prune292.0ms

localize40.0ms

rewrite36.0ms

series897.0ms

simplify3.8s

prune464.0ms

regimes2.0ms