Details

sample151.0ms

Algorithm

intervals

Results

66.0ms	836×	body	80	nan
14.0ms	184×	body	80	valid
11.0ms	28×	body	640	valid
7.0ms	8×	body	1280	valid
6.0ms	25×	body	320	valid
2.0ms	11×	body	160	valid

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	425
1	26	425
2	49	425
3	116	425
4	287	425
5	592	425
6	1183	425
7	2731	425
done	5000	425

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.2b	(* (- x 1.0) (log y))
6.2b	(log (- 1.0 y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`log-prod`
12×	`add-cube-cbrt`
10×	`pow1` `associate-l`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-exp-log`
7×	`add-cbrt-cube`
5×	`distribute-lft-out--` `difference-of-squares`
4×	`associate-*l/`
3×	`flip3--` `log-pow` `flip--` `add-log-exp`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`rem-log-exp`

Counts

3 → 78

Calls

3 calls:

29.0ms	(* (- z 1.0) (log (- 1.0 y)))
18.0ms	(* (- x 1.0) (log y))
7.0ms	(log (- 1.0 y))

series218.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* (- z 1.0) (log (- 1.0 y)))
93.0ms	(* (- x 1.0) (log y))
62.0ms	(log (- 1.0 y))

simplify3.2s

Counts

87 → 87

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	191	26238
1	427	23606
2	1169	22752
3	4456	22552
done	5002	22552

prune568.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2))))
0.0b	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
0.0b	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))
0.2b	(* (- x 1.0) (log y))

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

136×	`associate-*l/`
90×	`flip3--` `flip--`
67×	`frac-times`
54×	`frac-sub`
52×	`frac-add`
43×	`associate-*r/`
32×	`associate--l+`
26×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
24×	`log-prod`
21×	`*-un-lft-identity`
20×	`distribute-rgt-in` `distribute-lft-in`
17×	`add-cube-cbrt`
14×	`pow1` `associate-+r+`
11×	`associate-l` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`sub-neg`
6×	`associate-+l+` `add-log-exp`
5×	`pow-prod-down`
4×	`cbrt-undiv` `div-exp`
3×	`*-commutative` `unswap-sqr`
2×	`distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sum-log` `flip3-+` `log-pow` `flip-+`

Counts

4 → 200

Calls

4 calls:

94.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2))))
39.0ms	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
114.0ms	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))
24.0ms	(* (- x 1.0) (log y))

series383.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2))))
47.0ms	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
88.0ms	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))
69.0ms	(* (- x 1.0) (log y))

simplify3.4s

Counts

212 → 212

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	525	199249
1	1564	164685
done	5002	163634

prune1.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize93.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite25.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

18.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

310.0ms	(* (cbrt y) (cbrt y))
293.0ms	(cbrt y)
348.0ms	(cbrt y)
290.0ms	(cbrt y)

simplify4.0s

Counts

85 → 85

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	61	17134
1	136	14621
2	377	14346
3	971	13666
4	3114	13666
done	5028	13626

prune835.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize86.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (log y))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))
0.5b	(* (cbrt (log y)) (cbrt (log y)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`add-cbrt-cube` `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:

2.0ms	(cbrt (log y))
2.0ms	(cbrt (log y))
2.0ms	(cbrt (log y))
29.0ms	(* (cbrt (log y)) (cbrt (log y)))

series1.6s

Counts

4 → 12

Calls

4 calls:

422.0ms	(cbrt (log y))
383.0ms	(cbrt (log y))
389.0ms	(cbrt (log y))
396.0ms	(* (cbrt (log y)) (cbrt (log y)))

simplify39.0ms

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	62	25791