Details

sample96.0ms

Algorithm

intervals

Results

39.0ms	836×	body	80	nan
14.0ms	256×	body	80	valid

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	304
1	20	304
2	46	304
3	106	304
4	289	304
5	611	304
6	1152	304
7	1668	304
8	2448	304
9	3111	304
10	3593	304
11	3967	304
12	4393	304
13	4748	304
done	5000	304

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* x (log y)) y) z)
0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.2b	(* x (log y))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate--l+`
22×	`*-un-lft-identity`
21×	`log-prod`
16×	`add-sqr-sqrt`
14×	`add-log-exp`
12×	`add-cube-cbrt`
10×	`associate-+l+`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
6×	`diff-log`
5×	`add-cbrt-cube` `add-exp-log`
4×	`sub-neg` `associate-r` `distribute-lft-out`
3×	`associate-+r+` `sum-log` `associate-l` `log-pow` `distribute-lft-out--`
1×	`associate--l-` `+-commutative` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `flip-+` `flip--` `difference-of-squares` `unswap-sqr`

Counts

3 → 80

Calls

3 calls:

40.0ms	(- (- (* x (log y)) y) z)
188.0ms	(+ (- (- (* x (log y)) y) z) (log t))
14.0ms	(* x (log y))

series170.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- (- (* x (log y)) y) z)
64.0ms	(+ (- (- (* x (log y)) y) z) (log t))
64.0ms	(* x (log y))

simplify2.0s

Counts

89 → 89

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	150	24699
1	342	23511
2	1125	22918
done	5001	22228

prune695.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (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)

series1.0s

Counts

4 → 12

Calls

4 calls:

332.0ms	(* (cbrt y) (cbrt y))
212.0ms	(cbrt y)
245.0ms	(cbrt y)
228.0ms	(cbrt y)

simplify3.9s

Counts

85 → 85

Iterations

Useful iterations: done (3.8s)

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

prune704.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.1b	(pow (/ 1 y) -1/3)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
13×	`pow1` `unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `pow-exp` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow`
2×	`div-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `rec-exp` `pow-plus` `1-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `pow-flip` `inv-pow` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

17.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
12.0ms	(pow (/ 1 y) -1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

309.0ms	(* (cbrt y) (cbrt y))
289.0ms	(cbrt y)
289.0ms	(cbrt y)
265.0ms	(pow (/ 1 y) -1/3)

simplify2.4s

Counts

106 → 106

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	135	28491
1	361	23474
2	947	22998
3	2626	22478
done	5076	22438

prune859.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.0b	(* (cbrt -1/3) (cbrt -1/3))
4.1b	(pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3)))
5.3b	(pow (pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

43×	`unpow-prod-down`
38×	`add-sqr-sqrt`
30×	`*-un-lft-identity` `add-cube-cbrt`
22×	`cbrt-prod`
18×	`times-frac`
17×	`add-exp-log`
14×	`pow-exp`
13×	`pow1`
7×	`pow-unpow` `pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow-pow` `add-cbrt-cube` `div-exp` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `sqr-pow`
2×	`rec-exp` `1-exp` `pow-prod-down` `pow-sqr` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `pow-flip` `inv-pow`

Counts

4 → 120

Calls

4 calls:

1.0ms	(cbrt y)
16.0ms	(* (cbrt -1/3) (cbrt -1/3))
12.0ms	(pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3)))
23.0ms	(pow (pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

series1.5s

Counts

4 → 10

Calls

4 calls:

296.0ms	(cbrt y)
0.0ms	(* (cbrt -1/3) (cbrt -1/3))
386.0ms	(pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3)))
783.0ms	(pow (pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

simplify171.0ms

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	186	66028