Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

263×

body

valid

simplify5.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	205
1	19	205
2	38	205
3	76	205
4	172	205
5	334	205
6	714	205
7	1852	205
8	3068	205
9	3869	205
10	4719	205
done	5000	205

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
7.6b	(/ x (* (- y z) (- y t)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `flip3--` `flip--`
10×	`*-un-lft-identity`
9×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `associate-/r/`
6×	`add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`pow1` `associate-l/` `associate-r/`
3×	`times-frac` `associate-/l*`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

38.0ms	(* (- y z) (- y t))
26.0ms	(/ x (* (- y z) (- y t)))

series123.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* (- y z) (- y t))
75.0ms	(/ x (* (- y z) (- y t)))

simplify1.4s

Counts

69 → 69

Iterations

Useful iterations: 2 (343.0ms)

Iter	Nodes	Cost
0	125	19586
1	315	15743
2	1102	15423
done	5003	15423

prune444.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.5b	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
42×	`times-frac`
40×	`*-un-lft-identity`
36×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
11×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
4×	`associate-/r/` `add-log-exp`
3×	`pow1/3`
2×	`flip3--` `div-inv` `flip--`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 110

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
66.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

series881.0ms

Counts

4 → 12

Calls

4 calls:

261.0ms	(cbrt x)
236.0ms	(cbrt x)
273.0ms	(cbrt x)
111.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

simplify3.1s

Counts

122 → 122

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	180	42289
1	567	38989
2	2226	38105
done	5000	32985

prune756.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y z))
0.0b	(/ x (- y t))
1.6b	(* (/ 1 (- y z)) (/ x (- y t)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
67×	`times-frac`
41×	`add-cube-cbrt`
31×	`add-exp-log`
21×	`associate-r` `associate-l`
19×	`add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`div-exp`
10×	`associate-/r*`
8×	`prod-exp` `associate-/r/`
6×	`pow1` `cbrt-undiv` `associate-/l*` `unswap-sqr`
4×	`flip3--` `cbrt-unprod` `div-inv` `flip--`
3×	`rec-exp` `1-exp` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 150

Calls

3 calls:

19.0ms	(/ 1 (- y z))
16.0ms	(/ x (- y t))
64.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

series289.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ 1 (- y z))
38.0ms	(/ x (- y t))
185.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

simplify153.0ms

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	198	40269