Details

sample45.0ms

Algorithm

intervals

Results

22.0ms

287×

body

valid

simplify954.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	35	11
3	56	11
4	94	11
5	140	11
6	167	11
7	183	11
8	206	11
9	239	11
10	296	11
11	328	11
12	370	11
13	405	11
14	417	11
done	417	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.4b	(* y (/ (- z t) (- z a)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

23.0ms	(/ (- z t) (- z a))
71.0ms	(* y (/ (- z t) (- z a)))

series139.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- z t) (- z a))
90.0ms	(* y (/ (- z t) (- z a)))

simplify2.1s

Counts

108 → 108

Iterations

Useful iterations: 2 (244.0ms)

Iter	Nodes	Cost
0	138	1319
1	347	1247
2	946	1165
3	2828	1165
done	5000	1165

prune366.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

8.0ms	(cbrt (- z a))
8.0ms	(cbrt (- z t))
9.0ms	(cbrt (- z t))
9.0ms	(cbrt (- z t))

series827.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt (- z a))
238.0ms	(cbrt (- z t))
205.0ms	(cbrt (- z t))
195.0ms	(cbrt (- z t))

simplify2.2s

Counts

72 → 72

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	118	744
1	245	728
2	486	696
3	1009	650
4	2514	596
done	5001	580

prune424.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
2.4b	(* y (* (- z t) (/ 1 (- z a))))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-exp-log`
24×	`add-cube-cbrt`
22×	`associate-r`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

3 → 119

Calls

3 calls:

24.0ms	(/ 1 (- z a))
93.0ms	(* (- z t) (/ 1 (- z a)))
109.0ms	(* y (* (- z t) (/ 1 (- z a))))

series213.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ 1 (- z a))
63.0ms	(* (- z t) (/ 1 (- z a)))
95.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify4.1s

Counts

128 → 128

Iterations

Useful iterations: 2 (270.0ms)

Iter	Nodes	Cost
0	158	1456
1	369	1185
2	1169	1025
3	4702	1025
done	5002	1025

prune407.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
4.3b	(cbrt (/ (- z t) (- z a)))
4.3b	(cbrt (/ (- z t) (- z a)))
4.3b	(cbrt (/ (- z t) (- z a)))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

118.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
24.0ms	(cbrt (/ (- z t) (- z a)))
10.0ms	(cbrt (/ (- z t) (- z a)))
10.0ms	(cbrt (/ (- z t) (- z a)))

series761.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
180.0ms	(cbrt (/ (- z t) (- z a)))
184.0ms	(cbrt (/ (- z t) (- z a)))
188.0ms	(cbrt (/ (- z t) (- z a)))

simplify4.1s

Counts

288 → 288

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	228	6188
1	380	5793
2	987	5677
3	1628	5405
4	3648	5383
done	5001	5308

prune1.0s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

Details

sample45.0ms

simplify954.0ms

prune4.0ms

localize16.0ms

rewrite99.0ms

series139.0ms

simplify2.1s

prune366.0ms

localize43.0ms

rewrite47.0ms

series827.0ms

simplify2.2s

prune424.0ms

localize12.0ms

rewrite231.0ms

series213.0ms

simplify4.1s

prune407.0ms

localize28.0ms

rewrite191.0ms

series761.0ms

simplify4.1s

prune1.0s

regimes4.0ms