Details

sample33.0ms

Algorithm

intervals

Results

12.0ms

287×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	37	10
3	60	10
4	103	10
5	163	10
6	214	10
7	241	10
8	280	10
9	321	10
10	406	10
11	504	10
12	572	10
13	636	10
14	664	10
done	664	10

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite152.0ms

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` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

46.0ms	(/ (- z t) (- z a))
94.0ms	(* y (/ (- z t) (- z a)))

series188.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(/ (- z t) (- z a))
103.0ms	(* y (/ (- z t) (- z a)))

simplify2.3s

Counts

112 → 112

Iterations

Useful iterations: 2 (249.0ms)

Iter	Nodes	Cost
0	142	1355
1	354	1282
2	966	1200
3	2928	1200
done	5000	1200

prune396.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize47.0ms

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))

rewrite28.0ms

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` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

4.0ms	(cbrt (- z a))
7.0ms	(cbrt (- z t))
7.0ms	(cbrt (- z t))
8.0ms	(cbrt (- z t))

series996.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(cbrt (- z a))
235.0ms	(cbrt (- z t))
274.0ms	(cbrt (- z t))
257.0ms	(cbrt (- z t))

simplify2.8s

Counts

80 → 80

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	122	784
1	257	760
2	534	728
3	1160	677
4	2970	629
done	5000	612

prune475.0ms

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))))

rewrite180.0ms

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` `expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `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 → 125

Calls

3 calls:

22.0ms	(/ 1 (- z a))
63.0ms	(* (- z t) (/ 1 (- z a)))
86.0ms	(* y (* (- z t) (/ 1 (- z a))))

series232.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(/ 1 (- z a))
75.0ms	(* (- z t) (/ 1 (- z a)))
87.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify4.0s

Counts

134 → 134

Iterations

Useful iterations: 2 (240.0ms)

Iter	Nodes	Cost
0	164	1512
1	379	1232
2	1188	1072
3	4796	1072
done	5000	1072

prune409.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize34.0ms

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)))

rewrite250.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 284

Calls

4 calls:

161.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
15.0ms	(cbrt (/ (- z t) (- z a)))
18.0ms	(cbrt (/ (- z t) (- z a)))
20.0ms	(cbrt (/ (- z t) (- z a)))

series838.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
209.0ms	(cbrt (/ (- z t) (- z a)))
185.0ms	(cbrt (/ (- z t) (- z a)))
201.0ms	(cbrt (/ (- z t) (- z a)))

simplify3.5s

Counts

296 → 296

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	232	6278
1	388	5877
2	1002	5761
3	1686	5477
4	3769	5455
done	5001	5378

prune1.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

Details

sample33.0ms

simplify1.5s

prune10.0ms

localize19.0ms

rewrite152.0ms

series188.0ms

simplify2.3s

prune396.0ms

localize47.0ms

rewrite28.0ms

series996.0ms

simplify2.8s

prune475.0ms

localize12.0ms

rewrite180.0ms

series232.0ms

simplify4.0s

prune409.0ms

localize34.0ms

rewrite250.0ms

series838.0ms

simplify3.5s

prune1.3s

regimes2.0ms