Details

sample40.0ms

Algorithm

intervals

Results

16.0ms

267×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	30	9
3	69	9
4	180	9
5	349	9
6	576	9
7	913	9
8	1122	9
9	1407	9
10	1465	9
11	1469	9
done	1469	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
8.2b	(/ x (* (- y z) (- t z)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
5×	`associate-r` `associate-l`
4×	`pow1` `associate-r/` `associate-l/`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

2 → 85

Calls

2 calls:

47.0ms	(* (- y z) (- t z))
24.0ms	(/ x (* (- y z) (- t z)))

series243.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* (- y z) (- t z))
193.0ms	(/ x (* (- y z) (- t z)))

simplify1.3s

Counts

91 → 91

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	176	1460
1	384	1275
2	1377	1097
done	5001	1069

prune280.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)
25.0ms	(* (cbrt x) (cbrt x))

series1.1s

Counts

4 → 12

Calls

4 calls:

246.0ms	(cbrt x)
249.0ms	(cbrt x)
299.0ms	(cbrt x)
299.0ms	(* (cbrt x) (cbrt x))

simplify4.6s

Counts

93 → 93

Iterations

Useful iterations: done (4.6s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	325	423
3	1112	405
4	4532	400
done	5000	390

prune357.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- t z))
0.0b	(/ 1 (- y z))
1.1b	(* (/ 1 (- y z)) (/ x (- t z)))

rewrite135.0ms

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--` `flip--` `cbrt-unprod` `div-inv`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

3 → 156

Calls

3 calls:

20.0ms	(/ x (- t z))
16.0ms	(/ 1 (- y z))
87.0ms	(* (/ 1 (- y z)) (/ x (- t z)))

series373.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ x (- t z))
51.0ms	(/ 1 (- y z))
287.0ms	(* (/ 1 (- y z)) (/ x (- t z)))

simplify3.4s

Counts

165 → 165

Iterations

Useful iterations: 2 (358.0ms)

Iter	Nodes	Cost
0	204	1932
1	506	1689
2	1366	1513
3	4060	1513
done	5000	1513

prune528.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- y z))
0.0b	(/ (- t z) x)
0.5b	(/ 1 (/ (- t z) x))
1.1b	(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

292×	`times-frac`
247×	`add-sqr-sqrt`
211×	`*-un-lft-identity`
136×	`add-cube-cbrt`
104×	`add-exp-log`
62×	`associate-r`
52×	`div-exp`
34×	`add-cbrt-cube`
32×	`distribute-lft-out--` `difference-of-squares`
28×	`prod-exp`
27×	`associate-/r*`
21×	`associate-l`
18×	`rec-exp` `1-exp`
15×	`unswap-sqr`
14×	`cbrt-undiv`
12×	`div-inv`
11×	`associate-/l*`
10×	`pow1`
6×	`associate-/r/` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-flip` `log1p-expm1-u` `inv-pow` `add-log-exp`
3×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `flip--`
2×	`associate-/l/`
1×	`frac-times` `div-sub` `associate-r/` `associate-l/` `un-div-inv` `*-commutative`

Counts

4 → 334

Calls

4 calls:

25.0ms	(/ 1 (- y z))
29.0ms	(/ (- t z) x)
18.0ms	(/ 1 (/ (- t z) x))
121.0ms	(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ 1 (- y z))
42.0ms	(/ (- t z) x)
86.0ms	(/ 1 (/ (- t z) x))
948.0ms	(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

simplify2.0s

Counts

346 → 346

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	378	5091
1	1005	4145
2	2158	3518
done	5000	3488

prune579.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	10	11
1	12	9
done	12	9

end0.0ms

sample996.0ms

Algorithm

intervals

Results

494.0ms

8466×

body

valid