Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	267×	body	80	valid
0.0ms	1×	body	1280	valid

simplify965.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (27.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	108	13
4	194	12
5	319	12
6	512	12
7	769	12
8	1108	12
9	1346	12
10	1398	12
done	1398	12

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (+ (- t z) 1.0))
0.3b	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out` `distribute-lft-out--`
6×	`difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

25.0ms	(/ (- z y) (+ (- t z) 1.0))
0.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

series130.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (- z y) (+ (- t z) 1.0))
84.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

simplify1.2s

Counts

70 → 70

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	116	1048
1	279	1006
2	766	940
3	3103	936
done	5000	934

prune175.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ (- t z) 1.0))
0.2b	(* (- z y) (/ 1 (+ (- t z) 1.0)))
0.3b	(fma a (* (- z y) (/ 1 (+ (- t z) 1.0))) x)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
32×	`add-sqr-sqrt` `times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
14×	`distribute-lft-out`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--`
6×	`pow1`
5×	`associate-l` `associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `flip3--` `flip3-+` `1-exp` `associate-*l/` `flip--` `cbrt-unprod` `flip-+` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow` `difference-of-squares`

Counts

3 → 105

Calls

3 calls:

19.0ms	(/ 1 (+ (- t z) 1.0))
53.0ms	(* (- z y) (/ 1 (+ (- t z) 1.0)))
0.0ms	(fma a (* (- z y) (/ 1 (+ (- t z) 1.0))) x)

series166.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 1 (+ (- t z) 1.0))
47.0ms	(* (- z y) (/ 1 (+ (- t z) 1.0)))
83.0ms	(fma a (* (- z y) (/ 1 (+ (- t z) 1.0))) x)

simplify597.0ms

Counts

114 → 114

Iterations

Useful iterations: done (594.0ms)

Iter	Nodes	Cost
0	156	1489
1	389	1239
2	1250	1109
done	5000	1108

prune253.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ 1 (+ (- t z) 1.0))) (cbrt (/ 1 (+ (- t z) 1.0))))
0.5b	(cbrt (/ 1 (+ (- t z) 1.0)))
0.5b	(cbrt (/ 1 (+ (- t z) 1.0)))
0.5b	(cbrt (/ 1 (+ (- t z) 1.0)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

270×	`*-un-lft-identity`
211×	`cbrt-prod`
157×	`times-frac`
123×	`add-sqr-sqrt`
83×	`add-cube-cbrt`
66×	`distribute-lft-out`
44×	`swap-sqr`
33×	`distribute-lft-out--`
24×	`associate-r` `associate-l`
16×	`unswap-sqr`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `div-inv`
7×	`cbrt-div` `flip3-+` `flip-+`
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 → 227

Calls

4 calls:

101.0ms	(* (cbrt (/ 1 (+ (- t z) 1.0))) (cbrt (/ 1 (+ (- t z) 1.0))))
10.0ms	(cbrt (/ 1 (+ (- t z) 1.0)))
10.0ms	(cbrt (/ 1 (+ (- t z) 1.0)))
11.0ms	(cbrt (/ 1 (+ (- t z) 1.0)))

series413.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (cbrt (/ 1 (+ (- t z) 1.0))) (cbrt (/ 1 (+ (- t z) 1.0))))
99.0ms	(cbrt (/ 1 (+ (- t z) 1.0)))
99.0ms	(cbrt (/ 1 (+ (- t z) 1.0)))
104.0ms	(cbrt (/ 1 (+ (- t z) 1.0)))

simplify876.0ms

Counts

239 → 239

Iterations

Useful iterations: done (867.0ms)

Iter	Nodes	Cost
0	215	5199
1	418	4360
2	1149	4281
done	5000	4193

prune557.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x)) (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x)))
0.6b	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
0.6b	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
0.6b	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))

rewrite10.0ms

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:

6.0ms	(* (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x)) (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x)))
0.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
0.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
1.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))

series1.8s

Counts

4 → 12

Calls

4 calls:

573.0ms	(* (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x)) (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x)))
419.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
398.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
413.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))

simplify1.8s

Counts

93 → 93

Iterations

Useful iterations: 3 (563.0ms)

Iter	Nodes	Cost
0	124	2539
1	297	2348
2	883	2114
3	3844	1776
done	5001	1776

prune307.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes189.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample542.0ms

Algorithm

intervals

Results

293.0ms	8502×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid