Details

sample42.0ms

Algorithm

intervals

Results

16.0ms

272×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 3 (20.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	63	10
4	106	10
5	167	10
6	222	10
7	255	10
8	289	10
9	338	10
10	450	10
11	570	10
12	624	10
13	636	10
14	638	10
done	638	10

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.3b	(fma (/ (- y z) (- a z)) t x)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

41.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) t x)

series185.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ (- y z) (- a z))
124.0ms	(fma (/ (- y z) (- a z)) t x)

simplify3.1s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	113	884
1	259	856
2	633	808
3	1589	808
4	4605	806
done	5000	806

prune268.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ (- y z) (- a z)) t) x)
0.0b	(/ (- y z) (- a z))
2.3b	(* (/ (- y z) (- a z)) t)

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `associate-r` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 120

Calls

3 calls:

18.0ms	(+ (* (/ (- y z) (- a z)) t) x)
26.0ms	(/ (- y z) (- a z))
85.0ms	(* (/ (- y z) (- a z)) t)

series363.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(+ (* (/ (- y z) (- a z)) t) x)
76.0ms	(/ (- y z) (- a z))
153.0ms	(* (/ (- y z) (- a z)) t)

simplify3.1s

Counts

129 → 129

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	173	1599
1	448	1527
2	1232	1441
3	3945	1433
done	5000	1433

prune508.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
0.6b	(* (cbrt (- a z)) (cbrt (- a z)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

4.0ms	(cbrt (- y z))
4.0ms	(cbrt (- y z))
4.0ms	(cbrt (- y z))
41.0ms	(* (cbrt (- a z)) (cbrt (- a z)))

series972.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(cbrt (- y z))
229.0ms	(cbrt (- y z))
243.0ms	(cbrt (- y z))
221.0ms	(* (cbrt (- a z)) (cbrt (- a z)))

simplify3.2s

Counts

121 → 121

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	166	1434
1	327	1320
2	742	1262
3	1582	1165
4	4191	1125
done	5000	1121

prune671.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ 1 (/ (- a z) (- y z))) t) x)
0.0b	(/ (- a z) (- y z))
0.3b	(/ 1 (/ (- a z) (- y z)))
2.3b	(* (/ 1 (/ (- a z) (- y z))) t)

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-l`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
3×	`associate-r` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `fma-def` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `inv-pow`

Counts

4 → 346

Calls

4 calls:

40.0ms	(+ (* (/ 1 (/ (- a z) (- y z))) t) x)
31.0ms	(/ (- a z) (- y z))
37.0ms	(/ 1 (/ (- a z) (- y z)))
105.0ms	(* (/ 1 (/ (- a z) (- y z))) t)

series1.0s

Counts

4 → 12

Calls

4 calls:

358.0ms	(+ (* (/ 1 (/ (- a z) (- y z))) t) x)
98.0ms	(/ (- a z) (- y z))
269.0ms	(/ 1 (/ (- a z) (- y z)))
302.0ms	(* (/ 1 (/ (- a z) (- y z))) t)

simplify1.6s

Counts

358 → 358

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	380	5660
1	931	4749
2	2080	4352
done	5000	4266

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes353.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	33
1	19	33
done	19	33

end0.0ms

sample1.3s

Algorithm

intervals

Results

600.0ms	8720×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid