Details

sample172.0ms

Algorithm

intervals

Results

60.0ms	754×	body	80	nan
26.0ms	258×	body	80	valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 4 (131.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	52	11
3	126	11
4	223	10
5	297	10
6	414	10
7	504	10
8	587	10
9	594	10
done	594	10

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* x (log y)) y) z)
0.0b	(- (* x (log y)) y)
0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.2b	(* x (log y))

rewrite554.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
40×	`associate--l+`
38×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
27×	`log-prod` `prod-diff`
22×	`associate-+l+`
17×	`add-log-exp`
12×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
7×	`diff-log`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sub-neg` `fma-def`
4×	`expm1-log1p-u` `fma-neg` `associate-r` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--`
3×	`associate-+r+` `associate-l` `sum-log` `log-pow`
2×	`flip3--` `flip--` `difference-of-squares`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

107.0ms	(- (- (* x (log y)) y) z)
20.0ms	(- (* x (log y)) y)
348.0ms	(+ (- (- (* x (log y)) y) z) (log t))
18.0ms	(* x (log y))

series265.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (- (* x (log y)) y) z)
73.0ms	(- (* x (log y)) y)
60.0ms	(+ (- (- (* x (log y)) y) z) (log t))
71.0ms	(* x (log y))

simplify1.6s

Counts

154 → 154

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	220	1823
1	496	1557
2	1213	1375
done	5000	1268

prune555.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* (log 1) x) (fma (log y) x (- (- y) z))) (log t))
0.1b	(fma (log y) x (- (- y) z))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `associate-+r+` `log-prod` `fma-def` `sum-log`
2×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `flip3-+` `log-pow` `flip-+` `fma-udef`

Counts

2 → 33

Calls

2 calls:

75.0ms	(+ (+ (* (log 1) x) (fma (log y) x (- (- y) z))) (log t))
1.0ms	(fma (log y) x (- (- y) z))

series144.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(+ (+ (* (log 1) x) (fma (log y) x (- (- y) z))) (log t))
63.0ms	(fma (log y) x (- (- y) z))

simplify2.1s

Counts

39 → 39

Iterations

Useful iterations: 3 (690.0ms)

Iter	Nodes	Cost
0	77	633
1	189	570
2	501	448
3	1738	422
done	5000	422

prune185.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite23.0ms

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:

18.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

336.0ms	(* (cbrt y) (cbrt y))
310.0ms	(cbrt y)
272.0ms	(cbrt y)
207.0ms	(cbrt y)

simplify4.7s

Counts

93 → 93

Iterations

Useful iterations: done (4.7s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune526.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
5.9b	(pow y 2/3)
5.9b	(pow y 2/3)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `unpow-prod-down` `pow-unpow`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(cbrt (cbrt y))
4.0ms	(pow y 2/3)
5.0ms	(pow y 2/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

301.0ms	(cbrt y)
315.0ms	(cbrt (cbrt y))
239.0ms	(pow y 2/3)
278.0ms	(pow y 2/3)

simplify1.6s

Counts

79 → 79

Iterations

Useful iterations: 4 (619.0ms)

Iter	Nodes	Cost
0	81	439
1	150	388
2	283	358
3	659	342
4	2222	334
done	5000	334

prune591.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes266.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	31
1	27	31
done	27	31

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.3s	24257×	body	80	nan
1.0s	8031×	body	80	valid
0.0ms	1×	body	640	valid