Details

sample55.0ms

Algorithm

intervals

Results

13.0ms	304×	body	80	valid
10.0ms	293×	body	80	nan

simplify58.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	30	8
1	89	7
2	291	7
3	898	7
4	2565	7
5	5001	7
done	5001	7

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `log-prod`
11×	`add-log-exp`
10×	`add-cube-cbrt`
6×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out` `associate--r+`
5×	`pow1` `fma-neg` `prod-diff`
4×	`add-exp-log` `associate-r` `add-cbrt-cube`
3×	`diff-log` `associate-l` `sum-log`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 60

Calls

2 calls:

194.0ms	(- (+ (+ x y) z) (* z (log t)))
8.0ms	(* z (log t))

series77.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (+ (+ x y) z) (* z (log t)))
37.0ms	(* z (log t))

simplify38.0ms

Counts

66 → 66

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	268	391
1	1227	340
2	5002	323
done	5002	323

prune367.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`prod-diff`
11×	`add-cube-cbrt`
6×	`pow1`
4×	`log-pow`
3×	`log-prod` `fma-neg` `associate--r+` `add-log-exp`
2×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

2 → 46

Calls

2 calls:

8.0ms	(- 1 (log t))
0.0ms	(fma z (- 1 (log t)) (+ x y))

series174.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(- 1 (log t))
50.0ms	(fma z (- 1 (log t)) (+ x y))

simplify108.0ms

Counts

52 → 52

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	209	361
1	731	229
2	3621	181
3	5001	180
done	5001	180

prune162.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma z (log (/ (exp 1) t)) (+ x y))
0.4b	(/ (exp 1) t)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-cbrt-cube`
3×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma z (log (/ (exp 1) t)) (+ x y))
7.0ms	(/ (exp 1) t)

series92.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(fma z (log (/ (exp 1) t)) (+ x y))
30.0ms	(/ (exp 1) t)

simplify39.0ms

Counts

45 → 45

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	154	228
1	399	210
2	1463	206
3	5002	204
done	5002	204

prune203.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite18.0ms

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:

13.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series728.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt t) (cbrt t))
178.0ms	(cbrt t)
171.0ms	(cbrt t)
174.0ms	(cbrt t)

simplify85.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255
done	5001	255

prune370.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes288.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	12
1	27	12
done	27	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

391.0ms	9124×	body	80	valid
319.0ms	9098×	body	80	nan
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid